TSTP Solution File: SWC130-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC130-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 : Tue Jul 19 22:01:55 EDT 2022
% Result : Unsatisfiable 1.66s 1.83s
% Output : Refutation 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC130-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n016.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 : Sun Jun 12 04:08:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.66/1.83
% 1.66/1.83 SPASS V 3.9
% 1.66/1.83 SPASS beiseite: Proof found.
% 1.66/1.83 % SZS status Theorem
% 1.66/1.83 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.83 SPASS derived 2495 clauses, backtracked 2525 clauses, performed 71 splits and kept 4578 clauses.
% 1.66/1.83 SPASS allocated 77910 KBytes.
% 1.66/1.83 SPASS spent 0:00:01.47 on the problem.
% 1.66/1.83 0:00:00.04 for the input.
% 1.66/1.83 0:00:00.00 for the FLOTTER CNF translation.
% 1.66/1.83 0:00:00.01 for inferences.
% 1.66/1.83 0:00:00.02 for the backtracking.
% 1.66/1.83 0:00:01.22 for the reduction.
% 1.66/1.83
% 1.66/1.83
% 1.66/1.83 Here is a proof with depth 2, length 60 :
% 1.66/1.83 % SZS output start Refutation
% 1.66/1.83 1[0:Inp] || -> ssList(sk1)*.
% 1.66/1.83 2[0:Inp] || -> ssList(sk2)*.
% 1.66/1.83 5[0:Inp] || -> equal(sk4,sk2)**.
% 1.66/1.83 7[0:Inp] || neq(sk4,nil)* -> .
% 1.66/1.83 8[0:Inp] || cyclefreeP(sk2)* -> .
% 1.66/1.83 9[0:Inp] || -> equalelemsP(nil)*.
% 1.66/1.83 10[0:Inp] || -> duplicatefreeP(nil)*.
% 1.66/1.83 11[0:Inp] || -> strictorderedP(nil)*.
% 1.66/1.83 12[0:Inp] || -> totalorderedP(nil)*.
% 1.66/1.83 13[0:Inp] || -> strictorderP(nil)*.
% 1.66/1.83 14[0:Inp] || -> totalorderP(nil)*.
% 1.66/1.83 15[0:Inp] || -> cyclefreeP(nil)*.
% 1.66/1.83 16[0:Inp] || -> ssList(nil)*.
% 1.66/1.83 80[0:Inp] ssList(u) || -> ssItem(v)* duplicatefreeP(u)*.
% 1.66/1.83 108[0:Inp] ssList(u) ssList(v) || -> equal(u,v) neq(u,v)*.
% 1.66/1.83 110[0:Inp] ssItem(u) ssItem(v) || -> equal(u,v) neq(u,v)*.
% 1.66/1.83 185[0:Inp] ssList(u) ssList(v) || equal(hd(v),hd(u))* equal(tl(v),tl(u)) -> equal(v,u) equal(nil,v) equal(nil,u).
% 1.66/1.83 196[0:Rew:5.0,7.0] || neq(sk2,nil)* -> .
% 1.66/1.83 282[0:Res:2.0,80.0] || -> ssItem(u)* duplicatefreeP(sk2)*.
% 1.66/1.83 297[0:Res:2.0,185.1] ssList(u) || equal(hd(u),hd(sk2))* equal(tl(u),tl(sk2)) -> equal(u,sk2) equal(nil,u) equal(nil,sk2).
% 1.66/1.83 336[0:Res:2.0,108.1] ssList(u) || -> equal(sk2,u) neq(sk2,u)*.
% 1.66/1.83 453[0:Res:1.0,80.0] || -> ssItem(u)* duplicatefreeP(sk1)*.
% 1.66/1.83 550[1:Spt:80.1] || -> ssItem(u)*.
% 1.66/1.83 580[1:MRR:110.1,110.0,550.0] || -> equal(u,v) neq(u,v)*.
% 1.66/1.83 754[2:Spt:297.5] || -> equal(nil,sk2)**.
% 1.66/1.83 812[2:Rew:754.0,15.0] || -> cyclefreeP(sk2)*.
% 1.66/1.83 856[2:MRR:812.0,8.0] || -> .
% 1.66/1.83 952[2:Spt:856.0,297.5,754.0] || equal(nil,sk2)** -> .
% 1.66/1.83 953[2:Spt:856.0,297.0,297.1,297.2,297.3,297.4] ssList(u) || equal(hd(u),hd(sk2))* equal(tl(u),tl(sk2)) -> equal(u,sk2) equal(nil,u).
% 1.66/1.83 1209[1:Res:580.1,196.0] || -> equal(nil,sk2)**.
% 1.66/1.83 1210[2:MRR:1209.0,952.0] || -> .
% 1.66/1.83 1211[1:Spt:1210.0,80.0,80.2] ssList(u) || -> duplicatefreeP(u)*.
% 1.66/1.83 1227[2:Spt:453.0] || -> ssItem(u)*.
% 1.66/1.83 1255[2:MRR:110.1,110.0,1227.0] || -> equal(u,v) neq(u,v)*.
% 1.66/1.83 1425[3:Spt:297.5] || -> equal(nil,sk2)**.
% 1.66/1.83 1427[3:Rew:1425.0,15.0] || -> cyclefreeP(sk2)*.
% 1.66/1.83 1527[3:MRR:1427.0,8.0] || -> .
% 1.66/1.83 1622[3:Spt:1527.0,297.5,1425.0] || equal(nil,sk2)** -> .
% 1.66/1.83 1623[3:Spt:1527.0,297.0,297.1,297.2,297.3,297.4] ssList(u) || equal(hd(u),hd(sk2))* equal(tl(u),tl(sk2)) -> equal(u,sk2) equal(nil,u).
% 1.66/1.83 1876[2:Res:1255.1,196.0] || -> equal(nil,sk2)**.
% 1.66/1.83 1877[3:MRR:1876.0,1622.0] || -> .
% 1.66/1.83 1878[2:Spt:1877.0,453.1] || -> duplicatefreeP(sk1)*.
% 1.66/1.83 1881[3:Spt:282.0] || -> ssItem(u)*.
% 1.66/1.83 1911[3:MRR:110.1,110.0,1881.0] || -> equal(u,v) neq(u,v)*.
% 1.66/1.83 2077[4:Spt:297.5] || -> equal(nil,sk2)**.
% 1.66/1.83 2079[4:Rew:2077.0,15.0] || -> cyclefreeP(sk2)*.
% 1.66/1.83 2179[4:MRR:2079.0,8.0] || -> .
% 1.66/1.83 2274[4:Spt:2179.0,297.5,2077.0] || equal(nil,sk2)** -> .
% 1.66/1.83 2275[4:Spt:2179.0,297.0,297.1,297.2,297.3,297.4] ssList(u) || equal(hd(u),hd(sk2))* equal(tl(u),tl(sk2)) -> equal(u,sk2) equal(nil,u).
% 1.66/1.83 2523[3:Res:1911.1,196.0] || -> equal(nil,sk2)**.
% 1.66/1.83 2524[4:MRR:2523.0,2274.0] || -> .
% 1.66/1.83 2525[3:Spt:2524.0,282.1] || -> duplicatefreeP(sk2)*.
% 1.66/1.83 2526[4:Spt:297.5] || -> equal(nil,sk2)**.
% 1.66/1.83 2528[4:Rew:2526.0,15.0] || -> cyclefreeP(sk2)*.
% 1.66/1.83 2630[4:MRR:2528.0,8.0] || -> .
% 1.66/1.83 2724[4:Spt:2630.0,297.5,2526.0] || equal(nil,sk2)** -> .
% 1.66/1.83 2725[4:Spt:2630.0,297.0,297.1,297.2,297.3,297.4] ssList(u) || equal(hd(u),hd(sk2))* equal(tl(u),tl(sk2)) -> equal(u,sk2) equal(nil,u).
% 1.66/1.83 3217[0:Res:336.2,196.0] ssList(nil) || -> equal(nil,sk2)**.
% 1.66/1.83 3218[0:SSi:3217.0,16.0,15.0,14.0,13.0,12.0,11.0,10.0,9.0] || -> equal(nil,sk2)**.
% 1.66/1.83 3219[4:MRR:3218.0,2724.0] || -> .
% 1.66/1.83 % SZS output end Refutation
% 1.66/1.83 Formulae used in the proof : co1_1 co1_2 co1_5 co1_7 co1_8 clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause72 clause100 clause102 clause177
% 1.66/1.83
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