%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO111+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 : n017.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 07:14:11 AM UTC 2026
% Result : Theorem 27.60s 4.38s
% Output : CNFRefutation 27.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO111+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
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 12:43:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.60/4.38 % SZS status Theorem for theBenchmark.p
% 27.60/4.38 % SZS output start CNFRefutation for theBenchmark.p
% 27.60/4.38 fof(part_of_defn, axiom, ! [X0] : ! [X1] : (('part$uof'(X1,X0) <=> ! [X2] : (('incident$uc'(X2,X1) => 'incident$uc'(X2,X0)))))).
% 27.60/4.38 fof(end_point_defn, axiom, ! [X0] : ! [X1] : (('end$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$uof'(X3,X2)))))))).
% 27.60/4.38 fof(inner_point_defn, axiom, ! [X0] : ! [X1] : (('inner$upoint'(X0,X1) <=> ('incident$uc'(X0,X1) & ~'end$upoint'(X0,X1))))).
% 27.60/4.38 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$upoint'(X2,X4))))))))).
% 27.60/4.38 fof(theorem_3_8_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (('between$uc'(X0,X1,X2,X3) => ('incident$uc'(X1,X0) & ('incident$uc'(X2,X0) & ('incident$uc'(X3,X0) & (X1 != X2 & (X2 != X3 & X1 != X3)))))))).
% 27.60/4.38 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (('between$uc'(X0,X1,X2,X3) => ('incident$uc'(X1,X0) & ('incident$uc'(X2,X0) & ('incident$uc'(X3,X0) & (X1 != X2 & (X2 != X3 & X1 != X3))))))), inference(negate_conjecture, [status(cth)], [theorem_3_8_1])).
% 27.60/4.38 cnf(c_0, plain, ~'part$uof'(X0,X1) | ~'incident$uc'(X2,X0) | 'incident$uc'(X2,X1), inference(clausification, [status(esa)], [part_of_defn])).
% 27.60/4.38 cnf(c_14, plain, ~'end$upoint'(X0,X1) | 'incident$uc'(X0,X1), inference(clausification, [status(esa)], [end_point_defn])).
% 27.60/4.38 cnf(c_24, plain, ~'inner$upoint'(X0,X1) | 'incident$uc'(X0,X1), inference(clausification, [status(esa)], [inner_point_defn])).
% 27.60/4.38 cnf(c_25, plain, ~'inner$upoint'(X0,X1) | ~'end$upoint'(X0,X1), inference(clausification, [status(esa)], [inner_point_defn])).
% 27.60/4.38 cnf(c_54, plain, ~'between$uc'(X0,X1,X2,X3) | X4(X0,X1,X2,X3), inference(clausification, [status(esa)], [between_c_defn])).
% 27.60/4.38 cnf(c_56, plain, ~X0(X1,X2,X3,X4) | X2 != X4, inference(clausification, [status(esa)], [between_c_defn])).
% 27.60/4.38 cnf(c_57, plain, ~X0(X1,X2,X3,X4) | 'part$uof'(sK68(X2,X3,X1,X4),X1), inference(clausification, [status(esa)], [between_c_defn])).
% 27.60/4.38 cnf(c_58, plain, ~X0(X1,X2,X3,X4) | 'end$upoint'(X2,sK68(X2,X3,X1,X4)), inference(clausification, [status(esa)], [between_c_defn])).
% 27.60/4.38 cnf(c_59, plain, ~X0(X1,X2,X3,X4) | 'end$upoint'(X4,sK68(X2,X3,X1,X4)), inference(clausification, [status(esa)], [between_c_defn])).
% 27.60/4.38 cnf(c_60, plain, ~X0(X1,X2,X3,X4) | 'inner$upoint'(X3,sK68(X2,X3,X1,X4)), inference(clausification, [status(esa)], [between_c_defn])).
% 27.60/4.38 cnf(c_62, plain, 'between$uc'(sK70,sK71,sK72,sK73), inference(clausification, [status(esa)], [negated_conjecture])).
% 27.60/4.38 cnf(c_63, plain, ~'incident$uc'(sK72,sK70) | ~'incident$uc'(sK73,sK70) | sK71 = sK73 | ~'incident$uc'(sK71,sK70) | sK72 = sK73 | sK71 = sK72, inference(clausification, [status(esa)], [negated_conjecture])).
% 27.60/4.38 cnf(d0, plain, 'Ts63'(sK70,sK71,sK72,sK73), inference(resolution, [status(thm)], [c_54,c_62])).
% 27.60/4.38 cnf(d1, plain, ~'Ts63'(X0,X1,X2,X3) | 'incident$uc'(X2,sK68(X1,X2,X0,X3)), inference(resolution, [status(thm)], [c_60,c_24])).
% 27.60/4.38 cnf(d2, plain, ~'Ts63'(X0,X1,X2,X3) | 'incident$uc'(X4,X0) | ~'incident$uc'(X4,sK68(X1,X2,X0,X3)), inference(resolution, [status(thm)], [c_57,c_0])).
% 27.60/4.38 cnf(d3, plain, 'incident$uc'(X0,X1) | ~'Ts63'(X1,X2,X0,X3) | ~'Ts63'(X1,X2,X0,X3), inference(resolution, [status(thm)], [d2,d1])).
% 27.60/4.38 cnf(d4, plain, 'incident$uc'(sK72,sK70), inference(resolution, [status(thm)], [d3,d0])).
% 27.60/4.38 cnf(d5, plain, sK71 = sK72 | sK71 = sK73 | sK72 = sK73 | ~'incident$uc'(sK71,sK70) | ~'incident$uc'(sK73,sK70), inference(resolution, [status(thm)], [d4,c_63])).
% 27.60/4.38 cnf(d6, plain, ~'Ts63'(X0,X1,X2,X3) | 'incident$uc'(X3,sK68(X1,X2,X0,X3)), inference(resolution, [status(thm)], [c_59,c_14])).
% 27.60/4.38 cnf(d7, plain, 'incident$uc'(X0,X1) | ~'Ts63'(X1,X2,X3,X0) | ~'Ts63'(X1,X2,X3,X0), inference(resolution, [status(thm)], [d2,d6])).
% 27.60/4.38 cnf(d8, plain, 'incident$uc'(sK73,sK70), inference(resolution, [status(thm)], [d7,d0])).
% 27.60/4.38 cnf(d9, plain, sK71 = sK72 | sK71 = sK73 | sK72 = sK73 | ~'incident$uc'(sK71,sK70), inference(resolution, [status(thm)], [d8,d5])).
% 27.60/4.38 cnf(d10, plain, ~'Ts63'(X0,X1,X2,X3) | 'incident$uc'(X1,sK68(X1,X2,X0,X3)), inference(resolution, [status(thm)], [c_58,c_14])).
% 27.60/4.38 cnf(d11, plain, 'incident$uc'(X0,X1) | ~'Ts63'(X1,X0,X2,X3) | ~'Ts63'(X1,X0,X2,X3), inference(resolution, [status(thm)], [d2,d10])).
% 27.60/4.38 cnf(d12, plain, 'incident$uc'(sK71,sK70), inference(resolution, [status(thm)], [d11,d0])).
% 27.60/4.38 cnf(d13, plain, sK71 = sK72 | sK71 = sK73 | sK72 = sK73, inference(resolution, [status(thm)], [d12,d9])).
% 27.60/4.38 cnf(d14, plain, 'Ts63'(sK70,sK71,sK72,sK72) | sK71 = sK72 | sK71 = sK73, inference(superposition, [status(thm)], [d13,d0])).
% 27.60/4.38 cnf(d15, plain, ~'Ts63'(X0,X1,X2,X3) | ~'end$upoint'(X2,sK68(X1,X2,X0,X3)), inference(resolution, [status(thm)], [c_60,c_25])).
% 27.60/4.38 cnf(d16, plain, ~'Ts63'(X0,X1,X2,X2) | ~'Ts63'(X0,X1,X2,X2), inference(resolution, [status(thm)], [d15,c_59])).
% 27.60/4.38 cnf(d17, plain, sK71 = sK72 | sK71 = sK73, inference(resolution, [status(thm)], [d16,d14])).
% 27.60/4.38 cnf(d18, plain, 'Ts63'(sK70,sK71,sK72,sK71) | sK71 = sK72, inference(superposition, [status(thm)], [d17,d0])).
% 27.60/4.38 cnf(d19, plain, ~'Ts63'(X0,X1,X2,X1), inference(equality_resolution, [status(thm)], [c_56])).
% 27.60/4.38 cnf(d20, plain, sK71 = sK72, inference(resolution, [status(thm)], [d19,d18])).
% 27.60/4.38 cnf(d21, plain, 'Ts63'(sK70,sK71,sK71,sK73), inference(demodulation, [status(thm)], [d0,d20])).
% 27.60/4.38 cnf(d22, plain, ~'Ts63'(X0,X1,X1,X2) | ~'Ts63'(X0,X1,X1,X2), inference(resolution, [status(thm)], [d15,c_58])).
% 27.60/4.38 cnf(d23, plain, $false, inference(resolution, [status(thm)], [d22,d21])).
% 27.60/4.38 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------