%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUM843+1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n026.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 14:30:58 EDT 2022 % Result : Theorem 0.19s 0.55s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM843+1 : TPTP v8.1.0. Released v4.1.0. % 0.07/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n026.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 : Thu Jul 7 10:27:39 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.55 % 0.19/0.55 SPASS V 3.9 % 0.19/0.55 SPASS beiseite: Proof found. % 0.19/0.55 % SZS status Theorem % 0.19/0.55 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.55 SPASS derived 1043 clauses, backtracked 10 clauses, performed 1 splits and kept 605 clauses. % 0.19/0.55 SPASS allocated 85961 KBytes. % 0.19/0.55 SPASS spent 0:00:00.20 on the problem. % 0.19/0.55 0:00:00.04 for the input. % 0.19/0.55 0:00:00.03 for the FLOTTER CNF translation. % 0.19/0.55 0:00:00.01 for inferences. % 0.19/0.55 0:00:00.00 for the backtracking. % 0.19/0.55 0:00:00.10 for the reduction. % 0.19/0.55 % 0.19/0.55 % 0.19/0.55 Here is a proof with depth 3, length 14 : % 0.19/0.55 % SZS output start Refutation % 0.19/0.55 2[0:Inp] || greater(vd390,vd391)* -> . % 0.19/0.55 3[0:Inp] || leq(vd390,vd391)*r -> . % 0.19/0.55 18[0:Inp] || less(u,v)* -> leq(u,v). % 0.19/0.55 19[0:Inp] || equal(u,v)* -> leq(u,v). % 0.19/0.55 28[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v). % 0.19/0.55 59[0:Res:28.1,2.0] || -> less(vd390,vd391)*r equal(vd391,vd390). % 0.19/0.55 63[1:Spt:59.1] || -> equal(vd391,vd390)**. % 0.19/0.55 68[1:Rew:63.0,3.0] || leq(vd390,vd390)* -> . % 0.19/0.55 560[0:EqR:19.0] || -> leq(u,u)*. % 0.19/0.55 561[1:UnC:560.0,68.0] || -> . % 0.19/0.55 562[1:Spt:561.0,59.1,63.0] || equal(vd391,vd390)** -> . % 0.19/0.55 563[1:Spt:561.0,59.0] || -> less(vd390,vd391)*r. % 0.19/0.55 1229[1:Res:563.0,18.0] || -> leq(vd390,vd391)*r. % 0.19/0.55 1241[1:MRR:1229.0,3.0] || -> . % 0.19/0.55 % SZS output end Refutation % 0.19/0.55 Formulae used in the proof : holds_a40_244_a44__a32_394_a44__a32_0_a41_ holds_a40_conjunct2_a40_243_a41__a44__a32_393_a44__a32_0_a41_ def_a40_cond_a40_conseq_a40_axiom_a40_3_a41__a41__a44__a32_17_a41__a44__a32_1_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_0_a41_ % 0.19/0.55 %------------------------------------------------------------------------------