TSTP Solution File: AGT007+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : AGT007+2 : 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 : n023.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 53.89s 8.13s
% Output : Refutation 53.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 38
% Syntax : Number of formulae : 138 ( 95 unt; 0 def)
% Number of atoms : 253 ( 0 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 191 ( 76 ~; 66 |; 32 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 27 ( 27 usr; 24 con; 0-2 aty)
% Number of variables : 140 ( 140 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1232378,plain,
$false,
inference(subsumption_resolution,[],[f1232375,f280322]) ).
fof(f280322,plain,
rdn_positive_less(rdn(rdnn(n0),rdnn(n7)),rdn(rdnn(n5),rdnn(n7))),
inference(unit_resulting_resolution,[],[f2000,f274246,f1980]) ).
fof(f1980,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,[],[f958]) ).
fof(f958,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,[],[f957]) ).
fof(f957,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,[],[f937]) ).
fof(f937,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,[],[f913]) ).
fof(f913,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(f274246,plain,
rdn_positive_less(rdnn(n0),rdnn(n5)),
inference(unit_resulting_resolution,[],[f106228,f244048,f1981]) ).
fof(f1981,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,[],[f960]) ).
fof(f960,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(flattening,[],[f959]) ).
fof(f959,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdnn(X2))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X0),rdnn(X1)) ),
inference(ennf_transformation,[],[f938]) ).
fof(f938,plain,
! [X0,X1,X2] :
( ( rdn_positive_less(rdnn(X1),rdnn(X2))
& rdn_positive_less(rdnn(X0),rdnn(X1)) )
=> rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(rectify,[],[f911]) ).
fof(f911,axiom,
! [X6,X7,X8] :
( ( rdn_positive_less(rdnn(X7),rdnn(X8))
& rdn_positive_less(rdnn(X6),rdnn(X7)) )
=> rdn_positive_less(rdnn(X6),rdnn(X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
fof(f244048,plain,
rdn_positive_less(rdnn(n2),rdnn(n5)),
inference(unit_resulting_resolution,[],[f1519,f106226,f1981]) ).
fof(f106226,plain,
rdn_positive_less(rdnn(n3),rdnn(n5)),
inference(unit_resulting_resolution,[],[f1517,f1516,f1981]) ).
fof(f1516,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(cnf_transformation,[],[f906]) ).
fof(f906,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
fof(f1517,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(cnf_transformation,[],[f905]) ).
fof(f905,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less34) ).
fof(f1519,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf_transformation,[],[f904]) ).
fof(f904,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
fof(f106228,plain,
rdn_positive_less(rdnn(n0),rdnn(n2)),
inference(unit_resulting_resolution,[],[f1520,f1522,f1981]) ).
fof(f1522,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf_transformation,[],[f903]) ).
fof(f903,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less12) ).
fof(f1520,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(cnf_transformation,[],[f902]) ).
fof(f902,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less01) ).
fof(f2000,plain,
rdn_non_zero(rdnn(n7)),
inference(unit_resulting_resolution,[],[f1007,f1891]) ).
fof(f1891,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f948]) ).
fof(f948,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f926]) ).
fof(f926,plain,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
inference(rectify,[],[f915]) ).
fof(f915,axiom,
! [X6] :
( rdn_non_zero_digit(rdnn(X6))
=> rdn_non_zero(rdnn(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f1007,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(cnf_transformation,[],[f899]) ).
fof(f899,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
fof(f1232375,plain,
~ rdn_positive_less(rdn(rdnn(n0),rdnn(n7)),rdn(rdnn(n5),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1825,f1216308,f1996]) ).
fof(f1996,plain,
! [X2,X3,X0] :
( ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(X0,rdn_pos(X2))
| sP2(X0,X3) ),
inference(cnf_transformation,[],[f1996_D]) ).
fof(f1996_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(f1216308,plain,
~ sP2(n70,rdn(rdnn(n5),rdnn(n7))),
inference(unit_resulting_resolution,[],[f1830,f1216049,f1997]) ).
fof(f1997,plain,
! [X3,X0,X1] :
( ~ sP2(X0,X3)
| ~ rdn_translate(X1,rdn_pos(X3))
| less(X0,X1) ),
inference(general_splitting,[],[f1984,f1996_D]) ).
fof(f1984,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/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
fof(f1216049,plain,
~ less(n70,n75),
inference(unit_resulting_resolution,[],[f1385,f1215873,f1986]) ).
fof(f1986,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/sandbox/benchmark/theBenchmark.p',a1_3) ).
fof(f1215873,plain,
~ accept_population(countrybcivilorganization,atheist,n70),
inference(unit_resulting_resolution,[],[f105482,f1386,f231946,f1374,f1214257,f1916]) ).
fof(f1916,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,[],[f979]) ).
fof(f979,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,[],[f978]) ).
fof(f978,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(f1214257,plain,
accept_population(countrybcivilorganization,muslim,n8),
inference(unit_resulting_resolution,[],[f209092,f1212743,f1986]) ).
fof(f1212743,plain,
accept_population(countrybcivilorganization,muslim,n9),
inference(unit_resulting_resolution,[],[f681688,f1212708,f1986]) ).
fof(f1212708,plain,
less(n9,n47),
inference(unit_resulting_resolution,[],[f1684,f837194,f1997]) ).
fof(f837194,plain,
! [X0] : sP2(n9,rdn(rdnn(X0),rdnn(n4))),
inference(unit_resulting_resolution,[],[f1532,f48819,f1996]) ).
fof(f48819,plain,
! [X0,X1] : rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n4))),
inference(unit_resulting_resolution,[],[f2001,f1974]) ).
fof(f1974,plain,
! [X2,X0,X1] :
( ~ rdn_non_zero(X2)
| rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
inference(cnf_transformation,[],[f950]) ).
fof(f950,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f931]) ).
fof(f931,plain,
! [X0,X1,X2] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
inference(rectify,[],[f914]) ).
fof(f914,axiom,
! [X14,X11,X12] :
( rdn_non_zero(X12)
=> rdn_positive_less(rdnn(X14),rdn(rdnn(X11),X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
fof(f2001,plain,
rdn_non_zero(rdnn(n4)),
inference(unit_resulting_resolution,[],[f1009,f1891]) ).
fof(f1009,plain,
rdn_non_zero_digit(rdnn(n4)),
inference(cnf_transformation,[],[f896]) ).
fof(f896,axiom,
rdn_non_zero_digit(rdnn(n4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit4) ).
fof(f1532,plain,
rdn_translate(n9,rdn_pos(rdnn(n9))),
inference(cnf_transformation,[],[f646]) ).
fof(f646,axiom,
rdn_translate(n9,rdn_pos(rdnn(n9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn9) ).
fof(f1684,plain,
rdn_translate(n47,rdn_pos(rdn(rdnn(n7),rdnn(n4)))),
inference(cnf_transformation,[],[f684]) ).
fof(f684,axiom,
rdn_translate(n47,rdn_pos(rdn(rdnn(n7),rdnn(n4)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn47) ).
fof(f681688,plain,
accept_population(countrybcivilorganization,muslim,n47),
inference(unit_resulting_resolution,[],[f581903,f680497,f1986]) ).
fof(f680497,plain,
accept_population(countrybcivilorganization,muslim,n57),
inference(unit_resulting_resolution,[],[f1375,f680443,f1986]) ).
fof(f680443,plain,
less(n57,n65),
inference(unit_resulting_resolution,[],[f1831,f499676,f1997]) ).
fof(f499676,plain,
! [X0] : sP2(n57,rdn(rdnn(X0),rdnn(n6))),
inference(unit_resulting_resolution,[],[f1694,f103869,f1996]) ).
fof(f103869,plain,
! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n5)),rdn(rdnn(X1),rdnn(n6))),
inference(unit_resulting_resolution,[],[f1518,f1982]) ).
fof(f1982,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/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
fof(f1518,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(cnf_transformation,[],[f907]) ).
fof(f907,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
fof(f1694,plain,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
inference(cnf_transformation,[],[f694]) ).
fof(f694,axiom,
rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn57) ).
fof(f1831,plain,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
inference(cnf_transformation,[],[f702]) ).
fof(f702,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn65) ).
fof(f1375,plain,
accept_population(countrybcivilorganization,muslim,n65),
inference(cnf_transformation,[],[f314]) ).
fof(f314,axiom,
accept_population(countrybcivilorganization,muslim,n65),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_45) ).
fof(f581903,plain,
less(n47,n57),
inference(unit_resulting_resolution,[],[f1694,f497128,f1997]) ).
fof(f497128,plain,
! [X0] : sP2(n47,rdn(rdnn(X0),rdnn(n5))),
inference(unit_resulting_resolution,[],[f1684,f103863,f1996]) ).
fof(f103863,plain,
! [X0,X1] : rdn_positive_less(rdn(rdnn(X0),rdnn(n4)),rdn(rdnn(X1),rdnn(n5))),
inference(unit_resulting_resolution,[],[f1516,f1982]) ).
fof(f209092,plain,
less(n8,n9),
inference(unit_resulting_resolution,[],[f1532,f62307,f1997]) ).
fof(f62307,plain,
sP2(n8,rdnn(n9)),
inference(unit_resulting_resolution,[],[f1514,f1533,f1996]) ).
fof(f1533,plain,
rdn_translate(n8,rdn_pos(rdnn(n8))),
inference(cnf_transformation,[],[f645]) ).
fof(f645,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn8) ).
fof(f1514,plain,
rdn_positive_less(rdnn(n8),rdnn(n9)),
inference(cnf_transformation,[],[f910]) ).
fof(f910,axiom,
rdn_positive_less(rdnn(n8),rdnn(n9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less89) ).
fof(f1374,plain,
accept_population(countrybcivilorganization,native,n0),
inference(cnf_transformation,[],[f565]) ).
fof(f565,axiom,
accept_population(countrybcivilorganization,native,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_296) ).
fof(f231946,plain,
accept_population(countrybcivilorganization,other,n2),
inference(unit_resulting_resolution,[],[f212339,f224351,f1986]) ).
fof(f224351,plain,
accept_population(countrybcivilorganization,other,n3),
inference(unit_resulting_resolution,[],[f207540,f206820,f1986]) ).
fof(f206820,plain,
accept_population(countrybcivilorganization,other,n4),
inference(unit_resulting_resolution,[],[f1378,f206810,f1986]) ).
fof(f206810,plain,
less(n4,n5),
inference(unit_resulting_resolution,[],[f1537,f62304,f1997]) ).
fof(f62304,plain,
sP2(n4,rdnn(n5)),
inference(unit_resulting_resolution,[],[f1516,f1535,f1996]) ).
fof(f1535,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(cnf_transformation,[],[f641]) ).
fof(f641,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn4) ).
fof(f1537,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf_transformation,[],[f642]) ).
fof(f642,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn5) ).
fof(f1378,plain,
accept_population(countrybcivilorganization,other,n5),
inference(cnf_transformation,[],[f313]) ).
fof(f313,axiom,
accept_population(countrybcivilorganization,other,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_44) ).
fof(f207540,plain,
less(n3,n4),
inference(unit_resulting_resolution,[],[f1535,f62305,f1997]) ).
fof(f62305,plain,
sP2(n3,rdnn(n4)),
inference(unit_resulting_resolution,[],[f1517,f1536,f1996]) ).
fof(f1536,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f640]) ).
fof(f640,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
fof(f212339,plain,
less(n2,n3),
inference(unit_resulting_resolution,[],[f1536,f62309,f1997]) ).
fof(f62309,plain,
sP2(n2,rdnn(n3)),
inference(unit_resulting_resolution,[],[f1519,f1538,f1996]) ).
fof(f1538,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f639]) ).
fof(f639,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).
fof(f1386,plain,
accept_population(countrybcivilorganization,christian,n20),
inference(cnf_transformation,[],[f320]) ).
fof(f320,axiom,
accept_population(countrybcivilorganization,christian,n20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_51) ).
fof(f105482,plain,
~ accept_city(countrybcivilorganization,townb),
inference(unit_resulting_resolution,[],[f1093,f1000,f1176,f1990]) ).
fof(f1990,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,[],[f999]) ).
fof(f999,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,[],[f998]) ).
fof(f998,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(f1176,plain,
accept_number(countrybcivilorganization,n3),
inference(cnf_transformation,[],[f597]) ).
fof(f597,axiom,
accept_number(countrybcivilorganization,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_328) ).
fof(f1000,plain,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(cnf_transformation,[],[f925]) ).
fof(f925,plain,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(flattening,[],[f924]) ).
fof(f924,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(negated_conjecture,[],[f923]) ).
fof(f923,conjecture,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_7) ).
fof(f1093,plain,
accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
inference(cnf_transformation,[],[f561]) ).
fof(f561,axiom,
accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_292) ).
fof(f1385,plain,
accept_population(countrybcivilorganization,atheist,n75),
inference(cnf_transformation,[],[f568]) ).
fof(f568,axiom,
accept_population(countrybcivilorganization,atheist,n75),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deduced_299) ).
fof(f1830,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(cnf_transformation,[],[f712]) ).
fof(f712,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
fof(f1825,plain,
rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
inference(cnf_transformation,[],[f707]) ).
fof(f707,axiom,
rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn70) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT007+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:22:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (28970)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (28974)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (28973)WARNING: value z3 for option sas not known
% 0.14/0.40 % (28971)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 % (28973)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)
% 0.14/0.40 % (28972)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (28975)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)
% 0.14/0.40 % (28976)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)
% 0.14/0.40 % (28977)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)
% 0.20/0.41 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.44 TRYING [3]
% 0.20/0.47 TRYING [1]
% 0.20/0.48 TRYING [2]
% 0.20/0.54 TRYING [3]
% 1.71/0.61 TRYING [4]
% 1.94/0.70 TRYING [4]
% 4.70/1.03 TRYING [5]
% 5.14/1.13 TRYING [5]
% 7.88/1.51 TRYING [1]
% 7.88/1.52 TRYING [2]
% 8.21/1.56 TRYING [3]
% 8.72/1.68 TRYING [4]
% 10.91/1.95 TRYING [5]
% 10.91/1.99 TRYING [6]
% 14.41/2.44 TRYING [6]
% 20.03/3.23 TRYING [7]
% 21.86/3.48 TRYING [7]
% 33.37/5.12 TRYING [8]
% 33.37/5.13 TRYING [8]
% 51.76/7.81 TRYING [9]
% 53.89/8.11 % (28977)First to succeed.
% 53.89/8.12 % (28977)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28970"
% 53.89/8.13 % (28977)Refutation found. Thanks to Tanya!
% 53.89/8.13 % SZS status Theorem for theBenchmark
% 53.89/8.13 % SZS output start Proof for theBenchmark
% See solution above
% 53.89/8.13 % (28977)------------------------------
% 53.89/8.13 % (28977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 53.89/8.13 % (28977)Termination reason: Refutation
% 53.89/8.13
% 53.89/8.13 % (28977)Memory used [KB]: 106485
% 53.89/8.13 % (28977)Time elapsed: 7.721 s
% 53.89/8.13 % (28977)Instructions burned: 25984 (million)
% 53.89/8.13 % (28970)Success in time 7.662 s
%------------------------------------------------------------------------------