%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : AGT007+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 54.64s 16.05s
% Output : CNFRefutation 54.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 31
% Syntax : Number of formulae : 109 ( 61 unt; 0 def)
% Number of atoms : 215 ( 0 equ)
% Maximal formula atoms : 16 ( 1 avg)
% Number of connectives : 191 ( 85 ~; 79 |; 19 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-2 aty)
% Number of variables : 98 ( 3 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
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/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).
fof(a1_3,axiom,
! [X1,X3,X5,X6] :
( ( less(X5,X3)
& accept_population(X1,X6,X3) )
=> accept_population(X1,X6,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_3) ).
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).
fof(rdn_positive_less45,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).
fof(rdn_positive_less34,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).
fof(deduced_44,axiom,
accept_population(countrybcivilorganization,other,n5),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_44) ).
fof(rdn4,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn4) ).
fof(rdn_positive_less23,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
fof(rdn_positive_less12,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).
fof(rdn75,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn75) ).
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/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).
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/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1) ).
fof(query_7,conjecture,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_7) ).
fof(rdn_positive_less01,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).
fof(rdn65,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).
fof(event_204,axiom,
accept_number(countrybcivilorganization,n3),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_204) ).
fof(rdn2,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn2) ).
fof(rdn70,axiom,
rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn70) ).
fof(rdn_non_zero_by_digit,axiom,
! [X7] :
( rdn_non_zero_digit(rdnn(X7))
=> rdn_non_zero(rdnn(X7)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).
fof(deduced_292,axiom,
accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_292) ).
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/sandbox/benchmark/Axioms/AGT001+0.ax',a2_11) ).
fof(deduced_299,axiom,
accept_population(countrybcivilorganization,atheist,n75),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_299) ).
fof(rdn_digit7,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).
fof(rdn8,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn8) ).
fof(deduced_51,axiom,
accept_population(countrybcivilorganization,christian,n20),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_51) ).
fof(deduced_296,axiom,
accept_population(countrybcivilorganization,native,n0),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_296) ).
fof(deduced_45,axiom,
accept_population(countrybcivilorganization,muslim,n65),
file('/export/starexec/sandbox/benchmark/Axioms/AGT001+2.ax',deduced_45) ).
fof(rdn_digit6,axiom,
rdn_non_zero_digit(rdnn(n6)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit6) ).
fof(c_0_31,plain,
! [X49,X50,X51,X52] :
( less(X49,X50)
| ~ rdn_positive_less(X51,X52)
| ~ rdn_translate(X50,rdn_pos(X52))
| ~ rdn_translate(X49,rdn_pos(X51)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])])]) ).
fof(c_0_32,plain,
! [X36,X37,X38] :
( rdn_positive_less(rdnn(X36),rdnn(X38))
| ~ rdn_positive_less(rdnn(X37),rdnn(X38))
| ~ rdn_positive_less(rdnn(X36),rdnn(X37)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])])]) ).
fof(c_0_33,plain,
! [X62,X63,X64,X65] :
( accept_population(X62,X65,X64)
| ~ less(X64,X63)
| ~ accept_population(X62,X65,X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])])]) ).
cnf(c_0_34,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_31]) ).
cnf(c_0_35,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
cnf(c_0_36,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_32]) ).
cnf(c_0_37,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).
cnf(c_0_38,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(split_conjunct,[status(thm)],[rdn_positive_less34]) ).
cnf(c_0_39,plain,
( ~ less(X4,X3)
| ~ accept_population(X1,X2,X3)
| accept_population(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
accept_population(countrybcivilorganization,other,n5),
inference(split_conjunct,[status(thm)],[deduced_44]) ).
cnf(c_0_41,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n5))
| less(X1,n5) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(split_conjunct,[status(thm)],[rdn4]) ).
cnf(c_0_43,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n4))
| rdn_positive_less(rdnn(X1),rdnn(n5)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n3))
| rdn_positive_less(rdnn(X1),rdnn(n4)) ),
inference(spm,[status(thm)],[c_0_36,c_0_38]) ).
cnf(c_0_45,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).
cnf(c_0_46,plain,
( ~ less(X1,n5)
| accept_population(countrybcivilorganization,other,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
less(n4,n5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_37])]) ).
cnf(c_0_48,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n3))
| rdn_positive_less(rdnn(X1),rdnn(n5)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n2))
| rdn_positive_less(rdnn(X1),rdnn(n3)) ),
inference(spm,[status(thm)],[c_0_36,c_0_45]) ).
cnf(c_0_50,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(split_conjunct,[status(thm)],[rdn_positive_less12]) ).
cnf(c_0_51,plain,
accept_population(countrybcivilorganization,other,n4),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n4))
| less(X1,n4) ),
inference(spm,[status(thm)],[c_0_34,c_0_42]) ).
cnf(c_0_53,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
cnf(c_0_54,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(split_conjunct,[status(thm)],[rdn75]) ).
fof(c_0_55,plain,
! [X43,X44,X45] :
( rdn_positive_less(rdn(rdnn(X43),X44),rdn(rdnn(X45),X44))
| ~ rdn_non_zero(X44)
| ~ rdn_positive_less(rdnn(X43),rdnn(X45)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_low])])]) ).
cnf(c_0_56,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n2))
| rdn_positive_less(rdnn(X1),rdnn(n5)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n1))
| rdn_positive_less(rdnn(X1),rdnn(n2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
fof(c_0_58,plain,
! [X18,X19,X20,X21] :
( ( accept_team(X18,X21,X19,X20)
| ~ accept_number(X18,X20)
| ~ accept_leader(X18,X21)
| ~ accept_city(X18,X19) )
& ( ~ accept_team(X18,X21,X19,X20)
| accept_number(X18,X20) )
& ( ~ accept_team(X18,X21,X19,X20)
| accept_leader(X18,X21) )
& ( ~ accept_team(X18,X21,X19,X20)
| accept_city(X18,X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])])]) ).
cnf(c_0_59,plain,
( ~ less(X1,n4)
| accept_population(countrybcivilorganization,other,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_51]) ).
cnf(c_0_60,plain,
less(n3,n4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_38])]) ).
fof(c_0_61,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(assume_negation,[status(cth)],[query_7]) ).
cnf(c_0_62,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n7)))
| less(X1,n75) ),
inference(spm,[status(thm)],[c_0_34,c_0_54]) ).
cnf(c_0_63,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_55]) ).
cnf(c_0_64,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n1))
| rdn_positive_less(rdnn(X1),rdnn(n5)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(split_conjunct,[status(thm)],[rdn_positive_less01]) ).
cnf(c_0_66,plain,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
inference(split_conjunct,[status(thm)],[rdn65]) ).
fof(c_0_67,plain,
! [X46,X47,X48] :
( rdn_positive_less(rdnn(X46),rdn(rdnn(X47),X48))
| ~ rdn_non_zero(X48) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])])]) ).
cnf(c_0_68,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_58]) ).
cnf(c_0_69,plain,
accept_number(countrybcivilorganization,n3),
inference(split_conjunct,[status(thm)],[event_204]) ).
cnf(c_0_70,plain,
accept_population(countrybcivilorganization,other,n3),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_71,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n3))
| less(X1,n3) ),
inference(spm,[status(thm)],[c_0_34,c_0_53]) ).
cnf(c_0_72,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdn2]) ).
fof(c_0_73,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
cnf(c_0_74,plain,
( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),rdnn(n7))))
| ~ rdn_positive_less(rdnn(X2),rdnn(n5))
| ~ rdn_non_zero(rdnn(n7))
| less(X1,n75) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_75,plain,
rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
inference(split_conjunct,[status(thm)],[rdn70]) ).
cnf(c_0_76,plain,
rdn_positive_less(rdnn(n0),rdnn(n5)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_77,plain,
! [X35] :
( rdn_non_zero(rdnn(X35))
| ~ rdn_non_zero_digit(rdnn(X35)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])])]) ).
cnf(c_0_78,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_34,c_0_66]) ).
cnf(c_0_79,plain,
( ~ rdn_non_zero(X1)
| rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_80,plain,
( ~ accept_city(countrybcivilorganization,X2)
| ~ accept_leader(countrybcivilorganization,X1)
| accept_team(countrybcivilorganization,X1,X2,n3) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_81,plain,
accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
inference(split_conjunct,[status(thm)],[deduced_292]) ).
fof(c_0_82,plain,
! [X22] :
( ( ~ accept_city(X22,townb)
| accept_population(X22,other,n2) )
& ( ~ accept_city(X22,townb)
| accept_population(X22,native,n0) )
& ( ~ accept_city(X22,townb)
| accept_population(X22,muslim,n8) )
& ( ~ accept_city(X22,townb)
| accept_population(X22,christian,n20) )
& ( ~ accept_city(X22,townb)
| accept_population(X22,atheist,n70) )
& ( accept_city(X22,townb)
| ~ accept_population(X22,other,n2)
| ~ accept_population(X22,native,n0)
| ~ accept_population(X22,muslim,n8)
| ~ accept_population(X22,christian,n20)
| ~ accept_population(X22,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_83,plain,
( ~ less(X1,n3)
| accept_population(countrybcivilorganization,other,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_70]) ).
cnf(c_0_84,plain,
less(n2,n3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_45])]) ).
fof(c_0_85,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(fof_nnf,[status(thm)],[c_0_73]) ).
cnf(c_0_86,plain,
accept_population(countrybcivilorganization,atheist,n75),
inference(split_conjunct,[status(thm)],[deduced_299]) ).
cnf(c_0_87,plain,
( ~ rdn_non_zero(rdnn(n7))
| less(n70,n75) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
cnf(c_0_88,plain,
( ~ rdn_non_zero_digit(rdnn(X1))
| rdn_non_zero(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(split_conjunct,[status(thm)],[rdn_digit7]) ).
cnf(c_0_90,plain,
( ~ rdn_translate(X1,rdn_pos(rdnn(X2)))
| ~ rdn_non_zero(rdnn(n6))
| less(X1,n65) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_91,plain,
rdn_translate(n8,rdn_pos(rdnn(n8))),
inference(split_conjunct,[status(thm)],[rdn8]) ).
cnf(c_0_92,plain,
( ~ accept_city(countrybcivilorganization,X1)
| accept_team(countrybcivilorganization,countrybhumanitarianorganization,X1,n3) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_93,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_82]) ).
cnf(c_0_94,plain,
accept_population(countrybcivilorganization,christian,n20),
inference(split_conjunct,[status(thm)],[deduced_51]) ).
cnf(c_0_95,plain,
accept_population(countrybcivilorganization,native,n0),
inference(split_conjunct,[status(thm)],[deduced_296]) ).
cnf(c_0_96,plain,
accept_population(countrybcivilorganization,other,n2),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_97,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,townb,n3),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_98,plain,
( ~ less(X1,n75)
| accept_population(countrybcivilorganization,atheist,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_86]) ).
cnf(c_0_99,plain,
less(n70,n75),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
cnf(c_0_100,plain,
accept_population(countrybcivilorganization,muslim,n65),
inference(split_conjunct,[status(thm)],[deduced_45]) ).
cnf(c_0_101,plain,
( ~ rdn_non_zero(rdnn(n6))
| less(n8,n65) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_102,plain,
rdn_non_zero_digit(rdnn(n6)),
inference(split_conjunct,[status(thm)],[rdn_digit6]) ).
cnf(c_0_103,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_92,c_0_93]),c_0_94]),c_0_95]),c_0_96])]),c_0_97]) ).
cnf(c_0_104,plain,
accept_population(countrybcivilorganization,atheist,n70),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,plain,
( ~ less(X1,n65)
| accept_population(countrybcivilorganization,muslim,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_100]) ).
cnf(c_0_106,plain,
less(n8,n65),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_88]),c_0_102])]) ).
cnf(c_0_107,plain,
~ accept_population(countrybcivilorganization,muslim,n8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104])]) ).
cnf(c_0_108,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT007+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 12:53:09 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 54.64/16.05 % Version: 3.5.1
% 54.64/16.05 % Preprocessing class: FSLMSMSLSSSNFFN.
% 54.64/16.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.64/16.05 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 54.64/16.05 % Starting new_bool_3 with 600s (2) cores
% 54.64/16.05 % Starting new_bool_1 with 600s (2) cores
% 54.64/16.05 % Starting sh5l with 300s (1) cores
% 54.64/16.05 % new_bool_1 with pid 2451393 completed with status 9
% 54.64/16.05 % new_bool_3 with pid 2451392 completed with status 9
% 54.64/16.05 % sh5l with pid 2451394 completed with status 0
% 54.64/16.05 % Result found by sh5l
% 54.64/16.05 % Preprocessing class: FSLMSMSLSSSNFFN.
% 54.64/16.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.64/16.05 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 54.64/16.05 % Starting new_bool_3 with 600s (2) cores
% 54.64/16.05 % Starting new_bool_1 with 600s (2) cores
% 54.64/16.05 % Starting sh5l with 300s (1) cores
% 54.64/16.05 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 54.64/16.05 % SinE strategy is gf500_gu_R04_F100_L20000
% 54.64/16.05 % Search class: FGHSF-FSLM21-MFFFFFNN
% 54.64/16.05 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 54.64/16.05 % Starting SubtermCWHack with 28s (1) cores
% 54.64/16.05 % SubtermCWHack with pid 2451399 completed with status 0
% 54.64/16.05 % Result found by SubtermCWHack
% 54.64/16.05 % Preprocessing class: FSLMSMSLSSSNFFN.
% 54.64/16.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.64/16.05 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 54.64/16.05 % Starting new_bool_3 with 600s (2) cores
% 54.64/16.05 % Starting new_bool_1 with 600s (2) cores
% 54.64/16.05 % Starting sh5l with 300s (1) cores
% 54.64/16.05 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 54.64/16.05 % SinE strategy is gf500_gu_R04_F100_L20000
% 54.64/16.05 % Search class: FGHSF-FSLM21-MFFFFFNN
% 54.64/16.05 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 54.64/16.05 % Starting SubtermCWHack with 28s (1) cores
% 54.64/16.05 % Preprocessing time : 0.009 s
% 54.64/16.05
% 54.64/16.05 % Proof found!
% 54.64/16.05 % SZS status Theorem
% 54.64/16.05 % SZS output start CNFRefutation
% See solution above
% 54.64/16.05 % Parsed axioms : 923
% 54.64/16.05 % Removed by relevancy pruning/SinE : 246
% 54.64/16.05 % Initial clauses : 720
% 54.64/16.05 % Removed in clause preprocessing : 0
% 54.64/16.05 % Initial clauses in saturation : 720
% 54.64/16.05 % Processed clauses : 29064
% 54.64/16.05 % ...of these trivial : 6664
% 54.64/16.05 % ...subsumed : 8643
% 54.64/16.05 % ...remaining for further processing : 13757
% 54.64/16.05 % Other redundant clauses eliminated : 2
% 54.64/16.05 % Clauses deleted for lack of memory : 0
% 54.64/16.05 % Backward-subsumed : 612
% 54.64/16.05 % Backward-rewritten : 6150
% 54.64/16.05 % Generated clauses : 1177948
% 54.64/16.05 % ...of the previous two non-redundant : 111807
% 54.64/16.05 % ...aggressively subsumed : 0
% 54.64/16.05 % Contextual simplify-reflections : 0
% 54.64/16.05 % Paramodulations : 1177944
% 54.64/16.05 % Factorizations : 2
% 54.64/16.05 % NegExts : 0
% 54.64/16.05 % Equation resolutions : 2
% 54.64/16.05 % Disequality decompositions : 0
% 54.64/16.05 % Total rewrite steps : 1480150
% 54.64/16.05 % ...of those cached : 1477128
% 54.64/16.05 % Propositional unsat checks : 0
% 54.64/16.05 % Propositional check models : 0
% 54.64/16.05 % Propositional check unsatisfiable : 0
% 54.64/16.05 % Propositional clauses : 0
% 54.64/16.05 % Propositional clauses after purity: 0
% 54.64/16.05 % Propositional unsat core size : 0
% 54.64/16.05 % Propositional preprocessing time : 0.000
% 54.64/16.05 % Propositional encoding time : 0.000
% 54.64/16.05 % Propositional solver time : 0.000
% 54.64/16.05 % Success case prop preproc time : 0.000
% 54.64/16.05 % Success case prop encoding time : 0.000
% 54.64/16.05 % Success case prop solver time : 0.000
% 54.64/16.05 % Current number of processed clauses : 6993
% 54.64/16.05 % Positive orientable unit clauses : 3521
% 54.64/16.05 % Positive unorientable unit clauses: 0
% 54.64/16.05 % Negative unit clauses : 382
% 54.64/16.05 % Non-unit-clauses : 3090
% 54.64/16.05 % Current number of unprocessed clauses: 81528
% 54.64/16.05 % ...number of literals in the above : 330555
% 54.64/16.05 % Current number of archived formulas : 0
% 54.64/16.05 % Current number of archived clauses : 6762
% 54.64/16.05 % Clause-clause subsumption calls (NU) : 3015990
% 54.64/16.05 % Rec. Clause-clause subsumption calls : 1300102
% 54.64/16.05 % Non-unit clause-clause subsumptions : 8536
% 54.64/16.05 % Unit Clause-clause subsumption calls : 618740
% 54.64/16.05 % Rewrite failures with RHS unbound : 0
% 54.64/16.05 % BW rewrite match attempts : 52199
% 54.64/16.05 % BW rewrite match successes : 563
% 54.64/16.05 % Condensation attempts : 0
% 54.64/16.05 % Condensation successes : 0
% 54.64/16.05 % Termbank termtop insertions : 11961538
% 54.64/16.05 % Search garbage collected termcells : 1913
% 54.64/16.05
% 54.64/16.05 % -------------------------------------------------
% 54.64/16.05 % User time : 15.328 s
% 54.64/16.05 % System time : 0.130 s
% 54.64/16.05 % Total time : 15.458 s
% 54.64/16.05 % Maximum resident set size: 5528 pages
% 54.64/16.05
% 54.64/16.05 % -------------------------------------------------
% 54.64/16.05 % User time : 22.834 s
% 54.64/16.05 % System time : 0.703 s
% 54.64/16.05 % Total time : 23.537 s
% 54.64/16.05 % Maximum resident set size: 5120 pages
% 54.64/16.05 % E exiting
%------------------------------------------------------------------------------