%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO259+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 07:15:00 AM UTC 2026
% Result : Theorem 28.73s 21.33s
% Output : CNFRefutation 28.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO259+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 : Fri Sep 25 13:11:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.73/21.33 % SZS status Theorem for theBenchmark.p
% 28.73/21.33 % SZS output start CNFRefutation for theBenchmark.p
% 28.73/21.33 fof(bf_def, axiom, ! [X0] : ! [X1] : ! [X2] : (('before$uon$uline'(X0,X1,X2) <=> ('distinct$upoints'(X1,X2) & (~(('left$uapart$upoint'(X1,X0) | 'left$uapart$upoint'(X1,'reverse$uline'(X0)))) & (~(('left$uapart$upoint'(X2,X0) | 'left$uapart$upoint'(X2,'reverse$uline'(X0)))) & ~'unequally$udirected$ulines'(X0,'line$uconnecting'(X1,X2)))))))).
% 28.73/21.33 fof(oag1, axiom, ! [X0] : ~'distinct$upoints'(X0,X0)).
% 28.73/21.33 fof(oag2, axiom, ! [X0] : ! [X1] : ! [X2] : (('distinct$upoints'(X0,X1) => ('distinct$upoints'(X0,X2) | 'distinct$upoints'(X1,X2))))).
% 28.73/21.33 fof(oag5, axiom, ! [X0] : ~'unequally$udirected$ulines'(X0,X0)).
% 28.73/21.33 fof(oag6, axiom, ! [X0] : ! [X1] : ! [X2] : (('unequally$udirected$ulines'(X0,X1) => ('unequally$udirected$ulines'(X0,X2) | 'unequally$udirected$ulines'(X1,X2))))).
% 28.73/21.33 fof(oag8, axiom, ! [X0] : ! [X1] : (((line(X0) & line(X1)) => ('unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)))))).
% 28.73/21.33 fof(oag9, axiom, ! [X0] : ! [X1] : ((('unequally$udirected$ulines'(X0,X1) & 'unequally$udirected$ulines'(X0,'reverse$uline'(X1))) => ('left$uconvergent$ulines'(X0,X1) | 'left$uconvergent$ulines'(X0,'reverse$uline'(X1)))))).
% 28.73/21.33 fof(oag10, axiom, ! [X0] : ! [X1] : ~(('left$uapart$upoint'(X0,X1) | 'left$uapart$upoint'(X0,'reverse$uline'(X1))))).
% 28.73/21.33 fof(oag11, axiom, ! [X0] : ! [X1] : ~(('left$uconvergent$ulines'(X0,X1) | 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))))).
% 28.73/21.33 fof(oagco9, axiom, ! [X0] : ! [X1] : ~'unequally$udirected$ulines'('line$uconnecting'(X0,X1),'reverse$uline'('line$uconnecting'(X1,X0)))).
% 28.73/21.33 fof(con, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((line(X0) & ('distinct$upoints'(X1,X3) & ('distinct$upoints'(X2,X3) & 'distinct$upoints'(X1,X2)))) => ~(('between$uon$uline'(X0,X1,X2,X3) & 'between$uon$uline'(X0,X2,X1,X3)))))).
% 28.73/21.33 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (((line(X0) & ('distinct$upoints'(X1,X3) & ('distinct$upoints'(X2,X3) & 'distinct$upoints'(X1,X2)))) => ~(('between$uon$uline'(X0,X1,X2,X3) & 'between$uon$uline'(X0,X2,X1,X3))))), inference(negate_conjecture, [status(cth)], [con])).
% 28.73/21.33 cnf(c21, plain, ~X0(X1,X2,X3) | ~'unequally$udirected$ulines'(X3,'line$uconnecting'(X1,X2)), inference(clausification, [status(esa)], [bf_def])).
% 28.73/21.33 cnf(c22, plain, 'unequally$udirected$ulines'(X0,'line$uconnecting'(X1,X2)) | 'left$uapart$upoint'(X1,'reverse$uline'(X0)) | 'left$uapart$upoint'(X2,'reverse$uline'(X0)) | ~'distinct$upoints'(X1,X2) | X3(X1,X2,X0) | 'left$uapart$upoint'(X2,X0) | 'left$uapart$upoint'(X1,X0), inference(clausification, [status(esa)], [bf_def])).
% 28.73/21.33 cnf(c31, plain, ~'distinct$upoints'(X0,X0), inference(clausification, [status(esa)], [oag1])).
% 28.73/21.33 cnf(c32, plain, ~'distinct$upoints'(X0,X1) | 'distinct$upoints'(X0,X2) | 'distinct$upoints'(X1,X2), inference(clausification, [status(esa)], [oag2])).
% 28.73/21.33 cnf(c35, plain, ~'unequally$udirected$ulines'(X0,X0), inference(clausification, [status(esa)], [oag5])).
% 28.73/21.33 cnf(c36, plain, ~'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'(X0,X2) | 'unequally$udirected$ulines'(X1,X2), inference(clausification, [status(esa)], [oag6])).
% 28.73/21.33 cnf(c41, plain, ~line(X0) | ~line(X1) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)), inference(clausification, [status(esa)], [oag8])).
% 28.73/21.33 cnf(c42, plain, ~'unequally$udirected$ulines'(X0,X1) | ~'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'left$uconvergent$ulines'(X0,X1) | 'left$uconvergent$ulines'(X0,'reverse$uline'(X1)), inference(clausification, [status(esa)], [oag9])).
% 28.73/21.33 cnf(c43, plain, ~'left$uapart$upoint'(X0,X1), inference(clausification, [status(esa)], [oag10])).
% 28.73/21.33 cnf(c45, plain, ~'left$uconvergent$ulines'(X0,X1), inference(clausification, [status(esa)], [oag11])).
% 28.73/21.33 cnf(c57, plain, ~'unequally$udirected$ulines'('line$uconnecting'(X0,X1),'reverse$uline'('line$uconnecting'(X1,X0))), inference(clausification, [status(esa)], [oagco9])).
% 28.73/21.33 cnf(c64, plain, line(sK74), inference(clausification, [status(esa)], [negated_conjecture])).
% 28.73/21.33 cnf(c66, plain, 'distinct$upoints'(sK76,sK77), inference(clausification, [status(esa)], [negated_conjecture])).
% 28.73/21.33 cnf(d0, plain, 'unequally$udirected$ulines'(X0,X1) | ~line(X0) | ~line(X1) | 'unequally$udirected$ulines'('reverse$uline'(X1),X2) | 'unequally$udirected$ulines'(X0,X2), inference(resolution, [status(thm)], [c41,c36])).
% 28.73/21.33 cnf(d1, plain, 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('reverse$uline'(X0),X1) | ~line(X0) | ~line(X0), inference(resolution, [status(thm)], [d0,c35])).
% 28.73/21.33 cnf(d2, plain, 'unequally$udirected$ulines'(X0,'line$uconnecting'(X1,X2)) | ~line(X0) | ~'Ts8'(X1,X2,'reverse$uline'(X0)), inference(resolution, [status(thm)], [d1,c21])).
% 28.73/21.33 cnf(d3, plain, 'left$uapart$upoint'(X0,'reverse$uline'(X1)) | 'left$uapart$upoint'(X2,X1) | 'left$uapart$upoint'(X2,'reverse$uline'(X1)) | 'unequally$udirected$ulines'(X1,'line$uconnecting'(X2,X0)) | 'Ts8'(X2,X0,X1) | ~'distinct$upoints'(X2,X0), inference(resolution, [status(thm)], [c43,c22])).
% 28.73/21.33 cnf(d4, plain, 'unequally$udirected$ulines'('line$uconnecting'(X0,X1),X2) | 'unequally$udirected$ulines'(X3,X2) | 'left$uapart$upoint'(X0,X3) | 'left$uapart$upoint'(X0,'reverse$uline'(X3)) | 'left$uapart$upoint'(X1,'reverse$uline'(X3)) | 'Ts8'(X0,X1,X3) | ~'distinct$upoints'(X0,X1), inference(resolution, [status(thm)], [c36,d3])).
% 28.73/21.33 cnf(d5, plain, 'left$uapart$upoint'(X0,X1) | 'left$uapart$upoint'(X0,'reverse$uline'(X1)) | 'unequally$udirected$ulines'(X1,X2) | 'unequally$udirected$ulines'('line$uconnecting'(X0,X3),X2) | 'Ts8'(X0,X3,X1) | ~'distinct$upoints'(X0,X3), inference(resolution, [status(thm)], [c43,d4])).
% 28.73/21.33 cnf(d6, plain, 'left$uapart$upoint'(sK76,X0) | 'left$uapart$upoint'(sK76,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK76,sK77),X1) | 'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [d5,c66])).
% 28.73/21.33 cnf(d7, plain, 'left$uapart$upoint'(sK76,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK76,sK77),X1) | 'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [c43,d6])).
% 28.73/21.33 cnf(d8, plain, 'left$uapart$upoint'(sK76,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'Ts8'(sK76,sK77,X0) | 'unequally$udirected$ulines'(X1,X2) | 'unequally$udirected$ulines'('line$uconnecting'(sK76,sK77),X2), inference(resolution, [status(thm)], [d7,c36])).
% 28.73/21.33 cnf(d9, plain, 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'(X2,X0) | 'unequally$udirected$ulines'('line$uconnecting'(sK76,sK77),X1) | 'Ts8'(sK76,sK77,X2), inference(resolution, [status(thm)], [c43,d8])).
% 28.73/21.33 cnf(d10, plain, 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'(X1,'line$uconnecting'(sK76,sK77)) | 'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [d9,c35])).
% 28.73/21.33 cnf(d11, plain, 'unequally$udirected$ulines'(X0,X1) | 'Ts8'(sK76,sK77,X0) | ~'Ts8'(sK76,sK77,X1), inference(resolution, [status(thm)], [d10,c21])).
% 28.73/21.33 cnf(d12, plain, 'distinct$upoints'(sK77,X0) | 'distinct$upoints'(sK76,X0), inference(resolution, [status(thm)], [c32,c66])).
% 28.73/21.33 cnf(d13, plain, 'distinct$upoints'(sK77,sK76), inference(resolution, [status(thm)], [d12,c31])).
% 28.73/21.33 cnf(d14, plain, 'left$uapart$upoint'(sK77,X0) | 'left$uapart$upoint'(sK77,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK77,sK76),X1) | 'Ts8'(sK77,sK76,X0), inference(resolution, [status(thm)], [d5,d13])).
% 28.73/21.33 cnf(d15, plain, 'left$uapart$upoint'(sK77,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK77,sK76),X1) | 'Ts8'(sK77,sK76,X0), inference(resolution, [status(thm)], [c43,d14])).
% 28.73/21.33 cnf(d16, plain, 'left$uapart$upoint'(sK77,'reverse$uline'(X0)) | 'unequally$udirected$ulines'('line$uconnecting'(sK77,sK76),X0) | 'Ts8'(sK77,sK76,X0), inference(resolution, [status(thm)], [d15,c35])).
% 28.73/21.33 cnf(d17, plain, 'unequally$udirected$ulines'('line$uconnecting'(sK77,sK76),X0) | 'Ts8'(sK77,sK76,X0), inference(resolution, [status(thm)], [c43,d16])).
% 28.73/21.33 cnf(d18, plain, ~'unequally$udirected$ulines'(X0,X1) | ~'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'left$uconvergent$ulines'(X0,'reverse$uline'(X1)), inference(resolution, [status(thm)], [c45,c42])).
% 28.73/21.33 cnf(d19, plain, 'left$uapart$upoint'(sK77,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'Ts8'(sK77,sK76,X0) | ~'unequally$udirected$ulines'('line$uconnecting'(sK77,sK76),X1) | 'left$uconvergent$ulines'('line$uconnecting'(sK77,sK76),'reverse$uline'(X1)), inference(resolution, [status(thm)], [d15,d18])).
% 28.73/21.33 cnf(d20, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | ~'unequally$udirected$ulines'('line$uconnecting'(sK77,sK76),X1) | 'Ts8'(sK77,sK76,X0) | 'left$uconvergent$ulines'('line$uconnecting'(sK77,sK76),'reverse$uline'(X1)), inference(resolution, [status(thm)], [c43,d19])).
% 28.73/21.33 cnf(d21, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | ~'unequally$udirected$ulines'('line$uconnecting'(sK77,sK76),X1) | 'Ts8'(sK77,sK76,X0), inference(resolution, [status(thm)], [c45,d20])).
% 28.73/21.33 cnf(d22, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'Ts8'(sK77,sK76,X0) | 'Ts8'(sK77,sK76,X1), inference(resolution, [status(thm)], [d21,d17])).
% 28.73/21.33 cnf(d23, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X0)) | 'Ts8'(sK77,sK76,X0), inference(factoring, [status(thm)], [d22])).
% 28.73/21.33 cnf(d24, plain, 'Ts8'(sK77,sK76,'line$uconnecting'(X0,X0)), inference(resolution, [status(thm)], [d23,c57])).
% 28.73/21.33 cnf(d25, plain, 'left$uapart$upoint'(sK76,'reverse$uline'(X0)) | 'unequally$udirected$ulines'('line$uconnecting'(sK76,sK77),X0) | 'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [d7,c35])).
% 28.73/21.33 cnf(d26, plain, 'unequally$udirected$ulines'('line$uconnecting'(sK76,sK77),X0) | 'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [c43,d25])).
% 28.73/21.33 cnf(d27, plain, 'left$uapart$upoint'(sK76,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'Ts8'(sK76,sK77,X0) | ~'unequally$udirected$ulines'('line$uconnecting'(sK76,sK77),X1) | 'left$uconvergent$ulines'('line$uconnecting'(sK76,sK77),'reverse$uline'(X1)), inference(resolution, [status(thm)], [d7,d18])).
% 28.73/21.33 cnf(d28, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | ~'unequally$udirected$ulines'('line$uconnecting'(sK76,sK77),X1) | 'Ts8'(sK76,sK77,X0) | 'left$uconvergent$ulines'('line$uconnecting'(sK76,sK77),'reverse$uline'(X1)), inference(resolution, [status(thm)], [c43,d27])).
% 28.73/21.33 cnf(d29, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | ~'unequally$udirected$ulines'('line$uconnecting'(sK76,sK77),X1) | 'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [c45,d28])).
% 28.73/21.33 cnf(d30, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'Ts8'(sK76,sK77,X0) | 'Ts8'(sK76,sK77,X1), inference(resolution, [status(thm)], [d29,d26])).
% 28.73/21.33 cnf(d31, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X0)) | 'Ts8'(sK76,sK77,X0), inference(factoring, [status(thm)], [d30])).
% 28.73/21.33 cnf(d32, plain, 'Ts8'(sK76,sK77,'line$uconnecting'(X0,X0)), inference(resolution, [status(thm)], [d31,c57])).
% 28.73/21.33 cnf(d33, plain, 'unequally$udirected$ulines'(X0,'line$uconnecting'(X1,X1)) | 'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [d32,d11])).
% 28.73/21.33 cnf(d34, plain, 'Ts8'(sK76,sK77,X0) | 'unequally$udirected$ulines'('line$uconnecting'(X1,X1),X2) | 'unequally$udirected$ulines'(X0,X2), inference(resolution, [status(thm)], [d33,c36])).
% 28.73/21.33 cnf(d35, plain, 'unequally$udirected$ulines'('line$uconnecting'(X0,X0),X1) | 'Ts8'(sK76,sK77,X1), inference(resolution, [status(thm)], [d34,c35])).
% 28.73/21.33 cnf(d36, plain, 'Ts8'(sK76,sK77,'line$uconnecting'(X0,X1)) | ~'Ts8'(X0,X1,'line$uconnecting'(X2,X2)), inference(resolution, [status(thm)], [d35,c21])).
% 28.73/21.33 cnf(d37, plain, 'Ts8'(sK76,sK77,'line$uconnecting'(sK77,sK76)), inference(resolution, [status(thm)], [d36,d24])).
% 28.73/21.33 cnf(d38, plain, 'unequally$udirected$ulines'(X0,'line$uconnecting'(sK77,sK76)) | 'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [d37,d11])).
% 28.73/21.33 cnf(d39, plain, 'left$uapart$upoint'(sK76,X0) | 'left$uapart$upoint'(sK76,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK76,X2),X1) | 'Ts8'(sK76,X2,X0) | 'distinct$upoints'(sK77,X2), inference(resolution, [status(thm)], [d5,d12])).
% 28.73/21.33 cnf(d40, plain, 'left$uapart$upoint'(sK76,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK76,X2),X1) | 'Ts8'(sK76,X2,X0) | 'distinct$upoints'(sK77,X2), inference(resolution, [status(thm)], [c43,d39])).
% 28.73/21.33 cnf(d41, plain, 'left$uapart$upoint'(sK76,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,'reverse$uline'('line$uconnecting'(X1,sK76))) | 'Ts8'(sK76,X1,X0) | 'distinct$upoints'(sK77,X1), inference(resolution, [status(thm)], [d40,c57])).
% 28.73/21.33 cnf(d42, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'('line$uconnecting'(X1,sK76))) | 'Ts8'(sK76,X1,X0) | 'distinct$upoints'(sK77,X1), inference(resolution, [status(thm)], [c43,d41])).
% 28.73/21.33 cnf(d43, plain, 'Ts8'(sK76,X0,X1) | 'distinct$upoints'(sK77,X0) | ~'unequally$udirected$ulines'(X1,'line$uconnecting'(X0,sK76)) | 'left$uconvergent$ulines'(X1,'reverse$uline'('line$uconnecting'(X0,sK76))), inference(resolution, [status(thm)], [d42,d18])).
% 28.73/21.33 cnf(d44, plain, ~'unequally$udirected$ulines'(X0,'line$uconnecting'(X1,sK76)) | 'Ts8'(sK76,X1,X0) | 'distinct$upoints'(sK77,X1), inference(resolution, [status(thm)], [c45,d43])).
% 28.73/21.33 cnf(d45, plain, 'Ts8'(sK76,sK77,X0) | 'distinct$upoints'(sK77,sK77) | 'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [d44,d38])).
% 28.73/21.33 cnf(d46, plain, 'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [c31,d45])).
% 28.73/21.33 cnf(d47, plain, 'unequally$udirected$ulines'(X0,'line$uconnecting'(sK76,sK77)) | ~line(X0), inference(resolution, [status(thm)], [d46,d2])).
% 28.73/21.33 cnf(d48, plain, ~line(X0) | ~'Ts8'(sK76,sK77,X0), inference(resolution, [status(thm)], [d47,c21])).
% 28.73/21.33 cnf(d49, plain, ~line(X0), inference(resolution, [status(thm)], [d46,d48])).
% 28.73/21.33 cnf(d50, plain, $false, inference(resolution, [status(thm)], [d49,c64])).
% 28.73/21.33 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------