%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : AGT010+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:47:26 AM UTC 2026
% Result : Theorem 2.37s 1.07s
% Output : CNFRefutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 27
% Syntax : Number of formulae : 101 ( 50 unt; 0 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 239 ( 99 ~; 90 |; 38 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 27 ( 27 usr; 24 con; 0-2 aty)
% Number of variables : 117 ( 11 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_1,axiom,
! [X1,X2,X3,X4] :
( accept_team(X1,X4,X2,X3)
<=> ( accept_number(X1,X3)
& accept_leader(X1,X4)
& accept_city(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).
fof(less_entry_point_pos_pos,axiom,
! [X7,X8,X16,X17] :
( ( rdn_positive_less(X16,X17)
& rdn_translate(X8,rdn_pos(X17))
& rdn_translate(X7,rdn_pos(X16)) )
=> less(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
fof(a1_4,axiom,
! [X1,X4,X2] :
( the_agent_in_all_proposed_teams(X1,X4,X2)
=> ( accept_city(X1,X2)
& accept_leader(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_4) ).
fof(a2_13,axiom,
! [X1] :
( ( accept_population(X1,other,n5)
& accept_population(X1,native,n0)
& accept_population(X1,muslim,n65)
& accept_population(X1,christian,n0)
& accept_population(X1,atheist,n30) )
<=> accept_city(X1,townc) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_13) ).
fof(event_126,axiom,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_126) ).
fof(rdn30,axiom,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn30) ).
fof(rdn_positive_less_multi_digit_high,axiom,
! [X10,X11,X12,X13] :
( rdn_positive_less(X11,X13)
=> rdn_positive_less(rdn(rdnn(X10),X11),rdn(rdnn(X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).
fof(a2_12,axiom,
! [X1] :
( ( accept_population(X1,other,n1)
& accept_population(X1,native,n0)
& accept_population(X1,muslim,n1)
& accept_population(X1,christian,n20)
& accept_population(X1,atheist,n78) )
<=> accept_city(X1,cityb) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).
fof(event_158,axiom,
the_agent_in_all_proposed_teams(countryamedicalorganization,countrybhumanitarianorganization,cityb),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_158) ).
fof(a1_3,axiom,
! [X1,X3,X5,X6] :
( ( less(X5,X3)
& accept_population(X1,X6,X3) )
=> accept_population(X1,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_3) ).
fof(a1_5,axiom,
! [X1,X4,X2] :
( any_agent_in_all_proposed_teams(X1,X4,X2)
=> accept_leader(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_5) ).
fof(rdn1,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn1) ).
fof(rdn20,axiom,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn20) ).
fof(rdn_positive_less23,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
fof(rdn_extra_digits_positive_less,axiom,
! [X15,X12,X13] :
( rdn_non_zero(X13)
=> rdn_positive_less(rdnn(X15),rdn(rdnn(X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).
fof(a1_6,axiom,
! [X1,X4,X2] :
( the_agent_not_in_any_proposed_teams(X1,X4,X2)
=> ~ ( accept_leader(X1,X4)
& accept_city(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_6) ).
fof(event_38,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_38) ).
fof(query_10,conjecture,
~ accept_population(countryamedicalorganization,native,n85),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_10) ).
fof(rdn0,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).
fof(rdn_positive_less01,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).
fof(event_37,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_37) ).
fof(a2_7,axiom,
! [X1] :
( ( accept_population(X1,other,n0)
& accept_population(X1,native,n85)
& accept_population(X1,muslim,n0)
& accept_population(X1,christian,n3)
& accept_population(X1,atheist,n12) )
<=> accept_city(X1,coastvillage) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_7) ).
fof(rdn12,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn12) ).
fof(rdn_positive_less12,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn3) ).
fof(rdn_non_zero_by_digit,axiom,
! [X7] :
( rdn_non_zero_digit(rdnn(X7))
=> rdn_non_zero(rdnn(X7)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).
fof(rdn_digit2,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).
fof(c_0_27,plain,
! [X43,X44,X45,X46] :
( ( accept_team(X43,X46,X44,X45)
| ~ accept_number(X43,X45)
| ~ accept_leader(X43,X46)
| ~ accept_city(X43,X44) )
& ( ~ accept_team(X43,X46,X44,X45)
| accept_number(X43,X45) )
& ( ~ accept_team(X43,X46,X44,X45)
| accept_leader(X43,X46) )
& ( ~ accept_team(X43,X46,X44,X45)
| accept_city(X43,X44) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])])]) ).
fof(c_0_28,plain,
! [X27,X28,X29,X30] :
( less(X27,X28)
| ~ rdn_positive_less(X29,X30)
| ~ rdn_translate(X28,rdn_pos(X30))
| ~ rdn_translate(X27,rdn_pos(X29)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])])]) ).
fof(c_0_29,plain,
! [X47,X48,X49] :
( ( ~ the_agent_in_all_proposed_teams(X47,X48,X49)
| accept_city(X47,X49) )
& ( ~ the_agent_in_all_proposed_teams(X47,X48,X49)
| accept_leader(X47,X48) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_4])])])]) ).
fof(c_0_30,plain,
! [X22] :
( ( ~ accept_city(X22,townc)
| accept_population(X22,other,n5) )
& ( ~ accept_city(X22,townc)
| accept_population(X22,native,n0) )
& ( ~ accept_city(X22,townc)
| accept_population(X22,muslim,n65) )
& ( ~ accept_city(X22,townc)
| accept_population(X22,christian,n0) )
& ( ~ accept_city(X22,townc)
| accept_population(X22,atheist,n30) )
& ( accept_city(X22,townc)
| ~ accept_population(X22,other,n5)
| ~ accept_population(X22,native,n0)
| ~ accept_population(X22,muslim,n65)
| ~ accept_population(X22,christian,n0)
| ~ accept_population(X22,atheist,n30) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_13])])])]) ).
cnf(c_0_31,plain,
( ~ accept_team(X1,X3,X2,X4)
| accept_city(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
inference(split_conjunct,[status(thm)],[event_126]) ).
cnf(c_0_33,plain,
( ~ rdn_positive_less(X2,X4)
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X2))
| less(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
inference(split_conjunct,[status(thm)],[rdn30]) ).
fof(c_0_35,plain,
! [X58,X59,X60,X61] :
( rdn_positive_less(rdn(rdnn(X58),X59),rdn(rdnn(X60),X61))
| ~ rdn_positive_less(X59,X61) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_high])])]) ).
fof(c_0_36,plain,
! [X75] :
( ( ~ accept_city(X75,cityb)
| accept_population(X75,other,n1) )
& ( ~ accept_city(X75,cityb)
| accept_population(X75,native,n0) )
& ( ~ accept_city(X75,cityb)
| accept_population(X75,muslim,n1) )
& ( ~ accept_city(X75,cityb)
| accept_population(X75,christian,n20) )
& ( ~ accept_city(X75,cityb)
| accept_population(X75,atheist,n78) )
& ( accept_city(X75,cityb)
| ~ accept_population(X75,other,n1)
| ~ accept_population(X75,native,n0)
| ~ accept_population(X75,muslim,n1)
| ~ accept_population(X75,christian,n20)
| ~ accept_population(X75,atheist,n78) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_12])])])]) ).
cnf(c_0_37,plain,
( ~ the_agent_in_all_proposed_teams(X1,X3,X2)
| accept_city(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
the_agent_in_all_proposed_teams(countryamedicalorganization,countrybhumanitarianorganization,cityb),
inference(split_conjunct,[status(thm)],[event_158]) ).
fof(c_0_39,plain,
! [X18,X19,X20,X21] :
( accept_population(X18,X21,X20)
| ~ less(X20,X19)
| ~ accept_population(X18,X21,X19) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])])]) ).
cnf(c_0_40,plain,
( ~ accept_city(X1,townc)
| accept_population(X1,atheist,n30) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
accept_city(countryamedicalorganization,townc),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_42,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n0),rdnn(n3)))
| less(X1,n30) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_43,plain,
( ~ rdn_positive_less(X1,X2)
| rdn_positive_less(rdn(rdnn(X3),X1),rdn(rdnn(X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_44,plain,
! [X71,X72,X73] :
( accept_leader(X71,X72)
| ~ any_agent_in_all_proposed_teams(X71,X72,X73) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_5])])]) ).
cnf(c_0_45,plain,
( ~ accept_city(X1,cityb)
| accept_population(X1,muslim,n1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
accept_city(countryamedicalorganization,cityb),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(split_conjunct,[status(thm)],[rdn1]) ).
cnf(c_0_48,plain,
( ~ accept_city(X1,cityb)
| accept_population(X1,other,n1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
( ~ less(X4,X3)
| ~ accept_population(X1,X2,X3)
| accept_population(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
accept_population(countryamedicalorganization,atheist,n30),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_51,plain,
( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X3),X2)))
| ~ rdn_positive_less(X2,rdnn(n3))
| less(X1,n30) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_52,plain,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
inference(split_conjunct,[status(thm)],[rdn20]) ).
cnf(c_0_53,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).
fof(c_0_54,plain,
! [X65,X66,X67] :
( rdn_positive_less(rdnn(X65),rdn(rdnn(X66),X67))
| ~ rdn_non_zero(X67) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])])]) ).
fof(c_0_55,plain,
! [X50,X51,X52] :
( ~ accept_leader(X50,X51)
| ~ accept_city(X50,X52)
| ~ the_agent_not_in_any_proposed_teams(X50,X51,X52) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_6])])]) ).
cnf(c_0_56,plain,
( ~ any_agent_in_all_proposed_teams(X1,X2,X3)
| accept_leader(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(split_conjunct,[status(thm)],[event_38]) ).
fof(c_0_58,negated_conjecture,
~ ~ accept_population(countryamedicalorganization,native,n85),
inference(assume_negation,[status(cth)],[query_10]) ).
cnf(c_0_59,plain,
accept_population(countryamedicalorganization,muslim,n1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_60,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n1))
| less(X1,n1) ),
inference(spm,[status(thm)],[c_0_33,c_0_47]) ).
cnf(c_0_61,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(split_conjunct,[status(thm)],[rdn0]) ).
cnf(c_0_62,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(split_conjunct,[status(thm)],[rdn_positive_less01]) ).
cnf(c_0_63,plain,
accept_population(countryamedicalorganization,other,n1),
inference(spm,[status(thm)],[c_0_48,c_0_46]) ).
cnf(c_0_64,plain,
( ~ less(X1,n30)
| accept_population(countryamedicalorganization,atheist,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_65,plain,
less(n20,n30),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_66,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n0),rdnn(n2)))
| less(X1,n20) ),
inference(spm,[status(thm)],[c_0_33,c_0_52]) ).
cnf(c_0_67,plain,
( ~ rdn_non_zero(X1)
| rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_68,plain,
( ~ accept_leader(X1,X2)
| ~ accept_city(X1,X3)
| ~ the_agent_not_in_any_proposed_teams(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_69,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(split_conjunct,[status(thm)],[event_37]) ).
cnf(c_0_70,plain,
accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_71,plain,
! [X23] :
( ( ~ accept_city(X23,coastvillage)
| accept_population(X23,other,n0) )
& ( ~ accept_city(X23,coastvillage)
| accept_population(X23,native,n85) )
& ( ~ accept_city(X23,coastvillage)
| accept_population(X23,muslim,n0) )
& ( ~ accept_city(X23,coastvillage)
| accept_population(X23,christian,n3) )
& ( ~ accept_city(X23,coastvillage)
| accept_population(X23,atheist,n12) )
& ( accept_city(X23,coastvillage)
| ~ accept_population(X23,other,n0)
| ~ accept_population(X23,native,n85)
| ~ accept_population(X23,muslim,n0)
| ~ accept_population(X23,christian,n3)
| ~ accept_population(X23,atheist,n12) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_7])])])]) ).
fof(c_0_72,negated_conjecture,
accept_population(countryamedicalorganization,native,n85),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
cnf(c_0_73,plain,
( ~ less(X1,n1)
| accept_population(countryamedicalorganization,muslim,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_59]) ).
cnf(c_0_74,plain,
less(n0,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_75,plain,
( ~ less(X1,n1)
| accept_population(countryamedicalorganization,other,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_63]) ).
cnf(c_0_76,plain,
accept_population(countryamedicalorganization,atheist,n20),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_77,plain,
( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X3),X2)))
| ~ rdn_positive_less(X2,rdnn(n2))
| less(X1,n20) ),
inference(spm,[status(thm)],[c_0_66,c_0_43]) ).
cnf(c_0_78,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(split_conjunct,[status(thm)],[rdn12]) ).
cnf(c_0_79,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(split_conjunct,[status(thm)],[rdn_positive_less12]) ).
cnf(c_0_80,plain,
( ~ accept_city(X1,cityb)
| accept_population(X1,christian,n20) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_81,plain,
( ~ rdn_translate(X1,rdn_pos(rdnn(X2)))
| ~ rdn_non_zero(rdnn(n2))
| less(X1,n20) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_82,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
fof(c_0_83,plain,
! [X76] :
( rdn_non_zero(rdnn(X76))
| ~ rdn_non_zero_digit(rdnn(X76)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])])]) ).
cnf(c_0_84,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_85,plain,
( ~ accept_population(X1,other,n0)
| ~ accept_population(X1,native,n85)
| ~ accept_population(X1,muslim,n0)
| ~ accept_population(X1,christian,n3)
| ~ accept_population(X1,atheist,n12)
| accept_city(X1,coastvillage) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_86,negated_conjecture,
accept_population(countryamedicalorganization,native,n85),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_87,plain,
accept_population(countryamedicalorganization,muslim,n0),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_88,plain,
accept_population(countryamedicalorganization,other,n0),
inference(spm,[status(thm)],[c_0_75,c_0_74]) ).
cnf(c_0_89,plain,
( ~ less(X1,n20)
| accept_population(countryamedicalorganization,atheist,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_76]) ).
cnf(c_0_90,plain,
less(n12,n20),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
cnf(c_0_91,plain,
accept_population(countryamedicalorganization,christian,n20),
inference(spm,[status(thm)],[c_0_80,c_0_46]) ).
cnf(c_0_92,plain,
( ~ rdn_non_zero(rdnn(n2))
| less(n3,n20) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_93,plain,
( ~ rdn_non_zero_digit(rdnn(X1))
| rdn_non_zero(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_94,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(split_conjunct,[status(thm)],[rdn_digit2]) ).
cnf(c_0_95,plain,
( ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,atheist,n12) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]),c_0_87]),c_0_88])]) ).
cnf(c_0_96,plain,
accept_population(countryamedicalorganization,atheist,n12),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,plain,
( ~ less(X1,n20)
| accept_population(countryamedicalorganization,christian,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_91]) ).
cnf(c_0_98,plain,
less(n3,n20),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).
cnf(c_0_99,plain,
~ accept_population(countryamedicalorganization,christian,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96])]) ).
cnf(c_0_100,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT010+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 12:46:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.37/1.07 % Version: 3.5.1
% 2.37/1.07 % Preprocessing class: FSLMSMSLSSSNFFN.
% 2.37/1.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.37/1.07 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 2.37/1.07 % Starting new_bool_3 with 600s (2) cores
% 2.37/1.07 % Starting new_bool_1 with 600s (2) cores
% 2.37/1.07 % Starting sh5l with 300s (1) cores
% 2.37/1.07 % new_bool_3 with pid 1110609 completed with status 9
% 2.37/1.07 % new_bool_1 with pid 1110610 completed with status 9
% 2.37/1.07 % sh5l with pid 1110611 completed with status 0
% 2.37/1.07 % Result found by sh5l
% 2.37/1.07 % Preprocessing class: FSLMSMSLSSSNFFN.
% 2.37/1.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.37/1.07 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 2.37/1.07 % Starting new_bool_3 with 600s (2) cores
% 2.37/1.07 % Starting new_bool_1 with 600s (2) cores
% 2.37/1.07 % Starting sh5l with 300s (1) cores
% 2.37/1.07 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 2.37/1.07 % SinE strategy is gf500_gu_R04_F100_L20000
% 2.37/1.07 % Search class: FGHSF-FSLM21-MFFFFFNN
% 2.37/1.07 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 2.37/1.07 % Starting SubtermCWHack with 28s (1) cores
% 2.37/1.07 % SubtermCWHack with pid 1110623 completed with status 0
% 2.37/1.07 % Result found by SubtermCWHack
% 2.37/1.07 % Preprocessing class: FSLMSMSLSSSNFFN.
% 2.37/1.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.37/1.07 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 2.37/1.07 % Starting new_bool_3 with 600s (2) cores
% 2.37/1.07 % Starting new_bool_1 with 600s (2) cores
% 2.37/1.07 % Starting sh5l with 300s (1) cores
% 2.37/1.07 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 2.37/1.07 % SinE strategy is gf500_gu_R04_F100_L20000
% 2.37/1.07 % Search class: FGHSF-FSLM21-MFFFFFNN
% 2.37/1.07 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 2.37/1.07 % Starting SubtermCWHack with 28s (1) cores
% 2.37/1.07 % Preprocessing time : 0.004 s
% 2.37/1.07
% 2.37/1.07 % Proof found!
% 2.37/1.07 % SZS status Theorem
% 2.37/1.07 % SZS output start CNFRefutation
% See solution above
% 2.37/1.07 % Parsed axioms : 556
% 2.37/1.07 % Removed by relevancy pruning/SinE : 244
% 2.37/1.07 % Initial clauses : 360
% 2.37/1.07 % Removed in clause preprocessing : 0
% 2.37/1.07 % Initial clauses in saturation : 360
% 2.37/1.07 % Processed clauses : 4000
% 2.37/1.07 % ...of these trivial : 599
% 2.37/1.07 % ...subsumed : 112
% 2.37/1.07 % ...remaining for further processing : 3289
% 2.37/1.07 % Other redundant clauses eliminated : 2
% 2.37/1.07 % Clauses deleted for lack of memory : 0
% 2.37/1.07 % Backward-subsumed : 4
% 2.37/1.07 % Backward-rewritten : 77
% 2.37/1.07 % Generated clauses : 48705
% 2.37/1.07 % ...of the previous two non-redundant : 12662
% 2.37/1.07 % ...aggressively subsumed : 0
% 2.37/1.07 % Contextual simplify-reflections : 0
% 2.37/1.07 % Paramodulations : 48701
% 2.37/1.07 % Factorizations : 2
% 2.37/1.07 % NegExts : 0
% 2.37/1.07 % Equation resolutions : 2
% 2.37/1.07 % Disequality decompositions : 0
% 2.37/1.07 % Total rewrite steps : 53403
% 2.37/1.07 % ...of those cached : 52067
% 2.37/1.07 % Propositional unsat checks : 0
% 2.37/1.07 % Propositional check models : 0
% 2.37/1.07 % Propositional check unsatisfiable : 0
% 2.37/1.07 % Propositional clauses : 0
% 2.37/1.07 % Propositional clauses after purity: 0
% 2.37/1.07 % Propositional unsat core size : 0
% 2.37/1.07 % Propositional preprocessing time : 0.000
% 2.37/1.07 % Propositional encoding time : 0.000
% 2.37/1.07 % Propositional solver time : 0.000
% 2.37/1.07 % Success case prop preproc time : 0.000
% 2.37/1.07 % Success case prop encoding time : 0.000
% 2.37/1.07 % Success case prop solver time : 0.000
% 2.37/1.07 % Current number of processed clauses : 3206
% 2.37/1.07 % Positive orientable unit clauses : 1712
% 2.37/1.07 % Positive unorientable unit clauses: 0
% 2.37/1.07 % Negative unit clauses : 212
% 2.37/1.07 % Non-unit-clauses : 1282
% 2.37/1.07 % Current number of unprocessed clauses: 9020
% 2.37/1.07 % ...number of literals in the above : 27510
% 2.37/1.07 % Current number of archived formulas : 0
% 2.37/1.07 % Current number of archived clauses : 81
% 2.37/1.07 % Clause-clause subsumption calls (NU) : 146011
% 2.37/1.07 % Rec. Clause-clause subsumption calls : 140701
% 2.37/1.07 % Non-unit clause-clause subsumptions : 89
% 2.37/1.07 % Unit Clause-clause subsumption calls : 81923
% 2.37/1.07 % Rewrite failures with RHS unbound : 0
% 2.37/1.07 % BW rewrite match attempts : 10779
% 2.37/1.07 % BW rewrite match successes : 77
% 2.37/1.07 % Condensation attempts : 0
% 2.37/1.07 % Condensation successes : 0
% 2.37/1.07 % Termbank termtop insertions : 442852
% 2.37/1.07 % Search garbage collected termcells : 1986
% 2.37/1.07
% 2.37/1.07 % -------------------------------------------------
% 2.37/1.07 % User time : 0.581 s
% 2.37/1.07 % System time : 0.033 s
% 2.37/1.07 % Total time : 0.614 s
% 2.37/1.07 % Maximum resident set size: 4852 pages
% 2.37/1.07
% 2.37/1.07 % -------------------------------------------------
% 2.37/1.07 % User time : 0.910 s
% 2.37/1.07 % System time : 0.141 s
% 2.37/1.07 % Total time : 1.051 s
% 2.37/1.07 % Maximum resident set size: 5120 pages
% 2.37/1.07 % E exiting
%------------------------------------------------------------------------------