%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUM839+2 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n003.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 14:30:56 EDT 2022 % Result : Theorem 0.54s 0.76s % Output : Refutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM839+2 : TPTP v8.1.0. Released v4.1.0. % 0.06/0.13 % Command : run_spass %d %s % 0.13/0.32 % Computer : n003.cluster.edu % 0.13/0.32 % Model : x86_64 x86_64 % 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.32 % Memory : 8042.1875MB % 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.32 % CPULimit : 300 % 0.13/0.32 % WCLimit : 600 % 0.13/0.32 % DateTime : Thu Jul 7 10:01:27 EDT 2022 % 0.13/0.32 % CPUTime : % 0.54/0.76 % 0.54/0.76 SPASS V 3.9 % 0.54/0.76 SPASS beiseite: Proof found. % 0.54/0.76 % SZS status Theorem % 0.54/0.76 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.54/0.76 SPASS derived 1967 clauses, backtracked 7 clauses, performed 1 splits and kept 911 clauses. % 0.54/0.76 SPASS allocated 86576 KBytes. % 0.54/0.76 SPASS spent 0:00:00.41 on the problem. % 0.54/0.76 0:00:00.04 for the input. % 0.54/0.76 0:00:00.03 for the FLOTTER CNF translation. % 0.54/0.76 0:00:00.02 for inferences. % 0.54/0.76 0:00:00.00 for the backtracking. % 0.54/0.76 0:00:00.29 for the reduction. % 0.54/0.76 % 0.54/0.76 % 0.54/0.76 Here is a proof with depth 10, length 28 : % 0.54/0.76 % SZS output start Refutation % 0.54/0.76 1[0:Inp] || greater(vd328,vd329)* -> . % 0.54/0.76 3[0:Inp] || greater(u,u)* -> . % 0.54/0.76 4[0:Inp] || -> greater(vplus(u,v),u)*. % 0.54/0.76 11[0:Inp] || -> greater(vplus(vd328,vd330),vplus(vd329,vd330))*. % 0.54/0.76 19[0:Inp] || less(u,v) -> greater(v,u)*. % 0.54/0.76 21[0:Inp] || -> equal(vplus(u,v),vplus(v,u))*. % 0.54/0.76 24[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v). % 0.54/0.76 33[0:Inp] || greater(u,v) -> greater(vplus(u,w),vplus(v,w))*. % 0.54/0.76 39[0:Inp] || greater(u,v) -> equal(vplus(v,skf5(v,u)),u)**. % 0.54/0.76 41[0:Inp] || -> equal(vplus(vplus(u,v),w),vplus(u,vplus(v,w)))**. % 0.54/0.76 44[0:Res:19.1,1.0] || less(vd329,vd328)*l -> . % 0.54/0.76 45[0:Res:24.1,1.0] || -> less(vd328,vd329)*r equal(vd329,vd328). % 0.54/0.76 48[1:Spt:45.1] || -> equal(vd329,vd328)**. % 0.54/0.76 51[1:Rew:48.0,11.0] || -> greater(vplus(vd328,vd330),vplus(vd328,vd330))*. % 0.54/0.76 53[1:MRR:51.0,3.0] || -> . % 0.54/0.76 54[1:Spt:53.0,45.1,48.0] || equal(vd329,vd328)** -> . % 0.54/0.76 55[1:Spt:53.0,45.0] || -> less(vd328,vd329)*r. % 0.54/0.76 67[0:SpR:21.0,4.0] || -> greater(vplus(u,v),v)*. % 0.54/0.76 251[0:SpR:41.0,67.0] || -> greater(vplus(u,vplus(v,w)),w)*. % 0.54/0.76 290[0:SpR:21.0,251.0] || -> greater(vplus(u,vplus(v,w)),v)*. % 0.54/0.76 316[0:SpR:39.1,290.0] || greater(u,v) -> greater(vplus(w,u),v)*. % 0.54/0.76 1873[0:Res:316.1,3.0] || greater(u,vplus(v,u))* -> . % 0.54/0.76 1886[0:SpL:21.0,1873.0] || greater(u,vplus(u,v))* -> . % 0.54/0.76 1979[0:SpL:39.1,1886.0] || greater(u,v)*+ greater(v,u)* -> . % 0.54/0.76 2272[0:Res:11.0,1979.0] || greater(vplus(vd329,vd330),vplus(vd328,vd330))* -> . % 0.54/0.76 2301[0:Res:33.1,2272.0] || greater(vd329,vd328)* -> . % 0.54/0.76 2306[0:Res:24.1,2301.0] || -> less(vd329,vd328)*l equal(vd329,vd328). % 0.54/0.76 2309[1:MRR:2306.0,2306.1,44.0,54.0] || -> . % 0.54/0.76 % SZS output end Refutation % 0.54/0.76 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_ % 0.54/0.76 %------------------------------------------------------------------------------