%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO127+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 07:14:14 AM UTC 2026
% Result : Theorem 14.78s 2.49s
% Output : CNFRefutation 14.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO127+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 12:48:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.78/2.49 % SZS status Theorem for theBenchmark.p
% 14.78/2.49 % SZS output start CNFRefutation for theBenchmark.p
% 14.78/2.49 fof(end_point_defn, axiom, ! [X0] : ! [X1] : (('end$upoint'(X0,X1) <=> ('incident$uc'(X0,X1) & ! [X2] : ! [X3] : ((('part$uof'(X2,X1) & ('part$uof'(X3,X1) & ('incident$uc'(X0,X2) & 'incident$uc'(X0,X3)))) => ('part$uof'(X2,X3) | 'part$uof'(X3,X2)))))))).
% 14.78/2.49 fof(inner_point_defn, axiom, ! [X0] : ! [X1] : (('inner$upoint'(X0,X1) <=> ('incident$uc'(X0,X1) & ~'end$upoint'(X0,X1))))).
% 14.78/2.49 fof(closed_defn, axiom, ! [X0] : ((closed(X0) <=> ~? [X1] : 'end$upoint'(X1,X0)))).
% 14.78/2.49 fof(open_defn, axiom, ! [X0] : ((open(X0) <=> ? [X1] : 'end$upoint'(X1,X0)))).
% 14.78/2.49 fof(c3, axiom, ! [X0] : ? [X1] : 'inner$upoint'(X1,X0)).
% 14.78/2.49 fof(start_point_defn, axiom, ! [X0] : ! [X1] : (('start$upoint'(X0,X1) <=> ('incident$uo'(X0,X1) & ! [X2] : (((X0 != X2 & 'incident$uo'(X2,X1)) => 'ordered$uby'(X1,X0,X2))))))).
% 14.78/2.49 fof(o1, axiom, ! [X0] : ! [X1] : ! [X2] : (('ordered$uby'(X0,X1,X2) => ('incident$uo'(X1,X0) & 'incident$uo'(X2,X0))))).
% 14.78/2.49 fof(o2, axiom, ! [X0] : ? [X1] : ((open(X1) & ! [X2] : (('incident$uo'(X2,X0) <=> 'incident$uc'(X2,X1)))))).
% 14.78/2.49 fof(o4, axiom, ! [X0] : ? [X1] : 'start$upoint'(X1,X0)).
% 14.78/2.49 fof(theorem_4_12, conjecture, ! [X0] : ! [X1] : (('incident$uo'(X1,X0) <=> ? [X2] : (('ordered$uby'(X0,X1,X2) | 'ordered$uby'(X0,X2,X1)))))).
% 14.78/2.49 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : (('incident$uo'(X1,X0) <=> ? [X2] : (('ordered$uby'(X0,X1,X2) | 'ordered$uby'(X0,X2,X1))))), inference(negate_conjecture, [status(cth)], [theorem_4_12])).
% 14.78/2.49 cnf(c_14, plain, ~'end$upoint'(X0,X1) | 'incident$uc'(X0,X1), inference(clausification, [status(esa)], [end_point_defn])).
% 14.78/2.49 cnf(c_24, plain, ~'inner$upoint'(X0,X1) | 'incident$uc'(X0,X1), inference(clausification, [status(esa)], [inner_point_defn])).
% 14.78/2.49 cnf(c_25, plain, ~'inner$upoint'(X0,X1) | ~'end$upoint'(X0,X1), inference(clausification, [status(esa)], [inner_point_defn])).
% 14.78/2.49 cnf(c_36, plain, ~closed(X0) | ~'end$upoint'(X1,X0), inference(clausification, [status(esa)], [closed_defn])).
% 14.78/2.49 cnf(c_37, plain, closed(X0) | 'end$upoint'(sK27(X0),X0), inference(clausification, [status(esa)], [closed_defn])).
% 14.78/2.49 cnf(c_38, plain, ~open(X0) | 'end$upoint'(sK29(X0),X0), inference(clausification, [status(esa)], [open_defn])).
% 14.78/2.49 cnf(c_42, plain, 'inner$upoint'(sK39(X0),X0), inference(clausification, [status(esa)], [c3])).
% 14.78/2.49 cnf(c_70, plain, ~'start$upoint'(X0,X1) | X2(X1,X0), inference(clausification, [status(esa)], [start_point_defn])).
% 14.78/2.49 cnf(c_73, plain, ~X0(X1,X2) | X2 = X3 | ~'incident$uo'(X3,X1) | 'ordered$uby'(X1,X2,X3), inference(clausification, [status(esa)], [start_point_defn])).
% 14.78/2.49 cnf(c_84, plain, ~'ordered$uby'(X0,X1,X2) | 'incident$uo'(X1,X0), inference(clausification, [status(esa)], [o1])).
% 14.78/2.49 cnf(c_85, plain, ~'ordered$uby'(X0,X1,X2) | 'incident$uo'(X2,X0), inference(clausification, [status(esa)], [o1])).
% 14.78/2.49 cnf(c_86, plain, open(sK89(X0)), inference(clausification, [status(esa)], [o2])).
% 14.78/2.49 cnf(c_88, plain, 'incident$uo'(X0,X1) | ~'incident$uc'(X0,sK89(X1)), inference(clausification, [status(esa)], [o2])).
% 14.78/2.49 cnf(c_98, plain, 'start$upoint'(sK101(X0),X0), inference(clausification, [status(esa)], [o4])).
% 14.78/2.49 cnf(c_113, plain, 'incident$uo'(sK116,sK115) | 'ordered$uby'(sK115,sK116,sK118) | 'ordered$uby'(sK115,sK118,sK116), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.78/2.49 cnf(c_114, plain, ~'ordered$uby'(sK115,sK116,X0) | ~'incident$uo'(sK116,sK115), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.78/2.49 cnf(c_116, plain, ~'ordered$uby'(sK115,X0,sK116) | ~'incident$uo'(sK116,sK115), inference(clausification, [status(esa)], [negated_conjecture])).
% 14.78/2.49 cnf(d0, plain, 'incident$uo'(sK116,sK115) | 'ordered$uby'(sK115,sK116,sK118) | 'incident$uo'(sK116,sK115), inference(resolution, [status(thm)], [c_85,c_113])).
% 14.78/2.49 cnf(d1, plain, 'incident$uo'(sK116,sK115) | 'incident$uo'(sK116,sK115), inference(resolution, [status(thm)], [d0,c_84])).
% 14.78/2.49 cnf(d2, plain, ~'ordered$uby'(sK115,sK116,X0), inference(resolution, [status(thm)], [d1,c_114])).
% 14.78/2.49 cnf(d3, plain, sK116 = X0 | ~'Ts75'(sK115,sK116) | ~'incident$uo'(X0,sK115), inference(resolution, [status(thm)], [c_73,d2])).
% 14.78/2.49 cnf(d4, plain, 'Ts75'(X0,sK101(X0)), inference(resolution, [status(thm)], [c_70,c_98])).
% 14.78/2.49 cnf(d5, plain, ~'ordered$uby'(sK115,X0,sK116), inference(resolution, [status(thm)], [d1,c_116])).
% 14.78/2.49 cnf(d6, plain, X0 = sK116 | ~'Ts75'(sK115,X0) | ~'incident$uo'(sK116,sK115), inference(resolution, [status(thm)], [c_73,d5])).
% 14.78/2.49 cnf(d7, plain, X0 = sK116 | ~'Ts75'(sK115,X0), inference(resolution, [status(thm)], [d1,d6])).
% 14.78/2.49 cnf(d8, plain, sK101(sK115) = sK116, inference(resolution, [status(thm)], [d7,d4])).
% 14.78/2.49 cnf(d9, plain, 'Ts75'(sK115,sK116), inference(superposition, [status(thm)], [d8,d4])).
% 14.78/2.49 cnf(d10, plain, sK116 = X0 | ~'incident$uo'(X0,sK115), inference(resolution, [status(thm)], [d9,d3])).
% 14.78/2.49 cnf(d11, plain, closed(X0) | 'incident$uc'(sK27(X0),X0), inference(resolution, [status(thm)], [c_37,c_14])).
% 14.78/2.49 cnf(d12, plain, 'incident$uo'(sK27(sK89(X0)),X0) | closed(sK89(X0)), inference(resolution, [status(thm)], [c_88,d11])).
% 14.78/2.49 cnf(d13, plain, ~open(X0) | ~closed(X0), inference(resolution, [status(thm)], [c_38,c_36])).
% 14.78/2.49 cnf(d14, plain, ~closed(sK89(X0)), inference(resolution, [status(thm)], [d13,c_86])).
% 14.78/2.49 cnf(d15, plain, 'incident$uo'(sK27(sK89(X0)),X0), inference(resolution, [status(thm)], [d14,d12])).
% 14.78/2.49 cnf(d16, plain, sK116 = sK27(sK89(sK115)), inference(resolution, [status(thm)], [d15,d10])).
% 14.78/2.49 cnf(d17, plain, 'end$upoint'(sK116,sK89(sK115)) | closed(sK89(sK115)), inference(superposition, [status(thm)], [d16,c_37])).
% 14.78/2.49 cnf(d18, plain, 'end$upoint'(sK116,sK89(sK115)), inference(resolution, [status(thm)], [d14,d17])).
% 14.78/2.49 cnf(d19, plain, ~'end$upoint'(sK39(X0),X0), inference(resolution, [status(thm)], [c_25,c_42])).
% 14.78/2.49 cnf(d20, plain, 'incident$uc'(sK39(X0),X0), inference(resolution, [status(thm)], [c_24,c_42])).
% 14.78/2.49 cnf(d21, plain, 'incident$uo'(sK39(sK89(X0)),X0), inference(resolution, [status(thm)], [c_88,d20])).
% 14.78/2.49 cnf(d22, plain, sK116 = sK39(sK89(sK115)), inference(resolution, [status(thm)], [d10,d21])).
% 14.78/2.49 cnf(d23, plain, ~'end$upoint'(sK116,sK89(sK115)), inference(superposition, [status(thm)], [d22,d19])).
% 14.78/2.49 cnf(d24, plain, $false, inference(resolution, [status(thm)], [d23,d18])).
% 14.78/2.49 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------