%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO117+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 : n013.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 07:14:13 AM UTC 2026
% Result : Theorem 6.44s 5.24s
% Output : CNFRefutation 6.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO117+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n013.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 12:48:21 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.44/5.24 % SZS status Theorem for theBenchmark.p
% 6.44/5.24 % SZS output start CNFRefutation for theBenchmark.p
% 6.44/5.24 fof(inner_point_defn, axiom, ! [X0] : ! [X1] : (('inner$upoint'(X0,X1) <=> ('incident$uc'(X0,X1) & ~'end$upoint'(X0,X1))))).
% 6.44/5.24 fof(between_c_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('between$uc'(X0,X1,X2,X3) <=> (X1 != X3 & ? [X4] : (('part$uof'(X4,X0) & ('end$upoint'(X1,X4) & ('end$upoint'(X3,X4) & 'inner$upoint'(X2,X4))))))))).
% 6.44/5.24 fof(between_o_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('between$uo'(X0,X1,X2,X3) <=> (('ordered$uby'(X0,X1,X2) & 'ordered$uby'(X0,X2,X3)) | ('ordered$uby'(X0,X3,X2) & 'ordered$uby'(X0,X2,X1)))))).
% 6.44/5.24 fof(o3, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('between$uo'(X3,X0,X1,X2) <=> ? [X4] : ((! [X0] : (('incident$uo'(X0,X3) <=> 'incident$uc'(X0,X4))) & 'between$uc'(X4,X0,X1,X2)))))).
% 6.44/5.24 fof(theorem_4_4, conjecture, ! [X0] : ! [X1] : ~'ordered$uby'(X0,X1,X1)).
% 6.44/5.24 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ~'ordered$uby'(X0,X1,X1), inference(negate_conjecture, [status(cth)], [theorem_4_4])).
% 6.44/5.24 cnf(c_25, plain, ~'inner$upoint'(X0,X1) | ~'end$upoint'(X0,X1), inference(clausification, [status(esa)], [inner_point_defn])).
% 6.44/5.24 cnf(c_54, plain, ~'between$uc'(X0,X1,X2,X3) | X4(X0,X1,X2,X3), inference(clausification, [status(esa)], [between_c_defn])).
% 6.44/5.24 cnf(c_59, plain, ~X0(X1,X2,X3,X4) | 'end$upoint'(X4,sK68(X2,X3,X1,X4)), inference(clausification, [status(esa)], [between_c_defn])).
% 6.44/5.24 cnf(c_60, plain, ~X0(X1,X2,X3,X4) | 'inner$upoint'(X3,sK68(X2,X3,X1,X4)), inference(clausification, [status(esa)], [between_c_defn])).
% 6.44/5.24 cnf(c_63, plain, 'between$uo'(X0,X1,X2,X3) | ~X4(X0,X1,X2,X3), inference(clausification, [status(esa)], [between_o_defn])).
% 6.44/5.24 cnf(c_68, plain, X0(X1,X2,X3,X4) | ~'ordered$uby'(X1,X2,X3) | ~'ordered$uby'(X1,X3,X4), inference(clausification, [status(esa)], [between_o_defn])).
% 6.44/5.24 cnf(c_89, plain, ~'between$uo'(X0,X1,X2,X3) | X4(X0,X1,X2,X3), inference(clausification, [status(esa)], [o3])).
% 6.44/5.24 cnf(c_93, plain, ~X0(X1,X2,X3,X4) | 'between$uc'(sK96(X2,X3,X1,X4),X2,X3,X4), inference(clausification, [status(esa)], [o3])).
% 6.44/5.24 cnf(c_112, plain, 'ordered$uby'(sK115,sK116,sK116), inference(clausification, [status(esa)], [negated_conjecture])).
% 6.44/5.24 cnf(d0, plain, ~'Ts63'(X0,X1,X2,X3) | ~'end$upoint'(X2,sK68(X1,X2,X0,X3)), inference(resolution, [status(thm)], [c_60,c_25])).
% 6.44/5.24 cnf(d1, plain, ~'Ts63'(X0,X1,X2,X2) | ~'Ts63'(X0,X1,X2,X2), inference(resolution, [status(thm)], [d0,c_59])).
% 6.44/5.24 cnf(d2, plain, ~'Ts91'(X0,X1,X2,X3) | 'Ts63'(sK96(X1,X2,X0,X3),X1,X2,X3), inference(resolution, [status(thm)], [c_93,c_54])).
% 6.44/5.24 cnf(d3, plain, ~'Ts91'(X0,X1,X2,X2), inference(resolution, [status(thm)], [d2,d1])).
% 6.44/5.24 cnf(d4, plain, ~'ordered$uby'(X0,X1,X2) | ~'ordered$uby'(X0,X2,X3) | 'between$uo'(X0,X1,X2,X3), inference(resolution, [status(thm)], [c_68,c_63])).
% 6.44/5.24 cnf(d5, plain, ~'ordered$uby'(X0,X1,X2) | ~'ordered$uby'(X0,X3,X1) | 'Ts91'(X0,X3,X1,X2), inference(resolution, [status(thm)], [d4,c_89])).
% 6.44/5.24 cnf(d6, plain, ~'ordered$uby'(X0,X1,X2) | ~'ordered$uby'(X0,X2,X2), inference(resolution, [status(thm)], [d5,d3])).
% 6.44/5.24 cnf(d7, plain, ~'ordered$uby'(sK115,sK116,sK116), inference(resolution, [status(thm)], [d6,c_112])).
% 6.44/5.24 cnf(d8, plain, $false, inference(resolution, [status(thm)], [c_112,d7])).
% 6.44/5.24 % SZS output end CNFRefutation for theBenchmark.p
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