%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWC028+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n028.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 22:01:12 EDT 2022 % Result : Theorem 1.08s 1.28s % Output : Refutation 1.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWC028+1 : TPTP v8.1.0. Released v2.4.0. % 0.07/0.13 % Command : run_spass %d %s % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 600 % 0.15/0.34 % DateTime : Sun Jun 12 06:32:36 EDT 2022 % 0.15/0.35 % CPUTime : % 1.08/1.28 % 1.08/1.28 SPASS V 3.9 % 1.08/1.28 SPASS beiseite: Proof found. % 1.08/1.28 % SZS status Theorem % 1.08/1.28 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 1.08/1.28 SPASS derived 1691 clauses, backtracked 895 clauses, performed 35 splits and kept 1929 clauses. % 1.08/1.28 SPASS allocated 99855 KBytes. % 1.08/1.28 SPASS spent 0:00:00.90 on the problem. % 1.08/1.28 0:00:00.04 for the input. % 1.08/1.28 0:00:00.07 for the FLOTTER CNF translation. % 1.08/1.28 0:00:00.01 for inferences. % 1.08/1.28 0:00:00.01 for the backtracking. % 1.08/1.28 0:00:00.61 for the reduction. % 1.08/1.28 % 1.08/1.28 % 1.08/1.28 Here is a proof with depth 6, length 90 : % 1.08/1.28 % SZS output start Refutation % 1.08/1.28 1[0:Inp] || -> ssList(skc5)*. % 1.08/1.28 2[0:Inp] || -> ssList(skc4)*. % 1.08/1.28 3[0:Inp] || -> ssItem(skc7)*. % 1.08/1.28 4[0:Inp] || -> ssItem(skc6)*. % 1.08/1.28 5[0:Inp] || -> ssList(nil)*. % 1.08/1.28 6[0:Inp] || -> cyclefreeP(nil)*. % 1.08/1.28 7[0:Inp] || -> totalorderP(nil)*. % 1.08/1.28 8[0:Inp] || -> strictorderP(nil)*. % 1.08/1.28 9[0:Inp] || -> totalorderedP(nil)*. % 1.08/1.28 10[0:Inp] || -> strictorderedP(nil)*. % 1.08/1.28 11[0:Inp] || -> duplicatefreeP(nil)*. % 1.08/1.28 12[0:Inp] || -> equalelemsP(nil)*. % 1.08/1.28 51[0:Inp] || equal(skc7,skc6)** -> . % 1.08/1.28 58[0:Inp] || -> SkP0(u,v)* equal(nil,v). % 1.08/1.28 59[0:Inp] || -> SkP1(u,v)* equal(nil,v). % 1.08/1.28 60[0:Inp] || -> SkP1(u,v)* equal(nil,u). % 1.08/1.28 69[0:Inp] || SkP1(skc4,skc5) -> neq(skc4,nil)*. % 1.08/1.28 70[0:Inp] || SkP1(skc4,skc5) -> rearsegP(skc5,skc4)*. % 1.08/1.28 71[0:Inp] || equal(nil,u) -> SkP0(u,v)*. % 1.08/1.28 73[0:Inp] ssItem(u) || -> cyclefreeP(cons(u,nil))*. % 1.08/1.28 74[0:Inp] ssItem(u) || -> totalorderP(cons(u,nil))*. % 1.08/1.28 75[0:Inp] ssItem(u) || -> strictorderP(cons(u,nil))*. % 1.08/1.28 76[0:Inp] ssItem(u) || -> totalorderedP(cons(u,nil))*. % 1.08/1.28 77[0:Inp] ssItem(u) || -> strictorderedP(cons(u,nil))*. % 1.08/1.28 78[0:Inp] ssItem(u) || -> duplicatefreeP(cons(u,nil))*. % 1.08/1.28 79[0:Inp] ssItem(u) || -> equalelemsP(cons(u,nil))*. % 1.08/1.28 81[0:Inp] || SkP0(skc5,skc4)* SkP0(skc4,skc5) -> . % 1.08/1.28 82[0:Inp] ssList(u) || -> equal(app(nil,u),u)**. % 1.08/1.28 91[0:Inp] ssItem(u) ssList(v) || -> ssList(cons(u,v))*. % 1.08/1.28 95[0:Inp] ssList(u) || rearsegP(nil,u)* -> equal(nil,u). % 1.08/1.28 111[0:Inp] ssItem(u) ssList(v) || -> equal(hd(cons(u,v)),u)**. % 1.08/1.28 122[0:Inp] ssList(u) ssList(v) || equal(v,u) neq(v,u)* -> . % 1.08/1.28 133[0:Inp] ssList(u) ssList(v) || -> equal(nil,v) equal(hd(app(v,u)),hd(v))**. % 1.08/1.28 154[0:Inp] ssList(u) ssList(v) || -> equal(nil,v) equal(app(tl(v),u),tl(app(v,u)))**. % 1.08/1.28 187[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). % 1.08/1.28 243[0:Res:2.0,133.0] ssList(u) || -> equal(skc4,nil) equal(hd(app(skc4,u)),hd(skc4))**. % 1.08/1.28 254[0:Res:2.0,111.0] ssItem(u) || -> equal(hd(cons(u,skc4)),u)**. % 1.08/1.28 266[0:Res:2.0,91.0] ssItem(u) || -> ssList(cons(u,skc4))*. % 1.08/1.28 270[0:Res:2.0,95.0] || rearsegP(nil,skc4)* -> equal(skc4,nil). % 1.08/1.28 284[0:Res:2.0,187.1] ssList(u) || equal(tl(skc4),tl(u))* equal(hd(skc4),hd(u)) -> equal(nil,u) equal(skc4,u) equal(skc4,nil). % 1.08/1.28 320[0:Res:2.0,122.1] ssList(u) || equal(u,skc4) neq(u,skc4)* -> . % 1.08/1.28 408[0:Res:1.0,154.0] ssList(u) || -> equal(skc5,nil) equal(app(tl(skc5),u),tl(app(skc5,u)))**. % 1.08/1.28 455[0:Res:1.0,187.1] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u) equal(skc5,nil). % 1.08/1.28 545[1:Spt:243.0,243.2] ssList(u) || -> equal(hd(app(skc4,u)),hd(skc4))**. % 1.08/1.28 551[2:Spt:284.5] || -> equal(skc4,nil)**. % 1.08/1.28 552[2:Rew:551.0,545.1] ssList(u) || -> equal(hd(app(nil,u)),hd(nil))**. % 1.08/1.28 570[2:Rew:551.0,266.1] ssItem(u) || -> ssList(cons(u,nil))*. % 1.08/1.28 571[2:Rew:551.0,254.1] ssItem(u) || -> equal(hd(cons(u,nil)),u)**. % 1.08/1.28 727[2:Rew:82.1,552.1] ssList(u) || -> equal(hd(u),hd(nil))*. % 1.08/1.28 1147[2:SpR:571.1,727.1] ssItem(u) ssList(cons(u,nil)) || -> equal(u,hd(nil))*. % 1.08/1.28 1150[2:SSi:1147.1,79.1,78.1,75.1,74.1,73.1,77.1,76.1,570.1] ssItem(u) || -> equal(u,hd(nil))*. % 1.08/1.28 1238[2:SpR:1150.1,1150.1] ssItem(u) ssItem(v) || -> equal(v,u)*. % 1.08/1.28 1333[2:EmS:1238.0,3.0] ssItem(u) || -> equal(u,skc7)*. % 1.08/1.28 1355[2:EmS:1333.0,4.0] || -> equal(skc7,skc6)**. % 1.08/1.28 1356[2:MRR:1355.0,51.0] || -> . % 1.08/1.28 1552[2:Spt:1356.0,284.5,551.0] || equal(skc4,nil)** -> . % 1.08/1.28 1553[2:Spt:1356.0,284.0,284.1,284.2,284.3,284.4] ssList(u) || equal(tl(skc4),tl(u))* equal(hd(skc4),hd(u)) -> equal(nil,u) equal(skc4,u). % 1.08/1.28 1557[2:MRR:270.1,1552.0] || rearsegP(nil,skc4)* -> . % 1.08/1.28 1572[3:Spt:455.5] || -> equal(skc5,nil)**. % 1.08/1.28 1704[3:Rew:1572.0,70.0] || SkP1(skc4,nil) -> rearsegP(skc5,skc4)*. % 1.08/1.28 1735[3:Rew:1572.0,1704.1] || SkP1(skc4,nil) -> rearsegP(nil,skc4)*. % 1.08/1.28 1736[3:MRR:1735.1,1557.0] || SkP1(skc4,nil)* -> . % 1.08/1.28 1850[3:Res:60.0,1736.0] || -> equal(skc4,nil)**. % 1.08/1.28 1851[3:MRR:1850.0,1552.0] || -> . % 1.08/1.28 1852[3:Spt:1851.0,455.5,1572.0] || equal(skc5,nil)** -> . % 1.08/1.28 1853[3:Spt:1851.0,455.0,455.1,455.2,455.3,455.4] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u). % 1.08/1.28 1905[0:Res:71.1,81.0] || equal(skc5,nil) SkP0(skc4,skc5)* -> . % 1.08/1.28 1906[0:Res:58.0,81.0] || SkP0(skc4,skc5)* -> equal(skc4,nil). % 1.08/1.28 1907[2:MRR:1906.1,1552.0] || SkP0(skc4,skc5)* -> . % 1.08/1.28 1909[2:Res:58.0,1907.0] || -> equal(skc5,nil)**. % 1.08/1.28 1910[3:MRR:1909.0,1852.0] || -> . % 1.08/1.28 1911[1:Spt:1910.0,243.1] || -> equal(skc4,nil)**. % 1.08/1.28 1919[1:Rew:1911.0,69.0] || SkP1(nil,skc5) -> neq(skc4,nil)*. % 1.08/1.28 1955[1:Rew:1911.0,320.2] ssList(u) || equal(u,skc4) neq(u,nil)* -> . % 1.08/1.28 2041[1:Rew:1911.0,1919.1] || SkP1(nil,skc5) -> neq(nil,nil)*. % 1.08/1.28 2051[1:Rew:1911.0,1905.1] || equal(skc5,nil) SkP0(nil,skc5)* -> . % 1.08/1.28 2061[1:Rew:1911.0,1955.1] ssList(u) || equal(u,nil) neq(u,nil)* -> . % 1.08/1.28 2160[2:Spt:408.1] || -> equal(skc5,nil)**. % 1.08/1.28 2294[2:Rew:2160.0,2051.0] || equal(nil,nil) SkP0(nil,skc5)* -> . % 1.08/1.28 2322[2:Obv:2294.0] || SkP0(nil,skc5)* -> . % 1.08/1.28 2323[2:Rew:2160.0,2322.0] || SkP0(nil,nil)* -> . % 1.08/1.28 2408[2:Res:71.1,2323.0] || equal(nil,nil)* -> . % 1.08/1.28 2410[2:Obv:2408.0] || -> . % 1.08/1.28 2411[2:Spt:2410.0,408.1,2160.0] || equal(skc5,nil)** -> . % 1.08/1.28 2412[2:Spt:2410.0,408.0,408.2] ssList(u) || -> equal(app(tl(skc5),u),tl(app(skc5,u)))**. % 1.08/1.28 2544[1:Res:2041.1,2061.2] ssList(nil) || SkP1(nil,skc5)* equal(nil,nil) -> . % 1.08/1.28 2548[1:Obv:2544.2] ssList(nil) || SkP1(nil,skc5)* -> . % 1.08/1.28 2549[1:SSi:2548.0,12.0,11.0,8.0,7.0,6.0,10.0,9.0,5.0] || SkP1(nil,skc5)* -> . % 1.08/1.28 2550[1:Res:59.0,2549.0] || -> equal(skc5,nil)**. % 1.08/1.28 2552[2:MRR:2550.0,2411.0] || -> . % 1.08/1.28 % SZS output end Refutation % 1.08/1.28 Formulae used in the proof : co1 ax2 ax17 ax60 ax62 ax64 ax66 ax69 ax72 ax74 ax59 ax61 ax63 ax65 ax68 ax71 ax73 ax28 ax16 ax52 ax23 ax15 ax85 ax86 ax77 % 1.08/1.28 %------------------------------------------------------------------------------