%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : FLD061-4 : TPTP v8.1.0. Bugfixed v2.1.0. % 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 : Sat Jul 16 02:28:35 EDT 2022 % Result : Unsatisfiable 51.26s 51.46s % Output : Refutation 51.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : FLD061-4 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.06/0.12 % 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 : Mon Jun 6 12:07:05 EDT 2022 % 0.12/0.33 % CPUTime : % 51.26/51.46 % 51.26/51.46 SPASS V 3.9 % 51.26/51.46 SPASS beiseite: Proof found. % 51.26/51.46 % SZS status Theorem % 51.26/51.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 51.26/51.46 SPASS derived 28750 clauses, backtracked 5069 clauses, performed 75 splits and kept 24012 clauses. % 51.26/51.46 SPASS allocated 101284 KBytes. % 51.26/51.46 SPASS spent 0:0:49.32 on the problem. % 51.26/51.46 0:00:00.04 for the input. % 51.26/51.46 0:00:00.00 for the FLOTTER CNF translation. % 51.26/51.46 0:00:00.28 for inferences. % 51.26/51.46 0:00:02.53 for the backtracking. % 51.26/51.46 0:0:46.04 for the reduction. % 51.26/51.46 % 51.26/51.46 % 51.26/51.46 Here is a proof with depth 3, length 21 : % 51.26/51.46 % SZS output start Refutation % 51.26/51.46 2[0:Inp] || -> defined(b)*. % 51.26/51.46 3[0:Inp] || -> defined(c)*. % 51.26/51.46 7[0:Inp] || -> less_or_equal(a,b)*l. % 51.26/51.46 8[0:Inp] || -> less_or_equal(c,d)*l. % 51.26/51.46 9[0:Inp] || -> sum__dfg(a,c,u__dfg)*. % 51.26/51.46 10[0:Inp] || -> sum__dfg(d,b,v__dfg)*. % 51.26/51.46 11[0:Inp] || less_or_equal(u__dfg,v__dfg)*l -> . % 51.26/51.46 16[0:Inp] || sum__dfg(u,v,w)*+ -> sum__dfg(v,u,w)*. % 51.26/51.46 30[0:Inp] defined(u) defined(v) || -> sum__dfg(v,u,add(v,u))*. % 51.26/51.46 33[0:Inp] || less_or_equal(u,v)* less_or_equal(v,w)* -> less_or_equal(u,w)*. % 51.26/51.46 35[0:Inp] || less_or_equal(u,v)*+ sum__dfg(v,w,x)* sum__dfg(u,w,y)* -> less_or_equal(y,x)*. % 51.26/51.46 48[0:Res:10.0,35.2] || less_or_equal(u,d) sum__dfg(u,b,v)* -> less_or_equal(v,v__dfg). % 51.26/51.46 56[0:Res:9.0,35.1] || less_or_equal(a,u) sum__dfg(u,c,v)* -> less_or_equal(u__dfg,v). % 51.26/51.46 116[0:Res:30.2,16.0] defined(u) defined(v) || -> sum__dfg(u,v,add(v,u))*. % 51.26/51.46 2668[0:Res:30.2,56.1] defined(c) defined(u) || less_or_equal(a,u) -> less_or_equal(u__dfg,add(u,c))*r. % 51.26/51.46 2683[0:SSi:2668.0,3.0] defined(u) || less_or_equal(a,u) -> less_or_equal(u__dfg,add(u,c))*r. % 51.26/51.46 2737[0:Res:116.2,48.1] defined(u) defined(b) || less_or_equal(u,d) -> less_or_equal(add(b,u),v__dfg)*l. % 51.26/51.46 2749[0:SSi:2737.1,2.0] defined(u) || less_or_equal(u,d) -> less_or_equal(add(b,u),v__dfg)*l. % 51.26/51.46 38190[0:OCh:33.1,33.0,2749.2,2683.2] defined(c) defined(b) || less_or_equal(c,d) less_or_equal(a,b)*l -> less_or_equal(u__dfg,v__dfg). % 51.26/51.46 38212[0:SSi:38190.1,38190.0,2.0,3.0] || less_or_equal(c,d) less_or_equal(a,b)*l -> less_or_equal(u__dfg,v__dfg). % 51.26/51.46 38213[0:MRR:38212.0,38212.1,38212.2,8.0,7.0,11.0] || -> . % 51.26/51.46 % SZS output end Refutation % 51.26/51.46 Formulae used in the proof : b_is_defined c_is_defined less_or_equal_7 less_or_equal_8 sum_9 sum_10 not_less_or_equal_11 commutativity_addition totality_of_addition transitivity_of_order_relation compatibility_of_order_relation_and_addition % 51.26/51.46 %------------------------------------------------------------------------------