%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : AGT025+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 : n018.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 11:47:38 AM UTC 2026
% Result : Theorem 2.70s 6.41s
% Output : CNFRefutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 30
% Syntax : Number of formulae : 107 ( 54 unt; 0 def)
% Number of atoms : 257 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 259 ( 109 ~; 98 |; 40 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 30 ( 30 usr; 27 con; 0-2 aty)
% Number of variables : 125 ( 10 sgn 64 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_1,axiom,
! [X1,X2,X3,X4] :
( accept_team(X1,X4,X2,X3)
<=> ( accept_number(X1,X3)
& accept_leader(X1,X4)
& accept_city(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_1) ).
fof(less_entry_point_pos_pos,axiom,
! [X7,X8,X16,X17] :
( ( rdn_positive_less(X16,X17)
& rdn_translate(X8,rdn_pos(X17))
& rdn_translate(X7,rdn_pos(X16)) )
=> less(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
fof(a2_12,axiom,
! [X1] :
( ( accept_population(X1,other,n1)
& accept_population(X1,native,n0)
& accept_population(X1,muslim,n1)
& accept_population(X1,christian,n20)
& accept_population(X1,atheist,n78) )
<=> accept_city(X1,cityb) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_12) ).
fof(event_8,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_8) ).
fof(query_25,conjecture,
? [X7,X8] : ~ accept_population(X7,X8,n25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_25) ).
fof(rdn25,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn25) ).
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(rdn78,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn78) ).
fof(a1_5,axiom,
! [X1,X4,X2] :
( any_agent_in_all_proposed_teams(X1,X4,X2)
=> accept_leader(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_5) ).
fof(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(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(rdn1,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn1) ).
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(a1_6,axiom,
! [X1,X4,X2] :
( the_agent_not_in_any_proposed_teams(X1,X4,X2)
=> ~ ( accept_leader(X1,X4)
& accept_city(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a1_6) ).
fof(event_249,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_249) ).
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_104,axiom,
the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_104) ).
fof(rdn0,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).
fof(rdn_positive_less01,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).
fof(rdn24,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn24) ).
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_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(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_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(event_248,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax',event_248) ).
fof(a2_9,axiom,
! [X1] :
( ( accept_population(X1,other,n0)
& accept_population(X1,native,n0)
& accept_population(X1,muslim,n1)
& accept_population(X1,christian,n24)
& accept_population(X1,atheist,n75) )
<=> accept_city(X1,towna) ),
file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax',a2_9) ).
fof(rdn_digit2,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).
fof(rdn_digit7,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).
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(c_0_30,plain,
! [X45,X46,X47,X48] :
( ( accept_team(X45,X48,X46,X47)
| ~ accept_number(X45,X47)
| ~ accept_leader(X45,X48)
| ~ accept_city(X45,X46) )
& ( ~ accept_team(X45,X48,X46,X47)
| accept_number(X45,X47) )
& ( ~ accept_team(X45,X48,X46,X47)
| accept_leader(X45,X48) )
& ( ~ accept_team(X45,X48,X46,X47)
| accept_city(X45,X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])])]) ).
fof(c_0_31,plain,
! [X29,X30,X31,X32] :
( less(X29,X30)
| ~ rdn_positive_less(X31,X32)
| ~ rdn_translate(X30,rdn_pos(X32))
| ~ rdn_translate(X29,rdn_pos(X31)) ),
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,
! [X78] :
( ( ~ accept_city(X78,cityb)
| accept_population(X78,other,n1) )
& ( ~ accept_city(X78,cityb)
| accept_population(X78,native,n0) )
& ( ~ accept_city(X78,cityb)
| accept_population(X78,muslim,n1) )
& ( ~ accept_city(X78,cityb)
| accept_population(X78,christian,n20) )
& ( ~ accept_city(X78,cityb)
| accept_population(X78,atheist,n78) )
& ( accept_city(X78,cityb)
| ~ accept_population(X78,other,n1)
| ~ accept_population(X78,native,n0)
| ~ accept_population(X78,muslim,n1)
| ~ accept_population(X78,christian,n20)
| ~ accept_population(X78,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_33,plain,
( ~ accept_team(X1,X3,X2,X4)
| accept_city(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(split_conjunct,[status(thm)],[event_8]) ).
fof(c_0_35,negated_conjecture,
~ ? [X7,X8] : ~ accept_population(X7,X8,n25),
inference(assume_negation,[status(cth)],[query_25]) ).
cnf(c_0_36,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_37,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(split_conjunct,[status(thm)],[rdn25]) ).
fof(c_0_38,plain,
! [X65,X66,X67] :
( rdn_positive_less(rdn(rdnn(X65),X66),rdn(rdnn(X67),X66))
| ~ rdn_non_zero(X66)
| ~ rdn_positive_less(rdnn(X65),rdnn(X67)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_low])])]) ).
cnf(c_0_39,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(split_conjunct,[status(thm)],[rdn78]) ).
fof(c_0_40,plain,
! [X74,X75,X76] :
( accept_leader(X74,X75)
| ~ any_agent_in_all_proposed_teams(X74,X75,X76) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_5])])]) ).
fof(c_0_41,plain,
! [X49,X50,X51] :
( ( ~ the_agent_in_all_proposed_teams(X49,X50,X51)
| accept_city(X49,X51) )
& ( ~ the_agent_in_all_proposed_teams(X49,X50,X51)
| accept_leader(X49,X50) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_4])])])]) ).
fof(c_0_42,plain,
! [X20,X21,X22,X23] :
( accept_population(X20,X23,X22)
| ~ less(X22,X21)
| ~ accept_population(X20,X23,X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])])]) ).
cnf(c_0_43,plain,
( ~ accept_city(X1,cityb)
| accept_population(X1,other,n1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_45,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(split_conjunct,[status(thm)],[rdn1]) ).
fof(c_0_46,negated_conjecture,
~ ? [X7,X8] : ~ accept_population(X7,X8,n25),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n2)))
| less(X1,n25) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,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_38]) ).
cnf(c_0_49,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_36,c_0_39]) ).
fof(c_0_50,plain,
! [X58,X59,X60] :
( rdn_positive_less(rdnn(X58),rdnn(X60))
| ~ rdn_positive_less(rdnn(X59),rdnn(X60))
| ~ rdn_positive_less(rdnn(X58),rdnn(X59)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])])]) ).
fof(c_0_51,plain,
! [X52,X53,X54] :
( ~ accept_leader(X52,X53)
| ~ accept_city(X52,X54)
| ~ the_agent_not_in_any_proposed_teams(X52,X53,X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_6])])]) ).
cnf(c_0_52,plain,
( ~ any_agent_in_all_proposed_teams(X1,X2,X3)
| accept_leader(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(split_conjunct,[status(thm)],[event_249]) ).
fof(c_0_54,plain,
! [X24] :
( ( ~ accept_city(X24,townc)
| accept_population(X24,other,n5) )
& ( ~ accept_city(X24,townc)
| accept_population(X24,native,n0) )
& ( ~ accept_city(X24,townc)
| accept_population(X24,muslim,n65) )
& ( ~ accept_city(X24,townc)
| accept_population(X24,christian,n0) )
& ( ~ accept_city(X24,townc)
| accept_population(X24,atheist,n30) )
& ( accept_city(X24,townc)
| ~ accept_population(X24,other,n5)
| ~ accept_population(X24,native,n0)
| ~ accept_population(X24,muslim,n65)
| ~ accept_population(X24,christian,n0)
| ~ accept_population(X24,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_55,plain,
( ~ the_agent_in_all_proposed_teams(X1,X3,X2)
| accept_city(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_56,plain,
the_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryahumanitarianorganization,townc),
inference(split_conjunct,[status(thm)],[event_104]) ).
cnf(c_0_57,plain,
( ~ less(X4,X3)
| ~ accept_population(X1,X2,X3)
| accept_population(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_58,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n1),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_59,plain,
( ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n1))
| less(X1,n1) ),
inference(spm,[status(thm)],[c_0_36,c_0_45]) ).
cnf(c_0_60,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(split_conjunct,[status(thm)],[rdn0]) ).
cnf(c_0_61,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(split_conjunct,[status(thm)],[rdn_positive_less01]) ).
fof(c_0_62,negated_conjecture,
! [X18,X19] : accept_population(X18,X19,n25),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
cnf(c_0_63,plain,
( ~ rdn_translate(X1,rdn_pos(rdn(rdnn(X2),rdnn(n2))))
| ~ rdn_positive_less(rdnn(X2),rdnn(n5))
| ~ rdn_non_zero(rdnn(n2))
| less(X1,n25) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_64,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(split_conjunct,[status(thm)],[rdn24]) ).
cnf(c_0_65,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).
fof(c_0_66,plain,
! [X79] :
( rdn_non_zero(rdnn(X79))
| ~ rdn_non_zero_digit(rdnn(X79)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])])]) ).
cnf(c_0_67,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_49,c_0_48]) ).
cnf(c_0_68,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(split_conjunct,[status(thm)],[rdn75]) ).
cnf(c_0_69,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_50]) ).
cnf(c_0_70,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(split_conjunct,[status(thm)],[rdn_positive_less78]) ).
cnf(c_0_71,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(split_conjunct,[status(thm)],[rdn_positive_less67]) ).
cnf(c_0_72,plain,
( ~ accept_leader(X1,X2)
| ~ accept_city(X1,X3)
| ~ the_agent_not_in_any_proposed_teams(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_73,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(split_conjunct,[status(thm)],[event_248]) ).
cnf(c_0_74,plain,
accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_75,plain,
! [X57] :
( ( ~ accept_city(X57,towna)
| accept_population(X57,other,n0) )
& ( ~ accept_city(X57,towna)
| accept_population(X57,native,n0) )
& ( ~ accept_city(X57,towna)
| accept_population(X57,muslim,n1) )
& ( ~ accept_city(X57,towna)
| accept_population(X57,christian,n24) )
& ( ~ accept_city(X57,towna)
| accept_population(X57,atheist,n75) )
& ( accept_city(X57,towna)
| ~ accept_population(X57,other,n0)
| ~ accept_population(X57,native,n0)
| ~ accept_population(X57,muslim,n1)
| ~ accept_population(X57,christian,n24)
| ~ accept_population(X57,atheist,n75) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_9])])])]) ).
cnf(c_0_76,plain,
( ~ accept_city(X1,townc)
| accept_population(X1,native,n0) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_77,plain,
accept_city(muslimcountrybhumanitarianorganization,townc),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_78,plain,
( ~ accept_city(X1,cityb)
| accept_population(X1,muslim,n1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_79,plain,
( ~ less(X1,n1)
| accept_population(muslimcountrybhumanitarianorganization,other,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_80,plain,
less(n0,n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
cnf(c_0_81,negated_conjecture,
accept_population(X1,X2,n25),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_82,plain,
( ~ rdn_non_zero(rdnn(n2))
| less(n24,n25) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_83,plain,
( ~ rdn_non_zero_digit(rdnn(X1))
| rdn_non_zero(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_84,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(split_conjunct,[status(thm)],[rdn_digit2]) ).
cnf(c_0_85,plain,
( ~ accept_city(X1,cityb)
| accept_population(X1,atheist,n78) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_86,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| ~ rdn_non_zero(rdnn(n7))
| less(n75,n78) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_87,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(split_conjunct,[status(thm)],[rdn_digit7]) ).
cnf(c_0_88,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n7))
| rdn_positive_less(rdnn(X1),rdnn(n8)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_89,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n6))
| rdn_positive_less(rdnn(X1),rdnn(n7)) ),
inference(spm,[status(thm)],[c_0_69,c_0_71]) ).
cnf(c_0_90,plain,
~ accept_city(muslimcountrybhumanitarianorganization,towna),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_91,plain,
( ~ accept_population(X1,other,n0)
| ~ accept_population(X1,native,n0)
| ~ accept_population(X1,muslim,n1)
| ~ accept_population(X1,christian,n24)
| ~ accept_population(X1,atheist,n75)
| accept_city(X1,towna) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_92,plain,
accept_population(muslimcountrybhumanitarianorganization,native,n0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_93,plain,
accept_population(muslimcountrybhumanitarianorganization,muslim,n1),
inference(spm,[status(thm)],[c_0_78,c_0_44]) ).
cnf(c_0_94,plain,
accept_population(muslimcountrybhumanitarianorganization,other,n0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_95,negated_conjecture,
( ~ less(X3,n25)
| accept_population(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_81]) ).
cnf(c_0_96,plain,
less(n24,n25),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).
cnf(c_0_97,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
inference(spm,[status(thm)],[c_0_85,c_0_44]) ).
cnf(c_0_98,plain,
( ~ rdn_positive_less(rdnn(n5),rdnn(n8))
| less(n75,n78) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_83]),c_0_87])]) ).
cnf(c_0_99,plain,
( ~ rdn_positive_less(rdnn(X1),rdnn(n6))
| rdn_positive_less(rdnn(X1),rdnn(n8)) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_100,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(split_conjunct,[status(thm)],[rdn_positive_less56]) ).
cnf(c_0_101,plain,
( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
| ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]),c_0_93]),c_0_94])]) ).
cnf(c_0_102,negated_conjecture,
accept_population(X1,X2,n24),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,plain,
( ~ less(X1,n78)
| accept_population(muslimcountrybhumanitarianorganization,atheist,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_97]) ).
cnf(c_0_104,plain,
less(n75,n78),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]) ).
cnf(c_0_105,plain,
~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]) ).
cnf(c_0_106,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT025+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.61 % Computer : n018.cluster.edu
% 0.13/5.61 % Model : x86_64 x86_64
% 0.13/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.61 % Memory : 8046.5625MB
% 0.13/5.61 % OS : Linux 6.8.0-71-generic
% 0.13/5.61 % CPULimit : 300
% 0.13/5.61 % WCLimit : 300
% 0.13/5.61 % DateTime : Mon Sep 21 12:52:50 UTC 2026
% 0.13/5.61 % CPUTime :
% 0.13/5.61 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.66 Running first-order theorem proving
% 0.13/5.66 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.70/6.41 % Version: 3.5.1
% 2.70/6.41 % Preprocessing class: FSLMSMSLSSSNFFN.
% 2.70/6.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.70/6.41 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 2.70/6.41 % Starting new_bool_3 with 600s (2) cores
% 2.70/6.41 % Starting new_bool_1 with 600s (2) cores
% 2.70/6.41 % Starting sh5l with 300s (1) cores
% 2.70/6.41 % new_bool_1 with pid 1921687 completed with status 9
% 2.70/6.41 % new_bool_3 with pid 1921686 completed with status 9
% 2.70/6.41 % sh5l with pid 1921688 completed with status 0
% 2.70/6.41 % Result found by sh5l
% 2.70/6.41 % Preprocessing class: FSLMSMSLSSSNFFN.
% 2.70/6.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.70/6.41 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 2.70/6.41 % Starting new_bool_3 with 600s (2) cores
% 2.70/6.41 % Starting new_bool_1 with 600s (2) cores
% 2.70/6.41 % Starting sh5l with 300s (1) cores
% 2.70/6.41 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 2.70/6.41 % SinE strategy is gf500_gu_R04_F100_L20000
% 2.70/6.41 % Search class: FGHSF-FSLM21-MFFFFFNN
% 2.70/6.41 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 2.70/6.41 % Starting SubtermCWHack with 28s (1) cores
% 2.70/6.41 % SubtermCWHack with pid 1921693 completed with status 0
% 2.70/6.41 % Result found by SubtermCWHack
% 2.70/6.41 % Preprocessing class: FSLMSMSLSSSNFFN.
% 2.70/6.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.70/6.41 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 2.70/6.41 % Starting new_bool_3 with 600s (2) cores
% 2.70/6.41 % Starting new_bool_1 with 600s (2) cores
% 2.70/6.41 % Starting sh5l with 300s (1) cores
% 2.70/6.41 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 2.70/6.41 % SinE strategy is gf500_gu_R04_F100_L20000
% 2.70/6.41 % Search class: FGHSF-FSLM21-MFFFFFNN
% 2.70/6.41 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 2.70/6.41 % Starting SubtermCWHack with 28s (1) cores
% 2.70/6.41 % Preprocessing time : 0.004 s
% 2.70/6.41
% 2.70/6.41 % Proof found!
% 2.70/6.41 % SZS status Theorem
% 2.70/6.41 % SZS output start CNFRefutation
% See solution above
% 2.70/6.41 % Parsed axioms : 556
% 2.70/6.41 % Removed by relevancy pruning/SinE : 242
% 2.70/6.41 % Initial clauses : 367
% 2.70/6.41 % Removed in clause preprocessing : 0
% 2.70/6.41 % Initial clauses in saturation : 367
% 2.70/6.41 % Processed clauses : 10100
% 2.70/6.41 % ...of these trivial : 3394
% 2.70/6.41 % ...subsumed : 1536
% 2.70/6.41 % ...remaining for further processing : 5170
% 2.70/6.41 % Other redundant clauses eliminated : 2
% 2.70/6.41 % Clauses deleted for lack of memory : 0
% 2.70/6.41 % Backward-subsumed : 251
% 2.70/6.41 % Backward-rewritten : 412
% 2.70/6.41 % Generated clauses : 58681
% 2.70/6.41 % ...of the previous two non-redundant : 14624
% 2.70/6.41 % ...aggressively subsumed : 0
% 2.70/6.41 % Contextual simplify-reflections : 0
% 2.70/6.41 % Paramodulations : 58677
% 2.70/6.41 % Factorizations : 2
% 2.70/6.41 % NegExts : 0
% 2.70/6.41 % Equation resolutions : 2
% 2.70/6.41 % Disequality decompositions : 0
% 2.70/6.41 % Total rewrite steps : 65666
% 2.70/6.41 % ...of those cached : 63694
% 2.70/6.41 % Propositional unsat checks : 0
% 2.70/6.41 % Propositional check models : 0
% 2.70/6.41 % Propositional check unsatisfiable : 0
% 2.70/6.41 % Propositional clauses : 0
% 2.70/6.41 % Propositional clauses after purity: 0
% 2.70/6.41 % Propositional unsat core size : 0
% 2.70/6.41 % Propositional preprocessing time : 0.000
% 2.70/6.41 % Propositional encoding time : 0.000
% 2.70/6.41 % Propositional solver time : 0.000
% 2.70/6.41 % Success case prop preproc time : 0.000
% 2.70/6.41 % Success case prop encoding time : 0.000
% 2.70/6.41 % Success case prop solver time : 0.000
% 2.70/6.41 % Current number of processed clauses : 4505
% 2.70/6.41 % Positive orientable unit clauses : 2847
% 2.70/6.41 % Positive unorientable unit clauses: 0
% 2.70/6.41 % Negative unit clauses : 287
% 2.70/6.41 % Non-unit-clauses : 1371
% 2.70/6.41 % Current number of unprocessed clauses: 1981
% 2.70/6.41 % ...number of literals in the above : 7232
% 2.70/6.41 % Current number of archived formulas : 0
% 2.70/6.41 % Current number of archived clauses : 663
% 2.70/6.41 % Clause-clause subsumption calls (NU) : 295723
% 2.70/6.41 % Rec. Clause-clause subsumption calls : 277821
% 2.70/6.41 % Non-unit clause-clause subsumptions : 1533
% 2.70/6.41 % Unit Clause-clause subsumption calls : 138749
% 2.70/6.41 % Rewrite failures with RHS unbound : 0
% 2.70/6.41 % BW rewrite match attempts : 47639
% 2.70/6.41 % BW rewrite match successes : 413
% 2.70/6.41 % Condensation attempts : 0
% 2.70/6.41 % Condensation successes : 0
% 2.70/6.41 % Termbank termtop insertions : 548414
% 2.70/6.41 % Search garbage collected termcells : 2026
% 2.70/6.41
% 2.70/6.41 % -------------------------------------------------
% 2.70/6.41 % User time : 0.692 s
% 2.70/6.41 % System time : 0.022 s
% 2.70/6.41 % Total time : 0.714 s
% 2.70/6.41 % Maximum resident set size: 5108 pages
% 2.70/6.41
% 2.70/6.41 % -------------------------------------------------
% 2.70/6.41 % User time : 0.763 s
% 2.70/6.41 % System time : 0.095 s
% 2.70/6.41 % Total time : 0.858 s
% 2.70/6.41 % Maximum resident set size: 5376 pages
% 2.70/6.41 % E exiting
%------------------------------------------------------------------------------