%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : AGT009+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 : n015.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 06:45:36 AM UTC 2026
% Result : Theorem 156.76s 68.08s
% Output : CNFRefutation 156.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : AGT009+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.41 % Computer : n015.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.41 % WCLimit : 300
% 0.17/0.41 % DateTime : Sat Sep 26 20:55:59 UTC 2026
% 0.17/0.41 % CPUTime :
% 0.17/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 156.76/68.08 % SZS status Theorem for theBenchmark.p
% 156.76/68.08 % SZS output start CNFRefutation for theBenchmark.p
% 156.76/68.08 fof(a1_1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('accept$uteam'(X0,X3,X1,X2) <=> ('accept$ucity'(X0,X1) & ('accept$uleader'(X0,X3) & 'accept$unumber'(X0,X2)))))).
% 156.76/68.08 fof(a1_3, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('accept$upopulation'(X0,X3,X1) & less(X2,X1)) => 'accept$upopulation'(X0,X3,X2)))).
% 156.76/68.08 fof(a2_9, axiom, ! [X0] : ((('accept$upopulation'(X0,atheist,n75) & ('accept$upopulation'(X0,christian,n24) & ('accept$upopulation'(X0,muslim,n1) & ('accept$upopulation'(X0,native,n0) & 'accept$upopulation'(X0,other,n0))))) <=> 'accept$ucity'(X0,towna)))).
% 156.76/68.08 fof(a2_10, axiom, ! [X0] : ((('accept$upopulation'(X0,atheist,n75) & ('accept$upopulation'(X0,christian,n25) & ('accept$upopulation'(X0,muslim,n0) & ('accept$upopulation'(X0,native,n0) & 'accept$upopulation'(X0,other,n0))))) <=> 'accept$ucity'(X0,citya)))).
% 156.76/68.08 fof(deduced_197, axiom, 'accept$upopulation'(muslimcountrybhumanitarianorganization,muslim,n65)).
% 156.76/68.08 fof(deduced_203, axiom, 'accept$upopulation'(muslimcountrybhumanitarianorganization,native,n0)).
% 156.76/68.08 fof(deduced_366, axiom, ~'accept$ucity'(muslimcountrybhumanitarianorganization,towna)).
% 156.76/68.08 fof(rdn1, axiom, 'rdn$utranslate'(n1,'rdn$upos'(rdnn(n1)))).
% 156.76/68.08 fof(rdn24, axiom, 'rdn$utranslate'(n24,'rdn$upos'(rdn(rdnn(n4),rdnn(n2))))).
% 156.76/68.08 fof(rdn25, axiom, 'rdn$utranslate'(n25,'rdn$upos'(rdn(rdnn(n5),rdnn(n2))))).
% 156.76/68.08 fof(rdn65, axiom, 'rdn$utranslate'(n65,'rdn$upos'(rdn(rdnn(n5),rdnn(n6))))).
% 156.76/68.08 fof(rdn_digit2, axiom, 'rdn$unon$uzero$udigit'(rdnn(n2))).
% 156.76/68.08 fof(rdn_digit6, axiom, 'rdn$unon$uzero$udigit'(rdnn(n6))).
% 156.76/68.08 fof(rdn_positive_less45, axiom, 'rdn$upositive$uless'(rdnn(n4),rdnn(n5))).
% 156.76/68.08 fof(rdn_positive_less_multi_digit_low, axiom, ! [X0] : ! [X1] : ! [X2] : ((('rdn$upositive$uless'(rdnn(X0),rdnn(X2)) & 'rdn$unon$uzero'(X1)) => 'rdn$upositive$uless'(rdn(rdnn(X0),X1),rdn(rdnn(X2),X1))))).
% 156.76/68.08 fof(rdn_extra_digits_positive_less, axiom, ! [X0] : ! [X1] : ! [X2] : (('rdn$unon$uzero'(X2) => 'rdn$upositive$uless'(rdnn(X0),rdn(rdnn(X1),X2))))).
% 156.76/68.08 fof(rdn_non_zero_by_digit, axiom, ! [X0] : (('rdn$unon$uzero$udigit'(rdnn(X0)) => 'rdn$unon$uzero'(rdnn(X0))))).
% 156.76/68.08 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)))).
% 156.76/68.08 fof(query_9, conjecture, ~'accept$uteam'(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2)).
% 156.76/68.08 fof(negated_conjecture, negated_conjecture, ~~'accept$uteam'(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2), inference(negate_conjecture, [status(cth)], [query_9])).
% 156.76/68.08 cnf(c0, plain, ~'accept$uteam'(X0,X1,X2,X3) | 'accept$ucity'(X0,X2), inference(clausification, [status(esa)], [a1_1])).
% 156.76/68.08 cnf(c5, plain, ~less(X0,X1) | ~'accept$upopulation'(X2,X3,X1) | 'accept$upopulation'(X2,X3,X0), inference(clausification, [status(esa)], [a1_3])).
% 156.76/68.08 cnf(c16, plain, ~'accept$upopulation'(X0,muslim,n1) | ~'accept$upopulation'(X0,atheist,n75) | ~'accept$upopulation'(X0,christian,n24) | ~'accept$upopulation'(X0,native,n0) | 'accept$ucity'(X0,towna) | ~'accept$upopulation'(X0,other,n0), inference(clausification, [status(esa)], [a2_9])).
% 156.76/68.08 cnf(c24, plain, X0(X1) | ~'accept$ucity'(X1,citya), inference(clausification, [status(esa)], [a2_10])).
% 156.76/68.08 cnf(c25, plain, ~X0(X1) | 'accept$upopulation'(X1,atheist,n75), inference(clausification, [status(esa)], [a2_10])).
% 156.76/68.08 cnf(c27, plain, ~X0(X1) | 'accept$upopulation'(X1,other,n0), inference(clausification, [status(esa)], [a2_10])).
% 156.76/68.08 cnf(c29, plain, ~X0(X1) | 'accept$upopulation'(X1,christian,n25), inference(clausification, [status(esa)], [a2_10])).
% 156.76/68.08 cnf(c486, plain, 'accept$upopulation'(muslimcountrybhumanitarianorganization,muslim,n65), inference(clausification, [status(esa)], [deduced_197])).
% 156.76/68.08 cnf(c492, plain, 'accept$upopulation'(muslimcountrybhumanitarianorganization,native,n0), inference(clausification, [status(esa)], [deduced_203])).
% 156.76/68.08 cnf(c655, plain, ~'accept$ucity'(muslimcountrybhumanitarianorganization,towna), inference(clausification, [status(esa)], [deduced_366])).
% 156.76/68.08 cnf(c658, plain, 'rdn$utranslate'(n1,'rdn$upos'(rdnn(n1))), inference(clausification, [status(esa)], [rdn1])).
% 156.76/68.08 cnf(c669, plain, 'rdn$utranslate'(n24,'rdn$upos'(rdn(rdnn(n4),rdnn(n2)))), inference(clausification, [status(esa)], [rdn24])).
% 156.76/68.08 cnf(c670, plain, 'rdn$utranslate'(n25,'rdn$upos'(rdn(rdnn(n5),rdnn(n2)))), inference(clausification, [status(esa)], [rdn25])).
% 156.76/68.08 cnf(c672, plain, 'rdn$utranslate'(n65,'rdn$upos'(rdn(rdnn(n5),rdnn(n6)))), inference(clausification, [status(esa)], [rdn65])).
% 156.76/68.08 cnf(c677, plain, 'rdn$unon$uzero$udigit'(rdnn(n2)), inference(clausification, [status(esa)], [rdn_digit2])).
% 156.76/68.08 cnf(c681, plain, 'rdn$unon$uzero$udigit'(rdnn(n6)), inference(clausification, [status(esa)], [rdn_digit6])).
% 156.76/68.08 cnf(c689, plain, 'rdn$upositive$uless'(rdnn(n4),rdnn(n5)), inference(clausification, [status(esa)], [rdn_positive_less45])).
% 156.76/68.08 cnf(c696, plain, ~'rdn$unon$uzero'(X0) | ~'rdn$upositive$uless'(rdnn(X1),rdnn(X2)) | 'rdn$upositive$uless'(rdn(rdnn(X1),X0),rdn(rdnn(X2),X0)), inference(clausification, [status(esa)], [rdn_positive_less_multi_digit_low])).
% 156.76/68.08 cnf(c697, plain, ~'rdn$unon$uzero'(X0) | 'rdn$upositive$uless'(rdnn(X1),rdn(rdnn(X2),X0)), inference(clausification, [status(esa)], [rdn_extra_digits_positive_less])).
% 156.76/68.08 cnf(c698, plain, ~'rdn$unon$uzero$udigit'(rdnn(X0)) | 'rdn$unon$uzero'(rdnn(X0)), inference(clausification, [status(esa)], [rdn_non_zero_by_digit])).
% 156.76/68.08 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])).
% 156.76/68.08 cnf(c710, plain, 'accept$uteam'(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,citya,n2), inference(clausification, [status(esa)], [negated_conjecture])).
% 156.76/68.08 cnf(d0, plain, ~less(X0,n65) | 'accept$upopulation'(muslimcountrybhumanitarianorganization,muslim,X0), inference(resolution, [status(thm)], [c486,c5])).
% 156.76/68.08 cnf(d1, plain, ~'Ts21'(X0) | ~less(X1,n25) | 'accept$upopulation'(X0,christian,X1), inference(resolution, [status(thm)], [c29,c5])).
% 156.76/68.08 cnf(d2, plain, ~less(n24,n25) | ~'Ts21'(X0) | 'accept$ucity'(X0,towna) | ~'accept$upopulation'(X0,atheist,n75) | ~'accept$upopulation'(X0,native,n0) | ~'accept$upopulation'(X0,muslim,n1) | ~'accept$upopulation'(X0,other,n0), inference(resolution, [status(thm)], [d1,c16])).
% 156.76/68.08 cnf(d3, plain, 'accept$ucity'(X0,towna) | ~less(n24,n25) | ~'accept$upopulation'(X0,atheist,n75) | ~'accept$upopulation'(X0,native,n0) | ~'accept$upopulation'(X0,muslim,n1) | ~'Ts21'(X0) | ~'Ts21'(X0), inference(resolution, [status(thm)], [d2,c27])).
% 156.76/68.08 cnf(d4, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,towna) | ~less(n24,n25) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,native,n0) | ~'Ts21'(muslimcountrybhumanitarianorganization) | ~less(n1,n65), inference(resolution, [status(thm)], [d3,d0])).
% 156.76/68.08 cnf(d5, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,towna) | ~less(n1,n65) | ~less(n24,n25) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75) | ~'Ts21'(muslimcountrybhumanitarianorganization), inference(resolution, [status(thm)], [c492,d4])).
% 156.76/68.08 cnf(d6, plain, ~less(n1,n65) | ~less(n24,n25) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75) | ~'Ts21'(muslimcountrybhumanitarianorganization), inference(resolution, [status(thm)], [c655,d5])).
% 156.76/68.08 cnf(d7, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,citya), inference(resolution, [status(thm)], [c710,c0])).
% 156.76/68.08 cnf(d8, plain, 'Ts21'(muslimcountrybhumanitarianorganization), inference(resolution, [status(thm)], [d7,c24])).
% 156.76/68.08 cnf(d9, plain, ~less(n1,n65) | ~less(n24,n25) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75), inference(resolution, [status(thm)], [d8,d6])).
% 156.76/68.08 cnf(d10, plain, less(X0,n65) | ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(X1,rdn(rdnn(n5),rdnn(n6))), inference(resolution, [status(thm)], [c700,c672])).
% 156.76/68.08 cnf(d11, plain, less(X0,n65) | ~'rdn$utranslate'(X0,'rdn$upos'(rdnn(X1))) | ~'rdn$unon$uzero'(rdnn(n6)), inference(resolution, [status(thm)], [d10,c697])).
% 156.76/68.08 cnf(d12, plain, 'rdn$unon$uzero'(rdnn(n6)), inference(resolution, [status(thm)], [c698,c681])).
% 156.76/68.08 cnf(d13, plain, less(X0,n65) | ~'rdn$utranslate'(X0,'rdn$upos'(rdnn(X1))), inference(resolution, [status(thm)], [d12,d11])).
% 156.76/68.08 cnf(d14, plain, less(n1,n65), inference(resolution, [status(thm)], [d13,c658])).
% 156.76/68.08 cnf(d15, plain, ~less(n24,n25) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75), inference(resolution, [status(thm)], [d14,d9])).
% 156.76/68.08 cnf(d16, plain, less(X0,n25) | ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(X1,rdn(rdnn(n5),rdnn(n2))), inference(resolution, [status(thm)], [c700,c670])).
% 156.76/68.08 cnf(d17, plain, less(X0,n25) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(n2)))) | ~'rdn$upositive$uless'(rdnn(X1),rdnn(n5)) | ~'rdn$unon$uzero'(rdnn(n2)), inference(resolution, [status(thm)], [d16,c696])).
% 156.76/68.08 cnf(d18, plain, 'rdn$unon$uzero'(rdnn(n2)), inference(resolution, [status(thm)], [c698,c677])).
% 156.76/68.08 cnf(d19, plain, less(X0,n25) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(n2)))) | ~'rdn$upositive$uless'(rdnn(X1),rdnn(n5)), inference(resolution, [status(thm)], [d18,d17])).
% 156.76/68.08 cnf(d20, plain, less(n24,n25) | ~'rdn$upositive$uless'(rdnn(n4),rdnn(n5)), inference(resolution, [status(thm)], [d19,c669])).
% 156.76/68.08 cnf(d21, plain, less(n24,n25), inference(resolution, [status(thm)], [c689,d20])).
% 156.76/68.08 cnf(d22, plain, ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75), inference(resolution, [status(thm)], [d21,d15])).
% 156.76/68.08 cnf(d23, plain, ~'Ts21'(muslimcountrybhumanitarianorganization), inference(resolution, [status(thm)], [d22,c25])).
% 156.76/68.08 cnf(d24, plain, $false, inference(resolution, [status(thm)], [d8,d23])).
% 156.76/68.08 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------