TSTP Solution File: GRP167-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP167-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 16:14:38 EDT 2022
% Result : Unsatisfiable 34.78s 4.76s
% Output : Refutation 34.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 189
% Syntax : Number of formulae : 1115 ( 449 unt; 0 def)
% Number of atoms : 1791 ( 897 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1186 ( 510 ~; 509 |; 0 &)
% ( 167 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 169 ( 167 usr; 168 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 1882 (1882 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42664,plain,
$false,
inference(avatar_smt_refutation,[],[f28,f33,f120,f121,f132,f133,f4428,f4435,f4437,f4447,f4449,f4454,f4487,f4492,f4496,f4501,f4506,f4510,f4514,f4519,f4525,f4529,f4533,f4537,f4542,f4546,f4550,f4554,f4560,f4569,f4573,f4577,f4581,f4586,f4591,f4625,f4688,f4700,f4723,f4736,f4842,f4848,f4864,f4887,f4895,f5017,f5019,f5023,f5043,f5256,f5275,f5281,f6114,f6119,f6124,f6129,f6133,f6139,f6143,f6146,f6147,f6151,f6155,f6163,f6164,f6165,f6239,f6245,f6253,f6290,f6680,f6685,f6689,f6696,f6860,f6881,f6895,f6899,f7158,f7250,f7255,f7259,f7266,f7272,f7276,f7287,f7301,f7309,f7313,f7788,f7801,f7829,f8032,f8040,f8557,f9502,f9512,f9528,f9537,f11415,f11423,f11456,f11543,f11553,f11968,f11988,f12250,f12500,f12504,f12505,f12507,f12522,f12527,f12532,f12535,f12542,f12546,f12548,f12552,f12557,f12561,f12564,f12569,f12573,f12574,f12578,f12584,f12666,f12685,f12690,f12694,f12697,f12712,f12980,f12987,f13280,f13290,f13414,f13429,f13496,f13527,f13770,f13778,f13783,f13790,f13797,f13803,f13808,f13815,f13819,f13826,f13831,f13836,f13939,f13984,f14067,f14074,f14096,f14231,f14236,f14265,f14272,f14282,f14371,f14380,f14386,f14391,f14393,f14399,f14403,f14412,f14416,f14422,f14433,f14438,f14445,f14449,f14454,f14466,f14470,f14534,f14539,f14544,f14549,f14554,f14557,f14564,f14569,f14581,f14590,f14596,f14598,f14604,f14609,f14614,f14622,f14625,f14629,f14634,f15136,f15344,f15599,f15605,f15610,f15619,f15623,f15628,f15638,f15641,f15645,f15661,f15667,f15672,f15676,f15774,f41460]) ).
fof(f41460,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f41459]) ).
fof(f41459,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f41458]) ).
fof(f41458,plain,
( a != a
| spl0_1
| ~ spl0_2 ),
inference(backward_demodulation,[],[f27,f41454]) ).
fof(f41454,plain,
( ! [X14] : multiply(positive_part(X14),negative_part(X14)) = X14
| ~ spl0_2 ),
inference(forward_demodulation,[],[f41319,f1666]) ).
fof(f1666,plain,
! [X26] : multiply(positive_part(X26),negative_part(X26)) = multiply(negative_part(X26),positive_part(X26)),
inference(forward_demodulation,[],[f1651,f99]) ).
fof(f99,plain,
! [X12,X13] : multiply(positive_part(X13),X12) = least_upper_bound(X12,multiply(X13,X12)),
inference(forward_demodulation,[],[f98,f19]) ).
fof(f19,axiom,
! [X0] : positive_part(X0) = least_upper_bound(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_4) ).
fof(f98,plain,
! [X12,X13] : multiply(least_upper_bound(X13,identity),X12) = least_upper_bound(X12,multiply(X13,X12)),
inference(forward_demodulation,[],[f81,f5]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f81,plain,
! [X12,X13] : multiply(least_upper_bound(X13,identity),X12) = least_upper_bound(multiply(X13,X12),X12),
inference(superposition,[],[f14,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub2) ).
fof(f1651,plain,
! [X26] : least_upper_bound(negative_part(X26),multiply(X26,negative_part(X26))) = multiply(negative_part(X26),positive_part(X26)),
inference(superposition,[],[f836,f856]) ).
fof(f856,plain,
! [X26] : multiply(X26,negative_part(X26)) = multiply(negative_part(X26),X26),
inference(forward_demodulation,[],[f828,f726]) ).
fof(f726,plain,
! [X4] : multiply(X4,identity) = X4,
inference(forward_demodulation,[],[f692,f17]) ).
fof(f17,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_2) ).
fof(f692,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f687,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f687,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f660,f1]) ).
fof(f660,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f828,plain,
! [X26] : multiply(X26,multiply(negative_part(X26),identity)) = multiply(negative_part(X26),X26),
inference(superposition,[],[f107,f726]) ).
fof(f107,plain,
! [X2,X3] : multiply(X2,multiply(negative_part(X2),X3)) = multiply(negative_part(X2),multiply(X2,X3)),
inference(forward_demodulation,[],[f105,f94]) ).
fof(f94,plain,
! [X16,X17] : greatest_lower_bound(X16,multiply(X17,X16)) = multiply(negative_part(X17),X16),
inference(forward_demodulation,[],[f93,f4]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f93,plain,
! [X16,X17] : greatest_lower_bound(multiply(X17,X16),X16) = multiply(negative_part(X17),X16),
inference(forward_demodulation,[],[f83,f20]) ).
fof(f20,axiom,
! [X0] : negative_part(X0) = greatest_lower_bound(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_5) ).
fof(f83,plain,
! [X16,X17] : greatest_lower_bound(multiply(X17,X16),X16) = multiply(greatest_lower_bound(X17,identity),X16),
inference(superposition,[],[f15,f1]) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb2) ).
fof(f105,plain,
! [X2,X3] : multiply(X2,greatest_lower_bound(X3,multiply(X2,X3))) = multiply(negative_part(X2),multiply(X2,X3)),
inference(superposition,[],[f94,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb1) ).
fof(f836,plain,
! [X2,X3] : multiply(X2,positive_part(X3)) = least_upper_bound(X2,multiply(X2,X3)),
inference(forward_demodulation,[],[f816,f786]) ).
fof(f786,plain,
! [X0] : positive_part(X0) = least_upper_bound(identity,X0),
inference(forward_demodulation,[],[f785,f1]) ).
fof(f785,plain,
! [X0] : positive_part(X0) = least_upper_bound(identity,multiply(identity,X0)),
inference(forward_demodulation,[],[f749,f686]) ).
fof(f686,plain,
! [X25] : positive_part(X25) = multiply(positive_part(inverse(X25)),X25),
inference(forward_demodulation,[],[f672,f19]) ).
fof(f672,plain,
! [X25] : least_upper_bound(X25,identity) = multiply(positive_part(inverse(X25)),X25),
inference(superposition,[],[f99,f2]) ).
fof(f749,plain,
! [X0] : least_upper_bound(identity,multiply(identity,X0)) = multiply(positive_part(inverse(X0)),X0),
inference(superposition,[],[f665,f19]) ).
fof(f665,plain,
! [X10,X11] : least_upper_bound(identity,multiply(X11,X10)) = multiply(least_upper_bound(inverse(X10),X11),X10),
inference(superposition,[],[f14,f2]) ).
fof(f816,plain,
! [X2,X3] : multiply(X2,least_upper_bound(identity,X3)) = least_upper_bound(X2,multiply(X2,X3)),
inference(superposition,[],[f12,f726]) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f41319,plain,
( ! [X14] : multiply(negative_part(X14),positive_part(X14)) = X14
| ~ spl0_2 ),
inference(backward_demodulation,[],[f1579,f41308]) ).
fof(f41308,plain,
( ! [X77] : inverse(negative_part(inverse(X77))) = positive_part(X77)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f41307,f1]) ).
fof(f41307,plain,
( ! [X77] : inverse(negative_part(inverse(X77))) = multiply(identity,positive_part(X77))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f41304,f32]) ).
fof(f32,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_2
<=> identity = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f41304,plain,
( ! [X77] : inverse(negative_part(inverse(X77))) = multiply(inverse(identity),positive_part(X77))
| ~ spl0_2 ),
inference(superposition,[],[f8642,f40726]) ).
fof(f40726,plain,
( ! [X25] : identity = multiply(positive_part(X25),negative_part(inverse(X25)))
| ~ spl0_2 ),
inference(backward_demodulation,[],[f21684,f40725]) ).
fof(f40725,plain,
( ! [X60] : identity = positive_part(greatest_lower_bound(X60,inverse(X60)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f40684,f32]) ).
fof(f40684,plain,
! [X60] : inverse(identity) = positive_part(greatest_lower_bound(X60,inverse(X60))),
inference(superposition,[],[f17,f40623]) ).
fof(f40623,plain,
! [X140] : identity = inverse(positive_part(greatest_lower_bound(X140,inverse(X140)))),
inference(forward_demodulation,[],[f40622,f1928]) ).
fof(f1928,plain,
! [X2] : negative_part(inverse(positive_part(X2))) = inverse(positive_part(X2)),
inference(forward_demodulation,[],[f1904,f726]) ).
fof(f1904,plain,
! [X2] : negative_part(inverse(positive_part(X2))) = multiply(inverse(positive_part(X2)),identity),
inference(superposition,[],[f729,f1882]) ).
fof(f1882,plain,
! [X6] : identity = negative_part(positive_part(X6)),
inference(forward_demodulation,[],[f1874,f786]) ).
fof(f1874,plain,
! [X6] : identity = negative_part(least_upper_bound(identity,X6)),
inference(superposition,[],[f843,f11]) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f843,plain,
! [X24] : negative_part(X24) = greatest_lower_bound(identity,X24),
inference(forward_demodulation,[],[f826,f726]) ).
fof(f826,plain,
! [X24] : greatest_lower_bound(identity,X24) = multiply(negative_part(X24),identity),
inference(superposition,[],[f94,f726]) ).
fof(f729,plain,
! [X26] : multiply(inverse(X26),negative_part(X26)) = negative_part(inverse(X26)),
inference(backward_demodulation,[],[f683,f726]) ).
fof(f683,plain,
! [X26] : multiply(inverse(X26),negative_part(X26)) = multiply(negative_part(inverse(X26)),identity),
inference(backward_demodulation,[],[f673,f682]) ).
fof(f682,plain,
! [X24] : negative_part(X24) = multiply(negative_part(inverse(X24)),X24),
inference(forward_demodulation,[],[f671,f20]) ).
fof(f671,plain,
! [X24] : multiply(negative_part(inverse(X24)),X24) = greatest_lower_bound(X24,identity),
inference(superposition,[],[f94,f2]) ).
fof(f673,plain,
! [X26] : multiply(negative_part(inverse(X26)),identity) = multiply(inverse(X26),multiply(negative_part(inverse(X26)),X26)),
inference(superposition,[],[f107,f2]) ).
fof(f40622,plain,
! [X140] : identity = negative_part(inverse(positive_part(greatest_lower_bound(X140,inverse(X140))))),
inference(forward_demodulation,[],[f40621,f21686]) ).
fof(f21686,plain,
! [X26] : multiply(positive_part(inverse(X26)),negative_part(X26)) = positive_part(greatest_lower_bound(X26,inverse(X26))),
inference(backward_demodulation,[],[f1741,f21680]) ).
fof(f21680,plain,
! [X111,X110] : greatest_lower_bound(positive_part(X111),positive_part(X110)) = positive_part(greatest_lower_bound(X111,X110)),
inference(forward_demodulation,[],[f21679,f786]) ).
fof(f21679,plain,
! [X111,X110] : greatest_lower_bound(positive_part(X111),positive_part(X110)) = least_upper_bound(identity,greatest_lower_bound(X111,X110)),
inference(forward_demodulation,[],[f21606,f786]) ).
fof(f21606,plain,
! [X111,X110] : least_upper_bound(identity,greatest_lower_bound(X111,X110)) = greatest_lower_bound(least_upper_bound(identity,X111),positive_part(X110)),
inference(superposition,[],[f21,f786]) ).
fof(f21,axiom,
! [X2,X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(least_upper_bound(X0,X1),least_upper_bound(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_6) ).
fof(f1741,plain,
! [X26] : greatest_lower_bound(positive_part(X26),positive_part(inverse(X26))) = multiply(positive_part(inverse(X26)),negative_part(X26)),
inference(backward_demodulation,[],[f1170,f1738]) ).
fof(f1738,plain,
! [X24] : least_upper_bound(negative_part(X24),negative_part(inverse(X24))) = greatest_lower_bound(positive_part(X24),positive_part(inverse(X24))),
inference(forward_demodulation,[],[f1737,f1652]) ).
fof(f1652,plain,
! [X27] : multiply(negative_part(X27),positive_part(inverse(X27))) = least_upper_bound(negative_part(X27),negative_part(inverse(X27))),
inference(superposition,[],[f836,f925]) ).
fof(f925,plain,
! [X0] : multiply(negative_part(X0),inverse(X0)) = negative_part(inverse(X0)),
inference(superposition,[],[f682,f17]) ).
fof(f1737,plain,
! [X24] : multiply(negative_part(X24),positive_part(inverse(X24))) = greatest_lower_bound(positive_part(X24),positive_part(inverse(X24))),
inference(forward_demodulation,[],[f1716,f4]) ).
fof(f1716,plain,
! [X24] : multiply(negative_part(X24),positive_part(inverse(X24))) = greatest_lower_bound(positive_part(inverse(X24)),positive_part(X24)),
inference(superposition,[],[f94,f1684]) ).
fof(f1684,plain,
! [X3] : positive_part(X3) = multiply(X3,positive_part(inverse(X3))),
inference(forward_demodulation,[],[f1635,f19]) ).
fof(f1635,plain,
! [X3] : multiply(X3,positive_part(inverse(X3))) = least_upper_bound(X3,identity),
inference(superposition,[],[f836,f658]) ).
fof(f658,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f17]) ).
fof(f1170,plain,
! [X26] : multiply(positive_part(inverse(X26)),negative_part(X26)) = least_upper_bound(negative_part(X26),negative_part(inverse(X26))),
inference(superposition,[],[f99,f729]) ).
fof(f40621,plain,
! [X140] : identity = negative_part(inverse(multiply(positive_part(inverse(X140)),negative_part(X140)))),
inference(forward_demodulation,[],[f40620,f18]) ).
fof(f18,axiom,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_3) ).
fof(f40620,plain,
! [X140] : identity = negative_part(multiply(inverse(negative_part(X140)),inverse(positive_part(inverse(X140))))),
inference(forward_demodulation,[],[f40499,f1847]) ).
fof(f1847,plain,
! [X3] : positive_part(inverse(negative_part(X3))) = inverse(negative_part(X3)),
inference(forward_demodulation,[],[f1846,f1]) ).
fof(f1846,plain,
! [X3] : multiply(identity,inverse(negative_part(X3))) = positive_part(inverse(negative_part(X3))),
inference(superposition,[],[f955,f1830]) ).
fof(f1830,plain,
! [X14] : identity = positive_part(negative_part(X14)),
inference(forward_demodulation,[],[f1815,f786]) ).
fof(f1815,plain,
! [X14] : identity = least_upper_bound(identity,negative_part(X14)),
inference(superposition,[],[f10,f843]) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f955,plain,
! [X0] : multiply(positive_part(X0),inverse(X0)) = positive_part(inverse(X0)),
inference(superposition,[],[f686,f17]) ).
fof(f40499,plain,
! [X140] : identity = negative_part(multiply(positive_part(inverse(negative_part(X140))),inverse(positive_part(inverse(X140))))),
inference(superposition,[],[f31340,f2252]) ).
fof(f2252,plain,
! [X0] : inverse(X0) = greatest_lower_bound(inverse(X0),inverse(negative_part(X0))),
inference(superposition,[],[f1949,f17]) ).
fof(f1949,plain,
! [X24] : greatest_lower_bound(X24,inverse(negative_part(inverse(X24)))) = X24,
inference(forward_demodulation,[],[f1941,f1579]) ).
fof(f1941,plain,
! [X24] : multiply(negative_part(X24),inverse(negative_part(inverse(X24)))) = greatest_lower_bound(X24,inverse(negative_part(inverse(X24)))),
inference(backward_demodulation,[],[f1629,f1940]) ).
fof(f1940,plain,
! [X0] : negative_part(X0) = negative_part(negative_part(X0)),
inference(forward_demodulation,[],[f1939,f843]) ).
fof(f1939,plain,
! [X0] : negative_part(X0) = greatest_lower_bound(identity,negative_part(X0)),
inference(forward_demodulation,[],[f1935,f4]) ).
fof(f1935,plain,
! [X0] : negative_part(X0) = greatest_lower_bound(negative_part(X0),identity),
inference(superposition,[],[f1863,f1830]) ).
fof(f1863,plain,
! [X5] : greatest_lower_bound(X5,positive_part(X5)) = X5,
inference(superposition,[],[f11,f19]) ).
fof(f1629,plain,
! [X24] : greatest_lower_bound(X24,inverse(negative_part(inverse(X24)))) = multiply(negative_part(negative_part(X24)),inverse(negative_part(inverse(X24)))),
inference(forward_demodulation,[],[f1611,f4]) ).
fof(f1611,plain,
! [X24] : greatest_lower_bound(inverse(negative_part(inverse(X24))),X24) = multiply(negative_part(negative_part(X24)),inverse(negative_part(inverse(X24)))),
inference(superposition,[],[f94,f1579]) ).
fof(f31340,plain,
! [X34,X33] : identity = negative_part(multiply(positive_part(X33),inverse(positive_part(greatest_lower_bound(X34,X33))))),
inference(superposition,[],[f19681,f1809]) ).
fof(f1809,plain,
! [X2,X1] : least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
inference(superposition,[],[f10,f4]) ).
fof(f19681,plain,
! [X38,X39] : identity = negative_part(multiply(positive_part(least_upper_bound(X39,X38)),inverse(positive_part(X38)))),
inference(forward_demodulation,[],[f19618,f1066]) ).
fof(f1066,plain,
! [X16,X17] : multiply(greatest_lower_bound(X17,X16),inverse(X16)) = negative_part(multiply(X17,inverse(X16))),
inference(forward_demodulation,[],[f1065,f843]) ).
fof(f1065,plain,
! [X16,X17] : multiply(greatest_lower_bound(X17,X16),inverse(X16)) = greatest_lower_bound(identity,multiply(X17,inverse(X16))),
inference(forward_demodulation,[],[f1046,f4]) ).
fof(f1046,plain,
! [X16,X17] : multiply(greatest_lower_bound(X17,X16),inverse(X16)) = greatest_lower_bound(multiply(X17,inverse(X16)),identity),
inference(superposition,[],[f15,f658]) ).
fof(f19618,plain,
! [X38,X39] : identity = multiply(greatest_lower_bound(positive_part(least_upper_bound(X39,X38)),positive_part(X38)),inverse(positive_part(X38))),
inference(superposition,[],[f2823,f19338]) ).
fof(f19338,plain,
! [X26,X27] : positive_part(X27) = greatest_lower_bound(positive_part(X27),positive_part(least_upper_bound(X26,X27))),
inference(superposition,[],[f1861,f19190]) ).
fof(f19190,plain,
! [X94,X93] : positive_part(least_upper_bound(X93,X94)) = least_upper_bound(X93,positive_part(X94)),
inference(forward_demodulation,[],[f19166,f19]) ).
fof(f19166,plain,
! [X94,X93] : positive_part(least_upper_bound(X93,X94)) = least_upper_bound(X93,least_upper_bound(X94,identity)),
inference(superposition,[],[f19,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_lub) ).
fof(f1861,plain,
! [X2,X1] : greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f2823,plain,
! [X82,X81] : identity = multiply(greatest_lower_bound(X82,X81),inverse(greatest_lower_bound(X81,X82))),
inference(superposition,[],[f658,f1230]) ).
fof(f1230,plain,
! [X8,X9,X7] : multiply(greatest_lower_bound(X7,X9),X8) = multiply(greatest_lower_bound(X9,X7),X8),
inference(forward_demodulation,[],[f1228,f15]) ).
fof(f1228,plain,
! [X8,X9,X7] : multiply(greatest_lower_bound(X7,X9),X8) = greatest_lower_bound(multiply(X9,X8),multiply(X7,X8)),
inference(superposition,[],[f15,f4]) ).
fof(f21684,plain,
! [X25] : positive_part(greatest_lower_bound(X25,inverse(X25))) = multiply(positive_part(X25),negative_part(inverse(X25))),
inference(backward_demodulation,[],[f1742,f21680]) ).
fof(f1742,plain,
! [X25] : greatest_lower_bound(positive_part(X25),positive_part(inverse(X25))) = multiply(positive_part(X25),negative_part(inverse(X25))),
inference(backward_demodulation,[],[f1148,f1738]) ).
fof(f1148,plain,
! [X25] : least_upper_bound(negative_part(X25),negative_part(inverse(X25))) = multiply(positive_part(X25),negative_part(inverse(X25))),
inference(forward_demodulation,[],[f1136,f5]) ).
fof(f1136,plain,
! [X25] : multiply(positive_part(X25),negative_part(inverse(X25))) = least_upper_bound(negative_part(inverse(X25)),negative_part(X25)),
inference(superposition,[],[f99,f1071]) ).
fof(f1071,plain,
! [X26] : negative_part(X26) = multiply(X26,negative_part(inverse(X26))),
inference(forward_demodulation,[],[f1070,f726]) ).
fof(f1070,plain,
! [X26] : multiply(negative_part(X26),identity) = multiply(X26,negative_part(inverse(X26))),
inference(forward_demodulation,[],[f1051,f925]) ).
fof(f1051,plain,
! [X26] : multiply(negative_part(X26),identity) = multiply(X26,multiply(negative_part(X26),inverse(X26))),
inference(superposition,[],[f107,f658]) ).
fof(f8642,plain,
! [X24,X23] : multiply(inverse(multiply(X23,X24)),X23) = inverse(X24),
inference(forward_demodulation,[],[f8641,f8479]) ).
fof(f8479,plain,
! [X21,X22,X20] : multiply(inverse(X20),multiply(inverse(X21),X22)) = multiply(inverse(multiply(X21,X20)),X22),
inference(superposition,[],[f3,f18]) ).
fof(f8641,plain,
! [X24,X23] : inverse(X24) = multiply(inverse(X24),multiply(inverse(X23),X23)),
inference(forward_demodulation,[],[f8640,f3]) ).
fof(f8640,plain,
! [X24,X23] : multiply(multiply(inverse(X24),inverse(X23)),X23) = inverse(X24),
inference(forward_demodulation,[],[f8588,f8457]) ).
fof(f8457,plain,
! [X4,X5] : inverse(multiply(inverse(X4),X5)) = multiply(inverse(X5),X4),
inference(superposition,[],[f18,f17]) ).
fof(f8588,plain,
! [X24,X23] : multiply(inverse(multiply(inverse(inverse(X23)),X24)),X23) = inverse(X24),
inference(superposition,[],[f8457,f688]) ).
fof(f688,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f687,f17]) ).
fof(f1579,plain,
! [X14] : multiply(negative_part(X14),inverse(negative_part(inverse(X14)))) = X14,
inference(forward_demodulation,[],[f1540,f17]) ).
fof(f1540,plain,
! [X14] : inverse(inverse(X14)) = multiply(negative_part(X14),inverse(negative_part(inverse(X14)))),
inference(superposition,[],[f1508,f729]) ).
fof(f1508,plain,
! [X46,X45] : inverse(X45) = multiply(X46,inverse(multiply(X45,X46))),
inference(forward_demodulation,[],[f1449,f726]) ).
fof(f1449,plain,
! [X46,X45] : multiply(inverse(X45),identity) = multiply(X46,inverse(multiply(X45,X46))),
inference(superposition,[],[f687,f1037]) ).
fof(f1037,plain,
! [X2,X1] : identity = multiply(X1,multiply(X2,inverse(multiply(X1,X2)))),
inference(superposition,[],[f658,f3]) ).
fof(f27,plain,
( a != multiply(positive_part(a),negative_part(a))
| spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_1
<=> a = multiply(positive_part(a),negative_part(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f15774,plain,
( spl0_167
| ~ spl0_5
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f15770,f11454,f4426,f15772]) ).
fof(f15772,plain,
( spl0_167
<=> ! [X45,X44,X46] : positive_part(least_upper_bound(X44,least_upper_bound(X45,multiply(X44,negative_part(X46))))) = positive_part(least_upper_bound(X44,X45)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f4426,plain,
( spl0_5
<=> ! [X18,X17] : positive_part(least_upper_bound(X17,X18)) = least_upper_bound(positive_part(X17),X18) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f11454,plain,
( spl0_78
<=> ! [X18,X17] : greatest_lower_bound(X17,positive_part(least_upper_bound(X17,X18))) = X17 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f15770,plain,
( ! [X46,X44,X45] : positive_part(least_upper_bound(X44,least_upper_bound(X45,multiply(X44,negative_part(X46))))) = positive_part(least_upper_bound(X44,X45))
| ~ spl0_5
| ~ spl0_78 ),
inference(forward_demodulation,[],[f15769,f7]) ).
fof(f15769,plain,
( ! [X46,X44,X45] : positive_part(least_upper_bound(X44,X45)) = positive_part(least_upper_bound(least_upper_bound(X44,X45),multiply(X44,negative_part(X46))))
| ~ spl0_5
| ~ spl0_78 ),
inference(forward_demodulation,[],[f15699,f4427]) ).
fof(f4427,plain,
( ! [X18,X17] : positive_part(least_upper_bound(X17,X18)) = least_upper_bound(positive_part(X17),X18)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f4426]) ).
fof(f15699,plain,
( ! [X46,X44,X45] : least_upper_bound(positive_part(least_upper_bound(X44,X45)),multiply(X44,negative_part(X46))) = positive_part(least_upper_bound(X44,X45))
| ~ spl0_78 ),
inference(superposition,[],[f14847,f11455]) ).
fof(f11455,plain,
( ! [X18,X17] : greatest_lower_bound(X17,positive_part(least_upper_bound(X17,X18))) = X17
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f11454]) ).
fof(f14847,plain,
! [X18,X19,X17] : least_upper_bound(X19,multiply(greatest_lower_bound(X17,X19),negative_part(X18))) = X19,
inference(superposition,[],[f13626,f15]) ).
fof(f13626,plain,
! [X14,X15,X13] : least_upper_bound(X13,greatest_lower_bound(X15,multiply(X13,negative_part(X14)))) = X13,
inference(superposition,[],[f12012,f846]) ).
fof(f846,plain,
! [X6,X7] : multiply(X6,negative_part(X7)) = greatest_lower_bound(X6,multiply(X6,X7)),
inference(backward_demodulation,[],[f818,f843]) ).
fof(f818,plain,
! [X6,X7] : greatest_lower_bound(X6,multiply(X6,X7)) = multiply(X6,greatest_lower_bound(identity,X7)),
inference(superposition,[],[f13,f726]) ).
fof(f12012,plain,
! [X6,X7,X5] : least_upper_bound(X6,greatest_lower_bound(X7,greatest_lower_bound(X6,X5))) = X6,
inference(superposition,[],[f11291,f4]) ).
fof(f11291,plain,
! [X34,X35,X33] : least_upper_bound(X35,greatest_lower_bound(X33,greatest_lower_bound(X34,X35))) = X35,
inference(superposition,[],[f1809,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_glb) ).
fof(f15676,plain,
( spl0_166
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15573,f14397,f15674]) ).
fof(f15674,plain,
( spl0_166
<=> ! [X60,X59,X58] : least_upper_bound(multiply(positive_part(X58),positive_part(X59)),greatest_lower_bound(X60,X58)) = multiply(positive_part(X58),positive_part(X59)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f14397,plain,
( spl0_131
<=> ! [X82,X81] : greatest_lower_bound(X81,multiply(positive_part(X81),positive_part(X82))) = X81 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f15573,plain,
( ! [X58,X59,X60] : least_upper_bound(multiply(positive_part(X58),positive_part(X59)),greatest_lower_bound(X60,X58)) = multiply(positive_part(X58),positive_part(X59))
| ~ spl0_131 ),
inference(superposition,[],[f11291,f14398]) ).
fof(f14398,plain,
( ! [X82,X81] : greatest_lower_bound(X81,multiply(positive_part(X81),positive_part(X82))) = X81
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f14397]) ).
fof(f15672,plain,
( spl0_165
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15562,f14397,f15670]) ).
fof(f15670,plain,
( spl0_165
<=> ! [X6,X5,X7] : greatest_lower_bound(X5,X7) = greatest_lower_bound(X5,greatest_lower_bound(multiply(positive_part(X5),positive_part(X6)),X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f15562,plain,
( ! [X6,X7,X5] : greatest_lower_bound(X5,X7) = greatest_lower_bound(X5,greatest_lower_bound(multiply(positive_part(X5),positive_part(X6)),X7))
| ~ spl0_131 ),
inference(superposition,[],[f6,f14398]) ).
fof(f15667,plain,
( spl0_164
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15663,f14397,f15665]) ).
fof(f15665,plain,
( spl0_164
<=> ! [X30,X31] : identity = negative_part(multiply(positive_part(X30),multiply(positive_part(X31),inverse(X30)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f15663,plain,
( ! [X31,X30] : identity = negative_part(multiply(positive_part(X30),multiply(positive_part(X31),inverse(X30))))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f15662,f3]) ).
fof(f15662,plain,
( ! [X31,X30] : identity = negative_part(multiply(multiply(positive_part(X30),positive_part(X31)),inverse(X30)))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f15566,f1066]) ).
fof(f15566,plain,
( ! [X31,X30] : identity = multiply(greatest_lower_bound(multiply(positive_part(X30),positive_part(X31)),X30),inverse(X30))
| ~ spl0_131 ),
inference(superposition,[],[f2823,f14398]) ).
fof(f15661,plain,
( spl0_163
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15657,f14397,f15659]) ).
fof(f15659,plain,
( spl0_163
<=> ! [X32,X33] : identity = inverse(negative_part(multiply(positive_part(X32),multiply(positive_part(X33),inverse(X32))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f15657,plain,
( ! [X32,X33] : identity = inverse(negative_part(multiply(positive_part(X32),multiply(positive_part(X33),inverse(X32)))))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f15656,f3]) ).
fof(f15656,plain,
( ! [X32,X33] : identity = inverse(negative_part(multiply(multiply(positive_part(X32),positive_part(X33)),inverse(X32))))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f15567,f5342]) ).
fof(f5342,plain,
! [X16,X15] : multiply(X15,inverse(greatest_lower_bound(X16,X15))) = inverse(negative_part(multiply(X16,inverse(X15)))),
inference(forward_demodulation,[],[f5341,f1940]) ).
fof(f5341,plain,
! [X16,X15] : multiply(X15,inverse(greatest_lower_bound(X16,X15))) = inverse(negative_part(negative_part(multiply(X16,inverse(X15))))),
inference(forward_demodulation,[],[f5340,f1066]) ).
fof(f5340,plain,
! [X16,X15] : multiply(X15,inverse(greatest_lower_bound(X16,X15))) = inverse(negative_part(multiply(greatest_lower_bound(X16,X15),inverse(X15)))),
inference(forward_demodulation,[],[f5339,f1570]) ).
fof(f1570,plain,
! [X48,X47] : multiply(X47,inverse(X48)) = inverse(multiply(X48,inverse(X47))),
inference(superposition,[],[f688,f1508]) ).
fof(f5339,plain,
! [X16,X15] : multiply(X15,inverse(greatest_lower_bound(X16,X15))) = inverse(negative_part(inverse(multiply(X15,inverse(greatest_lower_bound(X16,X15)))))),
inference(forward_demodulation,[],[f5320,f1]) ).
fof(f5320,plain,
! [X16,X15] : multiply(X15,inverse(greatest_lower_bound(X16,X15))) = multiply(identity,inverse(negative_part(inverse(multiply(X15,inverse(greatest_lower_bound(X16,X15))))))),
inference(superposition,[],[f1579,f3870]) ).
fof(f3870,plain,
! [X2,X3] : identity = negative_part(multiply(X2,inverse(greatest_lower_bound(X3,X2)))),
inference(superposition,[],[f3712,f2846]) ).
fof(f2846,plain,
! [X68,X69] : inverse(greatest_lower_bound(X69,X68)) = inverse(greatest_lower_bound(X68,X69)),
inference(forward_demodulation,[],[f2791,f1508]) ).
fof(f2791,plain,
! [X70,X68,X69] : multiply(X70,inverse(multiply(greatest_lower_bound(X69,X68),X70))) = inverse(greatest_lower_bound(X68,X69)),
inference(superposition,[],[f1508,f1230]) ).
fof(f3712,plain,
! [X14,X13] : identity = negative_part(multiply(X13,inverse(greatest_lower_bound(X13,X14)))),
inference(forward_demodulation,[],[f3673,f1064]) ).
fof(f1064,plain,
! [X14,X15] : multiply(greatest_lower_bound(X14,X15),inverse(X14)) = negative_part(multiply(X15,inverse(X14))),
inference(forward_demodulation,[],[f1045,f843]) ).
fof(f1045,plain,
! [X14,X15] : multiply(greatest_lower_bound(X14,X15),inverse(X14)) = greatest_lower_bound(identity,multiply(X15,inverse(X14))),
inference(superposition,[],[f15,f658]) ).
fof(f3673,plain,
! [X14,X13] : identity = multiply(greatest_lower_bound(greatest_lower_bound(X13,X14),X13),inverse(greatest_lower_bound(X13,X14))),
inference(superposition,[],[f2823,f3285]) ).
fof(f3285,plain,
! [X2,X1] : greatest_lower_bound(X2,greatest_lower_bound(X2,X1)) = greatest_lower_bound(X2,X1),
inference(superposition,[],[f2389,f4]) ).
fof(f2389,plain,
! [X11,X12] : greatest_lower_bound(X11,greatest_lower_bound(X12,X11)) = greatest_lower_bound(X11,X12),
inference(forward_demodulation,[],[f2364,f6]) ).
fof(f2364,plain,
! [X11,X12] : greatest_lower_bound(greatest_lower_bound(X11,X12),X11) = greatest_lower_bound(X11,X12),
inference(superposition,[],[f1861,f10]) ).
fof(f15567,plain,
( ! [X32,X33] : identity = multiply(X32,inverse(greatest_lower_bound(multiply(positive_part(X32),positive_part(X33)),X32)))
| ~ spl0_131 ),
inference(superposition,[],[f2823,f14398]) ).
fof(f15645,plain,
( spl0_162
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15544,f14397,f15643]) ).
fof(f15643,plain,
( spl0_162
<=> ! [X13,X12] : greatest_lower_bound(X13,multiply(positive_part(X13),inverse(negative_part(X12)))) = X13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f15544,plain,
( ! [X12,X13] : greatest_lower_bound(X13,multiply(positive_part(X13),inverse(negative_part(X12)))) = X13
| ~ spl0_131 ),
inference(superposition,[],[f14398,f1847]) ).
fof(f15641,plain,
( spl0_160
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15534,f14397,f15626]) ).
fof(f15626,plain,
( spl0_160
<=> ! [X22,X20,X21] : least_upper_bound(X20,X21) = greatest_lower_bound(least_upper_bound(X20,X21),multiply(positive_part(least_upper_bound(X21,X20)),positive_part(X22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f15534,plain,
( ! [X24,X25,X23] : greatest_lower_bound(least_upper_bound(X23,X24),multiply(positive_part(least_upper_bound(X24,X23)),positive_part(X25))) = least_upper_bound(X23,X24)
| ~ spl0_131 ),
inference(superposition,[],[f14398,f3391]) ).
fof(f3391,plain,
! [X46,X47] : positive_part(least_upper_bound(X47,X46)) = positive_part(least_upper_bound(X46,X47)),
inference(forward_demodulation,[],[f3381,f3168]) ).
fof(f3168,plain,
! [X28,X29] : positive_part(least_upper_bound(X28,X29)) = multiply(least_upper_bound(X29,X28),positive_part(inverse(least_upper_bound(X28,X29)))),
inference(superposition,[],[f1265,f1684]) ).
fof(f1265,plain,
! [X10,X11,X12] : multiply(least_upper_bound(X10,X12),X11) = multiply(least_upper_bound(X12,X10),X11),
inference(forward_demodulation,[],[f1252,f14]) ).
fof(f1252,plain,
! [X10,X11,X12] : multiply(least_upper_bound(X10,X12),X11) = least_upper_bound(multiply(X12,X11),multiply(X10,X11)),
inference(superposition,[],[f14,f5]) ).
fof(f3381,plain,
! [X46,X47] : multiply(least_upper_bound(X46,X47),positive_part(inverse(least_upper_bound(X47,X46)))) = positive_part(least_upper_bound(X46,X47)),
inference(superposition,[],[f1684,f3263]) ).
fof(f3263,plain,
! [X68,X69] : inverse(least_upper_bound(X68,X69)) = inverse(least_upper_bound(X69,X68)),
inference(forward_demodulation,[],[f3189,f1508]) ).
fof(f3189,plain,
! [X70,X68,X69] : multiply(X70,inverse(multiply(least_upper_bound(X69,X68),X70))) = inverse(least_upper_bound(X68,X69)),
inference(superposition,[],[f1508,f1265]) ).
fof(f15638,plain,
( spl0_161
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15634,f14397,f15636]) ).
fof(f15636,plain,
( spl0_161
<=> ! [X27,X26] : least_upper_bound(X26,multiply(positive_part(X26),positive_part(X27))) = multiply(positive_part(X26),positive_part(X27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f15634,plain,
( ! [X26,X27] : least_upper_bound(X26,multiply(positive_part(X26),positive_part(X27))) = multiply(positive_part(X26),positive_part(X27))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f15565,f5]) ).
fof(f15565,plain,
( ! [X26,X27] : multiply(positive_part(X26),positive_part(X27)) = least_upper_bound(multiply(positive_part(X26),positive_part(X27)),X26)
| ~ spl0_131 ),
inference(superposition,[],[f1809,f14398]) ).
fof(f15628,plain,
( spl0_160
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15533,f14397,f15626]) ).
fof(f15533,plain,
( ! [X21,X22,X20] : least_upper_bound(X20,X21) = greatest_lower_bound(least_upper_bound(X20,X21),multiply(positive_part(least_upper_bound(X21,X20)),positive_part(X22)))
| ~ spl0_131 ),
inference(superposition,[],[f14398,f3391]) ).
fof(f15623,plain,
( spl0_159
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15559,f14397,f15617]) ).
fof(f15617,plain,
( spl0_159
<=> ! [X89,X91,X90] : greatest_lower_bound(X89,greatest_lower_bound(X90,multiply(positive_part(greatest_lower_bound(X89,X90)),positive_part(X91)))) = greatest_lower_bound(X89,X90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f15559,plain,
( ! [X14,X15,X13] : greatest_lower_bound(X13,X14) = greatest_lower_bound(X13,greatest_lower_bound(X14,multiply(positive_part(greatest_lower_bound(X13,X14)),positive_part(X15))))
| ~ spl0_131 ),
inference(superposition,[],[f14398,f6]) ).
fof(f15619,plain,
( spl0_159
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15585,f14397,f15617]) ).
fof(f15585,plain,
( ! [X90,X91,X89] : greatest_lower_bound(X89,greatest_lower_bound(X90,multiply(positive_part(greatest_lower_bound(X89,X90)),positive_part(X91)))) = greatest_lower_bound(X89,X90)
| ~ spl0_131 ),
inference(superposition,[],[f6,f14398]) ).
fof(f15610,plain,
( spl0_158
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15609,f14397,f15603]) ).
fof(f15603,plain,
( spl0_158
<=> ! [X18,X17,X19] : greatest_lower_bound(X17,X18) = greatest_lower_bound(X17,greatest_lower_bound(X18,multiply(positive_part(greatest_lower_bound(X18,X17)),positive_part(X19)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f15609,plain,
( ! [X16,X14,X15] : greatest_lower_bound(X14,greatest_lower_bound(X15,multiply(positive_part(greatest_lower_bound(X15,X14)),positive_part(X16)))) = greatest_lower_bound(X14,X15)
| ~ spl0_131 ),
inference(forward_demodulation,[],[f15531,f6]) ).
fof(f15531,plain,
( ! [X16,X14,X15] : greatest_lower_bound(greatest_lower_bound(X14,X15),multiply(positive_part(greatest_lower_bound(X15,X14)),positive_part(X16))) = greatest_lower_bound(X14,X15)
| ~ spl0_131 ),
inference(superposition,[],[f14398,f3120]) ).
fof(f3120,plain,
! [X46,X47] : positive_part(greatest_lower_bound(X46,X47)) = positive_part(greatest_lower_bound(X47,X46)),
inference(forward_demodulation,[],[f3110,f2825]) ).
fof(f2825,plain,
! [X86,X87] : multiply(greatest_lower_bound(X87,X86),positive_part(inverse(greatest_lower_bound(X86,X87)))) = positive_part(greatest_lower_bound(X86,X87)),
inference(superposition,[],[f1684,f1230]) ).
fof(f3110,plain,
! [X46,X47] : positive_part(greatest_lower_bound(X46,X47)) = multiply(greatest_lower_bound(X46,X47),positive_part(inverse(greatest_lower_bound(X47,X46)))),
inference(superposition,[],[f1684,f2846]) ).
fof(f15605,plain,
( spl0_158
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15601,f14397,f15603]) ).
fof(f15601,plain,
( ! [X18,X19,X17] : greatest_lower_bound(X17,X18) = greatest_lower_bound(X17,greatest_lower_bound(X18,multiply(positive_part(greatest_lower_bound(X18,X17)),positive_part(X19))))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f15532,f6]) ).
fof(f15532,plain,
( ! [X18,X19,X17] : greatest_lower_bound(X17,X18) = greatest_lower_bound(greatest_lower_bound(X17,X18),multiply(positive_part(greatest_lower_bound(X18,X17)),positive_part(X19)))
| ~ spl0_131 ),
inference(superposition,[],[f14398,f3120]) ).
fof(f15599,plain,
( spl0_157
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f15595,f14397,f15597]) ).
fof(f15597,plain,
( spl0_157
<=> ! [X84,X83] : identity = negative_part(multiply(positive_part(inverse(X83)),multiply(positive_part(X84),X83))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f15595,plain,
( ! [X83,X84] : identity = negative_part(multiply(positive_part(inverse(X83)),multiply(positive_part(X84),X83)))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f15594,f2]) ).
fof(f15594,plain,
( ! [X83,X84] : multiply(inverse(X83),X83) = negative_part(multiply(positive_part(inverse(X83)),multiply(positive_part(X84),X83)))
| ~ spl0_131 ),
inference(forward_demodulation,[],[f15582,f3]) ).
fof(f15582,plain,
( ! [X83,X84] : multiply(inverse(X83),X83) = negative_part(multiply(multiply(positive_part(inverse(X83)),positive_part(X84)),X83))
| ~ spl0_131 ),
inference(superposition,[],[f847,f14398]) ).
fof(f847,plain,
! [X14,X15] : multiply(greatest_lower_bound(inverse(X14),X15),X14) = negative_part(multiply(X15,X14)),
inference(backward_demodulation,[],[f667,f843]) ).
fof(f667,plain,
! [X14,X15] : multiply(greatest_lower_bound(inverse(X14),X15),X14) = greatest_lower_bound(identity,multiply(X15,X14)),
inference(superposition,[],[f15,f2]) ).
fof(f15344,plain,
( spl0_156
| ~ spl0_5
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f15340,f11454,f4426,f15342]) ).
fof(f15342,plain,
( spl0_156
<=> ! [X41,X43,X42] : positive_part(least_upper_bound(X41,X42)) = positive_part(least_upper_bound(X41,least_upper_bound(X42,multiply(negative_part(X43),X41)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f15340,plain,
( ! [X41,X42,X43] : positive_part(least_upper_bound(X41,X42)) = positive_part(least_upper_bound(X41,least_upper_bound(X42,multiply(negative_part(X43),X41))))
| ~ spl0_5
| ~ spl0_78 ),
inference(forward_demodulation,[],[f15339,f7]) ).
fof(f15339,plain,
( ! [X41,X42,X43] : positive_part(least_upper_bound(least_upper_bound(X41,X42),multiply(negative_part(X43),X41))) = positive_part(least_upper_bound(X41,X42))
| ~ spl0_5
| ~ spl0_78 ),
inference(forward_demodulation,[],[f15255,f4427]) ).
fof(f15255,plain,
( ! [X41,X42,X43] : least_upper_bound(positive_part(least_upper_bound(X41,X42)),multiply(negative_part(X43),X41)) = positive_part(least_upper_bound(X41,X42))
| ~ spl0_78 ),
inference(superposition,[],[f13894,f11455]) ).
fof(f13894,plain,
! [X16,X14,X15] : least_upper_bound(X16,multiply(negative_part(X14),greatest_lower_bound(X15,X16))) = X16,
inference(superposition,[],[f13625,f13]) ).
fof(f13625,plain,
! [X10,X11,X12] : least_upper_bound(X10,greatest_lower_bound(X12,multiply(negative_part(X11),X10))) = X10,
inference(superposition,[],[f12012,f94]) ).
fof(f15136,plain,
( spl0_155
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f15132,f6122,f15134]) ).
fof(f15134,plain,
( spl0_155
<=> ! [X102,X101,X103] : identity = positive_part(greatest_lower_bound(multiply(negative_part(X102),negative_part(X101)),X103)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f6122,plain,
( spl0_44
<=> ! [X4,X5] : positive_part(X4) = positive_part(least_upper_bound(negative_part(X5),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f15132,plain,
( ! [X101,X102,X103] : identity = positive_part(greatest_lower_bound(multiply(negative_part(X102),negative_part(X101)),X103))
| ~ spl0_44 ),
inference(forward_demodulation,[],[f15125,f1830]) ).
fof(f15125,plain,
( ! [X101,X102,X103] : positive_part(negative_part(X101)) = positive_part(greatest_lower_bound(multiply(negative_part(X102),negative_part(X101)),X103))
| ~ spl0_44 ),
inference(superposition,[],[f6123,f13891]) ).
fof(f13891,plain,
! [X8,X6,X7] : least_upper_bound(X8,greatest_lower_bound(multiply(negative_part(X7),X8),X6)) = X8,
inference(superposition,[],[f13625,f4]) ).
fof(f6123,plain,
( ! [X4,X5] : positive_part(X4) = positive_part(least_upper_bound(negative_part(X5),X4))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f6122]) ).
fof(f14634,plain,
( spl0_145
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14506,f12559,f14552]) ).
fof(f14552,plain,
( spl0_145
<=> ! [X80,X81,X79] : greatest_lower_bound(X79,greatest_lower_bound(X80,positive_part(multiply(positive_part(X81),greatest_lower_bound(X79,X80))))) = greatest_lower_bound(X79,X80) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f12559,plain,
( spl0_93
<=> ! [X6,X7] : greatest_lower_bound(X6,positive_part(multiply(positive_part(X7),X6))) = X6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f14506,plain,
( ! [X10,X8,X9] : greatest_lower_bound(X8,greatest_lower_bound(X9,positive_part(multiply(positive_part(X10),greatest_lower_bound(X8,X9))))) = greatest_lower_bound(X8,X9)
| ~ spl0_93 ),
inference(superposition,[],[f12560,f6]) ).
fof(f12560,plain,
( ! [X6,X7] : greatest_lower_bound(X6,positive_part(multiply(positive_part(X7),X6))) = X6
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f12559]) ).
fof(f14629,plain,
( spl0_154
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14508,f12559,f14627]) ).
fof(f14627,plain,
( spl0_154
<=> ! [X9,X11,X10] : greatest_lower_bound(X9,X11) = greatest_lower_bound(X9,greatest_lower_bound(positive_part(multiply(positive_part(X10),X9)),X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f14508,plain,
( ! [X10,X11,X9] : greatest_lower_bound(X9,X11) = greatest_lower_bound(X9,greatest_lower_bound(positive_part(multiply(positive_part(X10),X9)),X11))
| ~ spl0_93 ),
inference(superposition,[],[f6,f12560]) ).
fof(f14625,plain,
( spl0_149
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14624,f12559,f14588]) ).
fof(f14588,plain,
( spl0_149
<=> ! [X13,X14,X15] : greatest_lower_bound(X14,greatest_lower_bound(X15,positive_part(multiply(positive_part(X13),greatest_lower_bound(X15,X14))))) = greatest_lower_bound(X14,X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f14624,plain,
( ! [X18,X16,X17] : greatest_lower_bound(X17,greatest_lower_bound(X18,positive_part(multiply(positive_part(X16),greatest_lower_bound(X18,X17))))) = greatest_lower_bound(X17,X18)
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14499,f6]) ).
fof(f14499,plain,
( ! [X18,X16,X17] : greatest_lower_bound(X17,X18) = greatest_lower_bound(greatest_lower_bound(X17,X18),positive_part(multiply(positive_part(X16),greatest_lower_bound(X18,X17))))
| ~ spl0_93 ),
inference(superposition,[],[f12560,f1232]) ).
fof(f1232,plain,
! [X6,X4,X5] : multiply(X4,greatest_lower_bound(X6,X5)) = multiply(X4,greatest_lower_bound(X5,X6)),
inference(forward_demodulation,[],[f1223,f13]) ).
fof(f1223,plain,
! [X6,X4,X5] : greatest_lower_bound(multiply(X4,X6),multiply(X4,X5)) = multiply(X4,greatest_lower_bound(X5,X6)),
inference(superposition,[],[f13,f4]) ).
fof(f14622,plain,
( spl0_153
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14618,f12559,f14620]) ).
fof(f14620,plain,
( spl0_153
<=> ! [X82,X83] : greatest_lower_bound(X82,multiply(positive_part(X83),positive_part(X82))) = X82 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f14618,plain,
( ! [X82,X83] : greatest_lower_bound(X82,multiply(positive_part(X83),positive_part(X82))) = X82
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14617,f1863]) ).
fof(f14617,plain,
( ! [X82,X83] : greatest_lower_bound(X82,multiply(positive_part(X83),positive_part(X82))) = greatest_lower_bound(X82,positive_part(X82))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14528,f5105]) ).
fof(f5105,plain,
! [X18,X17] : multiply(positive_part(X17),positive_part(X18)) = positive_part(multiply(positive_part(X17),positive_part(X18))),
inference(forward_demodulation,[],[f5082,f19]) ).
fof(f5082,plain,
! [X18,X17] : multiply(positive_part(X17),positive_part(X18)) = least_upper_bound(multiply(positive_part(X17),positive_part(X18)),identity),
inference(superposition,[],[f1820,f4389]) ).
fof(f4389,plain,
! [X6,X7] : identity = negative_part(multiply(positive_part(X7),positive_part(X6))),
inference(superposition,[],[f4319,f99]) ).
fof(f4319,plain,
! [X16,X15] : identity = negative_part(least_upper_bound(positive_part(X15),X16)),
inference(forward_demodulation,[],[f4281,f1882]) ).
fof(f4281,plain,
! [X16,X15] : negative_part(least_upper_bound(positive_part(X15),X16)) = negative_part(positive_part(X15)),
inference(superposition,[],[f4022,f11]) ).
fof(f4022,plain,
! [X18,X17] : negative_part(greatest_lower_bound(positive_part(X17),X18)) = negative_part(X18),
inference(forward_demodulation,[],[f3956,f20]) ).
fof(f3956,plain,
! [X18,X17] : greatest_lower_bound(X18,identity) = negative_part(greatest_lower_bound(positive_part(X17),X18)),
inference(superposition,[],[f3759,f1882]) ).
fof(f3759,plain,
! [X50,X51] : negative_part(greatest_lower_bound(X51,X50)) = greatest_lower_bound(X50,negative_part(X51)),
inference(forward_demodulation,[],[f3758,f20]) ).
fof(f3758,plain,
! [X50,X51] : greatest_lower_bound(X50,greatest_lower_bound(X51,identity)) = negative_part(greatest_lower_bound(X51,X50)),
inference(forward_demodulation,[],[f3757,f6]) ).
fof(f3757,plain,
! [X50,X51] : greatest_lower_bound(greatest_lower_bound(X50,X51),identity) = negative_part(greatest_lower_bound(X51,X50)),
inference(forward_demodulation,[],[f3704,f2759]) ).
fof(f2759,plain,
! [X22,X23] : negative_part(greatest_lower_bound(X22,X23)) = multiply(greatest_lower_bound(X23,X22),negative_part(inverse(greatest_lower_bound(X22,X23)))),
inference(superposition,[],[f1230,f1071]) ).
fof(f3704,plain,
! [X50,X51] : greatest_lower_bound(greatest_lower_bound(X50,X51),identity) = multiply(greatest_lower_bound(X50,X51),negative_part(inverse(greatest_lower_bound(X51,X50)))),
inference(superposition,[],[f846,f2823]) ).
fof(f1820,plain,
! [X25] : least_upper_bound(X25,negative_part(X25)) = X25,
inference(backward_demodulation,[],[f940,f1819]) ).
fof(f1819,plain,
! [X6,X7] : multiply(positive_part(negative_part(X7)),X6) = X6,
inference(forward_demodulation,[],[f1812,f99]) ).
fof(f1812,plain,
! [X6,X7] : least_upper_bound(X6,multiply(negative_part(X7),X6)) = X6,
inference(superposition,[],[f10,f94]) ).
fof(f940,plain,
! [X25] : least_upper_bound(X25,negative_part(X25)) = multiply(positive_part(negative_part(inverse(X25))),X25),
inference(superposition,[],[f99,f682]) ).
fof(f14528,plain,
( ! [X82,X83] : greatest_lower_bound(X82,positive_part(X82)) = greatest_lower_bound(X82,positive_part(multiply(positive_part(X83),positive_part(X82))))
| ~ spl0_93 ),
inference(superposition,[],[f11258,f12560]) ).
fof(f11258,plain,
! [X31,X30] : greatest_lower_bound(X30,X31) = greatest_lower_bound(X30,greatest_lower_bound(positive_part(X30),X31)),
inference(superposition,[],[f6,f1863]) ).
fof(f14614,plain,
( spl0_141
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14501,f12559,f14532]) ).
fof(f14532,plain,
( spl0_141
<=> ! [X20,X21,X19] : least_upper_bound(X20,X21) = greatest_lower_bound(least_upper_bound(X20,X21),positive_part(multiply(positive_part(X19),least_upper_bound(X21,X20)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f14501,plain,
( ! [X24,X22,X23] : greatest_lower_bound(least_upper_bound(X23,X24),positive_part(multiply(positive_part(X22),least_upper_bound(X24,X23)))) = least_upper_bound(X23,X24)
| ~ spl0_93 ),
inference(superposition,[],[f12560,f1267]) ).
fof(f1267,plain,
! [X8,X9,X7] : multiply(X7,least_upper_bound(X8,X9)) = multiply(X7,least_upper_bound(X9,X8)),
inference(forward_demodulation,[],[f1258,f12]) ).
fof(f1258,plain,
! [X8,X9,X7] : multiply(X7,least_upper_bound(X8,X9)) = least_upper_bound(multiply(X7,X9),multiply(X7,X8)),
inference(superposition,[],[f12,f5]) ).
fof(f14609,plain,
( spl0_152
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14605,f12559,f14607]) ).
fof(f14607,plain,
( spl0_152
<=> ! [X6,X7] : multiply(inverse(positive_part(X6)),X7) = greatest_lower_bound(positive_part(X7),multiply(inverse(positive_part(X6)),X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f14605,plain,
( ! [X6,X7] : multiply(inverse(positive_part(X6)),X7) = greatest_lower_bound(positive_part(X7),multiply(inverse(positive_part(X6)),X7))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14493,f4]) ).
fof(f14493,plain,
( ! [X6,X7] : multiply(inverse(positive_part(X6)),X7) = greatest_lower_bound(multiply(inverse(positive_part(X6)),X7),positive_part(X7))
| ~ spl0_93 ),
inference(superposition,[],[f12560,f688]) ).
fof(f14604,plain,
( spl0_151
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14478,f12559,f14602]) ).
fof(f14602,plain,
( spl0_151
<=> ! [X13,X12] : greatest_lower_bound(X13,positive_part(multiply(inverse(negative_part(X12)),X13))) = X13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f14478,plain,
( ! [X12,X13] : greatest_lower_bound(X13,positive_part(multiply(inverse(negative_part(X12)),X13))) = X13
| ~ spl0_93 ),
inference(superposition,[],[f12560,f1847]) ).
fof(f14598,plain,
( spl0_144
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14597,f12559,f14547]) ).
fof(f14547,plain,
( spl0_144
<=> ! [X45,X44] : identity = negative_part(multiply(inverse(X44),positive_part(multiply(positive_part(X45),X44)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f14597,plain,
( ! [X68,X67] : identity = negative_part(multiply(inverse(X67),positive_part(multiply(positive_part(X68),X67))))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14521,f1914]) ).
fof(f1914,plain,
! [X7] : positive_part(positive_part(X7)) = positive_part(X7),
inference(forward_demodulation,[],[f1913,f786]) ).
fof(f1913,plain,
! [X7] : least_upper_bound(identity,positive_part(X7)) = positive_part(X7),
inference(forward_demodulation,[],[f1909,f5]) ).
fof(f1909,plain,
! [X7] : least_upper_bound(positive_part(X7),identity) = positive_part(X7),
inference(superposition,[],[f1820,f1882]) ).
fof(f14521,plain,
( ! [X68,X67] : identity = negative_part(multiply(inverse(X67),positive_part(positive_part(multiply(positive_part(X68),X67)))))
| ~ spl0_93 ),
inference(superposition,[],[f11900,f12560]) ).
fof(f11900,plain,
! [X2,X1] : identity = negative_part(multiply(inverse(greatest_lower_bound(X2,X1)),positive_part(X1))),
inference(superposition,[],[f11850,f4]) ).
fof(f11850,plain,
! [X41,X42] : identity = negative_part(multiply(inverse(greatest_lower_bound(X41,X42)),positive_part(X41))),
inference(forward_demodulation,[],[f11849,f11285]) ).
fof(f11285,plain,
! [X11,X12,X13] : negative_part(multiply(inverse(greatest_lower_bound(X11,X12)),X13)) = multiply(inverse(greatest_lower_bound(X11,X12)),greatest_lower_bound(X11,greatest_lower_bound(X12,X13))),
inference(superposition,[],[f849,f6]) ).
fof(f849,plain,
! [X6,X7] : negative_part(multiply(inverse(X6),X7)) = multiply(inverse(X6),greatest_lower_bound(X6,X7)),
inference(backward_demodulation,[],[f663,f843]) ).
fof(f663,plain,
! [X6,X7] : greatest_lower_bound(identity,multiply(inverse(X6),X7)) = multiply(inverse(X6),greatest_lower_bound(X6,X7)),
inference(superposition,[],[f13,f2]) ).
fof(f11849,plain,
! [X41,X42] : identity = multiply(inverse(greatest_lower_bound(X41,X42)),greatest_lower_bound(X41,greatest_lower_bound(X42,positive_part(X41)))),
inference(forward_demodulation,[],[f11837,f1232]) ).
fof(f11837,plain,
! [X41,X42] : identity = multiply(inverse(greatest_lower_bound(X41,X42)),greatest_lower_bound(greatest_lower_bound(X42,positive_part(X41)),X41)),
inference(superposition,[],[f2968,f11371]) ).
fof(f11371,plain,
! [X2,X1] : greatest_lower_bound(X1,X2) = greatest_lower_bound(X1,greatest_lower_bound(X2,positive_part(X1))),
inference(superposition,[],[f11258,f4]) ).
fof(f2968,plain,
! [X73,X74] : identity = multiply(inverse(greatest_lower_bound(X73,X74)),greatest_lower_bound(X74,X73)),
inference(superposition,[],[f2,f1232]) ).
fof(f14596,plain,
( spl0_150
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14592,f12559,f14594]) ).
fof(f14594,plain,
( spl0_150
<=> ! [X73,X74] : identity = negative_part(multiply(positive_part(multiply(positive_part(X74),inverse(X73))),X73)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f14592,plain,
( ! [X73,X74] : identity = negative_part(multiply(positive_part(multiply(positive_part(X74),inverse(X73))),X73))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14524,f2]) ).
fof(f14524,plain,
( ! [X73,X74] : negative_part(multiply(positive_part(multiply(positive_part(X74),inverse(X73))),X73)) = multiply(inverse(X73),X73)
| ~ spl0_93 ),
inference(superposition,[],[f847,f12560]) ).
fof(f14590,plain,
( spl0_149
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14586,f12559,f14588]) ).
fof(f14586,plain,
( ! [X14,X15,X13] : greatest_lower_bound(X14,greatest_lower_bound(X15,positive_part(multiply(positive_part(X13),greatest_lower_bound(X15,X14))))) = greatest_lower_bound(X14,X15)
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14498,f6]) ).
fof(f14498,plain,
( ! [X14,X15,X13] : greatest_lower_bound(greatest_lower_bound(X14,X15),positive_part(multiply(positive_part(X13),greatest_lower_bound(X15,X14)))) = greatest_lower_bound(X14,X15)
| ~ spl0_93 ),
inference(superposition,[],[f12560,f1232]) ).
fof(f14581,plain,
( spl0_148
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14577,f12559,f14579]) ).
fof(f14579,plain,
( spl0_148
<=> ! [X43,X42] : identity = inverse(negative_part(multiply(inverse(X42),positive_part(multiply(positive_part(X43),X42))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f14577,plain,
( ! [X42,X43] : identity = inverse(negative_part(multiply(inverse(X42),positive_part(multiply(positive_part(X43),X42)))))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14514,f8576]) ).
fof(f8576,plain,
! [X8,X7] : inverse(negative_part(multiply(inverse(X7),X8))) = multiply(inverse(greatest_lower_bound(X8,X7)),X7),
inference(superposition,[],[f8457,f850]) ).
fof(f850,plain,
! [X8,X9] : multiply(inverse(X8),greatest_lower_bound(X9,X8)) = negative_part(multiply(inverse(X8),X9)),
inference(backward_demodulation,[],[f681,f843]) ).
fof(f681,plain,
! [X8,X9] : multiply(inverse(X8),greatest_lower_bound(X9,X8)) = greatest_lower_bound(identity,multiply(inverse(X8),X9)),
inference(forward_demodulation,[],[f664,f4]) ).
fof(f664,plain,
! [X8,X9] : multiply(inverse(X8),greatest_lower_bound(X9,X8)) = greatest_lower_bound(multiply(inverse(X8),X9),identity),
inference(superposition,[],[f13,f2]) ).
fof(f14514,plain,
( ! [X42,X43] : identity = multiply(inverse(greatest_lower_bound(positive_part(multiply(positive_part(X43),X42)),X42)),X42)
| ~ spl0_93 ),
inference(superposition,[],[f2968,f12560]) ).
fof(f14569,plain,
( spl0_147
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14565,f12559,f14567]) ).
fof(f14567,plain,
( spl0_147
<=> ! [X34,X35] : identity = negative_part(multiply(positive_part(multiply(positive_part(X35),X34)),inverse(X34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f14565,plain,
( ! [X34,X35] : identity = negative_part(multiply(positive_part(multiply(positive_part(X35),X34)),inverse(X34)))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14512,f1066]) ).
fof(f14512,plain,
( ! [X34,X35] : identity = multiply(greatest_lower_bound(positive_part(multiply(positive_part(X35),X34)),X34),inverse(X34))
| ~ spl0_93 ),
inference(superposition,[],[f2823,f12560]) ).
fof(f14564,plain,
( spl0_146
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14560,f12559,f14562]) ).
fof(f14562,plain,
( spl0_146
<=> ! [X9,X10] : greatest_lower_bound(positive_part(inverse(X10)),inverse(multiply(X10,positive_part(X9)))) = inverse(multiply(X10,positive_part(X9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f14560,plain,
( ! [X10,X9] : greatest_lower_bound(positive_part(inverse(X10)),inverse(multiply(X10,positive_part(X9)))) = inverse(multiply(X10,positive_part(X9)))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14495,f4]) ).
fof(f14495,plain,
( ! [X10,X9] : greatest_lower_bound(inverse(multiply(X10,positive_part(X9))),positive_part(inverse(X10))) = inverse(multiply(X10,positive_part(X9)))
| ~ spl0_93 ),
inference(superposition,[],[f12560,f1508]) ).
fof(f14557,plain,
( spl0_144
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14556,f12559,f14547]) ).
fof(f14556,plain,
( ! [X14,X15] : identity = negative_part(multiply(inverse(X14),positive_part(multiply(positive_part(X15),X14))))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14510,f2]) ).
fof(f14510,plain,
( ! [X14,X15] : negative_part(multiply(inverse(X14),positive_part(multiply(positive_part(X15),X14)))) = multiply(inverse(X14),X14)
| ~ spl0_93 ),
inference(superposition,[],[f849,f12560]) ).
fof(f14554,plain,
( spl0_145
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14527,f12559,f14552]) ).
fof(f14527,plain,
( ! [X80,X81,X79] : greatest_lower_bound(X79,greatest_lower_bound(X80,positive_part(multiply(positive_part(X81),greatest_lower_bound(X79,X80))))) = greatest_lower_bound(X79,X80)
| ~ spl0_93 ),
inference(superposition,[],[f6,f12560]) ).
fof(f14549,plain,
( spl0_144
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14545,f12559,f14547]) ).
fof(f14545,plain,
( ! [X44,X45] : identity = negative_part(multiply(inverse(X44),positive_part(multiply(positive_part(X45),X44))))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14515,f850]) ).
fof(f14515,plain,
( ! [X44,X45] : identity = multiply(inverse(X44),greatest_lower_bound(positive_part(multiply(positive_part(X45),X44)),X44))
| ~ spl0_93 ),
inference(superposition,[],[f2968,f12560]) ).
fof(f14544,plain,
( spl0_143
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14540,f12559,f14542]) ).
fof(f14542,plain,
( spl0_143
<=> ! [X36,X37] : identity = inverse(negative_part(multiply(positive_part(multiply(positive_part(X37),X36)),inverse(X36)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f14540,plain,
( ! [X36,X37] : identity = inverse(negative_part(multiply(positive_part(multiply(positive_part(X37),X36)),inverse(X36))))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14513,f5342]) ).
fof(f14513,plain,
( ! [X36,X37] : identity = multiply(X36,inverse(greatest_lower_bound(positive_part(multiply(positive_part(X37),X36)),X36)))
| ~ spl0_93 ),
inference(superposition,[],[f2823,f12560]) ).
fof(f14539,plain,
( spl0_142
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14535,f12559,f14537]) ).
fof(f14537,plain,
( spl0_142
<=> ! [X57,X56] : positive_part(multiply(positive_part(X57),X56)) = least_upper_bound(negative_part(X56),positive_part(multiply(positive_part(X57),X56))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f14535,plain,
( ! [X56,X57] : positive_part(multiply(positive_part(X57),X56)) = least_upper_bound(negative_part(X56),positive_part(multiply(positive_part(X57),X56)))
| ~ spl0_93 ),
inference(forward_demodulation,[],[f14516,f5]) ).
fof(f14516,plain,
( ! [X56,X57] : positive_part(multiply(positive_part(X57),X56)) = least_upper_bound(positive_part(multiply(positive_part(X57),X56)),negative_part(X56))
| ~ spl0_93 ),
inference(superposition,[],[f3965,f12560]) ).
fof(f3965,plain,
! [X6,X5] : least_upper_bound(X5,negative_part(greatest_lower_bound(X6,X5))) = X5,
inference(superposition,[],[f10,f3759]) ).
fof(f14534,plain,
( spl0_141
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f14500,f12559,f14532]) ).
fof(f14500,plain,
( ! [X21,X19,X20] : least_upper_bound(X20,X21) = greatest_lower_bound(least_upper_bound(X20,X21),positive_part(multiply(positive_part(X19),least_upper_bound(X21,X20))))
| ~ spl0_93 ),
inference(superposition,[],[f12560,f1267]) ).
fof(f14470,plain,
( spl0_140
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14324,f12544,f14468]) ).
fof(f14468,plain,
( spl0_140
<=> ! [X4,X2,X3] : multiply(X2,X3) = greatest_lower_bound(multiply(X2,X3),positive_part(multiply(X2,multiply(X3,positive_part(X4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f12544,plain,
( spl0_90
<=> ! [X9,X8] : greatest_lower_bound(X8,positive_part(multiply(X8,positive_part(X9)))) = X8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f14324,plain,
( ! [X2,X3,X4] : multiply(X2,X3) = greatest_lower_bound(multiply(X2,X3),positive_part(multiply(X2,multiply(X3,positive_part(X4)))))
| ~ spl0_90 ),
inference(superposition,[],[f12545,f3]) ).
fof(f12545,plain,
( ! [X8,X9] : greatest_lower_bound(X8,positive_part(multiply(X8,positive_part(X9)))) = X8
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f12544]) ).
fof(f14466,plain,
( spl0_139
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14462,f12544,f14464]) ).
fof(f14464,plain,
( spl0_139
<=> ! [X34,X33] : identity = negative_part(multiply(positive_part(multiply(X33,positive_part(X34))),inverse(X33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f14462,plain,
( ! [X34,X33] : identity = negative_part(multiply(positive_part(multiply(X33,positive_part(X34))),inverse(X33)))
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14348,f1066]) ).
fof(f14348,plain,
( ! [X34,X33] : identity = multiply(greatest_lower_bound(positive_part(multiply(X33,positive_part(X34))),X33),inverse(X33))
| ~ spl0_90 ),
inference(superposition,[],[f2823,f12545]) ).
fof(f14454,plain,
( spl0_138
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14450,f12544,f14452]) ).
fof(f14452,plain,
( spl0_138
<=> ! [X8,X7] : inverse(multiply(positive_part(X7),X8)) = greatest_lower_bound(positive_part(inverse(X8)),inverse(multiply(positive_part(X7),X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f14450,plain,
( ! [X8,X7] : inverse(multiply(positive_part(X7),X8)) = greatest_lower_bound(positive_part(inverse(X8)),inverse(multiply(positive_part(X7),X8)))
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14327,f4]) ).
fof(f14327,plain,
( ! [X8,X7] : greatest_lower_bound(inverse(multiply(positive_part(X7),X8)),positive_part(inverse(X8))) = inverse(multiply(positive_part(X7),X8))
| ~ spl0_90 ),
inference(superposition,[],[f12545,f8642]) ).
fof(f14449,plain,
( spl0_128
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14342,f12544,f14378]) ).
fof(f14378,plain,
( spl0_128
<=> ! [X80,X78,X79] : greatest_lower_bound(X78,greatest_lower_bound(X79,positive_part(multiply(greatest_lower_bound(X78,X79),positive_part(X80))))) = greatest_lower_bound(X78,X79) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f14342,plain,
( ! [X8,X9,X7] : greatest_lower_bound(X7,X8) = greatest_lower_bound(X7,greatest_lower_bound(X8,positive_part(multiply(greatest_lower_bound(X7,X8),positive_part(X9)))))
| ~ spl0_90 ),
inference(superposition,[],[f12545,f6]) ).
fof(f14445,plain,
( spl0_137
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14441,f12544,f14443]) ).
fof(f14443,plain,
( spl0_137
<=> ! [X29,X30] : least_upper_bound(X29,positive_part(multiply(X29,positive_part(X30)))) = positive_part(multiply(X29,positive_part(X30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f14441,plain,
( ! [X29,X30] : least_upper_bound(X29,positive_part(multiply(X29,positive_part(X30)))) = positive_part(multiply(X29,positive_part(X30)))
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14347,f5]) ).
fof(f14347,plain,
( ! [X29,X30] : least_upper_bound(positive_part(multiply(X29,positive_part(X30))),X29) = positive_part(multiply(X29,positive_part(X30)))
| ~ spl0_90 ),
inference(superposition,[],[f1809,f12545]) ).
fof(f14438,plain,
( spl0_136
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14434,f12544,f14436]) ).
fof(f14436,plain,
( spl0_136
<=> ! [X55,X56] : positive_part(multiply(X55,positive_part(X56))) = least_upper_bound(negative_part(X55),positive_part(multiply(X55,positive_part(X56)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f14434,plain,
( ! [X56,X55] : positive_part(multiply(X55,positive_part(X56))) = least_upper_bound(negative_part(X55),positive_part(multiply(X55,positive_part(X56))))
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14352,f5]) ).
fof(f14352,plain,
( ! [X56,X55] : positive_part(multiply(X55,positive_part(X56))) = least_upper_bound(positive_part(multiply(X55,positive_part(X56))),negative_part(X55))
| ~ spl0_90 ),
inference(superposition,[],[f3965,f12545]) ).
fof(f14433,plain,
( spl0_135
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14429,f12544,f14431]) ).
fof(f14431,plain,
( spl0_135
<=> ! [X36,X35] : identity = inverse(negative_part(multiply(positive_part(multiply(X35,positive_part(X36))),inverse(X35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f14429,plain,
( ! [X36,X35] : identity = inverse(negative_part(multiply(positive_part(multiply(X35,positive_part(X36))),inverse(X35))))
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14349,f5342]) ).
fof(f14349,plain,
( ! [X36,X35] : identity = multiply(X35,inverse(greatest_lower_bound(positive_part(multiply(X35,positive_part(X36))),X35)))
| ~ spl0_90 ),
inference(superposition,[],[f2823,f12545]) ).
fof(f14422,plain,
( spl0_132
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14334,f12544,f14401]) ).
fof(f14401,plain,
( spl0_132
<=> ! [X32,X30,X31] : greatest_lower_bound(least_upper_bound(X30,X31),positive_part(multiply(least_upper_bound(X31,X30),positive_part(X32)))) = least_upper_bound(X30,X31) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f14334,plain,
( ! [X28,X29,X27] : least_upper_bound(X27,X28) = greatest_lower_bound(least_upper_bound(X27,X28),positive_part(multiply(least_upper_bound(X28,X27),positive_part(X29))))
| ~ spl0_90 ),
inference(superposition,[],[f12545,f1265]) ).
fof(f14416,plain,
( spl0_134
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14344,f12544,f14414]) ).
fof(f14414,plain,
( spl0_134
<=> ! [X9,X8,X10] : greatest_lower_bound(X8,greatest_lower_bound(positive_part(multiply(X8,positive_part(X9))),X10)) = greatest_lower_bound(X8,X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f14344,plain,
( ! [X10,X8,X9] : greatest_lower_bound(X8,greatest_lower_bound(positive_part(multiply(X8,positive_part(X9))),X10)) = greatest_lower_bound(X8,X10)
| ~ spl0_90 ),
inference(superposition,[],[f6,f12545]) ).
fof(f14412,plain,
( spl0_133
| ~ spl0_5
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14408,f12544,f4426,f14410]) ).
fof(f14410,plain,
( spl0_133
<=> ! [X61,X62,X63] : positive_part(multiply(X61,positive_part(X62))) = positive_part(least_upper_bound(multiply(X61,positive_part(X62)),greatest_lower_bound(X63,X61))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f14408,plain,
( ! [X62,X63,X61] : positive_part(multiply(X61,positive_part(X62))) = positive_part(least_upper_bound(multiply(X61,positive_part(X62)),greatest_lower_bound(X63,X61)))
| ~ spl0_5
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14355,f4427]) ).
fof(f14355,plain,
( ! [X62,X63,X61] : least_upper_bound(positive_part(multiply(X61,positive_part(X62))),greatest_lower_bound(X63,X61)) = positive_part(multiply(X61,positive_part(X62)))
| ~ spl0_90 ),
inference(superposition,[],[f11291,f12545]) ).
fof(f14403,plain,
( spl0_132
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14335,f12544,f14401]) ).
fof(f14335,plain,
( ! [X31,X32,X30] : greatest_lower_bound(least_upper_bound(X30,X31),positive_part(multiply(least_upper_bound(X31,X30),positive_part(X32)))) = least_upper_bound(X30,X31)
| ~ spl0_90 ),
inference(superposition,[],[f12545,f1265]) ).
fof(f14399,plain,
( spl0_131
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14395,f12544,f14397]) ).
fof(f14395,plain,
( ! [X82,X81] : greatest_lower_bound(X81,multiply(positive_part(X81),positive_part(X82))) = X81
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14394,f5105]) ).
fof(f14394,plain,
( ! [X82,X81] : greatest_lower_bound(X81,positive_part(multiply(positive_part(X81),positive_part(X82)))) = X81
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14364,f1863]) ).
fof(f14364,plain,
( ! [X82,X81] : greatest_lower_bound(X81,positive_part(multiply(positive_part(X81),positive_part(X82)))) = greatest_lower_bound(X81,positive_part(X81))
| ~ spl0_90 ),
inference(superposition,[],[f11258,f12545]) ).
fof(f14393,plain,
( spl0_130
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14392,f12544,f14389]) ).
fof(f14389,plain,
( spl0_130
<=> ! [X18,X17,X19] : greatest_lower_bound(X17,X18) = greatest_lower_bound(X17,greatest_lower_bound(X18,positive_part(multiply(greatest_lower_bound(X18,X17),positive_part(X19))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f14392,plain,
( ! [X21,X22,X20] : greatest_lower_bound(X20,greatest_lower_bound(X21,positive_part(multiply(greatest_lower_bound(X21,X20),positive_part(X22))))) = greatest_lower_bound(X20,X21)
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14333,f6]) ).
fof(f14333,plain,
( ! [X21,X22,X20] : greatest_lower_bound(X20,X21) = greatest_lower_bound(greatest_lower_bound(X20,X21),positive_part(multiply(greatest_lower_bound(X21,X20),positive_part(X22))))
| ~ spl0_90 ),
inference(superposition,[],[f12545,f1230]) ).
fof(f14391,plain,
( spl0_130
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14387,f12544,f14389]) ).
fof(f14387,plain,
( ! [X18,X19,X17] : greatest_lower_bound(X17,X18) = greatest_lower_bound(X17,greatest_lower_bound(X18,positive_part(multiply(greatest_lower_bound(X18,X17),positive_part(X19)))))
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14332,f6]) ).
fof(f14332,plain,
( ! [X18,X19,X17] : greatest_lower_bound(X17,X18) = greatest_lower_bound(greatest_lower_bound(X17,X18),positive_part(multiply(greatest_lower_bound(X18,X17),positive_part(X19))))
| ~ spl0_90 ),
inference(superposition,[],[f12545,f1230]) ).
fof(f14386,plain,
( spl0_129
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14313,f12544,f14384]) ).
fof(f14384,plain,
( spl0_129
<=> ! [X13,X12] : greatest_lower_bound(X13,positive_part(multiply(X13,inverse(negative_part(X12))))) = X13 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f14313,plain,
( ! [X12,X13] : greatest_lower_bound(X13,positive_part(multiply(X13,inverse(negative_part(X12))))) = X13
| ~ spl0_90 ),
inference(superposition,[],[f12545,f1847]) ).
fof(f14380,plain,
( spl0_128
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14363,f12544,f14378]) ).
fof(f14363,plain,
( ! [X80,X78,X79] : greatest_lower_bound(X78,greatest_lower_bound(X79,positive_part(multiply(greatest_lower_bound(X78,X79),positive_part(X80))))) = greatest_lower_bound(X78,X79)
| ~ spl0_90 ),
inference(superposition,[],[f6,f12545]) ).
fof(f14371,plain,
( spl0_127
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f14367,f12544,f14369]) ).
fof(f14369,plain,
( spl0_127
<=> ! [X73,X72] : identity = negative_part(multiply(positive_part(multiply(inverse(X72),positive_part(X73))),X72)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f14367,plain,
( ! [X72,X73] : identity = negative_part(multiply(positive_part(multiply(inverse(X72),positive_part(X73))),X72))
| ~ spl0_90 ),
inference(forward_demodulation,[],[f14360,f2]) ).
fof(f14360,plain,
( ! [X72,X73] : negative_part(multiply(positive_part(multiply(inverse(X72),positive_part(X73))),X72)) = multiply(inverse(X72),X72)
| ~ spl0_90 ),
inference(superposition,[],[f847,f12545]) ).
fof(f14282,plain,
( spl0_126
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f14145,f14065,f14280]) ).
fof(f14280,plain,
( spl0_126
<=> ! [X32,X31] : identity = positive_part(multiply(inverse(positive_part(X31)),negative_part(X32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f14065,plain,
( spl0_120
<=> ! [X62,X63] : identity = positive_part(multiply(negative_part(X63),negative_part(X62))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f14145,plain,
( ! [X31,X32] : identity = positive_part(multiply(inverse(positive_part(X31)),negative_part(X32)))
| ~ spl0_120 ),
inference(superposition,[],[f14066,f1928]) ).
fof(f14066,plain,
( ! [X62,X63] : identity = positive_part(multiply(negative_part(X63),negative_part(X62)))
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f14065]) ).
fof(f14272,plain,
( spl0_125
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f14171,f14065,f14270]) ).
fof(f14270,plain,
( spl0_125
<=> ! [X32,X31] : identity = positive_part(multiply(negative_part(X32),inverse(positive_part(X31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f14171,plain,
( ! [X31,X32] : identity = positive_part(multiply(negative_part(X32),inverse(positive_part(X31))))
| ~ spl0_120 ),
inference(superposition,[],[f14066,f1928]) ).
fof(f14265,plain,
( spl0_124
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f14261,f14065,f14263]) ).
fof(f14263,plain,
( spl0_124
<=> ! [X73,X72,X74] : identity = negative_part(inverse(greatest_lower_bound(multiply(negative_part(X72),negative_part(X73)),X74))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f14261,plain,
( ! [X72,X73,X74] : identity = negative_part(inverse(greatest_lower_bound(multiply(negative_part(X72),negative_part(X73)),X74)))
| ~ spl0_120 ),
inference(forward_demodulation,[],[f14215,f726]) ).
fof(f14215,plain,
( ! [X72,X73,X74] : identity = negative_part(multiply(inverse(greatest_lower_bound(multiply(negative_part(X72),negative_part(X73)),X74)),identity))
| ~ spl0_120 ),
inference(superposition,[],[f11850,f14066]) ).
fof(f14236,plain,
( spl0_123
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f14232,f14065,f14234]) ).
fof(f14234,plain,
( spl0_123
<=> ! [X77,X75,X76] : identity = negative_part(inverse(greatest_lower_bound(X77,multiply(negative_part(X75),negative_part(X76))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f14232,plain,
( ! [X76,X77,X75] : identity = negative_part(inverse(greatest_lower_bound(X77,multiply(negative_part(X75),negative_part(X76)))))
| ~ spl0_120 ),
inference(forward_demodulation,[],[f14216,f726]) ).
fof(f14216,plain,
( ! [X76,X77,X75] : identity = negative_part(multiply(inverse(greatest_lower_bound(X77,multiply(negative_part(X75),negative_part(X76)))),identity))
| ~ spl0_120 ),
inference(superposition,[],[f11900,f14066]) ).
fof(f14231,plain,
( spl0_122
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f14227,f14065,f14229]) ).
fof(f14229,plain,
( spl0_122
<=> ! [X70,X69,X71] : greatest_lower_bound(multiply(negative_part(X69),negative_part(X70)),positive_part(X71)) = multiply(negative_part(X69),negative_part(X70)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f14227,plain,
( ! [X70,X71,X69] : greatest_lower_bound(multiply(negative_part(X69),negative_part(X70)),positive_part(X71)) = multiply(negative_part(X69),negative_part(X70))
| ~ spl0_120 ),
inference(forward_demodulation,[],[f14214,f19]) ).
fof(f14214,plain,
( ! [X70,X71,X69] : greatest_lower_bound(multiply(negative_part(X69),negative_part(X70)),least_upper_bound(X71,identity)) = multiply(negative_part(X69),negative_part(X70))
| ~ spl0_120 ),
inference(superposition,[],[f11448,f14066]) ).
fof(f11448,plain,
! [X19,X20] : greatest_lower_bound(X19,least_upper_bound(X20,positive_part(X19))) = X19,
inference(forward_demodulation,[],[f11380,f1863]) ).
fof(f11380,plain,
! [X19,X20] : greatest_lower_bound(X19,positive_part(X19)) = greatest_lower_bound(X19,least_upper_bound(X20,positive_part(X19))),
inference(superposition,[],[f11258,f1861]) ).
fof(f14096,plain,
spl0_120,
inference(avatar_split_clause,[],[f14095,f14065]) ).
fof(f14095,plain,
! [X58,X59] : identity = positive_part(multiply(negative_part(X59),negative_part(X58))),
inference(forward_demodulation,[],[f14094,f682]) ).
fof(f14094,plain,
! [X58,X59] : identity = positive_part(multiply(negative_part(X59),multiply(negative_part(inverse(X58)),X58))),
inference(forward_demodulation,[],[f14093,f2]) ).
fof(f14093,plain,
! [X58,X59] : positive_part(multiply(negative_part(X59),multiply(negative_part(inverse(X58)),X58))) = multiply(inverse(X58),X58),
inference(forward_demodulation,[],[f14059,f3]) ).
fof(f14059,plain,
! [X58,X59] : multiply(inverse(X58),X58) = positive_part(multiply(multiply(negative_part(X59),negative_part(inverse(X58))),X58)),
inference(superposition,[],[f790,f13889]) ).
fof(f13889,plain,
! [X2,X3] : least_upper_bound(X3,multiply(negative_part(X2),negative_part(X3))) = X3,
inference(superposition,[],[f13625,f846]) ).
fof(f790,plain,
! [X10,X11] : positive_part(multiply(X11,X10)) = multiply(least_upper_bound(inverse(X10),X11),X10),
inference(backward_demodulation,[],[f665,f786]) ).
fof(f14074,plain,
( spl0_121
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f14070,f12498,f14072]) ).
fof(f14072,plain,
( spl0_121
<=> ! [X54,X53] : multiply(negative_part(X54),negative_part(X53)) = greatest_lower_bound(positive_part(X53),multiply(negative_part(X54),negative_part(X53))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f12498,plain,
( spl0_84
<=> ! [X0,X1] : greatest_lower_bound(X0,positive_part(least_upper_bound(X1,X0))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f14070,plain,
( ! [X54,X53] : multiply(negative_part(X54),negative_part(X53)) = greatest_lower_bound(positive_part(X53),multiply(negative_part(X54),negative_part(X53)))
| ~ spl0_84 ),
inference(forward_demodulation,[],[f14056,f4]) ).
fof(f14056,plain,
( ! [X54,X53] : greatest_lower_bound(multiply(negative_part(X54),negative_part(X53)),positive_part(X53)) = multiply(negative_part(X54),negative_part(X53))
| ~ spl0_84 ),
inference(superposition,[],[f12499,f13889]) ).
fof(f12499,plain,
( ! [X0,X1] : greatest_lower_bound(X0,positive_part(least_upper_bound(X1,X0))) = X0
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f12498]) ).
fof(f14067,plain,
( spl0_120
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f14063,f6122,f14065]) ).
fof(f14063,plain,
( ! [X62,X63] : identity = positive_part(multiply(negative_part(X63),negative_part(X62)))
| ~ spl0_44 ),
inference(forward_demodulation,[],[f14062,f1940]) ).
fof(f14062,plain,
( ! [X62,X63] : identity = positive_part(multiply(negative_part(X63),negative_part(negative_part(X62))))
| ~ spl0_44 ),
inference(forward_demodulation,[],[f14061,f1830]) ).
fof(f14061,plain,
( ! [X62,X63] : positive_part(multiply(negative_part(X63),negative_part(negative_part(X62)))) = positive_part(negative_part(X62))
| ~ spl0_44 ),
inference(superposition,[],[f6123,f13889]) ).
fof(f13984,plain,
( spl0_119
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13980,f12498,f13982]) ).
fof(f13982,plain,
( spl0_119
<=> ! [X80,X78,X79] : greatest_lower_bound(X79,greatest_lower_bound(positive_part(X78),multiply(negative_part(X80),X78))) = greatest_lower_bound(X79,multiply(negative_part(X80),X78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f13980,plain,
( ! [X80,X78,X79] : greatest_lower_bound(X79,greatest_lower_bound(positive_part(X78),multiply(negative_part(X80),X78))) = greatest_lower_bound(X79,multiply(negative_part(X80),X78))
| ~ spl0_84 ),
inference(forward_demodulation,[],[f13979,f4]) ).
fof(f13979,plain,
( ! [X80,X78,X79] : greatest_lower_bound(X79,greatest_lower_bound(multiply(negative_part(X80),X78),positive_part(X78))) = greatest_lower_bound(X79,multiply(negative_part(X80),X78))
| ~ spl0_84 ),
inference(forward_demodulation,[],[f13909,f6]) ).
fof(f13909,plain,
( ! [X80,X78,X79] : greatest_lower_bound(X79,multiply(negative_part(X80),X78)) = greatest_lower_bound(greatest_lower_bound(X79,multiply(negative_part(X80),X78)),positive_part(X78))
| ~ spl0_84 ),
inference(superposition,[],[f12499,f13625]) ).
fof(f13939,plain,
( spl0_118
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f13935,f6122,f13937]) ).
fof(f13937,plain,
( spl0_118
<=> ! [X89,X91,X90] : identity = positive_part(greatest_lower_bound(X90,multiply(negative_part(X91),negative_part(X89)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f13935,plain,
( ! [X90,X91,X89] : identity = positive_part(greatest_lower_bound(X90,multiply(negative_part(X91),negative_part(X89))))
| ~ spl0_44 ),
inference(forward_demodulation,[],[f13913,f1830]) ).
fof(f13913,plain,
( ! [X90,X91,X89] : positive_part(negative_part(X89)) = positive_part(greatest_lower_bound(X90,multiply(negative_part(X91),negative_part(X89))))
| ~ spl0_44 ),
inference(superposition,[],[f6123,f13625]) ).
fof(f13836,plain,
( spl0_117
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13726,f12498,f13834]) ).
fof(f13834,plain,
( spl0_117
<=> ! [X48,X47,X49,X46] : greatest_lower_bound(multiply(X49,X48),positive_part(multiply(least_upper_bound(multiply(X46,X47),X49),X48))) = multiply(X49,X48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f13726,plain,
( ! [X48,X46,X49,X47] : greatest_lower_bound(multiply(X49,X48),positive_part(multiply(least_upper_bound(multiply(X46,X47),X49),X48))) = multiply(X49,X48)
| ~ spl0_84 ),
inference(superposition,[],[f12499,f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1] : multiply(least_upper_bound(multiply(X0,X1),X3),X2) = least_upper_bound(multiply(X0,multiply(X1,X2)),multiply(X3,X2)),
inference(superposition,[],[f14,f3]) ).
fof(f13831,plain,
( spl0_116
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13709,f12498,f13829]) ).
fof(f13829,plain,
( spl0_116
<=> ! [X9,X8] : greatest_lower_bound(multiply(X8,X9),positive_part(multiply(X8,positive_part(X9)))) = multiply(X8,X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f13709,plain,
( ! [X8,X9] : greatest_lower_bound(multiply(X8,X9),positive_part(multiply(X8,positive_part(X9)))) = multiply(X8,X9)
| ~ spl0_84 ),
inference(superposition,[],[f12499,f836]) ).
fof(f13826,plain,
( spl0_115
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13724,f12498,f13824]) ).
fof(f13824,plain,
( spl0_115
<=> ! [X38,X36,X37] : greatest_lower_bound(multiply(X36,X38),positive_part(multiply(X36,least_upper_bound(X37,X38)))) = multiply(X36,X38) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f13724,plain,
( ! [X38,X36,X37] : greatest_lower_bound(multiply(X36,X38),positive_part(multiply(X36,least_upper_bound(X37,X38)))) = multiply(X36,X38)
| ~ spl0_84 ),
inference(superposition,[],[f12499,f12]) ).
fof(f13819,plain,
( spl0_111
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13738,f12498,f13795]) ).
fof(f13795,plain,
( spl0_111
<=> ! [X80,X81,X79] : greatest_lower_bound(X79,greatest_lower_bound(X80,positive_part(least_upper_bound(X81,greatest_lower_bound(X79,X80))))) = greatest_lower_bound(X79,X80) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f13738,plain,
( ! [X10,X8,X9] : greatest_lower_bound(X8,greatest_lower_bound(X9,positive_part(least_upper_bound(X10,greatest_lower_bound(X8,X9))))) = greatest_lower_bound(X8,X9)
| ~ spl0_84 ),
inference(superposition,[],[f12499,f6]) ).
fof(f13815,plain,
( spl0_114
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13725,f12498,f13813]) ).
fof(f13813,plain,
( spl0_114
<=> ! [X41,X40,X39] : multiply(X41,X40) = greatest_lower_bound(multiply(X41,X40),positive_part(multiply(least_upper_bound(X39,X41),X40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f13725,plain,
( ! [X40,X41,X39] : multiply(X41,X40) = greatest_lower_bound(multiply(X41,X40),positive_part(multiply(least_upper_bound(X39,X41),X40)))
| ~ spl0_84 ),
inference(superposition,[],[f12499,f14]) ).
fof(f13808,plain,
( spl0_113
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13743,f12498,f13806]) ).
fof(f13806,plain,
( spl0_113
<=> ! [X16,X17] : negative_part(multiply(inverse(positive_part(least_upper_bound(X17,X16))),X16)) = multiply(inverse(positive_part(least_upper_bound(X17,X16))),X16) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f13743,plain,
( ! [X16,X17] : negative_part(multiply(inverse(positive_part(least_upper_bound(X17,X16))),X16)) = multiply(inverse(positive_part(least_upper_bound(X17,X16))),X16)
| ~ spl0_84 ),
inference(superposition,[],[f850,f12499]) ).
fof(f13803,plain,
( spl0_112
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13708,f12498,f13801]) ).
fof(f13801,plain,
( spl0_112
<=> ! [X6,X7] : multiply(X7,X6) = greatest_lower_bound(multiply(X7,X6),positive_part(multiply(positive_part(X7),X6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f13708,plain,
( ! [X6,X7] : multiply(X7,X6) = greatest_lower_bound(multiply(X7,X6),positive_part(multiply(positive_part(X7),X6)))
| ~ spl0_84 ),
inference(superposition,[],[f12499,f99]) ).
fof(f13797,plain,
( spl0_111
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13760,f12498,f13795]) ).
fof(f13760,plain,
( ! [X80,X81,X79] : greatest_lower_bound(X79,greatest_lower_bound(X80,positive_part(least_upper_bound(X81,greatest_lower_bound(X79,X80))))) = greatest_lower_bound(X79,X80)
| ~ spl0_84 ),
inference(superposition,[],[f6,f12499]) ).
fof(f13790,plain,
( spl0_110
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13786,f12498,f13788]) ).
fof(f13788,plain,
( spl0_110
<=> ! [X34,X35] : identity = negative_part(multiply(positive_part(least_upper_bound(X35,X34)),inverse(X34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f13786,plain,
( ! [X34,X35] : identity = negative_part(multiply(positive_part(least_upper_bound(X35,X34)),inverse(X34)))
| ~ spl0_84 ),
inference(forward_demodulation,[],[f13745,f1066]) ).
fof(f13745,plain,
( ! [X34,X35] : identity = multiply(greatest_lower_bound(positive_part(least_upper_bound(X35,X34)),X34),inverse(X34))
| ~ spl0_84 ),
inference(superposition,[],[f2823,f12499]) ).
fof(f13783,plain,
( spl0_109
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13740,f12498,f13781]) ).
fof(f13781,plain,
( spl0_109
<=> ! [X9,X11,X10] : greatest_lower_bound(X9,X11) = greatest_lower_bound(X9,greatest_lower_bound(positive_part(least_upper_bound(X10,X9)),X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f13740,plain,
( ! [X10,X11,X9] : greatest_lower_bound(X9,X11) = greatest_lower_bound(X9,greatest_lower_bound(positive_part(least_upper_bound(X10,X9)),X11))
| ~ spl0_84 ),
inference(superposition,[],[f6,f12499]) ).
fof(f13778,plain,
( spl0_108
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13774,f12498,f13776]) ).
fof(f13776,plain,
( spl0_108
<=> ! [X57,X56] : least_upper_bound(negative_part(X56),positive_part(least_upper_bound(X57,X56))) = positive_part(least_upper_bound(X57,X56)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f13774,plain,
( ! [X56,X57] : least_upper_bound(negative_part(X56),positive_part(least_upper_bound(X57,X56))) = positive_part(least_upper_bound(X57,X56))
| ~ spl0_84 ),
inference(forward_demodulation,[],[f13749,f5]) ).
fof(f13749,plain,
( ! [X56,X57] : least_upper_bound(positive_part(least_upper_bound(X57,X56)),negative_part(X56)) = positive_part(least_upper_bound(X57,X56))
| ~ spl0_84 ),
inference(superposition,[],[f3965,f12499]) ).
fof(f13770,plain,
( spl0_107
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f13766,f12498,f13768]) ).
fof(f13768,plain,
( spl0_107
<=> ! [X36,X37] : identity = inverse(negative_part(multiply(positive_part(least_upper_bound(X37,X36)),inverse(X36)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f13766,plain,
( ! [X36,X37] : identity = inverse(negative_part(multiply(positive_part(least_upper_bound(X37,X36)),inverse(X36))))
| ~ spl0_84 ),
inference(forward_demodulation,[],[f13746,f5342]) ).
fof(f13746,plain,
( ! [X36,X37] : identity = multiply(X36,inverse(greatest_lower_bound(positive_part(least_upper_bound(X37,X36)),X36)))
| ~ spl0_84 ),
inference(superposition,[],[f2823,f12499]) ).
fof(f13527,plain,
( spl0_106
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f13523,f4623,f13525]) ).
fof(f13525,plain,
( spl0_106
<=> ! [X14,X15] : inverse(positive_part(X14)) = greatest_lower_bound(inverse(positive_part(X14)),inverse(least_upper_bound(X14,negative_part(X15)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f4623,plain,
( spl0_30
<=> ! [X4,X5] : positive_part(X4) = positive_part(least_upper_bound(X4,negative_part(X5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f13523,plain,
( ! [X14,X15] : inverse(positive_part(X14)) = greatest_lower_bound(inverse(positive_part(X14)),inverse(least_upper_bound(X14,negative_part(X15))))
| ~ spl0_30 ),
inference(forward_demodulation,[],[f13452,f4]) ).
fof(f13452,plain,
( ! [X14,X15] : inverse(positive_part(X14)) = greatest_lower_bound(inverse(least_upper_bound(X14,negative_part(X15))),inverse(positive_part(X14)))
| ~ spl0_30 ),
inference(superposition,[],[f2479,f4624]) ).
fof(f4624,plain,
( ! [X4,X5] : positive_part(X4) = positive_part(least_upper_bound(X4,negative_part(X5)))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f4623]) ).
fof(f2479,plain,
! [X2] : greatest_lower_bound(inverse(X2),inverse(positive_part(X2))) = inverse(positive_part(X2)),
inference(forward_demodulation,[],[f2472,f4]) ).
fof(f2472,plain,
! [X2] : greatest_lower_bound(inverse(positive_part(X2)),inverse(X2)) = inverse(positive_part(X2)),
inference(superposition,[],[f1861,f2076]) ).
fof(f2076,plain,
! [X0] : inverse(X0) = least_upper_bound(inverse(X0),inverse(positive_part(X0))),
inference(superposition,[],[f1926,f17]) ).
fof(f1926,plain,
! [X16] : least_upper_bound(X16,inverse(positive_part(inverse(X16)))) = X16,
inference(forward_demodulation,[],[f1917,f972]) ).
fof(f972,plain,
! [X27] : multiply(inverse(positive_part(inverse(X27))),positive_part(X27)) = X27,
inference(superposition,[],[f687,f686]) ).
fof(f1917,plain,
! [X16] : least_upper_bound(X16,inverse(positive_part(inverse(X16)))) = multiply(inverse(positive_part(inverse(X16))),positive_part(X16)),
inference(backward_demodulation,[],[f1665,f1914]) ).
fof(f1665,plain,
! [X16] : multiply(inverse(positive_part(inverse(X16))),positive_part(positive_part(X16))) = least_upper_bound(X16,inverse(positive_part(inverse(X16)))),
inference(forward_demodulation,[],[f1644,f5]) ).
fof(f1644,plain,
! [X16] : multiply(inverse(positive_part(inverse(X16))),positive_part(positive_part(X16))) = least_upper_bound(inverse(positive_part(inverse(X16))),X16),
inference(superposition,[],[f836,f972]) ).
fof(f13496,plain,
( spl0_105
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f13492,f6122,f13494]) ).
fof(f13494,plain,
( spl0_105
<=> ! [X16,X17] : inverse(positive_part(X17)) = greatest_lower_bound(inverse(positive_part(X17)),inverse(least_upper_bound(negative_part(X16),X17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f13492,plain,
( ! [X16,X17] : inverse(positive_part(X17)) = greatest_lower_bound(inverse(positive_part(X17)),inverse(least_upper_bound(negative_part(X16),X17)))
| ~ spl0_44 ),
inference(forward_demodulation,[],[f13453,f4]) ).
fof(f13453,plain,
( ! [X16,X17] : inverse(positive_part(X17)) = greatest_lower_bound(inverse(least_upper_bound(negative_part(X16),X17)),inverse(positive_part(X17)))
| ~ spl0_44 ),
inference(superposition,[],[f2479,f6123]) ).
fof(f13429,plain,
( spl0_104
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f13327,f6122,f13427]) ).
fof(f13427,plain,
( spl0_104
<=> ! [X16,X17] : multiply(inverse(positive_part(X17)),least_upper_bound(negative_part(X16),X17)) = inverse(positive_part(inverse(least_upper_bound(negative_part(X16),X17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f13327,plain,
( ! [X16,X17] : multiply(inverse(positive_part(X17)),least_upper_bound(negative_part(X16),X17)) = inverse(positive_part(inverse(least_upper_bound(negative_part(X16),X17))))
| ~ spl0_44 ),
inference(superposition,[],[f2416,f6123]) ).
fof(f2416,plain,
! [X27] : inverse(positive_part(inverse(X27))) = multiply(inverse(positive_part(X27)),X27),
inference(superposition,[],[f687,f1796]) ).
fof(f1796,plain,
! [X30] : multiply(positive_part(X30),inverse(positive_part(inverse(X30)))) = X30,
inference(forward_demodulation,[],[f1792,f17]) ).
fof(f1792,plain,
! [X30] : multiply(positive_part(X30),inverse(positive_part(inverse(X30)))) = inverse(inverse(X30)),
inference(superposition,[],[f1508,f1669]) ).
fof(f1669,plain,
! [X11] : positive_part(inverse(X11)) = multiply(inverse(X11),positive_part(X11)),
inference(forward_demodulation,[],[f1668,f786]) ).
fof(f1668,plain,
! [X11] : least_upper_bound(identity,inverse(X11)) = multiply(inverse(X11),positive_part(X11)),
inference(forward_demodulation,[],[f1640,f5]) ).
fof(f1640,plain,
! [X11] : least_upper_bound(inverse(X11),identity) = multiply(inverse(X11),positive_part(X11)),
inference(superposition,[],[f836,f2]) ).
fof(f13414,plain,
( spl0_103
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f13326,f4623,f13412]) ).
fof(f13412,plain,
( spl0_103
<=> ! [X14,X15] : inverse(positive_part(inverse(least_upper_bound(X14,negative_part(X15))))) = multiply(inverse(positive_part(X14)),least_upper_bound(X14,negative_part(X15))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f13326,plain,
( ! [X14,X15] : inverse(positive_part(inverse(least_upper_bound(X14,negative_part(X15))))) = multiply(inverse(positive_part(X14)),least_upper_bound(X14,negative_part(X15)))
| ~ spl0_30 ),
inference(superposition,[],[f2416,f4624]) ).
fof(f13290,plain,
( spl0_102
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f13229,f6122,f13288]) ).
fof(f13288,plain,
( spl0_102
<=> ! [X27,X28,X26] : identity = negative_part(multiply(inverse(greatest_lower_bound(X28,least_upper_bound(negative_part(X26),X27))),positive_part(X27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f13229,plain,
( ! [X28,X26,X27] : identity = negative_part(multiply(inverse(greatest_lower_bound(X28,least_upper_bound(negative_part(X26),X27))),positive_part(X27)))
| ~ spl0_44 ),
inference(superposition,[],[f11900,f6123]) ).
fof(f13280,plain,
( spl0_101
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f13228,f4623,f13278]) ).
fof(f13278,plain,
( spl0_101
<=> ! [X24,X25,X23] : identity = negative_part(multiply(inverse(greatest_lower_bound(X25,least_upper_bound(X23,negative_part(X24)))),positive_part(X23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f13228,plain,
( ! [X24,X25,X23] : identity = negative_part(multiply(inverse(greatest_lower_bound(X25,least_upper_bound(X23,negative_part(X24)))),positive_part(X23)))
| ~ spl0_30 ),
inference(superposition,[],[f11900,f4624]) ).
fof(f12987,plain,
( spl0_100
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f12896,f6122,f12985]) ).
fof(f12985,plain,
( spl0_100
<=> ! [X16,X17] : identity = least_upper_bound(inverse(positive_part(X17)),inverse(positive_part(inverse(least_upper_bound(negative_part(X16),X17))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f12896,plain,
( ! [X16,X17] : identity = least_upper_bound(inverse(positive_part(X17)),inverse(positive_part(inverse(least_upper_bound(negative_part(X16),X17)))))
| ~ spl0_44 ),
inference(superposition,[],[f8008,f6123]) ).
fof(f8008,plain,
! [X31] : identity = least_upper_bound(inverse(positive_part(X31)),inverse(positive_part(inverse(X31)))),
inference(forward_demodulation,[],[f7989,f658]) ).
fof(f7989,plain,
! [X31] : least_upper_bound(inverse(positive_part(X31)),inverse(positive_part(inverse(X31)))) = multiply(positive_part(X31),inverse(positive_part(X31))),
inference(superposition,[],[f99,f1545]) ).
fof(f1545,plain,
! [X21] : multiply(X21,inverse(positive_part(X21))) = inverse(positive_part(inverse(X21))),
inference(superposition,[],[f1508,f686]) ).
fof(f12980,plain,
( spl0_99
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f12895,f4623,f12978]) ).
fof(f12978,plain,
( spl0_99
<=> ! [X14,X15] : identity = least_upper_bound(inverse(positive_part(X14)),inverse(positive_part(inverse(least_upper_bound(X14,negative_part(X15)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f12895,plain,
( ! [X14,X15] : identity = least_upper_bound(inverse(positive_part(X14)),inverse(positive_part(inverse(least_upper_bound(X14,negative_part(X15))))))
| ~ spl0_30 ),
inference(superposition,[],[f8008,f4624]) ).
fof(f12712,plain,
spl0_98,
inference(avatar_split_clause,[],[f12711,f12664]) ).
fof(f12664,plain,
( spl0_98
<=> ! [X4,X5] : negative_part(greatest_lower_bound(X4,inverse(positive_part(X5)))) = greatest_lower_bound(X4,inverse(positive_part(X5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f12711,plain,
! [X6,X7] : negative_part(greatest_lower_bound(X6,inverse(positive_part(X7)))) = greatest_lower_bound(X6,inverse(positive_part(X7))),
inference(forward_demodulation,[],[f12609,f726]) ).
fof(f12609,plain,
! [X6,X7] : negative_part(greatest_lower_bound(X6,inverse(positive_part(X7)))) = multiply(greatest_lower_bound(X6,inverse(positive_part(X7))),identity),
inference(superposition,[],[f1071,f12325]) ).
fof(f12325,plain,
! [X0,X1] : identity = negative_part(inverse(greatest_lower_bound(X1,inverse(positive_part(X0))))),
inference(superposition,[],[f11990,f2846]) ).
fof(f11990,plain,
! [X8,X7] : identity = negative_part(inverse(greatest_lower_bound(inverse(positive_part(X7)),X8))),
inference(forward_demodulation,[],[f11928,f726]) ).
fof(f11928,plain,
! [X8,X7] : identity = negative_part(multiply(inverse(greatest_lower_bound(inverse(positive_part(X7)),X8)),identity)),
inference(superposition,[],[f11850,f1963]) ).
fof(f1963,plain,
! [X3] : identity = positive_part(inverse(positive_part(X3))),
inference(forward_demodulation,[],[f1960,f2]) ).
fof(f1960,plain,
! [X3] : multiply(inverse(positive_part(X3)),positive_part(X3)) = positive_part(inverse(positive_part(X3))),
inference(superposition,[],[f1669,f1914]) ).
fof(f12697,plain,
spl0_98,
inference(avatar_split_clause,[],[f12696,f12664]) ).
fof(f12696,plain,
! [X24,X23] : negative_part(greatest_lower_bound(X23,inverse(positive_part(X24)))) = greatest_lower_bound(X23,inverse(positive_part(X24))),
inference(forward_demodulation,[],[f12695,f17]) ).
fof(f12695,plain,
! [X24,X23] : inverse(inverse(greatest_lower_bound(X23,inverse(positive_part(X24))))) = negative_part(inverse(inverse(greatest_lower_bound(X23,inverse(positive_part(X24)))))),
inference(forward_demodulation,[],[f12615,f1]) ).
fof(f12615,plain,
! [X24,X23] : negative_part(inverse(inverse(greatest_lower_bound(X23,inverse(positive_part(X24)))))) = multiply(identity,inverse(inverse(greatest_lower_bound(X23,inverse(positive_part(X24)))))),
inference(superposition,[],[f925,f12325]) ).
fof(f12694,plain,
spl0_98,
inference(avatar_split_clause,[],[f12693,f12664]) ).
fof(f12693,plain,
! [X19,X20] : greatest_lower_bound(X19,inverse(positive_part(X20))) = negative_part(greatest_lower_bound(X19,inverse(positive_part(X20)))),
inference(forward_demodulation,[],[f12692,f17]) ).
fof(f12692,plain,
! [X19,X20] : negative_part(inverse(inverse(greatest_lower_bound(X19,inverse(positive_part(X20)))))) = inverse(inverse(greatest_lower_bound(X19,inverse(positive_part(X20))))),
inference(forward_demodulation,[],[f12614,f726]) ).
fof(f12614,plain,
! [X19,X20] : negative_part(inverse(inverse(greatest_lower_bound(X19,inverse(positive_part(X20)))))) = multiply(inverse(inverse(greatest_lower_bound(X19,inverse(positive_part(X20))))),identity),
inference(superposition,[],[f729,f12325]) ).
fof(f12690,plain,
( spl0_98
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f12689,f30,f12664]) ).
fof(f12689,plain,
( ! [X12,X13] : negative_part(greatest_lower_bound(X12,inverse(positive_part(X13)))) = greatest_lower_bound(X12,inverse(positive_part(X13)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f12688,f726]) ).
fof(f12688,plain,
( ! [X12,X13] : greatest_lower_bound(X12,inverse(positive_part(X13))) = multiply(negative_part(greatest_lower_bound(X12,inverse(positive_part(X13)))),identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f12612,f32]) ).
fof(f12612,plain,
! [X12,X13] : greatest_lower_bound(X12,inverse(positive_part(X13))) = multiply(negative_part(greatest_lower_bound(X12,inverse(positive_part(X13)))),inverse(identity)),
inference(superposition,[],[f1579,f12325]) ).
fof(f12685,plain,
spl0_98,
inference(avatar_split_clause,[],[f12684,f12664]) ).
fof(f12684,plain,
! [X2,X3] : negative_part(greatest_lower_bound(X2,inverse(positive_part(X3)))) = greatest_lower_bound(X2,inverse(positive_part(X3))),
inference(forward_demodulation,[],[f12607,f1]) ).
fof(f12607,plain,
! [X2,X3] : negative_part(greatest_lower_bound(X2,inverse(positive_part(X3)))) = multiply(identity,greatest_lower_bound(X2,inverse(positive_part(X3)))),
inference(superposition,[],[f682,f12325]) ).
fof(f12666,plain,
( spl0_98
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f12662,f30,f12664]) ).
fof(f12662,plain,
( ! [X4,X5] : negative_part(greatest_lower_bound(X4,inverse(positive_part(X5)))) = greatest_lower_bound(X4,inverse(positive_part(X5)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f12661,f1]) ).
fof(f12661,plain,
( ! [X4,X5] : multiply(identity,negative_part(greatest_lower_bound(X4,inverse(positive_part(X5))))) = greatest_lower_bound(X4,inverse(positive_part(X5)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f12608,f32]) ).
fof(f12608,plain,
! [X4,X5] : multiply(inverse(identity),negative_part(greatest_lower_bound(X4,inverse(positive_part(X5))))) = greatest_lower_bound(X4,inverse(positive_part(X5))),
inference(superposition,[],[f942,f12325]) ).
fof(f942,plain,
! [X27] : multiply(inverse(negative_part(inverse(X27))),negative_part(X27)) = X27,
inference(superposition,[],[f687,f682]) ).
fof(f12584,plain,
( spl0_97
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f12580,f12567,f12582]) ).
fof(f12582,plain,
( spl0_97
<=> ! [X16,X17] : positive_part(least_upper_bound(X17,X16)) = least_upper_bound(X16,positive_part(least_upper_bound(X17,X16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f12567,plain,
( spl0_94
<=> ! [X29,X30] : least_upper_bound(X29,positive_part(least_upper_bound(X29,X30))) = positive_part(least_upper_bound(X29,X30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f12580,plain,
( ! [X16,X17] : positive_part(least_upper_bound(X17,X16)) = least_upper_bound(X16,positive_part(least_upper_bound(X17,X16)))
| ~ spl0_94 ),
inference(backward_demodulation,[],[f3638,f12568]) ).
fof(f12568,plain,
( ! [X29,X30] : least_upper_bound(X29,positive_part(least_upper_bound(X29,X30))) = positive_part(least_upper_bound(X29,X30))
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f12567]) ).
fof(f3638,plain,
! [X16,X17] : least_upper_bound(X16,least_upper_bound(X17,positive_part(least_upper_bound(X17,X16)))) = positive_part(least_upper_bound(X17,X16)),
inference(forward_demodulation,[],[f3620,f7]) ).
fof(f3620,plain,
! [X16,X17] : positive_part(least_upper_bound(X17,X16)) = least_upper_bound(least_upper_bound(X16,X17),positive_part(least_upper_bound(X17,X16))),
inference(superposition,[],[f1923,f3391]) ).
fof(f1923,plain,
! [X28] : positive_part(X28) = least_upper_bound(X28,positive_part(X28)),
inference(forward_demodulation,[],[f1919,f1684]) ).
fof(f1919,plain,
! [X28] : multiply(X28,positive_part(inverse(X28))) = least_upper_bound(X28,positive_part(X28)),
inference(backward_demodulation,[],[f1720,f1914]) ).
fof(f1720,plain,
! [X28] : least_upper_bound(X28,positive_part(X28)) = multiply(X28,positive_part(positive_part(inverse(X28)))),
inference(superposition,[],[f836,f1684]) ).
fof(f12578,plain,
( spl0_96
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12463,f11454,f12576]) ).
fof(f12576,plain,
( spl0_96
<=> ! [X41,X40,X42,X39] : multiply(X39,X40) = greatest_lower_bound(multiply(X39,X40),positive_part(multiply(least_upper_bound(X39,multiply(X41,X42)),X40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f12463,plain,
( ! [X40,X41,X39,X42] : multiply(X39,X40) = greatest_lower_bound(multiply(X39,X40),positive_part(multiply(least_upper_bound(X39,multiply(X41,X42)),X40)))
| ~ spl0_78 ),
inference(superposition,[],[f11455,f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1] : least_upper_bound(multiply(X3,X2),multiply(X0,multiply(X1,X2))) = multiply(least_upper_bound(X3,multiply(X0,X1)),X2),
inference(superposition,[],[f14,f3]) ).
fof(f12574,plain,
( spl0_84
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12443,f11454,f12498]) ).
fof(f12443,plain,
( ! [X2,X1] : greatest_lower_bound(X1,positive_part(least_upper_bound(X2,X1))) = X1
| ~ spl0_78 ),
inference(superposition,[],[f11455,f5]) ).
fof(f12573,plain,
( spl0_95
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12462,f11454,f12571]) ).
fof(f12571,plain,
( spl0_95
<=> ! [X38,X36,X37] : multiply(X36,X37) = greatest_lower_bound(multiply(X36,X37),positive_part(multiply(least_upper_bound(X36,X38),X37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f12462,plain,
( ! [X38,X36,X37] : multiply(X36,X37) = greatest_lower_bound(multiply(X36,X37),positive_part(multiply(least_upper_bound(X36,X38),X37)))
| ~ spl0_78 ),
inference(superposition,[],[f11455,f14]) ).
fof(f12569,plain,
( spl0_94
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12565,f11454,f12567]) ).
fof(f12565,plain,
( ! [X29,X30] : least_upper_bound(X29,positive_part(least_upper_bound(X29,X30))) = positive_part(least_upper_bound(X29,X30))
| ~ spl0_78 ),
inference(forward_demodulation,[],[f12479,f5]) ).
fof(f12479,plain,
( ! [X29,X30] : positive_part(least_upper_bound(X29,X30)) = least_upper_bound(positive_part(least_upper_bound(X29,X30)),X29)
| ~ spl0_78 ),
inference(superposition,[],[f1809,f11455]) ).
fof(f12564,plain,
( spl0_85
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12493,f11454,f12502]) ).
fof(f12502,plain,
( spl0_85
<=> ! [X9,X8,X7] : greatest_lower_bound(X7,greatest_lower_bound(X8,positive_part(least_upper_bound(greatest_lower_bound(X7,X8),X9)))) = greatest_lower_bound(X7,X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f12493,plain,
( ! [X73,X74,X75] : greatest_lower_bound(X73,greatest_lower_bound(X74,positive_part(least_upper_bound(greatest_lower_bound(X73,X74),X75)))) = greatest_lower_bound(X73,X74)
| ~ spl0_78 ),
inference(superposition,[],[f6,f11455]) ).
fof(f12561,plain,
( spl0_93
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12446,f11454,f12559]) ).
fof(f12446,plain,
( ! [X6,X7] : greatest_lower_bound(X6,positive_part(multiply(positive_part(X7),X6))) = X6
| ~ spl0_78 ),
inference(superposition,[],[f11455,f99]) ).
fof(f12557,plain,
( spl0_92
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12553,f11454,f12555]) ).
fof(f12555,plain,
( spl0_92
<=> ! [X41,X42] : identity = inverse(negative_part(multiply(inverse(X41),positive_part(least_upper_bound(X41,X42))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f12553,plain,
( ! [X41,X42] : identity = inverse(negative_part(multiply(inverse(X41),positive_part(least_upper_bound(X41,X42)))))
| ~ spl0_78 ),
inference(forward_demodulation,[],[f12482,f8576]) ).
fof(f12482,plain,
( ! [X41,X42] : identity = multiply(inverse(greatest_lower_bound(positive_part(least_upper_bound(X41,X42)),X41)),X41)
| ~ spl0_78 ),
inference(superposition,[],[f2968,f11455]) ).
fof(f12552,plain,
( spl0_91
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12461,f11454,f12550]) ).
fof(f12550,plain,
( spl0_91
<=> ! [X34,X35,X33] : greatest_lower_bound(multiply(X33,X34),positive_part(multiply(X33,least_upper_bound(X34,X35)))) = multiply(X33,X34) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f12461,plain,
( ! [X34,X35,X33] : greatest_lower_bound(multiply(X33,X34),positive_part(multiply(X33,least_upper_bound(X34,X35)))) = multiply(X33,X34)
| ~ spl0_78 ),
inference(superposition,[],[f11455,f12]) ).
fof(f12548,plain,
( spl0_84
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12453,f11454,f12498]) ).
fof(f12453,plain,
( ! [X21,X20] : greatest_lower_bound(X20,positive_part(least_upper_bound(X21,X20))) = X20
| ~ spl0_78 ),
inference(superposition,[],[f11455,f2379]) ).
fof(f2379,plain,
! [X2,X1] : least_upper_bound(X1,least_upper_bound(X2,X1)) = least_upper_bound(X2,X1),
inference(forward_demodulation,[],[f2373,f5]) ).
fof(f2373,plain,
! [X2,X1] : least_upper_bound(X2,X1) = least_upper_bound(least_upper_bound(X2,X1),X1),
inference(superposition,[],[f1809,f1861]) ).
fof(f12546,plain,
( spl0_90
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12447,f11454,f12544]) ).
fof(f12447,plain,
( ! [X8,X9] : greatest_lower_bound(X8,positive_part(multiply(X8,positive_part(X9)))) = X8
| ~ spl0_78 ),
inference(superposition,[],[f11455,f836]) ).
fof(f12542,plain,
( spl0_89
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12478,f11454,f12540]) ).
fof(f12540,plain,
( spl0_89
<=> ! [X16,X15] : multiply(inverse(positive_part(least_upper_bound(X15,X16))),X15) = negative_part(multiply(inverse(positive_part(least_upper_bound(X15,X16))),X15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f12478,plain,
( ! [X16,X15] : multiply(inverse(positive_part(least_upper_bound(X15,X16))),X15) = negative_part(multiply(inverse(positive_part(least_upper_bound(X15,X16))),X15))
| ~ spl0_78 ),
inference(superposition,[],[f850,f11455]) ).
fof(f12535,plain,
( spl0_87
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12534,f11454,f12525]) ).
fof(f12525,plain,
( spl0_87
<=> ! [X13,X14] : identity = negative_part(multiply(inverse(X13),positive_part(least_upper_bound(X13,X14)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f12534,plain,
( ! [X44,X43] : identity = negative_part(multiply(inverse(X43),positive_part(least_upper_bound(X43,X44))))
| ~ spl0_78 ),
inference(forward_demodulation,[],[f12483,f850]) ).
fof(f12483,plain,
( ! [X44,X43] : identity = multiply(inverse(X43),greatest_lower_bound(positive_part(least_upper_bound(X43,X44)),X43))
| ~ spl0_78 ),
inference(superposition,[],[f2968,f11455]) ).
fof(f12532,plain,
( spl0_88
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12528,f11454,f12530]) ).
fof(f12530,plain,
( spl0_88
<=> ! [X55,X56] : least_upper_bound(negative_part(X55),positive_part(least_upper_bound(X55,X56))) = positive_part(least_upper_bound(X55,X56)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f12528,plain,
( ! [X56,X55] : least_upper_bound(negative_part(X55),positive_part(least_upper_bound(X55,X56))) = positive_part(least_upper_bound(X55,X56))
| ~ spl0_78 ),
inference(forward_demodulation,[],[f12484,f5]) ).
fof(f12484,plain,
( ! [X56,X55] : least_upper_bound(positive_part(least_upper_bound(X55,X56)),negative_part(X55)) = positive_part(least_upper_bound(X55,X56))
| ~ spl0_78 ),
inference(superposition,[],[f3965,f11455]) ).
fof(f12527,plain,
( spl0_87
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12523,f11454,f12525]) ).
fof(f12523,plain,
( ! [X14,X13] : identity = negative_part(multiply(inverse(X13),positive_part(least_upper_bound(X13,X14))))
| ~ spl0_78 ),
inference(forward_demodulation,[],[f12477,f2]) ).
fof(f12477,plain,
( ! [X14,X13] : multiply(inverse(X13),X13) = negative_part(multiply(inverse(X13),positive_part(least_upper_bound(X13,X14))))
| ~ spl0_78 ),
inference(superposition,[],[f849,f11455]) ).
fof(f12522,plain,
( spl0_86
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12475,f11454,f12520]) ).
fof(f12520,plain,
( spl0_86
<=> ! [X9,X8,X10] : greatest_lower_bound(X8,greatest_lower_bound(positive_part(least_upper_bound(X8,X9)),X10)) = greatest_lower_bound(X8,X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f12475,plain,
( ! [X10,X8,X9] : greatest_lower_bound(X8,greatest_lower_bound(positive_part(least_upper_bound(X8,X9)),X10)) = greatest_lower_bound(X8,X10)
| ~ spl0_78 ),
inference(superposition,[],[f6,f11455]) ).
fof(f12507,plain,
( spl0_84
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12469,f11454,f12498]) ).
fof(f12469,plain,
( ! [X2,X3] : greatest_lower_bound(X2,positive_part(least_upper_bound(X3,X2))) = X2
| ~ spl0_78 ),
inference(superposition,[],[f11455,f3391]) ).
fof(f12505,plain,
( spl0_84
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12444,f11454,f12498]) ).
fof(f12444,plain,
( ! [X3,X4] : greatest_lower_bound(X3,positive_part(least_upper_bound(X4,X3))) = X3
| ~ spl0_78 ),
inference(superposition,[],[f11455,f5]) ).
fof(f12504,plain,
( spl0_85
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12473,f11454,f12502]) ).
fof(f12473,plain,
( ! [X8,X9,X7] : greatest_lower_bound(X7,greatest_lower_bound(X8,positive_part(least_upper_bound(greatest_lower_bound(X7,X8),X9)))) = greatest_lower_bound(X7,X8)
| ~ spl0_78 ),
inference(superposition,[],[f11455,f6]) ).
fof(f12500,plain,
( spl0_84
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f12468,f11454,f12498]) ).
fof(f12468,plain,
( ! [X0,X1] : greatest_lower_bound(X0,positive_part(least_upper_bound(X1,X0))) = X0
| ~ spl0_78 ),
inference(superposition,[],[f11455,f3391]) ).
fof(f12250,plain,
( spl0_83
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f12246,f4426,f12248]) ).
fof(f12248,plain,
( spl0_83
<=> ! [X25,X24] : multiply(inverse(X24),positive_part(least_upper_bound(X24,inverse(X25)))) = positive_part(multiply(inverse(X24),positive_part(inverse(X25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f12246,plain,
( ! [X24,X25] : multiply(inverse(X24),positive_part(least_upper_bound(X24,inverse(X25)))) = positive_part(multiply(inverse(X24),positive_part(inverse(X25))))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f12245,f8496]) ).
fof(f8496,plain,
! [X72,X71] : multiply(inverse(X71),positive_part(inverse(X72))) = least_upper_bound(inverse(X71),inverse(multiply(X72,X71))),
inference(superposition,[],[f836,f18]) ).
fof(f12245,plain,
( ! [X24,X25] : positive_part(least_upper_bound(inverse(X24),inverse(multiply(X25,X24)))) = multiply(inverse(X24),positive_part(least_upper_bound(X24,inverse(X25))))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f12244,f4427]) ).
fof(f12244,plain,
( ! [X24,X25] : least_upper_bound(positive_part(inverse(X24)),inverse(multiply(X25,X24))) = multiply(inverse(X24),positive_part(least_upper_bound(X24,inverse(X25))))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f12104,f4427]) ).
fof(f12104,plain,
! [X24,X25] : least_upper_bound(positive_part(inverse(X24)),inverse(multiply(X25,X24))) = multiply(inverse(X24),least_upper_bound(positive_part(X24),inverse(X25))),
inference(superposition,[],[f8481,f1669]) ).
fof(f8481,plain,
! [X28,X26,X27] : least_upper_bound(multiply(inverse(X26),X28),inverse(multiply(X27,X26))) = multiply(inverse(X26),least_upper_bound(X28,inverse(X27))),
inference(superposition,[],[f12,f18]) ).
fof(f11988,plain,
( spl0_82
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f11934,f4623,f11986]) ).
fof(f11986,plain,
( spl0_82
<=> ! [X24,X25,X23] : identity = negative_part(multiply(inverse(greatest_lower_bound(least_upper_bound(X23,negative_part(X24)),X25)),positive_part(X23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f11934,plain,
( ! [X24,X25,X23] : identity = negative_part(multiply(inverse(greatest_lower_bound(least_upper_bound(X23,negative_part(X24)),X25)),positive_part(X23)))
| ~ spl0_30 ),
inference(superposition,[],[f11850,f4624]) ).
fof(f11968,plain,
( spl0_81
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f11935,f6122,f11966]) ).
fof(f11966,plain,
( spl0_81
<=> ! [X27,X28,X26] : identity = negative_part(multiply(inverse(greatest_lower_bound(least_upper_bound(negative_part(X26),X27),X28)),positive_part(X27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f11935,plain,
( ! [X28,X26,X27] : identity = negative_part(multiply(inverse(greatest_lower_bound(least_upper_bound(negative_part(X26),X27),X28)),positive_part(X27)))
| ~ spl0_44 ),
inference(superposition,[],[f11850,f6123]) ).
fof(f11553,plain,
( spl0_80
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f11485,f6122,f11551]) ).
fof(f11551,plain,
( spl0_80
<=> ! [X27,X28,X26] : greatest_lower_bound(least_upper_bound(negative_part(X26),X27),least_upper_bound(X28,positive_part(X27))) = least_upper_bound(negative_part(X26),X27) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f11485,plain,
( ! [X28,X26,X27] : greatest_lower_bound(least_upper_bound(negative_part(X26),X27),least_upper_bound(X28,positive_part(X27))) = least_upper_bound(negative_part(X26),X27)
| ~ spl0_44 ),
inference(superposition,[],[f11448,f6123]) ).
fof(f11543,plain,
( spl0_79
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f11484,f4623,f11541]) ).
fof(f11541,plain,
( spl0_79
<=> ! [X24,X25,X23] : least_upper_bound(X23,negative_part(X24)) = greatest_lower_bound(least_upper_bound(X23,negative_part(X24)),least_upper_bound(X25,positive_part(X23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f11484,plain,
( ! [X24,X25,X23] : least_upper_bound(X23,negative_part(X24)) = greatest_lower_bound(least_upper_bound(X23,negative_part(X24)),least_upper_bound(X25,positive_part(X23)))
| ~ spl0_30 ),
inference(superposition,[],[f11448,f4624]) ).
fof(f11456,plain,
( spl0_78
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f11452,f4426,f11454]) ).
fof(f11452,plain,
( ! [X18,X17] : greatest_lower_bound(X17,positive_part(least_upper_bound(X17,X18))) = X17
| ~ spl0_5 ),
inference(forward_demodulation,[],[f11451,f1863]) ).
fof(f11451,plain,
( ! [X18,X17] : greatest_lower_bound(X17,positive_part(least_upper_bound(X17,X18))) = greatest_lower_bound(X17,positive_part(X17))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f11379,f4427]) ).
fof(f11379,plain,
! [X18,X17] : greatest_lower_bound(X17,positive_part(X17)) = greatest_lower_bound(X17,least_upper_bound(positive_part(X17),X18)),
inference(superposition,[],[f11258,f11]) ).
fof(f11423,plain,
( spl0_77
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f11419,f6122,f11421]) ).
fof(f11421,plain,
( spl0_77
<=> ! [X27,X28,X26] : greatest_lower_bound(positive_part(X27),greatest_lower_bound(least_upper_bound(negative_part(X26),X27),X28)) = greatest_lower_bound(least_upper_bound(negative_part(X26),X27),X28) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f11419,plain,
( ! [X28,X26,X27] : greatest_lower_bound(positive_part(X27),greatest_lower_bound(least_upper_bound(negative_part(X26),X27),X28)) = greatest_lower_bound(least_upper_bound(negative_part(X26),X27),X28)
| ~ spl0_44 ),
inference(forward_demodulation,[],[f11368,f11323]) ).
fof(f11323,plain,
! [X6,X7,X5] : greatest_lower_bound(X6,greatest_lower_bound(X5,X7)) = greatest_lower_bound(X5,greatest_lower_bound(X6,X7)),
inference(forward_demodulation,[],[f11249,f6]) ).
fof(f11249,plain,
! [X6,X7,X5] : greatest_lower_bound(greatest_lower_bound(X6,X5),X7) = greatest_lower_bound(X5,greatest_lower_bound(X6,X7)),
inference(superposition,[],[f6,f4]) ).
fof(f11368,plain,
( ! [X28,X26,X27] : greatest_lower_bound(least_upper_bound(negative_part(X26),X27),greatest_lower_bound(positive_part(X27),X28)) = greatest_lower_bound(least_upper_bound(negative_part(X26),X27),X28)
| ~ spl0_44 ),
inference(superposition,[],[f11258,f6123]) ).
fof(f11415,plain,
( spl0_76
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f11411,f4623,f11413]) ).
fof(f11413,plain,
( spl0_76
<=> ! [X25,X24,X23] : greatest_lower_bound(positive_part(X23),greatest_lower_bound(least_upper_bound(X23,negative_part(X24)),X25)) = greatest_lower_bound(least_upper_bound(X23,negative_part(X24)),X25) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f11411,plain,
( ! [X24,X25,X23] : greatest_lower_bound(positive_part(X23),greatest_lower_bound(least_upper_bound(X23,negative_part(X24)),X25)) = greatest_lower_bound(least_upper_bound(X23,negative_part(X24)),X25)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f11367,f11323]) ).
fof(f11367,plain,
( ! [X24,X25,X23] : greatest_lower_bound(least_upper_bound(X23,negative_part(X24)),greatest_lower_bound(positive_part(X23),X25)) = greatest_lower_bound(least_upper_bound(X23,negative_part(X24)),X25)
| ~ spl0_30 ),
inference(superposition,[],[f11258,f4624]) ).
fof(f9537,plain,
( spl0_75
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f9533,f4426,f9535]) ).
fof(f9535,plain,
( spl0_75
<=> ! [X29,X30,X31] : multiply(positive_part(least_upper_bound(inverse(X29),multiply(X30,X31))),inverse(positive_part(X29))) = least_upper_bound(inverse(X29),multiply(X30,multiply(X31,inverse(positive_part(X29))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f9533,plain,
( ! [X31,X29,X30] : multiply(positive_part(least_upper_bound(inverse(X29),multiply(X30,X31))),inverse(positive_part(X29))) = least_upper_bound(inverse(X29),multiply(X30,multiply(X31,inverse(positive_part(X29)))))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f9470,f4427]) ).
fof(f9470,plain,
! [X31,X29,X30] : multiply(least_upper_bound(positive_part(inverse(X29)),multiply(X30,X31)),inverse(positive_part(X29))) = least_upper_bound(inverse(X29),multiply(X30,multiply(X31,inverse(positive_part(X29))))),
inference(superposition,[],[f54,f1721]) ).
fof(f1721,plain,
! [X29] : multiply(positive_part(inverse(X29)),inverse(positive_part(X29))) = inverse(X29),
inference(superposition,[],[f1508,f1684]) ).
fof(f9528,plain,
( spl0_74
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f9452,f4623,f9526]) ).
fof(f9526,plain,
( spl0_74
<=> ! [X14,X15] : inverse(least_upper_bound(X14,negative_part(X15))) = multiply(positive_part(inverse(least_upper_bound(X14,negative_part(X15)))),inverse(positive_part(X14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f9452,plain,
( ! [X14,X15] : inverse(least_upper_bound(X14,negative_part(X15))) = multiply(positive_part(inverse(least_upper_bound(X14,negative_part(X15)))),inverse(positive_part(X14)))
| ~ spl0_30 ),
inference(superposition,[],[f1721,f4624]) ).
fof(f9512,plain,
( spl0_73
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f9508,f4426,f9510]) ).
fof(f9510,plain,
( spl0_73
<=> ! [X13,X12] : multiply(positive_part(least_upper_bound(inverse(X12),X13)),inverse(positive_part(X12))) = least_upper_bound(inverse(X12),multiply(X13,inverse(positive_part(X12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f9508,plain,
( ! [X12,X13] : multiply(positive_part(least_upper_bound(inverse(X12),X13)),inverse(positive_part(X12))) = least_upper_bound(inverse(X12),multiply(X13,inverse(positive_part(X12))))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f9463,f4427]) ).
fof(f9463,plain,
! [X12,X13] : multiply(least_upper_bound(positive_part(inverse(X12)),X13),inverse(positive_part(X12))) = least_upper_bound(inverse(X12),multiply(X13,inverse(positive_part(X12)))),
inference(superposition,[],[f14,f1721]) ).
fof(f9502,plain,
( spl0_72
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f9453,f6122,f9500]) ).
fof(f9500,plain,
( spl0_72
<=> ! [X16,X17] : inverse(least_upper_bound(negative_part(X16),X17)) = multiply(positive_part(inverse(least_upper_bound(negative_part(X16),X17))),inverse(positive_part(X17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f9453,plain,
( ! [X16,X17] : inverse(least_upper_bound(negative_part(X16),X17)) = multiply(positive_part(inverse(least_upper_bound(negative_part(X16),X17))),inverse(positive_part(X17)))
| ~ spl0_44 ),
inference(superposition,[],[f1721,f6123]) ).
fof(f8557,plain,
( spl0_71
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f8550,f6237,f8555]) ).
fof(f8555,plain,
( spl0_71
<=> ! [X27,X28] : multiply(inverse(positive_part(X28)),negative_part(X27)) = negative_part(multiply(inverse(positive_part(X28)),negative_part(X27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f6237,plain,
( spl0_52
<=> ! [X27,X28] : inverse(multiply(inverse(negative_part(X27)),positive_part(X28))) = negative_part(inverse(multiply(inverse(negative_part(X27)),positive_part(X28)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f8550,plain,
( ! [X28,X27] : multiply(inverse(positive_part(X28)),negative_part(X27)) = negative_part(multiply(inverse(positive_part(X28)),negative_part(X27)))
| ~ spl0_52 ),
inference(backward_demodulation,[],[f6238,f8457]) ).
fof(f6238,plain,
( ! [X28,X27] : inverse(multiply(inverse(negative_part(X27)),positive_part(X28))) = negative_part(inverse(multiply(inverse(negative_part(X27)),positive_part(X28))))
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f6237]) ).
fof(f8040,plain,
( spl0_70
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7966,f6122,f8038]) ).
fof(f8038,plain,
( spl0_70
<=> ! [X16,X17] : multiply(least_upper_bound(negative_part(X16),X17),inverse(positive_part(X17))) = inverse(positive_part(inverse(least_upper_bound(negative_part(X16),X17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f7966,plain,
( ! [X16,X17] : multiply(least_upper_bound(negative_part(X16),X17),inverse(positive_part(X17))) = inverse(positive_part(inverse(least_upper_bound(negative_part(X16),X17))))
| ~ spl0_44 ),
inference(superposition,[],[f1545,f6123]) ).
fof(f8032,plain,
( spl0_69
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f7965,f4623,f8030]) ).
fof(f8030,plain,
( spl0_69
<=> ! [X14,X15] : inverse(positive_part(inverse(least_upper_bound(X14,negative_part(X15))))) = multiply(least_upper_bound(X14,negative_part(X15)),inverse(positive_part(X14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f7965,plain,
( ! [X14,X15] : inverse(positive_part(inverse(least_upper_bound(X14,negative_part(X15))))) = multiply(least_upper_bound(X14,negative_part(X15)),inverse(positive_part(X14)))
| ~ spl0_30 ),
inference(superposition,[],[f1545,f4624]) ).
fof(f7829,plain,
( spl0_68
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f7749,f4623,f7827]) ).
fof(f7827,plain,
( spl0_68
<=> ! [X14,X15] : inverse(least_upper_bound(X14,negative_part(X15))) = multiply(inverse(positive_part(X14)),positive_part(inverse(least_upper_bound(X14,negative_part(X15))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f7749,plain,
( ! [X14,X15] : inverse(least_upper_bound(X14,negative_part(X15))) = multiply(inverse(positive_part(X14)),positive_part(inverse(least_upper_bound(X14,negative_part(X15)))))
| ~ spl0_30 ),
inference(superposition,[],[f1355,f4624]) ).
fof(f1355,plain,
! [X27] : multiply(inverse(positive_part(X27)),positive_part(inverse(X27))) = inverse(X27),
inference(superposition,[],[f687,f955]) ).
fof(f7801,plain,
( spl0_67
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f7797,f4426,f7799]) ).
fof(f7799,plain,
( spl0_67
<=> ! [X4,X3] : multiply(inverse(positive_part(X3)),positive_part(least_upper_bound(inverse(X3),X4))) = least_upper_bound(inverse(X3),multiply(inverse(positive_part(X3)),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f7797,plain,
( ! [X3,X4] : multiply(inverse(positive_part(X3)),positive_part(least_upper_bound(inverse(X3),X4))) = least_upper_bound(inverse(X3),multiply(inverse(positive_part(X3)),X4))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f7763,f4427]) ).
fof(f7763,plain,
! [X3,X4] : least_upper_bound(inverse(X3),multiply(inverse(positive_part(X3)),X4)) = multiply(inverse(positive_part(X3)),least_upper_bound(positive_part(inverse(X3)),X4)),
inference(superposition,[],[f12,f1355]) ).
fof(f7788,plain,
( spl0_66
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7750,f6122,f7786]) ).
fof(f7786,plain,
( spl0_66
<=> ! [X16,X17] : multiply(inverse(positive_part(X17)),positive_part(inverse(least_upper_bound(negative_part(X16),X17)))) = inverse(least_upper_bound(negative_part(X16),X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f7750,plain,
( ! [X16,X17] : multiply(inverse(positive_part(X17)),positive_part(inverse(least_upper_bound(negative_part(X16),X17)))) = inverse(least_upper_bound(negative_part(X16),X17))
| ~ spl0_44 ),
inference(superposition,[],[f1355,f6123]) ).
fof(f7313,plain,
( spl0_65
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7211,f6122,f7311]) ).
fof(f7311,plain,
( spl0_65
<=> ! [X6,X7] : positive_part(multiply(X7,negative_part(X6))) = positive_part(multiply(positive_part(X7),negative_part(X6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f7211,plain,
( ! [X6,X7] : positive_part(multiply(X7,negative_part(X6))) = positive_part(multiply(positive_part(X7),negative_part(X6)))
| ~ spl0_44 ),
inference(superposition,[],[f6123,f99]) ).
fof(f7309,plain,
( spl0_64
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7305,f6122,f7307]) ).
fof(f7307,plain,
( spl0_64
<=> ! [X16,X17] : least_upper_bound(negative_part(X16),X17) = greatest_lower_bound(positive_part(X17),least_upper_bound(negative_part(X16),X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f7305,plain,
( ! [X16,X17] : least_upper_bound(negative_part(X16),X17) = greatest_lower_bound(positive_part(X17),least_upper_bound(negative_part(X16),X17))
| ~ spl0_44 ),
inference(forward_demodulation,[],[f7232,f4]) ).
fof(f7232,plain,
( ! [X16,X17] : least_upper_bound(negative_part(X16),X17) = greatest_lower_bound(least_upper_bound(negative_part(X16),X17),positive_part(X17))
| ~ spl0_44 ),
inference(superposition,[],[f1863,f6123]) ).
fof(f7301,plain,
( spl0_63
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7297,f6122,f7299]) ).
fof(f7299,plain,
( spl0_63
<=> ! [X29,X28] : least_upper_bound(inverse(positive_part(X29)),inverse(least_upper_bound(negative_part(X28),X29))) = inverse(least_upper_bound(negative_part(X28),X29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f7297,plain,
( ! [X28,X29] : least_upper_bound(inverse(positive_part(X29)),inverse(least_upper_bound(negative_part(X28),X29))) = inverse(least_upper_bound(negative_part(X28),X29))
| ~ spl0_44 ),
inference(forward_demodulation,[],[f7238,f5]) ).
fof(f7238,plain,
( ! [X28,X29] : least_upper_bound(inverse(least_upper_bound(negative_part(X28),X29)),inverse(positive_part(X29))) = inverse(least_upper_bound(negative_part(X28),X29))
| ~ spl0_44 ),
inference(superposition,[],[f2076,f6123]) ).
fof(f7287,plain,
( spl0_62
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7228,f6122,f7285]) ).
fof(f7285,plain,
( spl0_62
<=> ! [X9,X8] : least_upper_bound(negative_part(X8),X9) = multiply(inverse(positive_part(inverse(least_upper_bound(negative_part(X8),X9)))),positive_part(X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f7228,plain,
( ! [X8,X9] : least_upper_bound(negative_part(X8),X9) = multiply(inverse(positive_part(inverse(least_upper_bound(negative_part(X8),X9)))),positive_part(X9))
| ~ spl0_44 ),
inference(superposition,[],[f972,f6123]) ).
fof(f7276,plain,
( spl0_61
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7227,f6122,f7274]) ).
fof(f7274,plain,
( spl0_61
<=> ! [X6,X7] : multiply(positive_part(X7),inverse(least_upper_bound(negative_part(X6),X7))) = positive_part(inverse(least_upper_bound(negative_part(X6),X7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f7227,plain,
( ! [X6,X7] : multiply(positive_part(X7),inverse(least_upper_bound(negative_part(X6),X7))) = positive_part(inverse(least_upper_bound(negative_part(X6),X7)))
| ~ spl0_44 ),
inference(superposition,[],[f955,f6123]) ).
fof(f7272,plain,
( spl0_60
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7229,f6122,f7270]) ).
fof(f7270,plain,
( spl0_60
<=> ! [X11,X10] : multiply(positive_part(X11),least_upper_bound(negative_part(X10),X11)) = multiply(least_upper_bound(negative_part(X10),X11),positive_part(X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f7229,plain,
( ! [X10,X11] : multiply(positive_part(X11),least_upper_bound(negative_part(X10),X11)) = multiply(least_upper_bound(negative_part(X10),X11),positive_part(X11))
| ~ spl0_44 ),
inference(superposition,[],[f1654,f6123]) ).
fof(f1654,plain,
! [X0] : multiply(positive_part(X0),X0) = multiply(X0,positive_part(X0)),
inference(superposition,[],[f836,f99]) ).
fof(f7266,plain,
( spl0_59
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7212,f6122,f7264]) ).
fof(f7264,plain,
( spl0_59
<=> ! [X9,X8] : positive_part(multiply(negative_part(X8),positive_part(X9))) = positive_part(multiply(negative_part(X8),X9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f7212,plain,
( ! [X8,X9] : positive_part(multiply(negative_part(X8),positive_part(X9))) = positive_part(multiply(negative_part(X8),X9))
| ~ spl0_44 ),
inference(superposition,[],[f6123,f836]) ).
fof(f7259,plain,
( spl0_58
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7193,f6122,f7257]) ).
fof(f7257,plain,
( spl0_58
<=> ! [X18,X19] : positive_part(least_upper_bound(inverse(positive_part(X18)),X19)) = positive_part(X19) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f7193,plain,
( ! [X18,X19] : positive_part(least_upper_bound(inverse(positive_part(X18)),X19)) = positive_part(X19)
| ~ spl0_44 ),
inference(superposition,[],[f6123,f1928]) ).
fof(f7255,plain,
( spl0_57
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7230,f6122,f7253]) ).
fof(f7253,plain,
( spl0_57
<=> ! [X13,X12] : positive_part(inverse(least_upper_bound(negative_part(X12),X13))) = multiply(inverse(least_upper_bound(negative_part(X12),X13)),positive_part(X13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f7230,plain,
( ! [X12,X13] : positive_part(inverse(least_upper_bound(negative_part(X12),X13))) = multiply(inverse(least_upper_bound(negative_part(X12),X13)),positive_part(X13))
| ~ spl0_44 ),
inference(superposition,[],[f1669,f6123]) ).
fof(f7250,plain,
( spl0_56
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f7231,f6122,f7248]) ).
fof(f7248,plain,
( spl0_56
<=> ! [X14,X15] : multiply(positive_part(X15),inverse(positive_part(inverse(least_upper_bound(negative_part(X14),X15))))) = least_upper_bound(negative_part(X14),X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f7231,plain,
( ! [X14,X15] : multiply(positive_part(X15),inverse(positive_part(inverse(least_upper_bound(negative_part(X14),X15))))) = least_upper_bound(negative_part(X14),X15)
| ~ spl0_44 ),
inference(superposition,[],[f1796,f6123]) ).
fof(f7158,plain,
( spl0_55
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f7154,f4426,f7156]) ).
fof(f7156,plain,
( spl0_55
<=> ! [X137,X136,X138] : least_upper_bound(multiply(X136,positive_part(X136)),multiply(X137,multiply(X138,X136))) = multiply(positive_part(least_upper_bound(X136,multiply(X137,X138))),X136) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f7154,plain,
( ! [X138,X136,X137] : least_upper_bound(multiply(X136,positive_part(X136)),multiply(X137,multiply(X138,X136))) = multiply(positive_part(least_upper_bound(X136,multiply(X137,X138))),X136)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f6942,f4427]) ).
fof(f6942,plain,
! [X138,X136,X137] : multiply(least_upper_bound(positive_part(X136),multiply(X137,X138)),X136) = least_upper_bound(multiply(X136,positive_part(X136)),multiply(X137,multiply(X138,X136))),
inference(superposition,[],[f54,f1654]) ).
fof(f6899,plain,
spl0_54,
inference(avatar_split_clause,[],[f6898,f6858]) ).
fof(f6858,plain,
( spl0_54
<=> ! [X30,X31] : negative_part(inverse(multiply(inverse(greatest_lower_bound(X30,X31)),X31))) = inverse(multiply(inverse(greatest_lower_bound(X30,X31)),X31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f6898,plain,
! [X6,X7] : negative_part(inverse(multiply(inverse(greatest_lower_bound(X6,X7)),X7))) = inverse(multiply(inverse(greatest_lower_bound(X6,X7)),X7)),
inference(forward_demodulation,[],[f6818,f726]) ).
fof(f6818,plain,
! [X6,X7] : multiply(inverse(multiply(inverse(greatest_lower_bound(X6,X7)),X7)),identity) = negative_part(inverse(multiply(inverse(greatest_lower_bound(X6,X7)),X7))),
inference(superposition,[],[f729,f6590]) ).
fof(f6590,plain,
! [X3,X4] : identity = negative_part(multiply(inverse(greatest_lower_bound(X4,X3)),X3)),
inference(superposition,[],[f6546,f4]) ).
fof(f6546,plain,
! [X11,X12] : identity = negative_part(multiply(inverse(greatest_lower_bound(X11,X12)),X11)),
inference(forward_demodulation,[],[f6545,f6515]) ).
fof(f6515,plain,
! [X21,X19,X20] : negative_part(multiply(inverse(greatest_lower_bound(X19,X20)),X21)) = multiply(inverse(greatest_lower_bound(X19,X20)),greatest_lower_bound(X21,greatest_lower_bound(X20,X19))),
inference(forward_demodulation,[],[f6514,f843]) ).
fof(f6514,plain,
! [X21,X19,X20] : multiply(inverse(greatest_lower_bound(X19,X20)),greatest_lower_bound(X21,greatest_lower_bound(X20,X19))) = greatest_lower_bound(identity,multiply(inverse(greatest_lower_bound(X19,X20)),X21)),
inference(forward_demodulation,[],[f6485,f4]) ).
fof(f6485,plain,
! [X21,X19,X20] : multiply(inverse(greatest_lower_bound(X19,X20)),greatest_lower_bound(X21,greatest_lower_bound(X20,X19))) = greatest_lower_bound(multiply(inverse(greatest_lower_bound(X19,X20)),X21),identity),
inference(superposition,[],[f13,f2968]) ).
fof(f6545,plain,
! [X11,X12] : identity = multiply(inverse(greatest_lower_bound(X11,X12)),greatest_lower_bound(X11,greatest_lower_bound(X12,X11))),
inference(forward_demodulation,[],[f6445,f1232]) ).
fof(f6445,plain,
! [X11,X12] : identity = multiply(inverse(greatest_lower_bound(X11,X12)),greatest_lower_bound(greatest_lower_bound(X12,X11),X11)),
inference(superposition,[],[f2968,f2389]) ).
fof(f6895,plain,
spl0_54,
inference(avatar_split_clause,[],[f6894,f6858]) ).
fof(f6894,plain,
! [X10,X11] : negative_part(inverse(multiply(inverse(greatest_lower_bound(X10,X11)),X11))) = inverse(multiply(inverse(greatest_lower_bound(X10,X11)),X11)),
inference(forward_demodulation,[],[f6820,f1]) ).
fof(f6820,plain,
! [X10,X11] : multiply(identity,inverse(multiply(inverse(greatest_lower_bound(X10,X11)),X11))) = negative_part(inverse(multiply(inverse(greatest_lower_bound(X10,X11)),X11))),
inference(superposition,[],[f925,f6590]) ).
fof(f6881,plain,
( spl0_54
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6880,f30,f6858]) ).
fof(f6880,plain,
( ! [X16,X17] : negative_part(inverse(multiply(inverse(greatest_lower_bound(X16,X17)),X17))) = inverse(multiply(inverse(greatest_lower_bound(X16,X17)),X17))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6879,f1]) ).
fof(f6879,plain,
( ! [X16,X17] : multiply(identity,negative_part(inverse(multiply(inverse(greatest_lower_bound(X16,X17)),X17)))) = inverse(multiply(inverse(greatest_lower_bound(X16,X17)),X17))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6823,f32]) ).
fof(f6823,plain,
! [X16,X17] : inverse(multiply(inverse(greatest_lower_bound(X16,X17)),X17)) = multiply(inverse(identity),negative_part(inverse(multiply(inverse(greatest_lower_bound(X16,X17)),X17)))),
inference(superposition,[],[f1291,f6590]) ).
fof(f1291,plain,
! [X27] : multiply(inverse(negative_part(X27)),negative_part(inverse(X27))) = inverse(X27),
inference(superposition,[],[f687,f925]) ).
fof(f6860,plain,
( spl0_54
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6856,f30,f6858]) ).
fof(f6856,plain,
( ! [X31,X30] : negative_part(inverse(multiply(inverse(greatest_lower_bound(X30,X31)),X31))) = inverse(multiply(inverse(greatest_lower_bound(X30,X31)),X31))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6855,f843]) ).
fof(f6855,plain,
( ! [X31,X30] : greatest_lower_bound(identity,inverse(multiply(inverse(greatest_lower_bound(X30,X31)),X31))) = inverse(multiply(inverse(greatest_lower_bound(X30,X31)),X31))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6854,f32]) ).
fof(f6854,plain,
! [X31,X30] : greatest_lower_bound(inverse(identity),inverse(multiply(inverse(greatest_lower_bound(X30,X31)),X31))) = inverse(multiply(inverse(greatest_lower_bound(X30,X31)),X31)),
inference(forward_demodulation,[],[f6830,f4]) ).
fof(f6830,plain,
! [X31,X30] : greatest_lower_bound(inverse(multiply(inverse(greatest_lower_bound(X30,X31)),X31)),inverse(identity)) = inverse(multiply(inverse(greatest_lower_bound(X30,X31)),X31)),
inference(superposition,[],[f2252,f6590]) ).
fof(f6696,plain,
( spl0_53
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6695,f30,f6678]) ).
fof(f6678,plain,
( spl0_53
<=> ! [X16,X15] : inverse(multiply(inverse(greatest_lower_bound(X15,X16)),X15)) = negative_part(inverse(multiply(inverse(greatest_lower_bound(X15,X16)),X15))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f6695,plain,
( ! [X29,X30] : inverse(multiply(inverse(greatest_lower_bound(X29,X30)),X29)) = negative_part(inverse(multiply(inverse(greatest_lower_bound(X29,X30)),X29)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6694,f843]) ).
fof(f6694,plain,
( ! [X29,X30] : inverse(multiply(inverse(greatest_lower_bound(X29,X30)),X29)) = greatest_lower_bound(identity,inverse(multiply(inverse(greatest_lower_bound(X29,X30)),X29)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6693,f32]) ).
fof(f6693,plain,
! [X29,X30] : inverse(multiply(inverse(greatest_lower_bound(X29,X30)),X29)) = greatest_lower_bound(inverse(identity),inverse(multiply(inverse(greatest_lower_bound(X29,X30)),X29))),
inference(forward_demodulation,[],[f6627,f4]) ).
fof(f6627,plain,
! [X29,X30] : greatest_lower_bound(inverse(multiply(inverse(greatest_lower_bound(X29,X30)),X29)),inverse(identity)) = inverse(multiply(inverse(greatest_lower_bound(X29,X30)),X29)),
inference(superposition,[],[f2252,f6546]) ).
fof(f6689,plain,
spl0_53,
inference(avatar_split_clause,[],[f6688,f6678]) ).
fof(f6688,plain,
! [X10,X9] : inverse(multiply(inverse(greatest_lower_bound(X9,X10)),X9)) = negative_part(inverse(multiply(inverse(greatest_lower_bound(X9,X10)),X9))),
inference(forward_demodulation,[],[f6617,f1]) ).
fof(f6617,plain,
! [X10,X9] : multiply(identity,inverse(multiply(inverse(greatest_lower_bound(X9,X10)),X9))) = negative_part(inverse(multiply(inverse(greatest_lower_bound(X9,X10)),X9))),
inference(superposition,[],[f925,f6546]) ).
fof(f6685,plain,
spl0_53,
inference(avatar_split_clause,[],[f6684,f6678]) ).
fof(f6684,plain,
! [X6,X5] : inverse(multiply(inverse(greatest_lower_bound(X5,X6)),X5)) = negative_part(inverse(multiply(inverse(greatest_lower_bound(X5,X6)),X5))),
inference(forward_demodulation,[],[f6615,f726]) ).
fof(f6615,plain,
! [X6,X5] : multiply(inverse(multiply(inverse(greatest_lower_bound(X5,X6)),X5)),identity) = negative_part(inverse(multiply(inverse(greatest_lower_bound(X5,X6)),X5))),
inference(superposition,[],[f729,f6546]) ).
fof(f6680,plain,
( spl0_53
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6676,f30,f6678]) ).
fof(f6676,plain,
( ! [X16,X15] : inverse(multiply(inverse(greatest_lower_bound(X15,X16)),X15)) = negative_part(inverse(multiply(inverse(greatest_lower_bound(X15,X16)),X15)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6675,f1]) ).
fof(f6675,plain,
( ! [X16,X15] : inverse(multiply(inverse(greatest_lower_bound(X15,X16)),X15)) = multiply(identity,negative_part(inverse(multiply(inverse(greatest_lower_bound(X15,X16)),X15))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6620,f32]) ).
fof(f6620,plain,
! [X16,X15] : inverse(multiply(inverse(greatest_lower_bound(X15,X16)),X15)) = multiply(inverse(identity),negative_part(inverse(multiply(inverse(greatest_lower_bound(X15,X16)),X15)))),
inference(superposition,[],[f1291,f6546]) ).
fof(f6290,plain,
( spl0_52
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6289,f30,f6237]) ).
fof(f6289,plain,
( ! [X14,X13] : inverse(multiply(inverse(negative_part(X13)),positive_part(X14))) = negative_part(inverse(multiply(inverse(negative_part(X13)),positive_part(X14))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6288,f1]) ).
fof(f6288,plain,
( ! [X14,X13] : inverse(multiply(inverse(negative_part(X13)),positive_part(X14))) = multiply(identity,negative_part(inverse(multiply(inverse(negative_part(X13)),positive_part(X14)))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6208,f32]) ).
fof(f6208,plain,
! [X14,X13] : inverse(multiply(inverse(negative_part(X13)),positive_part(X14))) = multiply(inverse(identity),negative_part(inverse(multiply(inverse(negative_part(X13)),positive_part(X14))))),
inference(superposition,[],[f1291,f4982]) ).
fof(f4982,plain,
! [X10,X9] : identity = negative_part(multiply(inverse(negative_part(X9)),positive_part(X10))),
inference(superposition,[],[f4378,f836]) ).
fof(f4378,plain,
! [X3,X4] : identity = negative_part(least_upper_bound(inverse(negative_part(X3)),X4)),
inference(superposition,[],[f4319,f1847]) ).
fof(f6253,plain,
spl0_52,
inference(avatar_split_clause,[],[f6252,f6237]) ).
fof(f6252,plain,
! [X3,X4] : inverse(multiply(inverse(negative_part(X3)),positive_part(X4))) = negative_part(inverse(multiply(inverse(negative_part(X3)),positive_part(X4)))),
inference(forward_demodulation,[],[f6203,f726]) ).
fof(f6203,plain,
! [X3,X4] : multiply(inverse(multiply(inverse(negative_part(X3)),positive_part(X4))),identity) = negative_part(inverse(multiply(inverse(negative_part(X3)),positive_part(X4)))),
inference(superposition,[],[f729,f4982]) ).
fof(f6245,plain,
spl0_52,
inference(avatar_split_clause,[],[f6244,f6237]) ).
fof(f6244,plain,
! [X8,X7] : inverse(multiply(inverse(negative_part(X7)),positive_part(X8))) = negative_part(inverse(multiply(inverse(negative_part(X7)),positive_part(X8)))),
inference(forward_demodulation,[],[f6205,f1]) ).
fof(f6205,plain,
! [X8,X7] : negative_part(inverse(multiply(inverse(negative_part(X7)),positive_part(X8)))) = multiply(identity,inverse(multiply(inverse(negative_part(X7)),positive_part(X8)))),
inference(superposition,[],[f925,f4982]) ).
fof(f6239,plain,
( spl0_52
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6235,f30,f6237]) ).
fof(f6235,plain,
( ! [X28,X27] : inverse(multiply(inverse(negative_part(X27)),positive_part(X28))) = negative_part(inverse(multiply(inverse(negative_part(X27)),positive_part(X28))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6234,f843]) ).
fof(f6234,plain,
( ! [X28,X27] : greatest_lower_bound(identity,inverse(multiply(inverse(negative_part(X27)),positive_part(X28)))) = inverse(multiply(inverse(negative_part(X27)),positive_part(X28)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f6233,f32]) ).
fof(f6233,plain,
! [X28,X27] : inverse(multiply(inverse(negative_part(X27)),positive_part(X28))) = greatest_lower_bound(inverse(identity),inverse(multiply(inverse(negative_part(X27)),positive_part(X28)))),
inference(forward_demodulation,[],[f6215,f4]) ).
fof(f6215,plain,
! [X28,X27] : inverse(multiply(inverse(negative_part(X27)),positive_part(X28))) = greatest_lower_bound(inverse(multiply(inverse(negative_part(X27)),positive_part(X28))),inverse(identity)),
inference(superposition,[],[f2252,f4982]) ).
fof(f6165,plain,
( spl0_43
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6088,f4623,f6117]) ).
fof(f6117,plain,
( spl0_43
<=> ! [X11,X10] : positive_part(least_upper_bound(negative_part(X11),X10)) = positive_part(X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f6088,plain,
( ! [X2,X3] : positive_part(least_upper_bound(negative_part(X3),X2)) = positive_part(X2)
| ~ spl0_30 ),
inference(superposition,[],[f4624,f3391]) ).
fof(f6164,plain,
( spl0_43
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6086,f4623,f6117]) ).
fof(f6086,plain,
( ! [X12,X13] : positive_part(least_upper_bound(negative_part(X13),X12)) = positive_part(X12)
| ~ spl0_30 ),
inference(superposition,[],[f4624,f5]) ).
fof(f6163,plain,
( spl0_51
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6092,f4623,f6161]) ).
fof(f6161,plain,
( spl0_51
<=> ! [X4,X5] : multiply(positive_part(X4),inverse(least_upper_bound(X4,negative_part(X5)))) = positive_part(inverse(least_upper_bound(X4,negative_part(X5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f6092,plain,
( ! [X4,X5] : multiply(positive_part(X4),inverse(least_upper_bound(X4,negative_part(X5)))) = positive_part(inverse(least_upper_bound(X4,negative_part(X5))))
| ~ spl0_30 ),
inference(superposition,[],[f955,f4624]) ).
fof(f6155,plain,
( spl0_50
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6095,f4623,f6153]) ).
fof(f6153,plain,
( spl0_50
<=> ! [X11,X10] : multiply(inverse(least_upper_bound(X10,negative_part(X11))),positive_part(X10)) = positive_part(inverse(least_upper_bound(X10,negative_part(X11)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f6095,plain,
( ! [X10,X11] : multiply(inverse(least_upper_bound(X10,negative_part(X11))),positive_part(X10)) = positive_part(inverse(least_upper_bound(X10,negative_part(X11))))
| ~ spl0_30 ),
inference(superposition,[],[f1669,f4624]) ).
fof(f6151,plain,
( spl0_49
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6096,f4623,f6149]) ).
fof(f6149,plain,
( spl0_49
<=> ! [X13,X12] : multiply(positive_part(X12),inverse(positive_part(inverse(least_upper_bound(X12,negative_part(X13)))))) = least_upper_bound(X12,negative_part(X13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f6096,plain,
( ! [X12,X13] : multiply(positive_part(X12),inverse(positive_part(inverse(least_upper_bound(X12,negative_part(X13)))))) = least_upper_bound(X12,negative_part(X13))
| ~ spl0_30 ),
inference(superposition,[],[f1796,f4624]) ).
fof(f6147,plain,
( spl0_44
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6090,f4623,f6122]) ).
fof(f6090,plain,
( ! [X0,X1] : positive_part(X0) = positive_part(least_upper_bound(negative_part(X1),X0))
| ~ spl0_30 ),
inference(superposition,[],[f3391,f4624]) ).
fof(f6146,plain,
( spl0_43
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6091,f4623,f6117]) ).
fof(f6091,plain,
( ! [X2,X3] : positive_part(least_upper_bound(negative_part(X3),X2)) = positive_part(X2)
| ~ spl0_30 ),
inference(superposition,[],[f3391,f4624]) ).
fof(f6143,plain,
( spl0_48
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6093,f4623,f6141]) ).
fof(f6141,plain,
( spl0_48
<=> ! [X6,X7] : multiply(inverse(positive_part(inverse(least_upper_bound(X6,negative_part(X7))))),positive_part(X6)) = least_upper_bound(X6,negative_part(X7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f6093,plain,
( ! [X6,X7] : multiply(inverse(positive_part(inverse(least_upper_bound(X6,negative_part(X7))))),positive_part(X6)) = least_upper_bound(X6,negative_part(X7))
| ~ spl0_30 ),
inference(superposition,[],[f972,f4624]) ).
fof(f6139,plain,
( spl0_47
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6135,f4623,f6137]) ).
fof(f6137,plain,
( spl0_47
<=> ! [X14,X15] : greatest_lower_bound(positive_part(X14),least_upper_bound(X14,negative_part(X15))) = least_upper_bound(X14,negative_part(X15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f6135,plain,
( ! [X14,X15] : greatest_lower_bound(positive_part(X14),least_upper_bound(X14,negative_part(X15))) = least_upper_bound(X14,negative_part(X15))
| ~ spl0_30 ),
inference(forward_demodulation,[],[f6097,f4]) ).
fof(f6097,plain,
( ! [X14,X15] : greatest_lower_bound(least_upper_bound(X14,negative_part(X15)),positive_part(X14)) = least_upper_bound(X14,negative_part(X15))
| ~ spl0_30 ),
inference(superposition,[],[f1863,f4624]) ).
fof(f6133,plain,
( spl0_46
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6094,f4623,f6131]) ).
fof(f6131,plain,
( spl0_46
<=> ! [X9,X8] : multiply(least_upper_bound(X8,negative_part(X9)),positive_part(X8)) = multiply(positive_part(X8),least_upper_bound(X8,negative_part(X9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f6094,plain,
( ! [X8,X9] : multiply(least_upper_bound(X8,negative_part(X9)),positive_part(X8)) = multiply(positive_part(X8),least_upper_bound(X8,negative_part(X9)))
| ~ spl0_30 ),
inference(superposition,[],[f1654,f4624]) ).
fof(f6129,plain,
( spl0_45
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6125,f4623,f6127]) ).
fof(f6127,plain,
( spl0_45
<=> ! [X27,X26] : inverse(least_upper_bound(X26,negative_part(X27))) = least_upper_bound(inverse(positive_part(X26)),inverse(least_upper_bound(X26,negative_part(X27)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f6125,plain,
( ! [X26,X27] : inverse(least_upper_bound(X26,negative_part(X27))) = least_upper_bound(inverse(positive_part(X26)),inverse(least_upper_bound(X26,negative_part(X27))))
| ~ spl0_30 ),
inference(forward_demodulation,[],[f6103,f5]) ).
fof(f6103,plain,
( ! [X26,X27] : inverse(least_upper_bound(X26,negative_part(X27))) = least_upper_bound(inverse(least_upper_bound(X26,negative_part(X27))),inverse(positive_part(X26)))
| ~ spl0_30 ),
inference(superposition,[],[f2076,f4624]) ).
fof(f6124,plain,
( spl0_44
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6089,f4623,f6122]) ).
fof(f6089,plain,
( ! [X4,X5] : positive_part(X4) = positive_part(least_upper_bound(negative_part(X5),X4))
| ~ spl0_30 ),
inference(superposition,[],[f4624,f3391]) ).
fof(f6119,plain,
( spl0_43
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6085,f4623,f6117]) ).
fof(f6085,plain,
( ! [X10,X11] : positive_part(least_upper_bound(negative_part(X11),X10)) = positive_part(X10)
| ~ spl0_30 ),
inference(superposition,[],[f4624,f5]) ).
fof(f6114,plain,
( spl0_42
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f6071,f4623,f6112]) ).
fof(f6112,plain,
( spl0_42
<=> ! [X9,X10] : positive_part(least_upper_bound(X10,inverse(positive_part(X9)))) = positive_part(X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f6071,plain,
( ! [X10,X9] : positive_part(least_upper_bound(X10,inverse(positive_part(X9)))) = positive_part(X10)
| ~ spl0_30 ),
inference(superposition,[],[f4624,f1928]) ).
fof(f5281,plain,
spl0_41,
inference(avatar_split_clause,[],[f5280,f5254]) ).
fof(f5254,plain,
( spl0_41
<=> ! [X24,X23] : positive_part(inverse(multiply(inverse(least_upper_bound(X23,X24)),X23))) = inverse(multiply(inverse(least_upper_bound(X23,X24)),X23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f5280,plain,
! [X2,X1] : positive_part(inverse(multiply(inverse(least_upper_bound(X1,X2)),X1))) = inverse(multiply(inverse(least_upper_bound(X1,X2)),X1)),
inference(forward_demodulation,[],[f5232,f1]) ).
fof(f5232,plain,
! [X2,X1] : positive_part(inverse(multiply(inverse(least_upper_bound(X1,X2)),X1))) = multiply(identity,inverse(multiply(inverse(least_upper_bound(X1,X2)),X1))),
inference(superposition,[],[f955,f4868]) ).
fof(f4868,plain,
! [X16,X15] : identity = positive_part(multiply(inverse(least_upper_bound(X15,X16)),X15)),
inference(forward_demodulation,[],[f4803,f2]) ).
fof(f4803,plain,
! [X16,X15] : positive_part(multiply(inverse(least_upper_bound(X15,X16)),X15)) = multiply(inverse(least_upper_bound(X15,X16)),least_upper_bound(X15,X16)),
inference(superposition,[],[f804,f2248]) ).
fof(f2248,plain,
! [X8,X9] : least_upper_bound(X8,least_upper_bound(X8,X9)) = least_upper_bound(X8,X9),
inference(forward_demodulation,[],[f2232,f5]) ).
fof(f2232,plain,
! [X8,X9] : least_upper_bound(least_upper_bound(X8,X9),X8) = least_upper_bound(X8,X9),
inference(superposition,[],[f1809,f11]) ).
fof(f804,plain,
! [X4,X5] : multiply(inverse(X4),least_upper_bound(X5,X4)) = positive_part(multiply(inverse(X4),X5)),
inference(backward_demodulation,[],[f679,f786]) ).
fof(f679,plain,
! [X4,X5] : least_upper_bound(identity,multiply(inverse(X4),X5)) = multiply(inverse(X4),least_upper_bound(X5,X4)),
inference(forward_demodulation,[],[f662,f5]) ).
fof(f662,plain,
! [X4,X5] : multiply(inverse(X4),least_upper_bound(X5,X4)) = least_upper_bound(multiply(inverse(X4),X5),identity),
inference(superposition,[],[f12,f2]) ).
fof(f5275,plain,
spl0_41,
inference(avatar_split_clause,[],[f5274,f5254]) ).
fof(f5274,plain,
! [X8,X7] : positive_part(inverse(multiply(inverse(least_upper_bound(X7,X8)),X7))) = inverse(multiply(inverse(least_upper_bound(X7,X8)),X7)),
inference(forward_demodulation,[],[f5235,f726]) ).
fof(f5235,plain,
! [X8,X7] : positive_part(inverse(multiply(inverse(least_upper_bound(X7,X8)),X7))) = multiply(inverse(multiply(inverse(least_upper_bound(X7,X8)),X7)),identity),
inference(superposition,[],[f1669,f4868]) ).
fof(f5256,plain,
( spl0_41
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5252,f30,f5254]) ).
fof(f5252,plain,
( ! [X24,X23] : positive_part(inverse(multiply(inverse(least_upper_bound(X23,X24)),X23))) = inverse(multiply(inverse(least_upper_bound(X23,X24)),X23))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f5251,f786]) ).
fof(f5251,plain,
( ! [X24,X23] : inverse(multiply(inverse(least_upper_bound(X23,X24)),X23)) = least_upper_bound(identity,inverse(multiply(inverse(least_upper_bound(X23,X24)),X23)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f5250,f32]) ).
fof(f5250,plain,
! [X24,X23] : inverse(multiply(inverse(least_upper_bound(X23,X24)),X23)) = least_upper_bound(inverse(identity),inverse(multiply(inverse(least_upper_bound(X23,X24)),X23))),
inference(forward_demodulation,[],[f5243,f5]) ).
fof(f5243,plain,
! [X24,X23] : least_upper_bound(inverse(multiply(inverse(least_upper_bound(X23,X24)),X23)),inverse(identity)) = inverse(multiply(inverse(least_upper_bound(X23,X24)),X23)),
inference(superposition,[],[f2076,f4868]) ).
fof(f5043,plain,
spl0_40,
inference(avatar_split_clause,[],[f5042,f5015]) ).
fof(f5015,plain,
( spl0_40
<=> ! [X22,X21] : inverse(least_upper_bound(inverse(negative_part(X21)),X22)) = negative_part(inverse(least_upper_bound(inverse(negative_part(X21)),X22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f5042,plain,
! [X11,X12] : inverse(least_upper_bound(inverse(negative_part(X11)),X12)) = negative_part(inverse(least_upper_bound(inverse(negative_part(X11)),X12))),
inference(forward_demodulation,[],[f4997,f726]) ).
fof(f4997,plain,
! [X11,X12] : negative_part(inverse(least_upper_bound(inverse(negative_part(X11)),X12))) = multiply(inverse(least_upper_bound(inverse(negative_part(X11)),X12)),identity),
inference(superposition,[],[f729,f4378]) ).
fof(f5023,plain,
( spl0_40
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5022,f30,f5015]) ).
fof(f5022,plain,
( ! [X36,X35] : inverse(least_upper_bound(inverse(negative_part(X35)),X36)) = negative_part(inverse(least_upper_bound(inverse(negative_part(X35)),X36)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f5021,f843]) ).
fof(f5021,plain,
( ! [X36,X35] : inverse(least_upper_bound(inverse(negative_part(X35)),X36)) = greatest_lower_bound(identity,inverse(least_upper_bound(inverse(negative_part(X35)),X36)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f5020,f32]) ).
fof(f5020,plain,
! [X36,X35] : inverse(least_upper_bound(inverse(negative_part(X35)),X36)) = greatest_lower_bound(inverse(identity),inverse(least_upper_bound(inverse(negative_part(X35)),X36))),
inference(forward_demodulation,[],[f5009,f4]) ).
fof(f5009,plain,
! [X36,X35] : greatest_lower_bound(inverse(least_upper_bound(inverse(negative_part(X35)),X36)),inverse(identity)) = inverse(least_upper_bound(inverse(negative_part(X35)),X36)),
inference(superposition,[],[f2252,f4378]) ).
fof(f5019,plain,
spl0_40,
inference(avatar_split_clause,[],[f5018,f5015]) ).
fof(f5018,plain,
! [X16,X15] : negative_part(inverse(least_upper_bound(inverse(negative_part(X15)),X16))) = inverse(least_upper_bound(inverse(negative_part(X15)),X16)),
inference(forward_demodulation,[],[f4999,f1]) ).
fof(f4999,plain,
! [X16,X15] : negative_part(inverse(least_upper_bound(inverse(negative_part(X15)),X16))) = multiply(identity,inverse(least_upper_bound(inverse(negative_part(X15)),X16))),
inference(superposition,[],[f925,f4378]) ).
fof(f5017,plain,
( spl0_40
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5013,f30,f5015]) ).
fof(f5013,plain,
( ! [X21,X22] : inverse(least_upper_bound(inverse(negative_part(X21)),X22)) = negative_part(inverse(least_upper_bound(inverse(negative_part(X21)),X22)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f5012,f1]) ).
fof(f5012,plain,
( ! [X21,X22] : multiply(identity,negative_part(inverse(least_upper_bound(inverse(negative_part(X21)),X22)))) = inverse(least_upper_bound(inverse(negative_part(X21)),X22))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f5002,f32]) ).
fof(f5002,plain,
! [X21,X22] : multiply(inverse(identity),negative_part(inverse(least_upper_bound(inverse(negative_part(X21)),X22)))) = inverse(least_upper_bound(inverse(negative_part(X21)),X22)),
inference(superposition,[],[f1291,f4378]) ).
fof(f4895,plain,
( spl0_39
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f4891,f4885,f4893]) ).
fof(f4893,plain,
( spl0_39
<=> ! [X13,X12,X14] : positive_part(multiply(inverse(X12),least_upper_bound(X14,X13))) = least_upper_bound(multiply(inverse(X12),X14),positive_part(multiply(inverse(X12),X13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f4885,plain,
( spl0_38
<=> ! [X11,X12,X10] : positive_part(multiply(inverse(X10),least_upper_bound(X11,X12))) = multiply(inverse(X10),least_upper_bound(X11,least_upper_bound(X10,X12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f4891,plain,
( ! [X14,X12,X13] : positive_part(multiply(inverse(X12),least_upper_bound(X14,X13))) = least_upper_bound(multiply(inverse(X12),X14),positive_part(multiply(inverse(X12),X13)))
| ~ spl0_38 ),
inference(backward_demodulation,[],[f4665,f4886]) ).
fof(f4886,plain,
( ! [X10,X11,X12] : positive_part(multiply(inverse(X10),least_upper_bound(X11,X12))) = multiply(inverse(X10),least_upper_bound(X11,least_upper_bound(X10,X12)))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f4885]) ).
fof(f4665,plain,
! [X14,X12,X13] : least_upper_bound(multiply(inverse(X12),X14),positive_part(multiply(inverse(X12),X13))) = multiply(inverse(X12),least_upper_bound(X14,least_upper_bound(X12,X13))),
inference(superposition,[],[f12,f803]) ).
fof(f803,plain,
! [X2,X3] : positive_part(multiply(inverse(X2),X3)) = multiply(inverse(X2),least_upper_bound(X2,X3)),
inference(backward_demodulation,[],[f661,f786]) ).
fof(f661,plain,
! [X2,X3] : least_upper_bound(identity,multiply(inverse(X2),X3)) = multiply(inverse(X2),least_upper_bound(X2,X3)),
inference(superposition,[],[f12,f2]) ).
fof(f4887,plain,
( spl0_38
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4883,f4426,f4885]) ).
fof(f4883,plain,
( ! [X10,X11,X12] : positive_part(multiply(inverse(X10),least_upper_bound(X11,X12))) = multiply(inverse(X10),least_upper_bound(X11,least_upper_bound(X10,X12)))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4882,f12]) ).
fof(f4882,plain,
( ! [X10,X11,X12] : multiply(inverse(X10),least_upper_bound(X11,least_upper_bound(X10,X12))) = positive_part(least_upper_bound(multiply(inverse(X10),X11),multiply(inverse(X10),X12)))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4881,f4427]) ).
fof(f4881,plain,
! [X10,X11,X12] : multiply(inverse(X10),least_upper_bound(X11,least_upper_bound(X10,X12))) = least_upper_bound(positive_part(multiply(inverse(X10),X11)),multiply(inverse(X10),X12)),
inference(forward_demodulation,[],[f4820,f7]) ).
fof(f4820,plain,
! [X10,X11,X12] : least_upper_bound(positive_part(multiply(inverse(X10),X11)),multiply(inverse(X10),X12)) = multiply(inverse(X10),least_upper_bound(least_upper_bound(X11,X10),X12)),
inference(superposition,[],[f12,f804]) ).
fof(f4864,plain,
( spl0_37
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4860,f4426,f4862]) ).
fof(f4862,plain,
( spl0_37
<=> ! [X25,X27,X26] : positive_part(least_upper_bound(multiply(inverse(X25),X26),multiply(X27,least_upper_bound(X26,X25)))) = multiply(least_upper_bound(X27,inverse(X25)),least_upper_bound(X26,X25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f4860,plain,
( ! [X26,X27,X25] : positive_part(least_upper_bound(multiply(inverse(X25),X26),multiply(X27,least_upper_bound(X26,X25)))) = multiply(least_upper_bound(X27,inverse(X25)),least_upper_bound(X26,X25))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4859,f4427]) ).
fof(f4859,plain,
! [X26,X27,X25] : multiply(least_upper_bound(X27,inverse(X25)),least_upper_bound(X26,X25)) = least_upper_bound(positive_part(multiply(inverse(X25),X26)),multiply(X27,least_upper_bound(X26,X25))),
inference(forward_demodulation,[],[f4825,f5]) ).
fof(f4825,plain,
! [X26,X27,X25] : multiply(least_upper_bound(X27,inverse(X25)),least_upper_bound(X26,X25)) = least_upper_bound(multiply(X27,least_upper_bound(X26,X25)),positive_part(multiply(inverse(X25),X26))),
inference(superposition,[],[f14,f804]) ).
fof(f4848,plain,
( spl0_36
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4844,f4426,f4846]) ).
fof(f4846,plain,
( spl0_36
<=> ! [X22,X24,X23] : positive_part(least_upper_bound(multiply(inverse(X22),X23),multiply(X24,least_upper_bound(X23,X22)))) = multiply(least_upper_bound(inverse(X22),X24),least_upper_bound(X23,X22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f4844,plain,
( ! [X24,X22,X23] : positive_part(least_upper_bound(multiply(inverse(X22),X23),multiply(X24,least_upper_bound(X23,X22)))) = multiply(least_upper_bound(inverse(X22),X24),least_upper_bound(X23,X22))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4824,f4427]) ).
fof(f4824,plain,
! [X24,X22,X23] : least_upper_bound(positive_part(multiply(inverse(X22),X23)),multiply(X24,least_upper_bound(X23,X22))) = multiply(least_upper_bound(inverse(X22),X24),least_upper_bound(X23,X22)),
inference(superposition,[],[f14,f804]) ).
fof(f4842,plain,
( spl0_35
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4838,f4426,f4840]) ).
fof(f4840,plain,
( spl0_35
<=> ! [X38,X41,X40,X39] : positive_part(least_upper_bound(multiply(inverse(X38),X39),multiply(X40,multiply(X41,least_upper_bound(X39,X38))))) = multiply(least_upper_bound(multiply(X40,X41),inverse(X38)),least_upper_bound(X39,X38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f4838,plain,
( ! [X40,X38,X41,X39] : positive_part(least_upper_bound(multiply(inverse(X38),X39),multiply(X40,multiply(X41,least_upper_bound(X39,X38))))) = multiply(least_upper_bound(multiply(X40,X41),inverse(X38)),least_upper_bound(X39,X38))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4837,f4427]) ).
fof(f4837,plain,
! [X40,X38,X41,X39] : least_upper_bound(positive_part(multiply(inverse(X38),X39)),multiply(X40,multiply(X41,least_upper_bound(X39,X38)))) = multiply(least_upper_bound(multiply(X40,X41),inverse(X38)),least_upper_bound(X39,X38)),
inference(forward_demodulation,[],[f4829,f5]) ).
fof(f4829,plain,
! [X40,X38,X41,X39] : least_upper_bound(multiply(X40,multiply(X41,least_upper_bound(X39,X38))),positive_part(multiply(inverse(X38),X39))) = multiply(least_upper_bound(multiply(X40,X41),inverse(X38)),least_upper_bound(X39,X38)),
inference(superposition,[],[f53,f804]) ).
fof(f4736,plain,
( spl0_34
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f4732,f4490,f4734]) ).
fof(f4734,plain,
( spl0_34
<=> ! [X44,X43] : least_upper_bound(X43,positive_part(multiply(positive_part(inverse(X43)),X44))) = multiply(positive_part(inverse(X43)),least_upper_bound(X43,X44)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f4490,plain,
( spl0_8
<=> ! [X11,X10] : positive_part(multiply(positive_part(X11),X10)) = least_upper_bound(X10,positive_part(multiply(X11,X10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f4732,plain,
( ! [X44,X43] : least_upper_bound(X43,positive_part(multiply(positive_part(inverse(X43)),X44))) = multiply(positive_part(inverse(X43)),least_upper_bound(X43,X44))
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4731,f4491]) ).
fof(f4491,plain,
( ! [X10,X11] : positive_part(multiply(positive_part(X11),X10)) = least_upper_bound(X10,positive_part(multiply(X11,X10)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f4490]) ).
fof(f4731,plain,
! [X44,X43] : least_upper_bound(X43,least_upper_bound(X44,positive_part(multiply(inverse(X43),X44)))) = multiply(positive_part(inverse(X43)),least_upper_bound(X43,X44)),
inference(forward_demodulation,[],[f4675,f7]) ).
fof(f4675,plain,
! [X44,X43] : least_upper_bound(least_upper_bound(X43,X44),positive_part(multiply(inverse(X43),X44))) = multiply(positive_part(inverse(X43)),least_upper_bound(X43,X44)),
inference(superposition,[],[f99,f803]) ).
fof(f4723,plain,
( spl0_33
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4719,f4426,f4721]) ).
fof(f4721,plain,
( spl0_33
<=> ! [X22,X21,X23] : positive_part(least_upper_bound(multiply(inverse(X21),X22),multiply(X23,least_upper_bound(X21,X22)))) = multiply(least_upper_bound(inverse(X21),X23),least_upper_bound(X21,X22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f4719,plain,
( ! [X21,X22,X23] : positive_part(least_upper_bound(multiply(inverse(X21),X22),multiply(X23,least_upper_bound(X21,X22)))) = multiply(least_upper_bound(inverse(X21),X23),least_upper_bound(X21,X22))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4668,f4427]) ).
fof(f4668,plain,
! [X21,X22,X23] : least_upper_bound(positive_part(multiply(inverse(X21),X22)),multiply(X23,least_upper_bound(X21,X22))) = multiply(least_upper_bound(inverse(X21),X23),least_upper_bound(X21,X22)),
inference(superposition,[],[f14,f803]) ).
fof(f4700,plain,
( spl0_32
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4696,f4426,f4698]) ).
fof(f4698,plain,
( spl0_32
<=> ! [X25,X24,X26] : multiply(least_upper_bound(X26,inverse(X24)),least_upper_bound(X24,X25)) = positive_part(least_upper_bound(multiply(inverse(X24),X25),multiply(X26,least_upper_bound(X24,X25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f4696,plain,
( ! [X26,X24,X25] : multiply(least_upper_bound(X26,inverse(X24)),least_upper_bound(X24,X25)) = positive_part(least_upper_bound(multiply(inverse(X24),X25),multiply(X26,least_upper_bound(X24,X25))))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4695,f4427]) ).
fof(f4695,plain,
! [X26,X24,X25] : multiply(least_upper_bound(X26,inverse(X24)),least_upper_bound(X24,X25)) = least_upper_bound(positive_part(multiply(inverse(X24),X25)),multiply(X26,least_upper_bound(X24,X25))),
inference(forward_demodulation,[],[f4669,f5]) ).
fof(f4669,plain,
! [X26,X24,X25] : least_upper_bound(multiply(X26,least_upper_bound(X24,X25)),positive_part(multiply(inverse(X24),X25))) = multiply(least_upper_bound(X26,inverse(X24)),least_upper_bound(X24,X25)),
inference(superposition,[],[f14,f803]) ).
fof(f4688,plain,
( spl0_31
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4684,f4426,f4686]) ).
fof(f4686,plain,
( spl0_31
<=> ! [X38,X40,X39,X37] : positive_part(least_upper_bound(multiply(inverse(X37),X38),multiply(X39,multiply(X40,least_upper_bound(X37,X38))))) = multiply(least_upper_bound(multiply(X39,X40),inverse(X37)),least_upper_bound(X37,X38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f4684,plain,
( ! [X40,X38,X39,X37] : positive_part(least_upper_bound(multiply(inverse(X37),X38),multiply(X39,multiply(X40,least_upper_bound(X37,X38))))) = multiply(least_upper_bound(multiply(X39,X40),inverse(X37)),least_upper_bound(X37,X38))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4683,f4427]) ).
fof(f4683,plain,
! [X40,X38,X39,X37] : least_upper_bound(positive_part(multiply(inverse(X37),X38)),multiply(X39,multiply(X40,least_upper_bound(X37,X38)))) = multiply(least_upper_bound(multiply(X39,X40),inverse(X37)),least_upper_bound(X37,X38)),
inference(forward_demodulation,[],[f4673,f5]) ).
fof(f4673,plain,
! [X40,X38,X39,X37] : least_upper_bound(multiply(X39,multiply(X40,least_upper_bound(X37,X38))),positive_part(multiply(inverse(X37),X38))) = multiply(least_upper_bound(multiply(X39,X40),inverse(X37)),least_upper_bound(X37,X38)),
inference(superposition,[],[f53,f803]) ).
fof(f4625,plain,
( spl0_30
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4621,f4426,f4623]) ).
fof(f4621,plain,
( ! [X4,X5] : positive_part(X4) = positive_part(least_upper_bound(X4,negative_part(X5)))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4611,f4427]) ).
fof(f4611,plain,
! [X4,X5] : positive_part(X4) = least_upper_bound(positive_part(X4),negative_part(X5)),
inference(superposition,[],[f4057,f4022]) ).
fof(f4057,plain,
! [X0,X1] : least_upper_bound(X1,negative_part(greatest_lower_bound(X1,X0))) = X1,
inference(superposition,[],[f3965,f3116]) ).
fof(f3116,plain,
! [X38,X39] : negative_part(greatest_lower_bound(X39,X38)) = negative_part(greatest_lower_bound(X38,X39)),
inference(forward_demodulation,[],[f3080,f2759]) ).
fof(f3080,plain,
! [X38,X39] : negative_part(greatest_lower_bound(X38,X39)) = multiply(greatest_lower_bound(X38,X39),negative_part(inverse(greatest_lower_bound(X39,X38)))),
inference(superposition,[],[f1071,f2846]) ).
fof(f4591,plain,
( spl0_29
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f4587,f4571,f4589]) ).
fof(f4589,plain,
( spl0_29
<=> ! [X13,X12] : positive_part(multiply(positive_part(X13),inverse(X12))) = multiply(least_upper_bound(X13,positive_part(X12)),inverse(X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f4571,plain,
( spl0_25
<=> ! [X11,X10] : multiply(positive_part(least_upper_bound(X10,X11)),inverse(X10)) = positive_part(multiply(positive_part(X11),inverse(X10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f4587,plain,
( ! [X12,X13] : positive_part(multiply(positive_part(X13),inverse(X12))) = multiply(least_upper_bound(X13,positive_part(X12)),inverse(X12))
| ~ spl0_25 ),
inference(backward_demodulation,[],[f1361,f4572]) ).
fof(f4572,plain,
( ! [X10,X11] : multiply(positive_part(least_upper_bound(X10,X11)),inverse(X10)) = positive_part(multiply(positive_part(X11),inverse(X10)))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f4571]) ).
fof(f1361,plain,
! [X12,X13] : multiply(positive_part(least_upper_bound(X12,X13)),inverse(X12)) = multiply(least_upper_bound(X13,positive_part(X12)),inverse(X12)),
inference(forward_demodulation,[],[f1360,f1358]) ).
fof(f1358,plain,
! [X10,X11] : multiply(positive_part(least_upper_bound(X10,X11)),inverse(X10)) = least_upper_bound(inverse(X10),positive_part(multiply(X11,inverse(X10)))),
inference(forward_demodulation,[],[f1357,f207]) ).
fof(f207,plain,
! [X16,X17,X15] : multiply(least_upper_bound(positive_part(X15),X17),X16) = multiply(positive_part(least_upper_bound(X15,X17)),X16),
inference(forward_demodulation,[],[f206,f14]) ).
fof(f206,plain,
! [X16,X17,X15] : least_upper_bound(multiply(positive_part(X15),X16),multiply(X17,X16)) = multiply(positive_part(least_upper_bound(X15,X17)),X16),
inference(forward_demodulation,[],[f205,f100]) ).
fof(f100,plain,
! [X10,X11] : multiply(least_upper_bound(identity,X11),X10) = multiply(positive_part(X11),X10),
inference(backward_demodulation,[],[f80,f99]) ).
fof(f80,plain,
! [X10,X11] : multiply(least_upper_bound(identity,X11),X10) = least_upper_bound(X10,multiply(X11,X10)),
inference(superposition,[],[f14,f1]) ).
fof(f205,plain,
! [X16,X17,X15] : least_upper_bound(multiply(positive_part(X15),X16),multiply(X17,X16)) = multiply(least_upper_bound(identity,least_upper_bound(X15,X17)),X16),
inference(forward_demodulation,[],[f188,f7]) ).
fof(f188,plain,
! [X16,X17,X15] : least_upper_bound(multiply(positive_part(X15),X16),multiply(X17,X16)) = multiply(least_upper_bound(least_upper_bound(identity,X15),X17),X16),
inference(superposition,[],[f14,f100]) ).
fof(f1357,plain,
! [X10,X11] : multiply(least_upper_bound(positive_part(X10),X11),inverse(X10)) = least_upper_bound(inverse(X10),positive_part(multiply(X11,inverse(X10)))),
inference(forward_demodulation,[],[f1346,f982]) ).
fof(f982,plain,
! [X10,X11] : least_upper_bound(positive_part(X10),multiply(X11,X10)) = least_upper_bound(X10,positive_part(multiply(X11,X10))),
inference(forward_demodulation,[],[f981,f799]) ).
fof(f799,plain,
! [X38,X37] : multiply(positive_part(least_upper_bound(inverse(X37),X38)),X37) = least_upper_bound(X37,positive_part(multiply(X38,X37))),
inference(backward_demodulation,[],[f764,f786]) ).
fof(f764,plain,
! [X38,X37] : multiply(positive_part(least_upper_bound(inverse(X37),X38)),X37) = least_upper_bound(X37,least_upper_bound(identity,multiply(X38,X37))),
inference(superposition,[],[f99,f665]) ).
fof(f981,plain,
! [X10,X11] : multiply(positive_part(least_upper_bound(inverse(X10),X11)),X10) = least_upper_bound(positive_part(X10),multiply(X11,X10)),
inference(forward_demodulation,[],[f963,f207]) ).
fof(f963,plain,
! [X10,X11] : least_upper_bound(positive_part(X10),multiply(X11,X10)) = multiply(least_upper_bound(positive_part(inverse(X10)),X11),X10),
inference(superposition,[],[f14,f686]) ).
fof(f1346,plain,
! [X10,X11] : multiply(least_upper_bound(positive_part(X10),X11),inverse(X10)) = least_upper_bound(positive_part(inverse(X10)),multiply(X11,inverse(X10))),
inference(superposition,[],[f14,f955]) ).
fof(f1360,plain,
! [X12,X13] : least_upper_bound(inverse(X12),positive_part(multiply(X13,inverse(X12)))) = multiply(least_upper_bound(X13,positive_part(X12)),inverse(X12)),
inference(forward_demodulation,[],[f1359,f982]) ).
fof(f1359,plain,
! [X12,X13] : least_upper_bound(positive_part(inverse(X12)),multiply(X13,inverse(X12))) = multiply(least_upper_bound(X13,positive_part(X12)),inverse(X12)),
inference(forward_demodulation,[],[f1347,f5]) ).
fof(f1347,plain,
! [X12,X13] : least_upper_bound(multiply(X13,inverse(X12)),positive_part(inverse(X12))) = multiply(least_upper_bound(X13,positive_part(X12)),inverse(X12)),
inference(superposition,[],[f14,f955]) ).
fof(f4586,plain,
( spl0_28
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f4582,f4517,f4584]) ).
fof(f4584,plain,
( spl0_28
<=> ! [X22,X21,X23] : multiply(positive_part(least_upper_bound(X21,multiply(X22,X23))),inverse(X21)) = positive_part(multiply(positive_part(multiply(X22,X23)),inverse(X21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f4517,plain,
( spl0_14
<=> ! [X22,X21,X23] : least_upper_bound(X21,positive_part(multiply(X22,multiply(X23,X21)))) = positive_part(multiply(positive_part(multiply(X22,X23)),X21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f4582,plain,
( ! [X21,X22,X23] : multiply(positive_part(least_upper_bound(X21,multiply(X22,X23))),inverse(X21)) = positive_part(multiply(positive_part(multiply(X22,X23)),inverse(X21)))
| ~ spl0_14 ),
inference(backward_demodulation,[],[f1365,f4518]) ).
fof(f4518,plain,
( ! [X21,X22,X23] : least_upper_bound(X21,positive_part(multiply(X22,multiply(X23,X21)))) = positive_part(multiply(positive_part(multiply(X22,X23)),X21))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f4517]) ).
fof(f1365,plain,
! [X21,X22,X23] : multiply(positive_part(least_upper_bound(X21,multiply(X22,X23))),inverse(X21)) = least_upper_bound(inverse(X21),positive_part(multiply(X22,multiply(X23,inverse(X21))))),
inference(forward_demodulation,[],[f1364,f986]) ).
fof(f986,plain,
! [X21,X22,X23] : least_upper_bound(X21,positive_part(multiply(X22,multiply(X23,X21)))) = least_upper_bound(positive_part(X21),multiply(X22,multiply(X23,X21))),
inference(forward_demodulation,[],[f985,f3]) ).
fof(f985,plain,
! [X21,X22,X23] : least_upper_bound(X21,positive_part(multiply(multiply(X22,X23),X21))) = least_upper_bound(positive_part(X21),multiply(X22,multiply(X23,X21))),
inference(backward_demodulation,[],[f977,f984]) ).
fof(f984,plain,
! [X12,X13] : multiply(least_upper_bound(X13,positive_part(inverse(X12))),X12) = least_upper_bound(X12,positive_part(multiply(X13,X12))),
inference(forward_demodulation,[],[f983,f982]) ).
fof(f983,plain,
! [X12,X13] : multiply(least_upper_bound(X13,positive_part(inverse(X12))),X12) = least_upper_bound(positive_part(X12),multiply(X13,X12)),
inference(forward_demodulation,[],[f964,f5]) ).
fof(f964,plain,
! [X12,X13] : multiply(least_upper_bound(X13,positive_part(inverse(X12))),X12) = least_upper_bound(multiply(X13,X12),positive_part(X12)),
inference(superposition,[],[f14,f686]) ).
fof(f977,plain,
! [X21,X22,X23] : multiply(least_upper_bound(multiply(X22,X23),positive_part(inverse(X21))),X21) = least_upper_bound(positive_part(X21),multiply(X22,multiply(X23,X21))),
inference(forward_demodulation,[],[f968,f5]) ).
fof(f968,plain,
! [X21,X22,X23] : least_upper_bound(multiply(X22,multiply(X23,X21)),positive_part(X21)) = multiply(least_upper_bound(multiply(X22,X23),positive_part(inverse(X21))),X21),
inference(superposition,[],[f53,f686]) ).
fof(f1364,plain,
! [X21,X22,X23] : multiply(positive_part(least_upper_bound(X21,multiply(X22,X23))),inverse(X21)) = least_upper_bound(positive_part(inverse(X21)),multiply(X22,multiply(X23,inverse(X21)))),
inference(forward_demodulation,[],[f1363,f5]) ).
fof(f1363,plain,
! [X21,X22,X23] : least_upper_bound(multiply(X22,multiply(X23,inverse(X21))),positive_part(inverse(X21))) = multiply(positive_part(least_upper_bound(X21,multiply(X22,X23))),inverse(X21)),
inference(forward_demodulation,[],[f1351,f1361]) ).
fof(f1351,plain,
! [X21,X22,X23] : least_upper_bound(multiply(X22,multiply(X23,inverse(X21))),positive_part(inverse(X21))) = multiply(least_upper_bound(multiply(X22,X23),positive_part(X21)),inverse(X21)),
inference(superposition,[],[f53,f955]) ).
fof(f4581,plain,
( spl0_27
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f4564,f4490,f4579]) ).
fof(f4579,plain,
( spl0_27
<=> ! [X38,X37] : multiply(positive_part(least_upper_bound(inverse(X37),X38)),X37) = positive_part(multiply(positive_part(X38),X37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f4564,plain,
( ! [X38,X37] : multiply(positive_part(least_upper_bound(inverse(X37),X38)),X37) = positive_part(multiply(positive_part(X38),X37))
| ~ spl0_8 ),
inference(backward_demodulation,[],[f799,f4491]) ).
fof(f4577,plain,
( spl0_26
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f4563,f4490,f4575]) ).
fof(f4575,plain,
( spl0_26
<=> ! [X13,X12] : multiply(least_upper_bound(X13,positive_part(inverse(X12))),X12) = positive_part(multiply(positive_part(X13),X12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f4563,plain,
( ! [X12,X13] : multiply(least_upper_bound(X13,positive_part(inverse(X12))),X12) = positive_part(multiply(positive_part(X13),X12))
| ~ spl0_8 ),
inference(backward_demodulation,[],[f984,f4491]) ).
fof(f4573,plain,
( spl0_25
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f4565,f4490,f4571]) ).
fof(f4565,plain,
( ! [X10,X11] : multiply(positive_part(least_upper_bound(X10,X11)),inverse(X10)) = positive_part(multiply(positive_part(X11),inverse(X10)))
| ~ spl0_8 ),
inference(backward_demodulation,[],[f1358,f4491]) ).
fof(f4569,plain,
( spl0_24
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f4562,f4490,f4567]) ).
fof(f4567,plain,
( spl0_24
<=> ! [X38,X39] : multiply(positive_part(least_upper_bound(X38,inverse(X39))),X39) = positive_part(multiply(positive_part(X38),X39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f4562,plain,
( ! [X38,X39] : multiply(positive_part(least_upper_bound(X38,inverse(X39))),X39) = positive_part(multiply(positive_part(X38),X39))
| ~ spl0_8 ),
inference(backward_demodulation,[],[f1095,f4491]) ).
fof(f1095,plain,
! [X38,X39] : least_upper_bound(X39,positive_part(multiply(X38,X39))) = multiply(positive_part(least_upper_bound(X38,inverse(X39))),X39),
inference(superposition,[],[f99,f792]) ).
fof(f792,plain,
! [X12,X13] : positive_part(multiply(X13,X12)) = multiply(least_upper_bound(X13,inverse(X12)),X12),
inference(backward_demodulation,[],[f678,f786]) ).
fof(f678,plain,
! [X12,X13] : least_upper_bound(identity,multiply(X13,X12)) = multiply(least_upper_bound(X13,inverse(X12)),X12),
inference(forward_demodulation,[],[f666,f5]) ).
fof(f666,plain,
! [X12,X13] : multiply(least_upper_bound(X13,inverse(X12)),X12) = least_upper_bound(multiply(X13,X12),identity),
inference(superposition,[],[f14,f2]) ).
fof(f4560,plain,
( spl0_23
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4556,f4426,f4558]) ).
fof(f4558,plain,
( spl0_23
<=> ! [X6,X5] : positive_part(multiply(inverse(X5),positive_part(X6))) = multiply(inverse(X5),least_upper_bound(X6,positive_part(X5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f4556,plain,
( ! [X6,X5] : positive_part(multiply(inverse(X5),positive_part(X6))) = multiply(inverse(X5),least_upper_bound(X6,positive_part(X5)))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4475,f836]) ).
fof(f4475,plain,
( ! [X6,X5] : multiply(inverse(X5),least_upper_bound(X6,positive_part(X5))) = positive_part(least_upper_bound(inverse(X5),multiply(inverse(X5),X6)))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1793,f4427]) ).
fof(f1793,plain,
! [X6,X5] : least_upper_bound(positive_part(inverse(X5)),multiply(inverse(X5),X6)) = multiply(inverse(X5),least_upper_bound(X6,positive_part(X5))),
inference(forward_demodulation,[],[f1778,f5]) ).
fof(f1778,plain,
! [X6,X5] : multiply(inverse(X5),least_upper_bound(X6,positive_part(X5))) = least_upper_bound(multiply(inverse(X5),X6),positive_part(inverse(X5))),
inference(superposition,[],[f12,f1669]) ).
fof(f4554,plain,
( spl0_22
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4476,f4426,f4552]) ).
fof(f4552,plain,
( spl0_22
<=> ! [X13,X14] : multiply(least_upper_bound(X14,inverse(X13)),positive_part(X13)) = positive_part(least_upper_bound(inverse(X13),multiply(X14,positive_part(X13)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f4476,plain,
( ! [X14,X13] : multiply(least_upper_bound(X14,inverse(X13)),positive_part(X13)) = positive_part(least_upper_bound(inverse(X13),multiply(X14,positive_part(X13))))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1797,f4427]) ).
fof(f1797,plain,
! [X14,X13] : multiply(least_upper_bound(X14,inverse(X13)),positive_part(X13)) = least_upper_bound(positive_part(inverse(X13)),multiply(X14,positive_part(X13))),
inference(forward_demodulation,[],[f1782,f5]) ).
fof(f1782,plain,
! [X14,X13] : multiply(least_upper_bound(X14,inverse(X13)),positive_part(X13)) = least_upper_bound(multiply(X14,positive_part(X13)),positive_part(inverse(X13))),
inference(superposition,[],[f14,f1669]) ).
fof(f4550,plain,
( spl0_21
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4474,f4426,f4548]) ).
fof(f4548,plain,
( spl0_21
<=> ! [X2,X3] : positive_part(least_upper_bound(inverse(X2),multiply(positive_part(X2),X3))) = multiply(positive_part(X2),least_upper_bound(inverse(X2),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f4474,plain,
( ! [X2,X3] : positive_part(least_upper_bound(inverse(X2),multiply(positive_part(X2),X3))) = multiply(positive_part(X2),least_upper_bound(inverse(X2),X3))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1342,f4427]) ).
fof(f1342,plain,
! [X2,X3] : multiply(positive_part(X2),least_upper_bound(inverse(X2),X3)) = least_upper_bound(positive_part(inverse(X2)),multiply(positive_part(X2),X3)),
inference(superposition,[],[f12,f955]) ).
fof(f4546,plain,
( spl0_20
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4465,f4426,f4544]) ).
fof(f4544,plain,
( spl0_20
<=> ! [X6,X4,X5] : positive_part(least_upper_bound(multiply(X4,X5),multiply(least_upper_bound(X4,inverse(X5)),X6))) = multiply(least_upper_bound(X4,inverse(X5)),least_upper_bound(X5,X6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f4465,plain,
( ! [X6,X4,X5] : positive_part(least_upper_bound(multiply(X4,X5),multiply(least_upper_bound(X4,inverse(X5)),X6))) = multiply(least_upper_bound(X4,inverse(X5)),least_upper_bound(X5,X6))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1084,f4427]) ).
fof(f1084,plain,
! [X6,X4,X5] : multiply(least_upper_bound(X4,inverse(X5)),least_upper_bound(X5,X6)) = least_upper_bound(positive_part(multiply(X4,X5)),multiply(least_upper_bound(X4,inverse(X5)),X6)),
inference(superposition,[],[f12,f792]) ).
fof(f4542,plain,
( spl0_19
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4538,f4426,f4540]) ).
fof(f4540,plain,
( spl0_19
<=> ! [X22] : multiply(positive_part(X22),positive_part(inverse(X22))) = least_upper_bound(X22,positive_part(inverse(X22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f4538,plain,
( ! [X22] : multiply(positive_part(X22),positive_part(inverse(X22))) = least_upper_bound(X22,positive_part(inverse(X22)))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4481,f4365]) ).
fof(f4365,plain,
! [X21,X22] : positive_part(least_upper_bound(X21,positive_part(X22))) = least_upper_bound(X21,positive_part(X22)),
inference(forward_demodulation,[],[f4347,f19]) ).
fof(f4347,plain,
! [X21,X22] : least_upper_bound(X21,positive_part(X22)) = least_upper_bound(least_upper_bound(X21,positive_part(X22)),identity),
inference(superposition,[],[f1820,f4317]) ).
fof(f4317,plain,
! [X18,X17] : identity = negative_part(least_upper_bound(X18,positive_part(X17))),
inference(forward_demodulation,[],[f4282,f1882]) ).
fof(f4282,plain,
! [X18,X17] : negative_part(positive_part(X17)) = negative_part(least_upper_bound(X18,positive_part(X17))),
inference(superposition,[],[f4022,f1861]) ).
fof(f4481,plain,
( ! [X22] : positive_part(least_upper_bound(X22,positive_part(inverse(X22)))) = multiply(positive_part(X22),positive_part(inverse(X22)))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1648,f4427]) ).
fof(f1648,plain,
! [X22] : least_upper_bound(positive_part(X22),positive_part(inverse(X22))) = multiply(positive_part(X22),positive_part(inverse(X22))),
inference(superposition,[],[f836,f955]) ).
fof(f4537,plain,
( spl0_18
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4478,f4426,f4535]) ).
fof(f4535,plain,
( spl0_18
<=> ! [X20,X19] : multiply(least_upper_bound(X19,inverse(X20)),positive_part(X20)) = positive_part(least_upper_bound(multiply(X19,X20),least_upper_bound(X19,inverse(X20)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f4478,plain,
( ! [X19,X20] : multiply(least_upper_bound(X19,inverse(X20)),positive_part(X20)) = positive_part(least_upper_bound(multiply(X19,X20),least_upper_bound(X19,inverse(X20))))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1667,f4427]) ).
fof(f1667,plain,
! [X19,X20] : multiply(least_upper_bound(X19,inverse(X20)),positive_part(X20)) = least_upper_bound(positive_part(multiply(X19,X20)),least_upper_bound(X19,inverse(X20))),
inference(forward_demodulation,[],[f1646,f5]) ).
fof(f1646,plain,
! [X19,X20] : multiply(least_upper_bound(X19,inverse(X20)),positive_part(X20)) = least_upper_bound(least_upper_bound(X19,inverse(X20)),positive_part(multiply(X19,X20))),
inference(superposition,[],[f836,f792]) ).
fof(f4533,plain,
( spl0_17
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4477,f4426,f4531]) ).
fof(f4531,plain,
( spl0_17
<=> ! [X22,X24,X23] : multiply(least_upper_bound(multiply(X23,X24),inverse(X22)),positive_part(X22)) = positive_part(least_upper_bound(inverse(X22),multiply(X23,multiply(X24,positive_part(X22))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f4477,plain,
( ! [X24,X22,X23] : multiply(least_upper_bound(multiply(X23,X24),inverse(X22)),positive_part(X22)) = positive_part(least_upper_bound(inverse(X22),multiply(X23,multiply(X24,positive_part(X22)))))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1807,f4427]) ).
fof(f1807,plain,
! [X24,X22,X23] : multiply(least_upper_bound(multiply(X23,X24),inverse(X22)),positive_part(X22)) = least_upper_bound(positive_part(inverse(X22)),multiply(X23,multiply(X24,positive_part(X22)))),
inference(forward_demodulation,[],[f1786,f5]) ).
fof(f1786,plain,
! [X24,X22,X23] : multiply(least_upper_bound(multiply(X23,X24),inverse(X22)),positive_part(X22)) = least_upper_bound(multiply(X23,multiply(X24,positive_part(X22))),positive_part(inverse(X22))),
inference(superposition,[],[f53,f1669]) ).
fof(f4529,plain,
( spl0_16
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4471,f4426,f4527]) ).
fof(f4527,plain,
( spl0_16
<=> ! [X13,X12] : multiply(least_upper_bound(X13,X12),positive_part(inverse(X12))) = positive_part(least_upper_bound(X12,multiply(X13,positive_part(inverse(X12))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f4471,plain,
( ! [X12,X13] : multiply(least_upper_bound(X13,X12),positive_part(inverse(X12))) = positive_part(least_upper_bound(X12,multiply(X13,positive_part(inverse(X12)))))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1732,f4427]) ).
fof(f1732,plain,
! [X12,X13] : least_upper_bound(positive_part(X12),multiply(X13,positive_part(inverse(X12)))) = multiply(least_upper_bound(X13,X12),positive_part(inverse(X12))),
inference(forward_demodulation,[],[f1711,f5]) ).
fof(f1711,plain,
! [X12,X13] : multiply(least_upper_bound(X13,X12),positive_part(inverse(X12))) = least_upper_bound(multiply(X13,positive_part(inverse(X12))),positive_part(X12)),
inference(superposition,[],[f14,f1684]) ).
fof(f4525,plain,
( spl0_15
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4521,f4426,f4523]) ).
fof(f4523,plain,
( spl0_15
<=> ! [X2,X3] : positive_part(multiply(X2,positive_part(X3))) = multiply(X2,positive_part(least_upper_bound(inverse(X2),X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f4521,plain,
( ! [X2,X3] : positive_part(multiply(X2,positive_part(X3))) = multiply(X2,positive_part(least_upper_bound(inverse(X2),X3)))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4520,f836]) ).
fof(f4520,plain,
( ! [X2,X3] : multiply(X2,positive_part(least_upper_bound(inverse(X2),X3))) = positive_part(least_upper_bound(X2,multiply(X2,X3)))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4463,f4427]) ).
fof(f4463,plain,
( ! [X2,X3] : least_upper_bound(positive_part(X2),multiply(X2,X3)) = multiply(X2,positive_part(least_upper_bound(inverse(X2),X3)))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1706,f4427]) ).
fof(f1706,plain,
! [X2,X3] : least_upper_bound(positive_part(X2),multiply(X2,X3)) = multiply(X2,least_upper_bound(positive_part(inverse(X2)),X3)),
inference(superposition,[],[f12,f1684]) ).
fof(f4519,plain,
( spl0_14
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4515,f4426,f4517]) ).
fof(f4515,plain,
( ! [X21,X22,X23] : least_upper_bound(X21,positive_part(multiply(X22,multiply(X23,X21)))) = positive_part(multiply(positive_part(multiply(X22,X23)),X21))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4469,f102]) ).
fof(f102,plain,
! [X21,X22,X23] : multiply(positive_part(multiply(X22,X23)),X21) = least_upper_bound(X21,multiply(X22,multiply(X23,X21))),
inference(backward_demodulation,[],[f91,f100]) ).
fof(f91,plain,
! [X21,X22,X23] : least_upper_bound(X21,multiply(X22,multiply(X23,X21))) = multiply(least_upper_bound(identity,multiply(X22,X23)),X21),
inference(forward_demodulation,[],[f90,f5]) ).
fof(f90,plain,
! [X21,X22,X23] : least_upper_bound(multiply(X22,multiply(X23,X21)),X21) = multiply(least_upper_bound(identity,multiply(X22,X23)),X21),
inference(forward_demodulation,[],[f85,f5]) ).
fof(f85,plain,
! [X21,X22,X23] : least_upper_bound(multiply(X22,multiply(X23,X21)),X21) = multiply(least_upper_bound(multiply(X22,X23),identity),X21),
inference(superposition,[],[f53,f1]) ).
fof(f4469,plain,
( ! [X21,X22,X23] : least_upper_bound(X21,positive_part(multiply(X22,multiply(X23,X21)))) = positive_part(least_upper_bound(X21,multiply(X22,multiply(X23,X21))))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f986,f4427]) ).
fof(f4514,plain,
( spl0_13
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4462,f4426,f4512]) ).
fof(f4512,plain,
( spl0_13
<=> ! [X4,X3] : least_upper_bound(X3,multiply(inverse(positive_part(inverse(X3))),X4)) = multiply(inverse(positive_part(inverse(X3))),positive_part(least_upper_bound(X3,X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f4462,plain,
( ! [X3,X4] : least_upper_bound(X3,multiply(inverse(positive_part(inverse(X3))),X4)) = multiply(inverse(positive_part(inverse(X3))),positive_part(least_upper_bound(X3,X4)))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1378,f4427]) ).
fof(f1378,plain,
! [X3,X4] : least_upper_bound(X3,multiply(inverse(positive_part(inverse(X3))),X4)) = multiply(inverse(positive_part(inverse(X3))),least_upper_bound(positive_part(X3),X4)),
inference(superposition,[],[f12,f972]) ).
fof(f4510,plain,
( spl0_12
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4470,f4426,f4508]) ).
fof(f4508,plain,
( spl0_12
<=> ! [X22,X21,X23] : positive_part(least_upper_bound(X21,multiply(X22,multiply(X23,positive_part(inverse(X21)))))) = multiply(least_upper_bound(multiply(X22,X23),X21),positive_part(inverse(X21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f4470,plain,
( ! [X21,X22,X23] : positive_part(least_upper_bound(X21,multiply(X22,multiply(X23,positive_part(inverse(X21)))))) = multiply(least_upper_bound(multiply(X22,X23),X21),positive_part(inverse(X21)))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1726,f4427]) ).
fof(f1726,plain,
! [X21,X22,X23] : least_upper_bound(positive_part(X21),multiply(X22,multiply(X23,positive_part(inverse(X21))))) = multiply(least_upper_bound(multiply(X22,X23),X21),positive_part(inverse(X21))),
inference(forward_demodulation,[],[f1715,f5]) ).
fof(f1715,plain,
! [X21,X22,X23] : multiply(least_upper_bound(multiply(X22,X23),X21),positive_part(inverse(X21))) = least_upper_bound(multiply(X22,multiply(X23,positive_part(inverse(X21)))),positive_part(X21)),
inference(superposition,[],[f53,f1684]) ).
fof(f4506,plain,
( spl0_11
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4472,f4426,f4504]) ).
fof(f4504,plain,
( spl0_11
<=> ! [X2,X3] : positive_part(least_upper_bound(X2,multiply(positive_part(inverse(X2)),X3))) = multiply(positive_part(inverse(X2)),least_upper_bound(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f4472,plain,
( ! [X2,X3] : positive_part(least_upper_bound(X2,multiply(positive_part(inverse(X2)),X3))) = multiply(positive_part(inverse(X2)),least_upper_bound(X2,X3))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f959,f4427]) ).
fof(f959,plain,
! [X2,X3] : least_upper_bound(positive_part(X2),multiply(positive_part(inverse(X2)),X3)) = multiply(positive_part(inverse(X2)),least_upper_bound(X2,X3)),
inference(superposition,[],[f12,f686]) ).
fof(f4501,plain,
( spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4497,f4426,f4499]) ).
fof(f4499,plain,
( spl0_10
<=> ! [X21] : least_upper_bound(X21,positive_part(inverse(X21))) = multiply(positive_part(inverse(X21)),positive_part(X21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f4497,plain,
( ! [X21] : least_upper_bound(X21,positive_part(inverse(X21))) = multiply(positive_part(inverse(X21)),positive_part(X21))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4480,f4365]) ).
fof(f4480,plain,
( ! [X21] : positive_part(least_upper_bound(X21,positive_part(inverse(X21)))) = multiply(positive_part(inverse(X21)),positive_part(X21))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1688,f4427]) ).
fof(f1688,plain,
! [X21] : multiply(positive_part(inverse(X21)),positive_part(X21)) = least_upper_bound(positive_part(X21),positive_part(inverse(X21))),
inference(forward_demodulation,[],[f1647,f5]) ).
fof(f1647,plain,
! [X21] : least_upper_bound(positive_part(inverse(X21)),positive_part(X21)) = multiply(positive_part(inverse(X21)),positive_part(X21)),
inference(superposition,[],[f836,f686]) ).
fof(f4496,plain,
( spl0_9
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4479,f4426,f4494]) ).
fof(f4494,plain,
( spl0_9
<=> ! [X18,X17] : multiply(least_upper_bound(inverse(X17),X18),positive_part(X17)) = positive_part(least_upper_bound(multiply(X18,X17),least_upper_bound(inverse(X17),X18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f4479,plain,
( ! [X18,X17] : multiply(least_upper_bound(inverse(X17),X18),positive_part(X17)) = positive_part(least_upper_bound(multiply(X18,X17),least_upper_bound(inverse(X17),X18)))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1672,f4427]) ).
fof(f1672,plain,
! [X18,X17] : multiply(least_upper_bound(inverse(X17),X18),positive_part(X17)) = least_upper_bound(positive_part(multiply(X18,X17)),least_upper_bound(inverse(X17),X18)),
inference(forward_demodulation,[],[f1645,f5]) ).
fof(f1645,plain,
! [X18,X17] : least_upper_bound(least_upper_bound(inverse(X17),X18),positive_part(multiply(X18,X17))) = multiply(least_upper_bound(inverse(X17),X18),positive_part(X17)),
inference(superposition,[],[f836,f790]) ).
fof(f4492,plain,
( spl0_8
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4488,f4426,f4490]) ).
fof(f4488,plain,
( ! [X10,X11] : positive_part(multiply(positive_part(X11),X10)) = least_upper_bound(X10,positive_part(multiply(X11,X10)))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4468,f99]) ).
fof(f4468,plain,
( ! [X10,X11] : positive_part(least_upper_bound(X10,multiply(X11,X10))) = least_upper_bound(X10,positive_part(multiply(X11,X10)))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f982,f4427]) ).
fof(f4487,plain,
( spl0_7
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f4483,f4426,f4485]) ).
fof(f4485,plain,
( spl0_7
<=> ! [X4,X5] : multiply(X4,least_upper_bound(X5,positive_part(inverse(X4)))) = positive_part(multiply(X4,positive_part(X5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f4483,plain,
( ! [X4,X5] : multiply(X4,least_upper_bound(X5,positive_part(inverse(X4)))) = positive_part(multiply(X4,positive_part(X5)))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f4473,f836]) ).
fof(f4473,plain,
( ! [X4,X5] : multiply(X4,least_upper_bound(X5,positive_part(inverse(X4)))) = positive_part(least_upper_bound(X4,multiply(X4,X5)))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f1735,f4427]) ).
fof(f1735,plain,
! [X4,X5] : multiply(X4,least_upper_bound(X5,positive_part(inverse(X4)))) = least_upper_bound(positive_part(X4),multiply(X4,X5)),
inference(forward_demodulation,[],[f1707,f5]) ).
fof(f1707,plain,
! [X4,X5] : multiply(X4,least_upper_bound(X5,positive_part(inverse(X4)))) = least_upper_bound(multiply(X4,X5),positive_part(X4)),
inference(superposition,[],[f12,f1684]) ).
fof(f4454,plain,
spl0_5,
inference(avatar_split_clause,[],[f4453,f4426]) ).
fof(f4453,plain,
! [X11,X12] : positive_part(least_upper_bound(X11,X12)) = least_upper_bound(positive_part(X11),X12),
inference(forward_demodulation,[],[f4452,f1]) ).
fof(f4452,plain,
! [X11,X12] : multiply(identity,least_upper_bound(positive_part(X11),X12)) = positive_part(least_upper_bound(X11,X12)),
inference(forward_demodulation,[],[f4451,f726]) ).
fof(f4451,plain,
! [X11,X12] : multiply(identity,least_upper_bound(positive_part(X11),X12)) = multiply(positive_part(least_upper_bound(X11,X12)),identity),
inference(forward_demodulation,[],[f4405,f207]) ).
fof(f4405,plain,
! [X11,X12] : multiply(identity,least_upper_bound(positive_part(X11),X12)) = multiply(least_upper_bound(positive_part(X11),X12),identity),
inference(superposition,[],[f856,f4319]) ).
fof(f4449,plain,
spl0_6,
inference(avatar_split_clause,[],[f4448,f4433]) ).
fof(f4433,plain,
( spl0_6
<=> ! [X34,X33] : negative_part(inverse(least_upper_bound(positive_part(X33),X34))) = inverse(least_upper_bound(positive_part(X33),X34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f4448,plain,
! [X10,X9] : inverse(least_upper_bound(positive_part(X9),X10)) = negative_part(inverse(least_upper_bound(positive_part(X9),X10))),
inference(forward_demodulation,[],[f4404,f726]) ).
fof(f4404,plain,
! [X10,X9] : multiply(inverse(least_upper_bound(positive_part(X9),X10)),identity) = negative_part(inverse(least_upper_bound(positive_part(X9),X10))),
inference(superposition,[],[f729,f4319]) ).
fof(f4447,plain,
( spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4446,f30,f4433]) ).
fof(f4446,plain,
( ! [X19,X20] : negative_part(inverse(least_upper_bound(positive_part(X19),X20))) = inverse(least_upper_bound(positive_part(X19),X20))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4445,f1]) ).
fof(f4445,plain,
( ! [X19,X20] : multiply(identity,negative_part(inverse(least_upper_bound(positive_part(X19),X20)))) = inverse(least_upper_bound(positive_part(X19),X20))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4409,f32]) ).
fof(f4409,plain,
! [X19,X20] : multiply(inverse(identity),negative_part(inverse(least_upper_bound(positive_part(X19),X20)))) = inverse(least_upper_bound(positive_part(X19),X20)),
inference(superposition,[],[f1291,f4319]) ).
fof(f4437,plain,
spl0_6,
inference(avatar_split_clause,[],[f4436,f4433]) ).
fof(f4436,plain,
! [X14,X13] : inverse(least_upper_bound(positive_part(X13),X14)) = negative_part(inverse(least_upper_bound(positive_part(X13),X14))),
inference(forward_demodulation,[],[f4406,f1]) ).
fof(f4406,plain,
! [X14,X13] : multiply(identity,inverse(least_upper_bound(positive_part(X13),X14))) = negative_part(inverse(least_upper_bound(positive_part(X13),X14))),
inference(superposition,[],[f925,f4319]) ).
fof(f4435,plain,
( spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4431,f30,f4433]) ).
fof(f4431,plain,
( ! [X34,X33] : negative_part(inverse(least_upper_bound(positive_part(X33),X34))) = inverse(least_upper_bound(positive_part(X33),X34))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4430,f843]) ).
fof(f4430,plain,
( ! [X34,X33] : inverse(least_upper_bound(positive_part(X33),X34)) = greatest_lower_bound(identity,inverse(least_upper_bound(positive_part(X33),X34)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4429,f32]) ).
fof(f4429,plain,
! [X34,X33] : inverse(least_upper_bound(positive_part(X33),X34)) = greatest_lower_bound(inverse(identity),inverse(least_upper_bound(positive_part(X33),X34))),
inference(forward_demodulation,[],[f4416,f4]) ).
fof(f4416,plain,
! [X34,X33] : greatest_lower_bound(inverse(least_upper_bound(positive_part(X33),X34)),inverse(identity)) = inverse(least_upper_bound(positive_part(X33),X34)),
inference(superposition,[],[f2252,f4319]) ).
fof(f4428,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4424,f30,f4426]) ).
fof(f4424,plain,
( ! [X18,X17] : positive_part(least_upper_bound(X17,X18)) = least_upper_bound(positive_part(X17),X18)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4423,f1]) ).
fof(f4423,plain,
( ! [X18,X17] : least_upper_bound(positive_part(X17),X18) = positive_part(multiply(identity,least_upper_bound(X17,X18)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f4422,f32]) ).
fof(f4422,plain,
! [X18,X17] : least_upper_bound(positive_part(X17),X18) = positive_part(multiply(inverse(identity),least_upper_bound(X17,X18))),
inference(forward_demodulation,[],[f4421,f726]) ).
fof(f4421,plain,
! [X18,X17] : least_upper_bound(positive_part(X17),X18) = positive_part(multiply(inverse(identity),multiply(least_upper_bound(X17,X18),identity))),
inference(forward_demodulation,[],[f4420,f1671]) ).
fof(f1671,plain,
! [X11,X12] : multiply(inverse(X11),multiply(positive_part(X12),X11)) = positive_part(multiply(inverse(X11),multiply(X12,X11))),
inference(forward_demodulation,[],[f1670,f3]) ).
fof(f1670,plain,
! [X11,X12] : positive_part(multiply(multiply(inverse(X11),X12),X11)) = multiply(inverse(X11),multiply(positive_part(X12),X11)),
inference(forward_demodulation,[],[f1662,f3]) ).
fof(f1662,plain,
! [X11,X12] : positive_part(multiply(multiply(inverse(X11),X12),X11)) = multiply(multiply(inverse(X11),positive_part(X12)),X11),
inference(superposition,[],[f790,f836]) ).
fof(f4420,plain,
! [X18,X17] : multiply(inverse(identity),multiply(positive_part(least_upper_bound(X17,X18)),identity)) = least_upper_bound(positive_part(X17),X18),
inference(forward_demodulation,[],[f4408,f207]) ).
fof(f4408,plain,
! [X18,X17] : least_upper_bound(positive_part(X17),X18) = multiply(inverse(identity),multiply(least_upper_bound(positive_part(X17),X18),identity)),
inference(superposition,[],[f1201,f4319]) ).
fof(f1201,plain,
! [X27] : multiply(inverse(negative_part(X27)),multiply(X27,negative_part(X27))) = X27,
inference(superposition,[],[f687,f856]) ).
fof(f133,plain,
spl0_4,
inference(avatar_split_clause,[],[f122,f129]) ).
fof(f129,plain,
( spl0_4
<=> identity = negative_part(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f122,plain,
identity = negative_part(identity),
inference(superposition,[],[f9,f20]) ).
fof(f9,axiom,
! [X0] : greatest_lower_bound(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_gld) ).
fof(f132,plain,
spl0_4,
inference(avatar_split_clause,[],[f125,f129]) ).
fof(f125,plain,
identity = negative_part(identity),
inference(superposition,[],[f20,f9]) ).
fof(f121,plain,
spl0_3,
inference(avatar_split_clause,[],[f110,f117]) ).
fof(f117,plain,
( spl0_3
<=> identity = positive_part(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f110,plain,
identity = positive_part(identity),
inference(superposition,[],[f8,f19]) ).
fof(f8,axiom,
! [X0] : least_upper_bound(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_lub) ).
fof(f120,plain,
spl0_3,
inference(avatar_split_clause,[],[f113,f117]) ).
fof(f113,plain,
identity = positive_part(identity),
inference(superposition,[],[f19,f8]) ).
fof(f33,plain,
spl0_2,
inference(avatar_split_clause,[],[f16,f30]) ).
fof(f16,axiom,
identity = inverse(identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lat4_1) ).
fof(f28,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f23,f25]) ).
fof(f23,axiom,
a != multiply(positive_part(a),negative_part(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lat4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP167-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:20:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.57 % (16753)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.57 % (16733)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.57 % (16745)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.57 % (16761)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.20/0.58 % (16762)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.58 % (16754)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.20/0.59 % (16738)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.59 % (16739)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.72/0.59 % (16737)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.72/0.59 % (16741)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.72/0.59 % (16734)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 1.72/0.60 % (16746)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 1.72/0.60 % (16756)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 1.72/0.61 % (16735)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.72/0.61 % (16748)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 1.72/0.61 % (16752)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 2.05/0.61 % (16739)Instruction limit reached!
% 2.05/0.61 % (16739)------------------------------
% 2.05/0.61 % (16739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.61 % (16739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.61 % (16739)Termination reason: Unknown
% 2.05/0.61 % (16739)Termination phase: Saturation
% 2.05/0.61
% 2.05/0.61 % (16739)Memory used [KB]: 5628
% 2.05/0.61 % (16739)Time elapsed: 0.172 s
% 2.05/0.61 % (16739)Instructions burned: 8 (million)
% 2.05/0.61 % (16739)------------------------------
% 2.05/0.61 % (16739)------------------------------
% 2.05/0.62 % (16734)Instruction limit reached!
% 2.05/0.62 % (16734)------------------------------
% 2.05/0.62 % (16734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62 % (16734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62 % (16734)Termination reason: Unknown
% 2.05/0.62 % (16734)Termination phase: Saturation
% 2.05/0.62
% 2.05/0.62 % (16734)Memory used [KB]: 5628
% 2.05/0.62 % (16734)Time elapsed: 0.141 s
% 2.05/0.62 % (16734)Instructions burned: 11 (million)
% 2.05/0.62 % (16734)------------------------------
% 2.05/0.62 % (16734)------------------------------
% 2.05/0.62 % (16758)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.05/0.62 % (16736)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 2.05/0.62 % (16759)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 2.05/0.62 % (16760)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 2.05/0.62 % (16736)Instruction limit reached!
% 2.05/0.62 % (16736)------------------------------
% 2.05/0.62 % (16736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.62 % (16736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.62 % (16736)Termination reason: Unknown
% 2.05/0.62 % (16736)Termination phase: Saturation
% 2.05/0.62
% 2.05/0.62 % (16736)Memory used [KB]: 5500
% 2.05/0.62 % (16736)Time elapsed: 0.198 s
% 2.05/0.62 % (16736)Instructions burned: 6 (million)
% 2.05/0.62 % (16736)------------------------------
% 2.05/0.62 % (16736)------------------------------
% 2.05/0.62 % (16751)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.05/0.62 % (16743)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 2.05/0.62 % (16742)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 2.05/0.62 % (16750)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 2.05/0.63 % (16747)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 2.05/0.63 % (16757)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 2.05/0.63 % (16740)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 2.05/0.63 % (16744)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 2.05/0.63 % (16755)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 2.05/0.64 % (16738)Instruction limit reached!
% 2.05/0.64 % (16738)------------------------------
% 2.05/0.64 % (16738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.64 % (16738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.64 % (16738)Termination reason: Unknown
% 2.05/0.64 % (16738)Termination phase: Saturation
% 2.05/0.64
% 2.05/0.64 % (16738)Memory used [KB]: 5756
% 2.05/0.64 % (16738)Time elapsed: 0.206 s
% 2.05/0.64 % (16738)Instructions burned: 20 (million)
% 2.05/0.64 % (16738)------------------------------
% 2.05/0.64 % (16738)------------------------------
% 2.05/0.64 % (16749)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 2.34/0.66 % (16762)Instruction limit reached!
% 2.34/0.66 % (16762)------------------------------
% 2.34/0.66 % (16762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.68 % (16762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.68 % (16741)Instruction limit reached!
% 2.34/0.68 % (16741)------------------------------
% 2.34/0.68 % (16741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.68 % (16741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.68 % (16741)Termination reason: Unknown
% 2.34/0.68 % (16741)Termination phase: Saturation
% 2.34/0.68
% 2.34/0.68 % (16741)Memory used [KB]: 10874
% 2.34/0.68 % (16741)Time elapsed: 0.262 s
% 2.34/0.68 % (16741)Instructions burned: 37 (million)
% 2.34/0.68 % (16741)------------------------------
% 2.34/0.68 % (16741)------------------------------
% 2.34/0.68 % (16762)Termination reason: Unknown
% 2.34/0.68 % (16762)Termination phase: Saturation
% 2.34/0.68
% 2.34/0.68 % (16762)Memory used [KB]: 6268
% 2.34/0.68 % (16762)Time elapsed: 0.239 s
% 2.34/0.68 % (16762)Instructions burned: 48 (million)
% 2.34/0.68 % (16762)------------------------------
% 2.34/0.68 % (16762)------------------------------
% 2.34/0.69 % (16735)Instruction limit reached!
% 2.34/0.69 % (16735)------------------------------
% 2.34/0.69 % (16735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69 % (16735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69 % (16735)Termination reason: Unknown
% 2.34/0.69 % (16735)Termination phase: Saturation
% 2.34/0.69
% 2.34/0.69 % (16735)Memory used [KB]: 6780
% 2.34/0.69 % (16735)Time elapsed: 0.229 s
% 2.34/0.69 % (16735)Instructions burned: 38 (million)
% 2.34/0.69 % (16735)------------------------------
% 2.34/0.69 % (16735)------------------------------
% 2.34/0.69 % (16740)Instruction limit reached!
% 2.34/0.69 % (16740)------------------------------
% 2.34/0.69 % (16740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69 % (16740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69 % (16740)Termination reason: Unknown
% 2.34/0.69 % (16740)Termination phase: Saturation
% 2.34/0.69
% 2.34/0.69 % (16740)Memory used [KB]: 6012
% 2.34/0.69 % (16740)Time elapsed: 0.217 s
% 2.34/0.69 % (16740)Instructions burned: 33 (million)
% 2.34/0.69 % (16740)------------------------------
% 2.34/0.69 % (16740)------------------------------
% 2.34/0.70 % (16737)Instruction limit reached!
% 2.34/0.70 % (16737)------------------------------
% 2.34/0.70 % (16737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.70 % (16737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.70 % (16737)Termination reason: Unknown
% 2.34/0.70 % (16737)Termination phase: Saturation
% 2.34/0.70
% 2.34/0.70 % (16737)Memory used [KB]: 6012
% 2.34/0.70 % (16737)Time elapsed: 0.280 s
% 2.34/0.70 % (16737)Instructions burned: 49 (million)
% 2.34/0.70 % (16737)------------------------------
% 2.34/0.70 % (16737)------------------------------
% 2.34/0.70 % (16743)Instruction limit reached!
% 2.34/0.70 % (16743)------------------------------
% 2.34/0.70 % (16743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.70 % (16743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.70 % (16743)Termination reason: Unknown
% 2.34/0.70 % (16743)Termination phase: Saturation
% 2.34/0.70
% 2.34/0.70 % (16743)Memory used [KB]: 6780
% 2.34/0.70 % (16743)Time elapsed: 0.252 s
% 2.34/0.70 % (16743)Instructions burned: 39 (million)
% 2.34/0.70 % (16743)------------------------------
% 2.34/0.70 % (16743)------------------------------
% 2.34/0.71 % (16744)Instruction limit reached!
% 2.34/0.71 % (16744)------------------------------
% 2.34/0.71 % (16744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.71 % (16744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.71 % (16744)Termination reason: Unknown
% 2.34/0.71 % (16744)Termination phase: Saturation
% 2.34/0.71
% 2.34/0.71 % (16744)Memory used [KB]: 6268
% 2.34/0.71 % (16744)Time elapsed: 0.273 s
% 2.34/0.71 % (16744)Instructions burned: 48 (million)
% 2.34/0.71 % (16744)------------------------------
% 2.34/0.71 % (16744)------------------------------
% 2.34/0.72 % (16749)Instruction limit reached!
% 2.34/0.72 % (16749)------------------------------
% 2.34/0.72 % (16749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.72 % (16749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.72 % (16749)Termination reason: Unknown
% 2.34/0.72 % (16749)Termination phase: Saturation
% 2.34/0.72
% 2.34/0.72 % (16749)Memory used [KB]: 6012
% 2.34/0.72 % (16749)Time elapsed: 0.298 s
% 2.34/0.72 % (16749)Instructions burned: 49 (million)
% 2.34/0.72 % (16749)------------------------------
% 2.34/0.72 % (16749)------------------------------
% 2.34/0.73 % (16742)Instruction limit reached!
% 2.34/0.73 % (16742)------------------------------
% 2.34/0.73 % (16742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.73 % (16742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.73 % (16742)Termination reason: Unknown
% 2.34/0.73 % (16742)Termination phase: Saturation
% 2.34/0.73
% 2.34/0.73 % (16742)Memory used [KB]: 6268
% 2.34/0.73 % (16742)Time elapsed: 0.310 s
% 2.34/0.73 % (16742)Instructions burned: 46 (million)
% 2.34/0.73 % (16742)------------------------------
% 2.34/0.73 % (16742)------------------------------
% 2.90/0.77 % (16752)Instruction limit reached!
% 2.90/0.77 % (16752)------------------------------
% 2.90/0.77 % (16752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.77 % (16752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.77 % (16752)Termination reason: Unknown
% 2.90/0.77 % (16752)Termination phase: Saturation
% 2.90/0.77
% 2.90/0.77 % (16752)Memory used [KB]: 6780
% 2.90/0.77 % (16752)Time elapsed: 0.343 s
% 2.90/0.77 % (16752)Instructions burned: 104 (million)
% 2.90/0.77 % (16752)------------------------------
% 2.90/0.77 % (16752)------------------------------
% 2.90/0.77 % (16795)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/257Mi)
% 2.90/0.77 % (16797)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/292Mi)
% 3.10/0.78 % (16796)lrs+10_1:3_acc=on:amm=off:avsq=on:avsqr=1729,253:bs=on:drc=off:fsr=off:lwlo=on:sac=on:slsq=on:slsqc=2:slsql=off:slsqr=1,8:sp=weighted_frequency:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 3.10/0.79 % (16811)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=402:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/402Mi)
% 3.10/0.81 % (16799)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/439Mi)
% 3.10/0.81 % (16812)lrs+10_1:512_av=off:awrs=converge:awrsf=8:bd=preordered:br=off:bsr=unit_only:drc=off:erd=off:foolp=on:fsd=on:gve=cautious:irw=on:kmz=on:kws=arity_squared:lcm=reverse:newcnf=on:nwc=5.0:plsq=on:plsqc=2:plsql=on:plsqr=9798671,477100:slsq=on:slsqc=1:slsqr=1,16:sp=weighted_frequency:spb=intro:tgt=full:updr=off:urr=on:uwa=ground:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/496Mi)
% 3.10/0.81 % (16827)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=1598:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1598Mi)
% 3.10/0.82 % (16818)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/248Mi)
% 3.10/0.82 % (16817)lrs+10_1:1_drc=off:s2a=on:s2agt=8:sp=reverse_arity:to=lpo:i=312:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/312Mi)
% 3.10/0.83 % (16823)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/177Mi)
% 3.10/0.83 % (16756)Instruction limit reached!
% 3.10/0.83 % (16756)------------------------------
% 3.10/0.83 % (16756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.83 % (16756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.83 % (16756)Termination reason: Unknown
% 3.10/0.83 % (16756)Termination phase: Saturation
% 3.10/0.83
% 3.10/0.83 % (16756)Memory used [KB]: 7547
% 3.10/0.83 % (16756)Time elapsed: 0.355 s
% 3.10/0.83 % (16756)Instructions burned: 112 (million)
% 3.10/0.83 % (16756)------------------------------
% 3.10/0.83 % (16756)------------------------------
% 3.32/0.84 % (16836)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1242Mi)
% 3.32/0.85 % (16832)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/381Mi)
% 3.39/0.85 % (16843)lrs+1011_1:92_abs=on:amm=sco:anc=all:avsq=on:avsqc=1:avsql=on:avsqr=41,14:awrs=converge:awrsf=170:bd=preordered:bs=on:bsr=unit_only:erd=off:fd=preordered:irw=on:lcm=reverse:lwlo=on:newcnf=on:nicw=on:nwc=4.0:s2a=on:s2agt=64:sas=z3:sims=off:sp=frequency:to=lpo:urr=on:i=629:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/629Mi)
% 3.39/0.88 % (16861)lrs+10_2:1_bd=preordered:bsr=unit_only:drc=off:fd=preordered:fde=none:lwlo=on:sp=reverse_frequency:ss=axioms:st=3.0:to=lpo:i=1575:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1575Mi)
% 3.60/0.92 % (16758)Instruction limit reached!
% 3.60/0.92 % (16758)------------------------------
% 3.60/0.92 % (16758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.60/0.92 % (16758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.60/0.92 % (16758)Termination reason: Unknown
% 3.60/0.92 % (16758)Termination phase: Saturation
% 3.60/0.92
% 3.60/0.92 % (16758)Memory used [KB]: 7164
% 3.60/0.92 % (16758)Time elapsed: 0.476 s
% 3.60/0.92 % (16758)Instructions burned: 178 (million)
% 3.60/0.92 % (16758)------------------------------
% 3.60/0.92 % (16758)------------------------------
% 3.60/0.94 % (16748)Instruction limit reached!
% 3.60/0.94 % (16748)------------------------------
% 3.60/0.94 % (16748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/0.96 % (16748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/0.96 % (16748)Termination reason: Unknown
% 3.81/0.96 % (16748)Termination phase: Saturation
% 3.81/0.96
% 3.81/0.96 % (16748)Memory used [KB]: 8571
% 3.81/0.96 % (16748)Time elapsed: 0.449 s
% 3.81/0.96 % (16748)Instructions burned: 214 (million)
% 3.81/0.96 % (16748)------------------------------
% 3.81/0.96 % (16748)------------------------------
% 3.81/0.96 % (16889)lrs+10_1:8_anc=all_dependent:atotf=0.2:drc=off:fde=unused:nicw=on:nwc=3.0:sas=z3:slsq=on:slsqc=1:slsqr=3,2:sp=reverse_frequency:i=4955:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4955Mi)
% 3.81/0.99 % (16745)Instruction limit reached!
% 3.81/0.99 % (16745)------------------------------
% 3.81/0.99 % (16745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/1.00 % (16757)Instruction limit reached!
% 3.81/1.00 % (16757)------------------------------
% 3.81/1.00 % (16757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/1.00 % (16757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/1.00 % (16757)Termination reason: Unknown
% 3.81/1.00 % (16757)Termination phase: Saturation
% 3.81/1.00
% 3.81/1.00 % (16757)Memory used [KB]: 5500
% 3.81/1.00 % (16757)Time elapsed: 0.543 s
% 3.81/1.00 % (16757)Instructions burned: 250 (million)
% 3.81/1.00 % (16757)------------------------------
% 3.81/1.00 % (16757)------------------------------
% 3.81/1.00 % (16746)Instruction limit reached!
% 3.81/1.00 % (16746)------------------------------
% 3.81/1.00 % (16746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/1.00 % (16746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/1.00 % (16746)Termination reason: Unknown
% 3.81/1.00 % (16746)Termination phase: Saturation
% 3.81/1.00
% 3.81/1.00 % (16746)Memory used [KB]: 10362
% 3.81/1.00 % (16746)Time elapsed: 0.555 s
% 3.81/1.00 % (16746)Instructions burned: 353 (million)
% 3.81/1.00 % (16746)------------------------------
% 3.81/1.00 % (16746)------------------------------
% 3.81/1.01 % (16745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/1.01 % (16745)Termination reason: Unknown
% 3.81/1.01 % (16745)Termination phase: Saturation
% 3.81/1.01
% 3.81/1.01 % (16745)Memory used [KB]: 9594
% 3.81/1.01 % (16745)Time elapsed: 0.573 s
% 3.81/1.01 % (16745)Instructions burned: 293 (million)
% 3.81/1.01 % (16745)------------------------------
% 3.81/1.01 % (16745)------------------------------
% 3.81/1.01 % (16759)Instruction limit reached!
% 3.81/1.01 % (16759)------------------------------
% 3.81/1.01 % (16759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/1.01 % (16759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/1.01 % (16759)Termination reason: Unknown
% 3.81/1.01 % (16759)Termination phase: Saturation
% 3.81/1.01
% 3.81/1.01 % (16759)Memory used [KB]: 5373
% 3.81/1.01 % (16759)Time elapsed: 0.589 s
% 3.81/1.01 % (16759)Instructions burned: 268 (million)
% 3.81/1.01 % (16759)------------------------------
% 3.81/1.01 % (16759)------------------------------
% 3.81/1.02 % (16750)Instruction limit reached!
% 3.81/1.02 % (16750)------------------------------
% 3.81/1.02 % (16750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/1.02 % (16750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/1.02 % (16750)Termination reason: Unknown
% 3.81/1.02 % (16750)Termination phase: Saturation
% 3.81/1.02
% 3.81/1.02 % (16750)Memory used [KB]: 7291
% 3.81/1.02 % (16750)Time elapsed: 0.597 s
% 3.81/1.02 % (16750)Instructions burned: 259 (million)
% 3.81/1.02 % (16750)------------------------------
% 3.81/1.02 % (16750)------------------------------
% 4.11/1.06 % (16959)lrs+1010_1:173_acc=on:aer=off:alpa=true:anc=none:avsq=on:avsqr=497233,912204:awrs=decay:awrsf=4:bce=on:bs=on:bsd=on:cond=on:drc=off:erd=off:flr=on:gsp=on:nicw=on:nm=16:nwc=3.0:sd=2:sfv=off:skr=on:sp=reverse_arity:ss=axioms:st=2.0:updr=off:urr=ec_only:i=2989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2989Mi)
% 4.11/1.06 % (16946)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=1429:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1429Mi)
% 4.21/1.11 % (16755)Instruction limit reached!
% 4.21/1.11 % (16755)------------------------------
% 4.21/1.11 % (16755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/1.11 % (16755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/1.11 % (16755)Termination reason: Unknown
% 4.21/1.11 % (16755)Termination phase: Saturation
% 4.21/1.11
% 4.21/1.11 % (16755)Memory used [KB]: 9338
% 4.21/1.11 % (16755)Time elapsed: 0.690 s
% 4.21/1.11 % (16755)Instructions burned: 267 (million)
% 4.21/1.11 % (16755)------------------------------
% 4.21/1.11 % (16755)------------------------------
% 4.21/1.11 % (16747)Instruction limit reached!
% 4.21/1.11 % (16747)------------------------------
% 4.21/1.11 % (16747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/1.12 % (16823)Instruction limit reached!
% 4.21/1.12 % (16823)------------------------------
% 4.21/1.12 % (16823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/1.12 % (16823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/1.12 % (16823)Termination reason: Unknown
% 4.21/1.12 % (16823)Termination phase: Saturation
% 4.21/1.12
% 4.21/1.12 % (16823)Memory used [KB]: 7164
% 4.21/1.12 % (16823)Time elapsed: 0.397 s
% 4.21/1.12 % (16823)Instructions burned: 178 (million)
% 4.21/1.12 % (16823)------------------------------
% 4.21/1.12 % (16823)------------------------------
% 4.21/1.12 % (16747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/1.12 % (16747)Termination reason: Unknown
% 4.21/1.12 % (16747)Termination phase: Saturation
% 4.21/1.12
% 4.21/1.12 % (16747)Memory used [KB]: 10234
% 4.21/1.12 % (16747)Time elapsed: 0.678 s
% 4.21/1.12 % (16747)Instructions burned: 321 (million)
% 4.21/1.12 % (16747)------------------------------
% 4.21/1.12 % (16747)------------------------------
% 4.21/1.13 % (16971)lrs+10_1:16_drc=off:fde=none:spb=goal_then_units:to=lpo:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1345Mi)
% 4.21/1.13 % (16970)lrs+10_6339:827045_acc=on:anc=all:awrs=decay:awrsf=1:bce=on:br=off:bs=unit_only:cond=on:foolp=on:nicw=on:nwc=2.0:s2a=on:s2agt=8:sd=1:sgt=16:sp=occurrence:ss=axioms:st=1.2:updr=off:urr=on:uwa=all:i=2096:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2096Mi)
% 4.21/1.13 % (16818)Instruction limit reached!
% 4.21/1.13 % (16818)------------------------------
% 4.21/1.13 % (16818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.21/1.13 % (16818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.21/1.13 % (16818)Termination reason: Unknown
% 4.21/1.13 % (16818)Termination phase: Saturation
% 4.21/1.13
% 4.21/1.13 % (16818)Memory used [KB]: 5373
% 4.21/1.13 % (16818)Time elapsed: 0.401 s
% 4.21/1.13 % (16818)Instructions burned: 249 (million)
% 4.21/1.13 % (16818)------------------------------
% 4.21/1.13 % (16818)------------------------------
% 4.21/1.14 % (16972)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/290Mi)
% 6.19/1.15 % (16795)Instruction limit reached!
% 6.19/1.15 % (16795)------------------------------
% 6.19/1.15 % (16795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.19/1.15 % (16753)Instruction limit reached!
% 6.19/1.15 % (16753)------------------------------
% 6.19/1.15 % (16753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.19/1.15 % (16753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.19/1.15 % (16753)Termination reason: Unknown
% 6.19/1.15 % (16753)Termination phase: Saturation
% 6.19/1.15
% 6.19/1.15 % (16753)Memory used [KB]: 9978
% 6.19/1.15 % (16753)Time elapsed: 0.727 s
% 6.19/1.15 % (16753)Instructions burned: 389 (million)
% 6.19/1.15 % (16753)------------------------------
% 6.19/1.15 % (16753)------------------------------
% 6.19/1.15 % (16973)dis+2_1:1_av=off:flr=on:plsq=on:plsqc=1:plsqr=32,1:sp=reverse_frequency:to=lpo:urr=ec_only:uwa=all:i=4705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4705Mi)
% 6.19/1.15 % (16974)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=2797:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2797Mi)
% 6.19/1.15 % (16795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.19/1.15 % (16795)Termination reason: Unknown
% 6.19/1.15 % (16795)Termination phase: Saturation
% 6.19/1.15
% 6.19/1.15 % (16795)Memory used [KB]: 7291
% 6.19/1.15 % (16795)Time elapsed: 0.504 s
% 6.19/1.15 % (16795)Instructions burned: 257 (million)
% 6.19/1.15 % (16795)------------------------------
% 6.19/1.15 % (16795)------------------------------
% 6.41/1.18 % (16754)Instruction limit reached!
% 6.41/1.18 % (16754)------------------------------
% 6.41/1.18 % (16754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.41/1.18 % (16797)Instruction limit reached!
% 6.41/1.18 % (16797)------------------------------
% 6.41/1.18 % (16797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.41/1.18 % (16797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.41/1.18 % (16797)Termination reason: Unknown
% 6.41/1.18 % (16797)Termination phase: Saturation
% 6.41/1.18
% 6.41/1.18 % (16797)Memory used [KB]: 10106
% 6.41/1.18 % (16797)Time elapsed: 0.496 s
% 6.41/1.18 % (16797)Instructions burned: 292 (million)
% 6.41/1.18 % (16797)------------------------------
% 6.41/1.18 % (16797)------------------------------
% 6.41/1.18 % (16754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.41/1.18 % (16754)Termination reason: Unknown
% 6.41/1.18 % (16754)Termination phase: Saturation
% 6.41/1.18
% 6.41/1.18 % (16754)Memory used [KB]: 11129
% 6.41/1.18 % (16754)Time elapsed: 0.743 s
% 6.41/1.18 % (16754)Instructions burned: 481 (million)
% 6.41/1.18 % (16754)------------------------------
% 6.41/1.18 % (16754)------------------------------
% 6.41/1.20 % (16811)Instruction limit reached!
% 6.41/1.20 % (16811)------------------------------
% 6.41/1.20 % (16811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.41/1.22 % (16811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.41/1.22 % (16811)Termination reason: Unknown
% 6.41/1.22 % (16811)Termination phase: Saturation
% 6.41/1.22
% 6.41/1.22 % (16811)Memory used [KB]: 11769
% 6.41/1.22 % (16811)Time elapsed: 0.471 s
% 6.41/1.22 % (16811)Instructions burned: 403 (million)
% 6.41/1.22 % (16811)------------------------------
% 6.41/1.22 % (16811)------------------------------
% 6.41/1.22 % (16761)Instruction limit reached!
% 6.41/1.22 % (16761)------------------------------
% 6.41/1.22 % (16761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.41/1.22 % (17000)dis+1011_1:32_tgt=ground:i=4929:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4929Mi)
% 6.85/1.24 % (16761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.85/1.24 % (16761)Termination reason: Unknown
% 6.85/1.24 % (16761)Termination phase: Saturation
% 6.85/1.24
% 6.85/1.24 % (16761)Memory used [KB]: 11257
% 6.85/1.24 % (16761)Time elapsed: 0.799 s
% 6.85/1.24 % (16761)Instructions burned: 381 (million)
% 6.85/1.24 % (16761)------------------------------
% 6.85/1.24 % (16761)------------------------------
% 6.85/1.24 % (17005)lrs+10_1:1_drc=off:s2a=on:s2agt=8:sp=reverse_arity:to=lpo:i=1841:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1841Mi)
% 6.85/1.24 % (17013)lrs+1011_2:1_av=off:irw=on:lwlo=on:newcnf=on:nm=16:nwc=2:sd=4:sp=occurrence:ss=axioms:st=3.0:i=1314:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1314Mi)
% 6.85/1.25 % (17008)dis+1011_1:16_acc=on:drc=off:fd=preordered:fsd=on:nwc=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,16:thsq=on:thsqc=16:thsqd=16:urr=on:i=4917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4917Mi)
% 7.04/1.27 % (17010)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/248Mi)
% 7.04/1.28 % (17017)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=620:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/620Mi)
% 7.04/1.29 % (17035)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1242Mi)
% 7.04/1.30 % (17053)lrs+10_8:1_bd=preordered:drc=off:fd=preordered:sp=reverse_frequency:i=4700:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/4700Mi)
% 7.04/1.30 % (16760)Instruction limit reached!
% 7.04/1.30 % (16760)------------------------------
% 7.04/1.30 % (16760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.04/1.30 % (16760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.04/1.30 % (16760)Termination reason: Unknown
% 7.04/1.30 % (16760)Termination phase: Saturation
% 7.04/1.30
% 7.04/1.30 % (16760)Memory used [KB]: 10874
% 7.04/1.30 % (16760)Time elapsed: 0.882 s
% 7.04/1.30 % (16760)Instructions burned: 495 (million)
% 7.04/1.30 % (16760)------------------------------
% 7.04/1.30 % (16760)------------------------------
% 7.04/1.31 % (16817)Instruction limit reached!
% 7.04/1.31 % (16817)------------------------------
% 7.04/1.31 % (16817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.04/1.31 % (16817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.04/1.31 % (16817)Termination reason: Unknown
% 7.04/1.31 % (16817)Termination phase: Saturation
% 7.04/1.31
% 7.04/1.31 % (16817)Memory used [KB]: 8059
% 7.04/1.31 % (16817)Time elapsed: 0.595 s
% 7.04/1.31 % (16817)Instructions burned: 313 (million)
% 7.04/1.31 % (16817)------------------------------
% 7.04/1.31 % (16817)------------------------------
% 7.04/1.31 % (17033)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/381Mi)
% 7.46/1.33 % (16751)Instruction limit reached!
% 7.46/1.33 % (16751)------------------------------
% 7.46/1.33 % (16751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.46/1.33 % (16751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.46/1.33 % (16751)Termination reason: Unknown
% 7.46/1.33 % (16751)Termination phase: Saturation
% 7.46/1.33
% 7.46/1.33 % (16751)Memory used [KB]: 14456
% 7.46/1.33 % (16751)Time elapsed: 0.891 s
% 7.46/1.33 % (16751)Instructions burned: 440 (million)
% 7.46/1.33 % (16751)------------------------------
% 7.46/1.33 % (16751)------------------------------
% 7.46/1.34 % (17058)lrs+10_1:12_drc=off:ins=1:sp=frequency:spb=goal_then_units:i=4963:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/4963Mi)
% 7.71/1.43 % (16796)Instruction limit reached!
% 7.71/1.43 % (16796)------------------------------
% 7.71/1.43 % (16796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.71/1.43 % (16796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.71/1.43 % (16796)Termination reason: Unknown
% 7.71/1.43 % (16796)Termination phase: Saturation
% 7.71/1.43
% 7.71/1.43 % (16796)Memory used [KB]: 12281
% 7.71/1.43 % (16796)Time elapsed: 0.758 s
% 7.71/1.43 % (16796)Instructions burned: 464 (million)
% 7.71/1.43 % (16796)------------------------------
% 7.71/1.43 % (16796)------------------------------
% 7.71/1.43 % (17059)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=3884:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/3884Mi)
% 8.08/1.45 % (17060)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=875:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/875Mi)
% 8.24/1.47 % (17061)lrs+2_1:128_awrs=decay:awrsf=20:drc=off:fsd=on:lwlo=on:nm=2:nwc=1.94:spb=units:thsq=on:thsqc=32:thsqd=32:thsqr=4,7:i=2970:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/2970Mi)
% 8.24/1.50 % (16799)Instruction limit reached!
% 8.24/1.50 % (16799)------------------------------
% 8.24/1.50 % (16799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.24/1.51 % (16799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.24/1.51 % (16799)Termination reason: Unknown
% 8.24/1.51 % (16799)Termination phase: Saturation
% 8.24/1.51
% 8.24/1.51 % (16799)Memory used [KB]: 14328
% 8.24/1.51 % (16799)Time elapsed: 0.808 s
% 8.24/1.51 % (16799)Instructions burned: 440 (million)
% 8.24/1.51 % (16799)------------------------------
% 8.24/1.51 % (16799)------------------------------
% 8.24/1.52 % (16972)Instruction limit reached!
% 8.24/1.52 % (16972)------------------------------
% 8.24/1.52 % (16972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.58/1.53 % (16972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.58/1.53 % (16972)Termination reason: Unknown
% 8.58/1.53 % (16972)Termination phase: Saturation
% 8.58/1.53
% 8.58/1.53 % (16972)Memory used [KB]: 8571
% 8.58/1.53 % (16972)Time elapsed: 0.491 s
% 8.58/1.53 % (16972)Instructions burned: 290 (million)
% 8.58/1.53 % (16972)------------------------------
% 8.58/1.53 % (16972)------------------------------
% 8.58/1.54 % (16832)Instruction limit reached!
% 8.58/1.54 % (16832)------------------------------
% 8.58/1.54 % (16832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.58/1.54 % (16832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.58/1.54 % (16832)Termination reason: Unknown
% 8.58/1.54 % (16832)Termination phase: Saturation
% 8.58/1.54
% 8.58/1.54 % (16832)Memory used [KB]: 11385
% 8.58/1.54 % (16832)Time elapsed: 0.791 s
% 8.58/1.54 % (16832)Instructions burned: 381 (million)
% 8.58/1.54 % (16832)------------------------------
% 8.58/1.54 % (16832)------------------------------
% 8.71/1.57 % (17062)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/290Mi)
% 8.71/1.59 % (16812)Instruction limit reached!
% 8.71/1.59 % (16812)------------------------------
% 8.71/1.59 % (16812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.71/1.60 % (17010)Instruction limit reached!
% 8.71/1.60 % (17010)------------------------------
% 8.71/1.60 % (17010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.71/1.60 % (17010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.71/1.60 % (17010)Termination reason: Unknown
% 8.71/1.60 % (17010)Termination phase: Saturation
% 8.71/1.60
% 8.71/1.60 % (17010)Memory used [KB]: 5373
% 8.71/1.60 % (17010)Time elapsed: 0.433 s
% 8.71/1.60 % (17010)Instructions burned: 248 (million)
% 8.71/1.60 % (17010)------------------------------
% 8.71/1.60 % (17010)------------------------------
% 8.71/1.60 % (16812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.71/1.60 % (16812)Termination reason: Unknown
% 8.71/1.60 % (16812)Termination phase: Saturation
% 8.71/1.60
% 8.71/1.60 % (16812)Memory used [KB]: 7675
% 8.71/1.60 % (16812)Time elapsed: 0.879 s
% 8.71/1.60 % (16812)Instructions burned: 497 (million)
% 8.71/1.60 % (16812)------------------------------
% 8.71/1.60 % (16812)------------------------------
% 8.71/1.62 % (17064)dis+10_1:1_drc=off:fd=preordered:tgt=full:to=lpo:i=2934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/2934Mi)
% 9.02/1.64 % (17063)lrs+11_26459:191296_av=off:awrs=converge:awrsf=30:bd=preordered:bs=unit_only:drc=off:etr=on:flr=on:lwlo=on:nwc=5.0:plsq=on:plsqc=1:plsql=on:plsqr=1,32:skr=on:slsq=on:slsqr=18,107:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=3607:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/3607Mi)
% 9.02/1.67 % (17065)dis+1011_1:16_acc=on:drc=off:fd=preordered:fsd=on:nwc=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,16:thsq=on:thsqc=16:thsqd=16:urr=on:i=4940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/4940Mi)
% 10.42/1.72 % (17067)lrs+1011_2:1_av=off:irw=on:lwlo=on:newcnf=on:nm=16:nwc=2:sd=4:sp=occurrence:ss=axioms:st=3.0:i=1314:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1314Mi)
% 10.42/1.74 % (17066)lrs+1002_1:1024_drc=off:ins=1:nwc=5.0:slsq=on:slsqc=1:slsql=off:slsqr=1,8:urr=on:uwa=all:i=4546:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4546Mi)
% 11.75/1.88 % (16843)Instruction limit reached!
% 11.75/1.88 % (16843)------------------------------
% 11.75/1.88 % (16843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.75/1.88 % (16843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.75/1.88 % (16843)Termination reason: Unknown
% 11.75/1.88 % (16843)Termination phase: Saturation
% 11.75/1.88
% 11.75/1.88 % (16843)Memory used [KB]: 11129
% 11.75/1.88 % (16843)Time elapsed: 1.129 s
% 11.75/1.88 % (16843)Instructions burned: 629 (million)
% 11.75/1.88 % (16843)------------------------------
% 11.75/1.88 % (16843)------------------------------
% 12.69/1.98 % (17033)Instruction limit reached!
% 12.69/1.98 % (17033)------------------------------
% 12.69/1.98 % (17033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.69/1.98 % (17062)Instruction limit reached!
% 12.69/1.98 % (17062)------------------------------
% 12.69/1.98 % (17062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.69/2.00 % (17033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.69/2.00 % (17033)Termination reason: Unknown
% 12.69/2.00 % (17033)Termination phase: Saturation
% 12.69/2.00
% 12.69/2.00 % (17033)Memory used [KB]: 11257
% 12.69/2.00 % (17033)Time elapsed: 0.750 s
% 12.69/2.00 % (17033)Instructions burned: 382 (million)
% 12.69/2.00 % (17033)------------------------------
% 12.69/2.00 % (17033)------------------------------
% 12.69/2.00 % (17062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.69/2.00 % (17062)Termination reason: Unknown
% 12.69/2.00 % (17062)Termination phase: Saturation
% 12.69/2.00
% 12.69/2.00 % (17062)Memory used [KB]: 8571
% 12.69/2.00 % (17062)Time elapsed: 0.522 s
% 12.69/2.00 % (17062)Instructions burned: 292 (million)
% 12.69/2.00 % (17062)------------------------------
% 12.69/2.00 % (17062)------------------------------
% 12.69/2.04 % (17068)lrs+1011_8:1_aac=none:anc=all_dependent:lwlo=on:nm=2:nwc=10.0:sac=on:sos=all:i=3317:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/3317Mi)
% 12.69/2.04 % (17068)Refutation not found, incomplete strategy% (17068)------------------------------
% 12.69/2.04 % (17068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.69/2.04 % (17068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.69/2.04 % (17068)Termination reason: Refutation not found, incomplete strategy
% 12.69/2.04
% 12.69/2.04 % (17068)Memory used [KB]: 5500
% 12.69/2.04 % (17068)Time elapsed: 0.127 s
% 12.69/2.04 % (17068)Instructions burned: 1 (million)
% 12.69/2.04 % (17068)------------------------------
% 12.69/2.04 % (17068)------------------------------
% 13.61/2.11 % (17069)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/381Mi)
% 13.61/2.13 % (17070)dis+1011_1:227_abs=on:amm=off:avsq=on:avsqc=1:avsqr=97,32:awrs=converge:awrsf=256:bsr=unit_only:drc=off:fd=preordered:plsq=on:plsqc=1:plsql=on:plsqr=27942579,963352:sas=z3:slsq=on:slsqc=1:slsql=off:slsqr=307,512:sp=occurrence:ss=axioms:st=3.0:i=5027:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/5027Mi)
% 14.03/2.16 % (17017)Instruction limit reached!
% 14.03/2.16 % (17017)------------------------------
% 14.03/2.16 % (17017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.03/2.18 % (17017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.03/2.18 % (17017)Termination reason: Unknown
% 14.03/2.18 % (17017)Termination phase: Saturation
% 14.03/2.18
% 14.03/2.18 % (17017)Memory used [KB]: 10874
% 14.03/2.18 % (17017)Time elapsed: 0.962 s
% 14.03/2.18 % (17017)Instructions burned: 621 (million)
% 14.03/2.18 % (17017)------------------------------
% 14.03/2.18 % (17017)------------------------------
% 14.03/2.18 % (17071)lrs+1011_1:92_abs=on:amm=sco:anc=all:avsq=on:avsqc=1:avsql=on:avsqr=41,14:awrs=converge:awrsf=170:bd=preordered:bs=on:bsr=unit_only:erd=off:fd=preordered:irw=on:lcm=reverse:lwlo=on:newcnf=on:nicw=on:nwc=4.0:s2a=on:s2agt=64:sas=z3:sims=off:sp=frequency:to=lpo:urr=on:i=1293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/1293Mi)
% 15.15/2.34 % (17072)lrs+10_1:12_drc=off:ins=1:sp=frequency:spb=goal_then_units:i=7928:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/7928Mi)
% 18.73/2.72 % (16836)Instruction limit reached!
% 18.73/2.72 % (16836)------------------------------
% 18.73/2.72 % (16836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.73/2.74 % (16836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.73/2.74 % (16836)Termination reason: Unknown
% 18.73/2.74 % (16836)Termination phase: Saturation
% 18.73/2.74
% 18.73/2.74 % (16836)Memory used [KB]: 17142
% 18.73/2.74 % (16836)Time elapsed: 1.978 s
% 18.73/2.74 % (16836)Instructions burned: 1244 (million)
% 18.73/2.74 % (16836)------------------------------
% 18.73/2.74 % (16836)------------------------------
% 18.88/2.77 % (17060)Instruction limit reached!
% 18.88/2.77 % (17060)------------------------------
% 18.88/2.77 % (17060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.88/2.79 % (17060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.88/2.79 % (17060)Termination reason: Unknown
% 18.88/2.79 % (17060)Termination phase: Saturation
% 18.88/2.79
% 18.88/2.79 % (17060)Memory used [KB]: 18421
% 18.88/2.79 % (17060)Time elapsed: 1.435 s
% 18.88/2.79 % (17060)Instructions burned: 875 (million)
% 18.88/2.79 % (17060)------------------------------
% 18.88/2.79 % (17060)------------------------------
% 18.88/2.81 % (16971)Instruction limit reached!
% 18.88/2.81 % (16971)------------------------------
% 18.88/2.81 % (16971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.88/2.82 % (17069)Instruction limit reached!
% 18.88/2.82 % (17069)------------------------------
% 18.88/2.82 % (17069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.88/2.82 % (17069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.88/2.82 % (17069)Termination reason: Unknown
% 18.88/2.82 % (17069)Termination phase: Saturation
% 18.88/2.82
% 18.88/2.82 % (17069)Memory used [KB]: 11257
% 18.88/2.82 % (17069)Time elapsed: 0.800 s
% 18.88/2.82 % (17069)Instructions burned: 382 (million)
% 18.88/2.82 % (17069)------------------------------
% 18.88/2.82 % (17069)------------------------------
% 19.54/2.83 % (16971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.54/2.83 % (16971)Termination reason: Unknown
% 19.54/2.83 % (16971)Termination phase: Saturation
% 19.54/2.83
% 19.54/2.83 % (16971)Memory used [KB]: 22643
% 19.54/2.83 % (16971)Time elapsed: 1.768 s
% 19.54/2.83 % (16971)Instructions burned: 1345 (million)
% 19.54/2.83 % (16971)------------------------------
% 19.54/2.83 % (16971)------------------------------
% 19.54/2.86 % (16827)Instruction limit reached!
% 19.54/2.86 % (16827)------------------------------
% 19.54/2.86 % (16827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.54/2.86 % (16827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.54/2.86 % (16827)Termination reason: Unknown
% 19.54/2.86 % (16827)Termination phase: Saturation
% 19.54/2.86
% 19.54/2.86 % (16827)Memory used [KB]: 25713
% 19.54/2.86 % (16827)Time elapsed: 2.104 s
% 19.54/2.86 % (16827)Instructions burned: 1599 (million)
% 19.54/2.86 % (16827)------------------------------
% 19.54/2.86 % (16827)------------------------------
% 19.54/2.88 % (17073)ott+10_1:1_av=off:bd=preordered:bsd=on:drc=off:etr=on:fd=preordered:fsr=off:ins=1:lma=on:slsq=on:slsqc=1:slsql=off:slsqr=9,8:sp=frequency:spb=goal:urr=ec_only:i=3180:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/3180Mi)
% 20.00/2.94 % (17076)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=5084:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/5084Mi)
% 20.00/2.94 % (17074)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=20527:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/20527Mi)
% 20.00/2.95 % (17075)dis+0_46177:627804_av=off:awrs=decay:awrsf=350:bs=unit_only:s2a=on:s2at=3.2:skr=on:slsq=on:slsqc=0:slsql=off:slsqr=10,103:sp=reverse_arity:urr=ec_only:i=9439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/9439Mi)
% 20.80/3.02 % (17077)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=875:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/875Mi)
% 21.02/3.07 % (16946)Instruction limit reached!
% 21.02/3.07 % (16946)------------------------------
% 21.02/3.07 % (16946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.02/3.07 % (16946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.02/3.07 % (16946)Termination reason: Unknown
% 21.02/3.07 % (16946)Termination phase: Saturation
% 21.02/3.07
% 21.02/3.07 % (16946)Memory used [KB]: 28400
% 21.02/3.07 % (16946)Time elapsed: 2.086 s
% 21.02/3.07 % (16946)Instructions burned: 1429 (million)
% 21.02/3.07 % (16946)------------------------------
% 21.02/3.07 % (16946)------------------------------
% 21.02/3.09 % (16861)Instruction limit reached!
% 21.02/3.09 % (16861)------------------------------
% 21.02/3.09 % (16861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.02/3.09 % (16861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.02/3.09 % (16861)Termination reason: Unknown
% 21.02/3.09 % (16861)Termination phase: Saturation
% 21.02/3.09
% 21.02/3.09 % (16861)Memory used [KB]: 24690
% 21.02/3.09 % (16861)Time elapsed: 2.263 s
% 21.02/3.09 % (16861)Instructions burned: 1576 (million)
% 21.02/3.09 % (16861)------------------------------
% 21.02/3.09 % (16861)------------------------------
% 21.02/3.10 % (17013)Refutation not found, non-redundant clauses discarded% (17013)------------------------------
% 21.02/3.10 % (17013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.02/3.10 % (17013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.02/3.10 % (17013)Termination reason: Refutation not found, non-redundant clauses discarded
% 21.02/3.10
% 21.02/3.10 % (17013)Memory used [KB]: 13816
% 21.02/3.10 % (17013)Time elapsed: 1.896 s
% 21.02/3.10 % (17013)Instructions burned: 1304 (million)
% 21.02/3.10 % (17013)------------------------------
% 21.02/3.10 % (17013)------------------------------
% 21.60/3.14 % (17035)Instruction limit reached!
% 21.60/3.14 % (17035)------------------------------
% 21.60/3.14 % (17035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.60/3.14 % (17035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.60/3.14 % (17035)Termination reason: Unknown
% 21.60/3.14 % (17035)Termination phase: Saturation
% 21.60/3.14
% 21.60/3.14 % (17035)Memory used [KB]: 17142
% 21.60/3.14 % (17035)Time elapsed: 1.878 s
% 21.60/3.14 % (17035)Instructions burned: 1243 (million)
% 21.60/3.14 % (17035)------------------------------
% 21.60/3.14 % (17035)------------------------------
% 21.97/3.21 % (17078)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=6250:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/6250Mi)
% 21.97/3.22 % (17080)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/290Mi)
% 21.97/3.24 % (17079)lrs+10_6339:827045_acc=on:anc=all:awrs=decay:awrsf=1:bce=on:br=off:bs=unit_only:cond=on:foolp=on:nicw=on:nwc=2.0:s2a=on:s2agt=8:sd=1:sgt=16:sp=occurrence:ss=axioms:st=1.2:updr=off:urr=on:uwa=all:i=3068:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/3068Mi)
% 21.97/3.26 % (17081)lrs+10_3:1_bd=off:fde=none:lwlo=on:i=15258:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/15258Mi)
% 25.75/3.63 % (17080)Instruction limit reached!
% 25.75/3.63 % (17080)------------------------------
% 25.75/3.63 % (17080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.75/3.64 % (17080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.75/3.64 % (17080)Termination reason: Unknown
% 25.75/3.64 % (17080)Termination phase: Saturation
% 25.75/3.64
% 25.75/3.64 % (17080)Memory used [KB]: 9978
% 25.75/3.64 % (17080)Time elapsed: 0.475 s
% 25.75/3.64 % (17080)Instructions burned: 291 (million)
% 25.75/3.64 % (17080)------------------------------
% 25.75/3.64 % (17080)------------------------------
% 26.75/3.74 % (17067)Instruction limit reached!
% 26.75/3.74 % (17067)------------------------------
% 26.75/3.74 % (17067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.75/3.76 % (17067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.75/3.76 % (17067)Termination reason: Unknown
% 26.75/3.76 % (17067)Termination phase: Saturation
% 26.75/3.76
% 26.75/3.76 % (17067)Memory used [KB]: 12920
% 26.75/3.76 % (17067)Time elapsed: 2.070 s
% 26.75/3.76 % (17067)Instructions burned: 1316 (million)
% 26.75/3.76 % (17067)------------------------------
% 26.75/3.76 % (17067)------------------------------
% 26.75/3.78 % (17082)lrs+10_1:4_awrs=converge:drc=off:lwlo=on:sp=reverse_frequency:urr=ec_only:i=36973:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/36973Mi)
% 27.62/3.87 % (16970)Refutation not found, non-redundant clauses discarded% (16970)------------------------------
% 27.62/3.87 % (16970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.85/3.89 % (16970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.85/3.89 % (16970)Termination reason: Refutation not found, non-redundant clauses discarded
% 27.85/3.89
% 27.85/3.89 % (16970)Memory used [KB]: 18933
% 27.85/3.89 % (16970)Time elapsed: 2.844 s
% 27.85/3.89 % (16970)Instructions burned: 1906 (million)
% 27.85/3.89 % (16970)------------------------------
% 27.85/3.89 % (16970)------------------------------
% 27.85/3.91 % (17083)lrs+10_1:6_bd=off:drc=off:tgt=full:i=26171:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/26171Mi)
% 28.55/4.00 % (17005)Instruction limit reached!
% 28.55/4.00 % (17005)------------------------------
% 28.55/4.00 % (17005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.55/4.00 % (17005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.55/4.00 % (17005)Termination reason: Unknown
% 28.55/4.00 % (17005)Termination phase: Saturation
% 28.55/4.00
% 28.55/4.00 % (17005)Memory used [KB]: 37227
% 28.55/4.00 % (17005)Time elapsed: 2.825 s
% 28.55/4.00 % (17005)Instructions burned: 1842 (million)
% 28.55/4.00 % (17005)------------------------------
% 28.55/4.00 % (17005)------------------------------
% 28.55/4.03 % (17084)lrs+10_1:1024_drc=off:sp=unary_frequency:tgt=full:to=lpo:i=34839:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/34839Mi)
% 29.46/4.13 % (17085)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=29065:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/29065Mi)
% 30.05/4.17 % (17071)Instruction limit reached!
% 30.05/4.17 % (17071)------------------------------
% 30.05/4.17 % (17071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.05/4.18 % (17071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.05/4.18 % (17071)Termination reason: Unknown
% 30.05/4.18 % (17071)Termination phase: Saturation
% 30.05/4.18
% 30.05/4.18 % (17071)Memory used [KB]: 20852
% 30.05/4.18 % (17071)Time elapsed: 2.080 s
% 30.05/4.18 % (17071)Instructions burned: 1294 (million)
% 30.05/4.18 % (17071)------------------------------
% 30.05/4.18 % (17071)------------------------------
% 30.78/4.27 % (17077)Instruction limit reached!
% 30.78/4.27 % (17077)------------------------------
% 30.78/4.27 % (17077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.78/4.28 % (17077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.78/4.28 % (17077)Termination reason: Unknown
% 30.78/4.28 % (17077)Termination phase: Saturation
% 30.78/4.28
% 30.78/4.28 % (17077)Memory used [KB]: 18805
% 30.78/4.28 % (17077)Time elapsed: 1.322 s
% 30.78/4.28 % (17077)Instructions burned: 875 (million)
% 30.78/4.28 % (17077)------------------------------
% 30.78/4.28 % (17077)------------------------------
% 30.78/4.33 % (17086)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=25210:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/25210Mi)
% 31.66/4.42 % (17087)dis+10_1:512_drc=off:fd=preordered:ins=2:kws=precedence:s2a=on:sp=unary_first:spb=intro:tgt=ground:i=21216:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/21216Mi)
% 34.21/4.70 % (16889)First to succeed.
% 34.78/4.76 % (16889)Refutation found. Thanks to Tanya!
% 34.78/4.76 % SZS status Unsatisfiable for theBenchmark
% 34.78/4.76 % SZS output start Proof for theBenchmark
% See solution above
% 34.78/4.76 % (16889)------------------------------
% 34.78/4.76 % (16889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.78/4.76 % (16889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.78/4.76 % (16889)Termination reason: Refutation
% 34.78/4.76
% 34.78/4.76 % (16889)Memory used [KB]: 28400
% 34.78/4.76 % (16889)Time elapsed: 3.691 s
% 34.78/4.76 % (16889)Instructions burned: 2367 (million)
% 34.78/4.76 % (16889)------------------------------
% 34.78/4.76 % (16889)------------------------------
% 34.78/4.76 % (16732)Success in time 4.41 s
%------------------------------------------------------------------------------