%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : AGT006+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 : Sun Sep 27 06:45:35 AM UTC 2026
% Result : Theorem 93.21s 32.33s
% Output : CNFRefutation 93.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 30
% Syntax : Number of formulae : 108 ( 60 unt; 0 def)
% Number of atoms : 198 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 174 ( 84 ~; 72 |; 10 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-2 aty)
% Number of variables : 82 ( 9 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_1,axiom,
! [X0,X1,X2,X3] :
( 'accept$uteam'(X0,X3,X1,X2)
<=> ( 'accept$unumber'(X0,X2)
& 'accept$uleader'(X0,X3)
& 'accept$ucity'(X0,X1) ) ) ).
fof(a1_3,axiom,
! [X0,X1,X2,X3] :
( ( less(X2,X1)
& 'accept$upopulation'(X0,X3,X1) )
=> 'accept$upopulation'(X0,X3,X2) ) ).
fof(a2_1,axiom,
! [X0] :
( ( 'accept$upopulation'(X0,other,n4)
& 'accept$upopulation'(X0,native,n4)
& 'accept$upopulation'(X0,muslim,n7)
& 'accept$upopulation'(X0,christian,n20)
& 'accept$upopulation'(X0,atheist,n65) )
<=> 'accept$ucity'(X0,suffertown) ) ).
fof(deduced_38,axiom,
'accept$upopulation'(countrybcivilorganization,native,n85) ).
fof(deduced_44,axiom,
'accept$upopulation'(countrybcivilorganization,other,n5) ).
fof(deduced_45,axiom,
'accept$upopulation'(countrybcivilorganization,muslim,n65) ).
fof(deduced_51,axiom,
'accept$upopulation'(countrybcivilorganization,christian,n20) ).
fof(deduced_52,axiom,
'accept$upopulation'(countrybcivilorganization,atheist,n78) ).
fof(deduced_292,axiom,
'accept$uleader'(countrybcivilorganization,countrybhumanitarianorganization) ).
fof(deduced_327,axiom,
'accept$unumber'(countrybcivilorganization,n4) ).
fof(rdn4,axiom,
'rdn$utranslate'(n4,'rdn$upos'(rdnn(n4))) ).
fof(rdn5,axiom,
'rdn$utranslate'(n5,'rdn$upos'(rdnn(n5))) ).
fof(rdn7,axiom,
'rdn$utranslate'(n7,'rdn$upos'(rdnn(n7))) ).
fof(rdn9,axiom,
'rdn$utranslate'(n9,'rdn$upos'(rdnn(n9))) ).
fof(rdn65,axiom,
'rdn$utranslate'(n65,'rdn$upos'(rdn(rdnn(n5),rdnn(n6)))) ).
fof(rdn78,axiom,
'rdn$utranslate'(n78,'rdn$upos'(rdn(rdnn(n8),rdnn(n7)))) ).
fof(rdn85,axiom,
'rdn$utranslate'(n85,'rdn$upos'(rdn(rdnn(n5),rdnn(n8)))) ).
fof(rdn_digit6,axiom,
'rdn$unon$uzero$udigit'(rdnn(n6)) ).
fof(rdn_digit8,axiom,
'rdn$unon$uzero$udigit'(rdnn(n8)) ).
fof(rdn_positive_less45,axiom,
'rdn$upositive$uless'(rdnn(n4),rdnn(n5)) ).
fof(rdn_positive_less56,axiom,
'rdn$upositive$uless'(rdnn(n5),rdnn(n6)) ).
fof(rdn_positive_less67,axiom,
'rdn$upositive$uless'(rdnn(n6),rdnn(n7)) ).
fof(rdn_positive_less78,axiom,
'rdn$upositive$uless'(rdnn(n7),rdnn(n8)) ).
fof(rdn_positive_less89,axiom,
'rdn$upositive$uless'(rdnn(n8),rdnn(n9)) ).
fof(rdn_positive_less_transitivity,axiom,
! [X0,X1,X2] :
( ( 'rdn$upositive$uless'(rdnn(X1),rdnn(X2))
& 'rdn$upositive$uless'(rdnn(X0),rdnn(X1)) )
=> 'rdn$upositive$uless'(rdnn(X0),rdnn(X2)) ) ).
fof(rdn_positive_less_multi_digit_high,axiom,
! [X0,X1,X2,X3] :
( 'rdn$upositive$uless'(X1,X3)
=> 'rdn$upositive$uless'(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3)) ) ).
fof(rdn_extra_digits_positive_less,axiom,
! [X0,X1,X2] :
( 'rdn$unon$uzero'(X2)
=> 'rdn$upositive$uless'(rdnn(X0),rdn(rdnn(X1),X2)) ) ).
fof(rdn_non_zero_by_digit,axiom,
! [X0] :
( 'rdn$unon$uzero$udigit'(rdnn(X0))
=> 'rdn$unon$uzero'(rdnn(X0)) ) ).
fof(less_entry_point_pos_pos,axiom,
! [X0,X1,X2,X3] :
( ( 'rdn$upositive$uless'(X2,X3)
& 'rdn$utranslate'(X1,'rdn$upos'(X3))
& 'rdn$utranslate'(X0,'rdn$upos'(X2)) )
=> less(X0,X1) ) ).
fof(query_6,conjecture,
'accept$uteam'(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4) ).
fof(negated_conjecture,negated_conjecture,
~ 'accept$uteam'(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
inference(negate_conjecture,[status(cth)],[query_6]) ).
cnf(c3,plain,
( ~ 'accept$ucity'(X0,X2)
| ~ 'accept$unumber'(X0,X3)
| ~ 'accept$uleader'(X0,X1)
| 'accept$uteam'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[a1_1]) ).
cnf(c5,plain,
( 'accept$upopulation'(X2,X3,X0)
| ~ 'accept$upopulation'(X2,X3,X1)
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[a1_3]) ).
cnf(c9,plain,
( ~ 'accept$upopulation'(X0,other,n4)
| ~ 'accept$upopulation'(X0,atheist,n65)
| ~ 'accept$upopulation'(X0,native,n4)
| ~ 'accept$upopulation'(X0,christian,n20)
| 'accept$ucity'(X0,suffertown)
| ~ 'accept$upopulation'(X0,muslim,n7) ),
inference(clausification,[status(esa)],[a2_1]) ).
cnf(c327,plain,
'accept$upopulation'(countrybcivilorganization,native,n85),
inference(clausification,[status(esa)],[deduced_38]) ).
cnf(c333,plain,
'accept$upopulation'(countrybcivilorganization,other,n5),
inference(clausification,[status(esa)],[deduced_44]) ).
cnf(c334,plain,
'accept$upopulation'(countrybcivilorganization,muslim,n65),
inference(clausification,[status(esa)],[deduced_45]) ).
cnf(c340,plain,
'accept$upopulation'(countrybcivilorganization,christian,n20),
inference(clausification,[status(esa)],[deduced_51]) ).
cnf(c341,plain,
'accept$upopulation'(countrybcivilorganization,atheist,n78),
inference(clausification,[status(esa)],[deduced_52]) ).
cnf(c581,plain,
'accept$uleader'(countrybcivilorganization,countrybhumanitarianorganization),
inference(clausification,[status(esa)],[deduced_292]) ).
cnf(c616,plain,
'accept$unumber'(countrybcivilorganization,n4),
inference(clausification,[status(esa)],[deduced_327]) ).
cnf(c661,plain,
'rdn$utranslate'(n4,'rdn$upos'(rdnn(n4))),
inference(clausification,[status(esa)],[rdn4]) ).
cnf(c662,plain,
'rdn$utranslate'(n5,'rdn$upos'(rdnn(n5))),
inference(clausification,[status(esa)],[rdn5]) ).
cnf(c664,plain,
'rdn$utranslate'(n7,'rdn$upos'(rdnn(n7))),
inference(clausification,[status(esa)],[rdn7]) ).
cnf(c666,plain,
'rdn$utranslate'(n9,'rdn$upos'(rdnn(n9))),
inference(clausification,[status(esa)],[rdn9]) ).
cnf(c671,plain,
'rdn$utranslate'(n65,'rdn$upos'(rdn(rdnn(n5),rdnn(n6)))),
inference(clausification,[status(esa)],[rdn65]) ).
cnf(c673,plain,
'rdn$utranslate'(n78,'rdn$upos'(rdn(rdnn(n8),rdnn(n7)))),
inference(clausification,[status(esa)],[rdn78]) ).
cnf(c674,plain,
'rdn$utranslate'(n85,'rdn$upos'(rdn(rdnn(n5),rdnn(n8)))),
inference(clausification,[status(esa)],[rdn85]) ).
cnf(c680,plain,
'rdn$unon$uzero$udigit'(rdnn(n6)),
inference(clausification,[status(esa)],[rdn_digit6]) ).
cnf(c682,plain,
'rdn$unon$uzero$udigit'(rdnn(n8)),
inference(clausification,[status(esa)],[rdn_digit8]) ).
cnf(c688,plain,
'rdn$upositive$uless'(rdnn(n4),rdnn(n5)),
inference(clausification,[status(esa)],[rdn_positive_less45]) ).
cnf(c689,plain,
'rdn$upositive$uless'(rdnn(n5),rdnn(n6)),
inference(clausification,[status(esa)],[rdn_positive_less56]) ).
cnf(c690,plain,
'rdn$upositive$uless'(rdnn(n6),rdnn(n7)),
inference(clausification,[status(esa)],[rdn_positive_less67]) ).
cnf(c691,plain,
'rdn$upositive$uless'(rdnn(n7),rdnn(n8)),
inference(clausification,[status(esa)],[rdn_positive_less78]) ).
cnf(c692,plain,
'rdn$upositive$uless'(rdnn(n8),rdnn(n9)),
inference(clausification,[status(esa)],[rdn_positive_less89]) ).
cnf(c693,plain,
( 'rdn$upositive$uless'(rdnn(X2),rdnn(X1))
| ~ 'rdn$upositive$uless'(rdnn(X2),rdnn(X0))
| ~ 'rdn$upositive$uless'(rdnn(X0),rdnn(X1)) ),
inference(clausification,[status(esa)],[rdn_positive_less_transitivity]) ).
cnf(c694,plain,
( 'rdn$upositive$uless'(rdn(rdnn(X2),X0),rdn(rdnn(X3),X1))
| ~ 'rdn$upositive$uless'(X0,X1) ),
inference(clausification,[status(esa)],[rdn_positive_less_multi_digit_high]) ).
cnf(c696,plain,
( 'rdn$upositive$uless'(rdnn(X1),rdn(rdnn(X2),X0))
| ~ 'rdn$unon$uzero'(X0) ),
inference(clausification,[status(esa)],[rdn_extra_digits_positive_less]) ).
cnf(c697,plain,
( 'rdn$unon$uzero'(rdnn(X0))
| ~ 'rdn$unon$uzero$udigit'(rdnn(X0)) ),
inference(clausification,[status(esa)],[rdn_non_zero_by_digit]) ).
cnf(c699,plain,
( less(X3,X0)
| ~ 'rdn$utranslate'(X3,'rdn$upos'(X2))
| ~ 'rdn$upositive$uless'(X2,X1)
| ~ 'rdn$utranslate'(X0,'rdn$upos'(X1)) ),
inference(clausification,[status(esa)],[less_entry_point_pos_pos]) ).
cnf(c709,plain,
~ 'accept$uteam'(countrybcivilorganization,countrybhumanitarianorganization,suffertown,n4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'accept$upopulation'(countrybcivilorganization,other,X0)
| ~ less(X0,n5) ),
inference(resolution,[status(thm)],[c333,c5]) ).
cnf(d1,plain,
( 'accept$upopulation'(countrybcivilorganization,native,X0)
| ~ less(X0,n85) ),
inference(resolution,[status(thm)],[c327,c5]) ).
cnf(d2,plain,
( 'accept$upopulation'(countrybcivilorganization,native,X1)
| ~ less(X1,X0)
| ~ less(X0,n85) ),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
( ~ 'rdn$upositive$uless'(X1,rdn(rdnn(n5),rdnn(n8)))
| ~ 'rdn$utranslate'(X0,'rdn$upos'(X1))
| less(X0,n85) ),
inference(resolution,[status(thm)],[c699,c674]) ).
cnf(d4,plain,
( ~ 'rdn$unon$uzero'(rdnn(n8))
| ~ 'rdn$utranslate'(X0,'rdn$upos'(rdnn(X1)))
| less(X0,n85) ),
inference(resolution,[status(thm)],[d3,c696]) ).
cnf(d5,plain,
'rdn$unon$uzero'(rdnn(n8)),
inference(resolution,[status(thm)],[c697,c682]) ).
cnf(d6,plain,
( ~ 'rdn$utranslate'(X0,'rdn$upos'(rdnn(X1)))
| less(X0,n85) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
less(n9,n85),
inference(resolution,[status(thm)],[d6,c666]) ).
cnf(d8,plain,
( 'accept$upopulation'(countrybcivilorganization,native,X0)
| ~ less(X0,n9) ),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
( 'accept$upopulation'(countrybcivilorganization,muslim,X0)
| ~ less(X0,n65) ),
inference(resolution,[status(thm)],[c334,c5]) ).
cnf(d10,plain,
( 'accept$upopulation'(countrybcivilorganization,atheist,X0)
| ~ less(X0,n78) ),
inference(resolution,[status(thm)],[c341,c5]) ).
cnf(d11,plain,
( ~ 'accept$upopulation'(countrybcivilorganization,christian,n20)
| ~ 'accept$upopulation'(countrybcivilorganization,muslim,n7)
| ~ 'accept$upopulation'(countrybcivilorganization,native,n4)
| ~ 'accept$upopulation'(countrybcivilorganization,other,n4)
| 'accept$ucity'(countrybcivilorganization,suffertown)
| ~ less(n65,n78) ),
inference(resolution,[status(thm)],[d10,c9]) ).
cnf(d12,plain,
( ~ 'accept$upopulation'(countrybcivilorganization,muslim,n7)
| ~ 'accept$upopulation'(countrybcivilorganization,native,n4)
| ~ 'accept$upopulation'(countrybcivilorganization,other,n4)
| ~ less(n65,n78)
| 'accept$ucity'(countrybcivilorganization,suffertown) ),
inference(resolution,[status(thm)],[c340,d11]) ).
cnf(d13,plain,
( ~ 'accept$uleader'(countrybcivilorganization,countrybhumanitarianorganization)
| ~ 'accept$unumber'(countrybcivilorganization,n4)
| ~ 'accept$ucity'(countrybcivilorganization,suffertown) ),
inference(resolution,[status(thm)],[c709,c3]) ).
cnf(d14,plain,
( ~ 'accept$unumber'(countrybcivilorganization,n4)
| ~ 'accept$ucity'(countrybcivilorganization,suffertown) ),
inference(resolution,[status(thm)],[c581,d13]) ).
cnf(d15,plain,
~ 'accept$ucity'(countrybcivilorganization,suffertown),
inference(resolution,[status(thm)],[c616,d14]) ).
cnf(d16,plain,
( ~ 'accept$upopulation'(countrybcivilorganization,muslim,n7)
| ~ 'accept$upopulation'(countrybcivilorganization,native,n4)
| ~ 'accept$upopulation'(countrybcivilorganization,other,n4)
| ~ less(n65,n78) ),
inference(resolution,[status(thm)],[d15,d12]) ).
cnf(d17,plain,
( ~ less(n7,n65)
| ~ 'accept$upopulation'(countrybcivilorganization,native,n4)
| ~ 'accept$upopulation'(countrybcivilorganization,other,n4)
| ~ less(n65,n78) ),
inference(resolution,[status(thm)],[d16,d9]) ).
cnf(d18,plain,
( ~ 'rdn$upositive$uless'(X1,rdn(rdnn(n5),rdnn(n6)))
| ~ 'rdn$utranslate'(X0,'rdn$upos'(X1))
| less(X0,n65) ),
inference(resolution,[status(thm)],[c699,c671]) ).
cnf(d19,plain,
( ~ 'rdn$unon$uzero'(rdnn(n6))
| ~ 'rdn$utranslate'(X0,'rdn$upos'(rdnn(X1)))
| less(X0,n65) ),
inference(resolution,[status(thm)],[d18,c696]) ).
cnf(d20,plain,
'rdn$unon$uzero'(rdnn(n6)),
inference(resolution,[status(thm)],[c697,c680]) ).
cnf(d21,plain,
( ~ 'rdn$utranslate'(X0,'rdn$upos'(rdnn(X1)))
| less(X0,n65) ),
inference(resolution,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
less(n7,n65),
inference(resolution,[status(thm)],[d21,c664]) ).
cnf(d23,plain,
( ~ 'accept$upopulation'(countrybcivilorganization,native,n4)
| ~ 'accept$upopulation'(countrybcivilorganization,other,n4)
| ~ less(n65,n78) ),
inference(resolution,[status(thm)],[d22,d17]) ).
cnf(d24,plain,
( ~ 'rdn$upositive$uless'(X1,rdn(rdnn(n8),rdnn(n7)))
| ~ 'rdn$utranslate'(X0,'rdn$upos'(X1))
| less(X0,n78) ),
inference(resolution,[status(thm)],[c699,c673]) ).
cnf(d25,plain,
( ~ 'rdn$upositive$uless'(X2,rdnn(n7))
| ~ 'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),X2)))
| less(X0,n78) ),
inference(resolution,[status(thm)],[d24,c694]) ).
cnf(d26,plain,
( ~ 'rdn$upositive$uless'(rdnn(n6),rdnn(n7))
| less(n65,n78) ),
inference(resolution,[status(thm)],[d25,c671]) ).
cnf(d27,plain,
less(n65,n78),
inference(resolution,[status(thm)],[c690,d26]) ).
cnf(d28,plain,
( ~ 'accept$upopulation'(countrybcivilorganization,native,n4)
| ~ 'accept$upopulation'(countrybcivilorganization,other,n4) ),
inference(resolution,[status(thm)],[d27,d23]) ).
cnf(d29,plain,
( ~ less(n4,n9)
| ~ 'accept$upopulation'(countrybcivilorganization,other,n4) ),
inference(resolution,[status(thm)],[d28,d8]) ).
cnf(d30,plain,
( ~ 'rdn$upositive$uless'(X1,rdnn(n9))
| ~ 'rdn$utranslate'(X0,'rdn$upos'(X1))
| less(X0,n9) ),
inference(resolution,[status(thm)],[c699,c666]) ).
cnf(d31,plain,
( ~ 'rdn$upositive$uless'(rdnn(X0),rdnn(n8))
| 'rdn$upositive$uless'(rdnn(X0),rdnn(n9)) ),
inference(resolution,[status(thm)],[c693,c692]) ).
cnf(d32,plain,
( ~ 'rdn$upositive$uless'(rdnn(X0),rdnn(n7))
| 'rdn$upositive$uless'(rdnn(X0),rdnn(n8)) ),
inference(resolution,[status(thm)],[c693,c691]) ).
cnf(d33,plain,
( ~ 'rdn$upositive$uless'(rdnn(X0),rdnn(n5))
| 'rdn$upositive$uless'(rdnn(X0),rdnn(n6)) ),
inference(resolution,[status(thm)],[c693,c689]) ).
cnf(d34,plain,
'rdn$upositive$uless'(rdnn(n4),rdnn(n6)),
inference(resolution,[status(thm)],[d33,c688]) ).
cnf(d35,plain,
( ~ 'rdn$upositive$uless'(rdnn(X0),rdnn(n6))
| 'rdn$upositive$uless'(rdnn(X0),rdnn(n7)) ),
inference(resolution,[status(thm)],[c693,c690]) ).
cnf(d36,plain,
'rdn$upositive$uless'(rdnn(n4),rdnn(n7)),
inference(resolution,[status(thm)],[d35,d34]) ).
cnf(d37,plain,
'rdn$upositive$uless'(rdnn(n4),rdnn(n8)),
inference(resolution,[status(thm)],[d36,d32]) ).
cnf(d38,plain,
'rdn$upositive$uless'(rdnn(n4),rdnn(n9)),
inference(resolution,[status(thm)],[d37,d31]) ).
cnf(d39,plain,
( ~ 'rdn$utranslate'(X0,'rdn$upos'(rdnn(n4)))
| less(X0,n9) ),
inference(resolution,[status(thm)],[d38,d30]) ).
cnf(d40,plain,
less(n4,n9),
inference(resolution,[status(thm)],[d39,c661]) ).
cnf(d41,plain,
~ 'accept$upopulation'(countrybcivilorganization,other,n4),
inference(resolution,[status(thm)],[d40,d29]) ).
cnf(d42,plain,
~ less(n4,n5),
inference(resolution,[status(thm)],[d41,d0]) ).
cnf(d43,plain,
( ~ 'rdn$upositive$uless'(X1,rdnn(n5))
| ~ 'rdn$utranslate'(X0,'rdn$upos'(X1))
| less(X0,n5) ),
inference(resolution,[status(thm)],[c699,c662]) ).
cnf(d44,plain,
( ~ 'rdn$utranslate'(X0,'rdn$upos'(rdnn(n4)))
| less(X0,n5) ),
inference(resolution,[status(thm)],[d43,c688]) ).
cnf(d45,plain,
less(n4,n5),
inference(resolution,[status(thm)],[d44,c661]) ).
cnf(d46,plain,
$false,
inference(resolution,[status(thm)],[d45,d42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT006+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 20:54:35 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.21/32.33 % SZS status Theorem for theBenchmark.p
% 93.21/32.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------