0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : leancop_casc.sh %s %d 0.12/0.33 % Computer : n012.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 : 960 0.12/0.33 % DateTime : Thu Jul 2 07:49:52 EDT 2020 0.12/0.33 % CPUTime : 4.32/4.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.32/4.53 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.40/4.54 4.40/4.54 %----------------------------------------------------- 4.40/4.54 fof(gauss_init_0037, conjecture, a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv9, pv10) = init & ! [_216734] : (! [_216742] : (init = a_select3(simplex7_init, _216742, _216734) <= leq(_216742, n3) & leq(n0, _216742)) <= leq(n0, _216734) & leq(_216734, n2)) & ! [_216806] : (leq(_216806, n3) & leq(n0, _216806) => a_select2(s_values7_init, _216806) = init) & leq(pv9, minus(n410, n1)) & leq(n0, pv9) & init = init <= leq(n0, pv10) & ! [_216890] : (leq(_216890, n3) & leq(n0, _216890) => init = a_select2(s_values7_init, _216890)) & ! [_216931] : (leq(n0, _216931) & leq(_216931, n2) => ! [_216959] : (init = a_select3(simplex7_init, _216959, _216931) <= leq(_216959, n3) & leq(n0, _216959))) & leq(pv10, minus(n330, n1)) & leq(pv9, minus(n410, n1)) & leq(n0, pv9) & init = init, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gauss_init_0037)). 4.40/4.54 fof(const_array2_select, axiom, ! [_218311, _218314, _218317, _218320, _218323, _218326, _218329] : (a_select3(tptp_const_array2(dim(_218314, _218317), dim(_218323, _218326), _218329), _218311, _218320) = _218329 <= leq(_218323, _218320) & leq(_218320, _218326) & leq(_218311, _218317) & leq(_218314, _218311)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', const_array2_select)). 4.40/4.54 4.40/4.54 cnf(1, plain, [-(32 ^ []), a_select2(s_values7_init, 31 ^ []) = init], clausify(gauss_init_0037)). 4.40/4.54 cnf(2, plain, [-(32 ^ []), -(leq(n0, 31 ^ []))], clausify(gauss_init_0037)). 4.40/4.54 cnf(3, plain, [-(32 ^ []), -(leq(31 ^ [], n3))], clausify(gauss_init_0037)). 4.40/4.54 cnf(4, plain, [-(30 ^ []), init = a_select3(simplex7_init, 29 ^ [], 28 ^ [])], clausify(gauss_init_0037)). 4.40/4.54 cnf(5, plain, [-(30 ^ []), -(leq(n0, 29 ^ []))], clausify(gauss_init_0037)). 4.40/4.54 cnf(6, plain, [-(30 ^ []), -(leq(29 ^ [], n3))], clausify(gauss_init_0037)). 4.40/4.54 cnf(7, plain, [-(30 ^ []), -(leq(28 ^ [], n2))], clausify(gauss_init_0037)). 4.40/4.54 cnf(8, plain, [-(30 ^ []), -(leq(n0, 28 ^ []))], clausify(gauss_init_0037)). 4.40/4.54 cnf(9, plain, [a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv9, pv10) = init, 30 ^ [], 32 ^ [], leq(pv9, minus(n410, n1)), leq(n0, pv9), init = init], clausify(gauss_init_0037)). 4.40/4.54 cnf(10, plain, [-(leq(n0, pv10))], clausify(gauss_init_0037)). 4.40/4.54 cnf(11, plain, [-(init = a_select2(s_values7_init, _112837)), leq(_112837, n3), leq(n0, _112837)], clausify(gauss_init_0037)). 4.40/4.54 cnf(12, plain, [-(leq(pv10, minus(n330, n1)))], clausify(gauss_init_0037)). 4.40/4.54 cnf(13, plain, [-(leq(pv9, minus(n410, n1)))], clausify(gauss_init_0037)). 4.40/4.54 cnf(14, plain, [-(leq(n0, pv9))], clausify(gauss_init_0037)). 4.40/4.54 cnf(15, plain, [-(init = init)], clausify(gauss_init_0037)). 4.40/4.54 cnf(16, plain, [leq(_113137, n2), leq(n0, _113137), -(init = a_select3(simplex7_init, _113337, _113137)), leq(_113337, n3), leq(n0, _113337)], clausify(gauss_init_0037)). 4.40/4.54 cnf(17, plain, [_45017 = _45062, -(_45062 = _45017)], theory(equality)). 4.40/4.54 cnf(18, plain, [-(a_select3(tptp_const_array2(dim(_99219, _99320), dim(_99519, _99617), _99714), _99117, _99420) = _99714), leq(_99519, _99420), leq(_99420, _99617), leq(_99117, _99320), leq(_99219, _99117)], clausify(const_array2_select)). 4.40/4.54 4.40/4.54 cnf('1',plain,[a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv9, pv10) = init, 30 ^ [], 32 ^ [], leq(pv9, minus(n410, n1)), leq(n0, pv9), init = init],start(9)). 4.40/4.54 cnf('1.1',plain,[-(a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv9, pv10) = init), leq(n0, pv10), leq(pv10, minus(n330, n1)), leq(pv9, minus(n410, n1)), leq(n0, pv9)],extension(18,bind([[_99714, _99519, _99420, _99617, _99320, _99219, _99117], [init, n0, pv10, minus(n330, n1), minus(n410, n1), n0, pv9]]))). 4.40/4.54 cnf('1.1.1',plain,[-(leq(n0, pv10))],extension(10)). 4.40/4.54 cnf('1.1.2',plain,[-(leq(pv10, minus(n330, n1)))],extension(12)). 4.40/4.54 cnf('1.1.3',plain,[-(leq(pv9, minus(n410, n1)))],extension(13)). 4.40/4.54 cnf('1.1.4',plain,[-(leq(n0, pv9))],extension(14)). 4.40/4.54 cnf('1.2',plain,[-(30 ^ []), init = a_select3(simplex7_init, 29 ^ [], 28 ^ [])],extension(4)). 4.40/4.54 cnf('1.2.1',plain,[-(init = a_select3(simplex7_init, 29 ^ [], 28 ^ [])), leq(28 ^ [], n2), leq(n0, 28 ^ []), leq(29 ^ [], n3), leq(n0, 29 ^ [])],extension(16,bind([[_113137, _113337], [28 ^ [], 29 ^ []]]))). 4.40/4.54 cnf('1.2.1.1',plain,[-(leq(28 ^ [], n2)), -(30 ^ [])],extension(7)). 4.40/4.54 cnf('1.2.1.1.1',plain,[30 ^ []],reduction('1')). 4.40/4.54 cnf('1.2.1.2',plain,[-(leq(n0, 28 ^ [])), -(30 ^ [])],extension(8)). 4.40/4.54 cnf('1.2.1.2.1',plain,[30 ^ []],reduction('1')). 4.40/4.54 cnf('1.2.1.3',plain,[-(leq(29 ^ [], n3)), -(30 ^ [])],extension(6)). 4.40/4.54 cnf('1.2.1.3.1',plain,[30 ^ []],reduction('1')). 4.40/4.54 cnf('1.2.1.4',plain,[-(leq(n0, 29 ^ [])), -(30 ^ [])],extension(5)). 4.40/4.54 cnf('1.2.1.4.1',plain,[30 ^ []],reduction('1')). 4.40/4.54 cnf('1.3',plain,[-(32 ^ []), a_select2(s_values7_init, 31 ^ []) = init],extension(1)). 4.40/4.54 cnf('1.3.1',plain,[-(a_select2(s_values7_init, 31 ^ []) = init), init = a_select2(s_values7_init, 31 ^ [])],extension(17,bind([[_45017, _45062], [init, a_select2(s_values7_init, 31 ^ [])]]))). 4.40/4.54 cnf('1.3.1.1',plain,[-(init = a_select2(s_values7_init, 31 ^ [])), leq(31 ^ [], n3), leq(n0, 31 ^ [])],extension(11,bind([[_112837], [31 ^ []]]))). 4.40/4.54 cnf('1.3.1.1.1',plain,[-(leq(31 ^ [], n3)), -(32 ^ [])],extension(3)). 4.40/4.54 cnf('1.3.1.1.1.1',plain,[32 ^ []],reduction('1')). 4.40/4.54 cnf('1.3.1.1.2',plain,[-(leq(n0, 31 ^ [])), -(32 ^ [])],extension(2)). 4.40/4.54 cnf('1.3.1.1.2.1',plain,[32 ^ []],reduction('1')). 4.40/4.54 cnf('1.4',plain,[-(leq(pv9, minus(n410, n1)))],extension(13)). 4.40/4.54 cnf('1.5',plain,[-(leq(n0, pv9))],extension(14)). 4.40/4.54 cnf('1.6',plain,[-(init = init)],extension(15)). 4.40/4.54 %----------------------------------------------------- 4.40/4.54 4.40/4.54 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p 4.40/4.55 EOF