TSTP Solution File: GEO187+2 by SPASS---3.9
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- Process Solution
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% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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