%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO112+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 : n012.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 07:14:12 AM UTC 2026
% Result : Theorem 20.71s 3.21s
% Output : CNFRefutation 20.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO112+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Fri Sep 25 12:47:36 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.71/3.21 % SZS status Theorem for theBenchmark.p
% 20.71/3.21 % SZS output start CNFRefutation for theBenchmark.p
% 20.71/3.21 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$upoint'(X2,X4))))))))).
% 20.71/3.21 fof(theorem_3_8_2, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('between$uc'(X0,X1,X2,X3) => 'between$uc'(X0,X3,X2,X1)))).
% 20.71/3.21 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (('between$uc'(X0,X1,X2,X3) => 'between$uc'(X0,X3,X2,X1))), inference(negate_conjecture, [status(cth)], [theorem_3_8_2])).
% 20.71/3.21 cnf(c_54, plain, ~'between$uc'(X0,X1,X2,X3) | X4(X0,X1,X2,X3), inference(clausification, [status(esa)], [between_c_defn])).
% 20.71/3.21 cnf(c_55, plain, 'between$uc'(X0,X1,X2,X3) | ~X4(X0,X1,X2,X3), inference(clausification, [status(esa)], [between_c_defn])).
% 20.71/3.21 cnf(c_57, plain, ~X0(X1,X2,X3,X4) | 'part$uof'(sK68(X2,X3,X1,X4),X1), inference(clausification, [status(esa)], [between_c_defn])).
% 20.71/3.21 cnf(c_58, plain, ~X0(X1,X2,X3,X4) | 'end$upoint'(X2,sK68(X2,X3,X1,X4)), inference(clausification, [status(esa)], [between_c_defn])).
% 20.71/3.21 cnf(c_59, plain, ~X0(X1,X2,X3,X4) | 'end$upoint'(X4,sK68(X2,X3,X1,X4)), inference(clausification, [status(esa)], [between_c_defn])).
% 20.71/3.21 cnf(c_60, plain, ~X0(X1,X2,X3,X4) | 'inner$upoint'(X3,sK68(X2,X3,X1,X4)), inference(clausification, [status(esa)], [between_c_defn])).
% 20.71/3.21 cnf(c_61, plain, ~'part$uof'(X0,X1) | X2(X1,X3,X4,X5) | ~'end$upoint'(X5,X0) | X3 = X5 | ~'end$upoint'(X3,X0) | ~'inner$upoint'(X4,X0), inference(clausification, [status(esa)], [between_c_defn])).
% 20.71/3.21 cnf(c_62, plain, 'between$uc'(sK70,sK71,sK72,sK73), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.71/3.21 cnf(c_63, plain, ~'between$uc'(sK70,sK73,sK72,sK71), inference(clausification, [status(esa)], [negated_conjecture])).
% 20.71/3.21 cnf(d0, plain, X0 = X1 | ~'part$uof'(X2,X3) | ~'end$upoint'(X0,X2) | ~'end$upoint'(X1,X2) | ~'inner$upoint'(X4,X2) | 'between$uc'(X3,X0,X4,X1), inference(resolution, [status(thm)], [c_61,c_55])).
% 20.71/3.21 cnf(d1, plain, sK73 = sK71 | ~'part$uof'(X0,sK70) | ~'end$upoint'(sK71,X0) | ~'end$upoint'(sK73,X0) | ~'inner$upoint'(sK72,X0), inference(resolution, [status(thm)], [d0,c_63])).
% 20.71/3.21 cnf(d2, plain, sK73 = sK71 | ~'part$uof'(sK68(X0,sK72,X1,X2),sK70) | ~'end$upoint'(sK71,sK68(X0,sK72,X1,X2)) | ~'end$upoint'(sK73,sK68(X0,sK72,X1,X2)) | ~'Ts63'(X1,X0,sK72,X2), inference(resolution, [status(thm)], [d1,c_60])).
% 20.71/3.21 cnf(d3, plain, sK73 = sK71 | ~'part$uof'(sK68(X0,sK72,X1,sK73),sK70) | ~'end$upoint'(sK71,sK68(X0,sK72,X1,sK73)) | ~'Ts63'(X1,X0,sK72,sK73) | ~'Ts63'(X1,X0,sK72,sK73), inference(resolution, [status(thm)], [d2,c_59])).
% 20.71/3.21 cnf(d4, plain, sK73 = sK71 | ~'part$uof'(sK68(sK71,sK72,X0,sK73),sK70) | ~'Ts63'(X0,sK71,sK72,sK73) | ~'Ts63'(X0,sK71,sK72,sK73), inference(resolution, [status(thm)], [d3,c_58])).
% 20.71/3.21 cnf(d5, plain, sK73 = sK71 | ~'Ts63'(sK70,sK71,sK72,sK73) | ~'Ts63'(sK70,sK71,sK72,sK73), inference(resolution, [status(thm)], [d4,c_57])).
% 20.71/3.21 cnf(d6, plain, 'Ts63'(sK70,sK71,sK72,sK73), inference(resolution, [status(thm)], [c_54,c_62])).
% 20.71/3.21 cnf(d7, plain, sK73 = sK71, inference(resolution, [status(thm)], [d6,d5])).
% 20.71/3.21 cnf(d8, plain, 'between$uc'(sK70,sK71,sK72,sK71), inference(demodulation, [status(thm)], [c_62,d7])).
% 20.71/3.21 cnf(d9, plain, ~'between$uc'(sK70,sK71,sK72,sK71), inference(demodulation, [status(thm)], [c_63,d7])).
% 20.71/3.21 cnf(d10, plain, $false, inference(resolution, [status(thm)], [d9,d8])).
% 20.71/3.21 % SZS output end CNFRefutation for theBenchmark.p
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