%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUM839+1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n021.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 14:30:55 EDT 2022 % Result : Theorem 0.55s 0.73s % Output : Refutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM839+1 : TPTP v8.1.0. Released v4.1.0. % 0.06/0.13 % Command : run_spass %d %s % 0.12/0.34 % Computer : n021.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 : Wed Jul 6 08:51:48 EDT 2022 % 0.12/0.34 % CPUTime : % 0.55/0.73 % 0.55/0.73 SPASS V 3.9 % 0.55/0.73 SPASS beiseite: Proof found. % 0.55/0.73 % SZS status Theorem % 0.55/0.73 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.55/0.73 SPASS derived 1967 clauses, backtracked 7 clauses, performed 1 splits and kept 911 clauses. % 0.55/0.73 SPASS allocated 86577 KBytes. % 0.55/0.73 SPASS spent 0:00:00.37 on the problem. % 0.55/0.73 0:00:00.04 for the input. % 0.55/0.73 0:00:00.03 for the FLOTTER CNF translation. % 0.55/0.73 0:00:00.02 for inferences. % 0.55/0.73 0:00:00.00 for the backtracking. % 0.55/0.73 0:00:00.26 for the reduction. % 0.55/0.73 % 0.55/0.73 % 0.55/0.73 Here is a proof with depth 10, length 28 : % 0.55/0.73 % SZS output start Refutation % 0.55/0.73 1[0:Inp] || greater(vd328,vd329)* -> . % 0.55/0.73 3[0:Inp] || greater(u,u)* -> . % 0.55/0.73 4[0:Inp] || -> greater(vplus(u,v),u)*. % 0.55/0.73 12[0:Inp] || -> greater(vplus(vd328,vd330),vplus(vd329,vd330))*. % 0.55/0.73 20[0:Inp] || less(u,v) -> greater(v,u)*. % 0.55/0.73 22[0:Inp] || -> equal(vplus(u,v),vplus(v,u))*. % 0.55/0.73 25[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v). % 0.55/0.73 35[0:Inp] || greater(u,v) -> greater(vplus(u,w),vplus(v,w))*. % 0.55/0.73 41[0:Inp] || greater(u,v) -> equal(vplus(v,skf5(v,u)),u)**. % 0.55/0.73 43[0:Inp] || -> equal(vplus(vplus(u,v),w),vplus(u,vplus(v,w)))**. % 0.55/0.73 46[0:Res:20.1,1.0] || less(vd329,vd328)*l -> . % 0.55/0.73 47[0:Res:25.1,1.0] || -> less(vd328,vd329)*r equal(vd329,vd328). % 0.55/0.73 50[1:Spt:47.1] || -> equal(vd329,vd328)**. % 0.55/0.73 53[1:Rew:50.0,12.0] || -> greater(vplus(vd328,vd330),vplus(vd328,vd330))*. % 0.55/0.73 55[1:MRR:53.0,3.0] || -> . % 0.55/0.73 56[1:Spt:55.0,47.1,50.0] || equal(vd329,vd328)** -> . % 0.55/0.73 57[1:Spt:55.0,47.0] || -> less(vd328,vd329)*r. % 0.55/0.73 69[0:SpR:22.0,4.0] || -> greater(vplus(u,v),v)*. % 0.55/0.73 253[0:SpR:43.0,69.0] || -> greater(vplus(u,vplus(v,w)),w)*. % 0.55/0.73 292[0:SpR:22.0,253.0] || -> greater(vplus(u,vplus(v,w)),v)*. % 0.55/0.73 318[0:SpR:41.1,292.0] || greater(u,v) -> greater(vplus(w,u),v)*. % 0.55/0.73 1875[0:Res:318.1,3.0] || greater(u,vplus(v,u))* -> . % 0.55/0.73 1888[0:SpL:22.0,1875.0] || greater(u,vplus(u,v))* -> . % 0.55/0.73 1981[0:SpL:41.1,1888.0] || greater(u,v)*+ greater(v,u)* -> . % 0.55/0.73 2274[0:Res:12.0,1981.0] || greater(vplus(vd329,vd330),vplus(vd328,vd330))* -> . % 0.55/0.73 2303[0:Res:35.1,2274.0] || greater(vd329,vd328)* -> . % 0.55/0.73 2308[0:Res:25.1,2303.0] || -> less(vd329,vd328)*l equal(vd329,vd328). % 0.55/0.73 2311[1:MRR:2308.0,2308.1,46.0,56.0] || -> . % 0.55/0.73 % SZS output end Refutation % 0.55/0.73 Formulae used in the proof : holds_a40_conseq_a40_204_a41__a44__a32_332_a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_3_a41_ ass_a40_cond_a40_189_a44__a32_0_a41__a44__a32_0_a41_ holds_a40_antec_a40_204_a41__a44__a32_331_a44__a32_0_a41_ ass_a40_cond_a40_147_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_61_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_193_a41__a44__a32_0_a41__a44__a32_2_a41_ def_a40_cond_a40_conseq_a40_axiom_a40_3_a41__a41__a44__a32_11_a41__a44__a32_1_a41_ ass_a40_cond_a40_33_a44__a32_0_a41__a44__a32_0_a41_ % 0.55/0.73 %------------------------------------------------------------------------------