%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUM841+1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n008.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 14:30:57 EDT 2022 % Result : Theorem 1.88s 2.07s % Output : Refutation 1.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM841+1 : TPTP v8.1.0. Released v4.1.0. % 0.03/0.13 % Command : run_spass %d %s % 0.13/0.34 % Computer : n008.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jul 7 22:57:38 EDT 2022 % 0.13/0.34 % CPUTime : % 1.88/2.07 % 1.88/2.07 SPASS V 3.9 % 1.88/2.07 SPASS beiseite: Proof found. % 1.88/2.07 % SZS status Theorem % 1.88/2.07 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 1.88/2.07 SPASS derived 6905 clauses, backtracked 7 clauses, performed 2 splits and kept 2682 clauses. % 1.88/2.07 SPASS allocated 90006 KBytes. % 1.88/2.07 SPASS spent 0:00:01.68 on the problem. % 1.88/2.07 0:00:00.04 for the input. % 1.88/2.07 0:00:00.03 for the FLOTTER CNF translation. % 1.88/2.07 0:00:00.05 for inferences. % 1.88/2.07 0:00:00.00 for the backtracking. % 1.88/2.07 0:00:01.52 for the reduction. % 1.88/2.07 % 1.88/2.07 % 1.88/2.07 Here is a proof with depth 3, length 22 : % 1.88/2.07 % SZS output start Refutation % 1.88/2.07 14[0:Inp] || -> greater(vplus(vd347,vd345),vplus(vd348,vd345))*. % 1.88/2.07 16[0:Inp] || -> greater(vplus(vd344,vd347),vplus(vd345,vd347))*. % 1.88/2.07 25[0:Inp] || greater(u,v)* -> less(v,u). % 1.88/2.07 26[0:Inp] || -> equal(vplus(u,v),vplus(v,u))*. % 1.88/2.07 27[0:Inp] || greater(vplus(vd344,vd347),vplus(vd345,vd348))* -> . % 1.88/2.07 28[0:Inp] || less(u,v) greater(u,v)* -> . % 1.88/2.07 30[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v). % 1.88/2.07 47[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 1.88/2.07 54[0:Rew:26.0,16.0] || -> greater(vplus(vd344,vd347),vplus(vd347,vd345))*. % 1.88/2.07 55[0:Rew:26.0,14.0] || -> greater(vplus(vd347,vd345),vplus(vd345,vd348))*. % 1.88/2.07 57[0:Res:30.1,27.0] || -> less(vplus(vd344,vd347),vplus(vd345,vd348))*r equal(vplus(vd345,vd348),vplus(vd344,vd347)). % 1.88/2.07 61[1:Spt:57.1] || -> equal(vplus(vd345,vd348),vplus(vd344,vd347))**. % 1.88/2.07 62[1:Rew:61.0,55.0] || -> greater(vplus(vd347,vd345),vplus(vd344,vd347))*. % 1.88/2.07 587[0:Res:54.0,25.0] || -> less(vplus(vd347,vd345),vplus(vd344,vd347))*l. % 1.88/2.07 698[0:Res:54.0,28.1] || less(vplus(vd344,vd347),vplus(vd347,vd345))*r -> . % 1.88/2.07 699[1:Res:62.0,28.1] || less(vplus(vd347,vd345),vplus(vd344,vd347))*l -> . % 1.88/2.07 715[1:MRR:699.0,587.0] || -> . % 1.88/2.07 716[1:Spt:715.0,57.1,61.0] || equal(vplus(vd345,vd348),vplus(vd344,vd347))** -> . % 1.88/2.07 717[1:Spt:715.0,57.0] || -> less(vplus(vd344,vd347),vplus(vd345,vd348))*r. % 1.88/2.07 722[0:Res:55.0,25.0] || -> less(vplus(vd345,vd348),vplus(vd347,vd345))*l. % 1.88/2.07 8116[1:OCh:47.1,47.0,722.0,717.0] || -> less(vplus(vd344,vd347),vplus(vd347,vd345))*r. % 1.88/2.07 8128[1:MRR:8116.0,698.0] || -> . % 1.88/2.07 % SZS output end Refutation % 1.88/2.07 Formulae used in the proof : holds_a40_213_a44__a32_351_a44__a32_1_a41_ holds_a40_212_a44__a32_350_a44__a32_0_a41_ ass_a40_cond_a40_140_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_61_a44__a32_0_a41__a44__a32_0_a41_ holds_a40_214_a44__a32_352_a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_2_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_168_a44__a32_0_a41__a44__a32_0_a41_ % 1.88/2.07 %------------------------------------------------------------------------------