%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : GEO187+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n008.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 06:23:07 EDT 2022 % Result : Theorem 0.42s 0.62s % Output : Refutation 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO187+2 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.13 % Command : run_spass %d %s % 0.12/0.34 % Computer : n008.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat Jun 18 16:58:37 EDT 2022 % 0.12/0.34 % CPUTime : % 0.42/0.62 % 0.42/0.62 SPASS V 3.9 % 0.42/0.62 SPASS beiseite: Proof found. % 0.42/0.62 % SZS status Theorem % 0.42/0.62 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.42/0.62 SPASS derived 1388 clauses, backtracked 78 clauses, performed 5 splits and kept 516 clauses. % 0.42/0.62 SPASS allocated 85796 KBytes. % 0.42/0.62 SPASS spent 0:00:00.27 on the problem. % 0.42/0.62 0:00:00.04 for the input. % 0.42/0.62 0:00:00.03 for the FLOTTER CNF translation. % 0.42/0.62 0:00:00.02 for inferences. % 0.42/0.62 0:00:00.00 for the backtracking. % 0.42/0.62 0:00:00.15 for the reduction. % 0.42/0.62 % 0.42/0.62 % 0.42/0.62 Here is a proof with depth 10, length 55 : % 0.42/0.62 % SZS output start Refutation % 0.42/0.62 1[0:Inp] || -> distinct_points(skc7,skc6)*. % 0.42/0.62 2[0:Inp] || -> distinct_points(skc4,skc5)*. % 0.42/0.62 3[0:Inp] || distinct_points(u,u)* -> . % 0.42/0.62 6[0:Inp] || apart_point_and_line(skc7,line_connecting(skc4,skc5))* -> . % 0.42/0.62 7[0:Inp] || apart_point_and_line(skc6,line_connecting(skc4,skc5))* -> . % 0.42/0.62 9[0:Inp] || -> apart_point_and_line(skc5,line_connecting(skc7,skc6)) apart_point_and_line(skc4,line_connecting(skc7,skc6))*. % 0.42/0.62 10[0:Inp] || distinct_points(u,v)*+ -> distinct_points(v,w)* distinct_points(u,w)*. % 0.42/0.62 13[0:Inp] || apart_point_and_line(u,v)*+ -> apart_point_and_line(w,v)* distinct_points(u,w)*. % 0.42/0.62 14[0:Inp] || apart_point_and_line(u,v)*+ -> distinct_lines(v,w)* apart_point_and_line(u,w)*. % 0.42/0.62 15[0:Inp] || distinct_points(u,v) apart_point_and_line(w,line_connecting(u,v))* -> distinct_points(w,u). % 0.42/0.62 16[0:Inp] || distinct_points(u,v) apart_point_and_line(w,line_connecting(u,v))* -> distinct_points(w,v). % 0.42/0.62 19[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)*. % 0.42/0.62 22[0:Res:2.0,15.1] || apart_point_and_line(u,line_connecting(skc4,skc5))* -> distinct_points(u,skc4). % 0.42/0.62 23[0:Res:2.0,16.1] || apart_point_and_line(u,line_connecting(skc4,skc5))* -> distinct_points(u,skc5). % 0.42/0.62 24[0:Res:1.0,19.0] || distinct_lines(u,v)* -> apart_point_and_line(skc6,u) apart_point_and_line(skc6,v) apart_point_and_line(skc7,v) apart_point_and_line(skc7,u). % 0.42/0.62 25[0:Res:1.0,10.0] || -> distinct_points(skc6,u)* distinct_points(skc7,u). % 0.42/0.62 26[0:Res:1.0,15.1] || apart_point_and_line(u,line_connecting(skc7,skc6))* -> distinct_points(u,skc7). % 0.42/0.62 48[0:Res:9.1,26.0] || -> apart_point_and_line(skc5,line_connecting(skc7,skc6))* distinct_points(skc4,skc7). % 0.42/0.62 49[1:Spt:48.0] || -> apart_point_and_line(skc5,line_connecting(skc7,skc6))*. % 0.42/0.62 57[0:Res:25.0,10.0] || -> distinct_points(skc7,u)* distinct_points(u,v)* distinct_points(skc6,v)*. % 0.42/0.62 64[1:Res:49.0,13.0] || -> apart_point_and_line(u,line_connecting(skc7,skc6))* distinct_points(skc5,u). % 0.42/0.62 72[1:Res:64.0,14.0] || -> distinct_points(skc5,u) distinct_lines(line_connecting(skc7,skc6),v)* apart_point_and_line(u,v)*. % 0.42/0.62 86[0:Res:57.2,3.0] || -> distinct_points(skc7,u)* distinct_points(u,skc6)*. % 0.42/0.62 90[0:Res:86.0,10.0] || -> distinct_points(u,skc6)* distinct_points(u,v)* distinct_points(skc7,v)*. % 0.42/0.62 173[0:Res:90.2,3.0] || -> distinct_points(u,skc6)* distinct_points(u,skc7). % 0.42/0.62 301[1:Res:72.2,23.0] || -> distinct_points(skc5,u)* distinct_lines(line_connecting(skc7,skc6),line_connecting(skc4,skc5))* distinct_points(u,skc5)*. % 0.42/0.62 1123[2:Spt:301.0,301.2] || -> distinct_points(skc5,u)* distinct_points(u,skc5)*. % 0.42/0.62 1124[2:Fac:1123.0,1123.1] || -> distinct_points(skc5,skc5)*. % 0.42/0.62 1127[2:MRR:1124.0,3.0] || -> . % 0.42/0.62 1129[2:Spt:1127.0,301.1] || -> distinct_lines(line_connecting(skc7,skc6),line_connecting(skc4,skc5))*. % 0.42/0.62 1131[2:Res:1129.0,24.0] || -> apart_point_and_line(skc6,line_connecting(skc7,skc6)) apart_point_and_line(skc6,line_connecting(skc4,skc5))* apart_point_and_line(skc7,line_connecting(skc4,skc5)) apart_point_and_line(skc7,line_connecting(skc7,skc6)). % 0.42/0.62 1138[2:MRR:1131.1,1131.2,7.0,6.0] || -> apart_point_and_line(skc6,line_connecting(skc7,skc6))* apart_point_and_line(skc7,line_connecting(skc7,skc6)). % 0.42/0.62 1202[3:Spt:1138.0] || -> apart_point_and_line(skc6,line_connecting(skc7,skc6))*. % 0.42/0.62 1206[3:Res:1202.0,16.1] || distinct_points(skc7,skc6) -> distinct_points(skc6,skc6)*. % 0.42/0.62 1213[3:MRR:1206.0,1206.1,86.0,3.0] || -> . % 0.42/0.62 1214[3:Spt:1213.0,1138.0,1202.0] || apart_point_and_line(skc6,line_connecting(skc7,skc6))* -> . % 0.42/0.62 1215[3:Spt:1213.0,1138.1] || -> apart_point_and_line(skc7,line_connecting(skc7,skc6))*. % 0.42/0.62 1220[3:Res:1215.0,15.1] || distinct_points(skc7,skc6)* -> distinct_points(skc7,skc7). % 0.42/0.62 1228[3:MRR:1220.0,1220.1,173.0,3.0] || -> . % 0.42/0.62 1229[1:Spt:1228.0,48.0,49.0] || apart_point_and_line(skc5,line_connecting(skc7,skc6))* -> . % 0.42/0.62 1230[1:Spt:1228.0,48.1] || -> distinct_points(skc4,skc7)*. % 0.42/0.62 1232[1:MRR:9.0,1229.0] || -> apart_point_and_line(skc4,line_connecting(skc7,skc6))*. % 0.42/0.62 1239[1:Res:1232.0,14.0] || -> distinct_lines(line_connecting(skc7,skc6),u)* apart_point_and_line(skc4,u). % 0.42/0.62 1243[1:Res:1239.0,24.0] || -> apart_point_and_line(skc4,u)* apart_point_and_line(skc6,line_connecting(skc7,skc6))* apart_point_and_line(skc6,u) apart_point_and_line(skc7,u) apart_point_and_line(skc7,line_connecting(skc7,skc6)). % 0.42/0.62 1546[2:Spt:1243.0,1243.2,1243.3] || -> apart_point_and_line(skc4,u)* apart_point_and_line(skc6,u) apart_point_and_line(skc7,u). % 0.42/0.62 1547[2:Res:1546.0,22.0] || -> apart_point_and_line(skc6,line_connecting(skc4,skc5))* apart_point_and_line(skc7,line_connecting(skc4,skc5)) distinct_points(skc4,skc4). % 0.42/0.62 1557[2:MRR:1547.0,1547.1,1547.2,7.0,6.0,3.0] || -> . % 0.42/0.62 1558[2:Spt:1557.0,1243.1,1243.4] || -> apart_point_and_line(skc6,line_connecting(skc7,skc6))* apart_point_and_line(skc7,line_connecting(skc7,skc6)). % 0.42/0.62 1559[3:Spt:1558.0] || -> apart_point_and_line(skc6,line_connecting(skc7,skc6))*. % 0.42/0.62 1563[3:Res:1559.0,16.1] || distinct_points(skc7,skc6) -> distinct_points(skc6,skc6)*. % 0.42/0.62 1570[3:MRR:1563.0,1563.1,86.0,3.0] || -> . % 0.42/0.62 1571[3:Spt:1570.0,1558.0,1559.0] || apart_point_and_line(skc6,line_connecting(skc7,skc6))* -> . % 0.42/0.62 1572[3:Spt:1570.0,1558.1] || -> apart_point_and_line(skc7,line_connecting(skc7,skc6))*. % 0.42/0.62 1581[3:Res:1572.0,15.1] || distinct_points(skc7,skc6)* -> distinct_points(skc7,skc7). % 0.42/0.62 1589[3:MRR:1581.0,1581.1,173.0,3.0] || -> . % 0.42/0.62 % SZS output end Refutation % 0.42/0.62 Formulae used in the proof : con apart1 apart4 ceq1 ceq2 con1 cu1 % 0.42/0.62 %------------------------------------------------------------------------------