TSTP Solution File: AGT007+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : AGT007+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 : n018.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 60.51s 8.96s
% Output : Refutation 60.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 42
% Syntax : Number of formulae : 174 ( 111 unt; 0 def)
% Number of atoms : 384 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 331 ( 121 ~; 111 |; 77 &)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 38 ( 38 usr; 35 con; 0-2 aty)
% Number of variables : 174 ( 174 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1304508,plain,
$false,
inference(subsumption_resolution,[],[f1304504,f991467]) ).
fof(f991467,plain,
sP2(n71,rdn(rdnn(n3),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1051,f113967,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(f113967,plain,
rdn_positive_less(rdn(rdnn(n1),rdnn(n7)),rdn(rdnn(n3),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1266,f97506,f1246]) ).
fof(f1246,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_non_zero(X1)
| rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
inference(cnf_transformation,[],[f591]) ).
fof(f591,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(flattening,[],[f590]) ).
fof(f590,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))
| ~ rdn_non_zero(X1)
| ~ rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(ennf_transformation,[],[f570]) ).
fof(f570,plain,
! [X0,X1,X2] :
( ( rdn_non_zero(X1)
& rdn_positive_less(rdnn(X0),rdnn(X2)) )
=> rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1)) ),
inference(rectify,[],[f546]) ).
fof(f546,axiom,
! [X9,X13,X11] :
( ( rdn_non_zero(X13)
& rdn_positive_less(rdnn(X9),rdnn(X11)) )
=> rdn_positive_less(rdn(rdnn(X9),X13),rdn(rdnn(X11),X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
fof(f97506,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(unit_resulting_resolution,[],[f787,f786,f1247]) ).
fof(f1247,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,[],[f593]) ).
fof(f593,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,[],[f592]) ).
fof(f592,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,[],[f571]) ).
fof(f571,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,[],[f544]) ).
fof(f544,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/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
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(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(f1266,plain,
rdn_non_zero(rdnn(n7)),
inference(unit_resulting_resolution,[],[f635,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(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(f1051,plain,
rdn_translate(n71,rdn_pos(rdn(rdnn(n1),rdnn(n7)))),
inference(cnf_transformation,[],[f341]) ).
fof(f341,axiom,
rdn_translate(n71,rdn_pos(rdn(rdnn(n1),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn71) ).
fof(f1304504,plain,
~ sP2(n71,rdn(rdnn(n3),rdnn(n7))),
inference(unit_resulting_resolution,[],[f989,f1304006,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(f1304006,plain,
~ less(n71,n73),
inference(unit_resulting_resolution,[],[f1272334,f1303897,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(f1303897,plain,
~ accept_population(countrybcivilorganization,atheist,n71),
inference(unit_resulting_resolution,[],[f1170654,f1303895,f1252]) ).
fof(f1303895,plain,
less(n70,n71),
inference(unit_resulting_resolution,[],[f1051,f981099,f1263]) ).
fof(f981099,plain,
sP2(n70,rdn(rdnn(n1),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1098,f97908,f1262]) ).
fof(f97908,plain,
rdn_positive_less(rdn(rdnn(n0),rdnn(n7)),rdn(rdnn(n1),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1266,f782,f1246]) ).
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(f1098,plain,
rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
inference(cnf_transformation,[],[f340]) ).
fof(f340,axiom,
rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn70) ).
fof(f1170654,plain,
~ accept_population(countrybcivilorganization,atheist,n70),
inference(unit_resulting_resolution,[],[f96982,f42348,f226482,f1627,f1162568,f1224]) ).
fof(f1224,plain,
! [X0] :
( ~ accept_population(X0,other,n2)
| accept_city(X0,townb)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n8)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n70) ),
inference(cnf_transformation,[],[f626]) ).
fof(f626,plain,
! [X0] :
( ( ( accept_population(X0,other,n2)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n8)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n70) )
| ~ accept_city(X0,townb) )
& ( accept_city(X0,townb)
| ~ accept_population(X0,other,n2)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n8)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n70) ) ),
inference(flattening,[],[f625]) ).
fof(f625,plain,
! [X0] :
( ( ( accept_population(X0,other,n2)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n8)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n70) )
| ~ accept_city(X0,townb) )
& ( accept_city(X0,townb)
| ~ accept_population(X0,other,n2)
| ~ accept_population(X0,native,n0)
| ~ accept_population(X0,muslim,n8)
| ~ accept_population(X0,christian,n20)
| ~ accept_population(X0,atheist,n70) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ( accept_population(X0,other,n2)
& accept_population(X0,native,n0)
& accept_population(X0,muslim,n8)
& accept_population(X0,christian,n20)
& accept_population(X0,atheist,n70) )
<=> accept_city(X0,townb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_11) ).
fof(f1162568,plain,
accept_population(countrybcivilorganization,muslim,n8),
inference(unit_resulting_resolution,[],[f103140,f1158048,f1252]) ).
fof(f1158048,plain,
accept_population(countrybcivilorganization,muslim,n9),
inference(unit_resulting_resolution,[],[f444787,f1158014,f1252]) ).
fof(f1158014,plain,
less(n9,n47),
inference(unit_resulting_resolution,[],[f956,f601635,f1263]) ).
fof(f601635,plain,
! [X0] : sP2(n9,rdn(rdnn(X0),rdnn(n4))),
inference(unit_resulting_resolution,[],[f798,f48210,f1262]) ).
fof(f48210,plain,
! [X0,X1] : rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n4))),
inference(unit_resulting_resolution,[],[f1267,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(f1267,plain,
rdn_non_zero(rdnn(n4)),
inference(unit_resulting_resolution,[],[f638,f1157]) ).
fof(f638,plain,
rdn_non_zero_digit(rdnn(n4)),
inference(cnf_transformation,[],[f529]) ).
fof(f529,axiom,
rdn_non_zero_digit(rdnn(n4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit4) ).
fof(f798,plain,
rdn_translate(n9,rdn_pos(rdnn(n9))),
inference(cnf_transformation,[],[f279]) ).
fof(f279,axiom,
rdn_translate(n9,rdn_pos(rdnn(n9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn9) ).
fof(f956,plain,
rdn_translate(n47,rdn_pos(rdn(rdnn(n7),rdnn(n4)))),
inference(cnf_transformation,[],[f317]) ).
fof(f317,axiom,
rdn_translate(n47,rdn_pos(rdn(rdnn(n7),rdnn(n4)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn47) ).
fof(f444787,plain,
accept_population(countrybcivilorganization,muslim,n47),
inference(unit_resulting_resolution,[],[f317947,f443607,f1252]) ).
fof(f443607,plain,
accept_population(countrybcivilorganization,muslim,n57),
inference(unit_resulting_resolution,[],[f1638,f443564,f1252]) ).
fof(f443564,plain,
less(n57,n65),
inference(unit_resulting_resolution,[],[f1097,f218255,f1263]) ).
fof(f218255,plain,
! [X0] : sP2(n57,rdn(rdnn(X0),rdnn(n6))),
inference(unit_resulting_resolution,[],[f957,f95842,f1262]) ).
fof(f95842,plain,
! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n5)),rdn(rdnn(X1),rdnn(n6))),
inference(unit_resulting_resolution,[],[f785,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(f785,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f540]) ).
fof(f540,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f957,plain,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
inference(cnf_transformation,[],[f327]) ).
fof(f327,axiom,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn57) ).
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) ).
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(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(f317947,plain,
less(n47,n57),
inference(unit_resulting_resolution,[],[f957,f217537,f1263]) ).
fof(f217537,plain,
! [X0] : sP2(n47,rdn(rdnn(X0),rdnn(n5))),
inference(unit_resulting_resolution,[],[f956,f95836,f1262]) ).
fof(f95836,plain,
! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n4)),rdn(rdnn(X1),rdnn(n5))),
inference(unit_resulting_resolution,[],[f784,f1248]) ).
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(f103140,plain,
less(n8,n9),
inference(unit_resulting_resolution,[],[f798,f60285,f1263]) ).
fof(f60285,plain,
sP2(n8,rdnn(n9)),
inference(unit_resulting_resolution,[],[f780,f800,f1262]) ).
fof(f800,plain,
rdn_translate(n8,rdn_pos(rdnn(n8))),
inference(cnf_transformation,[],[f278]) ).
fof(f278,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn8) ).
fof(f780,plain,
rdn_positive_less(rdnn(n8),rdnn(n9)),
inference(cnf_transformation,[],[f543]) ).
fof(f543,axiom,
rdn_positive_less(rdnn(n8),rdnn(n9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less89) ).
fof(f1627,plain,
accept_population(countrybcivilorganization,native,n0),
inference(unit_resulting_resolution,[],[f1433,f1192]) ).
fof(f1192,plain,
! [X0] :
( ~ accept_city(X0,towna)
| accept_population(X0,native,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(f1433,plain,
accept_city(countrybcivilorganization,towna),
inference(unit_resulting_resolution,[],[f694,f1243]) ).
fof(f694,plain,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryacivilorganization,towna),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_46) ).
fof(f226482,plain,
accept_population(countrybcivilorganization,other,n2),
inference(unit_resulting_resolution,[],[f215885,f107519,f1252]) ).
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(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(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(f215885,plain,
less(n2,n4),
inference(unit_resulting_resolution,[],[f803,f113039,f1263]) ).
fof(f113039,plain,
sP2(n2,rdnn(n4)),
inference(unit_resulting_resolution,[],[f805,f97503,f1262]) ).
fof(f97503,plain,
rdn_positive_less(rdnn(n2),rdnn(n4)),
inference(unit_resulting_resolution,[],[f786,f783,f1247]) ).
fof(f783,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f538]) ).
fof(f538,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less34) ).
fof(f805,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f272]) ).
fof(f272,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).
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(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(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(f96982,plain,
~ accept_city(countrybcivilorganization,townb),
inference(unit_resulting_resolution,[],[f42617,f633,f654,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(f654,plain,
accept_number(countrybcivilorganization,n3),
inference(cnf_transformation,[],[f224]) ).
fof(f224,axiom,
accept_number(countrybcivilorganization,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_204) ).
fof(f633,plain,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(cnf_transformation,[],[f558]) ).
fof(f558,plain,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(flattening,[],[f557]) ).
fof(f557,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(negated_conjecture,[],[f556]) ).
fof(f556,conjecture,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_7) ).
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(f1272334,plain,
accept_population(countrybcivilorganization,atheist,n73),
inference(unit_resulting_resolution,[],[f1258488,f1272317,f1252]) ).
fof(f1272317,plain,
less(n73,n74),
inference(unit_resulting_resolution,[],[f1006,f970515,f1263]) ).
fof(f970515,plain,
sP2(n73,rdn(rdnn(n4),rdnn(n7))),
inference(unit_resulting_resolution,[],[f989,f97854,f1262]) ).
fof(f97854,plain,
rdn_positive_less(rdn(rdnn(n3),rdnn(n7)),rdn(rdnn(n4),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1266,f783,f1246]) ).
fof(f1006,plain,
rdn_translate(n74,rdn_pos(rdn(rdnn(n4),rdnn(n7)))),
inference(cnf_transformation,[],[f344]) ).
fof(f344,axiom,
rdn_translate(n74,rdn_pos(rdn(rdnn(n4),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn74) ).
fof(f1258488,plain,
accept_population(countrybcivilorganization,atheist,n74),
inference(unit_resulting_resolution,[],[f1630,f1258461,f1252]) ).
fof(f1258461,plain,
less(n74,n75),
inference(unit_resulting_resolution,[],[f1095,f966987,f1263]) ).
fof(f966987,plain,
sP2(n74,rdn(rdnn(n5),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1006,f97836,f1262]) ).
fof(f97836,plain,
rdn_positive_less(rdn(rdnn(n4),rdnn(n7)),rdn(rdnn(n5),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1266,f784,f1246]) ).
fof(f1095,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f345]) ).
fof(f345,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
fof(f1630,plain,
accept_population(countrybcivilorganization,atheist,n75),
inference(unit_resulting_resolution,[],[f1433,f1189]) ).
fof(f1189,plain,
! [X0] :
( ~ accept_city(X0,towna)
| accept_population(X0,atheist,n75) ),
inference(cnf_transformation,[],[f614]) ).
fof(f989,plain,
rdn_translate(n73,rdn_pos(rdn(rdnn(n3),rdnn(n7)))),
inference(cnf_transformation,[],[f343]) ).
fof(f343,axiom,
rdn_translate(n73,rdn_pos(rdn(rdnn(n3),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn73) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : AGT007+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 19:22:08 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % (13227)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (13233)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)
% 0.12/0.35 % (13228)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 % (13230)WARNING: value z3 for option sas not known
% 0.12/0.35 % (13229)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (13231)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (13230)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)
% 0.12/0.35 % (13232)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)
% 0.12/0.35 % (13234)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)
% 0.12/0.39 TRYING [1]
% 0.12/0.40 TRYING [2]
% 0.18/0.41 TRYING [1]
% 0.18/0.42 TRYING [2]
% 0.18/0.45 TRYING [3]
% 0.18/0.48 TRYING [3]
% 0.18/0.60 TRYING [4]
% 2.20/0.65 TRYING [4]
% 3.77/0.89 TRYING [5]
% 7.97/1.47 TRYING [5]
% 7.97/1.47 TRYING [1]
% 7.97/1.48 TRYING [2]
% 8.29/1.51 TRYING [3]
% 8.29/1.53 TRYING [6]
% 8.56/1.63 TRYING [4]
% 10.67/1.86 TRYING [5]
% 13.82/2.31 TRYING [6]
% 15.78/2.57 TRYING [7]
% 21.02/3.33 TRYING [7]
% 30.04/4.62 TRYING [8]
% 31.86/4.87 TRYING [8]
% 47.71/7.20 TRYING [9]
% 54.16/8.09 TRYING [9]
% 60.51/8.95 % (13234)First to succeed.
% 60.51/8.95 % (13234)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13227"
% 60.51/8.96 % (13234)Refutation found. Thanks to Tanya!
% 60.51/8.96 % SZS status Theorem for theBenchmark
% 60.51/8.96 % SZS output start Proof for theBenchmark
% See solution above
% 60.51/8.96 % (13234)------------------------------
% 60.51/8.96 % (13234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 60.51/8.96 % (13234)Termination reason: Refutation
% 60.51/8.96
% 60.51/8.96 % (13234)Memory used [KB]: 111062
% 60.51/8.96 % (13234)Time elapsed: 8.598 s
% 60.51/8.96 % (13234)Instructions burned: 28035 (million)
% 60.51/8.96 % (13227)Success in time 8.554 s
%------------------------------------------------------------------------------