%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : NUM855+2 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n013.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 14:31:08 EDT 2022 % Result : Theorem 2.34s 2.50s % Output : Refutation 2.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : NUM855+2 : TPTP v8.1.0. Released v4.1.0. % 0.00/0.09 % Command : run_spass %d %s % 0.09/0.29 % Computer : n013.cluster.edu % 0.09/0.29 % Model : x86_64 x86_64 % 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.29 % Memory : 8042.1875MB % 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.29 % CPULimit : 300 % 0.09/0.29 % WCLimit : 600 % 0.09/0.29 % DateTime : Thu Jul 7 06:49:44 EDT 2022 % 0.09/0.29 % CPUTime : % 2.34/2.50 % 2.34/2.50 SPASS V 3.9 % 2.34/2.50 SPASS beiseite: Proof found. % 2.34/2.50 % SZS status Theorem % 2.34/2.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.34/2.50 SPASS derived 6559 clauses, backtracked 7 clauses, performed 3 splits and kept 2882 clauses. % 2.34/2.50 SPASS allocated 90250 KBytes. % 2.34/2.50 SPASS spent 0:00:02.15 on the problem. % 2.34/2.50 0:00:00.03 for the input. % 2.34/2.50 0:00:00.03 for the FLOTTER CNF translation. % 2.34/2.50 0:00:00.08 for inferences. % 2.34/2.50 0:00:00.00 for the backtracking. % 2.34/2.50 0:00:01.97 for the reduction. % 2.34/2.50 % 2.34/2.50 % 2.34/2.50 Here is a proof with depth 3, length 22 : % 2.34/2.50 % SZS output start Refutation % 2.34/2.50 17[0:Inp] || -> greater(vmul(vd511,vd509),vmul(vd512,vd509))*. % 2.34/2.50 19[0:Inp] || -> greater(vmul(vd508,vd511),vmul(vd509,vd511))*. % 2.34/2.50 21[0:Inp] || -> equal(vmul(u,v),vmul(v,u))*. % 2.34/2.50 30[0:Inp] || greater(u,v)* -> less(v,u). % 2.34/2.50 32[0:Inp] || greater(vmul(vd508,vd511),vmul(vd509,vd512))* -> . % 2.34/2.50 33[0:Inp] || less(u,v) greater(u,v)* -> . % 2.34/2.50 37[0:Inp] || -> less(u,v) greater(u,v)* equal(u,v). % 2.34/2.50 62[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 2.34/2.50 74[0:Rew:21.0,19.0] || -> greater(vmul(vd508,vd511),vmul(vd511,vd509))*. % 2.34/2.50 75[0:Rew:21.0,17.0] || -> greater(vmul(vd511,vd509),vmul(vd509,vd512))*. % 2.34/2.50 81[0:Res:37.1,32.0] || -> less(vmul(vd508,vd511),vmul(vd509,vd512))*r equal(vmul(vd509,vd512),vmul(vd508,vd511)). % 2.34/2.50 86[1:Spt:81.1] || -> equal(vmul(vd509,vd512),vmul(vd508,vd511))**. % 2.34/2.50 87[1:Rew:86.0,75.0] || -> greater(vmul(vd511,vd509),vmul(vd508,vd511))*. % 2.34/2.50 1195[0:Res:74.0,30.0] || -> less(vmul(vd511,vd509),vmul(vd508,vd511))*l. % 2.34/2.50 1449[0:Res:74.0,33.1] || less(vmul(vd508,vd511),vmul(vd511,vd509))*r -> . % 2.34/2.50 1450[1:Res:87.0,33.1] || less(vmul(vd511,vd509),vmul(vd508,vd511))*l -> . % 2.34/2.50 1493[1:MRR:1450.0,1195.0] || -> . % 2.34/2.50 1494[1:Spt:1493.0,81.1,86.0] || equal(vmul(vd509,vd512),vmul(vd508,vd511))** -> . % 2.34/2.50 1495[1:Spt:1493.0,81.0] || -> less(vmul(vd508,vd511),vmul(vd509,vd512))*r. % 2.34/2.50 1500[0:Res:75.0,30.0] || -> less(vmul(vd509,vd512),vmul(vd511,vd509))*l. % 2.34/2.50 7691[1:OCh:62.1,62.0,1500.0,1495.0] || -> less(vmul(vd508,vd511),vmul(vd511,vd509))*r. % 2.34/2.50 7703[1:MRR:7691.0,1449.0] || -> . % 2.34/2.50 % SZS output end Refutation % 2.34/2.50 Formulae used in the proof : holds_a40_conjunct2_a40_315_a41__a44__a32_515_a44__a32_1_a41_ holds_a40_conjunct1_a40_315_a41__a44__a32_514_a44__a32_0_a41_ ass_a40_cond_a40_270_a44__a32_0_a41__a44__a32_0_a41_ ass_a40_cond_a40_140_a44__a32_0_a41__a44__a32_0_a41_ holds_a40_conseq_conjunct2_a40_315_a41__a44__a32_516_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_ % 2.34/2.50 %------------------------------------------------------------------------------