TSTP Solution File: AGT022+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n001.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 12:36:07 EDT 2023
% Result : Theorem 100.77s 15.01s
% Output : Refutation 100.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 85 ( 55 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 138 ( 59 ~; 47 |; 20 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-2 aty)
% Number of variables : 105 (; 99 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1325720,plain,
$false,
inference(subsumption_resolution,[],[f1325716,f1122801]) ).
fof(f1122801,plain,
! [X0] : sP2(n3,rdn(rdnn(X0),rdnn(n2))),
inference(unit_resulting_resolution,[],[f1538,f82246,f2002]) ).
fof(f2002,plain,
! [X2,X3,X0] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X0,rdn_pos(X2))
| sP2(X0,X3) ),
inference(cnf_transformation,[],[f2002_D]) ).
fof(f2002_D,plain,
! [X3,X0] :
( ! [X2] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X0,rdn_pos(X2)) )
<=> ~ sP2(X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f82246,plain,
! [X0,X1] : rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n2))),
inference(unit_resulting_resolution,[],[f2025,f1980]) ).
fof(f1980,plain,
! [X2,X0,X1] :
( ~ rdn_non_zero(X2)
| rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
inference(cnf_transformation,[],[f948]) ).
fof(f948,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn_extra_digits_positive_less) ).
fof(f2025,plain,
rdn_non_zero(rdnn(n2)),
inference(unit_resulting_resolution,[],[f1014,f1893]) ).
fof(f1893,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f945]) ).
fof(f945,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn_non_zero_by_digit) ).
fof(f1014,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f894]) ).
fof(f894,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn_digit2) ).
fof(f1538,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn3) ).
fof(f1325716,plain,
~ sP2(n3,rdn(rdnn(n0),rdnn(n2))),
inference(unit_resulting_resolution,[],[f1835,f1325566,f2003]) ).
fof(f2003,plain,
! [X3,X0,X1] :
( ~ sP2(X0,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| less(X0,X1) ),
inference(general_splitting,[],[f1991,f2002_D]) ).
fof(f1991,plain,
! [X2,X3,X0,X1] :
( less(X0,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_pos(X2)) ),
inference(cnf_transformation,[],[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(flattening,[],[f964]) ).
fof(f964,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',less_entry_point_pos_pos) ).
fof(f1325566,plain,
~ less(n3,n20),
inference(unit_resulting_resolution,[],[f1331,f1325426,f1993]) ).
fof(f1993,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| ~ less(X2,X1)
| accept_population(X0,X3,X2) ),
inference(cnf_transformation,[],[f969]) ).
fof(f969,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(flattening,[],[f968]) ).
fof(f968,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',a1_3) ).
fof(f1325426,plain,
~ accept_population(countryamedicalorganization,christian,n3),
inference(unit_resulting_resolution,[],[f1003,f1325,f248786,f948149,f2011]) ).
fof(f2011,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,[],[f1924,f1002]) ).
fof(f1002,plain,
! [X0,X1] : accept_population(X0,native,X1),
inference(cnf_transformation,[],[f944]) ).
fof(f944,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',query_22) ).
fof(f1924,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,[],[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(flattening,[],[f980]) ).
fof(f980,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',a2_7) ).
fof(f948149,plain,
accept_population(countryamedicalorganization,atheist,n12),
inference(unit_resulting_resolution,[],[f867696,f944529,f1993]) ).
fof(f944529,plain,
accept_population(countryamedicalorganization,atheist,n27),
inference(unit_resulting_resolution,[],[f1329,f943481,f1993]) ).
fof(f943481,plain,
less(n27,n30),
inference(unit_resulting_resolution,[],[f1834,f650778,f2003]) ).
fof(f650778,plain,
! [X0] : sP2(n27,rdn(rdnn(X0),rdnn(n3))),
inference(unit_resulting_resolution,[],[f1700,f170706,f2002]) ).
fof(f170706,plain,
! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n2)),rdn(rdnn(X1),rdnn(n3))),
inference(unit_resulting_resolution,[],[f1521,f1989]) ).
fof(f1989,plain,
! [X2,X3,X0,X1] :
( ~ rdn_positive_less(X1,X3)
| rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
inference(cnf_transformation,[],[f961]) ).
fof(f961,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn_positive_less_multi_digit_high) ).
fof(f1521,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn_positive_less23) ).
fof(f1700,plain,
rdn_translate(n27,rdn_pos(rdn(rdnn(n7),rdnn(n2)))),
inference(cnf_transformation,[],[f664]) ).
fof(f664,axiom,
rdn_translate(n27,rdn_pos(rdn(rdnn(n7),rdnn(n2)))),
file('/export/starexec/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn27) ).
fof(f1834,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn30) ).
fof(f1329,plain,
accept_population(countryamedicalorganization,atheist,n30),
inference(cnf_transformation,[],[f287]) ).
fof(f287,axiom,
accept_population(countryamedicalorganization,atheist,n30),
file('/export/starexec/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',deduced_18) ).
fof(f867696,plain,
less(n12,n27),
inference(unit_resulting_resolution,[],[f1700,f649571,f2003]) ).
fof(f649571,plain,
! [X0] : sP2(n12,rdn(rdnn(X0),rdnn(n2))),
inference(unit_resulting_resolution,[],[f1829,f170703,f2002]) ).
fof(f170703,plain,
! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n1)),rdn(rdnn(X1),rdnn(n2))),
inference(unit_resulting_resolution,[],[f1524,f1989]) ).
fof(f1524,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn_positive_less12) ).
fof(f1829,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn12) ).
fof(f248786,plain,
accept_population(countryamedicalorganization,muslim,n0),
inference(unit_resulting_resolution,[],[f1323,f248752,f1993]) ).
fof(f248752,plain,
less(n0,n1),
inference(unit_resulting_resolution,[],[f1543,f100360,f2003]) ).
fof(f100360,plain,
sP2(n0,rdnn(n1)),
inference(unit_resulting_resolution,[],[f1522,f1541,f2002]) ).
fof(f1541,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn0) ).
fof(f1522,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn_positive_less01) ).
fof(f1543,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn1) ).
fof(f1323,plain,
accept_population(countryamedicalorganization,muslim,n1),
inference(cnf_transformation,[],[f491]) ).
fof(f491,axiom,
accept_population(countryamedicalorganization,muslim,n1),
file('/export/starexec/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',deduced_222) ).
fof(f1325,plain,
accept_population(countryamedicalorganization,other,n0),
inference(cnf_transformation,[],[f489]) ).
fof(f489,axiom,
accept_population(countryamedicalorganization,other,n0),
file('/export/starexec/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',deduced_220) ).
fof(f1003,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cnf_transformation,[],[f282]) ).
fof(f282,axiom,
~ accept_city(countryamedicalorganization,coastvillage),
file('/export/starexec/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',deduced_13) ).
fof(f1331,plain,
accept_population(countryamedicalorganization,christian,n20),
inference(cnf_transformation,[],[f480]) ).
fof(f480,axiom,
accept_population(countryamedicalorganization,christian,n20),
file('/export/starexec/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',deduced_211) ).
fof(f1835,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/sandbox2/tmp/tmp.eK5y0oGCgy/Vampire---4.8_15132',rdn20) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : AGT022+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 17:11:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.17/0.40 % (15375)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.41 % (15376)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.41 % (15383)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)
% 0.17/0.41 % (15379)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.41 % (15377)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.41 % (15381)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)
% 0.17/0.41 % (15382)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)
% 0.17/0.41 % (15378)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)
% 0.17/0.45 TRYING [1]
% 0.17/0.45 TRYING [2]
% 0.17/0.45 TRYING [1]
% 0.17/0.46 TRYING [2]
% 0.17/0.50 TRYING [3]
% 0.17/0.56 TRYING [3]
% 0.17/0.72 TRYING [4]
% 3.09/0.93 TRYING [4]
% 5.92/1.24 TRYING [5]
% 7.46/1.54 TRYING [1]
% 7.46/1.55 TRYING [2]
% 7.46/1.58 TRYING [5]
% 7.46/1.61 TRYING [3]
% 9.34/1.81 TRYING [4]
% 12.11/2.20 TRYING [5]
% 13.31/2.45 TRYING [6]
% 17.37/2.91 TRYING [6]
% 26.10/4.19 TRYING [7]
% 28.76/4.61 TRYING [7]
% 45.97/7.22 TRYING [8]
% 49.42/7.59 TRYING [8]
% 75.53/11.34 TRYING [9]
% 84.60/12.71 TRYING [9]
% 100.32/14.99 % (15383)First to succeed.
% 100.77/15.01 % (15383)Refutation found. Thanks to Tanya!
% 100.77/15.01 % SZS status Theorem for Vampire---4
% 100.77/15.01 % SZS output start Proof for Vampire---4
% See solution above
% 100.77/15.01 % (15383)------------------------------
% 100.77/15.01 % (15383)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 100.77/15.01 % (15383)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 100.77/15.01 % (15383)Termination reason: Refutation
% 100.77/15.01
% 100.77/15.01 % (15383)Memory used [KB]: 156458
% 100.77/15.01 % (15383)Time elapsed: 14.582 s
% 100.77/15.01 % (15383)------------------------------
% 100.77/15.01 % (15383)------------------------------
% 100.77/15.01 % (15375)Success in time 14.576 s
% 100.77/15.01 % Vampire---4.8 exiting
%------------------------------------------------------------------------------