%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : GEO305+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 : n003.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 07:15:05 AM UTC 2026 % Result : Theorem 212.17s 35.80s % Output : CNFRefutation 212.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : GEO305+1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.10/0.38 % Computer : n003.cluster.edu % 0.10/0.38 % Model : x86_64 x86_64 % 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.38 % Memory : 8046.5625MB % 0.10/0.38 % OS : Linux 6.8.0-71-generic % 0.10/0.38 % CPULimit : 300 % 0.10/0.38 % WCLimit : 300 % 0.10/0.38 % DateTime : Fri Sep 25 13:17:23 UTC 2026 % 0.10/0.38 % CPUTime : % 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 212.17/35.80 % SZS status Theorem for theBenchmark.p % 212.17/35.80 % SZS output start CNFRefutation for theBenchmark.p % 212.17/35.80 fof(and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0)))), axiom, (vd1302 = vd1303 & (rR(vd1289,vd1287,vd1302) & (rpoint(vd1303) & rR(vd1288,vd1287,vd1299))))). % 212.17/35.80 fof(pred(s2(plural(347)), 0), axiom, ron(vd1289,vd1297)). % 212.17/35.80 fof(pred(s1(plural(347)), 0), axiom, ron(vd1287,vd1297)). % 212.17/35.80 fof(pred(347, 0), axiom, rline(vd1297)). % 212.17/35.80 fof(and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345))))))))), axiom, (vf(vd1287,vd1288) = vf(vd1287,vd1289) & (vd1288 != vd1289 & (vd1287 != vd1289 & (vd1287 != vd1288 & (? [X0] : ((vd1289 = X0 & rpoint(X0))) & (? [X1] : ((vd1288 = X1 & rpoint(X1))) & ? [X2] : ((vd1287 = X2 & rpoint(X2)))))))))). % 212.17/35.80 fof(qu(cond(axiom(83), 0), imp(cond(axiom(83), 0))), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((X3 = X4 & (ron(X1,X3) & (ron(X0,X3) & (rR(X1,X0,X2) & (rline(X4) & (? [X5] : ((X2 = X5 & rpoint(X5))) & (? [X6] : ((X1 = X6 & rpoint(X6))) & ? [X7] : ((X0 = X7 & rpoint(X7)))))))))) => ron(X2,X3)))). % 212.17/35.80 fof(pred(conjunct2(349), 0), conjecture, ron(vd1302,vd1297)). % 212.17/35.80 fof(negated_conjecture, negated_conjecture, ~ron(vd1302,vd1297), inference(negate_conjecture, [status(cth)], [pred(conjunct2(349), 0)])). % 212.17/35.80 cnf(c2, plain, vd1303 = vd1302, inference(clausification, [status(esa)], [and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))])). % 212.17/35.80 cnf(c3, plain, rpoint(vd1303), inference(clausification, [status(esa)], [and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))])). % 212.17/35.80 cnf(c5, plain, rR(vd1289,vd1287,vd1302), inference(clausification, [status(esa)], [and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))])). % 212.17/35.80 cnf(c7, plain, ron(vd1289,vd1297), inference(clausification, [status(esa)], [pred(s2(plural(347)), 0)])). % 212.17/35.80 cnf(c8, plain, ron(vd1287,vd1297), inference(clausification, [status(esa)], [pred(s1(plural(347)), 0)])). % 212.17/35.80 cnf(c9, plain, rline(vd1297), inference(clausification, [status(esa)], [pred(347, 0)])). % 212.17/35.80 cnf(c15, plain, sK0 = vd1289, inference(clausification, [status(esa)], [and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))])). % 212.17/35.80 cnf(c16, plain, rpoint(sK0), inference(clausification, [status(esa)], [and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))])). % 212.17/35.80 cnf(c17, plain, sK1 = vd1287, inference(clausification, [status(esa)], [and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))])). % 212.17/35.80 cnf(c18, plain, rpoint(sK1), inference(clausification, [status(esa)], [and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))])). % 212.17/35.80 cnf(c23, plain, X0 != X1 | X2 != X3 | X4 != X5 | ~rline(X4) | X6 != X7 | ~ron(X3,X5) | ~rpoint(X6) | ~ron(X7,X5) | ~rR(X3,X7,X1) | ron(X1,X5) | ~rpoint(X2) | ~rpoint(X0), inference(clausification, [status(esa)], [qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))])). % 212.17/35.80 cnf(c284, plain, ~ron(vd1302,vd1297), inference(clausification, [status(esa)], [negated_conjecture])). % 212.17/35.80 cnf(d0, plain, X0 != X1 | X2 != X3 | X4 != X5 | ~ron(X3,X1) | ron(X5,X1) | ~ron(X6,X1) | ~rpoint(X2) | ~rpoint(X4) | ~rpoint(X6) | ~rR(X3,X6,X5) | ~rline(X0), inference(equality_resolution, [status(thm)], [c23])). % 212.17/35.80 cnf(d1, plain, X0 != X1 | X2 != X3 | ~ron(X4,X5) | ron(X1,X5) | ~ron(X3,X5) | ~rpoint(X4) | ~rpoint(X0) | ~rpoint(X2) | ~rR(X3,X4,X1) | ~rline(X5), inference(equality_resolution, [status(thm)], [d0])). % 212.17/35.80 cnf(d2, plain, X0 != X1 | ~ron(X2,X3) | ~ron(X1,X3) | ron(X4,X3) | ~rpoint(X2) | ~rpoint(X0) | ~rpoint(X4) | ~rR(X1,X2,X4) | ~rline(X3), inference(equality_resolution, [status(thm)], [d1])). % 212.17/35.80 cnf(d3, plain, ron(X0,X1) | ~ron(X2,X1) | ~ron(X3,X1) | ~rpoint(X0) | ~rpoint(X2) | ~rpoint(X3) | ~rR(X3,X2,X0) | ~rline(X1), inference(equality_resolution, [status(thm)], [d2])). % 212.17/35.80 cnf(d4, plain, ~ron(vd1289,X0) | ~ron(vd1287,X0) | ron(vd1302,X0) | ~rpoint(vd1289) | ~rpoint(vd1287) | ~rpoint(vd1302) | ~rline(X0), inference(resolution, [status(thm)], [d3,c5])). % 212.17/35.80 cnf(d5, plain, rpoint(vd1289), inference(demodulation, [status(thm)], [c16,c15])). % 212.17/35.80 cnf(d6, plain, ron(vd1302,X0) | ~ron(vd1287,X0) | ~ron(vd1289,X0) | ~rpoint(vd1302) | ~rpoint(vd1287) | ~rline(X0), inference(resolution, [status(thm)], [d5,d4])). % 212.17/35.80 cnf(d7, plain, rpoint(vd1287), inference(demodulation, [status(thm)], [c18,c17])). % 212.17/35.80 cnf(d8, plain, ron(vd1302,X0) | ~ron(vd1287,X0) | ~ron(vd1289,X0) | ~rpoint(vd1302) | ~rline(X0), inference(resolution, [status(thm)], [d7,d6])). % 212.17/35.80 cnf(d9, plain, rpoint(vd1302), inference(demodulation, [status(thm)], [c3,c2])). % 212.17/35.80 cnf(d10, plain, ron(vd1302,X0) | ~ron(vd1287,X0) | ~ron(vd1289,X0) | ~rline(X0), inference(resolution, [status(thm)], [d9,d8])). % 212.17/35.80 cnf(d11, plain, ron(vd1302,vd1297) | ~ron(vd1287,vd1297) | ~rline(vd1297), inference(resolution, [status(thm)], [d10,c7])). % 212.17/35.80 cnf(d12, plain, ron(vd1302,vd1297) | ~rline(vd1297), inference(resolution, [status(thm)], [c8,d11])). % 212.17/35.80 cnf(d13, plain, ron(vd1302,vd1297), inference(resolution, [status(thm)], [c9,d12])). % 212.17/35.80 cnf(d14, plain, $false, inference(resolution, [status(thm)], [c284,d13])). % 212.17/35.80 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------