%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : GEO270+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 : n005.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 213.76s 53.60s % Output : CNFRefutation 213.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : GEO270+1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.16/0.41 % Computer : n005.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 13:11:32 UTC 2026 % 0.16/0.42 % CPUTime : % 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 213.76/53.60 % SZS status Theorem for theBenchmark.p % 213.76/53.60 % SZS output start CNFRefutation for theBenchmark.p % 213.76/53.60 fof(and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1))))), axiom, (vd1049 = vd1050 & (vd1047 != vd1049 & (rpoint(vd1050) & (vd1047 = vd1048 & rpoint(vd1048)))))). % 213.76/53.60 fof(ass(cond(proof(209), 0), 11), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((X2 = X3 & (X0 != X2 & (rpoint(X3) & (X0 = X1 & rpoint(X1))))) => (ron(X2,vskolem1061(X0,X1,X2,X3)) & (rcenter(X0,vskolem1061(X0,X1,X2,X3)) & rcircle(vskolem1061(X0,X1,X2,X3))))))). % 213.76/53.60 fof(qu(cond(axiom(184), 0), imp(cond(axiom(184), 0))), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (((ron(X4,X3) & (X4 = X5 & (rpoint(X5) & (rcenter(X2,X3) & (X0 = X1 & rpoint(X1)))))) => (vf(X2,X0) = vf(X2,X4) <=> ron(X0,X3))))). % 213.76/53.60 fof(qu(cond(axiom(166), 0), imp(cond(axiom(166), 0))), axiom, ! [X0] : ! [X1] : (((? [X2] : ((X1 = X2 & rpoint(X2))) & ? [X3] : ((X0 = X3 & rpoint(X3)))) => vf(X0,X1) = vf(X1,X0)))). % 213.76/53.60 fof(qu(cond(axiom(135), 0), imp(cond(axiom(135), 0))), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((ron(X1,X3) & (rinside(X0,X3) & (rinside(X1,X2) & (ron(X0,X2) & (? [X4] : ((X1 = X4 & rpoint(X4))) & ? [X5] : ((X0 = X5 & rpoint(X5)))))))) => rintersect(X2,X3)))). % 213.76/53.60 fof(qu(cond(axiom(77), 0), imp(cond(axiom(77), 0))), axiom, ! [X0] : ! [X1] : ((rcenter(X0,X1) => rinside(X0,X1)))). % 213.76/53.60 fof(qu(cond(axiom(53), 0), imp(cond(axiom(53), 0))), axiom, ! [X0] : ! [X1] : (((X0 != X1 & (? [X2] : ((X1 = X2 & rpoint(X2))) & ? [X3] : ((X0 = X3 & rpoint(X3))))) => ? [X4] : ((ron(X1,X4) & (rcenter(X0,X4) & rcircle(X4))))))). % 213.76/53.60 fof(qu(cond(axiom(65), 0), imp(cond(axiom(65), 0))), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((rintersect(X0,X2) & (X2 = X3 & (rcircle(X3) & (X0 = X1 & rcircle(X1))))) => ? [X4] : ((ron(X4,X2) & (ron(X4,X0) & rpoint(X4))))))). % 213.76/53.60 fof(qu(cond(axiom(1), 0), imp(cond(axiom(1), 0))), axiom, ! [X0] : ! [X1] : ((rcenter(X0,X1) => ? [X2] : ? [X3] : ((X1 = X3 & (rcircle(X3) & (X0 = X2 & rpoint(X2)))))))). % 213.76/53.60 fof(qe(208), conjecture, ? [X0] : ((vf(vd1049,X0) = vf(X0,vd1047) & (vf(vd1047,vd1049) = vf(vd1049,X0) & rpoint(X0))))). % 213.76/53.60 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((vf(vd1049,X0) = vf(X0,vd1047) & (vf(vd1047,vd1049) = vf(vd1049,X0) & rpoint(X0)))), inference(negate_conjecture, [status(cth)], [qe(208)])). % 213.76/53.60 cnf(c0, plain, vd1049 = vd1050, inference(clausification, [status(esa)], [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])). % 213.76/53.60 cnf(c1, plain, vd1047 != vd1049, inference(clausification, [status(esa)], [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])). % 213.76/53.60 cnf(c2, plain, rpoint(vd1050), inference(clausification, [status(esa)], [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])). % 213.76/53.60 cnf(c3, plain, vd1047 = vd1048, inference(clausification, [status(esa)], [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])). % 213.76/53.60 cnf(c4, plain, rpoint(vd1048), inference(clausification, [status(esa)], [and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))])). % 213.76/53.60 cnf(c18, plain, ron(X0,vskolem1061(X1,X2,X0,X3)) | ~rpoint(X2) | X1 = X0 | X1 != X2 | X0 != X3 | ~rpoint(X3), inference(clausification, [status(esa)], [ass(cond(proof(209), 0), 11)])). % 213.76/53.60 cnf(c19, plain, ~rpoint(X0) | X1 = X2 | rcenter(X1,vskolem1061(X1,X0,X2,X3)) | X1 != X0 | X2 != X3 | ~rpoint(X3), inference(clausification, [status(esa)], [ass(cond(proof(209), 0), 11)])). % 213.76/53.60 cnf(c22, plain, X0 != X1 | ~rpoint(X2) | vf(X3,X0) = vf(X3,X4) | ~ron(X0,X5) | ~rcenter(X3,X5) | ~ron(X4,X5) | ~rpoint(X1) | X4 != X2, inference(clausification, [status(esa)], [qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))])). % 213.76/53.60 cnf(c23, plain, X0 != X1 | vf(X2,X0) = vf(X0,X2) | ~rpoint(X3) | ~rpoint(X1) | X2 != X3, inference(clausification, [status(esa)], [qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))])). % 213.76/53.60 cnf(c24, plain, rintersect(X0,X1) | ~ron(X2,X1) | ~rpoint(X3) | X4 != X3 | ~rinside(X4,X1) | ~ron(X4,X0) | ~rpoint(X5) | ~rinside(X2,X0) | X2 != X5, inference(clausification, [status(esa)], [qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))])). % 213.76/53.60 cnf(c25, plain, ~rcenter(X0,X1) | rinside(X0,X1), inference(clausification, [status(esa)], [qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))])). % 213.76/53.60 cnf(c85, plain, X0 = X1 | X0 != X2 | ~rpoint(X2) | ~rpoint(X3) | ron(X1,sK298(X0,X1)) | X1 != X3, inference(clausification, [status(esa)], [qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))])). % 213.76/53.60 cnf(c86, plain, X0 = X1 | rcenter(X0,sK298(X0,X1)) | X0 != X2 | ~rpoint(X2) | ~rpoint(X3) | X1 != X3, inference(clausification, [status(esa)], [qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))])). % 213.76/53.60 cnf(c87, plain, X0 = X1 | rcircle(sK298(X0,X1)) | X0 != X2 | ~rpoint(X2) | ~rpoint(X3) | X1 != X3, inference(clausification, [status(esa)], [qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))])). % 213.76/53.60 cnf(c150, plain, ~rintersect(X0,X1) | ~rcircle(X2) | X0 != X2 | ~rcircle(X3) | X1 != X3 | ron(sK607(X0,X1),X1), inference(clausification, [status(esa)], [qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))])). % 213.76/53.60 cnf(c151, plain, ~rintersect(X0,X1) | ~rcircle(X2) | X0 != X2 | X1 != X3 | ron(sK607(X0,X1),X0) | ~rcircle(X3), inference(clausification, [status(esa)], [qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))])). % 213.76/53.60 cnf(c152, plain, ~rintersect(X0,X1) | ~rcircle(X2) | X0 != X2 | X1 != X3 | rpoint(sK607(X0,X1)) | ~rcircle(X3), inference(clausification, [status(esa)], [qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))])). % 213.76/53.60 cnf(c260, plain, ~rcenter(X0,X1) | X1 = sK799(X0,X1), inference(clausification, [status(esa)], [qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))])). % 213.76/53.60 cnf(c261, plain, ~rcenter(X0,X1) | rcircle(sK799(X0,X1)), inference(clausification, [status(esa)], [qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))])). % 213.76/53.60 cnf(c264, plain, vf(vd1049,X0) != vf(X0,vd1047) | vf(vd1047,vd1049) != vf(vd1049,X0) | ~rpoint(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 213.76/53.60 cnf(d0, plain, X0 != X1 | X2 = X0 | ~rpoint(X1) | ~rpoint(X2) | rcircle(sK298(X2,X0)), inference(equality_resolution, [status(thm)], [c87])). % 213.76/53.60 cnf(d1, plain, X0 = X1 | ~rpoint(X0) | ~rpoint(X1) | rcircle(sK298(X0,X1)), inference(equality_resolution, [status(thm)], [d0])). % 213.76/53.60 cnf(d2, plain, X0 != X1 | X2 = X0 | ~rpoint(X1) | ~rpoint(X2) | ron(X0,sK298(X2,X0)), inference(equality_resolution, [status(thm)], [c85])). % 213.76/53.60 cnf(d3, plain, X0 = X1 | ~rpoint(X0) | ~rpoint(X1) | ron(X1,sK298(X0,X1)), inference(equality_resolution, [status(thm)], [d2])). % 213.76/53.60 cnf(d4, plain, X0 != X1 | X2 = X0 | ~rpoint(X1) | ~rpoint(X2) | rcenter(X2,sK298(X2,X0)), inference(equality_resolution, [status(thm)], [c86])). % 213.76/53.60 cnf(d5, plain, X0 = X1 | ~rpoint(X0) | ~rpoint(X1) | rcenter(X0,sK298(X0,X1)), inference(equality_resolution, [status(thm)], [d4])). % 213.76/53.60 cnf(d6, plain, X0 = X1 | ~rpoint(X1) | ~rpoint(X0) | rinside(X0,sK298(X0,X1)), inference(resolution, [status(thm)], [d5,c25])). % 213.76/53.60 cnf(d7, plain, rcircle(X1) | ~rcenter(X0,X1) | ~rcenter(X0,X1), inference(superposition, [status(thm)], [c260,c261])). % 213.76/53.60 cnf(d8, plain, X0 != X1 | X0 = X2 | ~rpoint(X1) | ~rpoint(X2) | rcenter(X0,vskolem1061(X0,X1,X2,X2)), inference(equality_resolution, [status(thm)], [c19])). % 213.76/53.60 cnf(d9, plain, X0 = X1 | ~rpoint(X1) | ~rpoint(X0) | rcenter(X0,vskolem1061(X0,X0,X1,X1)), inference(equality_resolution, [status(thm)], [d8])). % 213.76/53.60 cnf(d10, plain, X0 = X1 | ~rpoint(X1) | ~rpoint(X0) | rcircle(vskolem1061(X0,X0,X1,X1)), inference(resolution, [status(thm)], [d9,d7])). % 213.76/53.60 cnf(d11, plain, X0 != X1 | X0 = X2 | ~rpoint(X1) | ~rpoint(X2) | ron(X2,vskolem1061(X0,X1,X2,X2)), inference(equality_resolution, [status(thm)], [c18])). % 213.76/53.60 cnf(d12, plain, X0 = X1 | ~rpoint(X1) | ~rpoint(X0) | ron(X1,vskolem1061(X0,X0,X1,X1)), inference(equality_resolution, [status(thm)], [d11])). % 213.76/53.60 cnf(d13, plain, X0 != X1 | rpoint(sK607(X0,X2)) | ~rintersect(X0,X2) | ~rcircle(X1) | ~rcircle(X2), inference(equality_resolution, [status(thm)], [c152])). % 213.76/53.60 cnf(d14, plain, rpoint(sK607(X0,X1)) | ~rintersect(X0,X1) | ~rcircle(X1) | ~rcircle(X0), inference(equality_resolution, [status(thm)], [d13])). % 213.76/53.60 cnf(d15, plain, X0 != X1 | ron(sK607(X0,X2),X2) | ~rintersect(X0,X2) | ~rcircle(X1) | ~rcircle(X2), inference(equality_resolution, [status(thm)], [c150])). % 213.76/53.60 cnf(d16, plain, ron(sK607(X0,X1),X1) | ~rintersect(X0,X1) | ~rcircle(X1) | ~rcircle(X0), inference(equality_resolution, [status(thm)], [d15])). % 213.76/53.60 cnf(d17, plain, X0 != X1 | ron(sK607(X0,X2),X0) | ~rintersect(X0,X2) | ~rcircle(X1) | ~rcircle(X2), inference(equality_resolution, [status(thm)], [c151])). % 213.76/53.60 cnf(d18, plain, ron(sK607(X0,X1),X0) | ~rintersect(X0,X1) | ~rcircle(X1) | ~rcircle(X0), inference(equality_resolution, [status(thm)], [d17])). % 213.76/53.60 cnf(d19, plain, X0 != X1 | vf(X2,X0) = vf(X0,X2) | ~rpoint(X1) | ~rpoint(X2), inference(equality_resolution, [status(thm)], [c23])). % 213.76/53.60 cnf(d20, plain, vf(X0,X1) = vf(X1,X0) | ~rpoint(X0) | ~rpoint(X1), inference(equality_resolution, [status(thm)], [d19])). % 213.76/53.60 cnf(d21, plain, vf(vd1049,vd1047) != vf(vd1049,X0) | vf(vd1049,X0) != vf(X0,vd1047) | ~rpoint(X0) | ~rpoint(vd1049) | ~rpoint(vd1047), inference(superposition, [status(thm)], [d20,c264])). % 213.76/53.60 cnf(d22, plain, rpoint(vd1049), inference(demodulation, [status(thm)], [c2,c0])). % 213.76/53.60 cnf(d23, plain, vf(vd1049,X0) != vf(X0,vd1047) | vf(vd1049,vd1047) != vf(vd1049,X0) | ~rpoint(X0) | ~rpoint(vd1047), inference(resolution, [status(thm)], [d22,d21])). % 213.76/53.60 cnf(d24, plain, rpoint(vd1047), inference(demodulation, [status(thm)], [c4,c3])). % 213.76/53.60 cnf(d25, plain, vf(vd1049,X0) != vf(X0,vd1047) | vf(vd1049,vd1047) != vf(vd1049,X0) | ~rpoint(X0), inference(resolution, [status(thm)], [d24,d23])). % 213.76/53.60 cnf(d26, plain, X0 != X1 | vf(X2,X0) = vf(X2,X3) | ~rpoint(X1) | ~rpoint(X3) | ~ron(X0,X4) | ~ron(X3,X4) | ~rcenter(X2,X4), inference(equality_resolution, [status(thm)], [c22])). % 213.76/53.60 cnf(d27, plain, vf(X0,X1) = vf(X0,X2) | ~rpoint(X2) | ~rpoint(X1) | ~ron(X2,X3) | ~ron(X1,X3) | ~rcenter(X0,X3), inference(equality_resolution, [status(thm)], [d26])). % 213.76/53.60 cnf(d28, plain, vf(vd1049,vd1047) != vf(vd1049,X1) | vf(vd1049,X0) != vf(X0,vd1047) | ~rpoint(X0) | ~rpoint(X1) | ~rpoint(X0) | ~ron(X1,X2) | ~ron(X0,X2) | ~rcenter(vd1049,X2), inference(superposition, [status(thm)], [d27,d25])). % 213.76/53.60 cnf(d29, plain, vf(vd1049,X0) != vf(X0,vd1047) | ~rpoint(vd1047) | ~rpoint(X0) | ~ron(vd1047,X1) | ~ron(X0,X1) | ~rcenter(vd1049,X1), inference(equality_resolution, [status(thm)], [d28])). % 213.76/53.60 cnf(d30, plain, vf(vd1049,X0) != vf(X0,vd1047) | ~rpoint(X0) | ~ron(X0,X1) | ~ron(vd1047,X1) | ~rcenter(vd1049,X1), inference(resolution, [status(thm)], [d24,d29])). % 213.76/53.60 cnf(d31, plain, vf(vd1049,X0) != vf(vd1047,X0) | ~rpoint(X0) | ~ron(X0,X1) | ~ron(vd1047,X1) | ~rcenter(vd1049,X1) | ~rpoint(vd1047) | ~rpoint(X0), inference(superposition, [status(thm)], [d20,d30])). % 213.76/53.60 cnf(d32, plain, vf(vd1049,X0) != vf(vd1047,X0) | ~rpoint(X0) | ~ron(X0,X1) | ~ron(vd1047,X1) | ~rcenter(vd1049,X1), inference(resolution, [status(thm)], [d24,d31])). % 213.76/53.60 cnf(d33, plain, vf(vd1049,X0) != vf(vd1047,X1) | ~rpoint(X0) | ~ron(X0,X2) | ~ron(vd1047,X2) | ~rcenter(vd1049,X2) | ~rpoint(X1) | ~rpoint(X0) | ~ron(X1,X3) | ~ron(X0,X3) | ~rcenter(vd1047,X3), inference(superposition, [status(thm)], [d27,d32])). % 213.76/53.60 cnf(d34, plain, vf(vd1049,X1) != vf(X0,vd1047) | ~rpoint(X0) | ~rpoint(X1) | ~ron(X0,X2) | ~ron(X1,X2) | ~ron(X1,X3) | ~ron(vd1047,X3) | ~rcenter(vd1049,X3) | ~rcenter(vd1047,X2) | ~rpoint(X0) | ~rpoint(vd1047), inference(superposition, [status(thm)], [d20,d33])). % 213.76/53.60 cnf(d35, plain, vf(vd1049,X0) != vf(X1,vd1047) | ~rpoint(X0) | ~rpoint(X1) | ~ron(X0,X2) | ~ron(X0,X3) | ~ron(X1,X3) | ~ron(vd1047,X2) | ~rcenter(vd1049,X2) | ~rcenter(vd1047,X3), inference(resolution, [status(thm)], [d24,d34])). % 213.76/53.60 cnf(d36, plain, vf(vd1049,X1) != vf(X2,vd1047) | ~rpoint(X2) | ~rpoint(X0) | ~ron(X2,X3) | ~ron(X0,X3) | ~ron(X0,X4) | ~ron(vd1047,X4) | ~rcenter(vd1049,X4) | ~rcenter(vd1047,X3) | ~rpoint(X1) | ~rpoint(X0) | ~ron(X1,X5) | ~ron(X0,X5) | ~rcenter(vd1049,X5), inference(superposition, [status(thm)], [d27,d35])). % 213.76/53.60 cnf(d37, plain, ~rpoint(vd1049) | ~rpoint(vd1047) | ~rpoint(X0) | ~ron(vd1049,X1) | ~ron(vd1047,X2) | ~ron(X0,X2) | ~ron(X0,X3) | ~ron(X0,X1) | ~ron(vd1047,X3) | ~rcenter(vd1049,X2) | ~rcenter(vd1049,X3) | ~rcenter(vd1047,X1), inference(equality_resolution, [status(thm)], [d36])). % 213.76/53.60 cnf(d38, plain, ~rpoint(X0) | ~rpoint(vd1047) | ~ron(X0,X1) | ~ron(X0,X2) | ~ron(X0,X3) | ~ron(vd1049,X3) | ~ron(vd1047,X1) | ~ron(vd1047,X2) | ~rcenter(vd1049,X1) | ~rcenter(vd1049,X2) | ~rcenter(vd1047,X3), inference(resolution, [status(thm)], [d22,d37])). % 213.76/53.60 cnf(d39, plain, ~rpoint(X0) | ~ron(X0,X1) | ~ron(X0,X2) | ~ron(X0,X3) | ~ron(vd1049,X1) | ~ron(vd1047,X2) | ~ron(vd1047,X3) | ~rcenter(vd1049,X2) | ~rcenter(vd1049,X3) | ~rcenter(vd1047,X1), inference(resolution, [status(thm)], [d24,d38])). % 213.76/53.60 cnf(d40, plain, ~rpoint(X0) | ~ron(X0,X1) | ~ron(X0,X2) | ~ron(X0,sK298(vd1047,X3)) | ~ron(vd1049,sK298(vd1047,X3)) | ~ron(vd1047,X1) | ~ron(vd1047,X2) | ~rcenter(vd1049,X1) | ~rcenter(vd1049,X2) | vd1047 = X3 | ~rpoint(X3) | ~rpoint(vd1047), inference(resolution, [status(thm)], [d39,d5])). % 213.76/53.60 cnf(d41, plain, vd1047 = X0 | ~rpoint(X0) | ~rpoint(X1) | ~ron(X1,X2) | ~ron(X1,X3) | ~ron(X1,sK298(vd1047,X0)) | ~ron(vd1049,sK298(vd1047,X0)) | ~ron(vd1047,X2) | ~ron(vd1047,X3) | ~rcenter(vd1049,X2) | ~rcenter(vd1049,X3), inference(resolution, [status(thm)], [d24,d40])). % 213.76/53.60 cnf(d42, plain, vd1047 = vd1049 | ~rpoint(X0) | ~rpoint(vd1049) | ~ron(X0,X1) | ~ron(X0,X2) | ~ron(X0,sK298(vd1047,vd1049)) | ~ron(vd1047,X1) | ~ron(vd1047,X2) | ~rcenter(vd1049,X1) | ~rcenter(vd1049,X2) | vd1047 = vd1049 | ~rpoint(vd1049) | ~rpoint(vd1047), inference(resolution, [status(thm)], [d41,d3])). % 213.76/53.60 cnf(d43, plain, vd1047 = vd1049 | ~rpoint(X0) | ~rpoint(vd1047) | ~ron(X0,X1) | ~ron(X0,X2) | ~ron(X0,sK298(vd1047,vd1049)) | ~ron(vd1047,X1) | ~ron(vd1047,X2) | ~rcenter(vd1049,X1) | ~rcenter(vd1049,X2), inference(resolution, [status(thm)], [d22,d42])). % 213.76/53.60 cnf(d44, plain, ~rpoint(X0) | ~rpoint(vd1047) | ~ron(X0,X1) | ~ron(X0,X2) | ~ron(X0,sK298(vd1047,vd1049)) | ~ron(vd1047,X1) | ~ron(vd1047,X2) | ~rcenter(vd1049,X1) | ~rcenter(vd1049,X2), inference(resolution, [status(thm)], [c1,d43])). % 213.76/53.60 cnf(d45, plain, ~rpoint(X0) | ~ron(X0,X1) | ~ron(X0,X2) | ~ron(X0,sK298(vd1047,vd1049)) | ~ron(vd1047,X1) | ~ron(vd1047,X2) | ~rcenter(vd1049,X1) | ~rcenter(vd1049,X2), inference(resolution, [status(thm)], [d24,d44])). % 213.76/53.60 cnf(d46, plain, ~rpoint(sK607(sK298(vd1047,vd1049),X0)) | ~ron(sK607(sK298(vd1047,vd1049),X0),X1) | ~ron(sK607(sK298(vd1047,vd1049),X0),X2) | ~ron(vd1047,X1) | ~ron(vd1047,X2) | ~rcenter(vd1049,X1) | ~rcenter(vd1049,X2) | ~rintersect(sK298(vd1047,vd1049),X0) | ~rcircle(X0) | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d45,d18])). % 213.76/53.60 cnf(d47, plain, ~rpoint(sK607(sK298(vd1047,vd1049),X0)) | ~ron(vd1047,X1) | ~ron(vd1047,X0) | ~ron(sK607(sK298(vd1047,vd1049),X0),X1) | ~rintersect(sK298(vd1047,vd1049),X0) | ~rcenter(vd1049,X1) | ~rcenter(vd1049,X0) | ~rcircle(X0) | ~rcircle(sK298(vd1047,vd1049)) | ~rintersect(sK298(vd1047,vd1049),X0) | ~rcircle(X0) | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d46,d16])). % 213.76/53.60 cnf(d48, plain, ~rpoint(sK607(sK298(vd1047,vd1049),X0)) | ~ron(vd1047,X0) | ~ron(vd1047,X0) | ~rintersect(sK298(vd1047,vd1049),X0) | ~rcenter(vd1049,X0) | ~rcenter(vd1049,X0) | ~rcircle(X0) | ~rcircle(sK298(vd1047,vd1049)) | ~rintersect(sK298(vd1047,vd1049),X0) | ~rcircle(X0) | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d47,d16])). % 213.76/53.60 cnf(d49, plain, ~ron(vd1047,X0) | ~rintersect(sK298(vd1047,vd1049),X0) | ~rcenter(vd1049,X0) | ~rcircle(X0) | ~rcircle(sK298(vd1047,vd1049)) | ~rintersect(sK298(vd1047,vd1049),X0) | ~rcircle(X0) | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d48,d14])). % 213.76/53.60 cnf(d50, plain, X0 = X1 | ~rpoint(X1) | ~rpoint(X0) | rinside(X0,vskolem1061(X0,X0,X1,X1)), inference(resolution, [status(thm)], [d9,c25])). % 213.76/53.60 cnf(d51, plain, X0 != X1 | ~rpoint(X2) | ~rpoint(X1) | ~ron(X0,X3) | ~ron(X2,X4) | rintersect(X4,X3) | ~rinside(X0,X4) | ~rinside(X2,X3), inference(equality_resolution, [status(thm)], [c24])). % 213.76/53.60 cnf(d52, plain, ~rpoint(X0) | ~rpoint(X1) | ~ron(X0,X2) | ~ron(X1,X3) | rintersect(X2,X3) | ~rinside(X0,X3) | ~rinside(X1,X2), inference(equality_resolution, [status(thm)], [d51])). % 213.76/53.60 cnf(d53, plain, ~rpoint(X0) | ~rpoint(X1) | ~ron(X0,vskolem1061(X1,X1,X2,X2)) | ~ron(X1,X3) | rintersect(X3,vskolem1061(X1,X1,X2,X2)) | ~rinside(X0,X3) | X1 = X2 | ~rpoint(X2) | ~rpoint(X1), inference(resolution, [status(thm)], [d52,d50])). % 213.76/53.60 cnf(d54, plain, X0 = X1 | ~rpoint(X1) | ~rpoint(X0) | ~rpoint(X1) | ~ron(X0,X2) | rintersect(X2,vskolem1061(X0,X0,X1,X1)) | ~rinside(X1,X2) | X0 = X1 | ~rpoint(X1) | ~rpoint(X0), inference(resolution, [status(thm)], [d53,d12])). % 213.76/53.60 cnf(d55, plain, X0 = X1 | ~rpoint(X1) | ~rpoint(X0) | ~ron(X0,sK298(vd1047,vd1049)) | ~rinside(X1,sK298(vd1047,vd1049)) | ~ron(vd1047,vskolem1061(X0,X0,X1,X1)) | ~rcenter(vd1049,vskolem1061(X0,X0,X1,X1)) | ~rcircle(vskolem1061(X0,X0,X1,X1)) | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d54,d49])). % 213.76/53.60 cnf(d56, plain, vd1049 = X0 | ~rpoint(X0) | ~rpoint(vd1049) | ~ron(vd1049,sK298(vd1047,vd1049)) | ~ron(vd1047,vskolem1061(vd1049,vd1049,X0,X0)) | ~rcircle(vskolem1061(vd1049,vd1049,X0,X0)) | ~rcircle(sK298(vd1047,vd1049)) | ~rinside(X0,sK298(vd1047,vd1049)) | vd1049 = X0 | ~rpoint(X0) | ~rpoint(vd1049), inference(resolution, [status(thm)], [d55,d9])). % 213.76/53.60 cnf(d57, plain, vd1049 = X0 | ~rpoint(X0) | ~ron(vd1049,sK298(vd1047,vd1049)) | ~ron(vd1047,vskolem1061(vd1049,vd1049,X0,X0)) | ~rcircle(vskolem1061(vd1049,vd1049,X0,X0)) | ~rcircle(sK298(vd1047,vd1049)) | ~rinside(X0,sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d22,d56])). % 213.76/53.60 cnf(d58, plain, vd1049 = vd1047 | ~rpoint(vd1047) | ~ron(vd1049,sK298(vd1047,vd1049)) | ~rcircle(vskolem1061(vd1049,vd1049,vd1047,vd1047)) | ~rcircle(sK298(vd1047,vd1049)) | ~rinside(vd1047,sK298(vd1047,vd1049)) | vd1049 = vd1047 | ~rpoint(vd1047) | ~rpoint(vd1049), inference(resolution, [status(thm)], [d57,d12])). % 213.76/53.60 cnf(d59, plain, vd1049 = vd1047 | ~rpoint(vd1047) | ~ron(vd1049,sK298(vd1047,vd1049)) | ~rcircle(vskolem1061(vd1049,vd1049,vd1047,vd1047)) | ~rcircle(sK298(vd1047,vd1049)) | ~rinside(vd1047,sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d22,d58])). % 213.76/53.60 cnf(d60, plain, vd1049 = vd1047 | ~ron(vd1049,sK298(vd1047,vd1049)) | ~rcircle(vskolem1061(vd1049,vd1049,vd1047,vd1047)) | ~rcircle(sK298(vd1047,vd1049)) | ~rinside(vd1047,sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d24,d59])). % 213.76/53.60 cnf(d61, plain, vd1049 = vd1047 | ~ron(vd1049,sK298(vd1047,vd1049)) | ~rcircle(sK298(vd1047,vd1049)) | ~rinside(vd1047,sK298(vd1047,vd1049)) | vd1049 = vd1047 | ~rpoint(vd1047) | ~rpoint(vd1049), inference(resolution, [status(thm)], [d60,d10])). % 213.76/53.60 cnf(d62, plain, vd1049 = vd1047 | ~rpoint(vd1047) | ~ron(vd1049,sK298(vd1047,vd1049)) | ~rcircle(sK298(vd1047,vd1049)) | ~rinside(vd1047,sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d22,d61])). % 213.76/53.60 cnf(d63, plain, vd1049 = vd1047 | ~ron(vd1049,sK298(vd1047,vd1049)) | ~rcircle(sK298(vd1047,vd1049)) | ~rinside(vd1047,sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d24,d62])). % 213.76/53.60 cnf(d64, plain, vd1049 = vd1047 | ~ron(vd1049,sK298(vd1047,vd1049)) | ~rcircle(sK298(vd1047,vd1049)) | vd1047 = vd1049 | ~rpoint(vd1049) | ~rpoint(vd1047), inference(resolution, [status(thm)], [d63,d6])). % 213.76/53.60 cnf(d65, plain, vd1049 = vd1047 | vd1047 = vd1049 | ~rpoint(vd1047) | ~ron(vd1049,sK298(vd1047,vd1049)) | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d22,d64])). % 213.76/53.60 cnf(d66, plain, vd1049 = vd1047 | ~rpoint(vd1047) | ~ron(vd1049,sK298(vd1047,vd1049)) | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [c1,d65])). % 213.76/53.60 cnf(d67, plain, vd1049 = vd1047 | ~ron(vd1049,sK298(vd1047,vd1049)) | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d24,d66])). % 213.76/53.60 cnf(d68, plain, vd1049 = vd1047 | ~rcircle(sK298(vd1047,vd1049)) | vd1047 = vd1049 | ~rpoint(vd1049) | ~rpoint(vd1047), inference(resolution, [status(thm)], [d67,d3])). % 213.76/53.60 cnf(d69, plain, vd1049 = vd1047 | vd1047 = vd1049 | ~rpoint(vd1047) | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d22,d68])). % 213.76/53.60 cnf(d70, plain, vd1049 = vd1047 | ~rpoint(vd1047) | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [c1,d69])). % 213.76/53.60 cnf(d71, plain, vd1049 = vd1047 | ~rcircle(sK298(vd1047,vd1049)), inference(resolution, [status(thm)], [d24,d70])). % 213.76/53.60 cnf(d72, plain, vd1049 = vd1047 | vd1047 = vd1049 | ~rpoint(vd1049) | ~rpoint(vd1047), inference(resolution, [status(thm)], [d71,d1])). % 213.76/53.60 cnf(d73, plain, vd1049 = vd1047 | vd1047 = vd1049 | ~rpoint(vd1047), inference(resolution, [status(thm)], [d22,d72])). % 213.76/53.60 cnf(d74, plain, vd1049 = vd1047 | ~rpoint(vd1047), inference(resolution, [status(thm)], [c1,d73])). % 213.76/53.60 cnf(d75, plain, vd1049 = vd1047, inference(resolution, [status(thm)], [d24,d74])). % 213.76/53.60 cnf(d76, plain, vd1049 != vd1049, inference(demodulation, [status(thm)], [c1,d75])). % 213.76/53.60 cnf(d77, plain, $false, inference(equality_resolution, [status(thm)], [d76])). % 213.76/53.60 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------