%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO082+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 : n005.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 07:14:07 AM UTC 2026
% Result : Theorem 13.69s 2.13s
% Output : CNFRefutation 13.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO082+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
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 12:40:18 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.69/2.13 % SZS status Theorem for theBenchmark.p
% 13.69/2.13 % SZS output start CNFRefutation for theBenchmark.p
% 13.69/2.13 fof(part_of_defn, axiom, ! [X0] : ! [X1] : (('part$uof'(X1,X0) <=> ! [X2] : (('incident$uc'(X2,X1) => 'incident$uc'(X2,X0)))))).
% 13.69/2.13 fof(sum_defn, axiom, ! [X0] : ! [X1] : ! [X2] : ((X0 = sum(X1,X2) <=> ! [X3] : (('incident$uc'(X3,X0) <=> ('incident$uc'(X3,X1) | 'incident$uc'(X3,X2))))))).
% 13.69/2.13 fof(part_of_antisymmetry, conjecture, ! [X0] : ! [X1] : ((('part$uof'(X0,X1) & 'part$uof'(X1,X0)) => X0 = X1))).
% 13.69/2.13 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((('part$uof'(X0,X1) & 'part$uof'(X1,X0)) => X0 = X1)), inference(negate_conjecture, [status(cth)], [part_of_antisymmetry])).
% 13.69/2.13 cnf(c_0, plain, ~'part$uof'(X0,X1) | ~'incident$uc'(X2,X0) | 'incident$uc'(X2,X1), inference(clausification, [status(esa)], [part_of_defn])).
% 13.69/2.13 cnf(c_4, plain, X0 = sum(X1,X2) | ~X3(X0,X1,X2), inference(clausification, [status(esa)], [sum_defn])).
% 13.69/2.13 cnf(c_9, plain, X0(X1,X2,X3) | 'incident$uc'(sK9(X1,X2,X3),X1) | 'incident$uc'(sK9(X1,X2,X3),X2) | 'incident$uc'(sK9(X1,X2,X3),X3), inference(clausification, [status(esa)], [sum_defn])).
% 13.69/2.13 cnf(c_10, plain, X0(X1,X2,X3) | ~'incident$uc'(sK9(X1,X2,X3),X2) | ~'incident$uc'(sK9(X1,X2,X3),X1), inference(clausification, [status(esa)], [sum_defn])).
% 13.69/2.13 cnf(c_54, plain, 'part$uof'(sK63,sK64), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.69/2.13 cnf(c_55, plain, 'part$uof'(sK64,sK63), inference(clausification, [status(esa)], [negated_conjecture])).
% 13.69/2.13 cnf(c_56, plain, sK63 != sK64, inference(clausification, [status(esa)], [negated_conjecture])).
% 13.69/2.13 cnf(d0, plain, 'incident$uc'(X0,sK63) | ~'incident$uc'(X0,sK64), inference(resolution, [status(thm)], [c_55,c_0])).
% 13.69/2.13 cnf(d1, plain, 'incident$uc'(X0,sK64) | ~'incident$uc'(X0,sK63), inference(resolution, [status(thm)], [c_0,c_54])).
% 13.69/2.13 cnf(d2, plain, 'incident$uc'(sK9(X0,X1,sK63),X1) | 'incident$uc'(sK9(X0,X1,sK63),X0) | 'Ts4'(X0,X1,sK63) | 'incident$uc'(sK9(X0,X1,sK63),sK64), inference(resolution, [status(thm)], [c_9,d1])).
% 13.69/2.13 cnf(d3, plain, 'incident$uc'(sK9(X0,sK63,sK63),X0) | 'incident$uc'(sK9(X0,sK63,sK63),sK64) | 'Ts4'(X0,sK63,sK63) | 'incident$uc'(sK9(X0,sK63,sK63),sK64), inference(resolution, [status(thm)], [d2,d1])).
% 13.69/2.13 cnf(d4, plain, 'incident$uc'(sK9(sK63,sK63,sK63),sK64) | 'Ts4'(sK63,sK63,sK63) | 'incident$uc'(sK9(sK63,sK63,sK63),sK64), inference(resolution, [status(thm)], [d3,d1])).
% 13.69/2.13 cnf(d5, plain, 'Ts4'(sK63,sK63,sK63) | 'incident$uc'(sK9(sK63,sK63,sK63),sK63), inference(resolution, [status(thm)], [d4,d0])).
% 13.69/2.13 cnf(d6, plain, 'Ts4'(sK63,sK63,sK63) | ~'incident$uc'(sK9(sK63,sK63,sK63),sK63) | 'Ts4'(sK63,sK63,sK63), inference(resolution, [status(thm)], [d5,c_10])).
% 13.69/2.13 cnf(d7, plain, 'Ts4'(sK63,sK63,sK63) | 'Ts4'(sK63,sK63,sK63), inference(resolution, [status(thm)], [d6,d5])).
% 13.69/2.13 cnf(d8, plain, sK63 = sum(sK63,sK63), inference(resolution, [status(thm)], [d7,c_4])).
% 13.69/2.13 cnf(d9, plain, 'incident$uc'(sK9(sK64,sK63,sK63),sK64) | 'Ts4'(sK64,sK63,sK63), inference(factoring, [status(thm)], [d3])).
% 13.69/2.13 cnf(d10, plain, 'Ts4'(sK64,sK63,sK63) | ~'incident$uc'(sK9(sK64,sK63,sK63),sK63) | 'Ts4'(sK64,sK63,sK63), inference(resolution, [status(thm)], [d9,c_10])).
% 13.69/2.13 cnf(d11, plain, 'Ts4'(sK64,sK63,sK63) | 'incident$uc'(sK9(sK64,sK63,sK63),sK63), inference(resolution, [status(thm)], [d9,d0])).
% 13.69/2.13 cnf(d12, plain, 'Ts4'(sK64,sK63,sK63) | 'Ts4'(sK64,sK63,sK63), inference(resolution, [status(thm)], [d11,d10])).
% 13.69/2.13 cnf(d13, plain, sK64 = sum(sK63,sK63), inference(resolution, [status(thm)], [d12,c_4])).
% 13.69/2.13 cnf(d14, plain, sK64 = sK63, inference(demodulation, [status(thm)], [d13,d8])).
% 13.69/2.13 cnf(d15, plain, sK63 != sK63, inference(demodulation, [status(thm)], [c_56,d14])).
% 13.69/2.13 cnf(d16, plain, $false, inference(equality_resolution, [status(thm)], [d15])).
% 13.69/2.13 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------