TSTP Solution File: AGT022+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT022+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 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 : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 15:56:01 EDT 2023
% Result : Theorem 12.56s 2.22s
% Output : Refutation 12.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 34
% Syntax : Number of formulae : 145 ( 53 unt; 0 def)
% Number of atoms : 398 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 430 ( 177 ~; 169 |; 64 &)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 5 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 26 con; 0-2 aty)
% Number of variables : 146 (; 140 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115223,plain,
$false,
inference(avatar_sat_refutation,[],[f63418,f67652,f73493,f74860,f115216]) ).
fof(f115216,plain,
spl0_85,
inference(avatar_contradiction_clause,[],[f115215]) ).
fof(f115215,plain,
( $false
| spl0_85 ),
inference(subsumption_resolution,[],[f115214,f22646]) ).
fof(f22646,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(resolution,[],[f3393,f1523]) ).
fof(f1523,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf_transformation,[],[f903]) ).
fof(f903,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn_positive_less12) ).
fof(f3393,plain,
! [X6] :
( ~ rdn_positive_less(rdnn(X6),rdnn(n2))
| rdn_positive_less(rdnn(X6),rdnn(n3)) ),
inference(resolution,[],[f1982,f1520]) ).
fof(f1520,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f904]) ).
fof(f904,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn_positive_less23) ).
fof(f1982,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(cnf_transformation,[],[f961]) ).
fof(f961,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(flattening,[],[f960]) ).
fof(f960,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(ennf_transformation,[],[f938]) ).
fof(f938,plain,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X0),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(rectify,[],[f911]) ).
fof(f911,axiom,
! [X6,X7,X8] :
( ( rdn_positive_less(rdnn(X7),rdnn(X8))
& rdn_positive_less(rdnn(X6),rdnn(X7)) )
=> rdn_positive_less(rdnn(X6),rdnn(X8)) ),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn_positive_less_transitivity) ).
fof(f115214,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
| spl0_85 ),
inference(subsumption_resolution,[],[f115144,f75309]) ).
fof(f75309,plain,
( ~ less(n12,n30)
| spl0_85 ),
inference(subsumption_resolution,[],[f73501,f1021]) ).
fof(f1021,plain,
accept_city(countryamedicalorganization,townc),
inference(cnf_transformation,[],[f289]) ).
fof(f289,axiom,
accept_city(countryamedicalorganization,townc),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',deduced_20) ).
fof(f73501,plain,
( ~ less(n12,n30)
| ~ accept_city(countryamedicalorganization,townc)
| spl0_85 ),
inference(resolution,[],[f21031,f2572]) ).
fof(f2572,plain,
! [X4,X5] :
( accept_population(X5,atheist,X4)
| ~ less(X4,n30)
| ~ accept_city(X5,townc) ),
inference(resolution,[],[f1987,f1960]) ).
fof(f1960,plain,
! [X0] :
( accept_population(X0,atheist,n30)
| ~ accept_city(X0,townc) ),
inference(cnf_transformation,[],[f994]) ).
fof(f994,plain,
! [X0] :
( ( ( accept_population(X0,other,n5)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,christian,n0)
& accept_population(X0,atheist,n30) )
| ~ accept_city(X0,townc) )
& ( accept_city(X0,townc)
| ~ accept_population(X0,other,n5)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n65)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,atheist,n30) ) ),
inference(flattening,[],[f993]) ).
fof(f993,plain,
! [X0] :
( ( ( accept_population(X0,other,n5)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,christian,n0)
& accept_population(X0,atheist,n30) )
| ~ accept_city(X0,townc) )
& ( accept_city(X0,townc)
| ~ accept_population(X0,other,n5)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n65)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,atheist,n30) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( accept_population(X0,other,n5)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n65)
& accept_population(X0,christian,n0)
& accept_population(X0,atheist,n30) )
<=> accept_city(X0,townc) ),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',a2_13) ).
fof(f1987,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| ~ less(X2,X1)
| accept_population(X0,X3,X2) ),
inference(cnf_transformation,[],[f970]) ).
fof(f970,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(flattening,[],[f969]) ).
fof(f969,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(ennf_transformation,[],[f943]) ).
fof(f943,plain,
! [X0,X1,X2,X3] :
( ( less(X2,X1)
& accept_population(X0,X3,X1) )
=> accept_population(X0,X3,X2) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X4,X5] :
( ( less(X4,X2)
& accept_population(X0,X5,X2) )
=> accept_population(X0,X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',a1_3) ).
fof(f21031,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| spl0_85 ),
inference(avatar_component_clause,[],[f21029]) ).
fof(f21029,plain,
( spl0_85
<=> accept_population(countryamedicalorganization,atheist,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f115144,plain,
( less(n12,n30)
| ~ rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(resolution,[],[f23671,f1828]) ).
fof(f1828,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf_transformation,[],[f649]) ).
fof(f649,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn12) ).
fof(f23671,plain,
! [X2,X3,X4] :
( ~ rdn_translate(X2,rdn_pos(rdn(rdnn(X3),X4)))
| less(X2,n30)
| ~ rdn_positive_less(X4,rdnn(n3)) ),
inference(resolution,[],[f3151,f1983]) ).
fof(f1983,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f962]) ).
fof(f962,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f939]) ).
fof(f939,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(X1,X3)
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
inference(rectify,[],[f912]) ).
fof(f912,axiom,
! [X9,X10,X11,X12] :
( rdn_positive_less(X10,X12)
=> rdn_positive_less(rdn(rdnn(X9),X10),rdn(rdnn(X11),X12)) ),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn_positive_less_multi_digit_high) ).
fof(f3151,plain,
! [X130,X131] :
( ~ rdn_positive_less(X130,rdn(rdnn(n0),rdnn(n3)))
| less(X131,n30)
| ~ rdn_translate(X131,rdn_pos(X130)) ),
inference(resolution,[],[f1985,f1833]) ).
fof(f1833,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
inference(cnf_transformation,[],[f667]) ).
fof(f667,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn30) ).
fof(f1985,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_positive_less(X2,X3)
| less(X0,X1)
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[f966]) ).
fof(f966,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(flattening,[],[f965]) ).
fof(f965,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(ennf_transformation,[],[f941]) ).
fof(f941,plain,
! [X0,X1,X2,X3] :
( ( rdn_positive_less(X2,X3)
& rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X0,rdn_pos(X2)) )
=> less(X0,X1) ),
inference(rectify,[],[f917]) ).
fof(f917,axiom,
! [X6,X7,X15,X16] :
( ( rdn_positive_less(X15,X16)
& rdn_translate(X7,rdn_pos(X16))
& rdn_translate(X6,rdn_pos(X15)) )
=> less(X6,X7) ),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',less_entry_point_pos_pos) ).
fof(f74860,plain,
spl0_281,
inference(avatar_contradiction_clause,[],[f74859]) ).
fof(f74859,plain,
( $false
| spl0_281 ),
inference(subsumption_resolution,[],[f63417,f66042]) ).
fof(f66042,plain,
less(n0,n1),
inference(resolution,[],[f23274,f1540]) ).
fof(f1540,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f637]) ).
fof(f637,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn0) ).
fof(f23274,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| less(X0,n1) ),
inference(resolution,[],[f3089,f1521]) ).
fof(f1521,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(cnf_transformation,[],[f902]) ).
fof(f902,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn_positive_less01) ).
fof(f3089,plain,
! [X6,X7] :
( ~ rdn_positive_less(X6,rdnn(n1))
| less(X7,n1)
| ~ rdn_translate(X7,rdn_pos(X6)) ),
inference(resolution,[],[f1985,f1542]) ).
fof(f1542,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f638]) ).
fof(f638,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn1) ).
fof(f63417,plain,
( ~ less(n0,n1)
| spl0_281 ),
inference(avatar_component_clause,[],[f63415]) ).
fof(f63415,plain,
( spl0_281
<=> less(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f73493,plain,
( ~ spl0_85
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f73437,f3820,f21029]) ).
fof(f3820,plain,
( spl0_84
<=> accept_city(countryamedicalorganization,sunsetpoint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f73437,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ spl0_84 ),
inference(subsumption_resolution,[],[f73436,f68088]) ).
fof(f68088,plain,
less(n3,n20),
inference(resolution,[],[f23668,f1537]) ).
fof(f1537,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f640]) ).
fof(f640,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn3) ).
fof(f23668,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n20) ),
inference(subsumption_resolution,[],[f23665,f2012]) ).
fof(f2012,plain,
rdn_non_zero(rdnn(n2)),
inference(resolution,[],[f1892,f1013]) ).
fof(f1013,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn_digit2) ).
fof(f1892,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f949]) ).
fof(f949,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f926]) ).
fof(f926,plain,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
inference(rectify,[],[f915]) ).
fof(f915,axiom,
! [X6] :
( rdn_non_zero_digit(rdnn(X6))
=> rdn_non_zero(rdnn(X6)) ),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn_non_zero_by_digit) ).
fof(f23665,plain,
! [X0,X1] :
( less(X0,n20)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n2)) ),
inference(resolution,[],[f3150,f1975]) ).
fof(f1975,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f951]) ).
fof(f951,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f931]) ).
fof(f931,plain,
! [X0,X1,X2] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
inference(rectify,[],[f914]) ).
fof(f914,axiom,
! [X14,X11,X12] :
( rdn_non_zero(X12)
=> rdn_positive_less(rdnn(X14),rdn(rdnn(X11),X12)) ),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn_extra_digits_positive_less) ).
fof(f3150,plain,
! [X128,X129] :
( ~ rdn_positive_less(X128,rdn(rdnn(n0),rdnn(n2)))
| less(X129,n20)
| ~ rdn_translate(X129,rdn_pos(X128)) ),
inference(resolution,[],[f1985,f1834]) ).
fof(f1834,plain,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
inference(cnf_transformation,[],[f657]) ).
fof(f657,axiom,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn20) ).
fof(f73436,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ less(n3,n20)
| ~ spl0_84 ),
inference(subsumption_resolution,[],[f73435,f3822]) ).
fof(f3822,plain,
( accept_city(countryamedicalorganization,sunsetpoint)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f3820]) ).
fof(f73435,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_city(countryamedicalorganization,sunsetpoint)
| ~ less(n3,n20) ),
inference(subsumption_resolution,[],[f21253,f1002]) ).
fof(f1002,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cnf_transformation,[],[f282]) ).
fof(f282,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',deduced_13) ).
fof(f21253,plain,
( accept_city(countryamedicalorganization,coastvillage)
| ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_city(countryamedicalorganization,sunsetpoint)
| ~ less(n3,n20) ),
inference(resolution,[],[f2932,f2724]) ).
fof(f2724,plain,
! [X208] :
( accept_population(countryamedicalorganization,christian,X208)
| ~ less(X208,n20) ),
inference(resolution,[],[f1987,f1330]) ).
fof(f1330,plain,
accept_population(countryamedicalorganization,christian,n20),
inference(cnf_transformation,[],[f480]) ).
fof(f480,axiom,
accept_population(countryamedicalorganization,christian,n20),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',deduced_211) ).
fof(f2932,plain,
! [X0] :
( ~ accept_population(X0,christian,n3)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,atheist,n12)
| ~ accept_city(X0,sunsetpoint) ),
inference(subsumption_resolution,[],[f2916,f1968]) ).
fof(f1968,plain,
! [X0] :
( accept_population(X0,muslim,n0)
| ~ accept_city(X0,sunsetpoint) ),
inference(cnf_transformation,[],[f996]) ).
fof(f996,plain,
! [X0] :
( ( ( accept_population(X0,other,n0)
& accept_population(X0,native,n100)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n0)
& accept_population(X0,atheist,n0) )
| ~ accept_city(X0,sunsetpoint) )
& ( accept_city(X0,sunsetpoint)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n100)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,atheist,n0) ) ),
inference(flattening,[],[f995]) ).
fof(f995,plain,
! [X0] :
( ( ( accept_population(X0,other,n0)
& accept_population(X0,native,n100)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n0)
& accept_population(X0,atheist,n0) )
| ~ accept_city(X0,sunsetpoint) )
& ( accept_city(X0,sunsetpoint)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n100)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,atheist,n0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( accept_population(X0,other,n0)
& accept_population(X0,native,n100)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n0)
& accept_population(X0,atheist,n0) )
<=> accept_city(X0,sunsetpoint) ),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',a2_8) ).
fof(f2916,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12)
| ~ accept_city(X0,sunsetpoint) ),
inference(resolution,[],[f1998,f1970]) ).
fof(f1970,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,sunsetpoint) ),
inference(cnf_transformation,[],[f996]) ).
fof(f1998,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) ),
inference(subsumption_resolution,[],[f1923,f1001]) ).
fof(f1001,plain,
! [X0,X1] : accept_population(X0,native,X1),
inference(cnf_transformation,[],[f948]) ).
fof(f948,plain,
! [X0,X1] : accept_population(X0,native,X1),
inference(ennf_transformation,[],[f925]) ).
fof(f925,plain,
~ ? [X0,X1] : ~ accept_population(X0,native,X1),
inference(rectify,[],[f924]) ).
fof(f924,negated_conjecture,
~ ? [X6,X7] : ~ accept_population(X6,native,X7),
inference(negated_conjecture,[],[f923]) ).
fof(f923,conjecture,
? [X6,X7] : ~ accept_population(X6,native,X7),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',query_22) ).
fof(f1923,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) ),
inference(cnf_transformation,[],[f982]) ).
fof(f982,plain,
! [X0] :
( ( ( accept_population(X0,other,n0)
& accept_population(X0,native,n85)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n3)
& accept_population(X0,atheist,n12) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) ) ),
inference(flattening,[],[f981]) ).
fof(f981,plain,
! [X0] :
( ( ( accept_population(X0,other,n0)
& accept_population(X0,native,n85)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n3)
& accept_population(X0,atheist,n12) )
| ~ accept_city(X0,coastvillage) )
& ( accept_city(X0,coastvillage)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( accept_population(X0,other,n0)
& accept_population(X0,native,n85)
& accept_population(X0,muslim,n0)
& accept_population(X0,christian,n3)
& accept_population(X0,atheist,n12) )
<=> accept_city(X0,coastvillage) ),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',a2_7) ).
fof(f67652,plain,
spl0_83,
inference(avatar_contradiction_clause,[],[f67651]) ).
fof(f67651,plain,
( $false
| spl0_83 ),
inference(subsumption_resolution,[],[f64194,f67560]) ).
fof(f67560,plain,
less(n0,n78),
inference(resolution,[],[f23626,f1540]) ).
fof(f23626,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| less(X0,n78) ),
inference(subsumption_resolution,[],[f23623,f2006]) ).
fof(f2006,plain,
rdn_non_zero(rdnn(n7)),
inference(resolution,[],[f1892,f1008]) ).
fof(f1008,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f899]) ).
fof(f899,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn_digit7) ).
fof(f23623,plain,
! [X0,X1] :
( less(X0,n78)
| ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
| ~ rdn_non_zero(rdnn(n7)) ),
inference(resolution,[],[f3142,f1975]) ).
fof(f3142,plain,
! [X113,X112] :
( ~ rdn_positive_less(X112,rdn(rdnn(n8),rdnn(n7)))
| less(X113,n78)
| ~ rdn_translate(X113,rdn_pos(X112)) ),
inference(resolution,[],[f1985,f1829]) ).
fof(f1829,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f715]) ).
fof(f715,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',rdn78) ).
fof(f64194,plain,
( ~ less(n0,n78)
| spl0_83 ),
inference(resolution,[],[f3818,f2720]) ).
fof(f2720,plain,
! [X204] :
( accept_population(countryamedicalorganization,atheist,X204)
| ~ less(X204,n78) ),
inference(resolution,[],[f1987,f1327]) ).
fof(f1327,plain,
accept_population(countryamedicalorganization,atheist,n78),
inference(cnf_transformation,[],[f481]) ).
fof(f481,axiom,
accept_population(countryamedicalorganization,atheist,n78),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',deduced_212) ).
fof(f3818,plain,
( ~ accept_population(countryamedicalorganization,atheist,n0)
| spl0_83 ),
inference(avatar_component_clause,[],[f3816]) ).
fof(f3816,plain,
( spl0_83
<=> accept_population(countryamedicalorganization,atheist,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f63418,plain,
( ~ spl0_281
| ~ spl0_83
| spl0_84 ),
inference(avatar_split_clause,[],[f62992,f3820,f3816,f63415]) ).
fof(f62992,plain,
( ~ accept_population(countryamedicalorganization,atheist,n0)
| ~ less(n0,n1)
| spl0_84 ),
inference(subsumption_resolution,[],[f62991,f1022]) ).
fof(f1022,plain,
accept_city(countryamedicalorganization,towna),
inference(cnf_transformation,[],[f496]) ).
fof(f496,axiom,
accept_city(countryamedicalorganization,towna),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',deduced_227) ).
fof(f62991,plain,
( ~ accept_population(countryamedicalorganization,atheist,n0)
| ~ accept_city(countryamedicalorganization,towna)
| ~ less(n0,n1)
| spl0_84 ),
inference(subsumption_resolution,[],[f62990,f1331]) ).
fof(f1331,plain,
accept_population(countryamedicalorganization,christian,n0),
inference(cnf_transformation,[],[f286]) ).
fof(f286,axiom,
accept_population(countryamedicalorganization,christian,n0),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',deduced_17) ).
fof(f62990,plain,
( ~ accept_population(countryamedicalorganization,christian,n0)
| ~ accept_population(countryamedicalorganization,atheist,n0)
| ~ accept_city(countryamedicalorganization,towna)
| ~ less(n0,n1)
| spl0_84 ),
inference(subsumption_resolution,[],[f23254,f3821]) ).
fof(f3821,plain,
( ~ accept_city(countryamedicalorganization,sunsetpoint)
| spl0_84 ),
inference(avatar_component_clause,[],[f3820]) ).
fof(f23254,plain,
( accept_city(countryamedicalorganization,sunsetpoint)
| ~ accept_population(countryamedicalorganization,christian,n0)
| ~ accept_population(countryamedicalorganization,atheist,n0)
| ~ accept_city(countryamedicalorganization,towna)
| ~ less(n0,n1) ),
inference(resolution,[],[f3049,f2727]) ).
fof(f2727,plain,
! [X211] :
( accept_population(countryamedicalorganization,muslim,X211)
| ~ less(X211,n1) ),
inference(resolution,[],[f1987,f1322]) ).
fof(f1322,plain,
accept_population(countryamedicalorganization,muslim,n1),
inference(cnf_transformation,[],[f491]) ).
fof(f491,axiom,
accept_population(countryamedicalorganization,muslim,n1),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',deduced_222) ).
fof(f3049,plain,
! [X1] :
( ~ accept_population(X1,muslim,n0)
| accept_city(X1,sunsetpoint)
| ~ accept_population(X1,christian,n0)
| ~ accept_population(X1,atheist,n0)
| ~ accept_city(X1,towna) ),
inference(resolution,[],[f2005,f1946]) ).
fof(f1946,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,towna) ),
inference(cnf_transformation,[],[f988]) ).
fof(f988,plain,
! [X0] :
( ( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n24)
& accept_population(X0,atheist,n75) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75) ) ),
inference(flattening,[],[f987]) ).
fof(f987,plain,
! [X0] :
( ( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n24)
& accept_population(X0,atheist,n75) )
| ~ accept_city(X0,towna) )
& ( accept_city(X0,towna)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n24)
| ~ accept_population(X0,atheist,n75) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( accept_population(X0,other,n0)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n24)
& accept_population(X0,atheist,n75) )
<=> accept_city(X0,towna) ),
file('/export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379',a2_9) ).
fof(f2005,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| accept_city(X0,sunsetpoint)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,atheist,n0) ),
inference(subsumption_resolution,[],[f1965,f1001]) ).
fof(f1965,plain,
! [X0] :
( accept_city(X0,sunsetpoint)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n100)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n0)
| ~ accept_population(X0,atheist,n0) ),
inference(cnf_transformation,[],[f996]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.18 % Problem : AGT022+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.20/0.19 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.20/0.41 % Computer : n025.cluster.edu
% 0.20/0.41 % Model : x86_64 x86_64
% 0.20/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.41 % Memory : 8042.1875MB
% 0.20/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.41 % CPULimit : 300
% 0.20/0.41 % WCLimit : 300
% 0.20/0.41 % DateTime : Sun Aug 27 17:44:39 EDT 2023
% 0.20/0.41 % CPUTime :
% 0.20/0.41 This is a FOF_THM_RFO_SEQ problem
% 0.20/0.41 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.YJIsDUvOxT/Vampire---4.8_379
% 0.20/0.42 % (624)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.50 % (625)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.27/0.50 % (634)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.27/0.50 % (637)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.27/0.50 % (638)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.27/0.50 % (630)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.27/0.50 % (626)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.27/0.50 % (636)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.27/0.51 % (638)Refutation not found, incomplete strategy% (638)------------------------------
% 0.27/0.51 % (638)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.27/0.51 % (638)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.27/0.51 % (638)Termination reason: Refutation not found, incomplete strategy
% 0.27/0.51
% 0.27/0.51 % (638)Memory used [KB]: 6780
% 0.27/0.51 % (638)Time elapsed: 0.016 s
% 0.27/0.51 % (638)------------------------------
% 0.27/0.51 % (638)------------------------------
% 0.27/0.52 % (625)Refutation not found, incomplete strategy% (625)------------------------------
% 0.27/0.52 % (625)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.27/0.52 % (625)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.27/0.52 % (625)Termination reason: Refutation not found, incomplete strategy
% 0.27/0.52
% 0.27/0.52 % (625)Memory used [KB]: 7164
% 0.27/0.52 % (625)Time elapsed: 0.023 s
% 0.27/0.52 % (625)------------------------------
% 0.27/0.52 % (625)------------------------------
% 0.27/0.56 % (639)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 0.27/0.58 % (640)lrs+1010_5:1_bd=off:fsd=off:fde=unused:lcm=predicate:nm=64:nwc=1.7:sac=on:sp=frequency:tgt=ground:stl=62_333 on Vampire---4 for (333ds/0Mi)
% 12.56/2.21 % (640)First to succeed.
% 12.56/2.22 % (640)Refutation found. Thanks to Tanya!
% 12.56/2.22 % SZS status Theorem for Vampire---4
% 12.56/2.22 % SZS output start Proof for Vampire---4
% See solution above
% 12.56/2.22 % (640)------------------------------
% 12.56/2.22 % (640)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 12.56/2.22 % (640)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 12.56/2.22 % (640)Termination reason: Refutation
% 12.56/2.22
% 12.56/2.22 % (640)Memory used [KB]: 45542
% 12.56/2.22 % (640)Time elapsed: 1.635 s
% 12.56/2.22 % (640)------------------------------
% 12.56/2.22 % (640)------------------------------
% 12.56/2.22 % (624)Success in time 1.788 s
% 12.56/2.22 % Vampire---4.8 exiting
%------------------------------------------------------------------------------