TSTP Solution File: AGT010+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : AGT010+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 : n007.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 04:09:39 EDT 2024
% Result : Theorem 52.89s 7.91s
% Output : Refutation 52.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 31
% Syntax : Number of formulae : 121 ( 62 unt; 0 def)
% Number of atoms : 320 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 315 ( 116 ~; 102 |; 75 &)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-4 aty)
% Number of functors : 33 ( 33 usr; 30 con; 0-2 aty)
% Number of variables : 161 ( 161 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1248964,plain,
$false,
inference(unit_resulting_resolution,[],[f802,f48215,f416459,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(f416459,plain,
~ sP2(n3,rdn(rdnn(n0),rdnn(n2))),
inference(unit_resulting_resolution,[],[f1099,f416311,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(f416311,plain,
~ less(n3,n20),
inference(unit_resulting_resolution,[],[f1619,f416174,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(f416174,plain,
~ accept_population(countryamedicalorganization,christian,n3),
inference(unit_resulting_resolution,[],[f59986,f42315,f107540,f633,f403013,f1176]) ).
fof(f1176,plain,
! [X0] :
( ~ accept_population(X0,other,n0)
| accept_city(X0,coastvillage)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) ),
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(f403013,plain,
accept_population(countryamedicalorganization,atheist,n12),
inference(unit_resulting_resolution,[],[f365086,f401955,f1252]) ).
fof(f401955,plain,
accept_population(countryamedicalorganization,atheist,n27),
inference(unit_resulting_resolution,[],[f42329,f401919,f1252]) ).
fof(f401919,plain,
less(n27,n30),
inference(unit_resulting_resolution,[],[f1093,f218583,f1263]) ).
fof(f218583,plain,
! [X0] : sP2(n27,rdn(rdnn(X0),rdnn(n3))),
inference(unit_resulting_resolution,[],[f961,f95888,f1262]) ).
fof(f95888,plain,
! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n2)),rdn(rdnn(X1),rdnn(n3))),
inference(unit_resulting_resolution,[],[f786,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(f786,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f537]) ).
fof(f537,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f961,plain,
rdn_translate(n27,rdn_pos(rdn(rdnn(n7),rdnn(n2)))),
inference(cnf_transformation,[],[f297]) ).
fof(f297,axiom,
rdn_translate(n27,rdn_pos(rdn(rdnn(n7),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn27) ).
fof(f1093,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
inference(cnf_transformation,[],[f300]) ).
fof(f300,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn30) ).
fof(f42329,plain,
accept_population(countryamedicalorganization,atheist,n30),
inference(unit_resulting_resolution,[],[f42051,f1207]) ).
fof(f1207,plain,
! [X0] :
( ~ accept_city(X0,townc)
| accept_population(X0,atheist,n30) ),
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(f42051,plain,
accept_city(countryamedicalorganization,townc),
inference(unit_resulting_resolution,[],[f821,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(f821,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
inference(cnf_transformation,[],[f146]) ).
fof(f146,axiom,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_126) ).
fof(f365086,plain,
less(n12,n27),
inference(unit_resulting_resolution,[],[f961,f218271,f1263]) ).
fof(f218271,plain,
! [X0] : sP2(n12,rdn(rdnn(X0),rdnn(n2))),
inference(unit_resulting_resolution,[],[f1090,f95885,f1262]) ).
fof(f95885,plain,
! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n1)),rdn(rdnn(X1),rdnn(n2))),
inference(unit_resulting_resolution,[],[f787,f1248]) ).
fof(f787,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf_transformation,[],[f536]) ).
fof(f536,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less12) ).
fof(f1090,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf_transformation,[],[f282]) ).
fof(f282,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn12) ).
fof(f633,plain,
accept_population(countryamedicalorganization,native,n85),
inference(cnf_transformation,[],[f558]) ).
fof(f558,plain,
accept_population(countryamedicalorganization,native,n85),
inference(flattening,[],[f557]) ).
fof(f557,negated_conjecture,
~ ~ accept_population(countryamedicalorganization,native,n85),
inference(negated_conjecture,[],[f556]) ).
fof(f556,conjecture,
~ accept_population(countryamedicalorganization,native,n85),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_10) ).
fof(f107540,plain,
accept_population(countryamedicalorganization,muslim,n0),
inference(unit_resulting_resolution,[],[f1618,f103489,f1252]) ).
fof(f103489,plain,
less(n0,n1),
inference(unit_resulting_resolution,[],[f806,f60253,f1263]) ).
fof(f60253,plain,
sP2(n0,rdnn(n1)),
inference(unit_resulting_resolution,[],[f782,f801,f1262]) ).
fof(f801,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f270]) ).
fof(f270,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
fof(f782,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(cnf_transformation,[],[f535]) ).
fof(f535,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less01) ).
fof(f806,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf_transformation,[],[f271]) ).
fof(f271,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
fof(f1618,plain,
accept_population(countryamedicalorganization,muslim,n1),
inference(unit_resulting_resolution,[],[f1431,f1173]) ).
fof(f1173,plain,
! [X0] :
( ~ accept_city(X0,cityb)
| accept_population(X0,muslim,n1) ),
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(f1431,plain,
accept_city(countryamedicalorganization,cityb),
inference(unit_resulting_resolution,[],[f685,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(f685,plain,
the_agent_in_all_proposed_teams(countryamedicalorganization,countrybhumanitarianorganization,cityb),
inference(cnf_transformation,[],[f178]) ).
fof(f178,axiom,
the_agent_in_all_proposed_teams(countryamedicalorganization,countrybhumanitarianorganization,cityb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_158) ).
fof(f42315,plain,
accept_population(countryamedicalorganization,other,n0),
inference(unit_resulting_resolution,[],[f42049,f1193]) ).
fof(f1193,plain,
! [X0] :
( ~ accept_city(X0,towna)
| accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f614]) ).
fof(f614,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,[],[f613]) ).
fof(f613,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/benchmark/theBenchmark.p',a2_9) ).
fof(f42049,plain,
accept_city(countryamedicalorganization,towna),
inference(unit_resulting_resolution,[],[f819,f1253]) ).
fof(f819,plain,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_27) ).
fof(f59986,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(unit_resulting_resolution,[],[f1707,f680,f1241]) ).
fof(f1241,plain,
! [X2,X0,X1] :
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_city(X0,X2)
| ~ accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f585]) ).
fof(f585,plain,
! [X0,X1,X2] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f584]) ).
fof(f584,plain,
! [X0,X1,X2] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f565]) ).
fof(f565,plain,
! [X0,X1,X2] :
( the_agent_not_in_any_proposed_teams(X0,X1,X2)
=> ~ ( accept_leader(X0,X1)
& accept_city(X0,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X3,X1] :
( the_agent_not_in_any_proposed_teams(X0,X3,X1)
=> ~ ( accept_leader(X0,X3)
& accept_city(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_6) ).
fof(f680,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_37) ).
fof(f1707,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(unit_resulting_resolution,[],[f712,f1244]) ).
fof(f1244,plain,
! [X2,X0,X1] :
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f587]) ).
fof(f587,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f567]) ).
fof(f567,plain,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X3,X1] :
( any_agent_in_all_proposed_teams(X0,X3,X1)
=> accept_leader(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5) ).
fof(f712,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_38) ).
fof(f1619,plain,
accept_population(countryamedicalorganization,christian,n20),
inference(unit_resulting_resolution,[],[f1431,f1172]) ).
fof(f1172,plain,
! [X0] :
( ~ accept_city(X0,cityb)
| accept_population(X0,christian,n20) ),
inference(cnf_transformation,[],[f608]) ).
fof(f1099,plain,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
inference(cnf_transformation,[],[f290]) ).
fof(f290,axiom,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn20) ).
fof(f48215,plain,
! [X0,X1] : rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n2))),
inference(unit_resulting_resolution,[],[f1272,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(f1272,plain,
rdn_non_zero(rdnn(n2)),
inference(unit_resulting_resolution,[],[f640,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(f640,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf_transformation,[],[f527]) ).
fof(f527,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
fof(f802,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f273]) ).
fof(f273,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : AGT010+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n007.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 19:22:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (27834)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (27837)WARNING: value z3 for option sas not known
% 0.21/0.39 % (27839)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (27836)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 % (27835)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (27841)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 % (27840)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 % (27842)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)
% 0.21/0.39 % (27837)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)
% 0.21/0.43 TRYING [1]
% 0.21/0.43 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]
% 2.26/0.72 TRYING [4]
% 4.03/0.93 TRYING [5]
% 7.10/1.43 TRYING [5]
% 7.80/1.53 TRYING [1]
% 8.25/1.53 TRYING [6]
% 8.25/1.53 TRYING [2]
% 8.44/1.57 TRYING [3]
% 9.02/1.68 TRYING [4]
% 10.43/1.89 TRYING [5]
% 13.69/2.32 TRYING [6]
% 15.02/2.51 TRYING [7]
% 20.24/3.29 TRYING [7]
% 28.71/4.46 TRYING [8]
% 31.00/4.77 TRYING [8]
% 43.11/6.52 TRYING [9]
% 52.59/7.85 TRYING [9]
% 52.89/7.90 % (27842)First to succeed.
% 52.89/7.90 % (27842)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27834"
% 52.89/7.91 % (27842)Refutation found. Thanks to Tanya!
% 52.89/7.91 % SZS status Theorem for theBenchmark
% 52.89/7.91 % SZS output start Proof for theBenchmark
% See solution above
% 52.89/7.91 % (27842)------------------------------
% 52.89/7.91 % (27842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 52.89/7.91 % (27842)Termination reason: Refutation
% 52.89/7.91
% 52.89/7.91 % (27842)Memory used [KB]: 98392
% 52.89/7.91 % (27842)Time elapsed: 7.511 s
% 52.89/7.91 % (27842)Instructions burned: 25976 (million)
% 52.89/7.91 % (27834)Success in time 7.516 s
%------------------------------------------------------------------------------