%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n015.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 2.34s 2.56s % Output : Refutation 2.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0. % 0.13/0.13 % Command : run_spass %d %s % 0.13/0.35 % Computer : n015.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Thu Jul 7 00:24:34 EDT 2022 % 0.13/0.35 % CPUTime : % 2.34/2.56 % 2.34/2.56 SPASS V 3.9 % 2.34/2.56 SPASS beiseite: Proof found. % 2.34/2.56 % SZS status Theorem % 2.34/2.56 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.34/2.56 SPASS derived 7082 clauses, backtracked 10 clauses, performed 1 splits and kept 2637 clauses. % 2.34/2.56 SPASS allocated 90393 KBytes. % 2.34/2.56 SPASS spent 0:00:02.16 on the problem. % 2.34/2.56 0:00:00.03 for the input. % 2.34/2.56 0:00:00.03 for the FLOTTER CNF translation. % 2.34/2.56 0:00:00.06 for inferences. % 2.34/2.56 0:00:00.00 for the backtracking. % 2.34/2.56 0:00:02.00 for the reduction. % 2.34/2.56 % 2.34/2.56 % 2.34/2.56 Here is a proof with depth 3, length 17 : % 2.34/2.56 % SZS output start Refutation % 2.34/2.56 1[0:Inp] || less(vd328,vd329)*r -> . % 2.34/2.56 2[0:Inp] || less(u,u)* -> . % 2.34/2.56 12[0:Inp] || -> less(vplus(vd328,vd330),vplus(vd329,vd330))*r. % 2.34/2.56 21[0:Inp] || greater(u,v)* -> less(v,u). % 2.34/2.56 25[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v). % 2.34/2.56 36[0:Inp] || less(u,v) -> less(vplus(u,w),vplus(v,w))*. % 2.34/2.56 41[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 2.34/2.56 51[0:Res:25.2,1.0] || -> greater(vd328,vd329)* equal(vd329,vd328). % 2.34/2.56 55[1:Spt:51.1] || -> equal(vd329,vd328)**. % 2.34/2.56 56[1:Rew:55.0,12.0] || -> less(vplus(vd328,vd330),vplus(vd328,vd330))*. % 2.34/2.56 62[1:MRR:56.0,2.0] || -> . % 2.34/2.56 63[1:Spt:62.0,51.1,55.0] || equal(vd329,vd328)** -> . % 2.34/2.56 64[1:Spt:62.0,51.0] || -> greater(vd328,vd329)*. % 2.34/2.56 449[0:NCh:41.2,41.1,12.0,2.0] || less(vplus(vd329,vd330),vplus(vd328,vd330))*l -> . % 2.34/2.56 625[1:Res:64.0,21.0] || -> less(vd329,vd328)*l. % 2.34/2.56 8581[0:Res:36.1,449.0] || less(vd329,vd328)*l -> . % 2.34/2.56 8584[1:MRR:8581.0,625.0] || -> . % 2.34/2.56 % SZS output end Refutation % 2.34/2.56 Formulae used in the proof : holds_a40_conseq_a40_conjunct2_a40_conjunct2_a40_204_a41__a41__a41__a44__a32_336_a44__a32_0_a41_ ass_a40_cond_a40_goal_a40_130_a41__a44__a32_0_a41__a44__a32_1_a41_ holds_a40_antec_a40_conjunct2_a40_conjunct2_a40_204_a41__a41__a41__a44__a32_335_a44__a32_0_a41_ ass_a40_cond_a40_140_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_0_a41_ ass_a40_cond_a40_168_a44__a32_0_a41__a44__a32_0_a41_ % 2.34/2.56 %------------------------------------------------------------------------------