%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : GEO272+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 : n018.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 07:15:02 AM UTC 2026 % Result : Theorem 46.54s 10.63s % Output : CNFRefutation 46.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : GEO272+1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.45 % Computer : n018.cluster.edu % 0.19/0.45 % Model : x86_64 x86_64 % 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.45 % Memory : 8046.5625MB % 0.19/0.45 % OS : Linux 6.8.0-71-generic % 0.19/0.45 % CPULimit : 300 % 0.19/0.45 % WCLimit : 300 % 0.19/0.45 % DateTime : Fri Sep 25 13:14:21 UTC 2026 % 0.19/0.46 % CPUTime : % 0.19/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 46.54/10.63 % SZS status Theorem for theBenchmark.p % 46.54/10.63 % SZS output start CNFRefutation for theBenchmark.p % 46.54/10.63 fof(and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0))), axiom, (ron(vd1055,vd1063) & (rcenter(vd1057,vd1063) & rcircle(vd1063)))). % 46.54/10.63 fof(and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1))))), axiom, (vd1057 = vd1058 & (vd1055 != vd1057 & (rpoint(vd1058) & (vd1055 = vd1056 & rpoint(vd1056)))))). % 46.54/10.63 fof(qu(cond(axiom(182), 0), imp(cond(axiom(182), 0))), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((vf(X2,X0) = vf(X2,X1) & (ron(X1,X4) & (ron(X0,X3) & (rcenter(X2,X4) & (rcenter(X2,X3) & (? [X5] : ((X1 = X5 & rpoint(X5))) & ? [X6] : ((X0 = X6 & rpoint(X6))))))))) => X3 = X4))). % 46.54/10.63 fof(qu(theu(the(212), 1), imp(the(212))), conjecture, ! [X0] : (((ron(vd1055,X0) & (rcenter(vd1057,X0) & rcircle(X0))) => X0 = vd1063))). % 46.54/10.63 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((ron(vd1055,X0) & (rcenter(vd1057,X0) & rcircle(X0))) => X0 = vd1063)), inference(negate_conjecture, [status(cth)], [qu(theu(the(212), 1), imp(the(212)))])). % 46.54/10.63 cnf(c0, plain, ron(vd1055,vd1063), inference(clausification, [status(esa)], [and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))])). % 46.54/10.63 cnf(c1, plain, rcenter(vd1057,vd1063), inference(clausification, [status(esa)], [and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))])). % 46.54/10.63 cnf(c11, plain, vd1055 = vd1056, inference(clausification, [status(esa)], [and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))])). % 46.54/10.63 cnf(c12, plain, rpoint(vd1056), inference(clausification, [status(esa)], [and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))])). % 46.54/10.63 cnf(c18, plain, ~rpoint(X0) | ~rcenter(X1,X2) | ~rcenter(X1,X3) | ~ron(X4,X3) | X5 != X0 | X4 != X6 | vf(X1,X5) != vf(X1,X4) | ~rpoint(X6) | ~ron(X5,X2) | X2 = X3, inference(clausification, [status(esa)], [qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))])). % 46.54/10.63 cnf(c256, plain, ron(vd1055,sK733), inference(clausification, [status(esa)], [negated_conjecture])). % 46.54/10.63 cnf(c257, plain, rcenter(vd1057,sK733), inference(clausification, [status(esa)], [negated_conjecture])). % 46.54/10.63 cnf(c259, plain, sK733 != vd1063, inference(clausification, [status(esa)], [negated_conjecture])). % 46.54/10.63 cnf(d0, plain, X0 = X1 | X2 != X3 | X2 != X4 | ~ron(X2,X0) | ~ron(X2,X1) | ~rcenter(X5,X0) | ~rcenter(X5,X1) | ~rpoint(X3) | ~rpoint(X4), inference(equality_resolution, [status(thm)], [c18])). % 46.54/10.63 cnf(d1, plain, X0 != X1 | X2 = X3 | ~ron(X0,X3) | ~ron(X0,X2) | ~rcenter(X4,X3) | ~rcenter(X4,X2) | ~rpoint(X1) | ~rpoint(X0), inference(equality_resolution, [status(thm)], [d0])). % 46.54/10.63 cnf(d2, plain, X0 = X1 | ~ron(X2,X1) | ~ron(X2,X0) | ~rcenter(X3,X1) | ~rcenter(X3,X0) | ~rpoint(X2) | ~rpoint(X2), inference(equality_resolution, [status(thm)], [d1])). % 46.54/10.63 cnf(d3, plain, sK733 = X0 | ~ron(X1,X0) | ~ron(X1,sK733) | ~rcenter(vd1057,X0) | ~rpoint(X1), inference(resolution, [status(thm)], [d2,c257])). % 46.54/10.63 cnf(d4, plain, sK733 = vd1063 | ~ron(X0,vd1063) | ~ron(X0,sK733) | ~rpoint(X0), inference(resolution, [status(thm)], [d3,c1])). % 46.54/10.63 cnf(d5, plain, ~ron(X0,vd1063) | ~ron(X0,sK733) | ~rpoint(X0), inference(resolution, [status(thm)], [c259,d4])). % 46.54/10.63 cnf(d6, plain, ~ron(vd1055,vd1063) | ~rpoint(vd1055), inference(resolution, [status(thm)], [d5,c256])). % 46.54/10.63 cnf(d7, plain, ~rpoint(vd1055), inference(resolution, [status(thm)], [c0,d6])). % 46.54/10.63 cnf(d8, plain, rpoint(vd1055), inference(demodulation, [status(thm)], [c12,c11])). % 46.54/10.63 cnf(d9, plain, $false, inference(resolution, [status(thm)], [d8,d7])). % 46.54/10.63 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------