TSTP Solution File: AGT026+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : AGT026+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 : Wed Aug 30 15:54:37 EDT 2023
% Result : Theorem 186.54s 25.35s
% Output : CNFRefutation 186.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of formulae : 128 ( 40 unt; 0 def)
% Number of atoms : 340 ( 6 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 374 ( 162 ~; 149 |; 44 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 25 ( 25 usr; 22 con; 0-2 aty)
% Number of variables : 192 ( 12 sgn; 135 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(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(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(f47,axiom,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_27) ).
fof(f57,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_37) ).
fof(f58,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_38) ).
fof(f270,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
fof(f273,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
fof(f282,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn12) ).
fof(f355,axiom,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn85) ).
fof(f370,axiom,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn100) ).
fof(f526,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit1) ).
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(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(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(f549,axiom,
! [X14,X13] :
( rdn_non_zero(X13)
=> rdn_non_zero(rdn(rdnn(X14),X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_structure) ).
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(f556,conjecture,
? [X6,X7] : ~ accept_population(X6,X7,n100),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_26) ).
fof(f557,negated_conjecture,
~ ? [X6,X7] : ~ accept_population(X6,X7,n100),
inference(negated_conjecture,[],[f556]) ).
fof(f559,plain,
! [X0,X1,X2,X3] :
( ( less(X2,X1)
& accept_population(X0,X3,X1) )
=> accept_population(X0,X3,X2) ),
inference(rectify,[],[f3]) ).
fof(f561,plain,
! [X0,X1,X2] :
( any_agent_in_all_proposed_teams(X0,X1,X2)
=> accept_leader(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f562,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(f565,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(f567,plain,
! [X0,X1,X2] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
inference(rectify,[],[f547]) ).
fof(f568,plain,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
inference(rectify,[],[f548]) ).
fof(f569,plain,
! [X0,X1] :
( rdn_non_zero(X1)
=> rdn_non_zero(rdn(rdnn(X0),X1)) ),
inference(rectify,[],[f549]) ).
fof(f570,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(f576,plain,
~ ? [X0,X1] : ~ accept_population(X0,X1,n100),
inference(rectify,[],[f557]) ).
fof(f583,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(ennf_transformation,[],[f559]) ).
fof(f584,plain,
! [X0,X1,X2,X3] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(flattening,[],[f583]) ).
fof(f586,plain,
! [X0,X1,X2] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(ennf_transformation,[],[f561]) ).
fof(f587,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,[],[f562]) ).
fof(f588,plain,
! [X0,X1,X2] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(flattening,[],[f587]) ).
fof(f591,plain,
! [X0,X1,X2,X3] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(ennf_transformation,[],[f565]) ).
fof(f594,plain,
! [X0,X1,X2] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(ennf_transformation,[],[f567]) ).
fof(f595,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(ennf_transformation,[],[f568]) ).
fof(f596,plain,
! [X0,X1] :
( rdn_non_zero(rdn(rdnn(X0),X1))
| ~ rdn_non_zero(X1) ),
inference(ennf_transformation,[],[f569]) ).
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,[],[f570]) ).
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(f603,plain,
! [X0,X1] : accept_population(X0,X1,n100),
inference(ennf_transformation,[],[f576]) ).
fof(f604,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(f605,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,[],[f604]) ).
fof(f618,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(f619,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,[],[f618]) ).
fof(f622,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(f623,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,[],[f622]) ).
fof(f634,plain,
! [X2,X3,X0,X1] :
( accept_city(X0,X1)
| ~ accept_team(X0,X3,X1,X2) ),
inference(cnf_transformation,[],[f605]) ).
fof(f639,plain,
! [X2,X3,X0,X1] :
( accept_population(X0,X3,X2)
| ~ less(X2,X1)
| ~ accept_population(X0,X3,X1) ),
inference(cnf_transformation,[],[f584]) ).
fof(f642,plain,
! [X2,X0,X1] :
( accept_leader(X0,X1)
| ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f643,plain,
! [X2,X0,X1] :
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(cnf_transformation,[],[f588]) ).
fof(f680,plain,
! [X0] :
( accept_city(X0,coastvillage)
| ~ accept_population(X0,other,n0)
| ~ accept_population(X0,native,n85)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,atheist,n12) ),
inference(cnf_transformation,[],[f619]) ).
fof(f697,plain,
! [X0] :
( accept_population(X0,other,n0)
| ~ accept_city(X0,towna) ),
inference(cnf_transformation,[],[f623]) ).
fof(f748,plain,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
inference(cnf_transformation,[],[f47]) ).
fof(f758,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f57]) ).
fof(f759,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f58]) ).
fof(f971,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f270]) ).
fof(f974,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f273]) ).
fof(f983,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf_transformation,[],[f282]) ).
fof(f1056,plain,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
inference(cnf_transformation,[],[f355]) ).
fof(f1071,plain,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
inference(cnf_transformation,[],[f370]) ).
fof(f1227,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f526]) ).
fof(f1246,plain,
! [X2,X3,X0,X1] :
( rdn_positive_less(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(X1,X3) ),
inference(cnf_transformation,[],[f591]) ).
fof(f1248,plain,
! [X2,X0,X1] :
( rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2))
| ~ rdn_non_zero(X2) ),
inference(cnf_transformation,[],[f594]) ).
fof(f1249,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| ~ rdn_non_zero_digit(rdnn(X0)) ),
inference(cnf_transformation,[],[f595]) ).
fof(f1250,plain,
! [X0,X1] :
( rdn_non_zero(rdn(rdnn(X0),X1))
| ~ rdn_non_zero(X1) ),
inference(cnf_transformation,[],[f596]) ).
fof(f1251,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(f1257,plain,
! [X0,X1] : accept_population(X0,X1,n100),
inference(cnf_transformation,[],[f603]) ).
cnf(c_52,plain,
( ~ accept_team(X0,X1,X2,X3)
| accept_city(X0,X2) ),
inference(cnf_transformation,[],[f634]) ).
cnf(c_54,plain,
( ~ accept_population(X0,X1,X2)
| ~ less(X3,X2)
| accept_population(X0,X1,X3) ),
inference(cnf_transformation,[],[f639]) ).
cnf(c_57,plain,
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf_transformation,[],[f642]) ).
cnf(c_58,plain,
( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(cnf_transformation,[],[f643]) ).
cnf(c_100,plain,
( ~ 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) ),
inference(cnf_transformation,[],[f680]) ).
cnf(c_107,plain,
( ~ accept_city(X0,towna)
| accept_population(X0,other,n0) ),
inference(cnf_transformation,[],[f697]) ).
cnf(c_163,plain,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
inference(cnf_transformation,[],[f748]) ).
cnf(c_173,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f758]) ).
cnf(c_174,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf_transformation,[],[f759]) ).
cnf(c_386,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f971]) ).
cnf(c_389,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf_transformation,[],[f974]) ).
cnf(c_398,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf_transformation,[],[f983]) ).
cnf(c_471,plain,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
inference(cnf_transformation,[],[f1056]) ).
cnf(c_486,plain,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
inference(cnf_transformation,[],[f1071]) ).
cnf(c_642,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f1227]) ).
cnf(c_661,plain,
( ~ rdn_positive_less(X0,X1)
| rdn_positive_less(rdn(rdnn(X2),X0),rdn(rdnn(X3),X1)) ),
inference(cnf_transformation,[],[f1246]) ).
cnf(c_663,plain,
( ~ rdn_non_zero(X0)
| rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X0)) ),
inference(cnf_transformation,[],[f1248]) ).
cnf(c_664,plain,
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f1249]) ).
cnf(c_665,plain,
( ~ rdn_non_zero(X0)
| rdn_non_zero(rdn(rdnn(X1),X0)) ),
inference(cnf_transformation,[],[f1250]) ).
cnf(c_666,plain,
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_positive_less(X1,X3)
| less(X0,X2) ),
inference(cnf_transformation,[],[f1251]) ).
cnf(c_672,negated_conjecture,
accept_population(X0,X1,n100),
inference(cnf_transformation,[],[f1257]) ).
cnf(c_1316,plain,
( X0 != countryamedicalorganization
| X1 != christiancountrychumanitarianorganization
| X2 != coastvillage
| ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_58,c_173]) ).
cnf(c_1317,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(unflattening,[status(thm)],[c_1316]) ).
cnf(c_1598,plain,
( X0 != countryamedicalorganization
| X1 != christiancountrychumanitarianorganization
| X2 != coastvillage
| accept_leader(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_57,c_174]) ).
cnf(c_1599,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(unflattening,[status(thm)],[c_1598]) ).
cnf(c_3840,plain,
( ~ accept_team(countryamedicalorganization,countryacivilorganization,towna,n6)
| accept_city(countryamedicalorganization,towna) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_5780,plain,
( ~ accept_population(X0,atheist,X1)
| ~ less(n12,X1)
| accept_population(X0,atheist,n12) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_7386,plain,
( ~ accept_city(countryamedicalorganization,towna)
| accept_population(countryamedicalorganization,other,n0) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_10959,plain,
( ~ accept_population(X0,atheist,n100)
| ~ less(n12,n100)
| accept_population(X0,atheist,n12) ),
inference(instantiation,[status(thm)],[c_5780]) ).
cnf(c_13268,plain,
accept_population(X0,atheist,n100),
inference(instantiation,[status(thm)],[c_672]) ).
cnf(c_14498,plain,
accept_population(countryamedicalorganization,christian,n100),
inference(instantiation,[status(thm)],[c_672]) ).
cnf(c_14619,plain,
( ~ accept_population(X0,christian,X1)
| ~ less(n3,X1)
| accept_population(X0,christian,n3) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_15805,plain,
( ~ accept_population(X0,christian,n100)
| ~ less(n3,n100)
| accept_population(X0,christian,n3) ),
inference(instantiation,[status(thm)],[c_14619]) ).
cnf(c_15859,plain,
( ~ accept_population(countryamedicalorganization,muslim,X0)
| ~ less(n0,X0)
| accept_population(countryamedicalorganization,muslim,n0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_17212,plain,
( ~ accept_population(countryamedicalorganization,christian,n100)
| ~ less(n3,n100)
| accept_population(countryamedicalorganization,christian,n3) ),
inference(instantiation,[status(thm)],[c_15805]) ).
cnf(c_17274,plain,
( ~ accept_population(countryamedicalorganization,muslim,n100)
| ~ less(n0,n100)
| accept_population(countryamedicalorganization,muslim,n0) ),
inference(instantiation,[status(thm)],[c_15859]) ).
cnf(c_18711,plain,
accept_population(countryamedicalorganization,muslim,n100),
inference(instantiation,[status(thm)],[c_672]) ).
cnf(c_23588,plain,
accept_population(countryamedicalorganization,native,n100),
inference(instantiation,[status(thm)],[c_672]) ).
cnf(c_38660,plain,
( ~ accept_population(countryamedicalorganization,atheist,n100)
| ~ less(n12,n100)
| accept_population(countryamedicalorganization,atheist,n12) ),
inference(instantiation,[status(thm)],[c_10959]) ).
cnf(c_39352,plain,
accept_population(countryamedicalorganization,atheist,n100),
inference(instantiation,[status(thm)],[c_13268]) ).
cnf(c_40450,plain,
( ~ accept_population(X0,native,X1)
| ~ less(n85,X1)
| accept_population(X0,native,n85) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_41238,plain,
( ~ rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))))
| ~ rdn_positive_less(X0,rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))
| ~ rdn_translate(X1,rdn_pos(X0))
| less(X1,n100) ),
inference(instantiation,[status(thm)],[c_666]) ).
cnf(c_42060,plain,
( ~ rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))))
| ~ rdn_positive_less(rdnn(n0),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))
| ~ rdn_translate(n0,rdn_pos(rdnn(n0)))
| less(n0,n100) ),
inference(instantiation,[status(thm)],[c_41238]) ).
cnf(c_42063,plain,
( ~ rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))))
| ~ rdn_positive_less(rdnn(n3),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))
| ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| less(n3,n100) ),
inference(instantiation,[status(thm)],[c_41238]) ).
cnf(c_42072,plain,
( ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))
| ~ rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))))
| ~ rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1))))
| less(n12,n100) ),
inference(instantiation,[status(thm)],[c_41238]) ).
cnf(c_42145,plain,
( ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n8)),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))
| ~ rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))))
| ~ rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8))))
| less(n85,n100) ),
inference(instantiation,[status(thm)],[c_41238]) ).
cnf(c_43416,plain,
( ~ rdn_non_zero(rdn(rdnn(n0),rdnn(n1)))
| rdn_positive_less(rdnn(n0),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))) ),
inference(instantiation,[status(thm)],[c_663]) ).
cnf(c_43419,plain,
( ~ rdn_non_zero(rdn(rdnn(n0),rdnn(n1)))
| rdn_positive_less(rdnn(n3),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))) ),
inference(instantiation,[status(thm)],[c_663]) ).
cnf(c_43452,plain,
( ~ accept_population(X0,native,n100)
| ~ less(n85,n100)
| accept_population(X0,native,n85) ),
inference(instantiation,[status(thm)],[c_40450]) ).
cnf(c_43463,plain,
( ~ rdn_positive_less(rdnn(n1),rdn(rdnn(n0),rdnn(n1)))
| rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))) ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_43540,plain,
( ~ rdn_positive_less(rdnn(n8),rdn(rdnn(n0),rdnn(n1)))
| rdn_positive_less(rdn(rdnn(n5),rdnn(n8)),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))) ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_44385,plain,
( ~ rdn_non_zero(rdnn(n1))
| rdn_non_zero(rdn(rdnn(n0),rdnn(n1))) ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_44459,plain,
( ~ rdn_non_zero(rdnn(n1))
| rdn_positive_less(rdnn(n1),rdn(rdnn(n0),rdnn(n1))) ),
inference(instantiation,[status(thm)],[c_663]) ).
cnf(c_44625,plain,
( ~ rdn_non_zero(rdnn(n1))
| rdn_positive_less(rdnn(n8),rdn(rdnn(n0),rdnn(n1))) ),
inference(instantiation,[status(thm)],[c_663]) ).
cnf(c_45745,plain,
( ~ rdn_non_zero_digit(rdnn(n1))
| rdn_non_zero(rdnn(n1)) ),
inference(instantiation,[status(thm)],[c_664]) ).
cnf(c_46875,plain,
( ~ accept_population(countryamedicalorganization,other,n0)
| ~ accept_population(countryamedicalorganization,native,n85)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,atheist,n12)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_48964,plain,
( ~ accept_population(countryamedicalorganization,native,n100)
| ~ less(n85,n100)
| accept_population(countryamedicalorganization,native,n85) ),
inference(instantiation,[status(thm)],[c_43452]) ).
cnf(c_48965,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_48964,c_46875,c_45745,c_44625,c_44459,c_44385,c_43540,c_43463,c_43419,c_43416,c_42145,c_42072,c_42063,c_42060,c_39352,c_38660,c_23588,c_18711,c_17274,c_17212,c_14498,c_7386,c_3840,c_1599,c_1317,c_486,c_398,c_471,c_163,c_386,c_389,c_642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : AGT026+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.14/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 17:02:19 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 186.54/25.35 % SZS status Started for theBenchmark.p
% 186.54/25.35 % SZS status Theorem for theBenchmark.p
% 186.54/25.35
% 186.54/25.35 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 186.54/25.35
% 186.54/25.35 ------ iProver source info
% 186.54/25.35
% 186.54/25.35 git: date: 2023-05-31 18:12:56 +0000
% 186.54/25.35 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 186.54/25.35 git: non_committed_changes: false
% 186.54/25.35 git: last_make_outside_of_git: false
% 186.54/25.35
% 186.54/25.35 ------ Parsing...
% 186.54/25.35 ------ Clausification by vclausify_rel & Parsing by iProver...
% 186.54/25.35
% 186.54/25.35 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 186.54/25.35
% 186.54/25.35 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 186.54/25.35
% 186.54/25.35 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 186.54/25.35 ------ Proving...
% 186.54/25.35 ------ Problem Properties
% 186.54/25.35
% 186.54/25.35
% 186.54/25.35 clauses 613
% 186.54/25.35 conjectures 1
% 186.54/25.35 EPR 330
% 186.54/25.35 Horn 612
% 186.54/25.35 unary 519
% 186.54/25.35 binary 72
% 186.54/25.35 lits 770
% 186.54/25.35 lits eq 1
% 186.54/25.35 fd_pure 0
% 186.54/25.35 fd_pseudo 0
% 186.54/25.35 fd_cond 0
% 186.54/25.35 fd_pseudo_cond 1
% 186.54/25.35 AC symbols 0
% 186.54/25.35
% 186.54/25.35 ------ Input Options Time Limit: Unbounded
% 186.54/25.35
% 186.54/25.35
% 186.54/25.35 ------
% 186.54/25.35 Current options:
% 186.54/25.35 ------
% 186.54/25.35
% 186.54/25.35
% 186.54/25.35
% 186.54/25.35
% 186.54/25.35 ------ Proving...
% 186.54/25.35
% 186.54/25.35
% 186.54/25.35 % SZS status Theorem for theBenchmark.p
% 186.54/25.35
% 186.54/25.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 186.54/25.35
% 186.54/25.36
%------------------------------------------------------------------------------