TSTP Solution File: GEO180+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 06:23:01 EDT 2022
% Result : Theorem 0.66s 0.82s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.10 % Command : run_spass %d %s
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 600
% 0.11/0.29 % DateTime : Sat Jun 18 05:58:31 EDT 2022
% 0.11/0.29 % CPUTime :
% 0.66/0.82
% 0.66/0.82 SPASS V 3.9
% 0.66/0.82 SPASS beiseite: Proof found.
% 0.66/0.82 % SZS status Theorem
% 0.66/0.82 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.82 SPASS derived 1819 clauses, backtracked 122 clauses, performed 4 splits and kept 771 clauses.
% 0.66/0.82 SPASS allocated 86468 KBytes.
% 0.66/0.82 SPASS spent 0:00:00.51 on the problem.
% 0.66/0.82 0:00:00.03 for the input.
% 0.66/0.82 0:00:00.02 for the FLOTTER CNF translation.
% 0.66/0.82 0:00:00.03 for inferences.
% 0.66/0.82 0:00:00.00 for the backtracking.
% 0.66/0.82 0:00:00.40 for the reduction.
% 0.66/0.82
% 0.66/0.82
% 0.66/0.82 Here is a proof with depth 7, length 51 :
% 0.66/0.82 % SZS output start Refutation
% 0.66/0.82 1[0:Inp] || -> distinct_points(skc3,skc4)*.
% 0.66/0.82 2[0:Inp] || distinct_points(u,u)* -> .
% 0.66/0.82 5[0:Inp] || -> apart_point_and_line(skc5,line_connecting(skc3,skc4))*.
% 0.66/0.82 6[0:Inp] || apart_point_and_line(skc3,line_connecting(skc5,skc4))* -> .
% 0.66/0.82 8[0:Inp] || distinct_points(u,v)*+ -> distinct_points(v,w)* distinct_points(u,w)*.
% 0.66/0.82 11[0:Inp] || apart_point_and_line(u,v)*+ -> apart_point_and_line(w,v)* distinct_points(u,w)*.
% 0.66/0.82 12[0:Inp] || apart_point_and_line(u,v)*+ -> distinct_lines(v,w)* apart_point_and_line(u,w)*.
% 0.66/0.82 13[0:Inp] || distinct_points(u,v) apart_point_and_line(w,line_connecting(u,v))* -> distinct_points(w,u).
% 0.66/0.82 14[0:Inp] || distinct_points(u,v) apart_point_and_line(w,line_connecting(u,v))* -> distinct_points(w,v).
% 0.66/0.82 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)*.
% 0.66/0.82 19[0:Res:1.0,8.0] || -> distinct_points(skc4,u) distinct_points(skc3,u)*.
% 0.66/0.82 21[0:Res:1.0,14.1] || apart_point_and_line(u,line_connecting(skc3,skc4))* -> distinct_points(u,skc4).
% 0.66/0.82 24[0:Res:5.0,11.0] || -> apart_point_and_line(u,line_connecting(skc3,skc4))* distinct_points(skc5,u).
% 0.66/0.82 27[0:Res:5.0,14.0] || distinct_points(skc3,skc4)* -> distinct_points(skc5,skc4).
% 0.66/0.82 30[0:Res:17.3,6.0] || distinct_lines(u,line_connecting(skc5,skc4))*+ distinct_points(skc3,v) -> apart_point_and_line(v,u)* apart_point_and_line(v,line_connecting(skc5,skc4))* apart_point_and_line(skc3,u).
% 0.66/0.82 35[0:MRR:27.0,1.0] || -> distinct_points(skc5,skc4)*.
% 0.66/0.82 37[0:Res:1.0,30.0] || distinct_lines(u,line_connecting(skc5,skc4))* -> apart_point_and_line(skc4,u) apart_point_and_line(skc3,u) apart_point_and_line(skc4,line_connecting(skc5,skc4)).
% 0.66/0.82 40[1:Spt:37.0,37.1,37.2] || distinct_lines(u,line_connecting(skc5,skc4))* -> apart_point_and_line(skc4,u) apart_point_and_line(skc3,u).
% 0.66/0.82 52[0:Res:24.0,21.0] || -> distinct_points(skc5,u)* distinct_points(u,skc4)*.
% 0.66/0.82 61[0:Res:35.0,8.0] || -> distinct_points(skc4,u)* distinct_points(skc5,u).
% 0.66/0.82 66[0:Res:19.1,8.0] || -> distinct_points(skc4,u)* distinct_points(u,v)* distinct_points(skc3,v)*.
% 0.66/0.82 74[0:Res:24.0,11.0] || -> distinct_points(skc5,u)* apart_point_and_line(v,line_connecting(skc3,skc4))* distinct_points(u,v)*.
% 0.66/0.82 91[0:Res:66.2,2.0] || -> distinct_points(skc4,u)* distinct_points(u,skc3)*.
% 0.66/0.82 93[0:Res:91.0,8.0] || -> distinct_points(u,skc3)* distinct_points(u,v)* distinct_points(skc4,v)*.
% 0.66/0.82 97[0:Res:24.0,12.0] || -> distinct_points(skc5,u) distinct_lines(line_connecting(skc3,skc4),v)* apart_point_and_line(u,v)*.
% 0.66/0.82 137[0:Res:93.2,2.0] || -> distinct_points(u,skc3)* distinct_points(u,skc4).
% 0.66/0.82 143[0:Res:137.0,8.0] || -> distinct_points(u,skc4)* distinct_points(skc3,v)* distinct_points(u,v)*.
% 0.66/0.82 182[0:Res:143.2,2.0] || -> distinct_points(u,skc4)* distinct_points(skc3,u)*.
% 0.66/0.82 231[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)*.
% 0.66/0.82 271[0:Res:97.2,13.1] || distinct_points(u,v)+ -> distinct_points(skc5,w)* distinct_lines(line_connecting(skc3,skc4),line_connecting(u,v))* distinct_points(w,u)*.
% 0.66/0.82 940[0:Res:231.1,2.0] || -> apart_point_and_line(u,line_connecting(skc3,skc4))* distinct_points(u,v)* distinct_points(skc5,v)*.
% 0.66/0.82 959[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)*.
% 0.66/0.82 1617[0:Fac:959.2,959.3] || -> apart_point_and_line(u,line_connecting(skc3,skc4))* distinct_points(u,skc5) distinct_points(skc5,v)*.
% 0.66/0.82 1640[2:Spt:1617.2] || -> distinct_points(skc5,u)*.
% 0.66/0.82 1641[2:UnC:1640.0,2.0] || -> .
% 0.66/0.82 1642[2:Spt:1641.0,1617.0,1617.1] || -> apart_point_and_line(u,line_connecting(skc3,skc4))* distinct_points(u,skc5).
% 0.66/0.82 1811[0:Res:52.1,271.0] || -> distinct_points(skc5,u) distinct_points(skc5,v)* distinct_lines(line_connecting(skc3,skc4),line_connecting(u,skc4))* distinct_points(v,u)*.
% 0.66/0.82 2067[0:MRR:1811.1,8.0] || -> distinct_points(skc5,u) distinct_lines(line_connecting(skc3,skc4),line_connecting(u,skc4))* distinct_points(v,u)*.
% 0.66/0.82 2096[1:Res:2067.1,40.0] || -> distinct_points(skc5,skc5) distinct_points(u,skc5)* apart_point_and_line(skc4,line_connecting(skc3,skc4)) apart_point_and_line(skc3,line_connecting(skc3,skc4))*.
% 0.66/0.82 2107[1:Con:2096.1] || -> distinct_points(skc5,skc5) apart_point_and_line(skc4,line_connecting(skc3,skc4)) apart_point_and_line(skc3,line_connecting(skc3,skc4))*.
% 0.66/0.82 2108[1:MRR:2107.0,2.0] || -> apart_point_and_line(skc4,line_connecting(skc3,skc4)) apart_point_and_line(skc3,line_connecting(skc3,skc4))*.
% 0.66/0.82 2118[3:Spt:2108.0] || -> apart_point_and_line(skc4,line_connecting(skc3,skc4))*.
% 0.66/0.82 2122[3:Res:2118.0,14.1] || distinct_points(skc3,skc4)* -> distinct_points(skc4,skc4).
% 0.66/0.82 2126[3:MRR:2122.0,2122.1,182.1,2.0] || -> .
% 0.66/0.82 2127[3:Spt:2126.0,2108.0,2118.0] || apart_point_and_line(skc4,line_connecting(skc3,skc4))* -> .
% 0.66/0.82 2128[3:Spt:2126.0,2108.1] || -> apart_point_and_line(skc3,line_connecting(skc3,skc4))*.
% 0.66/0.82 2148[3:Res:2128.0,13.1] || distinct_points(skc3,skc4) -> distinct_points(skc3,skc3)*.
% 0.66/0.82 2153[3:MRR:2148.0,2148.1,182.0,2.0] || -> .
% 0.66/0.82 2154[1:Spt:2153.0,37.3] || -> apart_point_and_line(skc4,line_connecting(skc5,skc4))*.
% 0.66/0.82 2157[1:Res:2154.0,14.1] || distinct_points(skc5,skc4) -> distinct_points(skc4,skc4)*.
% 0.66/0.82 2160[1:MRR:2157.0,2157.1,61.1,2.0] || -> .
% 0.66/0.82 % SZS output end Refutation
% 0.66/0.82 Formulae used in the proof : con apart1 apart4 ceq1 ceq2 con1 cu1
% 0.66/0.82
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