%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : AGT006+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:03:46 PM UTC 2026
% Result : Theorem 212.89s 65.99s
% Output : CNFRefutation 213.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 28
% Syntax : Number of formulae : 109 ( 59 unt; 0 def)
% Number of atoms : 282 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 281 ( 108 ~; 106 |; 55 &)
% ( 6 <=>; 6 =>; 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 : 35 ( 35 usr; 32 con; 0-2 aty)
% Number of variables : 118 ( 17 sgn 56 !; 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/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_4) ).
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(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/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).
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/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_9) ).
fof(event_46,axiom,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryacivilorganization,towna),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_46) ).
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/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
fof(rdn_positive_less_multi_digit_high,axiom,
! [X10,X11,X12,X13] :
( rdn_positive_less(X11,X13)
=> rdn_positive_less(rdn(rdnn(X10),X11),rdn(rdnn(X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).
fof(a2_13,axiom,
! [X1] :
( ( accept_population(X1,atheist,n30)
& accept_population(X1,christian,n0)
& accept_population(X1,muslim,n65)
& accept_population(X1,native,n0)
& accept_population(X1,other,n5) )
<=> 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(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(rdn_digit6,axiom,
rdn_non_zero_digit(rdnn(n6)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit6) ).
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/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_7) ).
fof(event_74,axiom,
accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n5),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_74) ).
fof(rdn_digit8,axiom,
rdn_non_zero_digit(rdnn(n8)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit8) ).
fof(a1_3,axiom,
! [X1,X3,X5,X6] :
( ( accept_population(X1,X6,X3)
& less(X5,X3) )
=> accept_population(X1,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_3) ).
fof(rdn75,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn75) ).
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(rdn65,axiom,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn65) ).
fof(rdn85,axiom,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn85) ).
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).
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/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).
fof(event_18,axiom,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_18) ).
fof(rdn7,axiom,
rdn_translate(n7,rdn_pos(rdnn(n7))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn7) ).
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(a2_1,axiom,
! [X1] :
( ( accept_population(X1,atheist,n65)
& accept_population(X1,christian,n20)
& accept_population(X1,muslim,n7)
& accept_population(X1,native,n4)
& accept_population(X1,other,n4) )
<=> accept_city(X1,suffertown) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_1) ).
fof(event_43,axiom,
accept_team(countrybcivilorganization,countrycmedicalorganization,towna,n4),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_43) ).
fof(query_6,conjecture,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_6) ).
fof(c_0_28,plain,
! [X99,X100,X101] :
( ( accept_leader(X99,X100)
| ~ the_agent_in_all_proposed_teams(X99,X100,X101) )
& ( accept_city(X99,X101)
| ~ the_agent_in_all_proposed_teams(X99,X100,X101) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_4])])]) ).
fof(c_0_29,plain,
! [X136] :
( ~ rdn_non_zero_digit(rdnn(X136))
| rdn_non_zero(rdnn(X136)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])]) ).
fof(c_0_30,plain,
! [X88,X89,X90,X91] :
( ( accept_city(X88,X89)
| ~ accept_team(X88,X91,X89,X90) )
& ( accept_leader(X88,X91)
| ~ accept_team(X88,X91,X89,X90) )
& ( accept_number(X88,X90)
| ~ accept_team(X88,X91,X89,X90) )
& ( ~ accept_city(X88,X89)
| ~ accept_leader(X88,X91)
| ~ accept_number(X88,X90)
| accept_team(X88,X91,X89,X90) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])]) ).
fof(c_0_31,plain,
! [X118] :
( ( ~ accept_population(X118,atheist,n75)
| ~ accept_population(X118,christian,n24)
| ~ accept_population(X118,muslim,n1)
| ~ accept_population(X118,native,n0)
| ~ accept_population(X118,other,n0)
| accept_city(X118,towna) )
& ( accept_population(X118,atheist,n75)
| ~ accept_city(X118,towna) )
& ( accept_population(X118,christian,n24)
| ~ accept_city(X118,towna) )
& ( accept_population(X118,muslim,n1)
| ~ accept_city(X118,towna) )
& ( accept_population(X118,native,n0)
| ~ accept_city(X118,towna) )
& ( accept_population(X118,other,n0)
| ~ accept_city(X118,towna) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_9])])]) ).
cnf(c_0_32,plain,
( accept_city(X1,X2)
| ~ the_agent_in_all_proposed_teams(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryacivilorganization,towna),
inference(split_conjunct,[status(thm)],[event_46]) ).
fof(c_0_34,plain,
! [X139,X140,X141,X142] :
( ~ rdn_translate(X139,rdn_pos(X141))
| ~ rdn_translate(X140,rdn_pos(X142))
| ~ rdn_positive_less(X141,X142)
| less(X139,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).
fof(c_0_35,plain,
! [X126,X127,X128,X129] :
( ~ rdn_positive_less(X127,X129)
| rdn_positive_less(rdn(rdnn(X126),X127),rdn(rdnn(X128),X129)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_high])]) ).
fof(c_0_36,plain,
! [X122] :
( ( ~ accept_population(X122,atheist,n30)
| ~ accept_population(X122,christian,n0)
| ~ accept_population(X122,muslim,n65)
| ~ accept_population(X122,native,n0)
| ~ accept_population(X122,other,n5)
| accept_city(X122,townc) )
& ( accept_population(X122,atheist,n30)
| ~ accept_city(X122,townc) )
& ( accept_population(X122,christian,n0)
| ~ accept_city(X122,townc) )
& ( accept_population(X122,muslim,n65)
| ~ accept_city(X122,townc) )
& ( accept_population(X122,native,n0)
| ~ accept_city(X122,townc) )
& ( accept_population(X122,other,n5)
| ~ accept_city(X122,townc) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_13])])]) ).
cnf(c_0_37,plain,
the_agent_in_all_proposed_teams(countrybcivilorganization,countryahumanitarianorganization,townc),
inference(split_conjunct,[status(thm)],[event_80]) ).
fof(c_0_38,plain,
! [X133,X134,X135] :
( ~ rdn_non_zero(X135)
| rdn_positive_less(rdnn(X133),rdn(rdnn(X134),X135)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])]) ).
cnf(c_0_39,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
rdn_non_zero_digit(rdnn(n6)),
inference(split_conjunct,[status(thm)],[rdn_digit6]) ).
fof(c_0_41,plain,
! [X116] :
( ( ~ accept_population(X116,atheist,n12)
| ~ accept_population(X116,christian,n3)
| ~ accept_population(X116,muslim,n0)
| ~ accept_population(X116,native,n85)
| ~ accept_population(X116,other,n0)
| accept_city(X116,coastvillage) )
& ( accept_population(X116,atheist,n12)
| ~ accept_city(X116,coastvillage) )
& ( accept_population(X116,christian,n3)
| ~ accept_city(X116,coastvillage) )
& ( accept_population(X116,muslim,n0)
| ~ accept_city(X116,coastvillage) )
& ( accept_population(X116,native,n85)
| ~ accept_city(X116,coastvillage) )
& ( accept_population(X116,other,n0)
| ~ accept_city(X116,coastvillage) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_7])])]) ).
cnf(c_0_42,plain,
( accept_city(X1,X2)
| ~ accept_team(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,plain,
accept_team(countrybcivilorganization,christiancountrychumanitarianorganization,coastvillage,n5),
inference(split_conjunct,[status(thm)],[event_74]) ).
cnf(c_0_44,plain,
rdn_non_zero_digit(rdnn(n8)),
inference(split_conjunct,[status(thm)],[rdn_digit8]) ).
fof(c_0_45,plain,
! [X95,X96,X97,X98] :
( ~ accept_population(X95,X98,X96)
| ~ less(X97,X96)
| accept_population(X95,X98,X97) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])]) ).
cnf(c_0_46,plain,
( accept_population(X1,atheist,n75)
| ~ accept_city(X1,towna) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,plain,
accept_city(countrybcivilorganization,towna),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_48,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_34]) ).
cnf(c_0_49,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(split_conjunct,[status(thm)],[rdn75]) ).
cnf(c_0_50,plain,
( rdn_positive_less(rdn(rdnn(X3),X1),rdn(rdnn(X4),X2))
| ~ rdn_positive_less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_51,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(split_conjunct,[status(thm)],[rdn_positive_less67]) ).
cnf(c_0_52,plain,
( accept_population(X1,muslim,n65)
| ~ accept_city(X1,townc) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_53,plain,
accept_city(countrybcivilorganization,townc),
inference(spm,[status(thm)],[c_0_32,c_0_37]) ).
cnf(c_0_54,plain,
rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
inference(split_conjunct,[status(thm)],[rdn65]) ).
cnf(c_0_55,plain,
( rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1))
| ~ rdn_non_zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_56,plain,
rdn_non_zero(rdnn(n6)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_57,plain,
( accept_population(X1,native,n85)
| ~ accept_city(X1,coastvillage) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_58,plain,
accept_city(countrybcivilorganization,coastvillage),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_59,plain,
rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
inference(split_conjunct,[status(thm)],[rdn85]) ).
cnf(c_0_60,plain,
rdn_non_zero(rdnn(n8)),
inference(spm,[status(thm)],[c_0_39,c_0_44]) ).
cnf(c_0_61,plain,
( accept_population(X1,other,n5)
| ~ accept_city(X1,townc) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_62,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
cnf(c_0_63,plain,
( accept_population(X1,X2,X4)
| ~ accept_population(X1,X2,X3)
| ~ less(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_64,plain,
accept_population(countrybcivilorganization,atheist,n75),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_65,plain,
( less(X1,n75)
| ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n7)))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_66,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n6)),rdn(rdnn(X2),rdnn(n7))),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_67,plain,
! [X121] :
( ( ~ accept_population(X121,atheist,n78)
| ~ accept_population(X121,christian,n20)
| ~ accept_population(X121,muslim,n1)
| ~ accept_population(X121,native,n0)
| ~ accept_population(X121,other,n1)
| accept_city(X121,cityb) )
& ( accept_population(X121,atheist,n78)
| ~ accept_city(X121,cityb) )
& ( accept_population(X121,christian,n20)
| ~ accept_city(X121,cityb) )
& ( accept_population(X121,muslim,n1)
| ~ accept_city(X121,cityb) )
& ( accept_population(X121,native,n0)
| ~ accept_city(X121,cityb) )
& ( accept_population(X121,other,n1)
| ~ accept_city(X121,cityb) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_12])])]) ).
cnf(c_0_68,plain,
accept_team(countrybcivilorganization,countrybhumanitarianorganization,cityb,n4),
inference(split_conjunct,[status(thm)],[event_18]) ).
cnf(c_0_69,plain,
accept_population(countrybcivilorganization,muslim,n65),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_70,plain,
( less(X1,n65)
| ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n6)))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_54]) ).
cnf(c_0_71,plain,
rdn_translate(n7,rdn_pos(rdnn(n7))),
inference(split_conjunct,[status(thm)],[rdn7]) ).
cnf(c_0_72,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n6))),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_73,plain,
accept_population(countrybcivilorganization,native,n85),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_74,plain,
( less(X1,n85)
| ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n8)))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_59]) ).
cnf(c_0_75,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(split_conjunct,[status(thm)],[rdn4]) ).
cnf(c_0_76,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n8))),
inference(spm,[status(thm)],[c_0_55,c_0_60]) ).
cnf(c_0_77,plain,
accept_population(countrybcivilorganization,other,n5),
inference(spm,[status(thm)],[c_0_61,c_0_53]) ).
cnf(c_0_78,plain,
( less(X1,n5)
| ~ rdn_positive_less(X2,rdnn(n5))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_62]) ).
cnf(c_0_79,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).
fof(c_0_80,plain,
! [X110] :
( ( ~ accept_population(X110,atheist,n65)
| ~ accept_population(X110,christian,n20)
| ~ accept_population(X110,muslim,n7)
| ~ accept_population(X110,native,n4)
| ~ accept_population(X110,other,n4)
| accept_city(X110,suffertown) )
& ( accept_population(X110,atheist,n65)
| ~ accept_city(X110,suffertown) )
& ( accept_population(X110,christian,n20)
| ~ accept_city(X110,suffertown) )
& ( accept_population(X110,muslim,n7)
| ~ accept_city(X110,suffertown) )
& ( accept_population(X110,native,n4)
| ~ accept_city(X110,suffertown) )
& ( accept_population(X110,other,n4)
| ~ accept_city(X110,suffertown) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_1])])]) ).
cnf(c_0_81,plain,
( accept_population(countrybcivilorganization,atheist,X1)
| ~ less(X1,n75) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_82,plain,
less(n65,n75),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_54]),c_0_66])]) ).
cnf(c_0_83,plain,
( accept_population(X1,christian,n20)
| ~ accept_city(X1,cityb) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_84,plain,
accept_city(countrybcivilorganization,cityb),
inference(spm,[status(thm)],[c_0_42,c_0_68]) ).
cnf(c_0_85,plain,
( accept_population(countrybcivilorganization,muslim,X1)
| ~ less(X1,n65) ),
inference(spm,[status(thm)],[c_0_63,c_0_69]) ).
cnf(c_0_86,plain,
less(n7,n65),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_87,plain,
( accept_population(countrybcivilorganization,native,X1)
| ~ less(X1,n85) ),
inference(spm,[status(thm)],[c_0_63,c_0_73]) ).
cnf(c_0_88,plain,
less(n4,n85),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
cnf(c_0_89,plain,
( accept_population(countrybcivilorganization,other,X1)
| ~ less(X1,n5) ),
inference(spm,[status(thm)],[c_0_63,c_0_77]) ).
cnf(c_0_90,plain,
less(n4,n5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_79])]) ).
cnf(c_0_91,plain,
( accept_city(X1,suffertown)
| ~ accept_population(X1,atheist,n65)
| ~ accept_population(X1,christian,n20)
| ~ accept_population(X1,muslim,n7)
| ~ accept_population(X1,native,n4)
| ~ accept_population(X1,other,n4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_92,plain,
accept_population(countrybcivilorganization,atheist,n65),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_93,plain,
accept_population(countrybcivilorganization,christian,n20),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_94,plain,
accept_population(countrybcivilorganization,muslim,n7),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,plain,
accept_population(countrybcivilorganization,native,n4),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_96,plain,
accept_population(countrybcivilorganization,other,n4),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,plain,
( accept_team(X1,X3,X2,X4)
| ~ accept_city(X1,X2)
| ~ accept_leader(X1,X3)
| ~ accept_number(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_98,plain,
accept_city(countrybcivilorganization,suffertown),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96])]) ).
cnf(c_0_99,plain,
( accept_number(X1,X2)
| ~ accept_team(X1,X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_100,plain,
accept_team(countrybcivilorganization,countrycmedicalorganization,towna,n4),
inference(split_conjunct,[status(thm)],[event_43]) ).
cnf(c_0_101,plain,
( accept_team(countrybcivilorganization,X1,suffertown,X2)
| ~ accept_number(countrybcivilorganization,X2)
| ~ accept_leader(countrybcivilorganization,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,plain,
accept_number(countrybcivilorganization,n4),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_103,plain,
( accept_leader(X1,X2)
| ~ accept_team(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_104,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_6])]) ).
cnf(c_0_105,plain,
( accept_team(countrybcivilorganization,X1,suffertown,n4)
| ~ accept_leader(countrybcivilorganization,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,plain,
accept_leader(countrybcivilorganization,countrybhumanitarianorganization),
inference(spm,[status(thm)],[c_0_103,c_0_68]) ).
cnf(c_0_107,negated_conjecture,
~ accept_team(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
inference(split_conjunct,[status(thm)],[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
% 0.00/0.12 % Problem : AGT006+1 : TPTP v9.2.1. Bugfixed v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n023.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 10:08:54 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 212.89/65.99 % Version : CSE_E---1.7
% 212.89/65.99 % Problem : theBenchmark.p
% 212.89/65.99 % SZS status Theorem for theBenchmark.p
% 212.89/65.99 % SZS output start CNFRefutation
% See solution above
% 213.01/66.07 % Total time : 62.905s
%------------------------------------------------------------------------------