%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO124+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 20.06s 4.64s
% Output : CNFRefutation 20.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO124+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.57 % Computer : n020.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Fri Sep 25 12:51:07 UTC 2026
% 0.08/0.57 % CPUTime :
% 0.08/0.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.06/4.64 % SZS status Theorem for theBenchmark.p
% 20.06/4.64 % SZS output start CNFRefutation for theBenchmark.p
% 20.06/4.64 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$upoint'(X2,X4))))))))).
% 20.06/4.64 fof(between_o_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('between$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)))))).
% 20.06/4.64 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))))))).
% 20.06/4.64 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)))))).
% 20.06/4.64 fof(corollary_4_10_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ((('start$upoint'(X1,X0) & 'start$upoint'(X2,X0)) => X1 = X2))).
% 20.06/4.64 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((('start$upoint'(X1,X0) & 'start$upoint'(X2,X0)) => X1 = X2)), inference(negate_conjecture, [status(cth)], [corollary_4_10_1])).
% 20.06/4.64 cnf(c_48, plain, ~'between$uc'(X0,X1,X2,X3) | X4(X0,X1,X2,X3), inference(clausification, [status(esa)], [between_c_defn])).
% 20.06/4.64 cnf(c_50, plain, ~X0(X1,X2,X3,X4) | X4 != X2, inference(clausification, [status(esa)], [between_c_defn])).
% 20.06/4.64 cnf(c_60, plain, 'between$uo'(X0,X1,X2,X3) | ~'ordered$uby'(X0,X3,X2) | ~'ordered$uby'(X0,X2,X1), inference(clausification, [status(esa)], [between_o_defn])).
% 20.06/4.64 cnf(c_61, plain, ~'start$upoint'(X0,X1) | 'incident$uo'(X0,X1), inference(clausification, [status(esa)], [start_point_defn])).
% 20.06/4.64 cnf(c_62, plain, ~'start$upoint'(X0,X1) | ~'incident$uo'(X2,X1) | X2 = X0 | 'ordered$uby'(X1,X0,X2), inference(clausification, [status(esa)], [start_point_defn])).
% 20.06/4.64 cnf(c_78, plain, ~'between$uo'(X0,X1,X2,X3) | 'between$uc'(sK91(X1,X2,X3,X0),X1,X2,X3), inference(clausification, [status(esa)], [o3])).
% 20.06/4.64 cnf(c_97, plain, 'start$upoint'(sK112,sK110), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.06/4.64 cnf(c_98, plain, 'start$upoint'(sK111,sK110), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.06/4.64 cnf(c_99, plain, sK112 != sK111, inference(clausification, [status(esa)], [negated_conjecture])).
% 20.06/4.64 cnf(d0, plain, 'incident$uo'(sK112,sK110), inference(resolution, [status(thm)], [c_61,c_97])).
% 20.06/4.64 cnf(d1, plain, X0 = sK111 | 'ordered$uby'(sK110,sK111,X0) | ~'incident$uo'(X0,sK110), inference(resolution, [status(thm)], [c_62,c_98])).
% 20.06/4.64 cnf(d2, plain, sK112 = sK111 | 'ordered$uby'(sK110,sK111,sK112), inference(resolution, [status(thm)], [d1,d0])).
% 20.06/4.64 cnf(d3, plain, 'ordered$uby'(sK110,sK111,sK112), inference(resolution, [status(thm)], [c_99,d2])).
% 20.06/4.64 cnf(d4, plain, 'between$uo'(sK110,X0,sK112,sK111) | ~'ordered$uby'(sK110,sK112,X0), inference(resolution, [status(thm)], [d3,c_60])).
% 20.06/4.64 cnf(d5, plain, 'incident$uo'(sK111,sK110), inference(resolution, [status(thm)], [c_61,c_98])).
% 20.06/4.64 cnf(d6, plain, X0 = sK112 | 'ordered$uby'(sK110,sK112,X0) | ~'incident$uo'(X0,sK110), inference(resolution, [status(thm)], [c_62,c_97])).
% 20.06/4.64 cnf(d7, plain, sK111 = sK112 | 'ordered$uby'(sK110,sK112,sK111), inference(resolution, [status(thm)], [d6,d5])).
% 20.06/4.64 cnf(d8, plain, sK112 != sK112 | 'ordered$uby'(sK110,sK112,sK111), inference(superposition, [status(thm)], [d7,c_99])).
% 20.06/4.64 cnf(d9, plain, 'ordered$uby'(sK110,sK112,sK111), inference(equality_resolution, [status(thm)], [d8])).
% 20.06/4.64 cnf(d10, plain, 'between$uo'(sK110,sK111,sK112,sK111), inference(resolution, [status(thm)], [d9,d4])).
% 20.06/4.64 cnf(d11, plain, 'between$uc'(sK91(sK111,sK112,sK111,sK110),sK111,sK112,sK111), inference(resolution, [status(thm)], [d10,c_78])).
% 20.06/4.64 cnf(d12, plain, 'Ts62'(sK91(sK111,sK112,sK111,sK110),sK111,sK112,sK111), inference(resolution, [status(thm)], [d11,c_48])).
% 20.06/4.64 cnf(d13, plain, ~'Ts62'(X0,X1,X2,X1), inference(equality_resolution, [status(thm)], [c_50])).
% 20.06/4.64 cnf(d14, plain, $false, inference(resolution, [status(thm)], [d13,d12])).
% 20.06/4.64 % SZS output end CNFRefutation for theBenchmark.p
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