%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO230+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 : n002.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 07:14:52 AM UTC 2026
% Result : Theorem 134.03s 36.71s
% Output : CNFRefutation 134.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO230+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
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Fri Sep 25 13:11:05 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 134.03/36.71 % SZS status Theorem for theBenchmark.p
% 134.03/36.71 % SZS output start CNFRefutation for theBenchmark.p
% 134.03/36.71 fof(con_def, axiom, ! [X0] : ! [X1] : (('convergent$ulines'(X0,X1) <=> ('unequally$udirected$ulines'(X0,X1) & 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)))))).
% 134.03/36.71 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)))))))).
% 134.03/36.71 fof(oag1, axiom, ! [X0] : ~'distinct$upoints'(X0,X0)).
% 134.03/36.71 fof(oag2, axiom, ! [X0] : ! [X1] : ! [X2] : (('distinct$upoints'(X0,X1) => ('distinct$upoints'(X0,X2) | 'distinct$upoints'(X1,X2))))).
% 134.03/36.71 fof(oag5, axiom, ! [X0] : ~'unequally$udirected$ulines'(X0,X0)).
% 134.03/36.71 fof(oag6, axiom, ! [X0] : ! [X1] : ! [X2] : (('unequally$udirected$ulines'(X0,X1) => ('unequally$udirected$ulines'(X0,X2) | 'unequally$udirected$ulines'(X1,X2))))).
% 134.03/36.71 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)))))).
% 134.03/36.71 fof(oag10, axiom, ! [X0] : ! [X1] : ~(('left$uapart$upoint'(X0,X1) | 'left$uapart$upoint'(X0,'reverse$uline'(X1))))).
% 134.03/36.71 fof(oag11, axiom, ! [X0] : ! [X1] : ~(('left$uconvergent$ulines'(X0,X1) | 'left$uconvergent$ulines'(X0,'reverse$uline'(X1))))).
% 134.03/36.71 fof(oagco9, axiom, ! [X0] : ! [X1] : ~'unequally$udirected$ulines'('line$uconnecting'(X0,X1),'reverse$uline'('line$uconnecting'(X1,X0)))).
% 134.03/36.71 fof(oaguc1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((('distinct$upoints'(X0,X1) & 'distinct$ulines'(X2,X3)) => ('left$uapart$upoint'(X0,X2) | ('left$uapart$upoint'(X1,X2) | ('left$uapart$upoint'(X0,X3) | ('left$uapart$upoint'(X1,X3) | ('left$uapart$upoint'(X0,'reverse$uline'(X2)) | ('left$uapart$upoint'(X1,'reverse$uline'(X2)) | ('left$uapart$upoint'(X0,'reverse$uline'(X3)) | 'left$uapart$upoint'(X1,'reverse$uline'(X3)))))))))))).
% 134.03/36.71 fof(con, conjecture, ! [X0] : ! [X1] : (('distinct$upoints'(X0,X1) => (~'distinct$ulines'('line$uconnecting'(X0,X1),'line$uconnecting'(X1,X0)) & ~'unequally$udirected$ulines'('line$uconnecting'(X1,X0),'line$uconnecting'(X0,X1)))))).
% 134.03/36.71 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (('distinct$upoints'(X0,X1) => (~'distinct$ulines'('line$uconnecting'(X0,X1),'line$uconnecting'(X1,X0)) & ~'unequally$udirected$ulines'('line$uconnecting'(X1,X0),'line$uconnecting'(X0,X1))))), inference(negate_conjecture, [status(cth)], [con])).
% 134.03/36.71 cnf(c4, plain, ~'convergent$ulines'(X0,X1) | 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)), inference(clausification, [status(esa)], [con_def])).
% 134.03/36.71 cnf(c5, plain, 'convergent$ulines'(X0,X1) | ~'unequally$udirected$ulines'(X0,X1) | ~'unequally$udirected$ulines'(X0,'reverse$uline'(X1)), inference(clausification, [status(esa)], [con_def])).
% 134.03/36.71 cnf(c21, plain, ~X0(X1,X2,X3) | ~'unequally$udirected$ulines'(X3,'line$uconnecting'(X1,X2)), inference(clausification, [status(esa)], [bf_def])).
% 134.03/36.71 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])).
% 134.03/36.71 cnf(c31, plain, ~'distinct$upoints'(X0,X0), inference(clausification, [status(esa)], [oag1])).
% 134.03/36.71 cnf(c32, plain, ~'distinct$upoints'(X0,X1) | 'distinct$upoints'(X0,X2) | 'distinct$upoints'(X1,X2), inference(clausification, [status(esa)], [oag2])).
% 134.03/36.71 cnf(c35, plain, ~'unequally$udirected$ulines'(X0,X0), inference(clausification, [status(esa)], [oag5])).
% 134.03/36.71 cnf(c36, plain, ~'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'(X0,X2) | 'unequally$udirected$ulines'(X1,X2), inference(clausification, [status(esa)], [oag6])).
% 134.03/36.71 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])).
% 134.03/36.71 cnf(c43, plain, ~'left$uapart$upoint'(X0,X1), inference(clausification, [status(esa)], [oag10])).
% 134.03/36.71 cnf(c45, plain, ~'left$uconvergent$ulines'(X0,X1), inference(clausification, [status(esa)], [oag11])).
% 134.03/36.71 cnf(c57, plain, ~'unequally$udirected$ulines'('line$uconnecting'(X0,X1),'reverse$uline'('line$uconnecting'(X1,X0))), inference(clausification, [status(esa)], [oagco9])).
% 134.03/36.71 cnf(c59, plain, ~'distinct$ulines'(X0,X1) | 'left$uapart$upoint'(X2,'reverse$uline'(X0)) | 'left$uapart$upoint'(X3,X0) | 'left$uapart$upoint'(X2,'reverse$uline'(X1)) | ~'distinct$upoints'(X3,X2) | 'left$uapart$upoint'(X2,X0) | 'left$uapart$upoint'(X2,X1) | 'left$uapart$upoint'(X3,X1) | 'left$uapart$upoint'(X3,'reverse$uline'(X0)) | 'left$uapart$upoint'(X3,'reverse$uline'(X1)), inference(clausification, [status(esa)], [oaguc1])).
% 134.03/36.71 cnf(c64, plain, 'distinct$upoints'(sK74,sK75), inference(clausification, [status(esa)], [negated_conjecture])).
% 134.03/36.71 cnf(c65, plain, 'distinct$ulines'('line$uconnecting'(sK74,sK75),'line$uconnecting'(sK75,sK74)) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),'line$uconnecting'(sK74,sK75)), inference(clausification, [status(esa)], [negated_conjecture])).
% 134.03/36.71 cnf(d0, plain, 'left$uapart$upoint'(X0,X1) | 'left$uapart$upoint'(X0,'reverse$uline'(X2)) | 'left$uapart$upoint'(X0,'reverse$uline'(X1)) | 'left$uapart$upoint'(X3,X2) | 'left$uapart$upoint'(X3,X1) | 'left$uapart$upoint'(X3,'reverse$uline'(X2)) | 'left$uapart$upoint'(X3,'reverse$uline'(X1)) | ~'distinct$upoints'(X3,X0) | ~'distinct$ulines'(X1,X2), inference(resolution, [status(thm)], [c43,c59])).
% 134.03/36.71 cnf(d1, plain, 'left$uapart$upoint'(X0,'line$uconnecting'(sK75,sK74)) | 'left$uapart$upoint'(X0,'line$uconnecting'(sK74,sK75)) | 'left$uapart$upoint'(X0,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(X0,'reverse$uline'('line$uconnecting'(sK74,sK75))) | 'left$uapart$upoint'(X1,'line$uconnecting'(sK74,sK75)) | 'left$uapart$upoint'(X1,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(X1,'reverse$uline'('line$uconnecting'(sK74,sK75))) | ~'distinct$upoints'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),'line$uconnecting'(sK74,sK75)), inference(resolution, [status(thm)], [d0,c65])).
% 134.03/36.71 cnf(d2, plain, 'left$uapart$upoint'(X0,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(X0,'line$uconnecting'(sK74,sK75)) | 'left$uapart$upoint'(X1,'reverse$uline'('line$uconnecting'(sK74,sK75))) | 'left$uapart$upoint'(X1,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(X1,'line$uconnecting'(sK74,sK75)) | 'left$uapart$upoint'(X1,'line$uconnecting'(sK75,sK74)) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),'line$uconnecting'(sK74,sK75)) | ~'distinct$upoints'(X1,X0), inference(resolution, [status(thm)], [c43,d1])).
% 134.03/36.71 cnf(d3, plain, 'left$uapart$upoint'(sK74,'reverse$uline'('line$uconnecting'(sK74,sK75))) | 'left$uapart$upoint'(sK74,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(sK74,'line$uconnecting'(sK74,sK75)) | 'left$uapart$upoint'(sK74,'line$uconnecting'(sK75,sK74)) | 'left$uapart$upoint'(sK75,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(sK75,'line$uconnecting'(sK74,sK75)) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),'line$uconnecting'(sK74,sK75)), inference(resolution, [status(thm)], [d2,c64])).
% 134.03/36.71 cnf(d4, plain, 'left$uapart$upoint'(sK74,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(sK74,'line$uconnecting'(sK74,sK75)) | 'left$uapart$upoint'(sK74,'line$uconnecting'(sK75,sK74)) | 'left$uapart$upoint'(sK75,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(sK75,'line$uconnecting'(sK74,sK75)) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),'line$uconnecting'(sK74,sK75)), inference(resolution, [status(thm)], [c43,d3])).
% 134.03/36.71 cnf(d5, plain, 'left$uapart$upoint'(sK74,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(sK74,'line$uconnecting'(sK74,sK75)) | 'left$uapart$upoint'(sK74,'line$uconnecting'(sK75,sK74)) | 'left$uapart$upoint'(sK75,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(sK75,'line$uconnecting'(sK74,sK75)) | ~'Ts8'(sK74,sK75,'line$uconnecting'(sK75,sK74)), inference(resolution, [status(thm)], [d4,c21])).
% 134.03/36.71 cnf(d6, plain, 'left$uapart$upoint'(sK74,'line$uconnecting'(sK74,sK75)) | 'left$uapart$upoint'(sK74,'line$uconnecting'(sK75,sK74)) | 'left$uapart$upoint'(sK75,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(sK75,'line$uconnecting'(sK74,sK75)) | ~'Ts8'(sK74,sK75,'line$uconnecting'(sK75,sK74)), inference(resolution, [status(thm)], [c43,d5])).
% 134.03/36.71 cnf(d7, plain, ~'unequally$udirected$ulines'(X0,X1) | ~'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'left$uconvergent$ulines'(X0,'reverse$uline'(X1)), inference(resolution, [status(thm)], [c45,c42])).
% 134.03/36.71 cnf(d8, plain, ~'unequally$udirected$ulines'(X0,X1) | 'left$uconvergent$ulines'(X0,'reverse$uline'(X1)) | ~'convergent$ulines'(X0,X1), inference(resolution, [status(thm)], [d7,c4])).
% 134.03/36.71 cnf(d9, plain, ~'convergent$ulines'(X0,X1) | ~'unequally$udirected$ulines'(X0,X1), inference(resolution, [status(thm)], [c45,d8])).
% 134.03/36.71 cnf(d10, 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])).
% 134.03/36.71 cnf(d11, 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,d10])).
% 134.03/36.71 cnf(d12, 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$upoints'(X0,X3), inference(resolution, [status(thm)], [c43,d11])).
% 134.03/36.71 cnf(d13, plain, 'left$uapart$upoint'(sK74,X0) | 'left$uapart$upoint'(sK74,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),X1) | 'Ts8'(sK74,sK75,X0), inference(resolution, [status(thm)], [d12,c64])).
% 134.03/36.71 cnf(d14, plain, 'left$uapart$upoint'(sK74,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),X1) | 'Ts8'(sK74,sK75,X0), inference(resolution, [status(thm)], [c43,d13])).
% 134.03/36.71 cnf(d15, plain, 'left$uapart$upoint'(sK74,'reverse$uline'(X0)) | 'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),X0) | 'Ts8'(sK74,sK75,X0), inference(resolution, [status(thm)], [d14,c35])).
% 134.03/36.71 cnf(d16, plain, 'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),X0) | 'Ts8'(sK74,sK75,X0), inference(resolution, [status(thm)], [c43,d15])).
% 134.03/36.71 cnf(d17, plain, 'Ts8'(sK74,sK75,X0) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),X1), inference(resolution, [status(thm)], [d16,c36])).
% 134.03/36.71 cnf(d18, plain, 'unequally$udirected$ulines'(X0,'line$uconnecting'(sK74,sK75)) | 'Ts8'(sK74,sK75,X0), inference(resolution, [status(thm)], [d17,c35])).
% 134.03/36.71 cnf(d19, plain, 'Ts8'(sK74,sK75,X0) | ~'convergent$ulines'(X0,'line$uconnecting'(sK74,sK75)), inference(resolution, [status(thm)], [d18,d9])).
% 134.03/36.71 cnf(d20, plain, 'distinct$upoints'(sK75,X0) | 'distinct$upoints'(sK74,X0), inference(resolution, [status(thm)], [c32,c64])).
% 134.03/36.71 cnf(d21, plain, 'distinct$upoints'(sK74,X0) | 'distinct$upoints'(X0,X1) | 'distinct$upoints'(sK75,X1), inference(resolution, [status(thm)], [d20,c32])).
% 134.03/36.71 cnf(d22, plain, 'distinct$upoints'(X0,sK75) | 'distinct$upoints'(sK74,X0), inference(resolution, [status(thm)], [d21,c31])).
% 134.03/36.71 cnf(d23, plain, 'distinct$upoints'(X0,sK75) | 'distinct$upoints'(X0,X1) | 'distinct$upoints'(sK74,X1), inference(resolution, [status(thm)], [d22,c32])).
% 134.03/36.71 cnf(d24, plain, 'distinct$upoints'(X0,sK74) | 'distinct$upoints'(X0,sK75), inference(resolution, [status(thm)], [d23,c31])).
% 134.03/36.71 cnf(d25, plain, 'distinct$upoints'(sK75,sK74), inference(resolution, [status(thm)], [d24,c31])).
% 134.03/36.71 cnf(d26, plain, 'left$uapart$upoint'(sK75,X0) | 'left$uapart$upoint'(sK75,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),X1) | 'Ts8'(sK75,sK74,X0), inference(resolution, [status(thm)], [d12,d25])).
% 134.03/36.71 cnf(d27, plain, 'left$uapart$upoint'(sK75,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),X1) | 'Ts8'(sK75,sK74,X0), inference(resolution, [status(thm)], [c43,d26])).
% 134.03/36.71 cnf(d28, plain, 'left$uapart$upoint'(sK75,'reverse$uline'(X0)) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),X0) | 'Ts8'(sK75,sK74,X0), inference(resolution, [status(thm)], [d27,c35])).
% 134.03/36.71 cnf(d29, plain, 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),X0) | 'Ts8'(sK75,sK74,X0), inference(resolution, [status(thm)], [c43,d28])).
% 134.03/36.71 cnf(d30, plain, 'Ts8'(sK75,sK74,X0) | 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),X1), inference(resolution, [status(thm)], [d29,c36])).
% 134.03/36.71 cnf(d31, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'('line$uconnecting'(sK74,sK75))) | 'Ts8'(sK75,sK74,X0), inference(resolution, [status(thm)], [d30,c57])).
% 134.03/36.71 cnf(d32, plain, 'Ts8'(sK75,sK74,X0) | 'convergent$ulines'(X0,'line$uconnecting'(sK74,sK75)) | ~'unequally$udirected$ulines'(X0,'line$uconnecting'(sK74,sK75)), inference(resolution, [status(thm)], [d31,c5])).
% 134.03/36.71 cnf(d33, plain, 'convergent$ulines'(X0,'line$uconnecting'(sK74,sK75)) | 'Ts8'(sK75,sK74,X0) | 'Ts8'(sK74,sK75,X0), inference(resolution, [status(thm)], [d32,d18])).
% 134.03/36.71 cnf(d34, plain, 'Ts8'(sK74,sK75,X0) | 'Ts8'(sK75,sK74,X0) | 'Ts8'(sK74,sK75,X0), inference(resolution, [status(thm)], [d33,d19])).
% 134.03/36.71 cnf(d35, plain, 'left$uapart$upoint'(sK74,'reverse$uline'(X0)) | 'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),'line$uconnecting'(X1,X2)) | 'Ts8'(sK74,sK75,X0) | ~'Ts8'(X1,X2,X0), inference(resolution, [status(thm)], [d14,c21])).
% 134.03/36.71 cnf(d36, plain, 'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),'line$uconnecting'(X0,X1)) | ~'Ts8'(X0,X1,X2) | 'Ts8'(sK74,sK75,X2), inference(resolution, [status(thm)], [c43,d35])).
% 134.03/36.71 cnf(d37, plain, 'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),'line$uconnecting'(sK75,sK74)) | 'Ts8'(sK74,sK75,X0) | 'Ts8'(sK74,sK75,X0), inference(resolution, [status(thm)], [d36,d34])).
% 134.03/36.71 cnf(d38, plain, 'Ts8'(sK74,sK75,X0) | ~'Ts8'(sK75,sK74,'line$uconnecting'(sK74,sK75)), inference(resolution, [status(thm)], [d37,c21])).
% 134.03/36.71 cnf(d39, plain, 'left$uapart$upoint'(sK74,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'Ts8'(sK74,sK75,X0) | ~'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),X1) | 'left$uconvergent$ulines'('line$uconnecting'(sK74,sK75),'reverse$uline'(X1)), inference(resolution, [status(thm)], [d14,d7])).
% 134.03/36.71 cnf(d40, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | ~'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),X1) | 'Ts8'(sK74,sK75,X0) | 'left$uconvergent$ulines'('line$uconnecting'(sK74,sK75),'reverse$uline'(X1)), inference(resolution, [status(thm)], [c43,d39])).
% 134.03/36.71 cnf(d41, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | ~'unequally$udirected$ulines'('line$uconnecting'(sK74,sK75),X1) | 'Ts8'(sK74,sK75,X0), inference(resolution, [status(thm)], [c45,d40])).
% 134.03/36.71 cnf(d42, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'Ts8'(sK74,sK75,X0) | 'Ts8'(sK74,sK75,X1), inference(resolution, [status(thm)], [d41,d16])).
% 134.03/36.71 cnf(d43, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X0)) | 'Ts8'(sK74,sK75,X0), inference(factoring, [status(thm)], [d42])).
% 134.03/36.71 cnf(d44, plain, 'Ts8'(sK74,sK75,'line$uconnecting'(X0,X0)), inference(resolution, [status(thm)], [d43,c57])).
% 134.03/36.71 cnf(d45, plain, 'left$uapart$upoint'(sK75,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,X1) | 'Ts8'(sK75,sK74,X0) | 'unequally$udirected$ulines'(X1,X2) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),X2), inference(resolution, [status(thm)], [d27,c36])).
% 134.03/36.71 cnf(d46, plain, 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'(X2,X0) | 'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),X1) | 'Ts8'(sK75,sK74,X2), inference(resolution, [status(thm)], [c43,d45])).
% 134.03/36.71 cnf(d47, plain, 'unequally$udirected$ulines'(X0,X1) | 'unequally$udirected$ulines'(X1,'line$uconnecting'(sK75,sK74)) | 'Ts8'(sK75,sK74,X0), inference(resolution, [status(thm)], [d46,c35])).
% 134.03/36.71 cnf(d48, plain, 'unequally$udirected$ulines'(X0,X1) | 'Ts8'(sK75,sK74,X0) | ~'Ts8'(sK75,sK74,X1), inference(resolution, [status(thm)], [d47,c21])).
% 134.03/36.71 cnf(d49, plain, 'left$uapart$upoint'(sK75,'reverse$uline'(X0)) | 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'Ts8'(sK75,sK74,X0) | ~'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),X1) | 'left$uconvergent$ulines'('line$uconnecting'(sK75,sK74),'reverse$uline'(X1)), inference(resolution, [status(thm)], [d27,d7])).
% 134.03/36.71 cnf(d50, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | ~'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),X1) | 'Ts8'(sK75,sK74,X0) | 'left$uconvergent$ulines'('line$uconnecting'(sK75,sK74),'reverse$uline'(X1)), inference(resolution, [status(thm)], [c43,d49])).
% 134.03/36.71 cnf(d51, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | ~'unequally$udirected$ulines'('line$uconnecting'(sK75,sK74),X1) | 'Ts8'(sK75,sK74,X0), inference(resolution, [status(thm)], [c45,d50])).
% 134.03/36.71 cnf(d52, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X1)) | 'Ts8'(sK75,sK74,X0) | 'Ts8'(sK75,sK74,X1), inference(resolution, [status(thm)], [d51,d29])).
% 134.03/36.71 cnf(d53, plain, 'unequally$udirected$ulines'(X0,'reverse$uline'(X0)) | 'Ts8'(sK75,sK74,X0), inference(factoring, [status(thm)], [d52])).
% 134.03/36.71 cnf(d54, plain, 'Ts8'(sK75,sK74,'line$uconnecting'(X0,X0)), inference(resolution, [status(thm)], [d53,c57])).
% 134.03/36.71 cnf(d55, plain, 'unequally$udirected$ulines'(X0,'line$uconnecting'(X1,X1)) | 'Ts8'(sK75,sK74,X0), inference(resolution, [status(thm)], [d54,d48])).
% 134.03/36.71 cnf(d56, plain, 'Ts8'(sK75,sK74,X0) | 'unequally$udirected$ulines'('line$uconnecting'(X1,X1),X2) | 'unequally$udirected$ulines'(X0,X2), inference(resolution, [status(thm)], [d55,c36])).
% 134.03/36.71 cnf(d57, plain, 'unequally$udirected$ulines'('line$uconnecting'(X0,X0),X1) | 'Ts8'(sK75,sK74,X1), inference(resolution, [status(thm)], [d56,c35])).
% 134.03/36.71 cnf(d58, plain, 'Ts8'(sK75,sK74,'line$uconnecting'(X0,X1)) | ~'Ts8'(X0,X1,'line$uconnecting'(X2,X2)), inference(resolution, [status(thm)], [d57,c21])).
% 134.03/36.71 cnf(d59, plain, 'Ts8'(sK75,sK74,'line$uconnecting'(sK74,sK75)), inference(resolution, [status(thm)], [d58,d44])).
% 134.03/36.71 cnf(d60, plain, 'Ts8'(sK74,sK75,X0), inference(resolution, [status(thm)], [d59,d38])).
% 134.03/36.71 cnf(d61, plain, 'left$uapart$upoint'(sK74,'line$uconnecting'(sK74,sK75)) | 'left$uapart$upoint'(sK74,'line$uconnecting'(sK75,sK74)) | 'left$uapart$upoint'(sK75,'reverse$uline'('line$uconnecting'(sK75,sK74))) | 'left$uapart$upoint'(sK75,'line$uconnecting'(sK74,sK75)), inference(resolution, [status(thm)], [d60,d6])).
% 134.03/36.71 cnf(d62, plain, 'left$uapart$upoint'(sK74,'line$uconnecting'(sK74,sK75)) | 'left$uapart$upoint'(sK74,'line$uconnecting'(sK75,sK74)) | 'left$uapart$upoint'(sK75,'line$uconnecting'(sK74,sK75)), inference(resolution, [status(thm)], [d61,c43])).
% 134.03/36.71 cnf(d63, plain, 'left$uapart$upoint'(sK74,'line$uconnecting'(sK75,sK74)) | 'left$uapart$upoint'(sK75,'line$uconnecting'(sK74,sK75)), inference(resolution, [status(thm)], [c43,d62])).
% 134.03/36.71 cnf(d64, plain, 'left$uapart$upoint'(sK74,'line$uconnecting'(sK75,sK74)), inference(resolution, [status(thm)], [d63,c43])).
% 134.03/36.71 cnf(d65, plain, $false, inference(resolution, [status(thm)], [c43,d64])).
% 134.03/36.71 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------