%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : AGT007+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 : n017.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 11:47:25 AM UTC 2026
% Result : Theorem 20.38s 10.80s
% Output : CNFRefutation 20.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 33
% Syntax : Number of formulae : 135 ( 71 unt; 0 def)
% Number of atoms : 297 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 280 ( 118 ~; 112 |; 39 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 28 ( 28 usr; 25 con; 0-2 aty)
% Number of variables : 125 ( 8 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_80,axiom,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_80) ).
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_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(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(rdn_positive_less_transitivity,axiom,
! [X7,X8,X9] :
( ( rdn_positive_less(rdnn(X8),rdnn(X9))
& rdn_positive_less(rdnn(X7),rdnn(X8)) )
=> rdn_positive_less(rdnn(X7),rdnn(X9)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).
fof(rdn4,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn4) ).
fof(rdn_positive_less45,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
fof(rdn_positive_less34,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).
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(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn3) ).
fof(rdn65,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn65) ).
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(rdn78,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn78) ).
fof(rdn_positive_less_multi_digit_low,axiom,
! [X10,X14,X12] :
( ( rdn_non_zero(X14)
& rdn_positive_less(rdnn(X10),rdnn(X12)) )
=> rdn_positive_less(rdn(rdnn(X10),X14),rdn(rdnn(X12),X14)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).
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(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(query_7,conjecture,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_7) ).
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_204,axiom,
accept_number(countrybcivilorganization,n3),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_204) ).
fof(event_18,axiom,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_18) ).
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(rdn2,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn2) ).
fof(rdn8,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn8) ).
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(rdn70,axiom,
rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn70) ).
fof(rdn_positive_less78,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less78) ).
fof(rdn_positive_less67,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less67) ).
fof(rdn_positive_less56,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).
fof(a2_11,axiom,
! [X1] :
( ( accept_population(X1,other,n2)
& accept_population(X1,native,n0)
& accept_population(X1,muslim,n8)
& accept_population(X1,christian,n20)
& accept_population(X1,atheist,n70) )
<=> accept_city(X1,townb) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_11) ).
fof(rdn_digit6,axiom,
rdn_non_zero_digit(rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit6) ).
fof(rdn_digit7,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).
fof(c_0_33,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_34,plain,
! [X57] :
( ( ~ accept_city(X57,townc)
| accept_population(X57,other,n5) )
& ( ~ accept_city(X57,townc)
| accept_population(X57,native,n0) )
& ( ~ accept_city(X57,townc)
| accept_population(X57,muslim,n65) )
& ( ~ accept_city(X57,townc)
| accept_population(X57,christian,n0) )
& ( ~ accept_city(X57,townc)
| accept_population(X57,atheist,n30) )
& ( accept_city(X57,townc)
| ~ accept_population(X57,other,n5)
| ~ accept_population(X57,native,n0)
| ~ accept_population(X57,muslim,n65)
| ~ accept_population(X57,christian,n0)
| ~ accept_population(X57,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_35,plain,
( ~ the_agent_in_all_proposed_teams(X1,X3,X2)
| accept_city(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_36,plain,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc),
inference(split_conjunct,[status(thm)],[event_80]) ).
fof(c_0_37,plain,
! [X35,X36,X37,X38] :
( less(X35,X36)
| ~ rdn_positive_less(X37,X38)
| ~ rdn_translate(X36,rdn_pos(X38))
| ~ rdn_translate(X35,rdn_pos(X37)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])])]) ).
fof(c_0_38,plain,
! [X53,X54,X55,X56] :
( accept_population(X53,X56,X55)
| ~ less(X55,X54)
| ~ accept_population(X53,X56,X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])])]) ).
cnf(c_0_39,plain,
( ~ accept_city(X1,townc)
| accept_population(X1,other,n5) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
accept_city(countrybcivilorganization,townc),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,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_37]) ).
cnf(c_0_42,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
fof(c_0_43,plain,
! [X22,X23,X24] :
( rdn_positive_less(rdnn(X22),rdnn(X24))
| ~ rdn_positive_less(rdnn(X23),rdnn(X24))
| ~ rdn_positive_less(rdnn(X22),rdnn(X23)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])])]) ).
cnf(c_0_44,plain,
( ~ less(X4,X3)
| ~ accept_population(X1,X2,X3)
| accept_population(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
accept_population(countrybcivilorganization,other,n5),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n5))
| less(X1,n5) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(split_conjunct,[status(thm)],[rdn4]) ).
cnf(c_0_48,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).
cnf(c_0_49,plain,
( ~ rdn_positive_less(rdnn(X2),rdnn(X3))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| rdn_positive_less(rdnn(X1),rdnn(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(split_conjunct,[status(thm)],[rdn_positive_less34]) ).
cnf(c_0_51,plain,
( ~ less(X1,n5)
| accept_population(countrybcivilorganization,other,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
less(n4,n5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_53,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n3))
| rdn_positive_less(rdnn(X1),rdnn(n4)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).
cnf(c_0_55,plain,
accept_population(countrybcivilorganization,other,n4),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n4))
| less(X1,n4) ),
inference(spm,[status(thm)],[c_0_41,c_0_47]) ).
cnf(c_0_57,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
cnf(c_0_58,plain,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
inference(split_conjunct,[status(thm)],[rdn65]) ).
fof(c_0_59,plain,
! [X32,X33,X34] :
( rdn_positive_less(rdnn(X32),rdn(rdnn(X33),X34))
| ~ rdn_non_zero(X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])])]) ).
cnf(c_0_60,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(split_conjunct,[status(thm)],[rdn78]) ).
fof(c_0_61,plain,
! [X29,X30,X31] :
( rdn_positive_less(rdn(rdnn(X29),X30),rdn(rdnn(X31),X30))
| ~ rdn_non_zero(X30)
| ~ rdn_positive_less(rdnn(X29),rdnn(X31)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_low])])]) ).
cnf(c_0_62,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n4))
| rdn_positive_less(rdnn(X1),rdnn(n5)) ),
inference(spm,[status(thm)],[c_0_49,c_0_48]) ).
cnf(c_0_63,plain,
rdn_positive_less(rdnn(n2),rdnn(n4)),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_64,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(split_conjunct,[status(thm)],[rdn_positive_less12]) ).
fof(c_0_65,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])])])]) ).
cnf(c_0_66,plain,
( ~ less(X1,n4)
| accept_population(countrybcivilorganization,other,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_55]) ).
cnf(c_0_67,plain,
less(n3,n4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_50])]) ).
fof(c_0_68,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(assume_negation,[status(cth)],[query_7]) ).
cnf(c_0_69,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n6)))
| less(X1,n65) ),
inference(spm,[status(thm)],[c_0_41,c_0_58]) ).
cnf(c_0_70,plain,
( ~ rdn_non_zero(X1)
| rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n8),rdnn(n7)))
| less(X1,n78) ),
inference(spm,[status(thm)],[c_0_41,c_0_60]) ).
cnf(c_0_72,plain,
( ~ rdn_non_zero(X3)
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| rdn_positive_less(rdn(rdnn(X1),X3),rdn(rdnn(X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_73,plain,
rdn_positive_less(rdnn(n2),rdnn(n5)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_74,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n1))
| rdn_positive_less(rdnn(X1),rdnn(n2)) ),
inference(spm,[status(thm)],[c_0_49,c_0_64]) ).
cnf(c_0_75,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(split_conjunct,[status(thm)],[rdn_positive_less01]) ).
cnf(c_0_76,plain,
( ~ accept_number(X1,X4)
| ~ accept_leader(X1,X3)
| ~ accept_city(X1,X2)
| accept_team(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_77,plain,
accept_number(countrybcivilorganization,n3),
inference(split_conjunct,[status(thm)],[event_204]) ).
cnf(c_0_78,plain,
( ~ accept_team(X1,X2,X3,X4)
| accept_leader(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_79,plain,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4),
inference(split_conjunct,[status(thm)],[event_18]) ).
fof(c_0_80,plain,
! [X59] :
( ( ~ accept_city(X59,cityb)
| accept_population(X59,other,n1) )
& ( ~ accept_city(X59,cityb)
| accept_population(X59,native,n0) )
& ( ~ accept_city(X59,cityb)
| accept_population(X59,muslim,n1) )
& ( ~ accept_city(X59,cityb)
| accept_population(X59,christian,n20) )
& ( ~ accept_city(X59,cityb)
| accept_population(X59,atheist,n78) )
& ( accept_city(X59,cityb)
| ~ accept_population(X59,other,n1)
| ~ accept_population(X59,native,n0)
| ~ accept_population(X59,muslim,n1)
| ~ accept_population(X59,christian,n20)
| ~ accept_population(X59,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_81,plain,
( ~ accept_team(X1,X3,X2,X4)
| accept_city(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_82,plain,
accept_population(countrybcivilorganization,other,n3),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_83,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n3))
| less(X1,n3) ),
inference(spm,[status(thm)],[c_0_41,c_0_57]) ).
cnf(c_0_84,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdn2]) ).
fof(c_0_85,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
cnf(c_0_86,plain,
( ~ accept_city(X1,townc)
| accept_population(X1,muslim,n65) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_87,plain,
( ~ rdn_translate(X1,rdn_pos(rdnn(X2)))
| ~ rdn_non_zero(rdnn(n6))
| less(X1,n65) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_88,plain,
rdn_translate(n8,rdn_pos(rdnn(n8))),
inference(split_conjunct,[status(thm)],[rdn8]) ).
fof(c_0_89,plain,
! [X70] :
( rdn_non_zero(rdnn(X70))
| ~ rdn_non_zero_digit(rdnn(X70)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])])]) ).
cnf(c_0_90,plain,
( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),rdnn(n7))))
| ~ rdn_positive_less(rdnn(X2),rdnn(n8))
| ~ rdn_non_zero(rdnn(n7))
| less(X1,n78) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_91,plain,
rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
inference(split_conjunct,[status(thm)],[rdn70]) ).
cnf(c_0_92,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(split_conjunct,[status(thm)],[rdn_positive_less78]) ).
cnf(c_0_93,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(split_conjunct,[status(thm)],[rdn_positive_less67]) ).
cnf(c_0_94,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(split_conjunct,[status(thm)],[rdn_positive_less56]) ).
cnf(c_0_95,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n2))
| rdn_positive_less(rdnn(X1),rdnn(n5)) ),
inference(spm,[status(thm)],[c_0_49,c_0_73]) ).
cnf(c_0_96,plain,
rdn_positive_less(rdnn(n0),rdnn(n2)),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_97,plain,
( ~ accept_city(countrybcivilorganization,X2)
| ~ accept_leader(countrybcivilorganization,X1)
| accept_team(countrybcivilorganization,X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_98,plain,
accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
fof(c_0_99,plain,
! [X18] :
( ( ~ accept_city(X18,townb)
| accept_population(X18,other,n2) )
& ( ~ accept_city(X18,townb)
| accept_population(X18,native,n0) )
& ( ~ accept_city(X18,townb)
| accept_population(X18,muslim,n8) )
& ( ~ accept_city(X18,townb)
| accept_population(X18,christian,n20) )
& ( ~ accept_city(X18,townb)
| accept_population(X18,atheist,n70) )
& ( accept_city(X18,townb)
| ~ accept_population(X18,other,n2)
| ~ accept_population(X18,native,n0)
| ~ accept_population(X18,muslim,n8)
| ~ accept_population(X18,christian,n20)
| ~ accept_population(X18,atheist,n70) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_11])])])]) ).
cnf(c_0_100,plain,
( ~ accept_city(X1,cityb)
| accept_population(X1,christian,n20) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_101,plain,
accept_city(countrybcivilorganization,cityb),
inference(spm,[status(thm)],[c_0_81,c_0_79]) ).
cnf(c_0_102,plain,
( ~ accept_city(X1,townc)
| accept_population(X1,native,n0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_103,plain,
( ~ less(X1,n3)
| accept_population(countrybcivilorganization,other,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_82]) ).
cnf(c_0_104,plain,
less(n2,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_54])]) ).
fof(c_0_105,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(fof_nnf,[status(thm)],[c_0_85]) ).
cnf(c_0_106,plain,
accept_population(countrybcivilorganization,muslim,n65),
inference(spm,[status(thm)],[c_0_86,c_0_40]) ).
cnf(c_0_107,plain,
( ~ rdn_non_zero(rdnn(n6))
| less(n8,n65) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_108,plain,
( ~ rdn_non_zero_digit(rdnn(X1))
| rdn_non_zero(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_109,plain,
rdn_non_zero_digit(rdnn(n6)),
inference(split_conjunct,[status(thm)],[rdn_digit6]) ).
cnf(c_0_110,plain,
( ~ accept_city(X1,cityb)
| accept_population(X1,atheist,n78) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_111,plain,
( ~ rdn_positive_less(rdnn(n0),rdnn(n8))
| ~ rdn_non_zero(rdnn(n7))
| less(n70,n78) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_112,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(split_conjunct,[status(thm)],[rdn_digit7]) ).
cnf(c_0_113,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n7))
| rdn_positive_less(rdnn(X1),rdnn(n8)) ),
inference(spm,[status(thm)],[c_0_49,c_0_92]) ).
cnf(c_0_114,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n6))
| rdn_positive_less(rdnn(X1),rdnn(n7)) ),
inference(spm,[status(thm)],[c_0_49,c_0_93]) ).
cnf(c_0_115,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n5))
| rdn_positive_less(rdnn(X1),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_49,c_0_94]) ).
cnf(c_0_116,plain,
rdn_positive_less(rdnn(n0),rdnn(n5)),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_117,plain,
( ~ accept_city(countrybcivilorganization,X1)
| accept_team(countrybcivilorganization,countrybhumanitarianorganization,X1,n3) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_118,plain,
( ~ accept_population(X1,other,n2)
| ~ accept_population(X1,native,n0)
| ~ accept_population(X1,muslim,n8)
| ~ accept_population(X1,christian,n20)
| ~ accept_population(X1,atheist,n70)
| accept_city(X1,townb) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_119,plain,
accept_population(countrybcivilorganization,christian,n20),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_120,plain,
accept_population(countrybcivilorganization,native,n0),
inference(spm,[status(thm)],[c_0_102,c_0_40]) ).
cnf(c_0_121,plain,
accept_population(countrybcivilorganization,other,n2),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_122,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_123,plain,
( ~ less(X1,n65)
| accept_population(countrybcivilorganization,muslim,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_106]) ).
cnf(c_0_124,plain,
less(n8,n65),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109])]) ).
cnf(c_0_125,plain,
accept_population(countrybcivilorganization,atheist,n78),
inference(spm,[status(thm)],[c_0_110,c_0_101]) ).
cnf(c_0_126,plain,
( ~ rdn_positive_less(rdnn(n0),rdnn(n8))
| less(n70,n78) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_108]),c_0_112])]) ).
cnf(c_0_127,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n6))
| rdn_positive_less(rdnn(X1),rdnn(n8)) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_128,plain,
rdn_positive_less(rdnn(n0),rdnn(n6)),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_129,plain,
( ~ accept_population(countrybcivilorganization,muslim,n8)
| ~ accept_population(countrybcivilorganization,atheist,n70) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120]),c_0_121])]),c_0_122]) ).
cnf(c_0_130,plain,
accept_population(countrybcivilorganization,muslim,n8),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_131,plain,
( ~ less(X1,n78)
| accept_population(countrybcivilorganization,atheist,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_125]) ).
cnf(c_0_132,plain,
less(n70,n78),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128])]) ).
cnf(c_0_133,plain,
~ accept_population(countrybcivilorganization,atheist,n70),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130])]) ).
cnf(c_0_134,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT007+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.61 % Computer : n017.cluster.edu
% 0.12/5.61 % Model : x86_64 x86_64
% 0.12/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.61 % Memory : 8046.5625MB
% 0.12/5.61 % OS : Linux 6.8.0-71-generic
% 0.12/5.61 % CPULimit : 300
% 0.12/5.61 % WCLimit : 300
% 0.12/5.61 % DateTime : Mon Sep 21 12:43:48 UTC 2026
% 0.12/5.61 % CPUTime :
% 0.12/5.61 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.67 Running first-order theorem proving
% 0.12/5.67 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
% 20.38/10.80 % Version: 3.5.1
% 20.38/10.80 % Preprocessing class: FSLMSMSLSSSNFFN.
% 20.38/10.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.38/10.80 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 20.38/10.80 % Starting new_bool_3 with 600s (2) cores
% 20.38/10.80 % Starting new_bool_1 with 600s (2) cores
% 20.38/10.80 % Starting sh5l with 300s (1) cores
% 20.38/10.80 % new_bool_3 with pid 2355961 completed with status 9
% 20.38/10.80 % new_bool_1 with pid 2355962 completed with status 9
% 20.38/10.80 % sh5l with pid 2355963 completed with status 0
% 20.38/10.80 % Result found by sh5l
% 20.38/10.80 % Preprocessing class: FSLMSMSLSSSNFFN.
% 20.38/10.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.38/10.80 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 20.38/10.80 % Starting new_bool_3 with 600s (2) cores
% 20.38/10.80 % Starting new_bool_1 with 600s (2) cores
% 20.38/10.80 % Starting sh5l with 300s (1) cores
% 20.38/10.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 20.38/10.80 % SinE strategy is gf500_gu_R04_F100_L20000
% 20.38/10.80 % Search class: FGHSF-FSLM21-MFFFFFNN
% 20.38/10.80 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 20.38/10.80 % Starting SubtermCWHack with 28s (1) cores
% 20.38/10.80 % SubtermCWHack with pid 2355968 completed with status 0
% 20.38/10.80 % Result found by SubtermCWHack
% 20.38/10.80 % Preprocessing class: FSLMSMSLSSSNFFN.
% 20.38/10.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.38/10.80 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 20.38/10.80 % Starting new_bool_3 with 600s (2) cores
% 20.38/10.80 % Starting new_bool_1 with 600s (2) cores
% 20.38/10.80 % Starting sh5l with 300s (1) cores
% 20.38/10.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 20.38/10.80 % SinE strategy is gf500_gu_R04_F100_L20000
% 20.38/10.80 % Search class: FGHSF-FSLM21-MFFFFFNN
% 20.38/10.80 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 20.38/10.80 % Starting SubtermCWHack with 28s (1) cores
% 20.38/10.80 % Preprocessing time : 0.006 s
% 20.38/10.80
% 20.38/10.80 % Proof found!
% 20.38/10.80 % SZS status Theorem
% 20.38/10.80 % SZS output start CNFRefutation
% See solution above
% 20.75/10.80 % Parsed axioms : 556
% 20.75/10.80 % Removed by relevancy pruning/SinE : 244
% 20.75/10.80 % Initial clauses : 355
% 20.75/10.80 % Removed in clause preprocessing : 0
% 20.75/10.80 % Initial clauses in saturation : 355
% 20.75/10.80 % Processed clauses : 15963
% 20.75/10.80 % ...of these trivial : 6938
% 20.75/10.80 % ...subsumed : 2240
% 20.75/10.80 % ...remaining for further processing : 6785
% 20.75/10.80 % Other redundant clauses eliminated : 2
% 20.75/10.80 % Clauses deleted for lack of memory : 0
% 20.75/10.80 % Backward-subsumed : 146
% 20.75/10.80 % Backward-rewritten : 148
% 20.75/10.80 % Generated clauses : 500433
% 20.75/10.80 % ...of the previous two non-redundant : 22618
% 20.75/10.80 % ...aggressively subsumed : 0
% 20.75/10.80 % Contextual simplify-reflections : 0
% 20.75/10.80 % Paramodulations : 500429
% 20.75/10.80 % Factorizations : 2
% 20.75/10.80 % NegExts : 0
% 20.75/10.80 % Equation resolutions : 2
% 20.75/10.80 % Disequality decompositions : 0
% 20.75/10.80 % Total rewrite steps : 808916
% 20.75/10.80 % ...of those cached : 806924
% 20.75/10.80 % Propositional unsat checks : 0
% 20.75/10.80 % Propositional check models : 0
% 20.75/10.80 % Propositional check unsatisfiable : 0
% 20.75/10.80 % Propositional clauses : 0
% 20.75/10.80 % Propositional clauses after purity: 0
% 20.75/10.80 % Propositional unsat core size : 0
% 20.75/10.80 % Propositional preprocessing time : 0.000
% 20.75/10.80 % Propositional encoding time : 0.000
% 20.75/10.80 % Propositional solver time : 0.000
% 20.75/10.80 % Success case prop preproc time : 0.000
% 20.75/10.80 % Success case prop encoding time : 0.000
% 20.75/10.80 % Success case prop solver time : 0.000
% 20.75/10.80 % Current number of processed clauses : 6489
% 20.75/10.80 % Positive orientable unit clauses : 2902
% 20.75/10.80 % Positive unorientable unit clauses: 0
% 20.75/10.80 % Negative unit clauses : 301
% 20.75/10.80 % Non-unit-clauses : 3286
% 20.75/10.80 % Current number of unprocessed clauses: 6880
% 20.75/10.80 % ...number of literals in the above : 23751
% 20.75/10.80 % Current number of archived formulas : 0
% 20.75/10.80 % Current number of archived clauses : 294
% 20.75/10.80 % Clause-clause subsumption calls (NU) : 1221325
% 20.75/10.80 % Rec. Clause-clause subsumption calls : 1139685
% 20.75/10.80 % Non-unit clause-clause subsumptions : 2071
% 20.75/10.80 % Unit Clause-clause subsumption calls : 209092
% 20.75/10.80 % Rewrite failures with RHS unbound : 0
% 20.75/10.80 % BW rewrite match attempts : 34121
% 20.75/10.80 % BW rewrite match successes : 170
% 20.75/10.80 % Condensation attempts : 0
% 20.75/10.80 % Condensation successes : 0
% 20.75/10.80 % Termbank termtop insertions : 4373956
% 20.75/10.80 % Search garbage collected termcells : 1940
% 20.75/10.80
% 20.75/10.80 % -------------------------------------------------
% 20.75/10.80 % User time : 4.968 s
% 20.75/10.80 % System time : 0.059 s
% 20.75/10.80 % Total time : 5.027 s
% 20.75/10.80 % Maximum resident set size: 5108 pages
% 20.75/10.80
% 20.75/10.80 % -------------------------------------------------
% 20.75/10.80 % User time : 5.497 s
% 20.75/10.80 % System time : 0.202 s
% 20.75/10.80 % Total time : 5.699 s
% 20.75/10.80 % Maximum resident set size: 5376 pages
% 20.75/10.80 % E exiting
%------------------------------------------------------------------------------