%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUM411+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n011.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 : Mon Jul 18 14:25:56 EDT 2022 % Result : Theorem 0.19s 0.45s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM411+1 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.13 % Command : run_spass %d %s % 0.12/0.34 % Computer : n011.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jul 5 05:27:07 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.45 % 0.19/0.45 SPASS V 3.9 % 0.19/0.45 SPASS beiseite: Proof found. % 0.19/0.45 % SZS status Theorem % 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.45 SPASS derived 52 clauses, backtracked 0 clauses, performed 0 splits and kept 104 clauses. % 0.19/0.45 SPASS allocated 97730 KBytes. % 0.19/0.45 SPASS spent 0:00:00.10 on the problem. % 0.19/0.45 0:00:00.04 for the input. % 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation. % 0.19/0.45 0:00:00.00 for inferences. % 0.19/0.45 0:00:00.00 for the backtracking. % 0.19/0.45 0:00:00.00 for the reduction. % 0.19/0.45 % 0.19/0.45 % 0.19/0.45 Here is a proof with depth 2, length 18 : % 0.19/0.45 % SZS output start Refutation % 0.19/0.45 51[0:Inp] || -> transfinite_sequence_of(skc19,skc17)*. % 0.19/0.45 52[0:Inp] || -> subset(skc17,skc18)*r. % 0.19/0.45 57[0:Inp] || transfinite_sequence_of(skc19,skc18)* -> . % 0.19/0.45 67[0:Inp] || transfinite_sequence_of(u,v)* -> relation(u). % 0.19/0.45 68[0:Inp] || transfinite_sequence_of(u,v)* -> function(u). % 0.19/0.45 69[0:Inp] || transfinite_sequence_of(u,v)* -> transfinite_sequence(u). % 0.19/0.45 83[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*. % 0.19/0.45 87[0:Inp] transfinite_sequence(u) function(u) relation(u) || transfinite_sequence_of(u,v)* -> subset(relation_rng(u),v). % 0.19/0.45 88[0:Inp] relation(u) function(u) transfinite_sequence(u) || subset(relation_rng(u),v) -> transfinite_sequence_of(u,v)*. % 0.19/0.45 90[0:MRR:87.0,87.1,87.2,69.1,68.1,67.1] || transfinite_sequence_of(u,v)* -> subset(relation_rng(u),v). % 0.19/0.45 91[0:Res:51.0,90.0] || -> subset(relation_rng(skc19),skc17)*l. % 0.19/0.45 92[0:Res:51.0,67.0] || -> relation(skc19)*. % 0.19/0.45 93[0:Res:51.0,68.0] || -> function(skc19)*. % 0.19/0.45 94[0:Res:51.0,69.0] || -> transfinite_sequence(skc19)*. % 0.19/0.45 95[0:Res:88.4,57.0] transfinite_sequence(skc19) function(skc19) relation(skc19) || subset(relation_rng(skc19),skc18)*l -> . % 0.19/0.45 97[0:MRR:95.0,95.1,95.2,94.0,93.0,92.0] || subset(relation_rng(skc19),skc18)*l -> . % 0.19/0.45 143[0:NCh:83.2,83.0,97.0,91.0] || subset(skc17,skc18)*r -> . % 0.19/0.45 145[0:MRR:143.0,52.0] || -> . % 0.19/0.45 % SZS output end Refutation % 0.19/0.45 Formulae used in the proof : t47_ordinal1 dt_m1_ordinal1 t1_xboole_1 d8_ordinal1 % 0.19/0.45 %------------------------------------------------------------------------------