%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV156+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 19:49:42 EDT 2022
% Result : Theorem 29.02s 29.14s
% Output : Proof 29.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SWV156+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.09 % Command : leancop_casc.sh %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Wed Jun 15 06:57:58 EDT 2022
% 0.09/0.28 % CPUTime :
% 29.02/29.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.02/29.15 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.02/29.15
% 29.02/29.15 %-----------------------------------------------------
% 29.02/29.15 fof(cl5_nebula_norm_0006, conjecture, pv70 = sum(n0, n4, sqrt(times(minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)), minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10))))) & leq(n0, pv10) & leq(n0, pv12) & leq(pv10, n135299) & leq(pv12, n4) & ! [_149786] : (leq(n0, _149786) & leq(_149786, pred(pv12)) => a_select3(q, pv10, _149786) = divide(sqrt(times(minus(a_select3(center, _149786, n0), a_select2(x, pv10)), minus(a_select3(center, _149786, n0), a_select2(x, pv10)))), sum(n0, n4, sqrt(times(minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)), minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10))))))) & ! [_149969] : (leq(n0, _149969) & leq(_149969, pred(pv10)) => sum(n0, n4, a_select3(q, _149969, tptp_sum_index)) = n1) => ! [_150027] : (leq(n0, _150027) & leq(_150027, pred(pv10)) => pv10 = _150027 => sum(n0, n4, cond(tptp_term_equals(pv12, tptp_sum_index), divide(sqrt(times(minus(a_select3(center, pv12, n0), a_select2(x, pv10)), minus(a_select3(center, pv12, n0), a_select2(x, pv10)))), pv70), a_select3(q, _150027, tptp_sum_index))) = n1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cl5_nebula_norm_0006)).
% 29.02/29.15 fof(irreflexivity_gt, axiom, ! [_151121] : ~ gt(_151121, _151121), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', irreflexivity_gt)).
% 29.02/29.15 fof(leq_gt_pred, axiom, ! [_151243, _151246] : (leq(_151243, pred(_151246)) <=> gt(_151246, _151243)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', leq_gt_pred)).
% 29.02/29.15
% 29.02/29.15 cnf(1, plain, [-(leq(42 ^ [], pred(pv10)))], clausify(cl5_nebula_norm_0006)).
% 29.02/29.15 cnf(2, plain, [-(pv10 = 42 ^ [])], clausify(cl5_nebula_norm_0006)).
% 29.02/29.15 cnf(3, plain, [-(_45073 = _45073)], theory(equality)).
% 29.02/29.15 cnf(4, plain, [-(gt(_46672, _46803)), gt(_46605, _46738), _46605 = _46672, _46738 = _46803], theory(equality)).
% 29.02/29.15 cnf(5, plain, [gt(_65508, _65508)], clausify(irreflexivity_gt)).
% 29.02/29.15 cnf(6, plain, [leq(_67687, pred(_67734)), -(gt(_67734, _67687))], clausify(leq_gt_pred)).
% 29.02/29.15
% 29.02/29.15 cnf('1',plain,[-(pv10 = 42 ^ [])],start(2)).
% 29.02/29.15 cnf('1.1',plain,[pv10 = 42 ^ [], -(gt(42 ^ [], 42 ^ [])), gt(pv10, 42 ^ []), 42 ^ [] = 42 ^ []],extension(4,bind([[_46672, _46605, _46738, _46803], [42 ^ [], pv10, 42 ^ [], 42 ^ []]]))).
% 29.02/29.15 cnf('1.1.1',plain,[gt(42 ^ [], 42 ^ [])],extension(5,bind([[_65508], [42 ^ []]]))).
% 29.02/29.15 cnf('1.1.2',plain,[-(gt(pv10, 42 ^ [])), leq(42 ^ [], pred(pv10))],extension(6,bind([[_67687, _67734], [42 ^ [], pv10]]))).
% 29.02/29.15 cnf('1.1.2.1',plain,[-(leq(42 ^ [], pred(pv10)))],extension(1)).
% 29.02/29.15 cnf('1.1.3',plain,[-(42 ^ [] = 42 ^ [])],extension(3,bind([[_45073], [42 ^ []]]))).
% 29.02/29.15 %-----------------------------------------------------
% 29.02/29.15
% 29.02/29.16 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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