%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : KRS144+1 : TPTP v8.1.0. Released v3.1.0. % 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 : Sun Jul 17 03:30:42 EDT 2022 % Result : Theorem 0.18s 0.45s % Output : Refutation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS144+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n028.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 : Tue Jun 7 11:00:45 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.45 % 0.18/0.45 SPASS V 3.9 % 0.18/0.45 SPASS beiseite: Proof found. % 0.18/0.45 % SZS status Theorem % 0.18/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/0.45 SPASS derived 34 clauses, backtracked 17 clauses, performed 3 splits and kept 55 clauses. % 0.18/0.45 SPASS allocated 97877 KBytes. % 0.18/0.45 SPASS spent 0:00:00.11 on the problem. % 0.18/0.45 0:00:00.04 for the input. % 0.18/0.45 0:00:00.04 for the FLOTTER CNF translation. % 0.18/0.45 0:00:00.00 for inferences. % 0.18/0.45 0:00:00.00 for the backtracking. % 0.18/0.45 0:00:00.00 for the reduction. % 0.18/0.45 % 0.18/0.45 % 0.18/0.45 Here is a proof with depth 3, length 54 : % 0.18/0.45 % SZS output start Refutation % 0.18/0.45 1[0:Inp] || -> cowlThing(u)*. % 0.18/0.45 2[0:Inp] || -> SkC1 cc(skc12)*. % 0.18/0.45 3[0:Inp] cowlNothing(u) || -> . % 0.18/0.45 4[0:Inp] || -> SkC1 rp(skc12,skc15)*. % 0.18/0.45 5[0:Inp] || -> SkC1 rp(skc12,skc14)*. % 0.18/0.45 6[0:Inp] || -> SkC1 rp(skc12,skc13)*. % 0.18/0.45 7[0:Inp] || -> xsd_string(u)* xsd_integer(u). % 0.18/0.45 8[0:Inp] || equal(skc15,skc14) -> SkC1*. % 0.18/0.45 9[0:Inp] || equal(skc15,skc13) -> SkC1*. % 0.18/0.45 10[0:Inp] || equal(skc14,skc13) -> SkC1*. % 0.18/0.45 11[0:Inp] || xsd_integer(skc11) -> xsd_string(skc11)* SkC0. % 0.18/0.45 12[0:Inp] || xsd_string(skc11)* -> xsd_integer(skc11) SkC0. % 0.18/0.45 13[0:Inp] xsd_integer(u) xsd_string(u) || -> . % 0.18/0.45 14[0:Inp] cc(u) || -> rp(u,skf5(u))*. % 0.18/0.45 15[0:Inp] cc(u) || -> rp(u,skf4(u))*. % 0.18/0.45 16[0:Inp] cc(u) || equal(skf5(u),skf4(u))** -> . % 0.18/0.45 17[0:Inp] || cowlThing(skc8) SkC0 SkC1 -> cc(skc10) cowlNothing(skc9)*. % 0.18/0.45 18[0:Inp] || rp(skc10,u)* rp(skc10,v)* cowlThing(skc8) SkC0 SkC1 -> equal(u,v)* cowlNothing(skc9). % 0.18/0.45 19[0:Inp] cc(u) || rp(u,v)*+ rp(u,w)* rp(u,x)* -> equal(x,w)* equal(v,w)* equal(v,x)*. % 0.18/0.45 20[0:MRR:12.0,7.1] || -> SkC0 xsd_integer(skc11)*. % 0.18/0.45 21[0:MRR:11.0,20.0] || -> SkC0 xsd_string(skc11)*. % 0.18/0.45 22[0:MRR:17.0,17.4,1.0,3.0] || SkC1 SkC0 -> cc(skc10)*. % 0.18/0.45 23[0:MRR:18.2,18.6,1.0,3.0] || SkC1 SkC0 rp(skc10,u)* rp(skc10,v)* -> equal(v,u)*. % 0.18/0.45 24[1:Spt:2.0] || -> SkC1*. % 0.18/0.45 25[1:MRR:22.0,24.0] || SkC0 -> cc(skc10)*. % 0.18/0.45 26[1:MRR:23.0,24.0] || SkC0 rp(skc10,u)* rp(skc10,v)* -> equal(v,u)*. % 0.18/0.45 27[2:Spt:20.0] || -> SkC0*. % 0.18/0.45 28[2:MRR:25.0,27.0] || -> cc(skc10)*. % 0.18/0.45 29[2:MRR:26.0,27.0] || rp(skc10,u)*+ rp(skc10,v)* -> equal(v,u)*. % 0.18/0.45 30[2:Res:15.1,29.0] cc(skc10) || rp(skc10,u)* -> equal(u,skf4(skc10)). % 0.18/0.45 32[2:SSi:30.0,28.0] || rp(skc10,u)* -> equal(u,skf4(skc10)). % 0.18/0.45 39[2:Res:14.1,32.0] cc(skc10) || -> equal(skf5(skc10),skf4(skc10))**. % 0.18/0.45 40[2:SSi:39.0,28.0] || -> equal(skf5(skc10),skf4(skc10))**. % 0.18/0.45 44[2:SpL:40.0,16.1] cc(skc10) || equal(skf4(skc10),skf4(skc10))* -> . % 0.18/0.45 45[2:Obv:44.1] cc(skc10) || -> . % 0.18/0.45 46[2:SSi:45.0,28.0] || -> . % 0.18/0.45 47[2:Spt:46.0,20.0,27.0] || SkC0* -> . % 0.18/0.45 48[2:Spt:46.0,20.1] || -> xsd_integer(skc11)*. % 0.18/0.45 49[2:MRR:21.0,47.0] || -> xsd_string(skc11)*. % 0.18/0.45 51[2:EmS:13.0,13.1,48.0,49.0] || -> . % 0.18/0.45 52[1:Spt:51.0,2.0,24.0] || SkC1* -> . % 0.18/0.45 53[1:Spt:51.0,2.1] || -> cc(skc12)*. % 0.18/0.45 54[1:MRR:6.0,52.0] || -> rp(skc12,skc13)*. % 0.18/0.45 55[1:MRR:5.0,52.0] || -> rp(skc12,skc14)*. % 0.18/0.45 56[1:MRR:4.0,52.0] || -> rp(skc12,skc15)*. % 0.18/0.45 57[1:MRR:10.1,52.0] || equal(skc14,skc13)** -> . % 0.18/0.45 58[1:MRR:9.1,52.0] || equal(skc15,skc13)** -> . % 0.18/0.45 59[1:MRR:8.1,52.0] || equal(skc15,skc14)** -> . % 0.18/0.45 61[1:Res:54.0,19.1] cc(skc12) || rp(skc12,u)* rp(skc12,v)* -> equal(v,u)* equal(skc13,u) equal(skc13,v). % 0.18/0.45 62[1:SSi:61.0,53.0] || rp(skc12,u)*+ rp(skc12,v)* -> equal(v,u)* equal(skc13,u) equal(skc13,v). % 0.18/0.45 70[1:Res:55.0,62.0] || rp(skc12,u)* -> equal(u,skc14) equal(skc14,skc13) equal(skc13,u). % 0.18/0.45 72[1:MRR:70.2,57.0] || rp(skc12,u)* -> equal(u,skc14) equal(skc13,u). % 0.18/0.45 80[1:Res:56.0,72.0] || -> equal(skc15,skc14)** equal(skc15,skc13). % 0.18/0.45 81[1:MRR:80.0,80.1,59.0,58.0] || -> . % 0.18/0.45 % SZS output end Refutation % 0.18/0.45 Formulae used in the proof : axiom_0 the_axiom axiom_1 axiom_2 % 0.18/0.45 %------------------------------------------------------------------------------