TSTP Solution File: GEO188+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 06:23:08 EDT 2022
% Result : Theorem 0.68s 0.89s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 13:26:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/0.89
% 0.68/0.89 SPASS V 3.9
% 0.68/0.89 SPASS beiseite: Proof found.
% 0.68/0.89 % SZS status Theorem
% 0.68/0.89 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.89 SPASS derived 2331 clauses, backtracked 259 clauses, performed 7 splits and kept 872 clauses.
% 0.68/0.89 SPASS allocated 86717 KBytes.
% 0.68/0.89 SPASS spent 0:00:00.55 on the problem.
% 0.68/0.89 0:00:00.04 for the input.
% 0.68/0.89 0:00:00.03 for the FLOTTER CNF translation.
% 0.68/0.89 0:00:00.05 for inferences.
% 0.68/0.89 0:00:00.00 for the backtracking.
% 0.68/0.89 0:00:00.41 for the reduction.
% 0.68/0.89
% 0.68/0.89
% 0.68/0.89 Here is a proof with depth 7, length 78 :
% 0.68/0.89 % SZS output start Refutation
% 0.68/0.89 1[0:Inp] || -> distinct_points(skc5,skc3)*.
% 0.68/0.89 2[0:Inp] || -> distinct_points(skc5,skc4)*.
% 0.68/0.89 3[0:Inp] || -> distinct_points(skc3,skc4)*.
% 0.68/0.89 4[0:Inp] || distinct_points(u,u)* -> .
% 0.68/0.89 5[0:Inp] || distinct_lines(u,u)* -> .
% 0.68/0.89 7[0:Inp] || -> apart_point_and_line(skc5,line_connecting(skc4,skc3))*.
% 0.68/0.89 8[0:Inp] || apart_point_and_line(skc4,line_connecting(skc5,skc3))* -> .
% 0.68/0.89 10[0:Inp] || distinct_points(u,v)*+ -> distinct_points(v,w)* distinct_points(u,w)*.
% 0.68/0.89 11[0:Inp] || distinct_lines(u,v)*+ -> distinct_lines(v,w)* distinct_lines(u,w)*.
% 0.68/0.89 13[0:Inp] || apart_point_and_line(u,v)*+ -> apart_point_and_line(w,v)* distinct_points(u,w)*.
% 0.68/0.89 14[0:Inp] || apart_point_and_line(u,v)*+ -> distinct_lines(v,w)* apart_point_and_line(u,w)*.
% 0.68/0.89 15[0:Inp] || distinct_points(u,v) apart_point_and_line(w,line_connecting(u,v))* -> distinct_points(w,u).
% 0.68/0.89 16[0:Inp] || distinct_points(u,v) apart_point_and_line(w,line_connecting(u,v))* -> distinct_points(w,v).
% 0.68/0.89 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)*.
% 0.68/0.89 20[0:Res:3.0,19.0] || 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).
% 0.68/0.89 21[0:Res:3.0,10.0] || -> distinct_points(skc4,u) distinct_points(skc3,u)*.
% 0.68/0.89 26[0:Res:2.0,15.1] || apart_point_and_line(u,line_connecting(skc5,skc4))* -> distinct_points(u,skc5).
% 0.68/0.89 28[0:Res:1.0,19.0] || distinct_lines(u,v)* -> apart_point_and_line(skc3,u) apart_point_and_line(skc3,v) apart_point_and_line(skc5,v) apart_point_and_line(skc5,u).
% 0.68/0.89 29[0:Res:1.0,10.0] || -> distinct_points(skc3,u)* distinct_points(skc5,u).
% 0.68/0.89 30[0:Res:1.0,15.1] || apart_point_and_line(u,line_connecting(skc5,skc3))* -> distinct_points(u,skc5).
% 0.68/0.89 31[0:Res:1.0,16.1] || apart_point_and_line(u,line_connecting(skc5,skc3))* -> distinct_points(u,skc3).
% 0.68/0.89 34[0:Res:7.0,13.0] || -> apart_point_and_line(u,line_connecting(skc4,skc3))* distinct_points(skc5,u).
% 0.68/0.89 35[0:Res:7.0,14.0] || -> apart_point_and_line(skc5,u) distinct_lines(line_connecting(skc4,skc3),u)*.
% 0.68/0.89 39[0:Res:14.1,8.0] || apart_point_and_line(skc4,u) -> distinct_lines(u,line_connecting(skc5,skc3))*.
% 0.68/0.89 52[0:Res:35.1,11.0] || -> apart_point_and_line(skc5,u) distinct_lines(u,v)* distinct_lines(line_connecting(skc4,skc3),v)*.
% 0.68/0.89 57[0:Res:21.1,10.0] || -> distinct_points(skc4,u)* distinct_points(u,v)* distinct_points(skc3,v)*.
% 0.68/0.89 58[0:Res:29.0,10.0] || -> distinct_points(skc5,u)* distinct_points(u,v)* distinct_points(skc3,v)*.
% 0.68/0.89 64[0:Res:57.2,4.0] || -> distinct_points(skc4,u)* distinct_points(u,skc3)*.
% 0.68/0.89 66[0:Res:64.0,10.0] || -> distinct_points(u,skc3)* distinct_points(u,v)* distinct_points(skc4,v)*.
% 0.68/0.89 73[0:Res:58.2,4.0] || -> distinct_points(skc5,u)* distinct_points(u,skc3)*.
% 0.68/0.89 76[0:Res:34.0,13.0] || -> distinct_points(skc5,u)* apart_point_and_line(v,line_connecting(skc4,skc3))* distinct_points(u,v)*.
% 0.68/0.89 77[0:Res:73.0,10.0] || -> distinct_points(u,skc3)* distinct_points(u,v)* distinct_points(skc5,v)*.
% 0.68/0.89 96[0:Res:66.2,4.0] || -> distinct_points(u,skc3)* distinct_points(u,skc4).
% 0.68/0.89 102[0:Res:34.0,14.0] || -> distinct_points(skc5,u) distinct_lines(line_connecting(skc4,skc3),v)* apart_point_and_line(u,v)*.
% 0.68/0.89 112[0:Res:77.2,4.0] || -> distinct_points(u,skc3)* distinct_points(u,skc5).
% 0.68/0.89 229[0:Res:76.2,10.0] || -> distinct_points(skc5,u)* apart_point_and_line(v,line_connecting(skc4,skc3))* distinct_points(v,w)* distinct_points(u,w)*.
% 0.68/0.89 248[0:Res:39.1,28.0] || apart_point_and_line(skc4,u)+ -> apart_point_and_line(skc3,u)* apart_point_and_line(skc3,line_connecting(skc5,skc3))* apart_point_and_line(skc5,line_connecting(skc5,skc3)) apart_point_and_line(skc5,u).
% 0.68/0.89 262[0:Res:102.2,30.0] || -> distinct_points(skc5,u)* distinct_lines(line_connecting(skc4,skc3),line_connecting(skc5,skc3))* distinct_points(u,skc5)*.
% 0.68/0.89 265[0:Res:102.2,26.0] || -> distinct_points(skc5,u)* distinct_lines(line_connecting(skc4,skc3),line_connecting(skc5,skc4))* distinct_points(u,skc5)*.
% 0.68/0.89 359[0:Res:52.1,20.0] || -> apart_point_and_line(skc5,u) distinct_lines(line_connecting(skc4,skc3),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)*.
% 0.68/0.89 855[1:Spt:262.0,262.2] || -> distinct_points(skc5,u)* distinct_points(u,skc5)*.
% 0.68/0.89 856[1:Fac:855.0,855.1] || -> distinct_points(skc5,skc5)*.
% 0.68/0.89 859[1:MRR:856.0,4.0] || -> .
% 0.68/0.89 861[1:Spt:859.0,262.1] || -> distinct_lines(line_connecting(skc4,skc3),line_connecting(skc5,skc3))*.
% 0.68/0.89 1019[2:Spt:248.0,248.1,248.4] || apart_point_and_line(skc4,u) -> apart_point_and_line(skc3,u)* apart_point_and_line(skc5,u).
% 0.68/0.89 1021[2:MRR:359.2,1019.0] || -> apart_point_and_line(skc5,u) distinct_lines(line_connecting(skc4,skc3),v)* apart_point_and_line(skc4,v) apart_point_and_line(skc3,v) apart_point_and_line(skc3,u)*.
% 0.68/0.89 1058[3:Spt:265.0,265.2] || -> distinct_points(skc5,u)* distinct_points(u,skc5)*.
% 0.68/0.89 1059[3:Fac:1058.0,1058.1] || -> distinct_points(skc5,skc5)*.
% 0.68/0.89 1062[3:MRR:1059.0,4.0] || -> .
% 0.68/0.89 1064[3:Spt:1062.0,265.1] || -> distinct_lines(line_connecting(skc4,skc3),line_connecting(skc5,skc4))*.
% 0.68/0.89 2153[0:Res:229.3,4.0] || -> distinct_points(skc5,u)* apart_point_and_line(v,line_connecting(skc4,skc3))* distinct_points(v,u)*.
% 0.68/0.89 2162[0:Res:2153.0,10.0] || -> apart_point_and_line(u,line_connecting(skc4,skc3))* distinct_points(u,v)* distinct_points(v,w)* distinct_points(skc5,w)*.
% 0.68/0.89 2387[0:Fac:2162.2,2162.3] || -> apart_point_and_line(u,line_connecting(skc4,skc3))* distinct_points(u,skc5) distinct_points(skc5,v)*.
% 0.68/0.89 2412[4:Spt:2387.2] || -> distinct_points(skc5,u)*.
% 0.68/0.89 2413[4:UnC:2412.0,4.0] || -> .
% 0.68/0.89 2414[4:Spt:2413.0,2387.0,2387.1] || -> apart_point_and_line(u,line_connecting(skc4,skc3))* distinct_points(u,skc5).
% 0.68/0.89 2692[5:Spt:1021.1,1021.2,1021.3] || -> distinct_lines(line_connecting(skc4,skc3),u)* apart_point_and_line(skc4,u) apart_point_and_line(skc3,u).
% 0.68/0.89 2693[5:Res:2692.0,5.0] || -> apart_point_and_line(skc4,line_connecting(skc4,skc3)) apart_point_and_line(skc3,line_connecting(skc4,skc3))*.
% 0.68/0.89 2705[6:Spt:2693.0] || -> apart_point_and_line(skc4,line_connecting(skc4,skc3))*.
% 0.68/0.89 2706[6:Res:2705.0,15.1] || distinct_points(skc4,skc3)* -> distinct_points(skc4,skc4).
% 0.68/0.89 2713[6:MRR:2706.0,2706.1,96.0,4.0] || -> .
% 0.68/0.89 2714[6:Spt:2713.0,2693.0,2705.0] || apart_point_and_line(skc4,line_connecting(skc4,skc3))* -> .
% 0.68/0.89 2715[6:Spt:2713.0,2693.1] || -> apart_point_and_line(skc3,line_connecting(skc4,skc3))*.
% 0.68/0.89 2734[6:Res:2715.0,16.1] || distinct_points(skc4,skc3) -> distinct_points(skc3,skc3)*.
% 0.68/0.89 2737[6:MRR:2734.0,2734.1,64.0,4.0] || -> .
% 0.68/0.89 2738[5:Spt:2737.0,1021.0,1021.4] || -> apart_point_and_line(skc5,u) apart_point_and_line(skc3,u)*.
% 0.68/0.89 2740[5:Res:2738.1,31.0] || -> apart_point_and_line(skc5,line_connecting(skc5,skc3))* distinct_points(skc3,skc3).
% 0.68/0.89 2750[5:MRR:2740.1,4.0] || -> apart_point_and_line(skc5,line_connecting(skc5,skc3))*.
% 0.68/0.89 2755[5:Res:2750.0,15.1] || distinct_points(skc5,skc3)* -> distinct_points(skc5,skc5).
% 0.68/0.89 2760[5:MRR:2755.0,2755.1,112.0,4.0] || -> .
% 0.68/0.89 2761[2:Spt:2760.0,248.2,248.3] || -> apart_point_and_line(skc3,line_connecting(skc5,skc3))* apart_point_and_line(skc5,line_connecting(skc5,skc3)).
% 0.68/0.89 2763[3:Spt:2761.0] || -> apart_point_and_line(skc3,line_connecting(skc5,skc3))*.
% 0.68/0.89 2768[3:Res:2763.0,16.1] || distinct_points(skc5,skc3) -> distinct_points(skc3,skc3)*.
% 0.68/0.89 2772[3:MRR:2768.0,2768.1,29.1,4.0] || -> .
% 0.68/0.89 2773[3:Spt:2772.0,2761.0,2763.0] || apart_point_and_line(skc3,line_connecting(skc5,skc3))* -> .
% 0.68/0.89 2774[3:Spt:2772.0,2761.1] || -> apart_point_and_line(skc5,line_connecting(skc5,skc3))*.
% 0.68/0.89 2784[3:Res:2774.0,15.1] || distinct_points(skc5,skc3)* -> distinct_points(skc5,skc5).
% 0.68/0.89 2789[3:MRR:2784.0,2784.1,112.0,4.0] || -> .
% 0.68/0.89 % SZS output end Refutation
% 0.68/0.89 Formulae used in the proof : con apart1 apart2 apart4 apart5 ceq1 ceq2 con1 cu1
% 0.68/0.90
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