TSTP Solution File: MGT045-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT045-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 19:45:27 EDT 2023
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 54
% Syntax : Number of formulae : 128 ( 21 unt; 0 def)
% Number of atoms : 348 ( 29 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 378 ( 158 ~; 183 |; 0 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 38 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 121 (; 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f245,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f27,f32,f36,f40,f44,f48,f52,f56,f60,f69,f73,f77,f82,f86,f96,f100,f104,f111,f118,f127,f136,f141,f146,f150,f161,f167,f171,f183,f187,f194,f198,f216,f221,f227,f232,f244]) ).
fof(f244,plain,
( spl0_3
| ~ spl0_1
| ~ spl0_16
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f128,f124,f94,f19,f29]) ).
fof(f29,plain,
( spl0_3
<=> greater(position(sk1,sk3),position(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f19,plain,
( spl0_1
<=> organization(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f94,plain,
( spl0_16
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| greater(position(X0,X1),position(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f124,plain,
( spl0_21
<=> greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f128,plain,
( ~ organization(sk1)
| greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_16
| ~ spl0_21 ),
inference(resolution,[],[f126,f95]) ).
fof(f95,plain,
( ! [X2,X0,X1] :
( ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0)
| greater(position(X0,X1),position(X0,X2)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f126,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f232,plain,
( spl0_37
| ~ spl0_4
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f163,f158,f34,f229]) ).
fof(f229,plain,
( spl0_37
<=> smaller_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f34,plain,
( spl0_4
<=> ! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f158,plain,
( spl0_27
<=> smaller(position(sk1,sk3),position(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f163,plain,
( smaller_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_4
| ~ spl0_27 ),
inference(resolution,[],[f160,f35]) ).
fof(f35,plain,
( ! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f160,plain,
( smaller(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f227,plain,
( spl0_36
| ~ spl0_8
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f162,f158,f50,f224]) ).
fof(f224,plain,
( spl0_36
<=> greater(position(sk1,sk2),position(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f50,plain,
( spl0_8
<=> ! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f162,plain,
( greater(position(sk1,sk2),position(sk1,sk3))
| ~ spl0_8
| ~ spl0_27 ),
inference(resolution,[],[f160,f51]) ).
fof(f51,plain,
( ! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f221,plain,
( spl0_35
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f132,f124,f42,f218]) ).
fof(f218,plain,
( spl0_35
<=> greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f42,plain,
( spl0_6
<=> ! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f132,plain,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_6
| ~ spl0_21 ),
inference(resolution,[],[f126,f43]) ).
fof(f43,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f216,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f131,f124,f54,f213]) ).
fof(f213,plain,
( spl0_34
<=> smaller(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f54,plain,
( spl0_9
<=> ! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f131,plain,
( smaller(external_ties(sk1,sk2),external_ties(sk1,sk3))
| ~ spl0_9
| ~ spl0_21 ),
inference(resolution,[],[f126,f55]) ).
fof(f55,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f198,plain,
( spl0_33
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f113,f102,f84,f196]) ).
fof(f196,plain,
( spl0_33
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| greater(external_ties(X0,X1),external_ties(X0,X2))
| smaller(age(X0,X1),age(X0,X2))
| age(X0,X1) = age(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f84,plain,
( spl0_15
<=> ! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f102,plain,
( spl0_18
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(external_ties(X0,X1),external_ties(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f113,plain,
( ! [X2,X0,X1] :
( ~ organization(X0)
| greater(external_ties(X0,X1),external_ties(X0,X2))
| smaller(age(X0,X1),age(X0,X2))
| age(X0,X1) = age(X0,X2) )
| ~ spl0_15
| ~ spl0_18 ),
inference(resolution,[],[f103,f85]) ).
fof(f85,plain,
( ! [X0,X1] :
( greater(X0,X1)
| smaller(X0,X1)
| X0 = X1 )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f103,plain,
( ! [X2,X0,X1] :
( ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0)
| greater(external_ties(X0,X1),external_ties(X0,X2)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f194,plain,
( spl0_32
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f105,f94,f84,f192]) ).
fof(f192,plain,
( spl0_32
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| greater(position(X0,X1),position(X0,X2))
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f105,plain,
( ! [X2,X0,X1] :
( ~ organization(X0)
| greater(position(X0,X1),position(X0,X2))
| smaller(external_ties(X0,X1),external_ties(X0,X2))
| external_ties(X0,X1) = external_ties(X0,X2) )
| ~ spl0_15
| ~ spl0_16 ),
inference(resolution,[],[f95,f85]) ).
fof(f187,plain,
( spl0_31
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f89,f84,f75,f185]) ).
fof(f185,plain,
( spl0_31
<=> ! [X2,X0,X1] :
( smaller(X0,X1)
| X0 = X1
| ~ greater(X2,X0)
| greater(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f75,plain,
( spl0_13
<=> ! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f89,plain,
( ! [X2,X0,X1] :
( smaller(X0,X1)
| X0 = X1
| ~ greater(X2,X0)
| greater(X2,X1) )
| ~ spl0_13
| ~ spl0_15 ),
inference(resolution,[],[f85,f76]) ).
fof(f76,plain,
( ! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f183,plain,
( ~ spl0_30
| ~ spl0_10
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f130,f124,f58,f180]) ).
fof(f180,plain,
( spl0_30
<=> greater(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f58,plain,
( spl0_10
<=> ! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f130,plain,
( ~ greater(external_ties(sk1,sk2),external_ties(sk1,sk3))
| ~ spl0_10
| ~ spl0_21 ),
inference(resolution,[],[f126,f59]) ).
fof(f59,plain,
( ! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f171,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f92,f84,f42,f169]) ).
fof(f169,plain,
( spl0_29
<=> ! [X8,X7] :
( smaller(X7,X8)
| X7 = X8
| greater_or_equal(X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f92,plain,
( ! [X8,X7] :
( smaller(X7,X8)
| X7 = X8
| greater_or_equal(X7,X8) )
| ~ spl0_6
| ~ spl0_15 ),
inference(resolution,[],[f85,f43]) ).
fof(f167,plain,
( spl0_28
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f91,f84,f54,f165]) ).
fof(f165,plain,
( spl0_28
<=> ! [X6,X5] :
( smaller(X5,X6)
| X5 = X6
| smaller(X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f91,plain,
( ! [X6,X5] :
( smaller(X5,X6)
| X5 = X6
| smaller(X6,X5) )
| ~ spl0_9
| ~ spl0_15 ),
inference(resolution,[],[f85,f55]) ).
fof(f161,plain,
( spl0_26
| spl0_27
| spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f88,f84,f29,f158,f154]) ).
fof(f154,plain,
( spl0_26
<=> position(sk1,sk3) = position(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f88,plain,
( smaller(position(sk1,sk3),position(sk1,sk2))
| position(sk1,sk3) = position(sk1,sk2)
| spl0_3
| ~ spl0_15 ),
inference(resolution,[],[f85,f31]) ).
fof(f31,plain,
( ~ greater(position(sk1,sk3),position(sk1,sk2))
| spl0_3 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f150,plain,
( spl0_25
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f63,f46,f148]) ).
fof(f148,plain,
( spl0_25
<=> ! [X0] : greater_or_equal(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f46,plain,
( spl0_7
<=> ! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f63,plain,
( ! [X0] : greater_or_equal(X0,X0)
| ~ spl0_7 ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
( ! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f146,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f121,f108,f34,f143]) ).
fof(f143,plain,
( spl0_24
<=> smaller_or_equal(age(sk1,sk2),age(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f108,plain,
( spl0_19
<=> smaller(age(sk1,sk2),age(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f121,plain,
( smaller_or_equal(age(sk1,sk2),age(sk1,sk3))
| ~ spl0_4
| ~ spl0_19 ),
inference(resolution,[],[f110,f35]) ).
fof(f110,plain,
( smaller(age(sk1,sk2),age(sk1,sk3))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f141,plain,
( spl0_23
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f61,f38,f139]) ).
fof(f139,plain,
( spl0_23
<=> ! [X0] : smaller_or_equal(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f38,plain,
( spl0_5
<=> ! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f61,plain,
( ! [X0] : smaller_or_equal(X0,X0)
| ~ spl0_5 ),
inference(equality_resolution,[],[f39]) ).
fof(f39,plain,
( ! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f136,plain,
( spl0_22
| ~ spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f87,f75,f24,f134]) ).
fof(f134,plain,
( spl0_22
<=> ! [X0] :
( ~ greater(X0,age(sk1,sk3))
| greater(X0,age(sk1,sk2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f24,plain,
( spl0_2
<=> greater(age(sk1,sk3),age(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f87,plain,
( ! [X0] :
( ~ greater(X0,age(sk1,sk3))
| greater(X0,age(sk1,sk2)) )
| ~ spl0_2
| ~ spl0_13 ),
inference(resolution,[],[f76,f26]) ).
fof(f26,plain,
( greater(age(sk1,sk3),age(sk1,sk2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f127,plain,
( spl0_21
| ~ spl0_1
| ~ spl0_2
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f112,f102,f24,f19,f124]) ).
fof(f112,plain,
( ~ organization(sk1)
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_2
| ~ spl0_18 ),
inference(resolution,[],[f103,f26]) ).
fof(f118,plain,
( ~ spl0_20
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f65,f58,f24,f115]) ).
fof(f115,plain,
( spl0_20
<=> greater(age(sk1,sk2),age(sk1,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f65,plain,
( ~ greater(age(sk1,sk2),age(sk1,sk3))
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f59,f26]) ).
fof(f111,plain,
( spl0_19
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f64,f54,f24,f108]) ).
fof(f64,plain,
( smaller(age(sk1,sk2),age(sk1,sk3))
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f55,f26]) ).
fof(f104,plain,
spl0_18,
inference(avatar_split_clause,[],[f14,f102]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(external_ties(X0,X1),external_ties(X0,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',assumption_8_32) ).
fof(f100,plain,
spl0_17,
inference(avatar_split_clause,[],[f13,f98]) ).
fof(f98,plain,
( spl0_17
<=> ! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',assumption_6_31) ).
fof(f96,plain,
spl0_16,
inference(avatar_split_clause,[],[f12,f94]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| greater(position(X0,X1),position(X0,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',assumption_6_30) ).
fof(f86,plain,
spl0_15,
inference(avatar_split_clause,[],[f11,f84]) ).
fof(f11,axiom,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| greater(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',meaning_postulate_greater_comparable_11) ).
fof(f82,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f62,f42,f24,f79]) ).
fof(f79,plain,
( spl0_14
<=> greater_or_equal(age(sk1,sk3),age(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f62,plain,
( greater_or_equal(age(sk1,sk3),age(sk1,sk2))
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f43,f26]) ).
fof(f77,plain,
spl0_13,
inference(avatar_split_clause,[],[f10,f75]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',meaning_postulate_greater_transitive_10) ).
fof(f73,plain,
spl0_12,
inference(avatar_split_clause,[],[f4,f71]) ).
fof(f71,plain,
( spl0_12
<=> ! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',definition_greater_or_equal_4) ).
fof(f69,plain,
spl0_11,
inference(avatar_split_clause,[],[f1,f67]) ).
fof(f67,plain,
( spl0_11
<=> ! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',definition_smaller_or_equal_1) ).
fof(f60,plain,
spl0_10,
inference(avatar_split_clause,[],[f9,f58]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',meaning_postulate_greater_strict_9) ).
fof(f56,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f54]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',definition_smaller_8) ).
fof(f52,plain,
spl0_8,
inference(avatar_split_clause,[],[f7,f50]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',definition_smaller_7) ).
fof(f48,plain,
spl0_7,
inference(avatar_split_clause,[],[f6,f46]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',definition_greater_or_equal_6) ).
fof(f44,plain,
spl0_6,
inference(avatar_split_clause,[],[f5,f42]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',definition_greater_or_equal_5) ).
fof(f40,plain,
spl0_5,
inference(avatar_split_clause,[],[f3,f38]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',definition_smaller_or_equal_3) ).
fof(f36,plain,
spl0_4,
inference(avatar_split_clause,[],[f2,f34]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',definition_smaller_or_equal_2) ).
fof(f32,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f17,f29]) ).
fof(f17,axiom,
~ greater(position(sk1,sk3),position(sk1,sk2)),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',lemma_4_35) ).
fof(f27,plain,
spl0_2,
inference(avatar_split_clause,[],[f16,f24]) ).
fof(f16,axiom,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',lemma_4_34) ).
fof(f22,plain,
spl0_1,
inference(avatar_split_clause,[],[f15,f19]) ).
fof(f15,axiom,
organization(sk1),
file('/export/starexec/sandbox2/tmp/tmp.9wfBlCtzsm/Vampire---4.8_22865',lemma_4_33) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT045-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 30 17:02:00 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.42 % (23026)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (23073)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (23074)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (23076)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (23075)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (23077)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.43 % (23078)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.43 % (23079)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [3]
% 0.22/0.44 % (23077)First to succeed.
% 0.22/0.44 TRYING [4]
% 0.22/0.44 % (23077)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (23077)------------------------------
% 0.22/0.44 % (23077)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (23077)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (23077)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (23077)Memory used [KB]: 5500
% 0.22/0.44 % (23077)Time elapsed: 0.008 s
% 0.22/0.44 % (23077)------------------------------
% 0.22/0.44 % (23077)------------------------------
% 0.22/0.44 % (23026)Success in time 0.068 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------