%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : AGT024+1 : 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 : n001.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 254.78s 52.13s
% Output : CNFRefutation 254.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT024+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.40 % Computer : n001.cluster.edu
% 0.14/5.40 % Model : x86_64 x86_64
% 0.14/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.40 % Memory : 8046.5625MB
% 0.14/5.40 % OS : Linux 6.8.0-71-generic
% 0.14/5.40 % CPULimit : 300
% 0.14/5.40 % WCLimit : 300
% 0.14/5.40 % DateTime : Sat Sep 26 21:01:05 UTC 2026
% 0.14/5.40 % CPUTime :
% 0.14/5.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 254.78/52.13 % SZS status Theorem for theBenchmark.p
% 254.78/52.13 % SZS output start CNFRefutation for theBenchmark.p
% 254.78/52.13 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)))))).
% 254.78/52.13 fof(a1_3, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('accept$upopulation'(X0,X3,X1) & less(X2,X1)) => 'accept$upopulation'(X0,X3,X2)))).
% 254.78/52.13 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)))).
% 254.78/52.13 fof(a2_12, axiom, ! [X0] : ((('accept$upopulation'(X0,atheist,n78) & ('accept$upopulation'(X0,christian,n20) & ('accept$upopulation'(X0,muslim,n1) & ('accept$upopulation'(X0,native,n0) & 'accept$upopulation'(X0,other,n1))))) <=> 'accept$ucity'(X0,cityb)))).
% 254.78/52.13 fof(event_8, axiom, 'accept$uteam'(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4)).
% 254.78/52.13 fof(event_100, axiom, 'accept$uteam'(muslimcountrybhumanitarianorganization,countrybcivilorganization,townc,n6)).
% 254.78/52.13 fof(event_174, axiom, ~'accept$uteam'(muslimcountrybhumanitarianorganization,countrybcivilorganization,towna,n2)).
% 254.78/52.13 fof(event_183, axiom, 'accept$unumber'(muslimcountrybhumanitarianorganization,n2)).
% 254.78/52.13 fof(rdn0, axiom, 'rdn$utranslate'(n0,'rdn$upos'(rdnn(n0)))).
% 254.78/52.13 fof(rdn1, axiom, 'rdn$utranslate'(n1,'rdn$upos'(rdnn(n1)))).
% 254.78/52.13 fof(rdn24, axiom, 'rdn$utranslate'(n24,'rdn$upos'(rdn(rdnn(n4),rdnn(n2))))).
% 254.78/52.13 fof(rdn25, axiom, 'rdn$utranslate'(n25,'rdn$upos'(rdn(rdnn(n5),rdnn(n2))))).
% 254.78/52.13 fof(rdn75, axiom, 'rdn$utranslate'(n75,'rdn$upos'(rdn(rdnn(n5),rdnn(n7))))).
% 254.78/52.13 fof(rdn78, axiom, 'rdn$utranslate'(n78,'rdn$upos'(rdn(rdnn(n8),rdnn(n7))))).
% 254.78/52.13 fof(rdn_digit2, axiom, 'rdn$unon$uzero$udigit'(rdnn(n2))).
% 254.78/52.13 fof(rdn_digit7, axiom, 'rdn$unon$uzero$udigit'(rdnn(n7))).
% 254.78/52.13 fof(rdn_positive_less01, axiom, 'rdn$upositive$uless'(rdnn(n0),rdnn(n1))).
% 254.78/52.13 fof(rdn_positive_less45, axiom, 'rdn$upositive$uless'(rdnn(n4),rdnn(n5))).
% 254.78/52.13 fof(rdn_positive_less56, axiom, 'rdn$upositive$uless'(rdnn(n5),rdnn(n6))).
% 254.78/52.13 fof(rdn_positive_less67, axiom, 'rdn$upositive$uless'(rdnn(n6),rdnn(n7))).
% 254.78/52.13 fof(rdn_positive_less78, axiom, 'rdn$upositive$uless'(rdnn(n7),rdnn(n8))).
% 254.78/52.13 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))))).
% 254.78/52.13 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))))).
% 254.78/52.13 fof(rdn_non_zero_by_digit, axiom, ! [X0] : (('rdn$unon$uzero$udigit'(rdnn(X0)) => 'rdn$unon$uzero'(rdnn(X0))))).
% 254.78/52.13 fof(less_entry_point_pos_pos, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('rdn$utranslate'(X0,'rdn$upos'(X2)) & ('rdn$utranslate'(X1,'rdn$upos'(X3)) & 'rdn$upositive$uless'(X2,X3))) => less(X0,X1)))).
% 254.78/52.13 fof(query_24, conjecture, ? [X0] : ~'accept$upopulation'(X0,christian,n25)).
% 254.78/52.13 fof(negated_conjecture, negated_conjecture, ~? [X0] : ~'accept$upopulation'(X0,christian,n25), inference(negate_conjecture, [status(cth)], [query_24])).
% 254.78/52.13 cnf(c0, plain, ~'accept$uteam'(X0,X1,X2,X3) | 'accept$ucity'(X0,X2), inference(clausification, [status(esa)], [a1_1])).
% 254.78/52.13 cnf(c2, plain, ~'accept$uteam'(X0,X1,X2,X3) | 'accept$uleader'(X0,X1), inference(clausification, [status(esa)], [a1_1])).
% 254.78/52.13 cnf(c3, plain, 'accept$uteam'(X0,X1,X2,X3) | ~'accept$uleader'(X0,X1) | ~'accept$unumber'(X0,X3) | ~'accept$ucity'(X0,X2), inference(clausification, [status(esa)], [a1_1])).
% 254.78/52.13 cnf(c5, plain, ~less(X0,X1) | ~'accept$upopulation'(X2,X3,X1) | 'accept$upopulation'(X2,X3,X0), inference(clausification, [status(esa)], [a1_3])).
% 254.78/52.13 cnf(c38, plain, ~'accept$upopulation'(X0,other,n0) | ~'accept$upopulation'(X0,atheist,n75) | ~'accept$upopulation'(X0,native,n0) | ~'accept$upopulation'(X0,muslim,n1) | ~'accept$upopulation'(X0,christian,n24) | 'accept$ucity'(X0,towna), inference(clausification, [status(esa)], [a2_9])).
% 254.78/52.13 cnf(c60, plain, X0(X1) | ~'accept$ucity'(X1,cityb), inference(clausification, [status(esa)], [a2_12])).
% 254.78/52.13 cnf(c61, plain, ~X0(X1) | 'accept$upopulation'(X1,atheist,n78), inference(clausification, [status(esa)], [a2_12])).
% 254.78/52.13 cnf(c62, plain, ~X0(X1) | 'accept$upopulation'(X1,muslim,n1), inference(clausification, [status(esa)], [a2_12])).
% 254.78/52.13 cnf(c63, plain, ~X0(X1) | 'accept$upopulation'(X1,other,n1), inference(clausification, [status(esa)], [a2_12])).
% 254.78/52.13 cnf(c64, plain, ~X0(X1) | 'accept$upopulation'(X1,native,n0), inference(clausification, [status(esa)], [a2_12])).
% 254.78/52.13 cnf(c80, plain, 'accept$uteam'(muslimcountrybhumanitarianorganization,countrybhumanitarianorganization,cityb,n4), inference(clausification, [status(esa)], [event_8])).
% 254.78/52.13 cnf(c172, plain, 'accept$uteam'(muslimcountrybhumanitarianorganization,countrybcivilorganization,townc,n6), inference(clausification, [status(esa)], [event_100])).
% 254.78/52.13 cnf(c246, plain, ~'accept$uteam'(muslimcountrybhumanitarianorganization,countrybcivilorganization,towna,n2), inference(clausification, [status(esa)], [event_174])).
% 254.78/52.13 cnf(c255, plain, 'accept$unumber'(muslimcountrybhumanitarianorganization,n2), inference(clausification, [status(esa)], [event_183])).
% 254.78/52.13 cnf(c322, plain, 'rdn$utranslate'(n0,'rdn$upos'(rdnn(n0))), inference(clausification, [status(esa)], [rdn0])).
% 254.78/52.13 cnf(c323, plain, 'rdn$utranslate'(n1,'rdn$upos'(rdnn(n1))), inference(clausification, [status(esa)], [rdn1])).
% 254.78/52.13 cnf(c336, plain, 'rdn$utranslate'(n24,'rdn$upos'(rdn(rdnn(n4),rdnn(n2)))), inference(clausification, [status(esa)], [rdn24])).
% 254.78/52.13 cnf(c337, plain, 'rdn$utranslate'(n25,'rdn$upos'(rdn(rdnn(n5),rdnn(n2)))), inference(clausification, [status(esa)], [rdn25])).
% 254.78/52.13 cnf(c342, plain, 'rdn$utranslate'(n75,'rdn$upos'(rdn(rdnn(n5),rdnn(n7)))), inference(clausification, [status(esa)], [rdn75])).
% 254.78/52.13 cnf(c343, plain, 'rdn$utranslate'(n78,'rdn$upos'(rdn(rdnn(n8),rdnn(n7)))), inference(clausification, [status(esa)], [rdn78])).
% 254.78/52.13 cnf(c345, plain, 'rdn$unon$uzero$udigit'(rdnn(n2)), inference(clausification, [status(esa)], [rdn_digit2])).
% 254.78/52.13 cnf(c350, plain, 'rdn$unon$uzero$udigit'(rdnn(n7)), inference(clausification, [status(esa)], [rdn_digit7])).
% 254.78/52.13 cnf(c353, plain, 'rdn$upositive$uless'(rdnn(n0),rdnn(n1)), inference(clausification, [status(esa)], [rdn_positive_less01])).
% 254.78/52.13 cnf(c357, plain, 'rdn$upositive$uless'(rdnn(n4),rdnn(n5)), inference(clausification, [status(esa)], [rdn_positive_less45])).
% 254.78/52.13 cnf(c358, plain, 'rdn$upositive$uless'(rdnn(n5),rdnn(n6)), inference(clausification, [status(esa)], [rdn_positive_less56])).
% 254.78/52.13 cnf(c359, plain, 'rdn$upositive$uless'(rdnn(n6),rdnn(n7)), inference(clausification, [status(esa)], [rdn_positive_less67])).
% 254.78/52.13 cnf(c360, plain, 'rdn$upositive$uless'(rdnn(n7),rdnn(n8)), inference(clausification, [status(esa)], [rdn_positive_less78])).
% 254.78/52.13 cnf(c362, 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])).
% 254.78/52.13 cnf(c364, 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])).
% 254.78/52.13 cnf(c366, plain, ~'rdn$unon$uzero$udigit'(rdnn(X0)) | 'rdn$unon$uzero'(rdnn(X0)), inference(clausification, [status(esa)], [rdn_non_zero_by_digit])).
% 254.78/52.13 cnf(c368, plain, ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(X2,X1) | ~'rdn$utranslate'(X3,'rdn$upos'(X2)) | less(X3,X0), inference(clausification, [status(esa)], [less_entry_point_pos_pos])).
% 254.78/52.13 cnf(c378, plain, 'accept$upopulation'(X0,christian,n25), inference(clausification, [status(esa)], [negated_conjecture])).
% 254.78/52.13 cnf(d0, plain, ~'accept$ucity'(muslimcountrybhumanitarianorganization,towna) | ~'accept$unumber'(muslimcountrybhumanitarianorganization,n2) | ~'accept$uleader'(muslimcountrybhumanitarianorganization,countrybcivilorganization), inference(resolution, [status(thm)], [c246,c3])).
% 254.78/52.13 cnf(d1, plain, ~'accept$ucity'(muslimcountrybhumanitarianorganization,towna) | ~'accept$uleader'(muslimcountrybhumanitarianorganization,countrybcivilorganization), inference(resolution, [status(thm)], [c255,d0])).
% 254.78/52.13 cnf(d2, plain, 'accept$uleader'(muslimcountrybhumanitarianorganization,countrybcivilorganization), inference(resolution, [status(thm)], [c172,c2])).
% 254.78/52.13 cnf(d3, plain, ~'accept$ucity'(muslimcountrybhumanitarianorganization,towna), inference(resolution, [status(thm)], [d2,d1])).
% 254.78/52.13 cnf(d4, plain, ~'Ts34'(X0) | ~less(X1,n1) | 'accept$upopulation'(X0,other,X1), inference(resolution, [status(thm)], [c63,c5])).
% 254.78/52.13 cnf(d5, plain, ~less(X0,n25) | 'accept$upopulation'(X1,christian,X0), inference(resolution, [status(thm)], [c378,c5])).
% 254.78/52.13 cnf(d6, plain, ~'Ts34'(X0) | ~less(X1,n78) | 'accept$upopulation'(X0,atheist,X1), inference(resolution, [status(thm)], [c61,c5])).
% 254.78/52.13 cnf(d7, plain, ~'Ts34'(X0) | 'accept$ucity'(X0,towna) | ~'accept$upopulation'(X0,other,n0) | ~'accept$upopulation'(X0,christian,n24) | ~'accept$upopulation'(X0,native,n0) | ~'accept$upopulation'(X0,atheist,n75), inference(resolution, [status(thm)], [c62,c38])).
% 254.78/52.13 cnf(d8, plain, 'accept$ucity'(X0,towna) | ~'accept$upopulation'(X0,other,n0) | ~'accept$upopulation'(X0,christian,n24) | ~'accept$upopulation'(X0,native,n0) | ~'Ts34'(X0) | ~less(n75,n78) | ~'Ts34'(X0), inference(resolution, [status(thm)], [d7,d6])).
% 254.78/52.13 cnf(d9, plain, 'accept$ucity'(X0,towna) | ~less(n75,n78) | ~'accept$upopulation'(X0,other,n0) | ~'accept$upopulation'(X0,christian,n24) | ~'Ts34'(X0) | ~'Ts34'(X0), inference(resolution, [status(thm)], [d8,c64])).
% 254.78/52.13 cnf(d10, plain, 'accept$ucity'(X0,towna) | ~less(n75,n78) | ~'accept$upopulation'(X0,other,n0) | ~'Ts34'(X0) | ~less(n24,n25), inference(resolution, [status(thm)], [d9,d5])).
% 254.78/52.13 cnf(d11, plain, less(n75,X0) | ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(rdn(rdnn(n5),rdnn(n7)),X1), inference(resolution, [status(thm)], [c368,c342])).
% 254.78/52.13 cnf(d12, plain, less(n75,X0) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(n7)))) | ~'rdn$upositive$uless'(rdnn(n5),rdnn(X1)) | ~'rdn$unon$uzero'(rdnn(n7)), inference(resolution, [status(thm)], [d11,c364])).
% 254.78/52.13 cnf(d13, plain, 'rdn$unon$uzero'(rdnn(n7)), inference(resolution, [status(thm)], [c366,c350])).
% 254.78/52.13 cnf(d14, plain, less(n75,X0) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(n7)))) | ~'rdn$upositive$uless'(rdnn(n5),rdnn(X1)), inference(resolution, [status(thm)], [d13,d12])).
% 254.78/52.13 cnf(d15, plain, less(n75,n78) | ~'rdn$upositive$uless'(rdnn(n5),rdnn(n8)), inference(resolution, [status(thm)], [d14,c343])).
% 254.78/52.13 cnf(d16, plain, 'rdn$upositive$uless'(rdnn(X0),rdnn(n8)) | ~'rdn$upositive$uless'(rdnn(X0),rdnn(n7)), inference(resolution, [status(thm)], [c362,c360])).
% 254.78/52.13 cnf(d17, plain, 'rdn$upositive$uless'(rdnn(X0),rdnn(n7)) | ~'rdn$upositive$uless'(rdnn(X0),rdnn(n6)), inference(resolution, [status(thm)], [c362,c359])).
% 254.78/52.13 cnf(d18, plain, 'rdn$upositive$uless'(rdnn(n5),rdnn(n7)), inference(resolution, [status(thm)], [d17,c358])).
% 254.78/52.13 cnf(d19, plain, 'rdn$upositive$uless'(rdnn(n5),rdnn(n8)), inference(resolution, [status(thm)], [d18,d16])).
% 254.78/52.13 cnf(d20, plain, less(n75,n78), inference(resolution, [status(thm)], [d19,d15])).
% 254.78/52.13 cnf(d21, plain, 'accept$ucity'(X0,towna) | ~less(n24,n25) | ~'accept$upopulation'(X0,other,n0) | ~'Ts34'(X0), inference(resolution, [status(thm)], [d20,d10])).
% 254.78/52.13 cnf(d22, plain, less(n24,X0) | ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(rdn(rdnn(n4),rdnn(n2)),X1), inference(resolution, [status(thm)], [c368,c336])).
% 254.78/52.13 cnf(d23, plain, less(n24,X0) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(n2)))) | ~'rdn$upositive$uless'(rdnn(n4),rdnn(X1)) | ~'rdn$unon$uzero'(rdnn(n2)), inference(resolution, [status(thm)], [d22,c364])).
% 254.78/52.13 cnf(d24, plain, 'rdn$unon$uzero'(rdnn(n2)), inference(resolution, [status(thm)], [c366,c345])).
% 254.78/52.13 cnf(d25, plain, less(n24,X0) | ~'rdn$utranslate'(X0,'rdn$upos'(rdn(rdnn(X1),rdnn(n2)))) | ~'rdn$upositive$uless'(rdnn(n4),rdnn(X1)), inference(resolution, [status(thm)], [d24,d23])).
% 254.78/52.13 cnf(d26, plain, less(n24,n25) | ~'rdn$upositive$uless'(rdnn(n4),rdnn(n5)), inference(resolution, [status(thm)], [d25,c337])).
% 254.78/52.13 cnf(d27, plain, less(n24,n25), inference(resolution, [status(thm)], [c357,d26])).
% 254.78/52.13 cnf(d28, plain, 'accept$ucity'(X0,towna) | ~'accept$upopulation'(X0,other,n0) | ~'Ts34'(X0), inference(resolution, [status(thm)], [d27,d21])).
% 254.78/52.13 cnf(d29, plain, 'accept$ucity'(X0,towna) | ~'Ts34'(X0) | ~less(n0,n1) | ~'Ts34'(X0), inference(resolution, [status(thm)], [d28,d4])).
% 254.78/52.13 cnf(d30, plain, less(n0,X0) | ~'rdn$utranslate'(X0,'rdn$upos'(X1)) | ~'rdn$upositive$uless'(rdnn(n0),X1), inference(resolution, [status(thm)], [c368,c322])).
% 254.78/52.13 cnf(d31, plain, less(n0,X0) | ~'rdn$utranslate'(X0,'rdn$upos'(rdnn(n1))), inference(resolution, [status(thm)], [d30,c353])).
% 254.78/52.13 cnf(d32, plain, less(n0,n1), inference(resolution, [status(thm)], [d31,c323])).
% 254.78/52.13 cnf(d33, plain, 'accept$ucity'(X0,towna) | ~'Ts34'(X0), inference(resolution, [status(thm)], [d32,d29])).
% 254.78/52.13 cnf(d34, plain, ~'Ts34'(muslimcountrybhumanitarianorganization), inference(resolution, [status(thm)], [d33,d3])).
% 254.78/52.13 cnf(d35, plain, 'accept$ucity'(muslimcountrybhumanitarianorganization,cityb), inference(resolution, [status(thm)], [c80,c0])).
% 254.78/52.13 cnf(d36, plain, 'Ts34'(muslimcountrybhumanitarianorganization), inference(resolution, [status(thm)], [d35,c60])).
% 254.78/52.13 cnf(d37, plain, $false, inference(resolution, [status(thm)], [d36,d34])).
% 254.78/52.13 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------