%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : GEO342+1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n002.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 07:15:07 AM UTC 2026 % Result : Theorem 26.73s 13.95s % Output : CNFRefutation 26.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : GEO342+1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.07/5.39 % Computer : n002.cluster.edu % 0.07/5.39 % Model : x86_64 x86_64 % 0.07/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/5.39 % Memory : 8046.5625MB % 0.07/5.39 % OS : Linux 6.8.0-71-generic % 0.07/5.39 % CPULimit : 300 % 0.07/5.39 % WCLimit : 300 % 0.07/5.39 % DateTime : Fri Sep 25 13:24:12 UTC 2026 % 0.07/5.39 % CPUTime : % 0.07/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 26.73/13.95 % SZS status Theorem for theBenchmark.p % 26.73/13.95 % SZS output start CNFRefutation for theBenchmark.p % 26.73/13.95 fof(and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405)))))))))))), axiom, (vd1406 = vd1407 & (ron(vd1400,vd1406) & (ron(vd1399,vd1406) & (rline(vd1407) & (vd1400 != vd1401 & (vd1399 != vd1401 & (vd1399 != vd1400 & (? [X0] : ((vd1401 = X0 & rpoint(X0))) & (? [X1] : ((vd1400 = X1 & rpoint(X1))) & ? [X2] : ((vd1399 = X2 & rpoint(X2))))))))))))). % 26.73/13.95 fof(qu(cond(axiom(51), 0), imp(cond(axiom(51), 0))), axiom, ! [X0] : ! [X1] : (((X0 != X1 & (? [X2] : ((X1 = X2 & rpoint(X2))) & ? [X3] : ((X0 = X3 & rpoint(X3))))) => ? [X4] : ((ron(X1,X4) & (ron(X0,X4) & rline(X4))))))). % 26.73/13.95 fof(qe(thee(the(408), 1)), conjecture, ? [X0] : ((ron(vd1399,X0) & (ron(vd1401,X0) & rline(X0))))). % 26.73/13.95 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((ron(vd1399,X0) & (ron(vd1401,X0) & rline(X0)))), inference(negate_conjecture, [status(cth)], [qe(thee(the(408), 1))])). % 26.73/13.95 cnf(c11, plain, vd1399 != vd1401, inference(clausification, [status(esa)], [and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))])). % 26.73/13.95 cnf(c13, plain, vd1401 = sK0, inference(clausification, [status(esa)], [and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))])). % 26.73/13.95 cnf(c14, plain, rpoint(sK0), inference(clausification, [status(esa)], [and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))])). % 26.73/13.95 cnf(c17, plain, vd1399 = sK2, inference(clausification, [status(esa)], [and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))])). % 26.73/13.95 cnf(c18, plain, rpoint(sK2), inference(clausification, [status(esa)], [and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))])). % 26.73/13.95 cnf(c61, plain, X0 != X1 | X0 = X2 | X2 != X3 | ~rpoint(X3) | ~rpoint(X1) | ron(X2,sK191(X0,X2)), inference(clausification, [status(esa)], [qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))])). % 26.73/13.95 cnf(c62, plain, X0 != X1 | X0 = X2 | ron(X0,sK191(X0,X2)) | ~rpoint(X1) | X2 != X3 | ~rpoint(X3), inference(clausification, [status(esa)], [qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))])). % 26.73/13.95 cnf(c63, plain, X0 != X1 | X0 = X2 | ~rpoint(X1) | rline(sK191(X0,X2)) | X2 != X3 | ~rpoint(X3), inference(clausification, [status(esa)], [qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))])). % 26.73/13.95 cnf(c285, plain, ~ron(vd1399,X0) | ~ron(vd1401,X0) | ~rline(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 26.73/13.95 cnf(d0, plain, X0 != X1 | X0 = X2 | ~rpoint(X1) | ~rpoint(X2) | rline(sK191(X0,X2)), inference(equality_resolution, [status(thm)], [c63])). % 26.73/13.95 cnf(d1, plain, X0 = X1 | ~rpoint(X1) | ~rpoint(X0) | rline(sK191(X0,X1)), inference(equality_resolution, [status(thm)], [d0])). % 26.73/13.95 cnf(d2, plain, X0 != X1 | X0 = X2 | ~rpoint(X1) | ~rpoint(X2) | ron(X2,sK191(X0,X2)), inference(equality_resolution, [status(thm)], [c61])). % 26.73/13.95 cnf(d3, plain, X0 = X1 | ~rpoint(X1) | ~rpoint(X0) | ron(X1,sK191(X0,X1)), inference(equality_resolution, [status(thm)], [d2])). % 26.73/13.95 cnf(d4, plain, X0 = vd1401 | ~rpoint(vd1401) | ~rpoint(X0) | ~ron(vd1399,sK191(X0,vd1401)) | ~rline(sK191(X0,vd1401)), inference(resolution, [status(thm)], [d3,c285])). % 26.73/13.95 cnf(d5, plain, rpoint(vd1401), inference(demodulation, [status(thm)], [c14,c13])). % 26.73/13.95 cnf(d6, plain, X0 = vd1401 | ~rpoint(X0) | ~ron(vd1399,sK191(X0,vd1401)) | ~rline(sK191(X0,vd1401)), inference(resolution, [status(thm)], [d5,d4])). % 26.73/13.95 cnf(d7, plain, X0 != X1 | X0 = X2 | ~rpoint(X1) | ~rpoint(X2) | ron(X0,sK191(X0,X2)), inference(equality_resolution, [status(thm)], [c62])). % 26.73/13.95 cnf(d8, plain, X0 = X1 | ~rpoint(X1) | ~rpoint(X0) | ron(X0,sK191(X0,X1)), inference(equality_resolution, [status(thm)], [d7])). % 26.73/13.95 cnf(d9, plain, vd1399 = vd1401 | ~rpoint(vd1401) | ~rpoint(vd1399) | vd1399 = vd1401 | ~rpoint(vd1399) | ~rline(sK191(vd1399,vd1401)), inference(resolution, [status(thm)], [d8,d6])). % 26.73/13.95 cnf(d10, plain, vd1399 = vd1401 | ~rpoint(vd1399) | ~rline(sK191(vd1399,vd1401)), inference(resolution, [status(thm)], [d5,d9])). % 26.73/13.95 cnf(d11, plain, rpoint(vd1399), inference(demodulation, [status(thm)], [c18,c17])). % 26.73/13.95 cnf(d12, plain, vd1399 = vd1401 | ~rline(sK191(vd1399,vd1401)), inference(resolution, [status(thm)], [d11,d10])). % 26.73/13.95 cnf(d13, plain, ~rline(sK191(vd1399,vd1401)), inference(resolution, [status(thm)], [c11,d12])). % 26.73/13.95 cnf(d14, plain, vd1399 = vd1401 | ~rpoint(vd1401) | ~rpoint(vd1399), inference(resolution, [status(thm)], [d13,d1])). % 26.73/13.95 cnf(d15, plain, vd1399 = vd1401 | ~rpoint(vd1399), inference(resolution, [status(thm)], [d5,d14])). % 26.73/13.95 cnf(d16, plain, vd1399 = vd1401, inference(resolution, [status(thm)], [d11,d15])). % 26.73/13.95 cnf(d17, plain, $false, inference(resolution, [status(thm)], [c11,d16])). % 26.73/13.95 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------