TSTP Solution File: KRS162+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS162+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 03:30:45 EDT 2022
% Result : Theorem 0.42s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS162+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n020.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 : Tue Jun 7 20:08:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/0.58
% 0.42/0.58 SPASS V 3.9
% 0.42/0.58 SPASS beiseite: Proof found.
% 0.42/0.58 % SZS status Theorem
% 0.42/0.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58 SPASS derived 138 clauses, backtracked 84 clauses, performed 6 splits and kept 171 clauses.
% 0.42/0.58 SPASS allocated 98077 KBytes.
% 0.42/0.58 SPASS spent 0:00:00.23 on the problem.
% 0.42/0.58 0:00:00.04 for the input.
% 0.42/0.58 0:00:00.06 for the FLOTTER CNF translation.
% 0.42/0.58 0:00:00.00 for inferences.
% 0.42/0.58 0:00:00.00 for the backtracking.
% 0.42/0.58 0:00:00.11 for the reduction.
% 0.42/0.58
% 0.42/0.58
% 0.42/0.58 Here is a proof with depth 11, length 93 :
% 0.42/0.58 % SZS output start Refutation
% 0.42/0.58 1[0:Inp] || -> cowlThing(u)*.
% 0.42/0.58 2[0:Inp] cowlNothing(u) || -> .
% 0.42/0.58 3[0:Inp] || -> xsd_string(u)* xsd_integer(u).
% 0.42/0.58 4[0:Inp] || xsd_integer(skc17) -> xsd_string(skc17)* SkC0.
% 0.42/0.58 5[0:Inp] || xsd_string(skc17)* -> xsd_integer(skc17) SkC0.
% 0.42/0.58 6[0:Inp] xsd_integer(u) xsd_string(u) || -> .
% 0.42/0.58 7[0:Inp] || rp(u,v)*+ -> cA(v).
% 0.42/0.58 8[0:Inp] || rq(u,v)*+ -> cB(v).
% 0.42/0.58 9[0:Inp] cA(u) cB(u) || -> .
% 0.42/0.58 10[0:Inp] || rq(u,v)+ -> rr(u,v)*.
% 0.42/0.58 11[0:Inp] || rp(u,v)+ -> rr(u,v)*.
% 0.42/0.58 12[0:Inp] || cowlThing(skc9) SkC0 -> rp(skc11,skc13)* cowlNothing(skc10).
% 0.42/0.58 13[0:Inp] || cowlThing(skc9) SkC0 -> rp(skc11,skc12)* cowlNothing(skc10).
% 0.42/0.58 14[0:Inp] || cowlThing(skc9) SkC0 -> rq(skc11,skc16)* cowlNothing(skc10).
% 0.42/0.58 15[0:Inp] || cowlThing(skc9) SkC0 -> rq(skc11,skc15)* cowlNothing(skc10).
% 0.42/0.58 16[0:Inp] || cowlThing(skc9) SkC0 -> rq(skc11,skc14)* cowlNothing(skc10).
% 0.42/0.58 17[0:Inp] || equal(skc13,skc12) cowlThing(skc9) SkC0 -> cowlNothing(skc10)*.
% 0.42/0.58 18[0:Inp] || equal(skc16,skc15) cowlThing(skc9) SkC0 -> cowlNothing(skc10)*.
% 0.42/0.58 19[0:Inp] || equal(skc16,skc14) cowlThing(skc9) SkC0 -> cowlNothing(skc10)*.
% 0.42/0.58 20[0:Inp] || equal(skc15,skc14) cowlThing(skc9) SkC0 -> cowlNothing(skc10)*.
% 0.42/0.58 21[0:Inp] || rr(skc11,u)* rr(skc11,v)* rr(skc11,w)* rr(skc11,x)* rr(skc11,y)* cowlThing(skc9) SkC0 -> equal(u,v)* equal(u,w)* equal(u,x)* equal(u,y)* equal(v,y)* equal(v,x)* equal(v,w)* equal(w,x)* equal(w,y)* equal(x,y)* cowlNothing(skc10).
% 0.42/0.58 22[0:MRR:5.0,3.1] || -> SkC0 xsd_integer(skc17)*.
% 0.42/0.58 23[0:MRR:4.0,22.0] || -> SkC0 xsd_string(skc17)*.
% 0.42/0.58 24[0:MRR:16.0,16.3,1.0,2.0] || SkC0 -> rq(skc11,skc14)*.
% 0.42/0.58 25[0:MRR:15.0,15.3,1.0,2.0] || SkC0 -> rq(skc11,skc15)*.
% 0.42/0.58 26[0:MRR:14.0,14.3,1.0,2.0] || SkC0 -> rq(skc11,skc16)*.
% 0.42/0.58 27[0:MRR:13.0,13.3,1.0,2.0] || SkC0 -> rp(skc11,skc12)*.
% 0.42/0.58 28[0:MRR:12.0,12.3,1.0,2.0] || SkC0 -> rp(skc11,skc13)*.
% 0.42/0.58 29[0:MRR:20.1,20.3,1.0,2.0] || SkC0* equal(skc15,skc14) -> .
% 0.42/0.58 30[0:MRR:19.1,19.3,1.0,2.0] || SkC0* equal(skc16,skc14) -> .
% 0.42/0.58 31[0:MRR:18.1,18.3,1.0,2.0] || SkC0* equal(skc16,skc15) -> .
% 0.42/0.58 32[0:MRR:17.1,17.3,1.0,2.0] || SkC0* equal(skc13,skc12) -> .
% 0.42/0.58 33[0:MRR:21.5,21.17,1.0,2.0] || SkC0 rr(skc11,u)* rr(skc11,v)* rr(skc11,w)* rr(skc11,x)* rr(skc11,y)* -> equal(v,u)* equal(w,u)* equal(w,v)* equal(x,w)* equal(x,v)* equal(x,u)* equal(y,u)* equal(y,v)* equal(y,w)* equal(y,x)*.
% 0.42/0.58 34[1:Spt:22.0] || -> SkC0*.
% 0.42/0.58 35[1:MRR:24.0,34.0] || -> rq(skc11,skc14)*.
% 0.42/0.58 36[1:MRR:25.0,34.0] || -> rq(skc11,skc15)*.
% 0.42/0.58 37[1:MRR:26.0,34.0] || -> rq(skc11,skc16)*.
% 0.42/0.58 38[1:MRR:27.0,34.0] || -> rp(skc11,skc12)*.
% 0.42/0.58 39[1:MRR:28.0,34.0] || -> rp(skc11,skc13)*.
% 0.42/0.58 40[1:MRR:29.0,34.0] || equal(skc15,skc14)** -> .
% 0.42/0.58 41[1:MRR:30.0,34.0] || equal(skc16,skc14)**+ -> .
% 0.42/0.58 42[1:MRR:31.0,34.0] || equal(skc16,skc15)**+ -> .
% 0.42/0.58 43[1:MRR:32.0,34.0] || equal(skc13,skc12)**+ -> .
% 0.42/0.58 44[1:MRR:33.0,34.0] || rr(skc11,u)*+ rr(skc11,v)* rr(skc11,w)* rr(skc11,x)* rr(skc11,y)* -> equal(v,u)* equal(w,u)* equal(w,v)* equal(x,w)* equal(x,v)* equal(x,u)* equal(y,u)* equal(y,v)* equal(y,w)* equal(y,x)*.
% 0.42/0.58 45[1:Res:38.0,7.0] || -> cA(skc12)*.
% 0.42/0.58 46[1:Res:39.0,7.0] || -> cA(skc13)*.
% 0.42/0.58 47[1:Res:35.0,8.0] || -> cB(skc14)*.
% 0.42/0.58 48[1:Res:36.0,8.0] || -> cB(skc15)*.
% 0.42/0.58 49[1:Res:37.0,8.0] || -> cB(skc16)*.
% 0.42/0.58 50[1:Res:38.0,11.0] || -> rr(skc11,skc12)*.
% 0.42/0.58 51[1:Res:39.0,11.0] || -> rr(skc11,skc13)*.
% 0.42/0.58 52[1:Res:35.0,10.0] || -> rr(skc11,skc14)*.
% 0.42/0.58 53[1:Res:36.0,10.0] || -> rr(skc11,skc15)*.
% 0.42/0.58 54[1:Res:37.0,10.0] || -> rr(skc11,skc16)*.
% 0.42/0.58 59[1:Res:54.0,44.0] || rr(skc11,u)*+ rr(skc11,v)* rr(skc11,w)* rr(skc11,x)* -> equal(u,skc16) equal(v,skc16) equal(v,u)* equal(w,v)* equal(w,u)* equal(w,skc16) equal(x,skc16) equal(x,u)* equal(x,v)* equal(x,w)*.
% 0.42/0.58 63[1:Res:53.0,59.0] || rr(skc11,u)* rr(skc11,v)* rr(skc11,w)* -> equal(skc16,skc15) equal(u,skc16) equal(u,skc15) equal(v,u)* equal(v,skc15) equal(v,skc16) equal(w,skc16) equal(w,skc15) equal(w,u)* equal(w,v)*.
% 0.42/0.58 65[1:MRR:63.3,42.0] || rr(skc11,u)*+ rr(skc11,v)* rr(skc11,w)* -> equal(u,skc16) equal(u,skc15) equal(v,u)* equal(v,skc15) equal(v,skc16) equal(w,skc16) equal(w,skc15) equal(w,u)* equal(w,v)*.
% 0.42/0.58 69[1:Res:52.0,65.0] || rr(skc11,u)* rr(skc11,v)* -> equal(skc16,skc14) equal(skc15,skc14) equal(u,skc14) equal(u,skc15) equal(u,skc16) equal(v,skc16) equal(v,skc15) equal(v,skc14) equal(v,u)*.
% 0.42/0.58 72[1:MRR:69.2,69.3,41.0,40.0] || rr(skc11,u)* rr(skc11,v)* -> equal(u,skc14) equal(u,skc15) equal(u,skc16) equal(v,skc16) equal(v,skc15) equal(v,skc14) equal(v,u)*.
% 0.42/0.58 74[1:Res:51.0,72.0] || rr(skc11,u)*+ -> equal(skc14,skc13) equal(skc15,skc13) equal(skc16,skc13) equal(u,skc16) equal(u,skc15) equal(u,skc14) equal(u,skc13).
% 0.42/0.58 78[2:Spt:74.3] || -> equal(skc16,skc13)**.
% 0.42/0.58 82[2:Rew:78.0,49.0] || -> cB(skc13)*.
% 0.42/0.58 102[2:EmS:9.0,9.1,46.0,82.0] || -> .
% 0.42/0.58 103[2:Spt:102.0,74.3,78.0] || equal(skc16,skc13)**+ -> .
% 0.42/0.58 104[2:Spt:102.0,74.0,74.1,74.2,74.4,74.5,74.6,74.7] || rr(skc11,u)*+ -> equal(skc14,skc13) equal(skc15,skc13) equal(u,skc16) equal(u,skc15) equal(u,skc14) equal(u,skc13).
% 0.42/0.58 107[3:Spt:104.2] || -> equal(skc15,skc13)**.
% 0.42/0.58 110[3:Rew:107.0,48.0] || -> cB(skc13)*.
% 0.42/0.58 128[3:EmS:9.0,9.1,46.0,110.0] || -> .
% 0.42/0.58 129[3:Spt:128.0,104.2,107.0] || equal(skc15,skc13)**+ -> .
% 0.42/0.58 130[3:Spt:128.0,104.0,104.1,104.3,104.4,104.5,104.6] || rr(skc11,u)*+ -> equal(skc14,skc13) equal(u,skc16) equal(u,skc15) equal(u,skc14) equal(u,skc13).
% 0.42/0.58 132[4:Spt:130.1] || -> equal(skc14,skc13)**.
% 0.42/0.58 134[4:Rew:132.0,47.0] || -> cB(skc13)*.
% 0.42/0.58 148[4:EmS:9.0,9.1,46.0,134.0] || -> .
% 0.42/0.58 149[4:Spt:148.0,130.1,132.0] || equal(skc14,skc13)**+ -> .
% 0.42/0.58 150[4:Spt:148.0,130.0,130.2,130.3,130.4,130.5] || rr(skc11,u)* -> equal(u,skc16) equal(u,skc15) equal(u,skc14) equal(u,skc13).
% 0.42/0.58 151[4:Res:50.0,150.0] || -> equal(skc16,skc12)** equal(skc15,skc12) equal(skc14,skc12) equal(skc13,skc12).
% 0.42/0.58 153[4:MRR:151.3,43.0] || -> equal(skc16,skc12)** equal(skc15,skc12) equal(skc14,skc12).
% 0.42/0.58 164[5:Spt:153.0] || -> equal(skc16,skc12)**.
% 0.42/0.58 166[5:Rew:164.0,49.0] || -> cB(skc12)*.
% 0.42/0.58 185[5:EmS:9.0,9.1,45.0,166.0] || -> .
% 0.42/0.58 186[5:Spt:185.0,153.0,164.0] || equal(skc16,skc12)** -> .
% 0.42/0.58 187[5:Spt:185.0,153.1,153.2] || -> equal(skc15,skc12)** equal(skc14,skc12).
% 0.42/0.58 190[6:Spt:187.0] || -> equal(skc15,skc12)**.
% 0.42/0.58 191[6:Rew:190.0,48.0] || -> cB(skc12)*.
% 0.42/0.58 209[6:EmS:9.0,9.1,45.0,191.0] || -> .
% 0.42/0.58 210[6:Spt:209.0,187.0,190.0] || equal(skc15,skc12)** -> .
% 0.42/0.58 211[6:Spt:209.0,187.1] || -> equal(skc14,skc12)**.
% 0.42/0.58 212[6:Rew:211.0,47.0] || -> cB(skc12)*.
% 0.42/0.58 225[6:EmS:9.0,9.1,45.0,212.0] || -> .
% 0.42/0.58 226[1:Spt:225.0,22.0,34.0] || SkC0*+ -> .
% 0.42/0.58 227[1:Spt:225.0,22.1] || -> xsd_integer(skc17)*.
% 0.42/0.58 228[1:MRR:23.0,226.0] || -> xsd_string(skc17)*.
% 0.42/0.58 230[1:EmS:6.0,6.1,227.0,228.0] || -> .
% 0.42/0.58 % SZS output end Refutation
% 0.42/0.58 Formulae used in the proof : axiom_0 axiom_1 the_axiom axiom_2 axiom_3 axiom_4 axiom_5 axiom_6
% 0.42/0.58
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