%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV378+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n006.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 21:42:35 EDT 2022 % Result : Theorem 3.65s 3.88s % Output : Refutation 3.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV378+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n006.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 : Wed Jun 15 18:31:26 EDT 2022 % 0.12/0.33 % CPUTime : % 3.65/3.88 % 3.65/3.88 SPASS V 3.9 % 3.65/3.88 SPASS beiseite: Proof found. % 3.65/3.88 % SZS status Theorem % 3.65/3.88 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 3.65/3.88 SPASS derived 3323 clauses, backtracked 0 clauses, performed 1 splits and kept 2156 clauses. % 3.65/3.88 SPASS allocated 91312 KBytes. % 3.65/3.88 SPASS spent 0:00:03.49 on the problem. % 3.65/3.88 0:00:00.03 for the input. % 3.65/3.88 0:00:00.04 for the FLOTTER CNF translation. % 3.65/3.88 0:00:00.09 for inferences. % 3.65/3.88 0:00:00.01 for the backtracking. % 3.65/3.88 0:00:03.30 for the reduction. % 3.65/3.88 % 3.65/3.88 % 3.65/3.88 Here is a proof with depth 3, length 21 : % 3.65/3.88 % SZS output start Refutation % 3.65/3.88 10[0:Inp] || ok(triple(skc4,skc5,skc6))* -> . % 3.65/3.88 11[0:Inp] || -> less_than(u,v)* less_than(v,u)*. % 3.65/3.88 13[0:Inp] || ok(triple(u,v,bad))* -> . % 3.65/3.88 14[0:Inp] || -> ok(remove_cpq(triple(skc4,skc5,skc6),skc7))*. % 3.65/3.88 20[0:Inp] || -> ok(triple(u,v,w))* equal(w,bad). % 3.65/3.88 26[0:Inp] || less_than(u,v) -> less_than(v,u) strictly_less_than(u,v)*. % 3.65/3.88 37[0:Inp] || -> contains_slb(u,v) equal(remove_cpq(triple(w,u,x),v),triple(w,u,bad))**. % 3.65/3.88 49[0:Inp] || contains_slb(u,v) strictly_less_than(v,lookup_slb(u,v)) -> equal(remove_cpq(triple(w,u,x),v),triple(remove_pqp(w,v),remove_slb(u,v),bad))*. % 3.65/3.88 50[0:Inp] || contains_slb(u,v) less_than(lookup_slb(u,v),v) -> equal(triple(remove_pqp(w,v),remove_slb(u,v),x),remove_cpq(triple(w,u,x),v))**. % 3.65/3.88 56[0:MRR:26.0,11.0] || -> strictly_less_than(u,v)* less_than(v,u). % 3.65/3.88 58[0:Res:20.0,10.0] || -> equal(skc6,bad)**. % 3.65/3.88 60[0:Rew:58.0,14.0] || -> ok(remove_cpq(triple(skc4,skc5,bad),skc7))*. % 3.65/3.88 108[0:SpR:37.1,60.0] || -> contains_slb(skc5,skc7) ok(triple(skc4,skc5,bad))*. % 3.65/3.88 113[0:MRR:108.1,13.0] || -> contains_slb(skc5,skc7)*. % 3.65/3.88 543[0:SpL:49.2,13.0] || contains_slb(u,v) strictly_less_than(v,lookup_slb(u,v))* ok(remove_cpq(triple(w,u,x),v))*+ -> . % 3.65/3.88 590[0:Res:60.0,543.2] || contains_slb(skc5,skc7) strictly_less_than(skc7,lookup_slb(skc5,skc7))* -> . % 3.65/3.88 591[0:MRR:590.0,113.0] || strictly_less_than(skc7,lookup_slb(skc5,skc7))* -> . % 3.65/3.88 593[0:Res:56.0,591.0] || -> less_than(lookup_slb(skc5,skc7),skc7)*l. % 3.65/3.88 623[0:SpL:50.2,13.0] || contains_slb(u,v) less_than(lookup_slb(u,v),v) ok(remove_cpq(triple(w,u,bad),v))* -> . % 3.65/3.88 3896[0:Res:60.0,623.2] || contains_slb(skc5,skc7) less_than(lookup_slb(skc5,skc7),skc7)*l -> . % 3.65/3.88 3897[0:MRR:3896.0,3896.1,113.0,593.0] || -> . % 3.65/3.88 % SZS output end Refutation % 3.65/3.88 Formulae used in the proof : l14_co totality ax40 ax41 stricly_smaller_definition ax43 ax45 ax44 % 3.65/3.88 %------------------------------------------------------------------------------