%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : AGT024+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 : n012.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 06:45:39 AM UTC 2026
% Result : Theorem 47.63s 16.97s
% Output : CNFRefutation 47.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : AGT024+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 26 20:54:55 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.63/16.97 % SZS status Theorem for theBenchmark.p
% 47.63/16.97 % SZS output start CNFRefutation for theBenchmark.p
% 47.63/16.97 fof(a1_3, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('accept$upopulation'(X0,X3,X1) & less(X2,X1)) => 'accept$upopulation'(X0,X3,X2)))).
% 47.63/16.97 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)))).
% 47.63/16.97 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)))).
% 47.63/16.97 fof(deduced_93, axiom, 'accept$upopulation'(muslimcountrybhumanitarianorganization,other,n0)).
% 47.63/16.97 fof(deduced_95, axiom, 'accept$upopulation'(muslimcountrybhumanitarianorganization,muslim,n0)).
% 47.63/16.97 fof(deduced_203, axiom, 'accept$upopulation'(muslimcountrybhumanitarianorganization,native,n0)).
% 47.63/16.97 fof(deduced_204, axiom, 'accept$upopulation'(muslimcountrybhumanitarianorganization,muslim,n1)).
% 47.63/16.97 fof(deduced_206, axiom, 'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n78)).
% 47.63/16.97 fof(deduced_366, axiom, ~'accept$ucity'(muslimcountrybhumanitarianorganization,towna)).
% 47.63/16.97 fof(rdn24, axiom, 'rdn$utranslate'(n24,'rdn$upos'(rdn(rdnn(n4),rdnn(n2))))).
% 47.63/16.97 fof(rdn25, axiom, 'rdn$utranslate'(n25,'rdn$upos'(rdn(rdnn(n5),rdnn(n2))))).
% 47.63/16.97 fof(rdn75, axiom, 'rdn$utranslate'(n75,'rdn$upos'(rdn(rdnn(n5),rdnn(n7))))).
% 47.63/16.97 fof(rdn78, axiom, 'rdn$utranslate'(n78,'rdn$upos'(rdn(rdnn(n8),rdnn(n7))))).
% 47.63/16.97 fof(rdn_digit2, axiom, 'rdn$unon$uzero$udigit'(rdnn(n2))).
% 47.63/16.97 fof(rdn_digit7, axiom, 'rdn$unon$uzero$udigit'(rdnn(n7))).
% 47.63/16.97 fof(rdn_positive_less45, axiom, 'rdn$upositive$uless'(rdnn(n4),rdnn(n5))).
% 47.63/16.97 fof(rdn_positive_less56, axiom, 'rdn$upositive$uless'(rdnn(n5),rdnn(n6))).
% 47.63/16.97 fof(rdn_positive_less67, axiom, 'rdn$upositive$uless'(rdnn(n6),rdnn(n7))).
% 47.63/16.97 fof(rdn_positive_less78, axiom, 'rdn$upositive$uless'(rdnn(n7),rdnn(n8))).
% 47.63/16.97 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))))).
% 47.63/16.97 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))))).
% 47.63/16.97 fof(rdn_non_zero_by_digit, axiom, ! [X0] : (('rdn$unon$uzero$udigit'(rdnn(X0)) => 'rdn$unon$uzero'(rdnn(X0))))).
% 47.63/16.97 fof(less_entry_point_pos_pos, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('rdn$utranslate'(X0,'rdn$upos'(X2)) & ('rdn$utranslate'(X1,'rdn$upos'(X3)) & 'rdn$upositive$uless'(X2,X3))) => less(X0,X1)))).
% 47.63/16.97 fof(query_24, conjecture, ? [X0] : ~'accept$upopulation'(X0,christian,n25)).
% 47.63/16.97 fof(negated_conjecture, negated_conjecture, ~? [X0] : ~'accept$upopulation'(X0,christian,n25), inference(negate_conjecture, [status(cth)], [query_24])).
% 47.63/16.97 cnf(c5, plain, ~less(X0,X1) | ~'accept$upopulation'(X2,X3,X1) | 'accept$upopulation'(X2,X3,X0), inference(clausification, [status(esa)], [a1_3])).
% 47.63/16.97 cnf(c16, plain, ~'accept$upopulation'(X0,muslim,n1) | ~'accept$upopulation'(X0,atheist,n75) | ~'accept$upopulation'(X0,christian,n24) | ~'accept$upopulation'(X0,native,n0) | 'accept$ucity'(X0,towna) | ~'accept$upopulation'(X0,other,n0), inference(clausification, [status(esa)], [a2_9])).
% 47.63/16.97 cnf(c23, plain, ~'accept$upopulation'(X0,christian,n25) | ~'accept$upopulation'(X0,native,n0) | 'accept$ucity'(X0,citya) | ~'accept$upopulation'(X0,muslim,n0) | ~'accept$upopulation'(X0,other,n0) | ~'accept$upopulation'(X0,atheist,n75), inference(clausification, [status(esa)], [a2_10])).
% 47.63/16.97 cnf(c24, plain, X0(X1) | ~'accept$ucity'(X1,citya), inference(clausification, [status(esa)], [a2_10])).
% 47.63/16.97 cnf(c25, plain, ~X0(X1) | 'accept$upopulation'(X1,atheist,n75), inference(clausification, [status(esa)], [a2_10])).
% 47.63/16.97 cnf(c382, plain, 'accept$upopulation'(muslimcountrybhumanitarianorganization,other,n0), inference(clausification, [status(esa)], [deduced_93])).
% 47.63/16.97 cnf(c384, plain, 'accept$upopulation'(muslimcountrybhumanitarianorganization,muslim,n0), inference(clausification, [status(esa)], [deduced_95])).
% 47.63/16.97 cnf(c492, plain, 'accept$upopulation'(muslimcountrybhumanitarianorganization,native,n0), inference(clausification, [status(esa)], [deduced_203])).
% 47.63/16.97 cnf(c493, plain, 'accept$upopulation'(muslimcountrybhumanitarianorganization,muslim,n1), inference(clausification, [status(esa)], [deduced_204])).
% 47.63/16.97 cnf(c495, plain, 'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n78), inference(clausification, [status(esa)], [deduced_206])).
% 47.63/16.97 cnf(c655, plain, ~'accept$ucity'(muslimcountrybhumanitarianorganization,towna), inference(clausification, [status(esa)], [deduced_366])).
% 47.63/16.97 cnf(c669, plain, 'rdn$utranslate'(n24,'rdn$upos'(rdn(rdnn(n4),rdnn(n2)))), inference(clausification, [status(esa)], [rdn24])).
% 47.63/16.97 cnf(c670, plain, 'rdn$utranslate'(n25,'rdn$upos'(rdn(rdnn(n5),rdnn(n2)))), inference(clausification, [status(esa)], [rdn25])).
% 47.63/16.97 cnf(c673, plain, 'rdn$utranslate'(n75,'rdn$upos'(rdn(rdnn(n5),rdnn(n7)))), inference(clausification, [status(esa)], [rdn75])).
% 47.63/16.97 cnf(c674, plain, 'rdn$utranslate'(n78,'rdn$upos'(rdn(rdnn(n8),rdnn(n7)))), inference(clausification, [status(esa)], [rdn78])).
% 47.63/16.97 cnf(c677, plain, 'rdn$unon$uzero$udigit'(rdnn(n2)), inference(clausification, [status(esa)], [rdn_digit2])).
% 47.63/16.97 cnf(c682, plain, 'rdn$unon$uzero$udigit'(rdnn(n7)), inference(clausification, [status(esa)], [rdn_digit7])).
% 47.63/16.97 cnf(c689, plain, 'rdn$upositive$uless'(rdnn(n4),rdnn(n5)), inference(clausification, [status(esa)], [rdn_positive_less45])).
% 47.63/16.97 cnf(c690, plain, 'rdn$upositive$uless'(rdnn(n5),rdnn(n6)), inference(clausification, [status(esa)], [rdn_positive_less56])).
% 47.63/16.97 cnf(c691, plain, 'rdn$upositive$uless'(rdnn(n6),rdnn(n7)), inference(clausification, [status(esa)], [rdn_positive_less67])).
% 47.63/16.97 cnf(c692, plain, 'rdn$upositive$uless'(rdnn(n7),rdnn(n8)), inference(clausification, [status(esa)], [rdn_positive_less78])).
% 47.63/16.97 cnf(c694, plain, ~'rdn$upositive$uless'(rdnn(X0),rdnn(X1)) | ~'rdn$upositive$uless'(rdnn(X2),rdnn(X0)) | 'rdn$upositive$uless'(rdnn(X2),rdnn(X1)), inference(clausification, [status(esa)], [rdn_positive_less_transitivity])).
% 47.63/16.97 cnf(c696, plain, ~'rdn$unon$uzero'(X0) | ~'rdn$upositive$uless'(rdnn(X1),rdnn(X2)) | 'rdn$upositive$uless'(rdn(rdnn(X1),X0),rdn(rdnn(X2),X0)), inference(clausification, [status(esa)], [rdn_positive_less_multi_digit_low])).
% 47.63/16.97 cnf(c698, plain, ~'rdn$unon$uzero$udigit'(rdnn(X0)) | 'rdn$unon$uzero'(rdnn(X0)), inference(clausification, [status(esa)], [rdn_non_zero_by_digit])).
% 47.63/16.97 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])).
% 47.63/16.97 cnf(c710, plain, 'accept$upopulation'(X0,christian,n25), inference(clausification, [status(esa)], [negated_conjecture])).
% 47.63/16.97 cnf(d0, plain, ~less(X0,n25) | 'accept$upopulation'(X1,christian,X0), inference(resolution, [status(thm)], [c710,c5])).
% 47.63/16.97 cnf(d1, plain, ~less(n24,n25) | 'accept$ucity'(X0,towna) | ~'accept$upopulation'(X0,atheist,n75) | ~'accept$upopulation'(X0,native,n0) | ~'accept$upopulation'(X0,muslim,n1) | ~'accept$upopulation'(X0,other,n0), inference(resolution, [status(thm)], [d0,c16])).
% 47.63/16.97 cnf(d2, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,towna) | ~less(n24,n25) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,native,n0) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,muslim,n1), inference(resolution, [status(thm)], [d1,c382])).
% 47.63/16.97 cnf(d3, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,towna) | ~less(n24,n25) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,muslim,n1), inference(resolution, [status(thm)], [c492,d2])).
% 47.63/16.97 cnf(d4, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,towna) | ~less(n24,n25) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75), inference(resolution, [status(thm)], [c493,d3])).
% 47.63/16.97 cnf(d5, plain, ~less(n24,n25) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75), inference(resolution, [status(thm)], [c655,d4])).
% 47.63/16.97 cnf(d6, plain, less(X0,n25) | ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(X1,rdn(rdnn(n5),rdnn(n2))), inference(resolution, [status(thm)], [c700,c670])).
% 47.63/16.97 cnf(d7, plain, less(X0,n25) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(n2)))) | ~'rdn$upositive$uless'(rdnn(X1),rdnn(n5)) | ~'rdn$unon$uzero'(rdnn(n2)), inference(resolution, [status(thm)], [d6,c696])).
% 47.63/16.97 cnf(d8, plain, 'rdn$unon$uzero'(rdnn(n2)), inference(resolution, [status(thm)], [c698,c677])).
% 47.63/16.97 cnf(d9, plain, less(X0,n25) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(n2)))) | ~'rdn$upositive$uless'(rdnn(X1),rdnn(n5)), inference(resolution, [status(thm)], [d8,d7])).
% 47.63/16.97 cnf(d10, plain, less(n24,n25) | ~'rdn$upositive$uless'(rdnn(n4),rdnn(n5)), inference(resolution, [status(thm)], [d9,c669])).
% 47.63/16.97 cnf(d11, plain, less(n24,n25), inference(resolution, [status(thm)], [c689,d10])).
% 47.63/16.97 cnf(d12, plain, ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75), inference(resolution, [status(thm)], [d11,d5])).
% 47.63/16.97 cnf(d13, plain, ~'Ts21'(muslimcountrybhumanitarianorganization), inference(resolution, [status(thm)], [d12,c25])).
% 47.63/16.97 cnf(d14, plain, ~less(X0,n78) | 'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,X0), inference(resolution, [status(thm)], [c495,c5])).
% 47.63/16.97 cnf(d15, plain, 'accept$ucity'(X0,citya) | ~'accept$upopulation'(X0,atheist,n75) | ~'accept$upopulation'(X0,native,n0) | ~'accept$upopulation'(X0,muslim,n0) | ~'accept$upopulation'(X0,other,n0), inference(resolution, [status(thm)], [c710,c23])).
% 47.63/16.97 cnf(d16, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,citya) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,native,n0) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,muslim,n0), inference(resolution, [status(thm)], [d15,c382])).
% 47.63/16.97 cnf(d17, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,citya) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,native,n0), inference(resolution, [status(thm)], [c384,d16])).
% 47.63/16.97 cnf(d18, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,citya) | ~'accept$upopulation'(muslimcountrybhumanitarianorganization,atheist,n75), inference(resolution, [status(thm)], [c492,d17])).
% 47.63/16.97 cnf(d19, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,citya) | ~less(n75,n78), inference(resolution, [status(thm)], [d18,d14])).
% 47.63/16.97 cnf(d20, plain, less(X0,n78) | ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(X1,rdn(rdnn(n8),rdnn(n7))), inference(resolution, [status(thm)], [c700,c674])).
% 47.63/16.97 cnf(d21, plain, less(X0,n78) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(n7)))) | ~'rdn$upositive$uless'(rdnn(X1),rdnn(n8)) | ~'rdn$unon$uzero'(rdnn(n7)), inference(resolution, [status(thm)], [d20,c696])).
% 47.63/16.97 cnf(d22, plain, 'rdn$unon$uzero'(rdnn(n7)), inference(resolution, [status(thm)], [c698,c682])).
% 47.63/16.97 cnf(d23, plain, less(X0,n78) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(n7)))) | ~'rdn$upositive$uless'(rdnn(X1),rdnn(n8)), inference(resolution, [status(thm)], [d22,d21])).
% 47.63/16.97 cnf(d24, plain, less(n75,n78) | ~'rdn$upositive$uless'(rdnn(n5),rdnn(n8)), inference(resolution, [status(thm)], [d23,c673])).
% 47.63/16.97 cnf(d25, plain, 'rdn$upositive$uless'(rdnn(X0),rdnn(n7)) | ~'rdn$upositive$uless'(rdnn(X0),rdnn(n6)), inference(resolution, [status(thm)], [c694,c691])).
% 47.63/16.97 cnf(d26, plain, 'rdn$upositive$uless'(rdnn(n5),rdnn(n7)), inference(resolution, [status(thm)], [d25,c690])).
% 47.63/16.97 cnf(d27, plain, 'rdn$upositive$uless'(rdnn(X0),rdnn(n8)) | ~'rdn$upositive$uless'(rdnn(X0),rdnn(n7)), inference(resolution, [status(thm)], [c694,c692])).
% 47.63/16.97 cnf(d28, plain, 'rdn$upositive$uless'(rdnn(n5),rdnn(n8)), inference(resolution, [status(thm)], [d27,d26])).
% 47.63/16.97 cnf(d29, plain, less(n75,n78), inference(resolution, [status(thm)], [d28,d24])).
% 47.63/16.97 cnf(d30, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,citya), inference(resolution, [status(thm)], [d29,d19])).
% 47.63/16.97 cnf(d31, plain, 'Ts21'(muslimcountrybhumanitarianorganization), inference(resolution, [status(thm)], [d30,c24])).
% 47.63/16.97 cnf(d32, plain, $false, inference(resolution, [status(thm)], [d31,d13])).
% 47.63/16.97 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------