TSTP Solution File: AGT006+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : AGT006+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Sun May 5 04:09:38 EDT 2024
% Result : Theorem 81.36s 12.07s
% Output : Refutation 81.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 126 ( 72 unt; 0 def)
% Number of atoms : 317 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 300 ( 109 ~; 100 |; 73 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 33 ( 33 usr; 30 con; 0-2 aty)
% Number of variables : 151 ( 151 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1117290,plain,
$false,
inference(subsumption_resolution,[],[f1117286,f628621]) ).
fof(f628621,plain,
! [X0] : sP2(n7,rdn(rdnn(X0),rdnn(n6))),
inference(unit_resulting_resolution,[],[f799,f48217,f1262]) ).
fof(f1262,plain,
! [X2,X3,X0] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X0,rdn_pos(X2))
| sP2(X0,X3) ),
inference(cnf_transformation,[],[f1262_D]) ).
fof(f1262_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(f48217,plain,
! [X0,X1] : rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n6))),
inference(unit_resulting_resolution,[],[f1274,f1240]) ).
fof(f1240,plain,
! [X2,X0,X1] :
( ~ rdn_non_zero(X2)
| rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
inference(cnf_transformation,[],[f583]) ).
fof(f583,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f564]) ).
fof(f564,plain,
! [X0,X1,X2] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
inference(rectify,[],[f547]) ).
fof(f547,axiom,
! [X14,X11,X12] :
( rdn_non_zero(X12)
=> rdn_positive_less(rdnn(X14),rdn(rdnn(X11),X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
fof(f1274,plain,
rdn_non_zero(rdnn(n6)),
inference(unit_resulting_resolution,[],[f642,f1157]) ).
fof(f1157,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f581]) ).
fof(f581,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f559]) ).
fof(f559,plain,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
inference(rectify,[],[f548]) ).
fof(f548,axiom,
! [X6] :
( rdn_non_zero_digit(rdnn(X6))
=> rdn_non_zero(rdnn(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f642,plain,
rdn_non_zero_digit(rdnn(n6)),
inference(cnf_transformation,[],[f531]) ).
fof(f531,axiom,
rdn_non_zero_digit(rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit6) ).
fof(f799,plain,
rdn_translate(n7,rdn_pos(rdnn(n7))),
inference(cnf_transformation,[],[f277]) ).
fof(f277,axiom,
rdn_translate(n7,rdn_pos(rdnn(n7))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn7) ).
fof(f1117286,plain,
~ sP2(n7,rdn(rdnn(n5),rdnn(n6))),
inference(unit_resulting_resolution,[],[f1097,f1117100,f1263]) ).
fof(f1263,plain,
! [X3,X0,X1] :
( ~ sP2(X0,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| less(X0,X1) ),
inference(general_splitting,[],[f1250,f1262_D]) ).
fof(f1250,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,[],[f598]) ).
fof(f598,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,[],[f597]) ).
fof(f597,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,[],[f574]) ).
fof(f574,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,[],[f550]) ).
fof(f550,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/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f1117100,plain,
~ less(n7,n65),
inference(unit_resulting_resolution,[],[f1638,f1116950,f1252]) ).
fof(f1252,plain,
! [X2,X3,X0,X1] :
( ~ accept_population(X0,X3,X1)
| ~ less(X2,X1)
| accept_population(X0,X3,X2) ),
inference(cnf_transformation,[],[f602]) ).
fof(f602,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(flattening,[],[f601]) ).
fof(f601,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(ennf_transformation,[],[f576]) ).
fof(f576,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/benchmark/theBenchmark.p',a1_3) ).
fof(f1116950,plain,
~ accept_population(countrybcivilorganization,muslim,n7),
inference(unit_resulting_resolution,[],[f96950,f583629,f42348,f107519,f1106271,f1194]) ).
fof(f1194,plain,
! [X0] :
( ~ accept_population(X0,other,n4)
| accept_city(X0,suffertown)
| ~ accept_population(X0,native,n4)
| ~ accept_population(X0,muslim,n7)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n65) ),
inference(cnf_transformation,[],[f616]) ).
fof(f616,plain,
! [X0] :
( ( ( accept_population(X0,other,n4)
& accept_population(X0,native,n4)
& accept_population(X0,muslim,n7)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n65) )
| ~ accept_city(X0,suffertown) )
& ( accept_city(X0,suffertown)
| ~ accept_population(X0,other,n4)
| ~ accept_population(X0,native,n4)
| ~ accept_population(X0,muslim,n7)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n65) ) ),
inference(flattening,[],[f615]) ).
fof(f615,plain,
! [X0] :
( ( ( accept_population(X0,other,n4)
& accept_population(X0,native,n4)
& accept_population(X0,muslim,n7)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n65) )
| ~ accept_city(X0,suffertown) )
& ( accept_city(X0,suffertown)
| ~ accept_population(X0,other,n4)
| ~ accept_population(X0,native,n4)
| ~ accept_population(X0,muslim,n7)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n65) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( accept_population(X0,other,n4)
& accept_population(X0,native,n4)
& accept_population(X0,muslim,n7)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n65) )
<=> accept_city(X0,suffertown) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_1) ).
fof(f1106271,plain,
accept_population(countrybcivilorganization,native,n4),
inference(unit_resulting_resolution,[],[f291135,f1106193,f1252]) ).
fof(f1106193,plain,
less(n4,n77),
inference(unit_resulting_resolution,[],[f948,f597565,f1263]) ).
fof(f597565,plain,
! [X0] : sP2(n4,rdn(rdnn(X0),rdnn(n7))),
inference(unit_resulting_resolution,[],[f803,f48209,f1262]) ).
fof(f48209,plain,
! [X0,X1] : rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1266,f1240]) ).
fof(f1266,plain,
rdn_non_zero(rdnn(n7)),
inference(unit_resulting_resolution,[],[f635,f1157]) ).
fof(f635,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f532]) ).
fof(f532,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f803,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(cnf_transformation,[],[f274]) ).
fof(f274,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn4) ).
fof(f948,plain,
rdn_translate(n77,rdn_pos(rdn(rdnn(n7),rdnn(n7)))),
inference(cnf_transformation,[],[f347]) ).
fof(f347,axiom,
rdn_translate(n77,rdn_pos(rdn(rdnn(n7),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn77) ).
fof(f291135,plain,
accept_population(countrybcivilorganization,native,n77),
inference(unit_resulting_resolution,[],[f42336,f291094,f1252]) ).
fof(f291094,plain,
less(n77,n85),
inference(unit_resulting_resolution,[],[f1089,f217429,f1263]) ).
fof(f217429,plain,
! [X0] : sP2(n77,rdn(rdnn(X0),rdnn(n8))),
inference(unit_resulting_resolution,[],[f948,f95835,f1262]) ).
fof(f95835,plain,
! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n7)),rdn(rdnn(X1),rdnn(n8))),
inference(unit_resulting_resolution,[],[f781,f1248]) ).
fof(f1248,plain,
! [X2,X3,X0,X1] :
( ~ rdn_positive_less(X1,X3)
| rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
inference(cnf_transformation,[],[f594]) ).
fof(f594,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f572]) ).
fof(f572,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(X1,X3)
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ),
inference(rectify,[],[f545]) ).
fof(f545,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/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
fof(f781,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(cnf_transformation,[],[f542]) ).
fof(f542,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
fof(f1089,plain,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
inference(cnf_transformation,[],[f355]) ).
fof(f355,axiom,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn85) ).
fof(f42336,plain,
accept_population(countrybcivilorganization,native,n85),
inference(unit_resulting_resolution,[],[f42053,f1180]) ).
fof(f1180,plain,
! [X0] :
( ~ accept_city(X0,coastvillage)
| accept_population(X0,native,n85) ),
inference(cnf_transformation,[],[f610]) ).
fof(f610,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,[],[f609]) ).
fof(f609,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/benchmark/theBenchmark.p',a2_7) ).
fof(f42053,plain,
accept_city(countrybcivilorganization,coastvillage),
inference(unit_resulting_resolution,[],[f855,f1253]) ).
fof(f1253,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_city(X0,X1) ),
inference(cnf_transformation,[],[f632]) ).
fof(f632,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_number(X0,X2)
| ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1) )
& ( ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(flattening,[],[f631]) ).
fof(f631,plain,
! [X0,X1,X2,X3] :
( ( accept_team(X0,X3,X1,X2)
| ~ accept_number(X0,X2)
| ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1) )
& ( ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) )
| ~ accept_team(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( accept_team(X0,X3,X1,X2)
<=> ( accept_number(X0,X2)
& accept_leader(X0,X3)
& accept_city(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_1) ).
fof(f855,plain,
accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n6),
inference(cnf_transformation,[],[f95]) ).
fof(f95,axiom,
accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_75) ).
fof(f107519,plain,
accept_population(countrybcivilorganization,other,n4),
inference(unit_resulting_resolution,[],[f1636,f102255,f1252]) ).
fof(f102255,plain,
less(n4,n5),
inference(unit_resulting_resolution,[],[f804,f60282,f1263]) ).
fof(f60282,plain,
sP2(n4,rdnn(n5)),
inference(unit_resulting_resolution,[],[f784,f803,f1262]) ).
fof(f784,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f539]) ).
fof(f539,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f804,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f275]) ).
fof(f275,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn5) ).
fof(f1636,plain,
accept_population(countrybcivilorganization,other,n5),
inference(unit_resulting_resolution,[],[f1434,f1211]) ).
fof(f1211,plain,
! [X0] :
( ~ accept_city(X0,townc)
| accept_population(X0,other,n5) ),
inference(cnf_transformation,[],[f620]) ).
fof(f620,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,[],[f619]) ).
fof(f619,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/benchmark/theBenchmark.p',a2_13) ).
fof(f1434,plain,
accept_city(countrybcivilorganization,townc),
inference(unit_resulting_resolution,[],[f695,f1243]) ).
fof(f1243,plain,
! [X2,X0,X1] :
( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
| accept_city(X0,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f586,plain,
! [X0,X1,X2] :
( ( accept_city(X0,X2)
& accept_leader(X0,X1) )
| ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f566]) ).
fof(f566,plain,
! [X0,X1,X2] :
( the_agent_in_all_proposed_teams(X0,X1,X2)
=> ( accept_city(X0,X2)
& accept_leader(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X3,X1] :
( the_agent_in_all_proposed_teams(X0,X3,X1)
=> ( accept_city(X0,X1)
& accept_leader(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_4) ).
fof(f695,plain,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_80) ).
fof(f42348,plain,
accept_population(countrybcivilorganization,christian,n20),
inference(unit_resulting_resolution,[],[f42059,f1172]) ).
fof(f1172,plain,
! [X0] :
( ~ accept_city(X0,cityb)
| accept_population(X0,christian,n20) ),
inference(cnf_transformation,[],[f608]) ).
fof(f608,plain,
! [X0] :
( ( ( accept_population(X0,other,n1)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n78) )
| ~ accept_city(X0,cityb) )
& ( accept_city(X0,cityb)
| ~ accept_population(X0,other,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n78) ) ),
inference(flattening,[],[f607]) ).
fof(f607,plain,
! [X0] :
( ( ( accept_population(X0,other,n1)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n78) )
| ~ accept_city(X0,cityb) )
& ( accept_city(X0,cityb)
| ~ accept_population(X0,other,n1)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n1)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n78) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( accept_population(X0,other,n1)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n1)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n78) )
<=> accept_city(X0,cityb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_12) ).
fof(f42059,plain,
accept_city(countrybcivilorganization,cityb),
inference(unit_resulting_resolution,[],[f861,f1253]) ).
fof(f861,plain,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n6),
inference(cnf_transformation,[],[f181]) ).
fof(f181,axiom,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_161) ).
fof(f583629,plain,
accept_population(countrybcivilorganization,atheist,n65),
inference(unit_resulting_resolution,[],[f42349,f583544,f1252]) ).
fof(f583544,plain,
less(n65,n78),
inference(unit_resulting_resolution,[],[f1081,f218401,f1263]) ).
fof(f218401,plain,
! [X0] : sP2(n65,rdn(rdnn(X0),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1097,f95843,f1262]) ).
fof(f95843,plain,
! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n6)),rdn(rdnn(X1),rdnn(n7))),
inference(unit_resulting_resolution,[],[f788,f1248]) ).
fof(f788,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(cnf_transformation,[],[f541]) ).
fof(f541,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
fof(f1081,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(cnf_transformation,[],[f348]) ).
fof(f348,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
fof(f42349,plain,
accept_population(countrybcivilorganization,atheist,n78),
inference(unit_resulting_resolution,[],[f42059,f1171]) ).
fof(f1171,plain,
! [X0] :
( ~ accept_city(X0,cityb)
| accept_population(X0,atheist,n78) ),
inference(cnf_transformation,[],[f608]) ).
fof(f96950,plain,
~ accept_city(countrybcivilorganization,suffertown),
inference(unit_resulting_resolution,[],[f42617,f633,f42901,f1256]) ).
fof(f1256,plain,
! [X2,X3,X0,X1] :
( ~ accept_number(X0,X2)
| accept_team(X0,X3,X1,X2)
| ~ accept_leader(X0,X3)
| ~ accept_city(X0,X1) ),
inference(cnf_transformation,[],[f632]) ).
fof(f42901,plain,
accept_number(countrybcivilorganization,n4),
inference(unit_resulting_resolution,[],[f847,f1255]) ).
fof(f1255,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_number(X0,X2) ),
inference(cnf_transformation,[],[f632]) ).
fof(f847,plain,
accept_team(countrybcivilorganization,countrycmedicalorganization,towna,n4),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
accept_team(countrybcivilorganization,countrycmedicalorganization,towna,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_43) ).
fof(f633,plain,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
inference(cnf_transformation,[],[f558]) ).
fof(f558,plain,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
inference(flattening,[],[f557]) ).
fof(f557,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
inference(negated_conjecture,[],[f556]) ).
fof(f556,conjecture,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_6) ).
fof(f42617,plain,
accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
inference(unit_resulting_resolution,[],[f865,f1254]) ).
fof(f1254,plain,
! [X2,X3,X0,X1] :
( ~ accept_team(X0,X3,X1,X2)
| accept_leader(X0,X3) ),
inference(cnf_transformation,[],[f632]) ).
fof(f865,plain,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,towna,n6),
inference(cnf_transformation,[],[f226]) ).
fof(f226,axiom,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,towna,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_206) ).
fof(f1638,plain,
accept_population(countrybcivilorganization,muslim,n65),
inference(unit_resulting_resolution,[],[f1434,f1209]) ).
fof(f1209,plain,
! [X0] :
( ~ accept_city(X0,townc)
| accept_population(X0,muslim,n65) ),
inference(cnf_transformation,[],[f620]) ).
fof(f1097,plain,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
inference(cnf_transformation,[],[f335]) ).
fof(f335,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn65) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT006+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.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 : Fri May 3 19:22:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.36 % (9478)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (9481)WARNING: value z3 for option sas not known
% 0.21/0.39 % (9479)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (9481)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 theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (9483)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 theBenchmark for (531ds/0Mi)
% 0.21/0.39 % (9480)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (9482)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (9484)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 theBenchmark for (522ds/0Mi)
% 0.21/0.39 % (9485)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 theBenchmark for (497ds/0Mi)
% 0.21/0.43 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.46 TRYING [1]
% 0.21/0.47 TRYING [2]
% 0.21/0.49 TRYING [3]
% 0.21/0.53 TRYING [3]
% 1.93/0.64 TRYING [4]
% 2.12/0.69 TRYING [4]
% 4.22/1.01 TRYING [5]
% 7.94/1.53 TRYING [1]
% 8.25/1.54 TRYING [2]
% 8.25/1.60 TRYING [3]
% 9.92/1.78 TRYING [4]
% 10.24/1.87 TRYING [5]
% 12.42/2.15 TRYING [5]
% 13.04/2.26 TRYING [6]
% 17.28/2.84 TRYING [6]
% 23.94/3.84 TRYING [7]
% 28.14/4.46 TRYING [7]
% 44.62/6.78 TRYING [8]
% 46.12/6.99 TRYING [8]
% 68.97/10.27 TRYING [9]
% 81.36/12.05 % (9485)First to succeed.
% 81.36/12.06 % (9485)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9478"
% 81.36/12.07 % (9485)Refutation found. Thanks to Tanya!
% 81.36/12.07 % SZS status Theorem for theBenchmark
% 81.36/12.07 % SZS output start Proof for theBenchmark
% See solution above
% 81.36/12.07 % (9485)------------------------------
% 81.36/12.07 % (9485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 81.36/12.07 % (9485)Termination reason: Refutation
% 81.36/12.07
% 81.36/12.07 % (9485)Memory used [KB]: 96625
% 81.36/12.07 % (9485)Time elapsed: 11.667 s
% 81.36/12.07 % (9485)Instructions burned: 24365 (million)
% 81.36/12.07 % (9478)Success in time 11.648 s
%------------------------------------------------------------------------------