TSTP Solution File: SWV030+1 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : SWV030+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 21:41:02 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV030+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 04:59:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.54
% 0.19/0.54 SPASS V 3.9
% 0.19/0.54 SPASS beiseite: Proof found.
% 0.19/0.54 % SZS status Theorem
% 0.19/0.54 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 SPASS derived 184 clauses, backtracked 0 clauses, performed 0 splits and kept 186 clauses.
% 0.19/0.54 SPASS allocated 85869 KBytes.
% 0.19/0.54 SPASS spent 0:00:00.19 on the problem.
% 0.19/0.54 0:00:00.04 for the input.
% 0.19/0.54 0:00:00.09 for the FLOTTER CNF translation.
% 0.19/0.54 0:00:00.00 for inferences.
% 0.19/0.54 0:00:00.00 for the backtracking.
% 0.19/0.54 0:00:00.02 for the reduction.
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 Here is a proof with depth 1, length 26 :
% 0.19/0.54 % SZS output start Refutation
% 0.19/0.54 1[0:Inp] || -> SkC0*.
% 0.19/0.54 5[0:Inp] || -> leq(n0,skc3)*r.
% 0.19/0.54 7[0:Inp] || -> leq(n0,pv7)*r.
% 0.19/0.54 8[0:Inp] || -> leq(n0,pv19)*r.
% 0.19/0.54 9[0:Inp] || -> leq(n0,pv20)*r.
% 0.19/0.54 10[0:Inp] || -> leq(n0,pv1376)*r.
% 0.19/0.54 11[0:Inp] || -> leq(pv1376,n3)*r.
% 0.19/0.54 54[0:Inp] || -> leq(pv7,minus(n410,n1))*r.
% 0.19/0.54 55[0:Inp] || -> leq(pv19,minus(n410,n1))*r.
% 0.19/0.54 56[0:Inp] || -> leq(pv20,minus(n330,n1))*r.
% 0.19/0.54 81[0:Inp] || -> equal(minus(u,n1),pred(u))**.
% 0.19/0.54 128[0:Inp] || leq(n0,u) leq(u,minus(pv1376,n1)) -> equal(a_select2(s_values7_init,u),init)**.
% 0.19/0.54 161[0:Inp] || equal(init,init) leq(n0,pv7) leq(n0,pv19) leq(n0,pv20) leq(n0,pv1376) leq(pv7,minus(n410,n1)) leq(pv19,minus(n410,n1)) leq(pv20,minus(n330,n1))*r leq(pv1376,n3) SkC0 -> leq(skc3,minus(pv1376,n1)).
% 0.19/0.54 162[0:Inp] || equal(a_select2(s_values7_init,skc3),init)** equal(init,init) leq(n0,pv7) leq(n0,pv19) leq(n0,pv20) leq(n0,pv1376) leq(pv7,minus(n410,n1)) leq(pv19,minus(n410,n1)) leq(pv20,minus(n330,n1)) leq(pv1376,n3) SkC0 -> .
% 0.19/0.54 179[0:Rew:81.0,56.0] || -> leq(pv20,pred(n330))*r.
% 0.19/0.54 180[0:Rew:81.0,55.0] || -> leq(pv19,pred(n410))*r.
% 0.19/0.54 181[0:Rew:81.0,54.0] || -> leq(pv7,pred(n410))*r.
% 0.19/0.54 182[0:Rew:81.0,128.1] || leq(u,pred(pv1376)) leq(n0,u) -> equal(a_select2(s_values7_init,u),init)**.
% 0.19/0.54 184[0:Obv:162.1] || equal(a_select2(s_values7_init,skc3),init)** leq(n0,pv7) leq(n0,pv19) leq(n0,pv20) leq(n0,pv1376) leq(pv7,minus(n410,n1)) leq(pv19,minus(n410,n1)) leq(pv20,minus(n330,n1)) leq(pv1376,n3) SkC0 -> .
% 0.19/0.54 185[0:Rew:81.0,184.7,81.0,184.6,81.0,184.5] || equal(a_select2(s_values7_init,skc3),init)** leq(n0,pv7) leq(n0,pv19) leq(n0,pv20) leq(n0,pv1376) leq(pv7,pred(n410)) leq(pv19,pred(n410)) leq(pv20,pred(n330)) leq(pv1376,n3) SkC0 -> .
% 0.19/0.54 186[0:MRR:185.1,185.2,185.3,185.4,185.5,185.6,185.7,185.8,185.9,7.0,8.0,9.0,10.0,181.0,180.0,179.0,11.0,1.0] || equal(a_select2(s_values7_init,skc3),init)** -> .
% 0.19/0.54 187[0:Obv:161.0] || leq(n0,pv7) leq(n0,pv19) leq(n0,pv20) leq(n0,pv1376) leq(pv7,minus(n410,n1)) leq(pv19,minus(n410,n1)) leq(pv20,minus(n330,n1))*r leq(pv1376,n3) SkC0 -> leq(skc3,minus(pv1376,n1)).
% 0.19/0.54 188[0:Rew:81.0,187.9,81.0,187.6,81.0,187.5,81.0,187.4] || leq(n0,pv7) leq(n0,pv19) leq(n0,pv20) leq(n0,pv1376) leq(pv7,pred(n410)) leq(pv19,pred(n410)) leq(pv20,pred(n330))*r leq(pv1376,n3) SkC0 -> leq(skc3,pred(pv1376)).
% 0.19/0.54 189[0:MRR:188.0,188.1,188.2,188.3,188.4,188.5,188.6,188.7,188.8,7.0,8.0,9.0,10.0,181.0,180.0,179.0,11.0,1.0] || -> leq(skc3,pred(pv1376))*r.
% 0.19/0.54 190[0:Res:182.2,186.0] || leq(n0,skc3) leq(skc3,pred(pv1376))*r -> .
% 0.19/0.54 379[0:MRR:190.0,190.1,5.0,189.0] || -> .
% 0.19/0.54 % SZS output end Refutation
% 0.19/0.54 Formulae used in the proof : gauss_init_0033 gt_succ leq_succ_gt_equiv pred_minus_1
% 0.19/0.54
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