%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : AGT021+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 06:45:38 AM UTC 2026
% Result : Theorem 187.58s 77.32s
% Output : CNFRefutation 187.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT021+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 20:54:16 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 187.58/77.32 % SZS status Theorem for theBenchmark.p
% 187.58/77.32 % SZS output start CNFRefutation for theBenchmark.p
% 187.58/77.32 fof(a1_3, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('accept$upopulation'(X0,X3,X1) & less(X2,X1)) => 'accept$upopulation'(X0,X3,X2)))).
% 187.58/77.32 fof(a2_7, axiom, ! [X0] : ((('accept$upopulation'(X0,atheist,n12) & ('accept$upopulation'(X0,christian,n3) & ('accept$upopulation'(X0,muslim,n0) & ('accept$upopulation'(X0,native,n85) & 'accept$upopulation'(X0,other,n0))))) <=> 'accept$ucity'(X0,coastvillage)))).
% 187.58/77.32 fof(a2_8, axiom, ! [X0] : ((('accept$upopulation'(X0,atheist,n0) & ('accept$upopulation'(X0,christian,n0) & ('accept$upopulation'(X0,muslim,n0) & ('accept$upopulation'(X0,native,n100) & 'accept$upopulation'(X0,other,n0))))) <=> 'accept$ucity'(X0,sunsetpoint)))).
% 187.58/77.32 fof(deduced_13, axiom, ~'accept$ucity'(countryamedicalorganization,coastvillage)).
% 187.58/77.32 fof(deduced_211, axiom, 'accept$upopulation'(countryamedicalorganization,christian,n20)).
% 187.58/77.32 fof(deduced_212, axiom, 'accept$upopulation'(countryamedicalorganization,atheist,n78)).
% 187.58/77.32 fof(rdn3, axiom, 'rdn$utranslate'(n3,'rdn$upos'(rdnn(n3)))).
% 187.58/77.32 fof(rdn12, axiom, 'rdn$utranslate'(n12,'rdn$upos'(rdn(rdnn(n2),rdnn(n1))))).
% 187.58/77.32 fof(rdn20, axiom, 'rdn$utranslate'(n20,'rdn$upos'(rdn(rdnn(n0),rdnn(n2))))).
% 187.58/77.32 fof(rdn78, axiom, 'rdn$utranslate'(n78,'rdn$upos'(rdn(rdnn(n8),rdnn(n7))))).
% 187.58/77.32 fof(rdn85, axiom, 'rdn$utranslate'(n85,'rdn$upos'(rdn(rdnn(n5),rdnn(n8))))).
% 187.58/77.32 fof(rdn100, axiom, 'rdn$utranslate'(n100,'rdn$upos'(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))))).
% 187.58/77.32 fof(rdn_digit1, axiom, 'rdn$unon$uzero$udigit'(rdnn(n1))).
% 187.58/77.32 fof(rdn_digit2, axiom, 'rdn$unon$uzero$udigit'(rdnn(n2))).
% 187.58/77.32 fof(rdn_positive_less12, axiom, 'rdn$upositive$uless'(rdnn(n1),rdnn(n2))).
% 187.58/77.32 fof(rdn_positive_less23, axiom, 'rdn$upositive$uless'(rdnn(n2),rdnn(n3))).
% 187.58/77.32 fof(rdn_positive_less34, axiom, 'rdn$upositive$uless'(rdnn(n3),rdnn(n4))).
% 187.58/77.32 fof(rdn_positive_less45, axiom, 'rdn$upositive$uless'(rdnn(n4),rdnn(n5))).
% 187.58/77.32 fof(rdn_positive_less56, axiom, 'rdn$upositive$uless'(rdnn(n5),rdnn(n6))).
% 187.58/77.32 fof(rdn_positive_less67, axiom, 'rdn$upositive$uless'(rdnn(n6),rdnn(n7))).
% 187.58/77.32 fof(rdn_positive_less_transitivity, axiom, ! [X0] : ! [X1] : ! [X2] : ((('rdn$upositive$uless'(rdnn(X0),rdnn(X1)) & 'rdn$upositive$uless'(rdnn(X1),rdnn(X2))) => 'rdn$upositive$uless'(rdnn(X0),rdnn(X2))))).
% 187.58/77.32 fof(rdn_positive_less_multi_digit_high, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('rdn$upositive$uless'(X1,X3) => 'rdn$upositive$uless'(rdn(rdnn(X0),X1),rdn(rdnn(X2),X3))))).
% 187.58/77.32 fof(rdn_extra_digits_positive_less, axiom, ! [X0] : ! [X1] : ! [X2] : (('rdn$unon$uzero'(X2) => 'rdn$upositive$uless'(rdnn(X0),rdn(rdnn(X1),X2))))).
% 187.58/77.32 fof(rdn_non_zero_by_digit, axiom, ! [X0] : (('rdn$unon$uzero$udigit'(rdnn(X0)) => 'rdn$unon$uzero'(rdnn(X0))))).
% 187.58/77.32 fof(less_entry_point_pos_pos, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('rdn$utranslate'(X0,'rdn$upos'(X2)) & ('rdn$utranslate'(X1,'rdn$upos'(X3)) & 'rdn$upositive$uless'(X2,X3))) => less(X0,X1)))).
% 187.58/77.32 fof(query_21, conjecture, ? [X0] : ~'accept$ucity'(X0,sunsetpoint)).
% 187.58/77.32 fof(negated_conjecture, negated_conjecture, ~? [X0] : ~'accept$ucity'(X0,sunsetpoint), inference(negate_conjecture, [status(cth)], [query_21])).
% 187.58/77.32 cnf(c5, plain, ~less(X0,X1) | ~'accept$upopulation'(X2,X3,X1) | 'accept$upopulation'(X2,X3,X0), inference(clausification, [status(esa)], [a1_3])).
% 187.58/77.32 cnf(c9, plain, ~'accept$upopulation'(X0,muslim,n0) | ~'accept$upopulation'(X0,atheist,n12) | ~'accept$upopulation'(X0,other,n0) | 'accept$ucity'(X0,coastvillage) | ~'accept$upopulation'(X0,native,n85) | ~'accept$upopulation'(X0,christian,n3), inference(clausification, [status(esa)], [a2_7])).
% 187.58/77.32 cnf(c17, plain, X0(X1) | ~'accept$ucity'(X1,sunsetpoint), inference(clausification, [status(esa)], [a2_8])).
% 187.58/77.32 cnf(c19, plain, ~X0(X1) | 'accept$upopulation'(X1,muslim,n0), inference(clausification, [status(esa)], [a2_8])).
% 187.58/77.32 cnf(c20, plain, ~X0(X1) | 'accept$upopulation'(X1,other,n0), inference(clausification, [status(esa)], [a2_8])).
% 187.58/77.32 cnf(c21, plain, ~X0(X1) | 'accept$upopulation'(X1,native,n100), inference(clausification, [status(esa)], [a2_8])).
% 187.58/77.32 cnf(c302, plain, ~'accept$ucity'(countryamedicalorganization,coastvillage), inference(clausification, [status(esa)], [deduced_13])).
% 187.58/77.32 cnf(c500, plain, 'accept$upopulation'(countryamedicalorganization,christian,n20), inference(clausification, [status(esa)], [deduced_211])).
% 187.58/77.32 cnf(c501, plain, 'accept$upopulation'(countryamedicalorganization,atheist,n78), inference(clausification, [status(esa)], [deduced_212])).
% 187.58/77.32 cnf(c660, plain, 'rdn$utranslate'(n3,'rdn$upos'(rdnn(n3))), inference(clausification, [status(esa)], [rdn3])).
% 187.58/77.32 cnf(c667, plain, 'rdn$utranslate'(n12,'rdn$upos'(rdn(rdnn(n2),rdnn(n1)))), inference(clausification, [status(esa)], [rdn12])).
% 187.58/77.32 cnf(c668, plain, 'rdn$utranslate'(n20,'rdn$upos'(rdn(rdnn(n0),rdnn(n2)))), inference(clausification, [status(esa)], [rdn20])).
% 187.58/77.32 cnf(c673, plain, 'rdn$utranslate'(n78,'rdn$upos'(rdn(rdnn(n8),rdnn(n7)))), inference(clausification, [status(esa)], [rdn78])).
% 187.58/77.32 cnf(c674, plain, 'rdn$utranslate'(n85,'rdn$upos'(rdn(rdnn(n5),rdnn(n8)))), inference(clausification, [status(esa)], [rdn85])).
% 187.58/77.32 cnf(c675, plain, 'rdn$utranslate'(n100,'rdn$upos'(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))), inference(clausification, [status(esa)], [rdn100])).
% 187.58/77.32 cnf(c676, plain, 'rdn$unon$uzero$udigit'(rdnn(n1)), inference(clausification, [status(esa)], [rdn_digit1])).
% 187.58/77.32 cnf(c677, plain, 'rdn$unon$uzero$udigit'(rdnn(n2)), inference(clausification, [status(esa)], [rdn_digit2])).
% 187.58/77.32 cnf(c686, plain, 'rdn$upositive$uless'(rdnn(n1),rdnn(n2)), inference(clausification, [status(esa)], [rdn_positive_less12])).
% 187.58/77.32 cnf(c687, plain, 'rdn$upositive$uless'(rdnn(n2),rdnn(n3)), inference(clausification, [status(esa)], [rdn_positive_less23])).
% 187.58/77.32 cnf(c688, plain, 'rdn$upositive$uless'(rdnn(n3),rdnn(n4)), inference(clausification, [status(esa)], [rdn_positive_less34])).
% 187.58/77.32 cnf(c689, plain, 'rdn$upositive$uless'(rdnn(n4),rdnn(n5)), inference(clausification, [status(esa)], [rdn_positive_less45])).
% 187.58/77.32 cnf(c690, plain, 'rdn$upositive$uless'(rdnn(n5),rdnn(n6)), inference(clausification, [status(esa)], [rdn_positive_less56])).
% 187.58/77.32 cnf(c691, plain, 'rdn$upositive$uless'(rdnn(n6),rdnn(n7)), inference(clausification, [status(esa)], [rdn_positive_less67])).
% 187.58/77.32 cnf(c694, plain, ~'rdn$upositive$uless'(rdnn(X0),rdnn(X1)) | ~'rdn$upositive$uless'(rdnn(X2),rdnn(X0)) | 'rdn$upositive$uless'(rdnn(X2),rdnn(X1)), inference(clausification, [status(esa)], [rdn_positive_less_transitivity])).
% 187.58/77.32 cnf(c695, plain, ~'rdn$upositive$uless'(X0,X1) | 'rdn$upositive$uless'(rdn(rdnn(X2),X0),rdn(rdnn(X3),X1)), inference(clausification, [status(esa)], [rdn_positive_less_multi_digit_high])).
% 187.58/77.32 cnf(c697, plain, ~'rdn$unon$uzero'(X0) | 'rdn$upositive$uless'(rdnn(X1),rdn(rdnn(X2),X0)), inference(clausification, [status(esa)], [rdn_extra_digits_positive_less])).
% 187.58/77.32 cnf(c698, plain, ~'rdn$unon$uzero$udigit'(rdnn(X0)) | 'rdn$unon$uzero'(rdnn(X0)), inference(clausification, [status(esa)], [rdn_non_zero_by_digit])).
% 187.58/77.32 cnf(c700, plain, ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(X2,X1) | ~'rdn$utranslate'(X3,'rdn$upos'(X2)) | less(X3,X0), inference(clausification, [status(esa)], [less_entry_point_pos_pos])).
% 187.58/77.32 cnf(c710, plain, 'accept$ucity'(X0,sunsetpoint), inference(clausification, [status(esa)], [negated_conjecture])).
% 187.58/77.32 cnf(d0, plain, ~less(X0,n78) | 'accept$upopulation'(countryamedicalorganization,atheist,X0), inference(resolution, [status(thm)], [c501,c5])).
% 187.58/77.32 cnf(d1, plain, ~'Ts19'(X0) | ~less(X1,n100) | 'accept$upopulation'(X0,native,X1), inference(resolution, [status(thm)], [c21,c5])).
% 187.58/77.32 cnf(d2, plain, 'Ts19'(X0), inference(resolution, [status(thm)], [c710,c17])).
% 187.58/77.32 cnf(d3, plain, ~less(X0,n100) | 'accept$upopulation'(X1,native,X0), inference(resolution, [status(thm)], [d2,d1])).
% 187.58/77.32 cnf(d4, plain, ~less(X0,n20) | 'accept$upopulation'(countryamedicalorganization,christian,X0), inference(resolution, [status(thm)], [c500,c5])).
% 187.58/77.32 cnf(d5, plain, 'accept$upopulation'(X0,muslim,n0), inference(resolution, [status(thm)], [d2,c19])).
% 187.58/77.32 cnf(d6, plain, 'accept$ucity'(X0,coastvillage) | ~'accept$upopulation'(X0,atheist,n12) | ~'accept$upopulation'(X0,native,n85) | ~'accept$upopulation'(X0,other,n0) | ~'accept$upopulation'(X0,christian,n3), inference(resolution, [status(thm)], [d5,c9])).
% 187.58/77.32 cnf(d7, plain, 'accept$upopulation'(X0,other,n0), inference(resolution, [status(thm)], [d2,c20])).
% 187.58/77.32 cnf(d8, plain, 'accept$ucity'(X0,coastvillage) | ~'accept$upopulation'(X0,atheist,n12) | ~'accept$upopulation'(X0,native,n85) | ~'accept$upopulation'(X0,christian,n3), inference(resolution, [status(thm)], [d7,d6])).
% 187.58/77.32 cnf(d9, plain, 'accept$ucity'(countryamedicalorganization,coastvillage) | ~'accept$upopulation'(countryamedicalorganization,atheist,n12) | ~'accept$upopulation'(countryamedicalorganization,native,n85) | ~less(n3,n20), inference(resolution, [status(thm)], [d8,d4])).
% 187.58/77.32 cnf(d10, plain, ~less(n3,n20) | ~'accept$upopulation'(countryamedicalorganization,atheist,n12) | ~'accept$upopulation'(countryamedicalorganization,native,n85), inference(resolution, [status(thm)], [c302,d9])).
% 187.58/77.32 cnf(d11, plain, less(X0,n20) | ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(X1,rdn(rdnn(n0),rdnn(n2))), inference(resolution, [status(thm)], [c700,c668])).
% 187.58/77.32 cnf(d12, plain, less(X0,n20) | ~'rdn$utranslate'(X0,'rdn$upos'(rdnn(X1))) | ~'rdn$unon$uzero'(rdnn(n2)), inference(resolution, [status(thm)], [d11,c697])).
% 187.58/77.32 cnf(d13, plain, 'rdn$unon$uzero'(rdnn(n2)), inference(resolution, [status(thm)], [c698,c677])).
% 187.58/77.32 cnf(d14, plain, less(X0,n20) | ~'rdn$utranslate'(X0,'rdn$upos'(rdnn(X1))), inference(resolution, [status(thm)], [d13,d12])).
% 187.58/77.32 cnf(d15, plain, less(n3,n20), inference(resolution, [status(thm)], [d14,c660])).
% 187.58/77.32 cnf(d16, plain, ~'accept$upopulation'(countryamedicalorganization,atheist,n12) | ~'accept$upopulation'(countryamedicalorganization,native,n85), inference(resolution, [status(thm)], [d15,d10])).
% 187.58/77.32 cnf(d17, plain, ~'accept$upopulation'(countryamedicalorganization,atheist,n12) | ~less(n85,n100), inference(resolution, [status(thm)], [d16,d3])).
% 187.58/77.32 cnf(d18, plain, less(X0,n100) | ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(X1,rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))), inference(resolution, [status(thm)], [c700,c675])).
% 187.58/77.32 cnf(d19, plain, less(X0,n100) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),X2))) | ~'rdn$upositive$uless'(X2,rdn(rdnn(n0),rdnn(n1))), inference(resolution, [status(thm)], [d18,c695])).
% 187.58/77.32 cnf(d20, plain, less(X0,n100) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(X2)))) | ~'rdn$unon$uzero'(rdnn(n1)), inference(resolution, [status(thm)], [d19,c697])).
% 187.58/77.32 cnf(d21, plain, 'rdn$unon$uzero'(rdnn(n1)), inference(resolution, [status(thm)], [c698,c676])).
% 187.58/77.32 cnf(d22, plain, less(X0,n100) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(X2)))), inference(resolution, [status(thm)], [d21,d20])).
% 187.58/77.32 cnf(d23, plain, less(n85,n100), inference(resolution, [status(thm)], [d22,c674])).
% 187.58/77.32 cnf(d24, plain, ~'accept$upopulation'(countryamedicalorganization,atheist,n12), inference(resolution, [status(thm)], [d23,d17])).
% 187.58/77.32 cnf(d25, plain, ~less(n12,n78), inference(resolution, [status(thm)], [d24,d0])).
% 187.58/77.32 cnf(d26, plain, less(X0,n78) | ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(X1,rdn(rdnn(n8),rdnn(n7))), inference(resolution, [status(thm)], [c700,c673])).
% 187.58/77.32 cnf(d27, plain, less(X0,n78) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),X2))) | ~'rdn$upositive$uless'(X2,rdnn(n7)), inference(resolution, [status(thm)], [d26,c695])).
% 187.58/77.32 cnf(d28, plain, less(n12,n78) | ~'rdn$upositive$uless'(rdnn(n1),rdnn(n7)), inference(resolution, [status(thm)], [d27,c667])).
% 187.58/77.32 cnf(d29, plain, 'rdn$upositive$uless'(rdnn(X0),rdnn(n7)) | ~'rdn$upositive$uless'(rdnn(X0),rdnn(n6)), inference(resolution, [status(thm)], [c694,c691])).
% 187.58/77.32 cnf(d30, plain, 'rdn$upositive$uless'(rdnn(X0),rdnn(n6)) | ~'rdn$upositive$uless'(rdnn(X0),rdnn(n5)), inference(resolution, [status(thm)], [c694,c690])).
% 187.58/77.32 cnf(d31, plain, 'rdn$upositive$uless'(rdnn(X0),rdnn(n5)) | ~'rdn$upositive$uless'(rdnn(X0),rdnn(n4)), inference(resolution, [status(thm)], [c694,c689])).
% 187.58/77.32 cnf(d32, plain, 'rdn$upositive$uless'(rdnn(X0),rdnn(n4)) | ~'rdn$upositive$uless'(rdnn(X0),rdnn(n3)), inference(resolution, [status(thm)], [c694,c688])).
% 187.58/77.32 cnf(d33, plain, 'rdn$upositive$uless'(rdnn(X0),rdnn(n3)) | ~'rdn$upositive$uless'(rdnn(X0),rdnn(n2)), inference(resolution, [status(thm)], [c694,c687])).
% 187.58/77.32 cnf(d34, plain, 'rdn$upositive$uless'(rdnn(n1),rdnn(n3)), inference(resolution, [status(thm)], [d33,c686])).
% 187.58/77.32 cnf(d35, plain, 'rdn$upositive$uless'(rdnn(n1),rdnn(n4)), inference(resolution, [status(thm)], [d34,d32])).
% 187.58/77.32 cnf(d36, plain, 'rdn$upositive$uless'(rdnn(n1),rdnn(n5)), inference(resolution, [status(thm)], [d35,d31])).
% 187.58/77.32 cnf(d37, plain, 'rdn$upositive$uless'(rdnn(n1),rdnn(n6)), inference(resolution, [status(thm)], [d36,d30])).
% 187.58/77.32 cnf(d38, plain, 'rdn$upositive$uless'(rdnn(n1),rdnn(n7)), inference(resolution, [status(thm)], [d37,d29])).
% 187.58/77.32 cnf(d39, plain, less(n12,n78), inference(resolution, [status(thm)], [d38,d28])).
% 187.58/77.32 cnf(d40, plain, $false, inference(resolution, [status(thm)], [d39,d25])).
% 187.58/77.32 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------