0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : leancop_casc.sh %s %d 0.03/0.25 % Computer : n031.star.cs.uiowa.edu 0.03/0.25 % Model : x86_64 x86_64 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.25 % Memory : 32218.625MB 0.03/0.25 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.25 % CPULimit : 300 0.03/0.25 % DateTime : Sat Jul 14 04:20:55 CDT 2018 0.03/0.25 % CPUTime : 165.73/163.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 165.73/163.34 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 165.73/163.34 165.73/163.34 %----------------------------------------------------- 165.73/163.34 fof(cl5_nebula_init_0011, conjecture, ! [_148936] : (leq(_148936, pv40) & leq(n0, _148936) => init = a_select2(mu_init, _148936)) <= leq(n0, pv40) & ! [_148987] : (leq(n0, _148987) & leq(_148987, pred(pv40)) => init = a_select2(mu_init, _148987)) & ! [_149032] : (init = a_select2(sigma_init, _149032) <= leq(n0, _149032) & leq(_149032, pred(pv40))) & (! [_149077] : (init = a_select2(muold_init, _149077) <= leq(n0, _149077) & leq(_149077, n4)) <= gt(loopcounter, n1)) & (! [_149128] : (init = a_select2(sigmaold_init, _149128) <= leq(n0, _149128) & leq(_149128, n4)) <= gt(loopcounter, n1)) & (! [_149179] : (leq(_149179, n4) & leq(n0, _149179) => a_select2(rhoold_init, _149179) = init) <= gt(loopcounter, n1)) & ! [_149230] : (init = a_select3(center_init, _149230, n0) <= leq(_149230, n4) & leq(n0, _149230)) & ! [_149274] : (init = a_select2(rho_init, _149274) <= leq(n0, _149274) & leq(_149274, n4)) & ! [_149315] : (! [_149323] : (a_select3(q_init, _149315, _149323) = init <= leq(_149323, n4) & leq(n0, _149323)) <= leq(n0, _149315) & leq(_149315, n135299)) & leq(pv40, n4) & a_select2(sigma_init, pv40) = init & init = a_select2(mu_init, pv40), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cl5_nebula_init_0011)). 165.73/163.34 fof(leq_gt2, axiom, ! [_150647, _150650] : ((! _150647) = _150650 & leq(_150647, _150650) => gt(_150650, _150647)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', leq_gt2)). 165.73/163.34 fof(totality, axiom, ! [_150824, _150827] : (_150824 = _150827 | gt(_150827, _150824) | gt(_150824, _150827)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', totality)). 165.73/163.34 fof(leq_gt_pred, axiom, ! [_151021, _151024] : (gt(_151024, _151021) <=> leq(_151021, pred(_151024))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', leq_gt_pred)). 165.73/163.34 165.73/163.34 cnf(1, plain, [-(leq(42 ^ [], pv40))], clausify(cl5_nebula_init_0011)). 165.73/163.34 cnf(2, plain, [-(leq(n0, 42 ^ []))], clausify(cl5_nebula_init_0011)). 165.73/163.34 cnf(3, plain, [init = a_select2(mu_init, 42 ^ [])], clausify(cl5_nebula_init_0011)). 165.73/163.34 cnf(4, plain, [-(init = a_select2(mu_init, _111927)), leq(n0, _111927), leq(_111927, pred(pv40))], clausify(cl5_nebula_init_0011)). 165.73/163.34 cnf(5, plain, [-(init = a_select2(mu_init, pv40))], clausify(cl5_nebula_init_0011)). 165.73/163.34 cnf(6, plain, [-(_45138 = _45138)], theory(equality)). 165.73/163.34 cnf(7, plain, [_45291 = _45336, -(_45336 = _45291)], theory(equality)). 165.73/163.34 cnf(8, plain, [-(_45570 = _45681), _45570 = _45626, _45626 = _45681], theory(equality)). 165.73/163.34 cnf(9, plain, [-(gt(_46737, _46868)), gt(_46670, _46803), _46670 = _46737, _46803 = _46868], theory(equality)). 165.73/163.34 cnf(10, plain, [-(a_select2(_48592, _48725) = a_select2(_48659, _48790)), _48592 = _48659, _48725 = _48790], theory(equality)). 165.73/163.34 cnf(11, plain, [-(gt(_74922, _74869)), -(_74869 = _74922), leq(_74869, _74922)], clausify(leq_gt2)). 165.73/163.34 cnf(12, plain, [-(_75285 = _75336), -(gt(_75336, _75285)), -(gt(_75285, _75336))], clausify(totality)). 165.73/163.34 cnf(13, plain, [gt(_95149, _95102), -(leq(_95102, pred(_95149)))], clausify(leq_gt_pred)). 165.73/163.34 165.73/163.34 cnf('1',plain,[init = a_select2(mu_init, 42 ^ [])],start(3)). 165.73/163.34 cnf('1.1',plain,[-(init = a_select2(mu_init, 42 ^ [])), leq(n0, 42 ^ []), leq(42 ^ [], pred(pv40))],extension(4,bind([[_111927], [42 ^ []]]))). 165.73/163.34 cnf('1.1.1',plain,[-(leq(n0, 42 ^ []))],extension(2)). 165.73/163.34 cnf('1.1.2',plain,[-(leq(42 ^ [], pred(pv40))), gt(pv40, 42 ^ [])],extension(13,bind([[_95149, _95102], [pv40, 42 ^ []]]))). 165.73/163.34 cnf('1.1.2.1',plain,[-(gt(pv40, 42 ^ [])), -(pv40 = 42 ^ []), -(gt(42 ^ [], pv40))],extension(12,bind([[_75336, _75285], [42 ^ [], pv40]]))). 165.73/163.34 cnf('1.1.2.1.1',plain,[pv40 = 42 ^ [], -(a_select2(mu_init, pv40) = a_select2(mu_init, 42 ^ [])), mu_init = mu_init],extension(10,bind([[_48725, _48790, _48592, _48659], [pv40, 42 ^ [], mu_init, mu_init]]))). 165.73/163.34 cnf('1.1.2.1.1.1',plain,[a_select2(mu_init, pv40) = a_select2(mu_init, 42 ^ []), -(init = a_select2(mu_init, 42 ^ [])), init = a_select2(mu_init, pv40)],extension(8,bind([[_45681, _45570, _45626], [a_select2(mu_init, 42 ^ []), init, a_select2(mu_init, pv40)]]))). 165.73/163.34 cnf('1.1.2.1.1.1.1',plain,[init = a_select2(mu_init, 42 ^ [])],extension(3)). 165.73/163.34 cnf('1.1.2.1.1.1.2',plain,[-(init = a_select2(mu_init, pv40))],extension(5)). 165.73/163.34 cnf('1.1.2.1.1.2',plain,[-(mu_init = mu_init)],extension(6,bind([[_45138], [mu_init]]))). 165.73/163.34 cnf('1.1.2.1.2',plain,[gt(42 ^ [], pv40), -(gt(pv40, 42 ^ [])), 42 ^ [] = pv40, pv40 = 42 ^ []],extension(9,bind([[_46670, _46737, _46803, _46868], [42 ^ [], pv40, pv40, 42 ^ []]]))). 165.73/163.34 cnf('1.1.2.1.2.1',plain,[gt(pv40, 42 ^ [])],reduction('1.1.2')). 165.73/163.34 cnf('1.1.2.1.2.2',plain,[-(42 ^ [] = pv40), -(gt(pv40, 42 ^ [])), leq(42 ^ [], pv40)],extension(11,bind([[_74869, _74922], [42 ^ [], pv40]]))). 165.73/163.34 cnf('1.1.2.1.2.2.1',plain,[gt(pv40, 42 ^ [])],lemmata('1.1.2.1.2')). 165.73/163.34 cnf('1.1.2.1.2.2.2',plain,[-(leq(42 ^ [], pv40))],extension(1)). 165.73/163.34 cnf('1.1.2.1.2.3',plain,[-(pv40 = 42 ^ []), 42 ^ [] = pv40],extension(7,bind([[_45291, _45336], [42 ^ [], pv40]]))). 165.73/163.34 cnf('1.1.2.1.2.3.1',plain,[-(42 ^ [] = pv40)],lemmata('1.1.2.1.2')). 165.73/163.34 %----------------------------------------------------- 165.73/163.34 165.73/163.34 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 165.73/163.35 EOF