%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : GEO285+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 : n009.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 07:15:03 AM UTC 2026 % Result : Theorem 49.94s 12.99s % Output : CNFRefutation 49.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : GEO285+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 % 0.08/5.37 % Computer : n009.cluster.edu % 0.08/5.37 % Model : x86_64 x86_64 % 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/5.37 % Memory : 8046.5625MB % 0.08/5.37 % OS : Linux 6.8.0-71-generic % 0.08/5.38 % CPULimit : 300 % 0.08/5.38 % WCLimit : 300 % 0.08/5.38 % DateTime : Fri Sep 25 13:14:05 UTC 2026 % 0.08/5.38 % CPUTime : % 0.08/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 49.94/12.99 % SZS status Theorem for theBenchmark.p % 49.94/12.99 % SZS output start CNFRefutation for theBenchmark.p % 49.94/12.99 fof(and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0)), axiom, (ron(vd1127,vd1152) & (rcenter(vd1123,vd1152) & (rcircle(vd1152) & (ron(vd1125,vd1151) & ron(vd1123,vd1151)))))). % 49.94/12.99 fof(holds(258, 1150, 0), axiom, vd1123 = vd1129). % 49.94/12.99 fof(and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1))), axiom, (rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) & (vd1127 != vd1129 & (vd1123 != vd1125 & (vd1129 = vd1130 & (rpoint(vd1130) & (vd1127 = vd1128 & (rpoint(vd1128) & (vd1125 = vd1126 & (rpoint(vd1126) & (vd1123 = vd1124 & rpoint(vd1124)))))))))))). % 49.94/12.99 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))))))). % 49.94/12.99 fof(qu(cond(axiom(186), 0), imp(cond(axiom(186), 0))), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((ron(X1,X3) & (rcenter(X2,X3) & (? [X4] : ((X1 = X4 & rpoint(X4))) & ? [X5] : ((X0 = X5 & rpoint(X5)))))) => (rless(vf(X2,X0),vf(X2,X1)) <=> rinside(X0,X3))))). % 49.94/12.99 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)))). % 49.94/12.99 fof(qu(cond(axiom(79), 0), imp(cond(axiom(79), 0))), axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((rinside(X0,X2) & (X2 = X3 & (rcircle(X3) & (X0 = X1 & rpoint(X1))))) => ~ron(X0,X2)))). % 49.94/12.99 fof(qu(cond(axiom(67), 0), imp(cond(axiom(67), 0))), axiom, ! [X0] : ! [X1] : (((rintersect(X0,X1) & (? [X2] : ((X1 = X2 & rcircle(X2))) & ? [X3] : ((X0 = X3 & rcircle(X3))))) => ? [X4] : ? [X5] : ((X4 != X5 & (ron(X5,X1) & (ron(X5,X0) & (rpoint(X5) & (ron(X4,X1) & (ron(X4,X0) & rpoint(X4))))))))))). % 49.94/12.99 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)))). % 49.94/12.99 fof(neg(neg(260)), conjecture, ~rinside(vd1125,vd1152)). % 49.94/12.99 fof(negated_conjecture, negated_conjecture, ~~rinside(vd1125,vd1152), inference(negate_conjecture, [status(cth)], [neg(neg(260))])). % 49.94/12.99 cnf(c0, plain, ron(vd1127,vd1152), inference(clausification, [status(esa)], [and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))])). % 49.94/12.99 cnf(c1, plain, rcenter(vd1123,vd1152), inference(clausification, [status(esa)], [and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))])). % 49.94/12.99 cnf(c2, plain, rcircle(vd1152), inference(clausification, [status(esa)], [and(and(pred(comma_conjunct2(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct1(comma_conjunct2(comma_conjunct2(259))), 0), and(pred(comma_conjunct2(comma_conjunct2(259)), 0), pred(comma_conjunct1(comma_conjunct2(259)), 0)))), pred(comma_conjunct1(259), 0))])). % 49.94/12.99 cnf(c6, plain, vd1123 = vd1129, inference(clausification, [status(esa)], [holds(258, 1150, 0)])). % 49.94/12.99 cnf(c21, plain, rless(vf(vd1127,vd1129),vf(vd1123,vd1125)), inference(clausification, [status(esa)], [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). % 49.94/12.99 cnf(c23, plain, vd1123 != vd1125, inference(clausification, [status(esa)], [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). % 49.94/12.99 cnf(c24, plain, vd1129 = vd1130, inference(clausification, [status(esa)], [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). % 49.94/12.99 cnf(c25, plain, rpoint(vd1130), inference(clausification, [status(esa)], [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). % 49.94/12.99 cnf(c26, plain, vd1127 = vd1128, inference(clausification, [status(esa)], [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). % 49.94/12.99 cnf(c27, plain, rpoint(vd1128), inference(clausification, [status(esa)], [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). % 49.94/12.99 cnf(c28, plain, vd1125 = vd1126, inference(clausification, [status(esa)], [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). % 49.94/12.99 cnf(c29, plain, rpoint(vd1126), inference(clausification, [status(esa)], [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). % 49.94/12.99 cnf(c32, plain, ron(X0,sK5(X1,X0)) | ~rpoint(X2) | ~rpoint(X3) | X1 = X0 | X0 != X3 | X1 != X2, inference(clausification, [status(esa)], [qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))])). % 49.94/12.99 cnf(c33, plain, ~rpoint(X0) | rcenter(X1,sK5(X1,X2)) | ~rpoint(X3) | X1 = X2 | X2 != X3 | X1 != X0, inference(clausification, [status(esa)], [qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))])). % 49.94/12.99 cnf(c34, plain, ~rpoint(X0) | rcircle(sK5(X1,X2)) | ~rpoint(X3) | X1 = X2 | X2 != X3 | X1 != X0, inference(clausification, [status(esa)], [qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))])). % 49.94/12.99 cnf(c42, plain, ~ron(X0,X1) | X2 != X3 | ~rcenter(X4,X1) | X0 != X5 | ~rless(vf(X4,X2),vf(X4,X0)) | ~rpoint(X3) | rinside(X2,X1) | ~rpoint(X5), inference(clausification, [status(esa)], [qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))])). % 49.94/12.99 cnf(c43, plain, ~ron(X0,X1) | ~rcenter(X2,X1) | ~rpoint(X3) | rless(vf(X2,X4),vf(X2,X0)) | X0 != X3 | ~rpoint(X5) | ~rinside(X4,X1) | X4 != X5, inference(clausification, [status(esa)], [qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))])). % 49.94/12.99 cnf(c46, plain, X0 != X1 | ~ron(X0,X2) | ~ron(X3,X4) | ~rinside(X3,X2) | ~rpoint(X1) | ~rinside(X0,X4) | X3 != X5 | rintersect(X2,X4) | ~rpoint(X5), inference(clausification, [status(esa)], [qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))])). % 49.94/12.99 cnf(c49, plain, X0 != X1 | X2 != X3 | ~rpoint(X1) | ~rcircle(X3) | ~rinside(X0,X2) | ~ron(X0,X2), inference(clausification, [status(esa)], [qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))])). % 49.94/12.99 cnf(c50, plain, X0(X1,X2) | X1 != X3 | ~rcircle(X3) | ~rcircle(X4) | ~rintersect(X1,X2) | X2 != X4, inference(clausification, [status(esa)], [qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))])). % 49.94/12.99 cnf(c52, plain, ~X0(X1,X2) | ron(sK51(X1,X2),X2), inference(clausification, [status(esa)], [qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))])). % 49.94/12.99 cnf(c53, plain, ~X0(X1,X2) | ron(sK51(X1,X2),X1), inference(clausification, [status(esa)], [qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))])). % 49.94/12.99 cnf(c54, plain, ~X0(X1,X2) | rpoint(sK51(X1,X2)), inference(clausification, [status(esa)], [qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))])). % 49.94/12.99 cnf(c282, plain, vf(X0,X1) = vf(X1,X0) | ~rpoint(X2) | X1 != X2 | X0 != X3 | ~rpoint(X3), inference(clausification, [status(esa)], [qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))])). % 49.94/12.99 cnf(c297, plain, rinside(vd1125,vd1152), inference(clausification, [status(esa)], [negated_conjecture])). % 49.94/12.99 cnf(d0, plain, X0 != X1 | X0 = X2 | rcircle(sK5(X0,X2)) | ~rpoint(X1) | ~rpoint(X2), inference(equality_resolution, [status(thm)], [c34])). % 49.94/12.99 cnf(d1, plain, X0 = X1 | rcircle(sK5(X0,X1)) | ~rpoint(X1) | ~rpoint(X0), inference(equality_resolution, [status(thm)], [d0])). % 49.94/12.99 cnf(d2, plain, X0 != X1 | X0 = X2 | ron(X2,sK5(X0,X2)) | ~rpoint(X1) | ~rpoint(X2), inference(equality_resolution, [status(thm)], [c32])). % 49.94/12.99 cnf(d3, plain, X0 = X1 | ron(X1,sK5(X0,X1)) | ~rpoint(X1) | ~rpoint(X0), inference(equality_resolution, [status(thm)], [d2])). % 49.94/12.99 cnf(d4, plain, X0 != X1 | ~ron(X0,X2) | ~rcircle(X2) | ~rpoint(X1) | ~rinside(X0,X2), inference(equality_resolution, [status(thm)], [c49])). % 49.94/12.99 cnf(d5, plain, ~ron(X0,X1) | ~rcircle(X1) | ~rpoint(X0) | ~rinside(X0,X1), inference(equality_resolution, [status(thm)], [d4])). % 49.94/12.99 cnf(d6, plain, X0 != X1 | ~rcircle(X1) | ~rcircle(X2) | ~rintersect(X2,X0) | 'Ts45'(X2,X0), inference(equality_resolution, [status(thm)], [c50])). % 49.94/12.99 cnf(d7, plain, ~rcircle(X0) | ~rcircle(X1) | ~rintersect(X0,X1) | 'Ts45'(X0,X1), inference(equality_resolution, [status(thm)], [d6])). % 49.94/12.99 cnf(d8, plain, X0 != X1 | ~ron(X0,X2) | ~ron(X3,X4) | ~rpoint(X1) | ~rpoint(X3) | ~rinside(X0,X4) | ~rinside(X3,X2) | rintersect(X2,X4), inference(equality_resolution, [status(thm)], [c46])). % 49.94/12.99 cnf(d9, plain, ~ron(X0,X1) | ~ron(X2,X3) | ~rpoint(X0) | ~rpoint(X2) | ~rinside(X0,X3) | ~rinside(X2,X1) | rintersect(X3,X1), inference(equality_resolution, [status(thm)], [d8])). % 49.94/12.99 cnf(d10, plain, X0 != X1 | X0 = X2 | rcenter(X0,sK5(X0,X2)) | ~rpoint(X1) | ~rpoint(X2), inference(equality_resolution, [status(thm)], [c33])). % 49.94/12.99 cnf(d11, plain, X0 = X1 | rcenter(X0,sK5(X0,X1)) | ~rpoint(X1) | ~rpoint(X0), inference(equality_resolution, [status(thm)], [d10])). % 49.94/12.99 cnf(d12, plain, rless(vf(vd1127,vd1123),vf(vd1123,vd1125)), inference(demodulation, [status(thm)], [c21,c6])). % 49.94/12.99 cnf(d13, plain, X0 != X1 | vf(X2,X0) = vf(X0,X2) | ~rpoint(X1) | ~rpoint(X2), inference(equality_resolution, [status(thm)], [c282])). % 49.94/12.99 cnf(d14, plain, vf(X0,X1) = vf(X1,X0) | ~rpoint(X0) | ~rpoint(X1), inference(equality_resolution, [status(thm)], [d13])). % 49.94/12.99 cnf(d15, plain, rless(vf(vd1123,vd1127),vf(vd1123,vd1125)) | ~rpoint(vd1123) | ~rpoint(vd1127), inference(superposition, [status(thm)], [d14,d12])). % 49.94/12.99 cnf(d16, plain, vd1123 = vd1130, inference(demodulation, [status(thm)], [c24,c6])). % 49.94/12.99 cnf(d17, plain, rpoint(vd1123), inference(demodulation, [status(thm)], [c25,d16])). % 49.94/12.99 cnf(d18, plain, ~rpoint(vd1127) | rless(vf(vd1123,vd1127),vf(vd1123,vd1125)), inference(resolution, [status(thm)], [d17,d15])). % 49.94/12.99 cnf(d19, plain, rpoint(vd1127), inference(demodulation, [status(thm)], [c27,c26])). % 49.94/12.99 cnf(d20, plain, rless(vf(vd1123,vd1127),vf(vd1123,vd1125)), inference(resolution, [status(thm)], [d19,d18])). % 49.94/12.99 cnf(d21, plain, X0 != X1 | ~ron(X0,X2) | ~rcenter(X3,X2) | ~rpoint(X4) | ~rpoint(X1) | rinside(X4,X2) | ~rless(vf(X3,X4),vf(X3,X0)), inference(equality_resolution, [status(thm)], [c42])). % 49.94/12.99 cnf(d22, plain, ~ron(X0,X1) | ~rcenter(X2,X1) | ~rpoint(X3) | ~rpoint(X0) | rinside(X3,X1) | ~rless(vf(X2,X3),vf(X2,X0)), inference(equality_resolution, [status(thm)], [d21])). % 49.94/12.99 cnf(d23, plain, ~ron(vd1125,X0) | ~rcenter(vd1123,X0) | ~rpoint(vd1127) | ~rpoint(vd1125) | rinside(vd1127,X0), inference(resolution, [status(thm)], [d22,d20])). % 49.94/12.99 cnf(d24, plain, ~ron(vd1125,X0) | ~rcenter(vd1123,X0) | ~rpoint(vd1125) | rinside(vd1127,X0), inference(resolution, [status(thm)], [d19,d23])). % 49.94/12.99 cnf(d25, plain, rpoint(vd1125), inference(demodulation, [status(thm)], [c29,c28])). % 49.94/12.99 cnf(d26, plain, ~ron(vd1125,X0) | ~rcenter(vd1123,X0) | rinside(vd1127,X0), inference(resolution, [status(thm)], [d25,d24])). % 49.94/12.99 cnf(d27, plain, ~ron(vd1125,sK5(vd1123,X0)) | rinside(vd1127,sK5(vd1123,X0)) | vd1123 = X0 | ~rpoint(X0) | ~rpoint(vd1123), inference(resolution, [status(thm)], [d26,d11])). % 49.94/12.99 cnf(d28, plain, vd1123 = X0 | ~ron(vd1125,sK5(vd1123,X0)) | ~rpoint(X0) | rinside(vd1127,sK5(vd1123,X0)), inference(resolution, [status(thm)], [d17,d27])). % 49.94/12.99 cnf(d29, plain, vd1123 = vd1125 | ~rpoint(vd1125) | rinside(vd1127,sK5(vd1123,vd1125)) | vd1123 = vd1125 | ~rpoint(vd1125) | ~rpoint(vd1123), inference(resolution, [status(thm)], [d28,d3])). % 49.94/12.99 cnf(d30, plain, ~rpoint(vd1123) | ~rpoint(vd1125) | rinside(vd1127,sK5(vd1123,vd1125)), inference(resolution, [status(thm)], [c23,d29])). % 49.94/12.99 cnf(d31, plain, ~rpoint(vd1125) | rinside(vd1127,sK5(vd1123,vd1125)), inference(resolution, [status(thm)], [d17,d30])). % 49.94/12.99 cnf(d32, plain, rinside(vd1127,sK5(vd1123,vd1125)), inference(resolution, [status(thm)], [d25,d31])). % 49.94/12.99 cnf(d33, plain, ~ron(X0,sK5(vd1123,vd1125)) | ~ron(vd1127,X1) | ~rpoint(X0) | ~rpoint(vd1127) | ~rinside(X0,X1) | rintersect(sK5(vd1123,vd1125),X1), inference(resolution, [status(thm)], [d32,d9])). % 49.94/12.99 cnf(d34, plain, ~ron(X0,sK5(vd1123,vd1125)) | ~ron(vd1127,X1) | ~rpoint(X0) | ~rinside(X0,X1) | rintersect(sK5(vd1123,vd1125),X1), inference(resolution, [status(thm)], [d19,d33])). % 49.94/12.99 cnf(d35, plain, ~ron(vd1127,X0) | ~rpoint(vd1125) | ~rinside(vd1125,X0) | rintersect(sK5(vd1123,vd1125),X0) | vd1123 = vd1125 | ~rpoint(vd1125) | ~rpoint(vd1123), inference(resolution, [status(thm)], [d34,d3])). % 49.94/12.99 cnf(d36, plain, ~ron(vd1127,X0) | ~rpoint(vd1123) | ~rpoint(vd1125) | ~rinside(vd1125,X0) | rintersect(sK5(vd1123,vd1125),X0), inference(resolution, [status(thm)], [c23,d35])). % 49.94/12.99 cnf(d37, plain, ~ron(vd1127,X0) | ~rpoint(vd1125) | ~rinside(vd1125,X0) | rintersect(sK5(vd1123,vd1125),X0), inference(resolution, [status(thm)], [d17,d36])). % 49.94/12.99 cnf(d38, plain, ~ron(vd1127,X0) | ~rinside(vd1125,X0) | rintersect(sK5(vd1123,vd1125),X0), inference(resolution, [status(thm)], [d25,d37])). % 49.94/12.99 cnf(d39, plain, ~ron(vd1127,X0) | ~rinside(vd1125,X0) | ~rcircle(X0) | ~rcircle(sK5(vd1123,vd1125)) | 'Ts45'(sK5(vd1123,vd1125),X0), inference(resolution, [status(thm)], [d38,d7])). % 49.94/12.99 cnf(d40, plain, X0 != X1 | ~ron(X0,X2) | ~rcenter(X3,X2) | ~rpoint(X4) | ~rpoint(X1) | ~rinside(X4,X2) | rless(vf(X3,X4),vf(X3,X0)), inference(equality_resolution, [status(thm)], [c43])). % 49.94/12.99 cnf(d41, plain, ~ron(X0,X1) | ~rcenter(X2,X1) | ~rpoint(X3) | ~rpoint(X0) | ~rinside(X3,X1) | rless(vf(X2,X3),vf(X2,X0)), inference(equality_resolution, [status(thm)], [d40])). % 49.94/12.99 cnf(d42, plain, ~ron(X0,X1) | ~rcenter(X2,X1) | ~rpoint(X3) | ~rpoint(X0) | ~rinside(X3,X1) | ~ron(X0,X4) | ~rcenter(X2,X4) | ~rpoint(X3) | ~rpoint(X0) | rinside(X3,X4), inference(resolution, [status(thm)], [d41,d22])). % 49.94/12.99 cnf(d43, plain, ~ron(X0,X1) | ~ron(X0,vd1152) | ~rcenter(X2,X1) | ~rcenter(X2,vd1152) | ~rpoint(vd1125) | ~rpoint(X0) | rinside(vd1125,X1), inference(resolution, [status(thm)], [d42,c297])). % 49.94/12.99 cnf(d44, plain, ~ron(X0,X1) | ~ron(X0,vd1152) | ~rcenter(X2,X1) | ~rcenter(X2,vd1152) | ~rpoint(X0) | rinside(vd1125,X1), inference(resolution, [status(thm)], [d25,d43])). % 49.94/12.99 cnf(d45, plain, ~ron(X0,X1) | ~ron(X0,vd1152) | ~rcenter(vd1123,X1) | ~rpoint(X0) | rinside(vd1125,X1), inference(resolution, [status(thm)], [d44,c1])). % 49.94/12.99 cnf(d46, plain, ~ron(X0,sK5(vd1123,X1)) | ~ron(X0,vd1152) | ~rpoint(X0) | rinside(vd1125,sK5(vd1123,X1)) | vd1123 = X1 | ~rpoint(X1) | ~rpoint(vd1123), inference(resolution, [status(thm)], [d45,d11])). % 49.94/12.99 cnf(d47, plain, vd1123 = X0 | ~ron(X1,vd1152) | ~ron(X1,sK5(vd1123,X0)) | ~rpoint(X0) | ~rpoint(X1) | rinside(vd1125,sK5(vd1123,X0)), inference(resolution, [status(thm)], [d17,d46])). % 49.94/12.99 cnf(d48, plain, vd1123 = X0 | ~ron(sK51(sK5(vd1123,X0),X1),vd1152) | ~rpoint(sK51(sK5(vd1123,X0),X1)) | ~rpoint(X0) | rinside(vd1125,sK5(vd1123,X0)) | ~'Ts45'(sK5(vd1123,X0),X1), inference(resolution, [status(thm)], [d47,c53])). % 49.94/12.99 cnf(d49, plain, vd1123 = X0 | ~rpoint(X0) | ~rpoint(sK51(sK5(vd1123,X0),vd1152)) | rinside(vd1125,sK5(vd1123,X0)) | ~'Ts45'(sK5(vd1123,X0),vd1152) | ~'Ts45'(sK5(vd1123,X0),vd1152), inference(resolution, [status(thm)], [d48,c52])). % 49.94/12.99 cnf(d50, plain, vd1123 = X0 | ~rpoint(X0) | rinside(vd1125,sK5(vd1123,X0)) | ~'Ts45'(sK5(vd1123,X0),vd1152) | ~'Ts45'(sK5(vd1123,X0),vd1152), inference(resolution, [status(thm)], [d49,c54])). % 49.94/12.99 cnf(d51, plain, vd1123 = vd1125 | ~rpoint(vd1125) | rinside(vd1125,sK5(vd1123,vd1125)) | ~ron(vd1127,vd1152) | ~rcircle(vd1152) | ~rcircle(sK5(vd1123,vd1125)) | ~rinside(vd1125,vd1152), inference(resolution, [status(thm)], [d50,d39])). % 49.94/12.99 cnf(d52, plain, vd1123 = vd1125 | ~ron(vd1127,vd1152) | ~rcircle(vd1152) | ~rcircle(sK5(vd1123,vd1125)) | ~rpoint(vd1125) | rinside(vd1125,sK5(vd1123,vd1125)), inference(resolution, [status(thm)], [c297,d51])). % 49.94/12.99 cnf(d53, plain, vd1123 = vd1125 | ~rcircle(vd1152) | ~rcircle(sK5(vd1123,vd1125)) | ~rpoint(vd1125) | rinside(vd1125,sK5(vd1123,vd1125)), inference(resolution, [status(thm)], [c0,d52])). % 49.94/12.99 cnf(d54, plain, vd1123 = vd1125 | ~rcircle(sK5(vd1123,vd1125)) | ~rpoint(vd1125) | rinside(vd1125,sK5(vd1123,vd1125)), inference(resolution, [status(thm)], [c2,d53])). % 49.94/12.99 cnf(d55, plain, ~rcircle(sK5(vd1123,vd1125)) | ~rpoint(vd1125) | rinside(vd1125,sK5(vd1123,vd1125)), inference(resolution, [status(thm)], [c23,d54])). % 49.94/12.99 cnf(d56, plain, ~rcircle(sK5(vd1123,vd1125)) | rinside(vd1125,sK5(vd1123,vd1125)), inference(resolution, [status(thm)], [d25,d55])). % 49.94/12.99 cnf(d57, plain, ~rcircle(sK5(vd1123,vd1125)) | ~ron(vd1125,sK5(vd1123,vd1125)) | ~rcircle(sK5(vd1123,vd1125)) | ~rpoint(vd1125), inference(resolution, [status(thm)], [d56,d5])). % 49.94/12.99 cnf(d58, plain, ~ron(vd1125,sK5(vd1123,vd1125)) | ~rcircle(sK5(vd1123,vd1125)), inference(resolution, [status(thm)], [d25,d57])). % 49.94/12.99 cnf(d59, plain, ~rcircle(sK5(vd1123,vd1125)) | vd1123 = vd1125 | ~rpoint(vd1125) | ~rpoint(vd1123), inference(resolution, [status(thm)], [d58,d3])). % 49.94/12.99 cnf(d60, plain, ~rcircle(sK5(vd1123,vd1125)) | ~rpoint(vd1123) | ~rpoint(vd1125), inference(resolution, [status(thm)], [c23,d59])). % 49.94/12.99 cnf(d61, plain, ~rcircle(sK5(vd1123,vd1125)) | ~rpoint(vd1125), inference(resolution, [status(thm)], [d17,d60])). % 49.94/12.99 cnf(d62, plain, ~rcircle(sK5(vd1123,vd1125)), inference(resolution, [status(thm)], [d25,d61])). % 49.94/12.99 cnf(d63, plain, vd1123 = vd1125 | ~rpoint(vd1125) | ~rpoint(vd1123), inference(resolution, [status(thm)], [d62,d1])). % 49.94/12.99 cnf(d64, plain, ~rpoint(vd1123) | ~rpoint(vd1125), inference(resolution, [status(thm)], [c23,d63])). % 49.94/12.99 cnf(d65, plain, ~rpoint(vd1125), inference(resolution, [status(thm)], [d17,d64])). % 49.94/12.99 cnf(d66, plain, $false, inference(resolution, [status(thm)], [d25,d65])). % 49.94/12.99 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------