%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : FLD060-4 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n023.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 25.42s 25.59s % Output : Refutation 25.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : FLD060-4 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.11/0.12 % Command : run_spass %d %s % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jun 6 21:00:54 EDT 2022 % 0.19/0.33 % CPUTime : % 25.42/25.59 % 25.42/25.59 SPASS V 3.9 % 25.42/25.59 SPASS beiseite: Proof found. % 25.42/25.59 % SZS status Theorem % 25.42/25.59 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 25.42/25.59 SPASS derived 18243 clauses, backtracked 1701 clauses, performed 18 splits and kept 12553 clauses. % 25.42/25.59 SPASS allocated 93608 KBytes. % 25.42/25.59 SPASS spent 0:0:24.57 on the problem. % 25.42/25.59 0:00:00.04 for the input. % 25.42/25.59 0:00:00.00 for the FLOTTER CNF translation. % 25.42/25.59 0:00:00.17 for inferences. % 25.42/25.59 0:00:00.95 for the backtracking. % 25.42/25.59 0:0:23.22 for the reduction. % 25.42/25.59 % 25.42/25.59 % 25.42/25.59 Here is a proof with depth 3, length 21 : % 25.42/25.59 % SZS output start Refutation % 25.42/25.59 1[0:Inp] || -> defined(a)*. % 25.42/25.59 2[0:Inp] || -> defined(b)*. % 25.42/25.59 5[0:Inp] || -> less_or_equal(a,b)*l. % 25.42/25.59 6[0:Inp] || -> sum__dfg(a,a,u__dfg)*. % 25.42/25.59 7[0:Inp] || -> sum__dfg(b,b,v__dfg)*. % 25.42/25.59 8[0:Inp] || less_or_equal(u__dfg,v__dfg)*l -> . % 25.42/25.59 13[0:Inp] || sum__dfg(u,v,w)*+ -> sum__dfg(v,u,w)*. % 25.42/25.59 27[0:Inp] defined(u) defined(v) || -> sum__dfg(v,u,add(v,u))*. % 25.42/25.59 30[0:Inp] || less_or_equal(u,v)* less_or_equal(v,w)* -> less_or_equal(u,w)*. % 25.42/25.59 32[0:Inp] || less_or_equal(u,v)*+ sum__dfg(v,w,x)* sum__dfg(u,w,y)* -> less_or_equal(y,x)*. % 25.42/25.59 45[0:Res:7.0,32.2] || less_or_equal(u,b) sum__dfg(u,b,v)* -> less_or_equal(v,v__dfg). % 25.42/25.59 53[0:Res:6.0,32.1] || less_or_equal(a,u) sum__dfg(u,a,v)* -> less_or_equal(u__dfg,v). % 25.42/25.59 118[0:Res:27.2,13.0] defined(u) defined(v) || -> sum__dfg(u,v,add(v,u))*. % 25.42/25.59 2604[0:Res:27.2,53.1] defined(a) defined(u) || less_or_equal(a,u) -> less_or_equal(u__dfg,add(u,a))*r. % 25.42/25.59 2621[0:SSi:2604.0,1.0] defined(u) || less_or_equal(a,u) -> less_or_equal(u__dfg,add(u,a))*r. % 25.42/25.59 2664[0:Res:118.2,45.1] defined(u) defined(b) || less_or_equal(u,b) -> less_or_equal(add(b,u),v__dfg)*l. % 25.42/25.59 2682[0:SSi:2664.1,2.0] defined(u) || less_or_equal(u,b) -> less_or_equal(add(b,u),v__dfg)*l. % 25.42/25.59 24278[0:OCh:30.1,30.0,2682.2,2621.2] defined(a) defined(b) || less_or_equal(a,b)*l less_or_equal(a,b)*l -> less_or_equal(u__dfg,v__dfg). % 25.42/25.59 24300[0:Obv:24278.2] defined(a) defined(b) || less_or_equal(a,b)*l -> less_or_equal(u__dfg,v__dfg). % 25.42/25.59 24301[0:SSi:24300.1,24300.0,2.0,1.0] || less_or_equal(a,b)*l -> less_or_equal(u__dfg,v__dfg). % 25.42/25.59 24302[0:MRR:24301.0,24301.1,5.0,8.0] || -> . % 25.42/25.59 % SZS output end Refutation % 25.42/25.59 Formulae used in the proof : a_is_defined b_is_defined less_or_equal_5 sum_6 sum_7 not_less_or_equal_8 commutativity_addition totality_of_addition transitivity_of_order_relation compatibility_of_order_relation_and_addition % 25.42/25.59 %------------------------------------------------------------------------------