TSTP Solution File: HEN011-3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN011-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Thu Aug 31 01:57:20 EDT 2023
% Result : Unsatisfiable 0.22s 0.60s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 14
% Syntax : Number of formulae : 193 ( 136 unt; 0 def)
% Number of atoms : 265 ( 222 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 147 ( 75 ~; 72 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 145 (; 145 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10802,plain,
$false,
inference(trivial_inequality_removal,[],[f10626]) ).
fof(f10626,plain,
sF0 != sF0,
inference(backward_demodulation,[],[f16,f10624]) ).
fof(f10624,plain,
sF0 = sF1,
inference(trivial_inequality_removal,[],[f10623]) ).
fof(f10623,plain,
( zero != zero
| sF0 = sF1 ),
inference(backward_demodulation,[],[f10451,f10622]) ).
fof(f10622,plain,
zero = divide(sF0,sF1),
inference(forward_literal_rewriting,[],[f10601,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',quotient_less_equal1) ).
fof(f10601,plain,
less_equal(sF0,sF1),
inference(superposition,[],[f3,f10576]) ).
fof(f10576,plain,
sF0 = divide(sF1,g),
inference(trivial_inequality_removal,[],[f10575]) ).
fof(f10575,plain,
( zero != zero
| sF0 = divide(sF1,g) ),
inference(forward_demodulation,[],[f10565,f10455]) ).
fof(f10455,plain,
! [X8] : zero = divide(divide(sF1,X8),sF0),
inference(superposition,[],[f7205,f10417]) ).
fof(f10417,plain,
sF1 = divide(sF0,e),
inference(trivial_inequality_removal,[],[f10416]) ).
fof(f10416,plain,
( zero != zero
| sF1 = divide(sF0,e) ),
inference(forward_demodulation,[],[f10406,f10144]) ).
fof(f10144,plain,
zero = divide(divide(sF0,e),sF1),
inference(forward_demodulation,[],[f10143,f6099]) ).
fof(f6099,plain,
! [X0] : divide(X0,zero) = X0,
inference(trivial_inequality_removal,[],[f6035]) ).
fof(f6035,plain,
! [X0] :
( zero != zero
| divide(X0,zero) = X0 ),
inference(superposition,[],[f312,f6004]) ).
fof(f6004,plain,
! [X5] : zero = divide(X5,divide(X5,zero)),
inference(trivial_inequality_removal,[],[f5988]) ).
fof(f5988,plain,
! [X5] :
( zero != zero
| zero = divide(X5,divide(X5,zero)) ),
inference(superposition,[],[f304,f5950]) ).
fof(f5950,plain,
! [X6] : zero = divide(divide(X6,divide(X6,zero)),zero),
inference(trivial_inequality_removal,[],[f5934]) ).
fof(f5934,plain,
! [X6] :
( zero != zero
| zero = divide(divide(X6,divide(X6,zero)),zero) ),
inference(superposition,[],[f304,f4534]) ).
fof(f4534,plain,
! [X9] : zero = divide(divide(divide(X9,divide(X9,zero)),zero),zero),
inference(superposition,[],[f134,f1183]) ).
fof(f1183,plain,
! [X1] : zero = divide(X1,X1),
inference(trivial_inequality_removal,[],[f1172]) ).
fof(f1172,plain,
! [X1] :
( zero != zero
| zero = divide(X1,X1) ),
inference(superposition,[],[f304,f1151]) ).
fof(f1151,plain,
! [X1] : zero = divide(divide(X1,X1),zero),
inference(trivial_inequality_removal,[],[f1140]) ).
fof(f1140,plain,
! [X1] :
( zero != zero
| zero = divide(divide(X1,X1),zero) ),
inference(superposition,[],[f304,f1060]) ).
fof(f1060,plain,
! [X1] : zero = divide(divide(divide(X1,X1),zero),zero),
inference(superposition,[],[f165,f37]) ).
fof(f37,plain,
! [X2,X3] : zero = divide(divide(X2,X3),X2),
inference(resolution,[],[f1,f3]) ).
fof(f165,plain,
! [X0,X1] : zero = divide(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(forward_literal_rewriting,[],[f117,f1]) ).
fof(f117,plain,
! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[],[f4,f37]) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',quotient_property) ).
fof(f134,plain,
! [X6,X5] : zero = divide(divide(divide(X6,X5),zero),divide(divide(X6,zero),X5)),
inference(forward_literal_rewriting,[],[f96,f1]) ).
fof(f96,plain,
! [X6,X5] : less_equal(divide(divide(X6,X5),zero),divide(divide(X6,zero),X5)),
inference(superposition,[],[f4,f35]) ).
fof(f35,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f1,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',zero_is_smallest) ).
fof(f304,plain,
! [X7] :
( zero != divide(X7,zero)
| zero = X7 ),
inference(trivial_inequality_removal,[],[f293]) ).
fof(f293,plain,
! [X7] :
( zero != zero
| zero != divide(X7,zero)
| zero = X7 ),
inference(superposition,[],[f24,f35]) ).
fof(f24,plain,
! [X0,X1] :
( zero != divide(X1,X0)
| divide(X0,X1) != zero
| X0 = X1 ),
inference(forward_literal_rewriting,[],[f23,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',quotient_less_equal2) ).
fof(f23,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(forward_literal_rewriting,[],[f6,f2]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',less_equal_and_equal) ).
fof(f312,plain,
! [X2,X1] :
( zero != divide(X1,divide(X1,X2))
| divide(X1,X2) = X1 ),
inference(trivial_inequality_removal,[],[f285]) ).
fof(f285,plain,
! [X2,X1] :
( zero != zero
| zero != divide(X1,divide(X1,X2))
| divide(X1,X2) = X1 ),
inference(superposition,[],[f24,f37]) ).
fof(f10143,plain,
zero = divide(divide(divide(sF0,e),sF1),zero),
inference(forward_demodulation,[],[f10119,f35]) ).
fof(f10119,plain,
zero = divide(divide(divide(sF0,e),sF1),divide(zero,e)),
inference(superposition,[],[f148,f9833]) ).
fof(f9833,plain,
zero = divide(sF0,d),
inference(backward_demodulation,[],[f596,f9832]) ).
fof(f9832,plain,
d = divide(identity,g),
inference(trivial_inequality_removal,[],[f9831]) ).
fof(f9831,plain,
( zero != zero
| d = divide(identity,g) ),
inference(backward_demodulation,[],[f7457,f9830]) ).
fof(f9830,plain,
! [X9] : zero = divide(divide(X9,g),d),
inference(forward_demodulation,[],[f9829,f6099]) ).
fof(f9829,plain,
! [X9] : zero = divide(divide(divide(X9,g),d),zero),
inference(forward_demodulation,[],[f9575,f35]) ).
fof(f9575,plain,
! [X9] : zero = divide(divide(divide(X9,g),d),divide(zero,d)),
inference(superposition,[],[f6108,f2022]) ).
fof(f2022,plain,
! [X1] : zero = divide(divide(X1,g),divide(d,g)),
inference(trivial_inequality_removal,[],[f2011]) ).
fof(f2011,plain,
! [X1] :
( zero != zero
| zero = divide(divide(X1,g),divide(d,g)) ),
inference(superposition,[],[f304,f514]) ).
fof(f514,plain,
! [X0] : zero = divide(divide(divide(X0,g),divide(d,g)),zero),
inference(forward_literal_rewriting,[],[f504,f1]) ).
fof(f504,plain,
! [X0] : less_equal(divide(divide(X0,g),divide(d,g)),zero),
inference(superposition,[],[f4,f351]) ).
fof(f351,plain,
! [X6] : zero = divide(divide(X6,d),g),
inference(trivial_inequality_removal,[],[f350]) ).
fof(f350,plain,
! [X6] :
( zero != zero
| zero = divide(divide(X6,d),g) ),
inference(forward_demodulation,[],[f305,f35]) ).
fof(f305,plain,
! [X6] :
( zero != divide(zero,divide(divide(X6,d),g))
| zero = divide(divide(X6,d),g) ),
inference(trivial_inequality_removal,[],[f292]) ).
fof(f292,plain,
! [X6] :
( zero != zero
| zero != divide(zero,divide(divide(X6,d),g))
| zero = divide(divide(X6,d),g) ),
inference(superposition,[],[f24,f146]) ).
fof(f146,plain,
! [X10] : zero = divide(divide(divide(X10,d),g),zero),
inference(forward_literal_rewriting,[],[f145,f1]) ).
fof(f145,plain,
! [X10] : less_equal(divide(divide(X10,d),g),zero),
inference(forward_demodulation,[],[f144,f35]) ).
fof(f144,plain,
! [X10] : less_equal(divide(divide(X10,d),g),divide(zero,d)),
inference(forward_demodulation,[],[f100,f36]) ).
fof(f36,plain,
! [X1] : zero = divide(X1,identity),
inference(resolution,[],[f1,f7]) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',identity_is_largest) ).
fof(f100,plain,
! [X10] : less_equal(divide(divide(X10,d),g),divide(divide(X10,identity),d)),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
divide(identity,d) = g,
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',identity_divide_d) ).
fof(f6108,plain,
! [X2,X3,X4] : zero = divide(divide(X4,X2),divide(divide(X4,divide(X2,X3)),X2)),
inference(backward_demodulation,[],[f133,f6099]) ).
fof(f133,plain,
! [X2,X3,X4] : zero = divide(divide(divide(X4,X2),zero),divide(divide(X4,divide(X2,X3)),X2)),
inference(forward_literal_rewriting,[],[f95,f1]) ).
fof(f95,plain,
! [X2,X3,X4] : less_equal(divide(divide(X4,X2),zero),divide(divide(X4,divide(X2,X3)),X2)),
inference(superposition,[],[f4,f37]) ).
fof(f7457,plain,
( zero != divide(divide(identity,g),d)
| d = divide(identity,g) ),
inference(superposition,[],[f312,f6588]) ).
fof(f6588,plain,
d = divide(divide(identity,g),b),
inference(forward_demodulation,[],[f6587,f6099]) ).
fof(f6587,plain,
divide(d,zero) = divide(divide(identity,g),b),
inference(trivial_inequality_removal,[],[f6586]) ).
fof(f6586,plain,
( zero != zero
| divide(d,zero) = divide(divide(identity,g),b) ),
inference(forward_demodulation,[],[f6365,f327]) ).
fof(f327,plain,
! [X4] : zero = divide(divide(X4,b),d),
inference(trivial_inequality_removal,[],[f326]) ).
fof(f326,plain,
! [X4] :
( zero != zero
| zero = divide(divide(X4,b),d) ),
inference(forward_demodulation,[],[f309,f35]) ).
fof(f309,plain,
! [X4] :
( zero != divide(zero,divide(divide(X4,b),d))
| zero = divide(divide(X4,b),d) ),
inference(trivial_inequality_removal,[],[f288]) ).
fof(f288,plain,
! [X4] :
( zero != zero
| zero != divide(zero,divide(divide(X4,b),d))
| zero = divide(divide(X4,b),d) ),
inference(superposition,[],[f24,f140]) ).
fof(f140,plain,
! [X8] : zero = divide(divide(divide(X8,b),d),zero),
inference(forward_literal_rewriting,[],[f139,f1]) ).
fof(f139,plain,
! [X8] : less_equal(divide(divide(X8,b),d),zero),
inference(forward_demodulation,[],[f138,f35]) ).
fof(f138,plain,
! [X8] : less_equal(divide(divide(X8,b),d),divide(zero,b)),
inference(forward_demodulation,[],[f98,f36]) ).
fof(f98,plain,
! [X8] : less_equal(divide(divide(X8,b),d),divide(divide(X8,identity),b)),
inference(superposition,[],[f4,f10]) ).
fof(f10,axiom,
divide(identity,b) = d,
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',identity_divide_b) ).
fof(f6365,plain,
( zero != divide(divide(divide(identity,g),b),d)
| divide(d,zero) = divide(divide(identity,g),b) ),
inference(backward_demodulation,[],[f2245,f6099]) ).
fof(f2245,plain,
( zero != divide(divide(divide(identity,g),b),divide(d,zero))
| divide(d,zero) = divide(divide(identity,g),b) ),
inference(trivial_inequality_removal,[],[f2242]) ).
fof(f2242,plain,
( zero != zero
| zero != divide(divide(divide(identity,g),b),divide(d,zero))
| divide(d,zero) = divide(divide(identity,g),b) ),
inference(superposition,[],[f24,f1653]) ).
fof(f1653,plain,
zero = divide(divide(d,zero),divide(divide(identity,g),b)),
inference(superposition,[],[f124,f1633]) ).
fof(f1633,plain,
zero = divide(g,b),
inference(forward_literal_rewriting,[],[f1622,f1]) ).
fof(f1622,plain,
less_equal(g,b),
inference(superposition,[],[f3,f1612]) ).
fof(f1612,plain,
g = divide(b,d),
inference(trivial_inequality_removal,[],[f1611]) ).
fof(f1611,plain,
( zero != zero
| g = divide(b,d) ),
inference(forward_demodulation,[],[f1604,f351]) ).
fof(f1604,plain,
( zero != divide(divide(b,d),g)
| g = divide(b,d) ),
inference(trivial_inequality_removal,[],[f1601]) ).
fof(f1601,plain,
( zero != zero
| zero != divide(divide(b,d),g)
| g = divide(b,d) ),
inference(superposition,[],[f24,f1584]) ).
fof(f1584,plain,
zero = divide(g,divide(b,d)),
inference(trivial_inequality_removal,[],[f1573]) ).
fof(f1573,plain,
( zero != zero
| zero = divide(g,divide(b,d)) ),
inference(superposition,[],[f304,f1558]) ).
fof(f1558,plain,
zero = divide(divide(g,divide(b,d)),zero),
inference(forward_demodulation,[],[f1537,f1183]) ).
fof(f1537,plain,
zero = divide(divide(g,divide(b,d)),divide(d,d)),
inference(superposition,[],[f126,f10]) ).
fof(f126,plain,
! [X10] : zero = divide(divide(g,divide(X10,d)),divide(divide(identity,X10),d)),
inference(forward_literal_rewriting,[],[f89,f1]) ).
fof(f89,plain,
! [X10] : less_equal(divide(g,divide(X10,d)),divide(divide(identity,X10),d)),
inference(superposition,[],[f4,f12]) ).
fof(f124,plain,
! [X8] : zero = divide(divide(d,divide(X8,b)),divide(divide(identity,X8),b)),
inference(forward_literal_rewriting,[],[f87,f1]) ).
fof(f87,plain,
! [X8] : less_equal(divide(d,divide(X8,b)),divide(divide(identity,X8),b)),
inference(superposition,[],[f4,f10]) ).
fof(f596,plain,
zero = divide(sF0,divide(identity,g)),
inference(trivial_inequality_removal,[],[f586]) ).
fof(f586,plain,
( zero != zero
| zero = divide(sF0,divide(identity,g)) ),
inference(superposition,[],[f304,f540]) ).
fof(f540,plain,
zero = divide(divide(sF0,divide(identity,g)),zero),
inference(superposition,[],[f152,f14]) ).
fof(f14,plain,
divide(c,g) = sF0,
introduced(function_definition,[]) ).
fof(f152,plain,
! [X0,X1] : zero = divide(divide(divide(X0,X1),divide(identity,X1)),zero),
inference(forward_literal_rewriting,[],[f151,f1]) ).
fof(f151,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),zero),
inference(forward_demodulation,[],[f106,f35]) ).
fof(f106,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),divide(zero,X1)),
inference(superposition,[],[f4,f36]) ).
fof(f148,plain,
! [X12] : zero = divide(divide(divide(X12,e),sF1),divide(divide(X12,d),e)),
inference(forward_literal_rewriting,[],[f102,f1]) ).
fof(f102,plain,
! [X12] : less_equal(divide(divide(X12,e),sF1),divide(divide(X12,d),e)),
inference(superposition,[],[f4,f15]) ).
fof(f15,plain,
divide(d,e) = sF1,
introduced(function_definition,[]) ).
fof(f10406,plain,
( zero != divide(divide(sF0,e),sF1)
| sF1 = divide(sF0,e) ),
inference(trivial_inequality_removal,[],[f10396]) ).
fof(f10396,plain,
( zero != zero
| zero != divide(divide(sF0,e),sF1)
| sF1 = divide(sF0,e) ),
inference(superposition,[],[f24,f10315]) ).
fof(f10315,plain,
zero = divide(sF1,divide(sF0,e)),
inference(forward_demodulation,[],[f10290,f6099]) ).
fof(f10290,plain,
zero = divide(divide(sF1,divide(sF0,e)),zero),
inference(superposition,[],[f128,f9898]) ).
fof(f9898,plain,
zero = divide(divide(d,sF0),e),
inference(forward_demodulation,[],[f9897,f9832]) ).
fof(f9897,plain,
zero = divide(divide(divide(identity,g),sF0),e),
inference(forward_demodulation,[],[f9896,f6099]) ).
fof(f9896,plain,
zero = divide(divide(divide(divide(identity,g),sF0),e),zero),
inference(forward_demodulation,[],[f9586,f35]) ).
fof(f9586,plain,
zero = divide(divide(divide(divide(identity,g),sF0),e),divide(zero,e)),
inference(superposition,[],[f6108,f2365]) ).
fof(f2365,plain,
zero = divide(divide(divide(identity,g),sF0),divide(e,g)),
inference(superposition,[],[f157,f14]) ).
fof(f157,plain,
! [X9] : zero = divide(divide(divide(identity,X9),divide(c,X9)),divide(e,X9)),
inference(forward_literal_rewriting,[],[f111,f1]) ).
fof(f111,plain,
! [X9] : less_equal(divide(divide(identity,X9),divide(c,X9)),divide(e,X9)),
inference(superposition,[],[f4,f11]) ).
fof(f11,axiom,
divide(identity,c) = e,
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',identity_divide_c) ).
fof(f128,plain,
! [X12] : zero = divide(divide(sF1,divide(X12,e)),divide(divide(d,X12),e)),
inference(forward_literal_rewriting,[],[f91,f1]) ).
fof(f91,plain,
! [X12] : less_equal(divide(sF1,divide(X12,e)),divide(divide(d,X12),e)),
inference(superposition,[],[f4,f15]) ).
fof(f7205,plain,
! [X8,X6,X7] : zero = divide(divide(divide(X6,X7),X8),X6),
inference(forward_demodulation,[],[f7045,f6099]) ).
fof(f7045,plain,
! [X8,X6,X7] : zero = divide(divide(divide(divide(X6,X7),X8),X6),zero),
inference(superposition,[],[f6204,f37]) ).
fof(f6204,plain,
! [X2,X3,X4] : zero = divide(divide(divide(X2,X3),X4),divide(X2,X4)),
inference(backward_demodulation,[],[f154,f6099]) ).
fof(f154,plain,
! [X2,X3,X4] : zero = divide(divide(divide(divide(X2,X3),X4),divide(X2,X4)),zero),
inference(forward_literal_rewriting,[],[f153,f1]) ).
fof(f153,plain,
! [X2,X3,X4] : less_equal(divide(divide(divide(X2,X3),X4),divide(X2,X4)),zero),
inference(forward_demodulation,[],[f107,f35]) ).
fof(f107,plain,
! [X2,X3,X4] : less_equal(divide(divide(divide(X2,X3),X4),divide(X2,X4)),divide(zero,X4)),
inference(superposition,[],[f4,f37]) ).
fof(f10565,plain,
( zero != divide(divide(sF1,g),sF0)
| sF0 = divide(sF1,g) ),
inference(trivial_inequality_removal,[],[f10555]) ).
fof(f10555,plain,
( zero != zero
| zero != divide(divide(sF1,g),sF0)
| sF0 = divide(sF1,g) ),
inference(superposition,[],[f24,f10364]) ).
fof(f10364,plain,
zero = divide(sF0,divide(sF1,g)),
inference(forward_demodulation,[],[f10339,f6099]) ).
fof(f10339,plain,
zero = divide(divide(sF0,divide(sF1,g)),zero),
inference(superposition,[],[f127,f9901]) ).
fof(f9901,plain,
zero = divide(divide(c,sF1),g),
inference(forward_demodulation,[],[f9900,f9785]) ).
fof(f9785,plain,
c = divide(identity,e),
inference(trivial_inequality_removal,[],[f9784]) ).
fof(f9784,plain,
( zero != zero
| c = divide(identity,e) ),
inference(backward_demodulation,[],[f7420,f9783]) ).
fof(f9783,plain,
! [X8] : zero = divide(divide(X8,e),c),
inference(forward_demodulation,[],[f9782,f6099]) ).
fof(f9782,plain,
! [X8] : zero = divide(divide(divide(X8,e),c),zero),
inference(forward_demodulation,[],[f9574,f35]) ).
fof(f9574,plain,
! [X8] : zero = divide(divide(divide(X8,e),c),divide(zero,c)),
inference(superposition,[],[f6108,f1929]) ).
fof(f1929,plain,
! [X1] : zero = divide(divide(X1,e),divide(c,e)),
inference(trivial_inequality_removal,[],[f1918]) ).
fof(f1918,plain,
! [X1] :
( zero != zero
| zero = divide(divide(X1,e),divide(c,e)) ),
inference(superposition,[],[f304,f492]) ).
fof(f492,plain,
! [X0] : zero = divide(divide(divide(X0,e),divide(c,e)),zero),
inference(forward_literal_rewriting,[],[f482,f1]) ).
fof(f482,plain,
! [X0] : less_equal(divide(divide(X0,e),divide(c,e)),zero),
inference(superposition,[],[f4,f339]) ).
fof(f339,plain,
! [X5] : zero = divide(divide(X5,c),e),
inference(trivial_inequality_removal,[],[f338]) ).
fof(f338,plain,
! [X5] :
( zero != zero
| zero = divide(divide(X5,c),e) ),
inference(forward_demodulation,[],[f307,f35]) ).
fof(f307,plain,
! [X5] :
( zero != divide(zero,divide(divide(X5,c),e))
| zero = divide(divide(X5,c),e) ),
inference(trivial_inequality_removal,[],[f290]) ).
fof(f290,plain,
! [X5] :
( zero != zero
| zero != divide(zero,divide(divide(X5,c),e))
| zero = divide(divide(X5,c),e) ),
inference(superposition,[],[f24,f143]) ).
fof(f143,plain,
! [X9] : zero = divide(divide(divide(X9,c),e),zero),
inference(forward_literal_rewriting,[],[f142,f1]) ).
fof(f142,plain,
! [X9] : less_equal(divide(divide(X9,c),e),zero),
inference(forward_demodulation,[],[f141,f35]) ).
fof(f141,plain,
! [X9] : less_equal(divide(divide(X9,c),e),divide(zero,c)),
inference(forward_demodulation,[],[f99,f36]) ).
fof(f99,plain,
! [X9] : less_equal(divide(divide(X9,c),e),divide(divide(X9,identity),c)),
inference(superposition,[],[f4,f11]) ).
fof(f7420,plain,
( zero != divide(divide(identity,e),c)
| c = divide(identity,e) ),
inference(superposition,[],[f312,f6563]) ).
fof(f6563,plain,
c = divide(divide(identity,e),a),
inference(forward_demodulation,[],[f6562,f6099]) ).
fof(f6562,plain,
divide(c,zero) = divide(divide(identity,e),a),
inference(trivial_inequality_removal,[],[f6561]) ).
fof(f6561,plain,
( zero != zero
| divide(c,zero) = divide(divide(identity,e),a) ),
inference(forward_demodulation,[],[f6352,f315]) ).
fof(f315,plain,
! [X3] : zero = divide(divide(X3,a),c),
inference(trivial_inequality_removal,[],[f314]) ).
fof(f314,plain,
! [X3] :
( zero != zero
| zero = divide(divide(X3,a),c) ),
inference(forward_demodulation,[],[f311,f35]) ).
fof(f311,plain,
! [X3] :
( zero != divide(zero,divide(divide(X3,a),c))
| zero = divide(divide(X3,a),c) ),
inference(trivial_inequality_removal,[],[f286]) ).
fof(f286,plain,
! [X3] :
( zero != zero
| zero != divide(zero,divide(divide(X3,a),c))
| zero = divide(divide(X3,a),c) ),
inference(superposition,[],[f24,f137]) ).
fof(f137,plain,
! [X7] : zero = divide(divide(divide(X7,a),c),zero),
inference(forward_literal_rewriting,[],[f136,f1]) ).
fof(f136,plain,
! [X7] : less_equal(divide(divide(X7,a),c),zero),
inference(forward_demodulation,[],[f135,f35]) ).
fof(f135,plain,
! [X7] : less_equal(divide(divide(X7,a),c),divide(zero,a)),
inference(forward_demodulation,[],[f97,f36]) ).
fof(f97,plain,
! [X7] : less_equal(divide(divide(X7,a),c),divide(divide(X7,identity),a)),
inference(superposition,[],[f4,f9]) ).
fof(f9,axiom,
divide(identity,a) = c,
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',identity_divide_a) ).
fof(f6352,plain,
( zero != divide(divide(divide(identity,e),a),c)
| divide(c,zero) = divide(divide(identity,e),a) ),
inference(backward_demodulation,[],[f2169,f6099]) ).
fof(f2169,plain,
( zero != divide(divide(divide(identity,e),a),divide(c,zero))
| divide(c,zero) = divide(divide(identity,e),a) ),
inference(trivial_inequality_removal,[],[f2166]) ).
fof(f2166,plain,
( zero != zero
| zero != divide(divide(divide(identity,e),a),divide(c,zero))
| divide(c,zero) = divide(divide(identity,e),a) ),
inference(superposition,[],[f24,f1407]) ).
fof(f1407,plain,
zero = divide(divide(c,zero),divide(divide(identity,e),a)),
inference(superposition,[],[f123,f1387]) ).
fof(f1387,plain,
zero = divide(e,a),
inference(forward_literal_rewriting,[],[f1376,f1]) ).
fof(f1376,plain,
less_equal(e,a),
inference(superposition,[],[f3,f1366]) ).
fof(f1366,plain,
e = divide(a,c),
inference(trivial_inequality_removal,[],[f1365]) ).
fof(f1365,plain,
( zero != zero
| e = divide(a,c) ),
inference(forward_demodulation,[],[f1358,f339]) ).
fof(f1358,plain,
( zero != divide(divide(a,c),e)
| e = divide(a,c) ),
inference(trivial_inequality_removal,[],[f1355]) ).
fof(f1355,plain,
( zero != zero
| zero != divide(divide(a,c),e)
| e = divide(a,c) ),
inference(superposition,[],[f24,f1338]) ).
fof(f1338,plain,
zero = divide(e,divide(a,c)),
inference(trivial_inequality_removal,[],[f1327]) ).
fof(f1327,plain,
( zero != zero
| zero = divide(e,divide(a,c)) ),
inference(superposition,[],[f304,f1312]) ).
fof(f1312,plain,
zero = divide(divide(e,divide(a,c)),zero),
inference(forward_demodulation,[],[f1290,f1183]) ).
fof(f1290,plain,
zero = divide(divide(e,divide(a,c)),divide(c,c)),
inference(superposition,[],[f125,f9]) ).
fof(f125,plain,
! [X9] : zero = divide(divide(e,divide(X9,c)),divide(divide(identity,X9),c)),
inference(forward_literal_rewriting,[],[f88,f1]) ).
fof(f88,plain,
! [X9] : less_equal(divide(e,divide(X9,c)),divide(divide(identity,X9),c)),
inference(superposition,[],[f4,f11]) ).
fof(f123,plain,
! [X7] : zero = divide(divide(c,divide(X7,a)),divide(divide(identity,X7),a)),
inference(forward_literal_rewriting,[],[f86,f1]) ).
fof(f86,plain,
! [X7] : less_equal(divide(c,divide(X7,a)),divide(divide(identity,X7),a)),
inference(superposition,[],[f4,f9]) ).
fof(f9900,plain,
zero = divide(divide(divide(identity,e),sF1),g),
inference(forward_demodulation,[],[f9899,f6099]) ).
fof(f9899,plain,
zero = divide(divide(divide(divide(identity,e),sF1),g),zero),
inference(forward_demodulation,[],[f9587,f35]) ).
fof(f9587,plain,
zero = divide(divide(divide(divide(identity,e),sF1),g),divide(zero,g)),
inference(superposition,[],[f6108,f2645]) ).
fof(f2645,plain,
zero = divide(divide(divide(identity,e),sF1),divide(g,e)),
inference(superposition,[],[f158,f15]) ).
fof(f158,plain,
! [X10] : zero = divide(divide(divide(identity,X10),divide(d,X10)),divide(g,X10)),
inference(forward_literal_rewriting,[],[f112,f1]) ).
fof(f112,plain,
! [X10] : less_equal(divide(divide(identity,X10),divide(d,X10)),divide(g,X10)),
inference(superposition,[],[f4,f12]) ).
fof(f127,plain,
! [X11] : zero = divide(divide(sF0,divide(X11,g)),divide(divide(c,X11),g)),
inference(forward_literal_rewriting,[],[f90,f1]) ).
fof(f90,plain,
! [X11] : less_equal(divide(sF0,divide(X11,g)),divide(divide(c,X11),g)),
inference(superposition,[],[f4,f14]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',quotient_smaller_than_numerator) ).
fof(f10451,plain,
( zero != divide(sF0,sF1)
| sF0 = sF1 ),
inference(superposition,[],[f312,f10417]) ).
fof(f16,plain,
sF0 != sF1,
inference(definition_folding,[],[f13,f15,f14]) ).
fof(f13,axiom,
divide(c,g) != divide(d,e),
file('/export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673',prove_commutativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN011-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 13:48:12 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.r5XMBfDnl3/Vampire---4.8_22673
% 0.15/0.36 % (22780)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (22783)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.42 % (22785)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.42 % (22782)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.42 % (22784)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.42 % (22787)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.42 % (22781)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.42 % (22786)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.60 % (22783)First to succeed.
% 0.22/0.60 % (22783)Refutation found. Thanks to Tanya!
% 0.22/0.60 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.60 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.60 % (22783)------------------------------
% 0.22/0.60 % (22783)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.60 % (22783)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.60 % (22783)Termination reason: Refutation
% 0.22/0.60
% 0.22/0.60 % (22783)Memory used [KB]: 6140
% 0.22/0.60 % (22783)Time elapsed: 0.181 s
% 0.22/0.60 % (22783)------------------------------
% 0.22/0.60 % (22783)------------------------------
% 0.22/0.60 % (22780)Success in time 0.24 s
% 0.22/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------