TSTP Solution File: SWC001+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC001+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 22:01:00 EDT 2022
% Result : Theorem 0.83s 1.00s
% Output : Refutation 0.83s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC001+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n009.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 08:29:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.83/1.00
% 0.83/1.00 SPASS V 3.9
% 0.83/1.00 SPASS beiseite: Proof found.
% 0.83/1.00 % SZS status Theorem
% 0.83/1.00 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.00 SPASS derived 945 clauses, backtracked 594 clauses, performed 31 splits and kept 1342 clauses.
% 0.83/1.00 SPASS allocated 99140 KBytes.
% 0.83/1.00 SPASS spent 0:00:00.66 on the problem.
% 0.83/1.00 0:00:00.04 for the input.
% 0.83/1.00 0:00:00.07 for the FLOTTER CNF translation.
% 0.83/1.00 0:00:00.00 for inferences.
% 0.83/1.00 0:00:00.01 for the backtracking.
% 0.83/1.00 0:00:00.39 for the reduction.
% 0.83/1.00
% 0.83/1.00
% 0.83/1.00 Here is a proof with depth 2, length 61 :
% 0.83/1.00 % SZS output start Refutation
% 0.83/1.00 1[0:Inp] || -> ssItem(skc7)*.
% 0.83/1.00 2[0:Inp] || -> ssList(skc6)*.
% 0.83/1.00 3[0:Inp] || -> ssList(skc5)*.
% 0.83/1.00 4[0:Inp] || -> duplicatefreeP(skc5)*.
% 0.83/1.00 68[0:Inp] ssItem(u) || memberP(nil,u)* -> .
% 0.83/1.00 79[0:Inp] || duplicatefreeP(skc5) -> memberP(skc6,skc7)* memberP(skc5,skc7).
% 0.83/1.00 84[0:Inp] ssItem(u) || memberP(skc5,u) -> memberP(skc6,u)*.
% 0.83/1.00 85[0:Inp] ssItem(u) || memberP(skc6,u)* -> memberP(skc5,u).
% 0.83/1.00 97[0:Inp] || memberP(skc6,skc7)* memberP(skc5,skc7) duplicatefreeP(skc5) -> .
% 0.83/1.00 151[0:Inp] ssList(u) ssItem(v) || totalorderedP(cons(v,u))* -> leq(v,hd(u)) equal(nil,u).
% 0.83/1.00 152[0:Inp] ssList(u) ssItem(v) || strictorderedP(cons(v,u))* -> lt(v,hd(u)) equal(nil,u).
% 0.83/1.00 195[0:MRR:79.0,4.0] || -> memberP(skc5,skc7) memberP(skc6,skc7)*.
% 0.83/1.00 196[0:MRR:97.2,4.0] || memberP(skc5,skc7) memberP(skc6,skc7)* -> .
% 0.83/1.00 308[0:Res:3.0,151.1] ssItem(u) || totalorderedP(cons(u,skc5))* -> leq(u,hd(skc5)) equal(skc5,nil).
% 0.83/1.00 309[0:Res:3.0,152.1] ssItem(u) || strictorderedP(cons(u,skc5))* -> lt(u,hd(skc5)) equal(skc5,nil).
% 0.83/1.00 480[0:Res:2.0,152.1] ssItem(u) || strictorderedP(cons(u,skc6))* -> lt(u,hd(skc6)) equal(skc6,nil).
% 0.83/1.00 554[1:Spt:480.3] || -> equal(skc6,nil)**.
% 0.83/1.00 557[1:Rew:554.0,196.1] || memberP(skc5,skc7)* memberP(nil,skc7) -> .
% 0.83/1.00 558[1:Rew:554.0,195.1] || -> memberP(skc5,skc7)* memberP(nil,skc7).
% 0.83/1.00 561[1:Rew:554.0,84.2] ssItem(u) || memberP(skc5,u)* -> memberP(nil,u).
% 0.83/1.00 729[1:MRR:561.2,68.1] ssItem(u) || memberP(skc5,u)* -> .
% 0.83/1.00 818[2:Spt:309.3] || -> equal(skc5,nil)**.
% 0.83/1.00 963[2:Rew:818.0,557.0] || memberP(nil,skc7)* memberP(nil,skc7)* -> .
% 0.83/1.00 964[2:Rew:818.0,558.0] || -> memberP(nil,skc7)* memberP(nil,skc7)*.
% 0.83/1.00 967[2:Obv:964.0] || -> memberP(nil,skc7)*.
% 0.83/1.00 985[2:Obv:963.0] || memberP(nil,skc7)* -> .
% 0.83/1.00 986[2:MRR:985.0,967.0] || -> .
% 0.83/1.00 1057[2:Spt:986.0,309.3,818.0] || equal(skc5,nil)** -> .
% 0.83/1.00 1058[2:Spt:986.0,309.0,309.1,309.2] ssItem(u) || strictorderedP(cons(u,skc5))* -> lt(u,hd(skc5)).
% 0.83/1.00 1084[3:Spt:558.0] || -> memberP(skc5,skc7)*.
% 0.83/1.00 1090[3:Res:1084.0,729.1] ssItem(skc7) || -> .
% 0.83/1.00 1091[3:SSi:1090.0,1.0] || -> .
% 0.83/1.00 1092[3:Spt:1091.0,558.0,1084.0] || memberP(skc5,skc7)* -> .
% 0.83/1.00 1093[3:Spt:1091.0,558.1] || -> memberP(nil,skc7)*.
% 0.83/1.00 1094[3:Res:1093.0,68.1] ssItem(skc7) || -> .
% 0.83/1.00 1095[3:SSi:1094.0,1.0] || -> .
% 0.83/1.00 1096[1:Spt:1095.0,480.3,554.0] || equal(skc6,nil)** -> .
% 0.83/1.00 1097[1:Spt:1095.0,480.0,480.1,480.2] ssItem(u) || strictorderedP(cons(u,skc6))* -> lt(u,hd(skc6)).
% 0.83/1.00 1111[2:Spt:308.3] || -> equal(skc5,nil)**.
% 0.83/1.00 1247[2:Rew:1111.0,195.0] || -> memberP(nil,skc7) memberP(skc6,skc7)*.
% 0.83/1.00 1264[2:Rew:1111.0,85.2] ssItem(u) || memberP(skc6,u)* -> memberP(nil,u).
% 0.83/1.00 1283[2:MRR:1264.2,68.1] ssItem(u) || memberP(skc6,u)* -> .
% 0.83/1.00 1379[3:Spt:1247.0] || -> memberP(nil,skc7)*.
% 0.83/1.00 1381[3:Res:1379.0,68.1] ssItem(skc7) || -> .
% 0.83/1.00 1382[3:SSi:1381.0,1.0] || -> .
% 0.83/1.00 1383[3:Spt:1382.0,1247.0,1379.0] || memberP(nil,skc7)* -> .
% 0.83/1.00 1384[3:Spt:1382.0,1247.1] || -> memberP(skc6,skc7)*.
% 0.83/1.00 1385[3:Res:1384.0,1283.1] ssItem(skc7) || -> .
% 0.83/1.00 1386[3:SSi:1385.0,1.0] || -> .
% 0.83/1.00 1387[2:Spt:1386.0,308.3,1111.0] || equal(skc5,nil)** -> .
% 0.83/1.00 1388[2:Spt:1386.0,308.0,308.1,308.2] ssItem(u) || totalorderedP(cons(u,skc5))* -> leq(u,hd(skc5)).
% 0.83/1.00 1424[3:Spt:195.0] || -> memberP(skc5,skc7)*.
% 0.83/1.00 1425[3:MRR:196.0,1424.0] || memberP(skc6,skc7)* -> .
% 0.83/1.00 1491[3:Res:84.2,1425.0] ssItem(skc7) || memberP(skc5,skc7)* -> .
% 0.83/1.00 1492[3:SSi:1491.0,1.0] || memberP(skc5,skc7)* -> .
% 0.83/1.00 1493[3:MRR:1492.0,1424.0] || -> .
% 0.83/1.00 1494[3:Spt:1493.0,195.0,1424.0] || memberP(skc5,skc7)* -> .
% 0.83/1.00 1495[3:Spt:1493.0,195.1] || -> memberP(skc6,skc7)*.
% 0.83/1.00 1496[3:Res:1495.0,85.1] ssItem(skc7) || -> memberP(skc5,skc7)*.
% 0.83/1.00 1497[3:SSi:1496.0,1.0] || -> memberP(skc5,skc7)*.
% 0.83/1.00 1498[3:MRR:1497.0,1494.0] || -> .
% 0.83/1.00 % SZS output end Refutation
% 0.83/1.00 Formulae used in the proof : co1 ax2 ax38 ax67 ax70
% 0.83/1.00
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