TSTP Solution File: GEO177+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO177+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 06:22:59 EDT 2022
% Result : Theorem 0.50s 0.68s
% Output : Refutation 0.50s
% 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 : GEO177+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 17:55:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.50/0.68
% 0.50/0.68 SPASS V 3.9
% 0.50/0.68 SPASS beiseite: Proof found.
% 0.50/0.68 % SZS status Theorem
% 0.50/0.68 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.68 SPASS derived 1396 clauses, backtracked 85 clauses, performed 5 splits and kept 522 clauses.
% 0.50/0.68 SPASS allocated 85796 KBytes.
% 0.50/0.68 SPASS spent 0:00:00.33 on the problem.
% 0.50/0.68 0:00:00.04 for the input.
% 0.50/0.68 0:00:00.03 for the FLOTTER CNF translation.
% 0.50/0.68 0:00:00.03 for inferences.
% 0.50/0.68 0:00:00.00 for the backtracking.
% 0.50/0.68 0:00:00.21 for the reduction.
% 0.50/0.68
% 0.50/0.68
% 0.50/0.68 Here is a proof with depth 10, length 59 :
% 0.50/0.68 % SZS output start Refutation
% 0.50/0.68 1[0:Inp] || -> distinct_points(skc7,skc6)*.
% 0.50/0.68 2[0:Inp] || -> distinct_points(skc4,skc5)*.
% 0.50/0.68 3[0:Inp] || distinct_points(u,u)* -> .
% 0.50/0.68 6[0:Inp] || apart_point_and_line(skc4,line_connecting(skc7,skc6))* -> .
% 0.50/0.68 7[0:Inp] || apart_point_and_line(skc5,line_connecting(skc7,skc6))* -> .
% 0.50/0.68 9[0:Inp] || -> apart_point_and_line(skc6,line_connecting(skc4,skc5))* apart_point_and_line(skc7,line_connecting(skc4,skc5)).
% 0.50/0.68 10[0:Inp] || distinct_points(u,v)*+ -> distinct_points(v,w)* distinct_points(u,w)*.
% 0.50/0.68 13[0:Inp] || apart_point_and_line(u,v)*+ -> apart_point_and_line(w,v)* distinct_points(u,w)*.
% 0.50/0.68 14[0:Inp] || apart_point_and_line(u,v)*+ -> distinct_lines(v,w)* apart_point_and_line(u,w)*.
% 0.50/0.68 15[0:Inp] || distinct_points(u,v) apart_point_and_line(w,line_connecting(u,v))* -> distinct_points(w,u).
% 0.50/0.68 16[0:Inp] || distinct_points(u,v) apart_point_and_line(w,line_connecting(u,v))* -> distinct_points(w,v).
% 0.50/0.68 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)*.
% 0.50/0.68 20[0:Res:2.0,19.0] || distinct_lines(u,v)* -> apart_point_and_line(skc5,u) apart_point_and_line(skc5,v) apart_point_and_line(skc4,v) apart_point_and_line(skc4,u).
% 0.50/0.68 21[0:Res:2.0,10.0] || -> distinct_points(skc5,u) distinct_points(skc4,u)*.
% 0.50/0.68 22[0:Res:2.0,15.1] || apart_point_and_line(u,line_connecting(skc4,skc5))* -> distinct_points(u,skc4).
% 0.50/0.68 25[0:Res:1.0,10.0] || -> distinct_points(skc6,u)* distinct_points(skc7,u).
% 0.50/0.68 26[0:Res:1.0,15.1] || apart_point_and_line(u,line_connecting(skc7,skc6))* -> distinct_points(u,skc7).
% 0.50/0.68 47[0:Res:9.0,22.0] || -> apart_point_and_line(skc7,line_connecting(skc4,skc5))* distinct_points(skc6,skc4).
% 0.50/0.68 49[1:Spt:47.0] || -> apart_point_and_line(skc7,line_connecting(skc4,skc5))*.
% 0.50/0.68 59[0:Res:21.1,10.0] || -> distinct_points(skc5,u)* distinct_points(u,v)* distinct_points(skc4,v)*.
% 0.50/0.68 64[1:Res:49.0,13.0] || -> apart_point_and_line(u,line_connecting(skc4,skc5))* distinct_points(skc7,u).
% 0.50/0.68 76[1:Res:64.0,14.0] || -> distinct_points(skc7,u) distinct_lines(line_connecting(skc4,skc5),v)* apart_point_and_line(u,v)*.
% 0.50/0.68 93[0:Res:59.2,3.0] || -> distinct_points(skc5,u)* distinct_points(u,skc4)*.
% 0.50/0.68 97[0:Res:93.0,10.0] || -> distinct_points(u,skc4)* distinct_points(u,v)* distinct_points(skc5,v)*.
% 0.50/0.68 170[0:Res:97.2,3.0] || -> distinct_points(u,skc4)* distinct_points(u,skc5).
% 0.50/0.68 176[0:Res:170.0,10.0] || -> distinct_points(u,skc5)* distinct_points(skc4,v)* distinct_points(u,v)*.
% 0.50/0.68 230[0:Res:176.2,3.0] || -> distinct_points(u,skc5)* distinct_points(skc4,u)*.
% 0.50/0.68 302[1:Res:76.2,26.0] || -> distinct_points(skc7,u)* distinct_lines(line_connecting(skc4,skc5),line_connecting(skc7,skc6))* distinct_points(u,skc7)*.
% 0.50/0.68 1119[2:Spt:302.0,302.2] || -> distinct_points(skc7,u)* distinct_points(u,skc7)*.
% 0.50/0.68 1120[2:Fac:1119.0,1119.1] || -> distinct_points(skc7,skc7)*.
% 0.50/0.68 1123[2:MRR:1120.0,3.0] || -> .
% 0.50/0.68 1125[2:Spt:1123.0,302.1] || -> distinct_lines(line_connecting(skc4,skc5),line_connecting(skc7,skc6))*.
% 0.50/0.68 1126[2:Res:1125.0,20.0] || -> apart_point_and_line(skc5,line_connecting(skc4,skc5)) apart_point_and_line(skc5,line_connecting(skc7,skc6)) apart_point_and_line(skc4,line_connecting(skc7,skc6)) apart_point_and_line(skc4,line_connecting(skc4,skc5))*.
% 0.50/0.68 1134[2:MRR:1126.1,1126.2,7.0,6.0] || -> apart_point_and_line(skc5,line_connecting(skc4,skc5)) apart_point_and_line(skc4,line_connecting(skc4,skc5))*.
% 0.50/0.68 1202[3:Spt:1134.0] || -> apart_point_and_line(skc5,line_connecting(skc4,skc5))*.
% 0.50/0.68 1206[3:Res:1202.0,16.1] || distinct_points(skc4,skc5)* -> distinct_points(skc5,skc5).
% 0.50/0.68 1213[3:MRR:1206.0,1206.1,230.1,3.0] || -> .
% 0.50/0.68 1214[3:Spt:1213.0,1134.0,1202.0] || apart_point_and_line(skc5,line_connecting(skc4,skc5))* -> .
% 0.50/0.68 1215[3:Spt:1213.0,1134.1] || -> apart_point_and_line(skc4,line_connecting(skc4,skc5))*.
% 0.50/0.68 1220[3:Res:1215.0,15.1] || distinct_points(skc4,skc5) -> distinct_points(skc4,skc4)*.
% 0.50/0.68 1228[3:MRR:1220.0,1220.1,230.0,3.0] || -> .
% 0.50/0.68 1229[1:Spt:1228.0,47.0,49.0] || apart_point_and_line(skc7,line_connecting(skc4,skc5))* -> .
% 0.50/0.68 1230[1:Spt:1228.0,47.1] || -> distinct_points(skc6,skc4)*.
% 0.50/0.68 1232[1:MRR:9.1,1229.0] || -> apart_point_and_line(skc6,line_connecting(skc4,skc5))*.
% 0.50/0.68 1239[1:Res:1232.0,14.0] || -> distinct_lines(line_connecting(skc4,skc5),u)* apart_point_and_line(skc6,u).
% 0.50/0.68 1242[1:Res:1239.0,20.0] || -> apart_point_and_line(skc6,u) apart_point_and_line(skc5,line_connecting(skc4,skc5)) apart_point_and_line(skc5,u) apart_point_and_line(skc4,u)* apart_point_and_line(skc4,line_connecting(skc4,skc5))*.
% 0.50/0.68 1542[2:Spt:1242.0,1242.2,1242.3] || -> apart_point_and_line(skc6,u) apart_point_and_line(skc5,u) apart_point_and_line(skc4,u)*.
% 0.50/0.68 1543[2:Res:1542.2,6.0] || -> apart_point_and_line(skc6,line_connecting(skc7,skc6)) apart_point_and_line(skc5,line_connecting(skc7,skc6))*.
% 0.50/0.68 1557[2:MRR:1543.1,7.0] || -> apart_point_and_line(skc6,line_connecting(skc7,skc6))*.
% 0.50/0.68 1566[2:Res:1557.0,16.1] || distinct_points(skc7,skc6) -> distinct_points(skc6,skc6)*.
% 0.50/0.68 1570[2:MRR:1566.0,1566.1,25.1,3.0] || -> .
% 0.50/0.68 1571[2:Spt:1570.0,1242.1,1242.4] || -> apart_point_and_line(skc5,line_connecting(skc4,skc5)) apart_point_and_line(skc4,line_connecting(skc4,skc5))*.
% 0.50/0.68 1572[3:Spt:1571.0] || -> apart_point_and_line(skc5,line_connecting(skc4,skc5))*.
% 0.50/0.68 1576[3:Res:1572.0,16.1] || distinct_points(skc4,skc5)* -> distinct_points(skc5,skc5).
% 0.50/0.68 1583[3:MRR:1576.0,1576.1,230.1,3.0] || -> .
% 0.50/0.68 1584[3:Spt:1583.0,1571.0,1572.0] || apart_point_and_line(skc5,line_connecting(skc4,skc5))* -> .
% 0.50/0.68 1585[3:Spt:1583.0,1571.1] || -> apart_point_and_line(skc4,line_connecting(skc4,skc5))*.
% 0.50/0.68 1594[3:Res:1585.0,15.1] || distinct_points(skc4,skc5) -> distinct_points(skc4,skc4)*.
% 0.50/0.68 1602[3:MRR:1594.0,1594.1,230.0,3.0] || -> .
% 0.50/0.68 % SZS output end Refutation
% 0.50/0.68 Formulae used in the proof : con apart1 apart4 ceq1 ceq2 con1 cu1
% 0.50/0.68
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