TSTP Solution File: AGT025+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : AGT025+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 16:59:22 EDT 2023
% Result : Theorem 5.29s 1.73s
% Output : CNFRefutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 32
% Syntax : Number of formulae : 128 ( 72 unt; 0 def)
% Number of atoms : 256 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 223 ( 95 ~; 88 |; 29 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 27 ( 27 usr; 24 con; 0-2 aty)
% Number of variables : 131 ( 19 sgn; 62 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdn_positive_less_transitivity,axiom,
! [X7,X8,X9] :
( ( rdn_positive_less(rdnn(X7),rdnn(X8))
& rdn_positive_less(rdnn(X8),rdnn(X9)) )
=> rdn_positive_less(rdnn(X7),rdnn(X9)) ),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_positive_less_transitivity) ).
fof(rdn_positive_less12,axiom,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_positive_less12) ).
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/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',less_entry_point_pos_pos) ).
fof(rdn_positive_less23,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_positive_less23) ).
fof(rdn_positive_less01,axiom,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_positive_less01) ).
fof(query_25,conjecture,
? [X7,X8] : ~ accept_population(X7,X8,n25),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',query_25) ).
fof(rdn25,axiom,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn25) ).
fof(rdn_non_zero_by_digit,axiom,
! [X7] :
( rdn_non_zero_digit(rdnn(X7))
=> rdn_non_zero(rdnn(X7)) ),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_non_zero_by_digit) ).
fof(rdn_positive_less34,axiom,
rdn_positive_less(rdnn(n3),rdnn(n4)),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_positive_less34) ).
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/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',a1_3) ).
fof(rdn6,axiom,
rdn_translate(n6,rdn_pos(rdnn(n6))),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn6) ).
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/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_extra_digits_positive_less) ).
fof(rdn_digit2,axiom,
rdn_non_zero_digit(rdnn(n2)),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_digit2) ).
fof(rdn_positive_less45,axiom,
rdn_positive_less(rdnn(n4),rdnn(n5)),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_positive_less45) ).
fof(rdn_positive_less56,axiom,
rdn_positive_less(rdnn(n5),rdnn(n6)),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_positive_less56) ).
fof(rdn_positive_less67,axiom,
rdn_positive_less(rdnn(n6),rdnn(n7)),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_positive_less67) ).
fof(rdn0,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn0) ).
fof(rdn1,axiom,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn1) ).
fof(rdn_positive_less_multi_digit_low,axiom,
! [X10,X14,X12] :
( ( rdn_positive_less(rdnn(X10),rdnn(X12))
& rdn_non_zero(X14) )
=> rdn_positive_less(rdn(rdnn(X10),X14),rdn(rdnn(X12),X14)) ),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_positive_less_multi_digit_low) ).
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/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',a1_1) ).
fof(rdn_positive_less78,axiom,
rdn_positive_less(rdnn(n7),rdnn(n8)),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_positive_less78) ).
fof(rdn24,axiom,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn24) ).
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/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',a2_12) ).
fof(event_8,axiom,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',event_8) ).
fof(rdn78,axiom,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn78) ).
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/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',a2_9) ).
fof(rdn75,axiom,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn75) ).
fof(rdn_digit7,axiom,
rdn_non_zero_digit(rdnn(n7)),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',rdn_digit7) ).
fof(a1_6,axiom,
! [X1,X4,X2] :
( the_agent_not_in_any_proposed_teams(X1,X4,X2)
=> ~ ( accept_city(X1,X2)
& accept_leader(X1,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',a1_6) ).
fof(a1_5,axiom,
! [X1,X4,X2] :
( any_agent_in_all_proposed_teams(X1,X4,X2)
=> accept_leader(X1,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',a1_5) ).
fof(event_249,axiom,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',event_249) ).
fof(event_248,axiom,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
file('/export/starexec/sandbox2/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p',event_248) ).
fof(c_0_32,plain,
! [X58,X59,X60] :
( ~ rdn_positive_less(rdnn(X58),rdnn(X59))
| ~ rdn_positive_less(rdnn(X59),rdnn(X60))
| rdn_positive_less(rdnn(X58),rdnn(X60)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])]) ).
cnf(c_0_33,plain,
( rdn_positive_less(rdnn(X1),rdnn(X3))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_positive_less(rdnn(X2),rdnn(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_34,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(split_conjunct,[status(thm)],[rdn_positive_less12]) ).
fof(c_0_35,plain,
! [X29,X30,X31,X32] :
( ~ rdn_translate(X29,rdn_pos(X31))
| ~ rdn_translate(X30,rdn_pos(X32))
| ~ rdn_positive_less(X31,X32)
| less(X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).
cnf(c_0_36,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).
cnf(c_0_37,plain,
( rdn_positive_less(rdnn(X1),rdnn(n2))
| ~ rdn_positive_less(rdnn(X1),rdnn(n1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(split_conjunct,[status(thm)],[rdn_positive_less01]) ).
fof(c_0_39,negated_conjecture,
~ ? [X7,X8] : ~ accept_population(X7,X8,n25),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query_25])]) ).
cnf(c_0_40,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_35]) ).
cnf(c_0_41,plain,
rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
inference(split_conjunct,[status(thm)],[rdn25]) ).
fof(c_0_42,plain,
! [X79] :
( ~ rdn_non_zero_digit(rdnn(X79))
| rdn_non_zero(rdnn(X79)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])]) ).
cnf(c_0_43,plain,
rdn_positive_less(rdnn(n3),rdnn(n4)),
inference(split_conjunct,[status(thm)],[rdn_positive_less34]) ).
cnf(c_0_44,plain,
( rdn_positive_less(rdnn(X1),rdnn(n3))
| ~ rdn_positive_less(rdnn(X1),rdnn(n2)) ),
inference(spm,[status(thm)],[c_0_33,c_0_36]) ).
cnf(c_0_45,plain,
rdn_positive_less(rdnn(n0),rdnn(n2)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_46,plain,
! [X20,X21,X22,X23] :
( ~ accept_population(X20,X23,X21)
| ~ less(X22,X21)
| accept_population(X20,X23,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_3])]) ).
fof(c_0_47,negated_conjecture,
! [X18,X19] : accept_population(X18,X19,n25),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
cnf(c_0_48,plain,
( less(X1,n25)
| ~ rdn_positive_less(X2,rdn(rdnn(n5),rdnn(n2)))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,plain,
rdn_translate(n6,rdn_pos(rdnn(n6))),
inference(split_conjunct,[status(thm)],[rdn6]) ).
fof(c_0_50,plain,
! [X68,X69,X70] :
( ~ rdn_non_zero(X70)
| rdn_positive_less(rdnn(X68),rdn(rdnn(X69),X70)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])]) ).
cnf(c_0_51,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(split_conjunct,[status(thm)],[rdn_digit2]) ).
cnf(c_0_53,plain,
rdn_positive_less(rdnn(n4),rdnn(n5)),
inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).
cnf(c_0_54,plain,
( rdn_positive_less(rdnn(X1),rdnn(n4))
| ~ rdn_positive_less(rdnn(X1),rdnn(n3)) ),
inference(spm,[status(thm)],[c_0_33,c_0_43]) ).
cnf(c_0_55,plain,
rdn_positive_less(rdnn(n0),rdnn(n3)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_56,plain,
rdn_positive_less(rdnn(n1),rdnn(n3)),
inference(spm,[status(thm)],[c_0_44,c_0_34]) ).
cnf(c_0_57,plain,
( accept_population(X1,X2,X4)
| ~ accept_population(X1,X2,X3)
| ~ less(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,negated_conjecture,
accept_population(X1,X2,n25),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_59,plain,
( less(n6,n25)
| ~ rdn_positive_less(rdnn(n6),rdn(rdnn(n5),rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_60,plain,
( rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1))
| ~ rdn_non_zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,plain,
rdn_non_zero(rdnn(n2)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,plain,
rdn_positive_less(rdnn(n5),rdnn(n6)),
inference(split_conjunct,[status(thm)],[rdn_positive_less56]) ).
cnf(c_0_63,plain,
( rdn_positive_less(rdnn(X1),rdnn(n5))
| ~ rdn_positive_less(rdnn(X1),rdnn(n4)) ),
inference(spm,[status(thm)],[c_0_33,c_0_53]) ).
cnf(c_0_64,plain,
rdn_positive_less(rdnn(n0),rdnn(n4)),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,plain,
rdn_positive_less(rdnn(n1),rdnn(n4)),
inference(spm,[status(thm)],[c_0_54,c_0_56]) ).
cnf(c_0_66,plain,
rdn_positive_less(rdnn(n6),rdnn(n7)),
inference(split_conjunct,[status(thm)],[rdn_positive_less67]) ).
cnf(c_0_67,negated_conjecture,
( accept_population(X1,X2,X3)
| ~ less(X3,n25) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
less(n6,n25),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
cnf(c_0_69,plain,
( less(X1,n6)
| ~ rdn_positive_less(X2,rdnn(n6))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_40,c_0_49]) ).
cnf(c_0_70,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(split_conjunct,[status(thm)],[rdn0]) ).
cnf(c_0_71,plain,
( rdn_positive_less(rdnn(X1),rdnn(n6))
| ~ rdn_positive_less(rdnn(X1),rdnn(n5)) ),
inference(spm,[status(thm)],[c_0_33,c_0_62]) ).
cnf(c_0_72,plain,
rdn_positive_less(rdnn(n0),rdnn(n5)),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_73,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(split_conjunct,[status(thm)],[rdn1]) ).
cnf(c_0_74,plain,
rdn_positive_less(rdnn(n1),rdnn(n5)),
inference(spm,[status(thm)],[c_0_63,c_0_65]) ).
fof(c_0_75,plain,
! [X65,X66,X67] :
( ~ rdn_positive_less(rdnn(X65),rdnn(X67))
| ~ rdn_non_zero(X66)
| rdn_positive_less(rdn(rdnn(X65),X66),rdn(rdnn(X67),X66)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_low])]) ).
fof(c_0_76,plain,
! [X45,X46,X47,X48] :
( ( accept_city(X45,X46)
| ~ accept_team(X45,X48,X46,X47) )
& ( accept_leader(X45,X48)
| ~ accept_team(X45,X48,X46,X47) )
& ( accept_number(X45,X47)
| ~ accept_team(X45,X48,X46,X47) )
& ( ~ accept_city(X45,X46)
| ~ accept_leader(X45,X48)
| ~ accept_number(X45,X47)
| accept_team(X45,X48,X46,X47) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])]) ).
cnf(c_0_77,plain,
rdn_positive_less(rdnn(n7),rdnn(n8)),
inference(split_conjunct,[status(thm)],[rdn_positive_less78]) ).
cnf(c_0_78,plain,
( rdn_positive_less(rdnn(X1),rdnn(n7))
| ~ rdn_positive_less(rdnn(X1),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_33,c_0_66]) ).
cnf(c_0_79,negated_conjecture,
accept_population(X1,X2,n6),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_80,plain,
( less(n0,n6)
| ~ rdn_positive_less(rdnn(n0),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_81,plain,
rdn_positive_less(rdnn(n0),rdnn(n6)),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_82,plain,
( less(n1,n6)
| ~ rdn_positive_less(rdnn(n1),rdnn(n6)) ),
inference(spm,[status(thm)],[c_0_69,c_0_73]) ).
cnf(c_0_83,plain,
rdn_positive_less(rdnn(n1),rdnn(n6)),
inference(spm,[status(thm)],[c_0_71,c_0_74]) ).
cnf(c_0_84,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(split_conjunct,[status(thm)],[rdn24]) ).
cnf(c_0_85,plain,
( rdn_positive_less(rdn(rdnn(X1),X3),rdn(rdnn(X2),X3))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| ~ rdn_non_zero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_86,plain,
! [X78] :
( ( ~ accept_population(X78,atheist,n78)
| ~ accept_population(X78,christian,n20)
| ~ accept_population(X78,muslim,n1)
| ~ accept_population(X78,native,n0)
| ~ accept_population(X78,other,n1)
| accept_city(X78,cityb) )
& ( accept_population(X78,atheist,n78)
| ~ accept_city(X78,cityb) )
& ( accept_population(X78,christian,n20)
| ~ accept_city(X78,cityb) )
& ( accept_population(X78,muslim,n1)
| ~ accept_city(X78,cityb) )
& ( accept_population(X78,native,n0)
| ~ accept_city(X78,cityb) )
& ( accept_population(X78,other,n1)
| ~ accept_city(X78,cityb) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_12])])]) ).
cnf(c_0_87,plain,
( accept_city(X1,X2)
| ~ accept_team(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_88,plain,
accept_team(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4),
inference(split_conjunct,[status(thm)],[event_8]) ).
cnf(c_0_89,plain,
rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
inference(split_conjunct,[status(thm)],[rdn78]) ).
cnf(c_0_90,plain,
( rdn_positive_less(rdnn(X1),rdnn(n8))
| ~ rdn_positive_less(rdnn(X1),rdnn(n7)) ),
inference(spm,[status(thm)],[c_0_33,c_0_77]) ).
cnf(c_0_91,plain,
rdn_positive_less(rdnn(n5),rdnn(n7)),
inference(spm,[status(thm)],[c_0_78,c_0_62]) ).
fof(c_0_92,plain,
! [X57] :
( ( ~ accept_population(X57,atheist,n75)
| ~ accept_population(X57,christian,n24)
| ~ accept_population(X57,muslim,n1)
| ~ accept_population(X57,native,n0)
| ~ accept_population(X57,other,n0)
| accept_city(X57,towna) )
& ( accept_population(X57,atheist,n75)
| ~ accept_city(X57,towna) )
& ( accept_population(X57,christian,n24)
| ~ accept_city(X57,towna) )
& ( accept_population(X57,muslim,n1)
| ~ accept_city(X57,towna) )
& ( accept_population(X57,native,n0)
| ~ accept_city(X57,towna) )
& ( accept_population(X57,other,n0)
| ~ accept_city(X57,towna) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_9])])]) ).
cnf(c_0_93,negated_conjecture,
( accept_population(X1,X2,X3)
| ~ less(X3,n6) ),
inference(spm,[status(thm)],[c_0_57,c_0_79]) ).
cnf(c_0_94,plain,
less(n0,n6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]) ).
cnf(c_0_95,plain,
less(n1,n6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).
cnf(c_0_96,plain,
( less(n24,n25)
| ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_48,c_0_84]) ).
cnf(c_0_97,plain,
( rdn_positive_less(rdn(rdnn(n4),X1),rdn(rdnn(n5),X1))
| ~ rdn_non_zero(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_53]) ).
cnf(c_0_98,plain,
( accept_population(X1,atheist,n78)
| ~ accept_city(X1,cityb) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_99,plain,
accept_city(muslimcountrybhumanitarianorganization,cityb),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_100,plain,
( less(X1,n78)
| ~ rdn_positive_less(X2,rdn(rdnn(n8),rdnn(n7)))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_40,c_0_89]) ).
cnf(c_0_101,plain,
rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
inference(split_conjunct,[status(thm)],[rdn75]) ).
cnf(c_0_102,plain,
rdn_positive_less(rdnn(n5),rdnn(n8)),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_103,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(split_conjunct,[status(thm)],[rdn_digit7]) ).
cnf(c_0_104,plain,
( accept_city(X1,towna)
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_105,negated_conjecture,
accept_population(X1,X2,n0),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_106,negated_conjecture,
accept_population(X1,X2,n1),
inference(spm,[status(thm)],[c_0_93,c_0_95]) ).
cnf(c_0_107,plain,
less(n24,n25),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_61])]) ).
cnf(c_0_108,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n78),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_109,plain,
( less(n75,n78)
| ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_110,plain,
( rdn_positive_less(rdn(rdnn(n5),X1),rdn(rdnn(n8),X1))
| ~ rdn_non_zero(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_102]) ).
cnf(c_0_111,plain,
rdn_non_zero(rdnn(n7)),
inference(spm,[status(thm)],[c_0_51,c_0_103]) ).
cnf(c_0_112,plain,
( accept_city(X1,towna)
| ~ accept_population(X1,atheist,n75)
| ~ accept_population(X1,christian,n24) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105]),c_0_105])]),c_0_106])]) ).
cnf(c_0_113,negated_conjecture,
accept_population(X1,X2,n24),
inference(spm,[status(thm)],[c_0_67,c_0_107]) ).
cnf(c_0_114,plain,
( accept_population(muslimcountrybhumanitarianorganization,atheist,X1)
| ~ less(X1,n78) ),
inference(spm,[status(thm)],[c_0_57,c_0_108]) ).
cnf(c_0_115,plain,
less(n75,n78),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).
fof(c_0_116,plain,
! [X52,X53,X54] :
( ~ the_agent_not_in_any_proposed_teams(X52,X53,X54)
| ~ accept_city(X52,X54)
| ~ accept_leader(X52,X53) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_6])]) ).
cnf(c_0_117,plain,
( accept_city(X1,towna)
| ~ accept_population(X1,atheist,n75) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]) ).
cnf(c_0_118,plain,
accept_population(muslimcountrybhumanitarianorganization,atheist,n75),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
fof(c_0_119,plain,
! [X74,X75,X76] :
( ~ any_agent_in_all_proposed_teams(X74,X75,X76)
| accept_leader(X74,X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_5])]) ).
cnf(c_0_120,plain,
( ~ the_agent_not_in_any_proposed_teams(X1,X2,X3)
| ~ accept_city(X1,X3)
| ~ accept_leader(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_121,plain,
accept_city(muslimcountrybhumanitarianorganization,towna),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,plain,
( accept_leader(X1,X2)
| ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_123,plain,
any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(split_conjunct,[status(thm)],[event_249]) ).
cnf(c_0_124,plain,
( ~ the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,X1,towna)
| ~ accept_leader(muslimcountrybhumanitarianorganization,X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
accept_leader(muslimcountrybhumanitarianorganization,sufferterragovernment),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,plain,
the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,sufferterragovernment,towna),
inference(split_conjunct,[status(thm)],[event_248]) ).
cnf(c_0_127,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : AGT025+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.09/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 22:05:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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/tmp/tmp.7KUwEyqEWs/E---3.1_32416.p
% 5.29/1.73 # Version: 3.1pre001
% 5.29/1.73 # Preprocessing class: FSLMSMSLSSSNFFN.
% 5.29/1.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.29/1.73 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 5.29/1.73 # Starting new_bool_3 with 600s (2) cores
% 5.29/1.73 # Starting new_bool_1 with 600s (2) cores
% 5.29/1.73 # Starting sh5l with 300s (1) cores
% 5.29/1.73 # new_bool_3 with pid 32495 completed with status 8
% 5.29/1.73 # new_bool_1 with pid 32496 completed with status 8
% 5.29/1.73 # sh5l with pid 32497 completed with status 0
% 5.29/1.73 # Result found by sh5l
% 5.29/1.73 # Preprocessing class: FSLMSMSLSSSNFFN.
% 5.29/1.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.29/1.73 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 5.29/1.73 # Starting new_bool_3 with 600s (2) cores
% 5.29/1.73 # Starting new_bool_1 with 600s (2) cores
% 5.29/1.73 # Starting sh5l with 300s (1) cores
% 5.29/1.73 # SinE strategy is gf500_gu_R04_F100_L20000
% 5.29/1.73 # Search class: FGHSF-FSLM21-MFFFFFNN
% 5.29/1.73 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 5.29/1.73 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 5.29/1.73 # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 32504 completed with status 0
% 5.29/1.73 # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 5.29/1.73 # Preprocessing class: FSLMSMSLSSSNFFN.
% 5.29/1.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.29/1.73 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 5.29/1.73 # Starting new_bool_3 with 600s (2) cores
% 5.29/1.73 # Starting new_bool_1 with 600s (2) cores
% 5.29/1.73 # Starting sh5l with 300s (1) cores
% 5.29/1.73 # SinE strategy is gf500_gu_R04_F100_L20000
% 5.29/1.73 # Search class: FGHSF-FSLM21-MFFFFFNN
% 5.29/1.73 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 5.29/1.73 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 5.29/1.73 # Preprocessing time : 0.003 s
% 5.29/1.73 # Presaturation interreduction done
% 5.29/1.73
% 5.29/1.73 # Proof found!
% 5.29/1.73 # SZS status Theorem
% 5.29/1.73 # SZS output start CNFRefutation
% See solution above
% 5.29/1.73 # Parsed axioms : 556
% 5.29/1.73 # Removed by relevancy pruning/SinE : 242
% 5.29/1.73 # Initial clauses : 367
% 5.29/1.73 # Removed in clause preprocessing : 0
% 5.29/1.73 # Initial clauses in saturation : 367
% 5.29/1.73 # Processed clauses : 16679
% 5.29/1.73 # ...of these trivial : 8093
% 5.29/1.73 # ...subsumed : 1098
% 5.29/1.73 # ...remaining for further processing : 7488
% 5.29/1.73 # Other redundant clauses eliminated : 2
% 5.29/1.73 # Clauses deleted for lack of memory : 0
% 5.29/1.73 # Backward-subsumed : 571
% 5.29/1.73 # Backward-rewritten : 472
% 5.29/1.73 # Generated clauses : 117567
% 5.29/1.73 # ...of the previous two non-redundant : 32874
% 5.29/1.73 # ...aggressively subsumed : 0
% 5.29/1.73 # Contextual simplify-reflections : 0
% 5.29/1.73 # Paramodulations : 117563
% 5.29/1.73 # Factorizations : 2
% 5.29/1.73 # NegExts : 0
% 5.29/1.73 # Equation resolutions : 2
% 5.29/1.73 # Total rewrite steps : 123477
% 5.29/1.73 # Propositional unsat checks : 0
% 5.29/1.73 # Propositional check models : 0
% 5.29/1.73 # Propositional check unsatisfiable : 0
% 5.29/1.73 # Propositional clauses : 0
% 5.29/1.73 # Propositional clauses after purity: 0
% 5.29/1.73 # Propositional unsat core size : 0
% 5.29/1.73 # Propositional preprocessing time : 0.000
% 5.29/1.73 # Propositional encoding time : 0.000
% 5.29/1.73 # Propositional solver time : 0.000
% 5.29/1.73 # Success case prop preproc time : 0.000
% 5.29/1.73 # Success case prop encoding time : 0.000
% 5.29/1.73 # Success case prop solver time : 0.000
% 5.29/1.73 # Current number of processed clauses : 6077
% 5.29/1.73 # Positive orientable unit clauses : 3504
% 5.29/1.73 # Positive unorientable unit clauses: 0
% 5.29/1.73 # Negative unit clauses : 674
% 5.29/1.73 # Non-unit-clauses : 1899
% 5.29/1.73 # Current number of unprocessed clauses: 13556
% 5.29/1.73 # ...number of literals in the above : 47881
% 5.29/1.73 # Current number of archived formulas : 0
% 5.29/1.73 # Current number of archived clauses : 1409
% 5.29/1.73 # Clause-clause subsumption calls (NU) : 409001
% 5.29/1.73 # Rec. Clause-clause subsumption calls : 344960
% 5.29/1.73 # Non-unit clause-clause subsumptions : 1340
% 5.29/1.73 # Unit Clause-clause subsumption calls : 315663
% 5.29/1.73 # Rewrite failures with RHS unbound : 0
% 5.29/1.73 # BW rewrite match attempts : 56087
% 5.29/1.73 # BW rewrite match successes : 442
% 5.29/1.73 # Condensation attempts : 0
% 5.29/1.73 # Condensation successes : 0
% 5.29/1.73 # Termbank termtop insertions : 1051301
% 5.29/1.73
% 5.29/1.73 # -------------------------------------------------
% 5.29/1.73 # User time : 1.198 s
% 5.29/1.73 # System time : 0.034 s
% 5.29/1.73 # Total time : 1.231 s
% 5.29/1.73 # Maximum resident set size: 3128 pages
% 5.29/1.73
% 5.29/1.73 # -------------------------------------------------
% 5.29/1.73 # User time : 1.230 s
% 5.29/1.73 # System time : 0.116 s
% 5.29/1.73 # Total time : 1.346 s
% 5.29/1.73 # Maximum resident set size: 2120 pages
% 5.29/1.73 % E---3.1 exiting
% 5.29/1.73 % E---3.1 exiting
%------------------------------------------------------------------------------