%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : GEO181+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Sat Jul 16 06:23:02 EDT 2022 % Result : Theorem 0.91s 1.11s % Output : Refutation 0.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GEO181+2 : TPTP v8.1.0. Released v3.3.0. % 0.12/0.13 % Command : run_spass %d %s % 0.13/0.35 % Computer : n010.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sat Jun 18 10:50:53 EDT 2022 % 0.13/0.35 % CPUTime : % 0.91/1.11 % 0.91/1.11 SPASS V 3.9 % 0.91/1.11 SPASS beiseite: Proof found. % 0.91/1.11 % SZS status Theorem % 0.91/1.11 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.91/1.11 SPASS derived 2190 clauses, backtracked 351 clauses, performed 6 splits and kept 1124 clauses. % 0.91/1.11 SPASS allocated 86708 KBytes. % 0.91/1.11 SPASS spent 0:00:00.74 on the problem. % 0.91/1.11 0:00:00.04 for the input. % 0.91/1.11 0:00:00.03 for the FLOTTER CNF translation. % 0.91/1.11 0:00:00.05 for inferences. % 0.91/1.11 0:00:00.00 for the backtracking. % 0.91/1.11 0:00:00.61 for the reduction. % 0.91/1.11 % 0.91/1.11 % 0.91/1.11 Here is a proof with depth 9, length 65 : % 0.91/1.11 % SZS output start Refutation % 0.91/1.11 1[0:Inp] || -> distinct_points(skc3,skc4)*. % 0.91/1.11 2[0:Inp] || distinct_points(u,u)* -> . % 0.91/1.11 3[0:Inp] || distinct_lines(u,u)* -> . % 0.91/1.11 5[0:Inp] || -> apart_point_and_line(skc5,line_connecting(skc3,skc4))*. % 0.91/1.11 6[0:Inp] || apart_point_and_line(skc4,line_connecting(skc3,skc5))* -> . % 0.91/1.11 8[0:Inp] || distinct_points(u,v)*+ -> distinct_points(v,w)* distinct_points(u,w)*. % 0.91/1.11 9[0:Inp] || distinct_lines(u,v)*+ -> distinct_lines(v,w)* distinct_lines(u,w)*. % 0.91/1.11 11[0:Inp] || apart_point_and_line(u,v)*+ -> apart_point_and_line(w,v)* distinct_points(u,w)*. % 0.91/1.11 12[0:Inp] || apart_point_and_line(u,v)*+ -> distinct_lines(v,w)* apart_point_and_line(u,w)*. % 0.91/1.11 13[0:Inp] || distinct_points(u,v) apart_point_and_line(w,line_connecting(u,v))* -> distinct_points(w,u). % 0.91/1.11 14[0:Inp] || distinct_points(u,v) apart_point_and_line(w,line_connecting(u,v))* -> distinct_points(w,v). % 0.91/1.11 17[0:Inp] || distinct_lines(u,v)*+ distinct_points(w,x)* -> apart_point_and_line(x,u)* apart_point_and_line(x,v)* apart_point_and_line(w,v)* apart_point_and_line(w,u)*. % 0.91/1.11 18[0:Res:1.0,17.0] || distinct_lines(u,v)* -> apart_point_and_line(skc4,u) apart_point_and_line(skc4,v) apart_point_and_line(skc3,v) apart_point_and_line(skc3,u). % 0.91/1.11 19[0:Res:1.0,8.0] || -> distinct_points(skc4,u) distinct_points(skc3,u)*. % 0.91/1.11 20[0:Res:1.0,13.1] || apart_point_and_line(u,line_connecting(skc3,skc4))* -> distinct_points(u,skc3). % 0.91/1.11 24[0:Res:5.0,11.0] || -> apart_point_and_line(u,line_connecting(skc3,skc4))* distinct_points(skc5,u). % 0.91/1.11 25[0:Res:5.0,12.0] || -> apart_point_and_line(skc5,u) distinct_lines(line_connecting(skc3,skc4),u)*. % 0.91/1.11 33[0:Res:17.5,6.0] || distinct_points(u,skc4) distinct_lines(line_connecting(skc3,skc5),v)*+ -> apart_point_and_line(u,v)* apart_point_and_line(u,line_connecting(skc3,skc5))* apart_point_and_line(skc4,v). % 0.91/1.11 37[0:Res:1.0,33.0] || distinct_lines(line_connecting(skc3,skc5),u)* -> apart_point_and_line(skc4,u) apart_point_and_line(skc3,u) apart_point_and_line(skc3,line_connecting(skc3,skc5)). % 0.91/1.11 41[1:Spt:37.0,37.1,37.2] || distinct_lines(line_connecting(skc3,skc5),u)* -> apart_point_and_line(skc4,u) apart_point_and_line(skc3,u). % 0.91/1.11 55[0:Res:24.0,20.0] || -> distinct_points(skc5,u)* distinct_points(u,skc3)*. % 0.91/1.11 58[0:Res:25.1,9.0] || -> apart_point_and_line(skc5,u) distinct_lines(u,v)* distinct_lines(line_connecting(skc3,skc4),v)*. % 0.91/1.11 66[0:Res:19.1,8.0] || -> distinct_points(skc4,u)* distinct_points(u,v)* distinct_points(skc3,v)*. % 0.91/1.11 67[0:Res:55.0,8.0] || -> distinct_points(u,skc3)* distinct_points(u,v)* distinct_points(skc5,v)*. % 0.91/1.11 74[0:Res:24.0,11.0] || -> distinct_points(skc5,u)* apart_point_and_line(v,line_connecting(skc3,skc4))* distinct_points(u,v)*. % 0.91/1.11 91[0:Res:66.2,2.0] || -> distinct_points(skc4,u)* distinct_points(u,skc3)*. % 0.91/1.11 93[0:Res:91.0,8.0] || -> distinct_points(u,skc3)* distinct_points(u,v)* distinct_points(skc4,v)*. % 0.91/1.11 105[0:Res:67.2,2.0] || -> distinct_points(u,skc3)* distinct_points(u,skc5). % 0.91/1.11 110[0:Res:105.0,2.0] || -> distinct_points(skc3,skc5)*. % 0.91/1.11 137[0:Res:93.2,2.0] || -> distinct_points(u,skc3)* distinct_points(u,skc4). % 0.91/1.11 143[0:Res:137.0,8.0] || -> distinct_points(u,skc4)* distinct_points(skc3,v)* distinct_points(u,v)*. % 0.91/1.11 182[0:Res:143.2,2.0] || -> distinct_points(u,skc4)* distinct_points(skc3,u)*. % 0.91/1.11 231[0:Res:74.0,8.0] || -> apart_point_and_line(u,line_connecting(skc3,skc4))* distinct_points(v,u)* distinct_points(v,w)* distinct_points(skc5,w)*. % 0.91/1.11 251[0:Res:58.1,18.0] || -> apart_point_and_line(skc5,u) distinct_lines(line_connecting(skc3,skc4),v)* apart_point_and_line(skc4,u) apart_point_and_line(skc4,v) apart_point_and_line(skc3,v) apart_point_and_line(skc3,u)*. % 0.91/1.11 940[0:Res:231.1,2.0] || -> apart_point_and_line(u,line_connecting(skc3,skc4))* distinct_points(u,v)* distinct_points(skc5,v)*. % 0.91/1.11 959[0:Res:940.2,8.0] || -> apart_point_and_line(u,line_connecting(skc3,skc4))* distinct_points(u,v)* distinct_points(v,w)* distinct_points(skc5,w)*. % 0.91/1.11 1617[0:Fac:959.2,959.3] || -> apart_point_and_line(u,line_connecting(skc3,skc4))* distinct_points(u,skc5) distinct_points(skc5,v)*. % 0.91/1.11 1640[2:Spt:1617.2] || -> distinct_points(skc5,u)*. % 0.91/1.11 1641[2:UnC:1640.0,2.0] || -> . % 0.91/1.11 1642[2:Spt:1641.0,1617.0,1617.1] || -> apart_point_and_line(u,line_connecting(skc3,skc4))* distinct_points(u,skc5). % 0.91/1.11 2475[3:Spt:251.1,251.3,251.4] || -> distinct_lines(line_connecting(skc3,skc4),u)* apart_point_and_line(skc4,u) apart_point_and_line(skc3,u). % 0.91/1.11 2481[3:Res:2475.0,3.0] || -> apart_point_and_line(skc4,line_connecting(skc3,skc4)) apart_point_and_line(skc3,line_connecting(skc3,skc4))*. % 0.91/1.11 2487[4:Spt:2481.0] || -> apart_point_and_line(skc4,line_connecting(skc3,skc4))*. % 0.91/1.11 2493[4:Res:2487.0,14.1] || distinct_points(skc3,skc4)* -> distinct_points(skc4,skc4). % 0.91/1.11 2497[4:MRR:2493.0,2493.1,182.1,2.0] || -> . % 0.91/1.11 2498[4:Spt:2497.0,2481.0,2487.0] || apart_point_and_line(skc4,line_connecting(skc3,skc4))* -> . % 0.91/1.11 2499[4:Spt:2497.0,2481.1] || -> apart_point_and_line(skc3,line_connecting(skc3,skc4))*. % 0.91/1.11 2547[4:Res:2499.0,13.1] || distinct_points(skc3,skc4) -> distinct_points(skc3,skc3)*. % 0.91/1.11 2552[4:MRR:2547.0,2547.1,182.0,2.0] || -> . % 0.91/1.11 2553[3:Spt:2552.0,251.0,251.2,251.5] || -> apart_point_and_line(skc5,u) apart_point_and_line(skc4,u) apart_point_and_line(skc3,u)*. % 0.91/1.11 2559[3:Res:2553.2,12.0] || -> apart_point_and_line(skc5,u) apart_point_and_line(skc4,u) distinct_lines(u,v)* apart_point_and_line(skc3,v). % 0.91/1.11 2566[3:Res:2559.2,41.0] || -> apart_point_and_line(skc5,line_connecting(skc3,skc5)) apart_point_and_line(skc4,line_connecting(skc3,skc5))* apart_point_and_line(skc3,u)* apart_point_and_line(skc4,u) apart_point_and_line(skc3,u)*. % 0.91/1.11 2572[3:Obv:2566.2] || -> apart_point_and_line(skc5,line_connecting(skc3,skc5)) apart_point_and_line(skc4,line_connecting(skc3,skc5))* apart_point_and_line(skc4,u) apart_point_and_line(skc3,u)*. % 0.91/1.11 2573[3:MRR:2572.1,6.0] || -> apart_point_and_line(skc5,line_connecting(skc3,skc5))* apart_point_and_line(skc4,u) apart_point_and_line(skc3,u)*. % 0.91/1.11 2578[4:Spt:2573.1,2573.2] || -> apart_point_and_line(skc4,u) apart_point_and_line(skc3,u)*. % 0.91/1.11 2579[4:Res:2578.1,20.0] || -> apart_point_and_line(skc4,line_connecting(skc3,skc4))* distinct_points(skc3,skc3). % 0.91/1.11 2586[4:MRR:2579.1,2.0] || -> apart_point_and_line(skc4,line_connecting(skc3,skc4))*. % 0.91/1.11 2592[4:Res:2586.0,14.1] || distinct_points(skc3,skc4)* -> distinct_points(skc4,skc4). % 0.91/1.11 2596[4:MRR:2592.0,2592.1,182.1,2.0] || -> . % 0.91/1.11 2597[4:Spt:2596.0,2573.0] || -> apart_point_and_line(skc5,line_connecting(skc3,skc5))*. % 0.91/1.11 2600[4:Res:2597.0,14.1] || distinct_points(skc3,skc5)* -> distinct_points(skc5,skc5). % 0.91/1.11 2603[4:MRR:2600.0,2600.1,110.0,2.0] || -> . % 0.91/1.11 2604[1:Spt:2603.0,37.3] || -> apart_point_and_line(skc3,line_connecting(skc3,skc5))*. % 0.91/1.11 2606[1:Res:2604.0,13.1] || distinct_points(skc3,skc5) -> distinct_points(skc3,skc3)*. % 0.91/1.11 2610[1:MRR:2606.0,2606.1,110.0,2.0] || -> . % 0.91/1.11 % SZS output end Refutation % 0.91/1.11 Formulae used in the proof : con apart1 apart2 apart4 apart5 ceq1 ceq2 con1 cu1 % 0.91/1.11 %------------------------------------------------------------------------------