%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWC105+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n022.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 22:01:45 EDT 2022 % Result : Theorem 0.81s 1.02s % Output : Refutation 0.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWC105+1 : TPTP v8.1.0. Released v2.4.0. % 0.03/0.13 % Command : run_spass %d %s % 0.12/0.33 % Computer : n022.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 09:12:48 EDT 2022 % 0.12/0.34 % CPUTime : % 0.81/1.02 % 0.81/1.02 SPASS V 3.9 % 0.81/1.02 SPASS beiseite: Proof found. % 0.81/1.02 % SZS status Theorem % 0.81/1.02 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.81/1.02 SPASS derived 882 clauses, backtracked 577 clauses, performed 29 splits and kept 1323 clauses. % 0.81/1.02 SPASS allocated 99124 KBytes. % 0.81/1.02 SPASS spent 0:00:00.67 on the problem. % 0.81/1.02 0:00:00.04 for the input. % 0.81/1.02 0:00:00.07 for the FLOTTER CNF translation. % 0.81/1.02 0:00:00.00 for inferences. % 0.81/1.02 0:00:00.01 for the backtracking. % 0.81/1.02 0:00:00.39 for the reduction. % 0.81/1.02 % 0.81/1.02 % 0.81/1.02 Here is a proof with depth 2, length 62 : % 0.81/1.02 % SZS output start Refutation % 0.81/1.02 1[0:Inp] || -> ssList(skc5)*. % 0.81/1.02 2[0:Inp] || -> ssList(skc4)*. % 0.81/1.02 58[0:Inp] || -> SkP0(u,v)* equal(nil,v). % 0.81/1.02 59[0:Inp] || -> SkP1(u,v)* equal(nil,v). % 0.81/1.02 60[0:Inp] || -> SkP1(u,v)* equal(nil,u). % 0.81/1.02 65[0:Inp] ssList(u) || -> rearsegP(u,nil)*. % 0.81/1.02 69[0:Inp] || SkP0(skc4,skc5) -> neq(skc5,nil)*. % 0.81/1.02 70[0:Inp] || SkP1(skc4,skc5) -> neq(skc4,nil)*. % 0.81/1.02 71[0:Inp] || SkP1(skc4,skc5) -> rearsegP(skc5,skc4)*. % 0.81/1.02 72[0:Inp] || equal(nil,u) -> SkP0(u,v)*. % 0.81/1.02 95[0:Inp] ssList(u) || rearsegP(nil,u)* -> equal(nil,u). % 0.81/1.02 106[0:Inp] || SkP0(skc4,skc5) rearsegP(skc5,skc4)* neq(skc4,nil) -> . % 0.81/1.02 188[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). % 0.81/1.02 271[0:Res:2.0,95.0] || rearsegP(nil,skc4)* -> equal(skc4,nil). % 0.81/1.02 285[0:Res:2.0,188.1] ssList(u) || equal(tl(skc4),tl(u))* equal(hd(skc4),hd(u)) -> equal(nil,u) equal(skc4,u) equal(skc4,nil). % 0.81/1.02 453[0:Res:1.0,65.0] || -> rearsegP(skc5,nil)*. % 0.81/1.02 456[0:Res:1.0,188.1] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u) equal(skc5,nil). % 0.81/1.02 552[1:Spt:285.5] || -> equal(skc4,nil)**. % 0.81/1.02 555[1:Rew:552.0,70.0] || SkP1(nil,skc5) -> neq(skc4,nil)*. % 0.81/1.02 557[1:Rew:552.0,106.1] || SkP0(skc4,skc5) rearsegP(skc5,nil)* neq(skc4,nil) -> . % 0.81/1.02 558[1:Rew:552.0,69.0] || SkP0(nil,skc5) -> neq(skc5,nil)*. % 0.81/1.02 707[1:Rew:552.0,555.1] || SkP1(nil,skc5) -> neq(nil,nil)*. % 0.81/1.02 737[1:Rew:552.0,557.2,552.0,557.0] || SkP0(nil,skc5) rearsegP(skc5,nil)* neq(nil,nil) -> . % 0.81/1.02 738[1:MRR:737.1,453.0] || SkP0(nil,skc5) neq(nil,nil)* -> . % 0.81/1.02 815[2:Spt:456.5] || -> equal(skc5,nil)**. % 0.81/1.02 967[2:Rew:815.0,738.0] || SkP0(nil,nil) neq(nil,nil)* -> . % 0.81/1.02 968[2:Rew:815.0,558.0] || SkP0(nil,nil) -> neq(skc5,nil)*. % 0.81/1.02 979[2:Rew:815.0,968.1] || SkP0(nil,nil) -> neq(nil,nil)*. % 0.81/1.02 987[2:MRR:967.1,979.1] || SkP0(nil,nil)* -> . % 0.81/1.02 1065[2:Res:72.1,987.0] || equal(nil,nil)* -> . % 0.81/1.02 1066[2:Obv:1065.0] || -> . % 0.81/1.02 1067[2:Spt:1066.0,456.5,815.0] || equal(skc5,nil)** -> . % 0.81/1.02 1068[2:Spt:1066.0,456.0,456.1,456.2,456.3,456.4] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u). % 0.81/1.02 1095[3:Spt:738.0] || SkP0(nil,skc5)* -> . % 0.81/1.02 1096[3:Res:72.1,1095.0] || equal(nil,nil)* -> . % 0.81/1.02 1099[3:Obv:1096.0] || -> . % 0.81/1.02 1100[3:Spt:1099.0,738.0,1095.0] || -> SkP0(nil,skc5)*. % 0.81/1.02 1101[3:Spt:1099.0,738.1] || neq(nil,nil)* -> . % 0.81/1.02 1102[3:MRR:707.1,1101.0] || SkP1(nil,skc5)* -> . % 0.81/1.02 1104[3:Res:59.0,1102.0] || -> equal(skc5,nil)**. % 0.81/1.02 1106[3:MRR:1104.0,1067.0] || -> . % 0.81/1.02 1107[1:Spt:1106.0,285.5,552.0] || equal(skc4,nil)** -> . % 0.81/1.02 1108[1:Spt:1106.0,285.0,285.1,285.2,285.3,285.4] ssList(u) || equal(tl(skc4),tl(u))* equal(hd(skc4),hd(u)) -> equal(nil,u) equal(skc4,u). % 0.81/1.02 1112[1:MRR:271.1,1107.0] || rearsegP(nil,skc4)* -> . % 0.81/1.02 1123[2:Spt:456.5] || -> equal(skc5,nil)**. % 0.81/1.02 1267[2:Rew:1123.0,71.0] || SkP1(skc4,nil) -> rearsegP(skc5,skc4)*. % 0.81/1.02 1287[2:Rew:1123.0,1267.1] || SkP1(skc4,nil) -> rearsegP(nil,skc4)*. % 0.81/1.02 1288[2:MRR:1287.1,1112.0] || SkP1(skc4,nil)* -> . % 0.81/1.02 1392[2:Res:60.0,1288.0] || -> equal(skc4,nil)**. % 0.81/1.02 1393[2:MRR:1392.0,1107.0] || -> . % 0.81/1.02 1394[2:Spt:1393.0,456.5,1123.0] || equal(skc5,nil)** -> . % 0.81/1.02 1395[2:Spt:1393.0,456.0,456.1,456.2,456.3,456.4] ssList(u) || equal(tl(skc5),tl(u))* equal(hd(skc5),hd(u)) -> equal(nil,u) equal(skc5,u). % 0.81/1.02 1432[3:Spt:71.0] || SkP1(skc4,skc5)* -> . % 0.81/1.02 1434[3:Res:60.0,1432.0] || -> equal(skc4,nil)**. % 0.81/1.02 1436[3:MRR:1434.0,1107.0] || -> . % 0.81/1.02 1437[3:Spt:1436.0,71.0,1432.0] || -> SkP1(skc4,skc5)*. % 0.81/1.02 1438[3:Spt:1436.0,71.1] || -> rearsegP(skc5,skc4)*. % 0.81/1.02 1439[3:MRR:106.1,1438.0] || SkP0(skc4,skc5) neq(skc4,nil)* -> . % 0.81/1.02 1440[3:MRR:70.0,1437.0] || -> neq(skc4,nil)*. % 0.81/1.02 1441[3:MRR:1439.1,1440.0] || SkP0(skc4,skc5)* -> . % 0.81/1.02 1443[3:Res:58.0,1441.0] || -> equal(skc5,nil)**. % 0.81/1.02 1444[3:MRR:1443.0,1394.0] || -> . % 0.81/1.02 % SZS output end Refutation % 0.81/1.02 Formulae used in the proof : co1 ax51 ax52 ax77 % 0.81/1.02 %------------------------------------------------------------------------------