%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : GEO299+1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n010.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 07:15:04 AM UTC 2026 % Result : Theorem 63.98s 15.67s % Output : CNFRefutation 63.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : GEO299+1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.36 % Computer : n010.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Fri Sep 25 13:14:48 UTC 2026 % 0.02/0.36 % CPUTime : % 0.02/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 63.98/15.67 % SZS status Theorem for theBenchmark.p % 63.98/15.67 % SZS output start CNFRefutation for theBenchmark.p % 63.98/15.67 fof(holds(323, 1254, 0), axiom, rR(vd1201,vd1185,vd1187)). % 63.98/15.67 fof(qu(cond(axiom(180), 0), imp(cond(axiom(180), 0))), axiom, ! [X0] : ! [X1] : ! [X2] : (((rR(X1,X0,X2) & (? [X3] : ((X2 = X3 & rpoint(X3))) & (? [X4] : ((X1 = X4 & rpoint(X4))) & ? [X5] : ((X0 = X5 & rpoint(X5)))))) => vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)))). % 63.98/15.67 fof(qe(s3(plural(271))), axiom, ? [X0] : ((vd1201 = X0 & rpoint(X0)))). % 63.98/15.67 fof(and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268))))))))))))))), axiom, (~? [X0] : ((ron(vd1187,X0) & (ron(vd1186,X0) & (ron(vd1185,X0) & rline(X0))))) & (vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187) & (vf(vd1178,vd1180) = vf(vd1185,vd1187) & (vf(vd1178,vd1179) = vf(vd1185,vd1186) & (? [X1] : ((vd1187 = X1 & rpoint(X1))) & (? [X2] : ((vd1186 = X2 & rpoint(X2))) & (? [X3] : ((vd1185 = X3 & rpoint(X3))) & (vd1179 != vd1180 & (vd1178 != vd1180 & (vd1178 != vd1179 & (? [X4] : ((vd1180 = X4 & rpoint(X4))) & (? [X5] : ((vd1179 = X5 & rpoint(X5))) & ? [X6] : ((vd1178 = X6 & rpoint(X6)))))))))))))))). % 63.98/15.67 fof(holds(291, 1230, 0), axiom, vd1199 = vd1185). % 63.98/15.67 fof(holds(314, 1247, 0), axiom, vf(vd1199,vd1201) = vf(vd1185,vd1187)). % 63.98/15.67 fof(holds(324, 1255, 0), conjecture, vf(vd1185,vd1187) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187))). % 63.98/15.67 fof(negated_conjecture, negated_conjecture, vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)), inference(negate_conjecture, [status(cth)], [holds(324, 1255, 0)])). % 63.98/15.67 cnf(c0, plain, rR(vd1201,vd1185,vd1187), inference(clausification, [status(esa)], [holds(323, 1254, 0)])). % 63.98/15.67 cnf(c5, plain, ~rpoint(X0) | vf(X1,X2) = vplus(vf(X1,X3),vf(X3,X2)) | X4 != X2 | ~rpoint(X5) | ~rpoint(X4) | ~rR(X3,X1,X2) | X0 != X1 | X5 != X3, inference(clausification, [status(esa)], [qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))])). % 63.98/15.67 cnf(c19, plain, sK14 = vd1201, inference(clausification, [status(esa)], [qe(s3(plural(271)))])). % 63.98/15.67 cnf(c20, plain, rpoint(sK14), inference(clausification, [status(esa)], [qe(s3(plural(271)))])). % 63.98/15.67 cnf(c27, plain, sK17 = vd1187, inference(clausification, [status(esa)], [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])). % 63.98/15.67 cnf(c28, plain, rpoint(sK17), inference(clausification, [status(esa)], [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])). % 63.98/15.67 cnf(c29, plain, sK18 = vd1185, inference(clausification, [status(esa)], [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])). % 63.98/15.67 cnf(c30, plain, rpoint(sK18), inference(clausification, [status(esa)], [and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))])). % 63.98/15.67 cnf(c97, plain, vd1199 = vd1185, inference(clausification, [status(esa)], [holds(291, 1230, 0)])). % 63.98/15.67 cnf(c121, plain, vf(vd1199,vd1201) = vf(vd1185,vd1187), inference(clausification, [status(esa)], [holds(314, 1247, 0)])). % 63.98/15.67 cnf(c319, plain, vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)) != vf(vd1185,vd1187), inference(clausification, [status(esa)], [negated_conjecture])). % 63.98/15.67 cnf(d0, plain, vf(vd1185,vd1201) = vf(vd1185,vd1187), inference(demodulation, [status(thm)], [c121,c97])). % 63.98/15.67 cnf(d1, plain, X0 != X1 | X2 != X3 | vf(X4,X1) = vplus(vf(X4,X3),vf(X3,X1)) | ~rR(X3,X4,X1) | ~rpoint(X0) | ~rpoint(X2) | ~rpoint(X4), inference(equality_resolution, [status(thm)], [c5])). % 63.98/15.67 cnf(d2, plain, X0 != X1 | vf(X2,X3) = vplus(vf(X2,X1),vf(X1,X3)) | ~rR(X1,X2,X3) | ~rpoint(X2) | ~rpoint(X0) | ~rpoint(X3), inference(equality_resolution, [status(thm)], [d1])). % 63.98/15.67 cnf(d3, plain, vf(X0,X1) = vplus(vf(X0,X2),vf(X2,X1)) | ~rR(X2,X0,X1) | ~rpoint(X1) | ~rpoint(X0) | ~rpoint(X2), inference(equality_resolution, [status(thm)], [d2])). % 63.98/15.67 cnf(d4, plain, vf(vd1185,vd1187) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)) | ~rpoint(vd1201) | ~rpoint(vd1187) | ~rpoint(vd1185), inference(resolution, [status(thm)], [d3,c0])). % 63.98/15.67 cnf(d5, plain, vf(vd1185,vd1201) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)) | ~rpoint(vd1201) | ~rpoint(vd1185) | ~rpoint(vd1187), inference(demodulation, [status(thm)], [d4,d0])). % 63.98/15.67 cnf(d6, plain, rpoint(vd1187), inference(demodulation, [status(thm)], [c28,c27])). % 63.98/15.67 cnf(d7, plain, vf(vd1185,vd1201) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)) | ~rpoint(vd1201) | ~rpoint(vd1185), inference(resolution, [status(thm)], [d6,d5])). % 63.98/15.67 cnf(d8, plain, rpoint(vd1185), inference(demodulation, [status(thm)], [c30,c29])). % 63.98/15.67 cnf(d9, plain, vf(vd1185,vd1201) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)) | ~rpoint(vd1201), inference(resolution, [status(thm)], [d8,d7])). % 63.98/15.67 cnf(d10, plain, rpoint(vd1201), inference(demodulation, [status(thm)], [c20,c19])). % 63.98/15.67 cnf(d11, plain, vf(vd1185,vd1201) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)), inference(resolution, [status(thm)], [d10,d9])). % 63.98/15.67 cnf(d12, plain, vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)) != vf(vd1185,vd1201), inference(demodulation, [status(thm)], [c319,d0])). % 63.98/15.67 cnf(d13, plain, vf(vd1185,vd1201) != vf(vd1185,vd1201), inference(demodulation, [status(thm)], [d12,d11])). % 63.98/15.67 cnf(d14, plain, $false, inference(equality_resolution, [status(thm)], [d13])). % 63.98/15.67 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------