TSTP Solution File: AGT011+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : AGT011+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 16:59:31 EDT 2023
% Result : Theorem 404.90s 101.84s
% Output : CNFRefutation 404.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 132 ( 61 unt; 0 def)
% Number of atoms : 310 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 317 ( 139 ~; 126 |; 39 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 31 ( 31 usr; 28 con; 0-2 aty)
% Number of variables : 158 ( 27 sgn; 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_4,axiom,
! [X1,X4,X2] :
( the_agent_in_all_proposed_teams(X1,X4,X2)
=> ( accept_leader(X1,X4)
& accept_city(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',a1_4) ).
fof(a1_6,axiom,
! [X1,X4,X2] :
( the_agent_not_in_any_proposed_teams(X1,X4,X2)
=> ~ ( accept_city(X1,X2)
& accept_leader(X1,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',a1_6) ).
fof(a1_3,axiom,
! [X1,X3,X5,X6] :
( ( accept_population(X1,X6,X3)
& less(X5,X3) )
=> accept_population(X1,X6,X5) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',a1_3) ).
fof(query_11,conjecture,
~ accept_population(countryamedicalorganization,native,n100),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',query_11) ).
fof(a2_12,axiom,
! [X1] :
( ( accept_population(X1,atheist,n78)
& accept_population(X1,christian,n20)
& accept_population(X1,muslim,n1)
& accept_population(X1,native,n0)
& accept_population(X1,other,n1) )
<=> accept_city(X1,cityb) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',a2_12) ).
fof(event_158,axiom,
the_agent_in_all_proposed_teams(countryamedicalorganization,countrybhumanitarianorganization,cityb),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',event_158) ).
fof(rdn_positive_less_transitivity,axiom,
! [X7,X8,X9] :
( ( rdn_positive_less(rdnn(X7),rdnn(X8))
& rdn_positive_less(rdnn(X8),rdnn(X9)) )
=> rdn_positive_less(rdnn(X7),rdnn(X9)) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_positive_less_transitivity) ).
fof(event_37,axiom,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',event_37) ).
fof(a1_5,axiom,
! [X1,X4,X2] :
( any_agent_in_all_proposed_teams(X1,X4,X2)
=> accept_leader(X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',a1_5) ).
fof(less_entry_point_pos_pos,axiom,
! [X7,X8,X16,X17] :
( ( rdn_translate(X7,rdn_pos(X16))
& rdn_translate(X8,rdn_pos(X17))
& rdn_positive_less(X16,X17) )
=> less(X7,X8) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',less_entry_point_pos_pos) ).
fof(rdn_positive_less34,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_positive_less34) ).
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/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_extra_digits_positive_less) ).
fof(rdn_non_zero_by_digit,axiom,
! [X7] :
( rdn_non_zero_digit(rdnn(X7))
=> rdn_non_zero(rdnn(X7)) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_non_zero_by_digit) ).
fof(rdn_positive_less45,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_positive_less45) ).
fof(rdn_positive_less23,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_positive_less23) ).
fof(event_38,axiom,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',event_38) ).
fof(a2_7,axiom,
! [X1] :
( ( accept_population(X1,atheist,n12)
& accept_population(X1,christian,n3)
& accept_population(X1,muslim,n0)
& accept_population(X1,native,n85)
& accept_population(X1,other,n0) )
<=> accept_city(X1,coastvillage) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',a2_7) ).
fof(a2_9,axiom,
! [X1] :
( ( accept_population(X1,atheist,n75)
& accept_population(X1,christian,n24)
& accept_population(X1,muslim,n1)
& accept_population(X1,native,n0)
& accept_population(X1,other,n0) )
<=> accept_city(X1,towna) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',a2_9) ).
fof(a1_1,axiom,
! [X1,X2,X3,X4] :
( accept_team(X1,X4,X2,X3)
<=> ( accept_city(X1,X2)
& accept_leader(X1,X4)
& accept_number(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',a1_1) ).
fof(rdn100,axiom,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn100) ).
fof(rdn_positive_less56,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_positive_less56) ).
fof(rdn85,axiom,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn85) ).
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/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_positive_less_multi_digit_high) ).
fof(rdn_digit1,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_digit1) ).
fof(rdn78,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn78) ).
fof(rdn20,axiom,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn20) ).
fof(rdn_digit2,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_digit2) ).
fof(rdn12,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn12) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn3) ).
fof(rdn_positive_less67,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_positive_less67) ).
fof(rdn_positive_less12,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_positive_less12) ).
fof(rdn1,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn1) ).
fof(rdn_positive_less01,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn_positive_less01) ).
fof(rdn0,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',rdn0) ).
fof(event_27,axiom,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
file('/export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p',event_27) ).
fof(c_0_35,plain,
! [X29,X30,X31] :
( ( accept_leader(X29,X30)
| ~ the_agent_in_all_proposed_teams(X29,X30,X31) )
& ( accept_city(X29,X31)
| ~ the_agent_in_all_proposed_teams(X29,X30,X31) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_4])])]) ).
fof(c_0_36,plain,
! [X35,X36,X37] :
( ~ the_agent_not_in_any_proposed_teams(X35,X36,X37)
| ~ accept_city(X35,X37)
| ~ accept_leader(X35,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_6])]) ).
fof(c_0_37,plain,
! [X25,X26,X27,X28] :
( ~ accept_population(X25,X28,X26)
| ~ less(X27,X26)
| accept_population(X25,X28,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])]) ).
fof(c_0_38,negated_conjecture,
accept_population(countryamedicalorganization,native,n100),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_11])]) ).
fof(c_0_39,plain,
! [X51] :
( ( ~ accept_population(X51,atheist,n78)
| ~ accept_population(X51,christian,n20)
| ~ accept_population(X51,muslim,n1)
| ~ accept_population(X51,native,n0)
| ~ accept_population(X51,other,n1)
| accept_city(X51,cityb) )
& ( accept_population(X51,atheist,n78)
| ~ accept_city(X51,cityb) )
& ( accept_population(X51,christian,n20)
| ~ accept_city(X51,cityb) )
& ( accept_population(X51,muslim,n1)
| ~ accept_city(X51,cityb) )
& ( accept_population(X51,native,n0)
| ~ accept_city(X51,cityb) )
& ( accept_population(X51,other,n1)
| ~ accept_city(X51,cityb) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_12])])]) ).
cnf(c_0_40,plain,
( accept_city(X1,X2)
| ~ the_agent_in_all_proposed_teams(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
the_agent_in_all_proposed_teams(countryamedicalorganization,countrybhumanitarianorganization,cityb),
inference(split_conjunct,[status(thm)],[event_158]) ).
fof(c_0_42,plain,
! [X53,X54,X55] :
( ~ rdn_positive_less(rdnn(X53),rdnn(X54))
| ~ rdn_positive_less(rdnn(X54),rdnn(X55))
| rdn_positive_less(rdnn(X53),rdnn(X55)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])]) ).
cnf(c_0_43,plain,
( ~ the_agent_not_in_any_proposed_teams(X1,X2,X3)
| ~ accept_city(X1,X3)
| ~ accept_leader(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(split_conjunct,[status(thm)],[event_37]) ).
fof(c_0_45,plain,
! [X32,X33,X34] :
( ~ any_agent_in_all_proposed_teams(X32,X33,X34)
| accept_leader(X32,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_5])]) ).
cnf(c_0_46,plain,
( accept_population(X1,X2,X4)
| ~ accept_population(X1,X2,X3)
| ~ less(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
accept_population(countryamedicalorganization,native,n100),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_48,plain,
! [X69,X70,X71,X72] :
( ~ rdn_translate(X69,rdn_pos(X71))
| ~ rdn_translate(X70,rdn_pos(X72))
| ~ rdn_positive_less(X71,X72)
| less(X69,X70) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).
cnf(c_0_49,plain,
( accept_population(X1,atheist,n78)
| ~ accept_city(X1,cityb) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
accept_city(countryamedicalorganization,cityb),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_51,plain,
( rdn_positive_less(rdnn(X1),rdnn(X3))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X2),rdnn(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(split_conjunct,[status(thm)],[rdn_positive_less34]) ).
cnf(c_0_53,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_54,plain,
( accept_leader(X1,X2)
| ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,negated_conjecture,
( accept_population(countryamedicalorganization,native,X1)
| ~ less(X1,n100) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,plain,
( less(X1,X3)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_positive_less(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_57,plain,
! [X63,X64,X65] :
( ~ rdn_non_zero(X65)
| rdn_positive_less(rdnn(X63),rdn(rdnn(X64),X65)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])]) ).
fof(c_0_58,plain,
! [X66] :
( ~ rdn_non_zero_digit(rdnn(X66))
| rdn_non_zero(rdnn(X66)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])]) ).
cnf(c_0_59,plain,
( accept_population(X1,christian,n20)
| ~ accept_city(X1,cityb) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_60,plain,
accept_population(countryamedicalorganization,atheist,n78),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_61,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).
cnf(c_0_62,plain,
( rdn_positive_less(rdnn(X1),rdnn(n4))
| ~ rdn_positive_less(rdnn(X1),rdnn(n3)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).
cnf(c_0_64,plain,
( ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,X1)
| ~ accept_city(countryamedicalorganization,coastvillage) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(split_conjunct,[status(thm)],[event_38]) ).
fof(c_0_66,plain,
! [X46] :
( ( ~ accept_population(X46,atheist,n12)
| ~ accept_population(X46,christian,n3)
| ~ accept_population(X46,muslim,n0)
| ~ accept_population(X46,native,n85)
| ~ accept_population(X46,other,n0)
| accept_city(X46,coastvillage) )
& ( accept_population(X46,atheist,n12)
| ~ accept_city(X46,coastvillage) )
& ( accept_population(X46,christian,n3)
| ~ accept_city(X46,coastvillage) )
& ( accept_population(X46,muslim,n0)
| ~ accept_city(X46,coastvillage) )
& ( accept_population(X46,native,n85)
| ~ accept_city(X46,coastvillage) )
& ( accept_population(X46,other,n0)
| ~ accept_city(X46,coastvillage) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_7])])]) ).
fof(c_0_67,plain,
! [X48] :
( ( ~ accept_population(X48,atheist,n75)
| ~ accept_population(X48,christian,n24)
| ~ accept_population(X48,muslim,n1)
| ~ accept_population(X48,native,n0)
| ~ accept_population(X48,other,n0)
| accept_city(X48,towna) )
& ( accept_population(X48,atheist,n75)
| ~ accept_city(X48,towna) )
& ( accept_population(X48,christian,n24)
| ~ accept_city(X48,towna) )
& ( accept_population(X48,muslim,n1)
| ~ accept_city(X48,towna) )
& ( accept_population(X48,native,n0)
| ~ accept_city(X48,towna) )
& ( accept_population(X48,other,n0)
| ~ accept_city(X48,towna) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_9])])]) ).
fof(c_0_68,plain,
! [X18,X19,X20,X21] :
( ( accept_city(X18,X19)
| ~ accept_team(X18,X21,X19,X20) )
& ( accept_leader(X18,X21)
| ~ accept_team(X18,X21,X19,X20) )
& ( accept_number(X18,X20)
| ~ accept_team(X18,X21,X19,X20) )
& ( ~ accept_city(X18,X19)
| ~ accept_leader(X18,X21)
| ~ accept_number(X18,X20)
| accept_team(X18,X21,X19,X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])]) ).
cnf(c_0_69,negated_conjecture,
( accept_population(countryamedicalorganization,native,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(n100,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_70,plain,
rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
inference(split_conjunct,[status(thm)],[rdn100]) ).
cnf(c_0_71,plain,
( rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1))
| ~ rdn_non_zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_72,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_73,plain,
accept_population(countryamedicalorganization,christian,n20),
inference(spm,[status(thm)],[c_0_59,c_0_50]) ).
cnf(c_0_74,plain,
( accept_population(countryamedicalorganization,atheist,X1)
| ~ less(X1,n78) ),
inference(spm,[status(thm)],[c_0_46,c_0_60]) ).
cnf(c_0_75,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(split_conjunct,[status(thm)],[rdn_positive_less56]) ).
cnf(c_0_76,plain,
( rdn_positive_less(rdnn(X1),rdnn(n5))
| ~ rdn_positive_less(rdnn(X1),rdnn(n4)) ),
inference(spm,[status(thm)],[c_0_51,c_0_61]) ).
cnf(c_0_77,plain,
rdn_positive_less(rdnn(n2),rdnn(n4)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_78,plain,
~ accept_city(countryamedicalorganization,coastvillage),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_79,plain,
( accept_city(X1,coastvillage)
| ~ accept_population(X1,atheist,n12)
| ~ accept_population(X1,christian,n3)
| ~ accept_population(X1,muslim,n0)
| ~ accept_population(X1,native,n85)
| ~ accept_population(X1,other,n0) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_80,plain,
( accept_population(X1,other,n0)
| ~ accept_city(X1,towna) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_81,plain,
( accept_city(X1,X2)
| ~ accept_team(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_82,negated_conjecture,
( accept_population(countryamedicalorganization,native,X1)
| ~ rdn_positive_less(X2,rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_83,plain,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
inference(split_conjunct,[status(thm)],[rdn85]) ).
fof(c_0_84,plain,
! [X56,X57,X58,X59] :
( ~ rdn_positive_less(X57,X59)
| rdn_positive_less(rdn(rdnn(X56),X57),rdn(rdnn(X58),X59)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_high])]) ).
cnf(c_0_85,plain,
( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(X3)))
| ~ rdn_non_zero_digit(rdnn(X3)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_86,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(split_conjunct,[status(thm)],[rdn_digit1]) ).
cnf(c_0_87,plain,
( accept_population(countryamedicalorganization,christian,X1)
| ~ less(X1,n20) ),
inference(spm,[status(thm)],[c_0_46,c_0_73]) ).
cnf(c_0_88,plain,
( accept_population(countryamedicalorganization,atheist,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(n78,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_74,c_0_56]) ).
cnf(c_0_89,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(split_conjunct,[status(thm)],[rdn78]) ).
cnf(c_0_90,plain,
( rdn_positive_less(rdnn(X1),rdnn(n6))
| ~ rdn_positive_less(rdnn(X1),rdnn(n5)) ),
inference(spm,[status(thm)],[c_0_51,c_0_75]) ).
cnf(c_0_91,plain,
rdn_positive_less(rdnn(n2),rdnn(n5)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_92,plain,
( accept_population(X1,muslim,n1)
| ~ accept_city(X1,cityb) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_93,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_population(countryamedicalorganization,native,n85)
| ~ accept_population(countryamedicalorganization,other,n0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_94,plain,
( accept_population(X1,other,n0)
| ~ accept_team(X1,X2,towna,X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_95,negated_conjecture,
( accept_population(countryamedicalorganization,native,n85)
| ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n8)),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_96,plain,
( rdn_positive_less(rdn(rdnn(X3),X1),rdn(rdnn(X4),X2))
| ~ rdn_positive_less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_97,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n1))),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_98,plain,
( accept_population(countryamedicalorganization,christian,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(n20,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_87,c_0_56]) ).
cnf(c_0_99,plain,
rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
inference(split_conjunct,[status(thm)],[rdn20]) ).
cnf(c_0_100,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(split_conjunct,[status(thm)],[rdn_digit2]) ).
cnf(c_0_101,plain,
( accept_population(countryamedicalorganization,atheist,X1)
| ~ rdn_positive_less(X2,rdn(rdnn(n8),rdnn(n7)))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_102,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(split_conjunct,[status(thm)],[rdn12]) ).
cnf(c_0_103,plain,
rdn_positive_less(rdnn(n2),rdnn(n6)),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_104,plain,
accept_population(countryamedicalorganization,muslim,n1),
inference(spm,[status(thm)],[c_0_92,c_0_50]) ).
cnf(c_0_105,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_population(countryamedicalorganization,native,n85)
| ~ accept_team(countryamedicalorganization,X1,towna,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_106,negated_conjecture,
accept_population(countryamedicalorganization,native,n85),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).
cnf(c_0_107,plain,
( accept_population(countryamedicalorganization,christian,X1)
| ~ rdn_positive_less(X2,rdn(rdnn(n0),rdnn(n2)))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_108,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
cnf(c_0_109,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n2))),
inference(spm,[status(thm)],[c_0_85,c_0_100]) ).
cnf(c_0_110,plain,
( accept_population(countryamedicalorganization,atheist,n12)
| ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n8),rdnn(n7))) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(split_conjunct,[status(thm)],[rdn_positive_less67]) ).
cnf(c_0_112,plain,
( rdn_positive_less(rdnn(X1),rdnn(n6))
| ~ rdn_positive_less(rdnn(X1),rdnn(n2)) ),
inference(spm,[status(thm)],[c_0_51,c_0_103]) ).
cnf(c_0_113,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(split_conjunct,[status(thm)],[rdn_positive_less12]) ).
cnf(c_0_114,plain,
( accept_population(countryamedicalorganization,muslim,X1)
| ~ less(X1,n1) ),
inference(spm,[status(thm)],[c_0_46,c_0_104]) ).
cnf(c_0_115,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_team(countryamedicalorganization,X1,towna,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).
cnf(c_0_116,plain,
accept_population(countryamedicalorganization,christian,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109])]) ).
cnf(c_0_117,plain,
( accept_population(countryamedicalorganization,atheist,n12)
| ~ rdn_positive_less(rdnn(n1),rdnn(n7)) ),
inference(spm,[status(thm)],[c_0_110,c_0_96]) ).
cnf(c_0_118,plain,
( rdn_positive_less(rdnn(X1),rdnn(n7))
| ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_51,c_0_111]) ).
cnf(c_0_119,plain,
rdn_positive_less(rdnn(n1),rdnn(n6)),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_120,plain,
( accept_population(countryamedicalorganization,muslim,X1)
| ~ rdn_positive_less(X2,X3)
| ~ rdn_translate(n1,rdn_pos(X3))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_114,c_0_56]) ).
cnf(c_0_121,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(split_conjunct,[status(thm)],[rdn1]) ).
cnf(c_0_122,plain,
( ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_team(countryamedicalorganization,X1,towna,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116])]) ).
cnf(c_0_123,plain,
accept_population(countryamedicalorganization,atheist,n12),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).
cnf(c_0_124,plain,
( accept_population(countryamedicalorganization,muslim,X1)
| ~ rdn_positive_less(X2,rdnn(n1))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(split_conjunct,[status(thm)],[rdn_positive_less01]) ).
cnf(c_0_126,plain,
( ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_team(countryamedicalorganization,X1,towna,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]) ).
cnf(c_0_127,plain,
( accept_population(countryamedicalorganization,muslim,X1)
| ~ rdn_translate(X1,rdn_pos(rdnn(n0))) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(split_conjunct,[status(thm)],[rdn0]) ).
cnf(c_0_129,plain,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
inference(split_conjunct,[status(thm)],[event_27]) ).
cnf(c_0_130,plain,
~ accept_team(countryamedicalorganization,X1,towna,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128])]) ).
cnf(c_0_131,plain,
$false,
inference(sr,[status(thm)],[c_0_129,c_0_130]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : AGT011+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n002.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 : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 22:18:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.52 Running first-order model finding
% 0.22/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.0WgyzqpYnQ/E---3.1_30702.p
% 404.90/101.84 # Version: 3.1pre001
% 404.90/101.84 # Preprocessing class: FSLMSMSLSSSNFFN.
% 404.90/101.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 404.90/101.84 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 404.90/101.84 # Starting new_bool_3 with 600s (2) cores
% 404.90/101.84 # Starting new_bool_1 with 600s (2) cores
% 404.90/101.84 # Starting sh5l with 300s (1) cores
% 404.90/101.84 # new_bool_1 with pid 30862 completed with status 8
% 404.90/101.84 # new_bool_3 with pid 30861 completed with status 8
% 404.90/101.84 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 30859 completed with status 0
% 404.90/101.84 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 404.90/101.84 # Preprocessing class: FSLMSMSLSSSNFFN.
% 404.90/101.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 404.90/101.84 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 404.90/101.84 # No SInE strategy applied
% 404.90/101.84 # Search class: FGHSF-FSLM21-MFFFFFNN
% 404.90/101.84 # Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 404.90/101.84 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 82s (1) cores
% 404.90/101.84 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 404.90/101.84 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 82s (1) cores
% 404.90/101.84 # G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with pid 30873 completed with status 7
% 404.90/101.84 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 82s (1) cores
% 404.90/101.84 # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 30871 completed with status 7
% 404.90/101.84 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 82s (1) cores
% 404.90/101.84 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 30872 completed with status 7
% 404.90/101.84 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 82s (1) cores
% 404.90/101.84 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with pid 1298 completed with status 0
% 404.90/101.84 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I
% 404.90/101.84 # Preprocessing class: FSLMSMSLSSSNFFN.
% 404.90/101.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 404.90/101.84 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 404.90/101.84 # No SInE strategy applied
% 404.90/101.84 # Search class: FGHSF-FSLM21-MFFFFFNN
% 404.90/101.84 # Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 404.90/101.84 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 82s (1) cores
% 404.90/101.84 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 404.90/101.84 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 82s (1) cores
% 404.90/101.84 # G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with pid 30873 completed with status 7
% 404.90/101.84 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 82s (1) cores
% 404.90/101.84 # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 30871 completed with status 7
% 404.90/101.84 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 82s (1) cores
% 404.90/101.84 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 30872 completed with status 7
% 404.90/101.84 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 82s (1) cores
% 404.90/101.84 # Preprocessing time : 0.005 s
% 404.90/101.84
% 404.90/101.84 # Proof found!
% 404.90/101.84 # SZS status Theorem
% 404.90/101.84 # SZS output start CNFRefutation
% See solution above
% 404.90/101.84 # Parsed axioms : 556
% 404.90/101.84 # Removed by relevancy pruning/SinE : 0
% 404.90/101.84 # Initial clauses : 629
% 404.90/101.84 # Removed in clause preprocessing : 0
% 404.90/101.84 # Initial clauses in saturation : 629
% 404.90/101.84 # Processed clauses : 13749
% 404.90/101.84 # ...of these trivial : 363
% 404.90/101.84 # ...subsumed : 3278
% 404.90/101.84 # ...remaining for further processing : 10108
% 404.90/101.84 # Other redundant clauses eliminated : 2
% 404.90/101.84 # Clauses deleted for lack of memory : 0
% 404.90/101.84 # Backward-subsumed : 1046
% 404.90/101.84 # Backward-rewritten : 1341
% 404.90/101.84 # Generated clauses : 401194
% 404.90/101.84 # ...of the previous two non-redundant : 328014
% 404.90/101.84 # ...aggressively subsumed : 0
% 404.90/101.84 # Contextual simplify-reflections : 30
% 404.90/101.84 # Paramodulations : 401187
% 404.90/101.84 # Factorizations : 2
% 404.90/101.84 # NegExts : 0
% 404.90/101.84 # Equation resolutions : 2
% 404.90/101.84 # Total rewrite steps : 81714
% 404.90/101.84 # Propositional unsat checks : 2
% 404.90/101.84 # Propositional check models : 2
% 404.90/101.84 # Propositional check unsatisfiable : 0
% 404.90/101.84 # Propositional clauses : 0
% 404.90/101.84 # Propositional clauses after purity: 0
% 404.90/101.84 # Propositional unsat core size : 0
% 404.90/101.84 # Propositional preprocessing time : 0.000
% 404.90/101.84 # Propositional encoding time : 0.406
% 404.90/101.84 # Propositional solver time : 0.030
% 404.90/101.84 # Success case prop preproc time : 0.000
% 404.90/101.84 # Success case prop encoding time : 0.000
% 404.90/101.84 # Success case prop solver time : 0.000
% 404.90/101.84 # Current number of processed clauses : 7716
% 404.90/101.84 # Positive orientable unit clauses : 1033
% 404.90/101.84 # Positive unorientable unit clauses: 0
% 404.90/101.84 # Negative unit clauses : 369
% 404.90/101.84 # Non-unit-clauses : 6314
% 404.90/101.84 # Current number of unprocessed clauses: 313296
% 404.90/101.84 # ...number of literals in the above : 1659465
% 404.90/101.84 # Current number of archived formulas : 0
% 404.90/101.84 # Current number of archived clauses : 2390
% 404.90/101.84 # Clause-clause subsumption calls (NU) : 9164577
% 404.90/101.84 # Rec. Clause-clause subsumption calls : 3595530
% 404.90/101.84 # Non-unit clause-clause subsumptions : 1938
% 404.90/101.84 # Unit Clause-clause subsumption calls : 476205
% 404.90/101.84 # Rewrite failures with RHS unbound : 0
% 404.90/101.84 # BW rewrite match attempts : 39675
% 404.90/101.84 # BW rewrite match successes : 208
% 404.90/101.84 # Condensation attempts : 0
% 404.90/101.84 # Condensation successes : 0
% 404.90/101.84 # Termbank termtop insertions : 7890590
% 404.90/101.84
% 404.90/101.84 # -------------------------------------------------
% 404.90/101.84 # User time : 263.946 s
% 404.90/101.84 # System time : 1.202 s
% 404.90/101.84 # Total time : 265.148 s
% 404.90/101.84 # Maximum resident set size: 2876 pages
% 404.90/101.84
% 404.90/101.84 # -------------------------------------------------
% 404.90/101.84 # User time : 302.144 s
% 404.90/101.84 # System time : 1.685 s
% 404.90/101.84 # Total time : 303.829 s
% 404.90/101.84 # Maximum resident set size: 2120 pages
% 404.90/101.84 % E---3.1 exiting
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