%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n018.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 22:03:05 EDT 2022 % Result : Theorem 0.97s 1.15s % Output : Refutation 0.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0. % 0.03/0.13 % Command : run_spass %d %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jun 12 03:07:26 EDT 2022 % 0.13/0.35 % CPUTime : % 0.97/1.15 % 0.97/1.15 SPASS V 3.9 % 0.97/1.15 SPASS beiseite: Proof found. % 0.97/1.15 % SZS status Theorem % 0.97/1.15 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.97/1.15 SPASS derived 1356 clauses, backtracked 783 clauses, performed 24 splits and kept 1823 clauses. % 0.97/1.15 SPASS allocated 99263 KBytes. % 0.97/1.15 SPASS spent 0:00:00.78 on the problem. % 0.97/1.15 0:00:00.04 for the input. % 0.97/1.15 0:00:00.07 for the FLOTTER CNF translation. % 0.97/1.15 0:00:00.01 for inferences. % 0.97/1.15 0:00:00.01 for the backtracking. % 0.97/1.15 0:00:00.48 for the reduction. % 0.97/1.15 % 0.97/1.15 % 0.97/1.15 Here is a proof with depth 2, length 38 : % 0.97/1.15 % SZS output start Refutation % 0.97/1.15 1[0:Inp] || -> ssList(skc5)*. % 0.97/1.15 2[0:Inp] || -> ssList(skc4)*. % 0.97/1.15 10[0:Inp] || -> strictorderedP(nil)*. % 0.97/1.15 13[0:Inp] || strictorderedP(skc4)* -> . % 0.97/1.15 54[0:Inp] || -> ssItem(skf46(u,v))*. % 0.97/1.15 70[0:Inp] || SkP0(skc5,skc4)* -> equal(nil,skc5). % 0.97/1.15 71[0:Inp] || SkP0(skc5,skc4)* -> equal(nil,skc4). % 0.97/1.15 77[0:Inp] ssItem(u) || -> strictorderedP(cons(u,nil))*. % 0.97/1.15 87[0:Inp] || -> SkP0(u,v) equal(cons(skf46(u,v),nil),v)**. % 0.97/1.15 190[0:Inp] ssList(u) ssList(v) || equal(tl(u),tl(v))* equal(hd(u),hd(v)) -> equal(u,v) equal(nil,v) equal(nil,u). % 0.97/1.15 199[0:Rew:71.1,70.1] || SkP0(skc5,skc4)* -> equal(skc5,skc4). % 0.97/1.15 288[0:Res:2.0,190.1] ssList(u) || equal(tl(skc4),tl(u))* equal(hd(skc4),hd(u)) -> equal(nil,u) equal(skc4,u) equal(nil,skc4). % 0.97/1.15 459[0:Res:1.0,190.1] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u) equal(nil,skc5). % 0.97/1.15 562[1:Spt:459.5] || -> equal(nil,skc5)**. % 0.97/1.15 565[1:Rew:562.0,77.1] ssItem(u) || -> strictorderedP(cons(u,skc5))*. % 0.97/1.15 636[1:Rew:562.0,10.0] || -> strictorderedP(skc5)*. % 0.97/1.15 663[1:Rew:562.0,87.1] || -> SkP0(u,v) equal(cons(skf46(u,v),skc5),v)**. % 0.97/1.15 762[2:Spt:199.1] || -> equal(skc5,skc4)**. % 0.97/1.15 865[2:Rew:762.0,636.0] || -> strictorderedP(skc4)*. % 0.97/1.15 914[2:MRR:865.0,13.0] || -> . % 0.97/1.15 1012[2:Spt:914.0,199.1,762.0] || equal(skc5,skc4)** -> . % 0.97/1.15 1013[2:Spt:914.0,199.0] || SkP0(skc5,skc4)* -> . % 0.97/1.15 1483[1:SpR:663.1,565.1] ssItem(skf46(u,v)) || -> SkP0(u,v)* strictorderedP(v). % 0.97/1.15 1496[1:SSi:1483.0,54.0] || -> SkP0(u,v)* strictorderedP(v). % 0.97/1.15 1509[2:Res:1496.0,1013.0] || -> strictorderedP(skc4)*. % 0.97/1.15 1510[2:MRR:1509.0,13.0] || -> . % 0.97/1.15 1511[1:Spt:1510.0,459.5,562.0] || equal(nil,skc5)** -> . % 0.97/1.15 1512[1:Spt:1510.0,459.0,459.1,459.2,459.3,459.4] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u). % 0.97/1.15 1536[2:Spt:288.5] || -> equal(nil,skc4)**. % 0.97/1.15 1543[2:Rew:1536.0,10.0] || -> strictorderedP(skc4)*. % 0.97/1.15 1629[2:MRR:1543.0,13.0] || -> . % 0.97/1.15 1708[2:Spt:1629.0,288.5,1536.0] || equal(nil,skc4)** -> . % 0.97/1.15 1709[2:Spt:1629.0,288.0,288.1,288.2,288.3,288.4] ssList(u) || equal(tl(skc4),tl(u))* equal(hd(skc4),hd(u)) -> equal(nil,u) equal(skc4,u). % 0.97/1.15 1715[2:MRR:71.1,1708.0] || SkP0(skc5,skc4)* -> . % 0.97/1.15 1830[0:SpR:87.1,77.1] ssItem(skf46(u,v)) || -> SkP0(u,v)* strictorderedP(v). % 0.97/1.15 1838[0:SSi:1830.0,54.0] || -> SkP0(u,v)* strictorderedP(v). % 0.97/1.15 1847[2:Res:1838.0,1715.0] || -> strictorderedP(skc4)*. % 0.97/1.15 1848[2:MRR:1847.0,13.0] || -> . % 0.97/1.15 % SZS output end Refutation % 0.97/1.15 Formulae used in the proof : co1 ax2 ax17 ax69 ax68 ax77 % 0.97/1.15 %------------------------------------------------------------------------------