%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV374+1 : TPTP v8.1.0. Released v3.3.0. % 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 : Wed Jul 20 21:42:34 EDT 2022 % Result : Theorem 2.50s 2.67s % Output : Refutation 2.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV374+1 : TPTP v8.1.0. Released v3.3.0. % 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 : Wed Jun 15 18:23:15 EDT 2022 % 0.13/0.35 % CPUTime : % 2.50/2.67 % 2.50/2.67 SPASS V 3.9 % 2.50/2.67 SPASS beiseite: Proof found. % 2.50/2.67 % SZS status Theorem % 2.50/2.67 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.50/2.67 SPASS derived 2949 clauses, backtracked 4 clauses, performed 2 splits and kept 1818 clauses. % 2.50/2.67 SPASS allocated 90645 KBytes. % 2.50/2.67 SPASS spent 0:00:02.28 on the problem. % 2.50/2.67 0:00:00.04 for the input. % 2.50/2.67 0:00:00.04 for the FLOTTER CNF translation. % 2.50/2.67 0:00:00.07 for inferences. % 2.50/2.67 0:00:00.01 for the backtracking. % 2.50/2.67 0:00:02.09 for the reduction. % 2.50/2.67 % 2.50/2.67 % 2.50/2.67 Here is a proof with depth 3, length 24 : % 2.50/2.67 % SZS output start Refutation % 2.50/2.67 10[0:Inp] || -> ok(findmin_cpq_eff(triple(skc3,skc4,skc5)))*. % 2.50/2.67 11[0:Inp] || -> less_than(u,v)* less_than(v,u)*. % 2.50/2.67 13[0:Inp] || ok(triple(u,v,bad))* -> . % 2.50/2.67 25[0:Inp] || less_than(u,v) -> less_than(v,u) strictly_less_than(u,v)*. % 2.50/2.67 28[0:Inp] || -> equal(findmin_cpq_eff(triple(u,create_slb,v)),triple(u,create_slb,bad))**. % 2.50/2.67 37[0:Inp] || contains_slb(skc4,findmin_pqp_res(skc3)) less_than(lookup_slb(skc4,findmin_pqp_res(skc3)),findmin_pqp_res(skc3))*l -> equal(skc4,create_slb). % 2.50/2.67 47[0:Inp] || -> equal(u,create_slb) contains_slb(u,findmin_pqp_res(v)) equal(findmin_cpq_eff(triple(v,u,w)),triple(v,update_slb(u,findmin_pqp_res(v)),bad))*. % 2.50/2.67 52[0:Inp] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u))) contains_slb(v,findmin_pqp_res(u)) -> equal(findmin_cpq_eff(triple(u,v,w)),triple(u,update_slb(v,findmin_pqp_res(u)),bad))* equal(v,create_slb). % 2.50/2.67 56[0:MRR:25.0,11.0] || -> strictly_less_than(u,v)* less_than(v,u). % 2.50/2.67 57[0:MRR:52.1,47.1] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u))) -> equal(v,create_slb) equal(findmin_cpq_eff(triple(u,v,w)),triple(u,update_slb(v,findmin_pqp_res(u)),bad))*. % 2.50/2.67 243[0:SpL:47.2,13.0] || ok(findmin_cpq_eff(triple(u,v,w)))* -> equal(v,create_slb) contains_slb(v,findmin_pqp_res(u)). % 2.50/2.67 260[0:Res:10.0,243.0] || -> equal(skc4,create_slb) contains_slb(skc4,findmin_pqp_res(skc3))*. % 2.50/2.67 261[0:MRR:37.0,260.1] || less_than(lookup_slb(skc4,findmin_pqp_res(skc3)),findmin_pqp_res(skc3))*l -> equal(skc4,create_slb). % 2.50/2.67 263[1:Spt:260.0] || -> equal(skc4,create_slb)**. % 2.50/2.67 264[1:Rew:263.0,10.0] || -> ok(findmin_cpq_eff(triple(skc3,create_slb,skc5)))*. % 2.50/2.67 265[1:Rew:28.0,264.0] || -> ok(triple(skc3,create_slb,bad))*. % 2.50/2.67 266[1:MRR:265.0,13.0] || -> . % 2.50/2.67 267[1:Spt:266.0,260.0,263.0] || equal(skc4,create_slb)** -> . % 2.50/2.67 268[1:Spt:266.0,260.1] || -> contains_slb(skc4,findmin_pqp_res(skc3))*. % 2.50/2.67 269[1:MRR:261.1,267.0] || less_than(lookup_slb(skc4,findmin_pqp_res(skc3)),findmin_pqp_res(skc3))*l -> . % 2.50/2.67 338[0:SpL:57.2,13.0] || strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))*+ ok(findmin_cpq_eff(triple(u,v,w)))* -> equal(v,create_slb). % 2.50/2.67 442[0:Res:56.0,338.0] || ok(findmin_cpq_eff(triple(u,v,w)))* -> less_than(lookup_slb(v,findmin_pqp_res(u)),findmin_pqp_res(u)) equal(v,create_slb). % 2.50/2.67 3461[0:Res:10.0,442.0] || -> less_than(lookup_slb(skc4,findmin_pqp_res(skc3)),findmin_pqp_res(skc3))*l equal(skc4,create_slb). % 2.50/2.67 3462[1:MRR:3461.0,3461.1,269.0,267.0] || -> . % 2.50/2.67 % SZS output end Refutation % 2.50/2.67 Formulae used in the proof : l10_co totality ax40 stricly_smaller_definition ax46 ax47 ax48 % 2.50/2.67 %------------------------------------------------------------------------------