%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV032+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% 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 19:49:19 EDT 2022
% Result : Theorem 0.41s 1.42s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV032+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 23:57:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.41/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.43
% 0.41/1.43 %-----------------------------------------------------
% 0.41/1.43 fof(gauss_init_0041, conjecture, init = init & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ! [_222726] : (leq(n0, _222726) & leq(_222726, n2) => ! [_222754] : (leq(n0, _222754) & leq(_222754, n3) => a_select3(simplex7_init, _222754, _222726) = init)) & ! [_222798] : (leq(n0, _222798) & leq(_222798, minus(pv1376, n1)) => a_select2(s_values7_init, _222798) = init) => init = init & a_select3(simplex7_init, pv1376, n0) = init & a_select3(simplex7_init, pv1376, n1) = init & a_select3(simplex7_init, pv1376, n2) = init & a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv19, pv20) = init & leq(n0, pv19) & leq(n0, pv1376) & leq(pv19, minus(n410, n1)) & leq(pv1376, n3) & ! [_223001] : (leq(n0, _223001) & leq(_223001, n2) => ! [_223029] : (leq(n0, _223029) & leq(_223029, n3) => a_select3(simplex7_init, _223029, _223001) = init)) & ! [_223073] : (leq(n0, _223073) & leq(_223073, minus(pv1376, n1)) => a_select2(s_values7_init, _223073) = init), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gauss_init_0041)).
% 0.41/1.43 fof(gt_1_0, axiom, gt(n1, n0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gt_1_0)).
% 0.41/1.43 fof(gt_2_0, axiom, gt(n2, n0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gt_2_0)).
% 0.41/1.43 fof(gt_2_1, axiom, gt(n2, n1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gt_2_1)).
% 0.41/1.43 fof(reflexivity_leq, axiom, ! [_224477] : leq(_224477, _224477), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', reflexivity_leq)).
% 0.41/1.43 fof(leq_gt1, axiom, ! [_224589, _224592] : (gt(_224592, _224589) => leq(_224589, _224592)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', leq_gt1)).
% 0.41/1.43 fof(const_array2_select, axiom, ! [_224745, _224748, _224751, _224754, _224757, _224760, _224763] : (leq(_224748, _224745) & leq(_224745, _224751) & leq(_224757, _224754) & leq(_224754, _224760) => a_select3(tptp_const_array2(dim(_224748, _224751), dim(_224757, _224760), _224763), _224745, _224754) = _224763), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', const_array2_select)).
% 0.41/1.43
% 0.41/1.43 cnf(1, plain, [-(32 ^ []), a_select2(s_values7_init, 31 ^ []) = init], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(2, plain, [-(32 ^ []), -(leq(31 ^ [], minus(pv1376, n1)))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(3, plain, [-(32 ^ []), -(leq(n0, 31 ^ []))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(4, plain, [-(30 ^ []), a_select3(simplex7_init, 29 ^ [], 28 ^ []) = init], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(5, plain, [-(30 ^ []), -(leq(29 ^ [], n3))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(6, plain, [-(30 ^ []), -(leq(n0, 29 ^ []))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(7, plain, [-(30 ^ []), -(leq(28 ^ [], n2))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(8, plain, [-(30 ^ []), -(leq(n0, 28 ^ []))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(9, plain, [init = init, a_select3(simplex7_init, pv1376, n0) = init, a_select3(simplex7_init, pv1376, n1) = init, a_select3(simplex7_init, pv1376, n2) = init, a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv19, pv20) = init, leq(n0, pv19), leq(n0, pv1376), leq(pv19, minus(n410, n1)), leq(pv1376, n3), 30 ^ [], 32 ^ []], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(10, plain, [-(init = init)], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(11, plain, [-(leq(n0, pv19))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(12, plain, [-(leq(n0, pv20))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(13, plain, [-(leq(n0, pv1376))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(14, plain, [-(leq(pv19, minus(n410, n1)))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(15, plain, [-(leq(pv20, minus(n330, n1)))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(16, plain, [-(leq(pv1376, n3))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(17, plain, [-(a_select2(s_values7_init, _114437) = init), leq(n0, _114437), leq(_114437, minus(pv1376, n1))], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(18, plain, [leq(_113880, n2), leq(n0, _113880), -(a_select3(simplex7_init, _114080, _113880) = init), leq(n0, _114080), leq(_114080, n3)], clausify(gauss_init_0041)).
% 0.41/1.43 cnf(19, plain, [-(gt(n1, n0))], clausify(gt_1_0)).
% 0.41/1.43 cnf(20, plain, [-(gt(n2, n0))], clausify(gt_2_0)).
% 0.41/1.43 cnf(21, plain, [-(gt(n2, n1))], clausify(gt_2_1)).
% 0.41/1.43 cnf(22, plain, [-(leq(_62805, _62805))], clausify(reflexivity_leq)).
% 0.41/1.43 cnf(23, plain, [gt(_64111, _64066), -(leq(_64066, _64111))], clausify(leq_gt1)).
% 0.41/1.43 cnf(24, plain, [-(a_select3(tptp_const_array2(dim(_67476, _67577), dim(_67776, _67874), _67971), _67374, _67677) = _67971), leq(_67476, _67374), leq(_67374, _67577), leq(_67776, _67677), leq(_67677, _67874)], clausify(const_array2_select)).
% 0.41/1.43
% 0.41/1.43 cnf('1',plain,[init = init, a_select3(simplex7_init, pv1376, n0) = init, a_select3(simplex7_init, pv1376, n1) = init, a_select3(simplex7_init, pv1376, n2) = init, a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv19, pv20) = init, leq(n0, pv19), leq(n0, pv1376), leq(pv19, minus(n410, n1)), leq(pv1376, n3), 30 ^ [], 32 ^ []],start(9)).
% 0.41/1.43 cnf('1.1',plain,[-(init = init)],extension(10)).
% 0.41/1.43 cnf('1.2',plain,[-(a_select3(simplex7_init, pv1376, n0) = init), leq(n0, n2), leq(n0, n0), leq(n0, pv1376), leq(pv1376, n3)],extension(18,bind([[_113880, _114080], [n0, pv1376]]))).
% 0.41/1.43 cnf('1.2.1',plain,[-(leq(n0, n2)), gt(n2, n0)],extension(23,bind([[_64111, _64066], [n2, n0]]))).
% 0.41/1.43 cnf('1.2.1.1',plain,[-(gt(n2, n0))],extension(20)).
% 0.41/1.43 cnf('1.2.2',plain,[-(leq(n0, n0))],extension(22,bind([[_62805], [n0]]))).
% 0.41/1.43 cnf('1.2.3',plain,[-(leq(n0, pv1376))],extension(13)).
% 0.41/1.43 cnf('1.2.4',plain,[-(leq(pv1376, n3))],extension(16)).
% 0.41/1.43 cnf('1.3',plain,[-(a_select3(simplex7_init, pv1376, n1) = init), leq(n1, n2), leq(n0, n1), leq(n0, pv1376), leq(pv1376, n3)],extension(18,bind([[_113880, _114080], [n1, pv1376]]))).
% 0.41/1.43 cnf('1.3.1',plain,[-(leq(n1, n2)), gt(n2, n1)],extension(23,bind([[_64111, _64066], [n2, n1]]))).
% 0.41/1.43 cnf('1.3.1.1',plain,[-(gt(n2, n1))],extension(21)).
% 0.41/1.43 cnf('1.3.2',plain,[-(leq(n0, n1)), gt(n1, n0)],extension(23,bind([[_64111, _64066], [n1, n0]]))).
% 0.41/1.43 cnf('1.3.2.1',plain,[-(gt(n1, n0))],extension(19)).
% 0.41/1.43 cnf('1.3.3',plain,[-(leq(n0, pv1376))],extension(13)).
% 0.41/1.43 cnf('1.3.4',plain,[-(leq(pv1376, n3))],extension(16)).
% 0.41/1.43 cnf('1.4',plain,[-(a_select3(simplex7_init, pv1376, n2) = init), leq(n2, n2), leq(n0, n2), leq(n0, pv1376), leq(pv1376, n3)],extension(18,bind([[_113880, _114080], [n2, pv1376]]))).
% 0.41/1.43 cnf('1.4.1',plain,[-(leq(n2, n2))],extension(22,bind([[_62805], [n2]]))).
% 0.41/1.43 cnf('1.4.2',plain,[-(leq(n0, n2)), gt(n2, n0)],extension(23,bind([[_64111, _64066], [n2, n0]]))).
% 0.41/1.43 cnf('1.4.2.1',plain,[-(gt(n2, n0))],extension(20)).
% 0.41/1.43 cnf('1.4.3',plain,[-(leq(n0, pv1376))],extension(13)).
% 0.41/1.43 cnf('1.4.4',plain,[-(leq(pv1376, n3))],extension(16)).
% 0.41/1.43 cnf('1.5',plain,[-(a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv19, pv20) = init), leq(n0, pv19), leq(pv19, minus(n410, n1)), leq(n0, pv20), leq(pv20, minus(n330, n1))],extension(24,bind([[_67971, _67476, _67374, _67577, _67776, _67677, _67874], [init, n0, pv19, minus(n410, n1), n0, pv20, minus(n330, n1)]]))).
% 0.41/1.43 cnf('1.5.1',plain,[-(leq(n0, pv19))],extension(11)).
% 0.41/1.43 cnf('1.5.2',plain,[-(leq(pv19, minus(n410, n1)))],extension(14)).
% 0.41/1.43 cnf('1.5.3',plain,[-(leq(n0, pv20))],extension(12)).
% 0.41/1.43 cnf('1.5.4',plain,[-(leq(pv20, minus(n330, n1)))],extension(15)).
% 0.41/1.43 cnf('1.6',plain,[-(leq(n0, pv19))],extension(11)).
% 0.41/1.43 cnf('1.7',plain,[-(leq(n0, pv1376))],extension(13)).
% 0.41/1.43 cnf('1.8',plain,[-(leq(pv19, minus(n410, n1)))],extension(14)).
% 0.41/1.43 cnf('1.9',plain,[-(leq(pv1376, n3))],extension(16)).
% 0.41/1.43 cnf('1.10',plain,[-(30 ^ []), a_select3(simplex7_init, 29 ^ [], 28 ^ []) = init],extension(4)).
% 0.41/1.43 cnf('1.10.1',plain,[-(a_select3(simplex7_init, 29 ^ [], 28 ^ []) = init), leq(28 ^ [], n2), leq(n0, 28 ^ []), leq(n0, 29 ^ []), leq(29 ^ [], n3)],extension(18,bind([[_113880, _114080], [28 ^ [], 29 ^ []]]))).
% 0.41/1.43 cnf('1.10.1.1',plain,[-(leq(28 ^ [], n2)), -(30 ^ [])],extension(7)).
% 0.41/1.43 cnf('1.10.1.1.1',plain,[30 ^ []],reduction('1')).
% 0.41/1.43 cnf('1.10.1.2',plain,[-(leq(n0, 28 ^ [])), -(30 ^ [])],extension(8)).
% 0.41/1.43 cnf('1.10.1.2.1',plain,[30 ^ []],reduction('1')).
% 0.41/1.43 cnf('1.10.1.3',plain,[-(leq(n0, 29 ^ [])), -(30 ^ [])],extension(6)).
% 0.41/1.43 cnf('1.10.1.3.1',plain,[30 ^ []],reduction('1')).
% 0.41/1.43 cnf('1.10.1.4',plain,[-(leq(29 ^ [], n3)), -(30 ^ [])],extension(5)).
% 0.41/1.43 cnf('1.10.1.4.1',plain,[30 ^ []],reduction('1')).
% 0.41/1.43 cnf('1.11',plain,[-(32 ^ []), a_select2(s_values7_init, 31 ^ []) = init],extension(1)).
% 0.41/1.43 cnf('1.11.1',plain,[-(a_select2(s_values7_init, 31 ^ []) = init), leq(n0, 31 ^ []), leq(31 ^ [], minus(pv1376, n1))],extension(17,bind([[_114437], [31 ^ []]]))).
% 0.41/1.43 cnf('1.11.1.1',plain,[-(leq(n0, 31 ^ [])), -(32 ^ [])],extension(3)).
% 0.41/1.43 cnf('1.11.1.1.1',plain,[32 ^ []],reduction('1')).
% 0.41/1.43 cnf('1.11.1.2',plain,[-(leq(31 ^ [], minus(pv1376, n1))), -(32 ^ [])],extension(2)).
% 0.41/1.43 cnf('1.11.1.2.1',plain,[32 ^ []],reduction('1')).
% 0.41/1.43 %-----------------------------------------------------
% 0.41/1.44
% 0.41/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------