%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : GEO275+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 : n026.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 4.54s 24.19s % Output : CNFRefutation 4.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : GEO275+1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.16/0.41 % Computer : n026.cluster.edu % 0.16/0.41 % Model : x86_64 x86_64 % 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.41 % Memory : 8046.5625MB % 0.16/0.41 % OS : Linux 6.8.0-71-generic % 0.16/0.41 % CPULimit : 300 % 0.16/0.41 % WCLimit : 300 % 0.16/0.41 % DateTime : Fri Sep 25 13:14:55 UTC 2026 % 0.16/0.41 % CPUTime : % 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 4.54/24.19 % SZS status Theorem for theBenchmark.p % 4.54/24.19 % SZS output start CNFRefutation for theBenchmark.p % 4.54/24.19 fof(and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0))), axiom, (ron(vd1081,vd1095) & (rcenter(vd1080,vd1095) & rcircle(vd1095)))). % 4.54/24.19 fof(qe(s2(plural(224))), axiom, ? [X0] : ((vd1081 = X0 & rpoint(X0)))). % 4.54/24.19 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))). % 4.54/24.19 fof(qu(theu(the(228), 1), imp(the(228))), conjecture, ! [X0] : (((ron(vd1081,X0) & (rcenter(vd1080,X0) & rcircle(X0))) => X0 = vd1095))). % 4.54/24.19 fof(negated_conjecture, negated_conjecture, ~! [X0] : (((ron(vd1081,X0) & (rcenter(vd1080,X0) & rcircle(X0))) => X0 = vd1095)), inference(negate_conjecture, [status(cth)], [qu(theu(the(228), 1), imp(the(228)))])). % 4.54/24.19 cnf(c0, plain, ron(vd1081,vd1095), inference(clausification, [status(esa)], [and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))])). % 4.54/24.19 cnf(c1, plain, rcenter(vd1080,vd1095), inference(clausification, [status(esa)], [and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))])). % 4.54/24.19 cnf(c9, plain, vd1081 = sK1, inference(clausification, [status(esa)], [qe(s2(plural(224)))])). % 4.54/24.19 cnf(c10, plain, rpoint(sK1), inference(clausification, [status(esa)], [qe(s2(plural(224)))])). % 4.54/24.19 cnf(c241, plain, ~ron(X0,X1) | ~rpoint(X2) | ~rcenter(X3,X4) | X4 = X1 | ~rcenter(X3,X1) | ~ron(X5,X4) | X5 != X6 | X0 != X2 | ~rpoint(X6) | vf(X3,X5) != vf(X3,X0), inference(clausification, [status(esa)], [qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))])). % 4.54/24.19 cnf(c266, plain, ron(vd1081,sK747), inference(clausification, [status(esa)], [negated_conjecture])). % 4.54/24.19 cnf(c267, plain, rcenter(vd1080,sK747), inference(clausification, [status(esa)], [negated_conjecture])). % 4.54/24.19 cnf(c269, plain, sK747 != vd1095, inference(clausification, [status(esa)], [negated_conjecture])). % 4.54/24.19 cnf(d0, plain, X0 != X1 | X0 != X2 | X3 = X4 | ~ron(X0,X3) | ~ron(X0,X4) | ~rcenter(X5,X3) | ~rcenter(X5,X4) | ~rpoint(X2) | ~rpoint(X1), inference(equality_resolution, [status(thm)], [c241])). % 4.54/24.19 cnf(d1, plain, X0 = X1 | X2 != X3 | ~ron(X2,X1) | ~ron(X2,X0) | ~rcenter(X4,X1) | ~rcenter(X4,X0) | ~rpoint(X3) | ~rpoint(X2), inference(equality_resolution, [status(thm)], [d0])). % 4.54/24.19 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])). % 4.54/24.19 cnf(d3, plain, sK747 = X0 | ~ron(X1,X0) | ~ron(X1,sK747) | ~rcenter(vd1080,X0) | ~rpoint(X1), inference(resolution, [status(thm)], [d2,c267])). % 4.54/24.19 cnf(d4, plain, sK747 = vd1095 | ~ron(X0,vd1095) | ~ron(X0,sK747) | ~rpoint(X0), inference(resolution, [status(thm)], [d3,c1])). % 4.54/24.19 cnf(d5, plain, ~ron(X0,vd1095) | ~ron(X0,sK747) | ~rpoint(X0), inference(resolution, [status(thm)], [c269,d4])). % 4.54/24.19 cnf(d6, plain, ~ron(vd1081,vd1095) | ~rpoint(vd1081), inference(resolution, [status(thm)], [d5,c266])). % 4.54/24.19 cnf(d7, plain, ~rpoint(vd1081), inference(resolution, [status(thm)], [c0,d6])). % 4.54/24.19 cnf(d8, plain, rpoint(vd1081), inference(demodulation, [status(thm)], [c10,c9])). % 4.54/24.19 cnf(d9, plain, $false, inference(resolution, [status(thm)], [d8,d7])). % 4.54/24.19 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------