%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV027+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 19:49:18 EDT 2022
% Result : Theorem 0.42s 1.43s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV027+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.13 % Command : leancop_casc.sh %s %d
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Wed Jun 15 05:35:49 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.42/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.44
% 0.42/1.44 %-----------------------------------------------------
% 0.42/1.44 fof(gauss_init_0021, conjecture, init = init & s_best7_init = init & s_sworst7_init = init & s_worst7_init = init & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ! [_228679] : (leq(n0, _228679) & leq(_228679, n2) => ! [_228707] : (leq(n0, _228707) & leq(_228707, n3) => a_select3(simplex7_init, _228707, _228679) = init)) & ! [_228751] : (leq(n0, _228751) & leq(_228751, n3) => a_select2(s_values7_init, _228751) = init) & ! [_228792] : (leq(n0, _228792) & leq(_228792, n2) => a_select2(s_center7_init, _228792) = init) & ! [_228833] : (leq(n0, _228833) & leq(_228833, minus(n3, n1)) => a_select2(s_try7_init, _228833) = init) & (gt(loopcounter, n1) => pvar1400_init = init & pvar1401_init = init & pvar1402_init = init) => init = init & s_best7_init = init & s_sworst7_init = init & s_worst7_init = init & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ! [_229067] : (leq(n0, _229067) & leq(_229067, n2) => ! [_229095] : (leq(n0, _229095) & leq(_229095, n3) => a_select3(simplex7_init, _229095, _229067) = init)) & ! [_229139] : (leq(n0, _229139) & leq(_229139, n3) => a_select2(s_values7_init, _229139) = init) & ! [_229180] : (leq(n0, _229180) & leq(_229180, n2) => a_select2(s_center7_init, _229180) = init) & ! [_229221] : (leq(n0, _229221) & leq(_229221, minus(n3, n1)) => a_select2(s_try7_init, _229221) = init) & (gt(loopcounter, n1) => pvar1400_init = init & pvar1401_init = init & pvar1402_init = init), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gauss_init_0021)).
% 0.42/1.44
% 0.42/1.44 cnf(1, plain, [-(38 ^ []), pvar1400_init = init, pvar1401_init = init, pvar1402_init = init], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(2, plain, [-(38 ^ []), -(gt(loopcounter, n1))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(3, plain, [-(37 ^ []), a_select2(s_try7_init, 36 ^ []) = init], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(4, plain, [-(37 ^ []), -(leq(36 ^ [], minus(n3, n1)))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(5, plain, [-(37 ^ []), -(leq(n0, 36 ^ []))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(6, plain, [-(35 ^ []), a_select2(s_center7_init, 34 ^ []) = init], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(7, plain, [-(35 ^ []), -(leq(34 ^ [], n2))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(8, plain, [-(35 ^ []), -(leq(n0, 34 ^ []))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(9, plain, [-(33 ^ []), a_select2(s_values7_init, 32 ^ []) = init], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(10, plain, [-(33 ^ []), -(leq(32 ^ [], n3))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(11, plain, [-(33 ^ []), -(leq(n0, 32 ^ []))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(12, plain, [-(31 ^ []), a_select3(simplex7_init, 30 ^ [], 29 ^ []) = init], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(13, plain, [-(31 ^ []), -(leq(30 ^ [], n3))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(14, plain, [-(31 ^ []), -(leq(n0, 30 ^ []))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(15, plain, [-(31 ^ []), -(leq(29 ^ [], n2))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(16, plain, [-(31 ^ []), -(leq(n0, 29 ^ []))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(17, plain, [-(28 ^ []), -(pvar1402_init = init)], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(18, plain, [-(28 ^ []), -(pvar1401_init = init)], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(19, plain, [-(28 ^ []), -(pvar1400_init = init)], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(20, plain, [init = init, s_best7_init = init, s_sworst7_init = init, s_worst7_init = init, leq(n0, s_best7), leq(n0, s_sworst7), leq(n0, s_worst7), leq(n0, pv19), leq(n0, pv20), leq(n0, pv1376), leq(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), leq(pv19, minus(n410, n1)), leq(pv20, minus(n330, n1)), leq(pv1376, n3), 31 ^ [], 33 ^ [], 35 ^ [], 37 ^ [], 38 ^ []], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(21, plain, [-(init = init)], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(22, plain, [-(s_best7_init = init)], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(23, plain, [-(s_sworst7_init = init)], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(24, plain, [-(s_worst7_init = init)], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(25, plain, [-(leq(n0, s_best7))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(26, plain, [-(leq(n0, s_sworst7))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(27, plain, [-(leq(n0, s_worst7))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(28, plain, [-(leq(n0, pv19))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(29, plain, [-(leq(n0, pv20))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(30, plain, [-(leq(n0, pv1376))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(31, plain, [-(leq(s_best7, n3))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(32, plain, [-(leq(s_sworst7, n3))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(33, plain, [-(leq(s_worst7, n3))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(34, plain, [-(leq(pv19, minus(n410, n1)))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(35, plain, [-(leq(pv20, minus(n330, n1)))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(36, plain, [-(leq(pv1376, n3))], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(37, plain, [leq(_117308, n2), leq(n0, _117308), -(a_select3(simplex7_init, _117508, _117308) = init), leq(n0, _117508), leq(_117508, n3)], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(38, plain, [-(a_select2(s_values7_init, _117875) = init), leq(n0, _117875), leq(_117875, n3)], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(39, plain, [-(a_select2(s_center7_init, _118175) = init), leq(n0, _118175), leq(_118175, n2)], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(40, plain, [gt(loopcounter, n1), 28 ^ []], clausify(gauss_init_0021)).
% 0.42/1.44 cnf(41, plain, [-(a_select2(s_try7_init, _118475) = init), leq(n0, _118475), leq(_118475, minus(n3, n1))], clausify(gauss_init_0021)).
% 0.42/1.44
% 0.42/1.44 cnf('1',plain,[init = init, s_best7_init = init, s_sworst7_init = init, s_worst7_init = init, leq(n0, s_best7), leq(n0, s_sworst7), leq(n0, s_worst7), leq(n0, pv19), leq(n0, pv20), leq(n0, pv1376), leq(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), leq(pv19, minus(n410, n1)), leq(pv20, minus(n330, n1)), leq(pv1376, n3), 31 ^ [], 33 ^ [], 35 ^ [], 37 ^ [], 38 ^ []],start(20)).
% 0.42/1.44 cnf('1.1',plain,[-(init = init)],extension(21)).
% 0.42/1.44 cnf('1.2',plain,[-(s_best7_init = init)],extension(22)).
% 0.42/1.44 cnf('1.3',plain,[-(s_sworst7_init = init)],extension(23)).
% 0.42/1.44 cnf('1.4',plain,[-(s_worst7_init = init)],extension(24)).
% 0.42/1.44 cnf('1.5',plain,[-(leq(n0, s_best7))],extension(25)).
% 0.42/1.44 cnf('1.6',plain,[-(leq(n0, s_sworst7))],extension(26)).
% 0.42/1.44 cnf('1.7',plain,[-(leq(n0, s_worst7))],extension(27)).
% 0.42/1.44 cnf('1.8',plain,[-(leq(n0, pv19))],extension(28)).
% 0.42/1.44 cnf('1.9',plain,[-(leq(n0, pv20))],extension(29)).
% 0.42/1.44 cnf('1.10',plain,[-(leq(n0, pv1376))],extension(30)).
% 0.42/1.44 cnf('1.11',plain,[-(leq(s_best7, n3))],extension(31)).
% 0.42/1.44 cnf('1.12',plain,[-(leq(s_sworst7, n3))],extension(32)).
% 0.42/1.44 cnf('1.13',plain,[-(leq(s_worst7, n3))],extension(33)).
% 0.42/1.44 cnf('1.14',plain,[-(leq(pv19, minus(n410, n1)))],extension(34)).
% 0.42/1.44 cnf('1.15',plain,[-(leq(pv20, minus(n330, n1)))],extension(35)).
% 0.42/1.44 cnf('1.16',plain,[-(leq(pv1376, n3))],extension(36)).
% 0.42/1.44 cnf('1.17',plain,[-(31 ^ []), a_select3(simplex7_init, 30 ^ [], 29 ^ []) = init],extension(12)).
% 0.42/1.44 cnf('1.17.1',plain,[-(a_select3(simplex7_init, 30 ^ [], 29 ^ []) = init), leq(29 ^ [], n2), leq(n0, 29 ^ []), leq(n0, 30 ^ []), leq(30 ^ [], n3)],extension(37,bind([[_117308, _117508], [29 ^ [], 30 ^ []]]))).
% 0.42/1.44 cnf('1.17.1.1',plain,[-(leq(29 ^ [], n2)), -(31 ^ [])],extension(15)).
% 0.42/1.44 cnf('1.17.1.1.1',plain,[31 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.17.1.2',plain,[-(leq(n0, 29 ^ [])), -(31 ^ [])],extension(16)).
% 0.42/1.44 cnf('1.17.1.2.1',plain,[31 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.17.1.3',plain,[-(leq(n0, 30 ^ [])), -(31 ^ [])],extension(14)).
% 0.42/1.44 cnf('1.17.1.3.1',plain,[31 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.17.1.4',plain,[-(leq(30 ^ [], n3)), -(31 ^ [])],extension(13)).
% 0.42/1.44 cnf('1.17.1.4.1',plain,[31 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.18',plain,[-(33 ^ []), a_select2(s_values7_init, 32 ^ []) = init],extension(9)).
% 0.42/1.44 cnf('1.18.1',plain,[-(a_select2(s_values7_init, 32 ^ []) = init), leq(n0, 32 ^ []), leq(32 ^ [], n3)],extension(38,bind([[_117875], [32 ^ []]]))).
% 0.42/1.44 cnf('1.18.1.1',plain,[-(leq(n0, 32 ^ [])), -(33 ^ [])],extension(11)).
% 0.42/1.44 cnf('1.18.1.1.1',plain,[33 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.18.1.2',plain,[-(leq(32 ^ [], n3)), -(33 ^ [])],extension(10)).
% 0.42/1.44 cnf('1.18.1.2.1',plain,[33 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.19',plain,[-(35 ^ []), a_select2(s_center7_init, 34 ^ []) = init],extension(6)).
% 0.42/1.44 cnf('1.19.1',plain,[-(a_select2(s_center7_init, 34 ^ []) = init), leq(n0, 34 ^ []), leq(34 ^ [], n2)],extension(39,bind([[_118175], [34 ^ []]]))).
% 0.42/1.44 cnf('1.19.1.1',plain,[-(leq(n0, 34 ^ [])), -(35 ^ [])],extension(8)).
% 0.42/1.44 cnf('1.19.1.1.1',plain,[35 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.19.1.2',plain,[-(leq(34 ^ [], n2)), -(35 ^ [])],extension(7)).
% 0.42/1.44 cnf('1.19.1.2.1',plain,[35 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.20',plain,[-(37 ^ []), a_select2(s_try7_init, 36 ^ []) = init],extension(3)).
% 0.42/1.44 cnf('1.20.1',plain,[-(a_select2(s_try7_init, 36 ^ []) = init), leq(n0, 36 ^ []), leq(36 ^ [], minus(n3, n1))],extension(41,bind([[_118475], [36 ^ []]]))).
% 0.42/1.44 cnf('1.20.1.1',plain,[-(leq(n0, 36 ^ [])), -(37 ^ [])],extension(5)).
% 0.42/1.44 cnf('1.20.1.1.1',plain,[37 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.20.1.2',plain,[-(leq(36 ^ [], minus(n3, n1))), -(37 ^ [])],extension(4)).
% 0.42/1.44 cnf('1.20.1.2.1',plain,[37 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.21',plain,[-(38 ^ []), pvar1400_init = init, pvar1401_init = init, pvar1402_init = init],extension(1)).
% 0.42/1.44 cnf('1.21.1',plain,[-(pvar1400_init = init), -(28 ^ [])],extension(19)).
% 0.42/1.44 cnf('1.21.1.1',plain,[28 ^ [], gt(loopcounter, n1)],extension(40)).
% 0.42/1.44 cnf('1.21.1.1.1',plain,[-(gt(loopcounter, n1)), -(38 ^ [])],extension(2)).
% 0.42/1.44 cnf('1.21.1.1.1.1',plain,[38 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.21.2',plain,[-(pvar1401_init = init), -(28 ^ [])],extension(18)).
% 0.42/1.44 cnf('1.21.2.1',plain,[28 ^ [], gt(loopcounter, n1)],extension(40)).
% 0.42/1.44 cnf('1.21.2.1.1',plain,[-(gt(loopcounter, n1)), -(38 ^ [])],extension(2)).
% 0.42/1.44 cnf('1.21.2.1.1.1',plain,[38 ^ []],reduction('1')).
% 0.42/1.44 cnf('1.21.3',plain,[-(pvar1402_init = init), -(28 ^ [])],extension(17)).
% 0.42/1.44 cnf('1.21.3.1',plain,[28 ^ [], gt(loopcounter, n1)],extension(40)).
% 0.42/1.44 cnf('1.21.3.1.1',plain,[-(gt(loopcounter, n1)), -(38 ^ [])],extension(2)).
% 0.42/1.44 cnf('1.21.3.1.1.1',plain,[38 ^ []],reduction('1')).
% 0.42/1.44 %-----------------------------------------------------
% 0.42/1.45
% 0.42/1.45 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------