TSTP Solution File: SWC276-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC276-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 22:03:00 EDT 2022
% Result : Unsatisfiable 1.83s 2.03s
% Output : Refutation 1.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC276-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 11 21:32:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.83/2.03
% 1.83/2.03 SPASS V 3.9
% 1.83/2.03 SPASS beiseite: Proof found.
% 1.83/2.03 % SZS status Theorem
% 1.83/2.03 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.83/2.03 SPASS derived 2663 clauses, backtracked 2743 clauses, performed 59 splits and kept 4698 clauses.
% 1.83/2.03 SPASS allocated 78207 KBytes.
% 1.83/2.03 SPASS spent 0:00:01.64 on the problem.
% 1.83/2.03 0:00:00.04 for the input.
% 1.83/2.03 0:00:00.00 for the FLOTTER CNF translation.
% 1.83/2.03 0:00:00.00 for inferences.
% 1.83/2.03 0:00:00.03 for the backtracking.
% 1.83/2.03 0:00:01.39 for the reduction.
% 1.83/2.03
% 1.83/2.03
% 1.83/2.03 Here is a proof with depth 2, length 58 :
% 1.83/2.03 % SZS output start Refutation
% 1.83/2.03 1[0:Inp] || -> ssList(sk1)*.
% 1.83/2.03 2[0:Inp] || -> ssList(sk2)*.
% 1.83/2.03 6[0:Inp] || -> equal(sk3,sk1)**.
% 1.83/2.03 7[0:Inp] || totalorderedP(sk1)* -> .
% 1.83/2.03 9[0:Inp] || -> ssItem(sk5)* equal(nil,sk3).
% 1.83/2.03 12[0:Inp] || -> equal(cons(sk5,nil),sk3)** equal(nil,sk3).
% 1.83/2.03 17[0:Inp] || -> totalorderedP(nil)*.
% 1.83/2.03 80[0:Inp] ssItem(u) || -> totalorderedP(cons(u,nil))*.
% 1.83/2.03 85[0:Inp] ssList(u) || -> ssItem(v)* duplicatefreeP(u)*.
% 1.83/2.03 190[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).
% 1.83/2.03 201[0:Rew:6.0,9.1] || -> ssItem(sk5)* equal(nil,sk1).
% 1.83/2.03 205[0:Rew:6.0,12.1,6.0,12.0] || -> equal(nil,sk1) equal(cons(sk5,nil),sk1)**.
% 1.83/2.03 292[0:Res:2.0,85.0] || -> ssItem(u)* duplicatefreeP(sk2)*.
% 1.83/2.03 463[0:Res:1.0,85.0] || -> ssItem(u)* duplicatefreeP(sk1)*.
% 1.83/2.03 478[0:Res:1.0,190.1] ssList(u) || equal(hd(u),hd(sk1))* equal(tl(u),tl(sk1)) -> equal(u,sk1) equal(nil,u) equal(nil,sk1).
% 1.83/2.03 560[1:Spt:85.1] || -> ssItem(u)*.
% 1.83/2.03 569[1:MRR:80.0,560.0] || -> totalorderedP(cons(u,nil))*.
% 1.83/2.03 763[2:Spt:478.5] || -> equal(nil,sk1)**.
% 1.83/2.03 825[2:Rew:763.0,17.0] || -> totalorderedP(sk1)*.
% 1.83/2.03 868[2:MRR:825.0,7.0] || -> .
% 1.83/2.03 1175[2:Spt:868.0,478.5,763.0] || equal(nil,sk1)** -> .
% 1.83/2.03 1176[2:Spt:868.0,478.0,478.1,478.2,478.3,478.4] ssList(u) || equal(hd(u),hd(sk1))* equal(tl(u),tl(sk1)) -> equal(u,sk1) equal(nil,u).
% 1.83/2.03 1182[2:MRR:205.0,1175.0] || -> equal(cons(sk5,nil),sk1)**.
% 1.83/2.03 1402[2:SpR:1182.0,569.0] || -> totalorderedP(sk1)*.
% 1.83/2.03 1407[2:MRR:1402.0,7.0] || -> .
% 1.83/2.03 1410[1:Spt:1407.0,85.0,85.2] ssList(u) || -> duplicatefreeP(u)*.
% 1.83/2.03 1426[2:Spt:463.0] || -> ssItem(u)*.
% 1.83/2.03 1433[2:MRR:80.0,1426.0] || -> totalorderedP(cons(u,nil))*.
% 1.83/2.03 1623[3:Spt:478.5] || -> equal(nil,sk1)**.
% 1.83/2.03 1628[3:Rew:1623.0,17.0] || -> totalorderedP(sk1)*.
% 1.83/2.03 1728[3:MRR:1628.0,7.0] || -> .
% 1.83/2.03 2036[3:Spt:1728.0,478.5,1623.0] || equal(nil,sk1)** -> .
% 1.83/2.03 2037[3:Spt:1728.0,478.0,478.1,478.2,478.3,478.4] ssList(u) || equal(hd(u),hd(sk1))* equal(tl(u),tl(sk1)) -> equal(u,sk1) equal(nil,u).
% 1.83/2.03 2043[3:MRR:205.0,2036.0] || -> equal(cons(sk5,nil),sk1)**.
% 1.83/2.03 2261[3:SpR:2043.0,1433.0] || -> totalorderedP(sk1)*.
% 1.83/2.03 2267[3:MRR:2261.0,7.0] || -> .
% 1.83/2.03 2268[2:Spt:2267.0,463.1] || -> duplicatefreeP(sk1)*.
% 1.83/2.03 2271[3:Spt:292.0] || -> ssItem(u)*.
% 1.83/2.03 2280[3:MRR:80.0,2271.0] || -> totalorderedP(cons(u,nil))*.
% 1.83/2.03 2466[4:Spt:478.5] || -> equal(nil,sk1)**.
% 1.83/2.03 2471[4:Rew:2466.0,17.0] || -> totalorderedP(sk1)*.
% 1.83/2.03 2571[4:MRR:2471.0,7.0] || -> .
% 1.83/2.03 2878[4:Spt:2571.0,478.5,2466.0] || equal(nil,sk1)** -> .
% 1.83/2.03 2879[4:Spt:2571.0,478.0,478.1,478.2,478.3,478.4] ssList(u) || equal(hd(u),hd(sk1))* equal(tl(u),tl(sk1)) -> equal(u,sk1) equal(nil,u).
% 1.83/2.03 2885[4:MRR:205.0,2878.0] || -> equal(cons(sk5,nil),sk1)**.
% 1.83/2.03 3103[4:SpR:2885.0,2280.0] || -> totalorderedP(sk1)*.
% 1.83/2.03 3108[4:MRR:3103.0,7.0] || -> .
% 1.83/2.03 3110[3:Spt:3108.0,292.1] || -> duplicatefreeP(sk2)*.
% 1.83/2.03 3111[4:Spt:478.5] || -> equal(nil,sk1)**.
% 1.83/2.03 3116[4:Rew:3111.0,17.0] || -> totalorderedP(sk1)*.
% 1.83/2.03 3218[4:MRR:3116.0,7.0] || -> .
% 1.83/2.03 3309[4:Spt:3218.0,478.5,3111.0] || equal(nil,sk1)** -> .
% 1.83/2.03 3310[4:Spt:3218.0,478.0,478.1,478.2,478.3,478.4] ssList(u) || equal(hd(u),hd(sk1))* equal(tl(u),tl(sk1)) -> equal(u,sk1) equal(nil,u).
% 1.83/2.03 3311[4:MRR:201.1,3309.0] || -> ssItem(sk5)*.
% 1.83/2.03 3318[4:MRR:205.0,3309.0] || -> equal(cons(sk5,nil),sk1)**.
% 1.83/2.03 3565[4:SpR:3318.0,80.1] ssItem(sk5) || -> totalorderedP(sk1)*.
% 1.83/2.03 3566[4:SSi:3565.0,3311.0] || -> totalorderedP(sk1)*.
% 1.83/2.03 3567[4:MRR:3566.0,7.0] || -> .
% 1.83/2.03 % SZS output end Refutation
% 1.83/2.03 Formulae used in the proof : co1_1 co1_2 co1_6 co1_7 co1_9 co1_12 clause4 clause67 clause72 clause177
% 1.83/2.03
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