%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV048+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n007.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 : Wed Jul 20 21:41:06 EDT 2022 % Result : Theorem 0.60s 0.80s % Output : Refutation 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SWV048+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.11/0.12 % Command : run_spass %d %s % 0.11/0.33 % Computer : n007.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Thu Jun 16 00:59:41 EDT 2022 % 0.11/0.33 % CPUTime : % 0.60/0.80 % 0.60/0.80 SPASS V 3.9 % 0.60/0.80 SPASS beiseite: Proof found. % 0.60/0.80 % SZS status Theorem % 0.60/0.80 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.60/0.80 SPASS derived 425 clauses, backtracked 233 clauses, performed 2 splits and kept 729 clauses. % 0.60/0.80 SPASS allocated 86422 KBytes. % 0.60/0.80 SPASS spent 0:00:00.45 on the problem. % 0.60/0.80 0:00:00.04 for the input. % 0.60/0.80 0:00:00.07 for the FLOTTER CNF translation. % 0.60/0.80 0:00:00.00 for inferences. % 0.60/0.80 0:00:00.01 for the backtracking. % 0.60/0.80 0:00:00.24 for the reduction. % 0.60/0.80 % 0.60/0.80 % 0.60/0.80 Here is a proof with depth 1, length 22 : % 0.60/0.80 % SZS output start Refutation % 0.60/0.80 1[0:Inp] || -> true__dfg*. % 0.60/0.80 2[0:Inp] || -> leq(n0,pv35)*r. % 0.60/0.80 32[0:Inp] || true__dfg SkC0* -> . % 0.60/0.80 36[0:Inp] || -> equal(succ(tptp_minus_1),n0)**. % 0.60/0.80 38[0:Inp] || -> leq(pv35,minus(n5,n1))*r. % 0.60/0.80 58[0:Inp] || -> equal(pred(succ(u)),u)**. % 0.60/0.80 61[0:Inp] || -> equal(sum__dfg(n0,tptp_minus_1,u),n0)**. % 0.60/0.80 62[0:Inp] || -> equal(sum__dfg(n0,tptp_minus_1,u),tptp_float_0_0)**. % 0.60/0.80 65[0:Inp] || -> equal(minus(u,n1),pred(u))**. % 0.60/0.80 105[0:Inp] || -> equal(sum__dfg(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),pv78)**. % 0.60/0.80 135[0:Inp] || equal(sum__dfg(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x__dfg,pv81))),n0)** equal(sum__dfg(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),pv78) leq(n0,pv35) leq(pv35,minus(n5,n1)) -> SkC0. % 0.60/0.80 148[0:MRR:32.0,1.0] || SkC0* -> . % 0.60/0.80 151[0:Rew:62.0,61.0] || -> equal(tptp_float_0_0,n0)**. % 0.60/0.80 152[0:Rew:151.0,62.0] || -> equal(sum__dfg(n0,tptp_minus_1,u),n0)**. % 0.60/0.80 163[0:Rew:65.0,38.0] || -> leq(pv35,pred(n5))*r. % 0.60/0.80 164[0:Rew:65.0,105.0] || -> equal(sum__dfg(n0,pred(n135300),a_select3(q,pv79,pv35)),pv78)**. % 0.60/0.80 165[0:Rew:65.0,135.3,164.0,135.1,65.0,135.1,65.0,135.0] || equal(sum__dfg(n0,pred(n0),times(a_select3(q,pv81,pv35),a_select2(x__dfg,pv81))),n0)** equal(pv78,pv78) leq(n0,pv35) leq(pv35,pred(n5)) -> SkC0. % 0.60/0.80 166[0:Obv:165.1] || equal(sum__dfg(n0,pred(n0),times(a_select3(q,pv81,pv35),a_select2(x__dfg,pv81))),n0)** leq(n0,pv35) leq(pv35,pred(n5)) -> SkC0. % 0.60/0.80 167[0:MRR:166.1,166.2,166.3,2.0,163.0,148.0] || equal(sum__dfg(n0,pred(n0),times(a_select3(q,pv81,pv35),a_select2(x__dfg,pv81))),n0)** -> . % 0.60/0.80 753[0:SpR:36.0,58.0] || -> equal(pred(n0),tptp_minus_1)**. % 0.60/0.80 839[0:Rew:152.0,167.0,753.0,167.0] || equal(n0,n0)* -> . % 0.60/0.80 840[0:Obv:839.0] || -> . % 0.60/0.80 % SZS output end Refutation % 0.60/0.80 Formulae used in the proof : ttrue cl5_nebula_norm_0016 succ_tptp_minus_1 pred_succ sum_plus_base sum_plus_base_float pred_minus_1 % 0.60/0.80 %------------------------------------------------------------------------------