TSTP Solution File: KRS010-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS010-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 : Sun Jul 17 03:30:16 EDT 2022
% Result : Unsatisfiable 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KRS010-1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 7 07:23:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.45
% 0.21/0.45 SPASS V 3.9
% 0.21/0.45 SPASS beiseite: Proof found.
% 0.21/0.45 % SZS status Theorem
% 0.21/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.45 SPASS derived 125 clauses, backtracked 12 clauses, performed 4 splits and kept 115 clauses.
% 0.21/0.45 SPASS allocated 75780 KBytes.
% 0.21/0.45 SPASS spent 0:00:00.07 on the problem.
% 0.21/0.45 0:00:00.03 for the input.
% 0.21/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.45 0:00:00.00 for inferences.
% 0.21/0.45 0:00:00.00 for the backtracking.
% 0.21/0.45 0:00:00.01 for the reduction.
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 Here is a proof with depth 7, length 78 :
% 0.21/0.45 % SZS output start Refutation
% 0.21/0.45 1[0:Inp] a(u) || -> d(u)* c(u).
% 0.21/0.45 4[0:Inp] c(u) c(v) e(w) || r(w,u)*+ r(w,v)* -> equalish(v,u)*.
% 0.21/0.45 5[0:Inp] e(u) || -> r3least(u)*.
% 0.21/0.45 6[0:Inp] e(u) || r(u,v)* -> a(v).
% 0.21/0.45 17[0:Inp] r3least(u) || equalish(u2r2(u),u2r1(u))* -> .
% 0.21/0.45 18[0:Inp] r3least(u) || equalish(u2r3(u),u2r1(u))* -> .
% 0.21/0.45 19[0:Inp] r3least(u) || equalish(u2r3(u),u2r2(u))* -> .
% 0.21/0.45 20[0:Inp] r3least(u) || -> r(u,u2r1(u))*.
% 0.21/0.45 21[0:Inp] r3least(u) || -> r(u,u2r2(u))*.
% 0.21/0.45 22[0:Inp] r3least(u) || -> r(u,u2r3(u))*.
% 0.21/0.45 29[0:Inp] d(u) d(v) || r(w,u)*+ r(w,v)* -> f(w) equalish(v,u)*.
% 0.21/0.45 30[0:Inp] || -> e(exist)*.
% 0.21/0.45 31[0:Inp] || f(exist)* -> .
% 0.21/0.45 32[0:Res:30.0,4.0] c(u) c(v) || r(exist,u)*+ r(exist,v)* -> equalish(v,u)*.
% 0.21/0.45 33[0:Res:30.0,6.0] || r(exist,u)* -> a(u).
% 0.21/0.45 34[0:Res:30.0,5.0] || -> r3least(exist)*.
% 0.21/0.45 35[0:Res:29.4,31.0] d(u) d(v) || r(exist,u)*+ r(exist,v)* -> equalish(v,u)*.
% 0.21/0.45 65[0:Res:22.1,33.0] r3least(exist) || -> a(u2r3(exist))*.
% 0.21/0.45 66[0:SSi:65.0,30.0,34.0] || -> a(u2r3(exist))*.
% 0.21/0.45 67[0:Res:21.1,33.0] r3least(exist) || -> a(u2r2(exist))*.
% 0.21/0.45 68[0:SSi:67.0,30.0,34.0] || -> a(u2r2(exist))*.
% 0.21/0.45 69[0:Res:20.1,33.0] r3least(exist) || -> a(u2r1(exist))*.
% 0.21/0.45 70[0:SSi:69.0,30.0,34.0] || -> a(u2r1(exist))*.
% 0.21/0.45 106[0:Res:21.1,35.2] r3least(exist) d(u2r2(exist)) d(u) || r(exist,u) -> equalish(u,u2r2(exist))*.
% 0.21/0.45 107[0:Res:20.1,35.2] r3least(exist) d(u2r1(exist)) d(u) || r(exist,u) -> equalish(u,u2r1(exist))*.
% 0.21/0.45 117[0:SSi:106.0,30.0,34.0] d(u2r2(exist)) d(u) || r(exist,u) -> equalish(u,u2r2(exist))*.
% 0.21/0.45 118[0:SSi:107.0,30.0,34.0] d(u2r1(exist)) d(u) || r(exist,u) -> equalish(u,u2r1(exist))*.
% 0.21/0.45 133[0:SoR:117.0,1.1] d(u) a(u2r2(exist)) || r(exist,u) -> equalish(u,u2r2(exist))* c(u2r2(exist)).
% 0.21/0.45 134[0:SSi:133.1,68.0] d(u) || r(exist,u) -> equalish(u,u2r2(exist))* c(u2r2(exist)).
% 0.21/0.45 135[1:Spt:134.0,134.1,134.2] d(u) || r(exist,u) -> equalish(u,u2r2(exist))*.
% 0.21/0.45 136[1:Res:135.2,19.1] d(u2r3(exist)) r3least(exist) || r(exist,u2r3(exist))* -> .
% 0.21/0.45 137[1:SSi:136.1,30.0,34.0] d(u2r3(exist)) || r(exist,u2r3(exist))* -> .
% 0.21/0.45 152[1:SoR:137.0,1.1] a(u2r3(exist)) || r(exist,u2r3(exist))* -> c(u2r3(exist)).
% 0.21/0.45 153[1:SSi:152.0,66.0] || r(exist,u2r3(exist))* -> c(u2r3(exist)).
% 0.21/0.45 154[1:Res:22.1,153.0] r3least(exist) || -> c(u2r3(exist))*.
% 0.21/0.45 155[1:SSi:154.0,30.0,34.0] || -> c(u2r3(exist))*.
% 0.21/0.45 156[0:SoR:118.0,1.1] d(u) a(u2r1(exist)) || r(exist,u) -> equalish(u,u2r1(exist))* c(u2r1(exist)).
% 0.21/0.45 157[0:SSi:156.1,70.0] d(u) || r(exist,u) -> equalish(u,u2r1(exist))* c(u2r1(exist)).
% 0.21/0.45 169[2:Spt:157.0,157.1,157.2] d(u) || r(exist,u) -> equalish(u,u2r1(exist))*.
% 0.21/0.45 171[2:Res:169.2,17.1] d(u2r2(exist)) r3least(exist) || r(exist,u2r2(exist))* -> .
% 0.21/0.45 172[2:SSi:171.1,30.0,34.0] d(u2r2(exist)) || r(exist,u2r2(exist))* -> .
% 0.21/0.45 173[2:SoR:172.0,1.1] a(u2r2(exist)) || r(exist,u2r2(exist))* -> c(u2r2(exist)).
% 0.21/0.45 174[2:SSi:173.0,68.0] || r(exist,u2r2(exist))* -> c(u2r2(exist)).
% 0.21/0.45 175[2:Res:21.1,174.0] r3least(exist) || -> c(u2r2(exist))*.
% 0.21/0.45 176[2:SSi:175.0,30.0,34.0] || -> c(u2r2(exist))*.
% 0.21/0.45 180[0:Res:21.1,32.2] r3least(exist) c(u2r2(exist)) c(u) || r(exist,u) -> equalish(u,u2r2(exist))*.
% 0.21/0.45 181[0:Res:20.1,32.2] r3least(exist) c(u2r1(exist)) c(u) || r(exist,u) -> equalish(u,u2r1(exist))*.
% 0.21/0.45 189[2:SSi:180.1,180.0,68.0,176.0,30.0,34.0] c(u) || r(exist,u) -> equalish(u,u2r2(exist))*.
% 0.21/0.45 190[0:SSi:181.0,30.0,34.0] c(u2r1(exist)) c(u) || r(exist,u) -> equalish(u,u2r1(exist))*.
% 0.21/0.45 191[2:Res:189.2,19.1] c(u2r3(exist)) r3least(exist) || r(exist,u2r3(exist))* -> .
% 0.21/0.45 192[2:SSi:191.1,191.0,30.0,34.0,66.0,155.0] || r(exist,u2r3(exist))* -> .
% 0.21/0.45 193[2:Res:22.1,192.0] r3least(exist) || -> .
% 0.21/0.45 194[2:SSi:193.0,30.0,34.0] || -> .
% 0.21/0.45 195[2:Spt:194.0,157.3] || -> c(u2r1(exist))*.
% 0.21/0.45 196[2:MRR:190.0,195.0] c(u) || r(exist,u) -> equalish(u,u2r1(exist))*.
% 0.21/0.45 197[0:SSi:180.0,30.0,34.0] c(u2r2(exist)) c(u) || r(exist,u) -> equalish(u,u2r2(exist))*.
% 0.21/0.45 200[2:Res:196.2,18.1] c(u2r3(exist)) r3least(exist) || r(exist,u2r3(exist))* -> .
% 0.21/0.45 202[2:SSi:200.1,200.0,30.0,34.0,66.0,155.0] || r(exist,u2r3(exist))* -> .
% 0.21/0.45 204[2:Res:22.1,202.0] r3least(exist) || -> .
% 0.21/0.45 205[2:SSi:204.0,30.0,34.0] || -> .
% 0.21/0.45 206[1:Spt:205.0,134.3] || -> c(u2r2(exist))*.
% 0.21/0.45 207[1:MRR:197.0,206.0] c(u) || r(exist,u) -> equalish(u,u2r2(exist))*.
% 0.21/0.45 209[1:Res:207.2,19.1] c(u2r3(exist)) r3least(exist) || r(exist,u2r3(exist))* -> .
% 0.21/0.45 210[1:SSi:209.1,30.0,34.0] c(u2r3(exist)) || r(exist,u2r3(exist))* -> .
% 0.21/0.45 212[2:Spt:157.0,157.1,157.2] d(u) || r(exist,u) -> equalish(u,u2r1(exist))*.
% 0.21/0.45 213[2:Res:212.2,18.1] d(u2r3(exist)) r3least(exist) || r(exist,u2r3(exist))* -> .
% 0.21/0.45 215[2:SSi:213.1,30.0,34.0] d(u2r3(exist)) || r(exist,u2r3(exist))* -> .
% 0.21/0.45 217[2:SoR:215.0,1.1] a(u2r3(exist)) || r(exist,u2r3(exist))* -> c(u2r3(exist)).
% 0.21/0.45 218[2:SSi:217.0,66.0] || r(exist,u2r3(exist))* -> c(u2r3(exist)).
% 0.21/0.45 219[2:MRR:218.1,210.0] || r(exist,u2r3(exist))* -> .
% 0.21/0.45 220[2:Res:22.1,219.0] r3least(exist) || -> .
% 0.21/0.45 221[2:SSi:220.0,30.0,34.0] || -> .
% 0.21/0.45 222[2:Spt:221.0,157.3] || -> c(u2r1(exist))*.
% 0.21/0.45 223[2:MRR:190.0,222.0] c(u) || r(exist,u) -> equalish(u,u2r1(exist))*.
% 0.21/0.45 226[2:Res:223.2,17.1] c(u2r2(exist)) r3least(exist) || r(exist,u2r2(exist))* -> .
% 0.21/0.45 227[2:SSi:226.1,226.0,30.0,34.0,68.0,206.0] || r(exist,u2r2(exist))* -> .
% 0.21/0.45 228[2:Res:21.1,227.0] r3least(exist) || -> .
% 0.21/0.45 229[2:SSi:228.0,30.0,34.0] || -> .
% 0.21/0.45 % SZS output end Refutation
% 0.21/0.45 Formulae used in the proof : clause_3 clause_6 clause_7 clause_8 clause_19 clause_20 clause_21 clause_22 clause_23 clause_24 clause_31 clause_1 clause_2
% 0.21/0.45
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