TSTP Solution File: SWV153+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV153+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 5.02s 5.55s
% Output : Proof 5.02s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV153+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n017.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 : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 04:13:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.02/5.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.02/5.56 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.02/5.56
% 5.02/5.56 %-----------------------------------------------------
% 5.02/5.56 fof(cl5_nebula_norm_0003, 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) & ! [_216488] : (leq(n0, _216488) & leq(_216488, pred(pv12)) => a_select3(q, pv10, _216488) = divide(sqrt(times(minus(a_select3(center, _216488, n0), a_select2(x, pv10)), minus(a_select3(center, _216488, 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))))))) & ! [_216671] : (leq(n0, _216671) & leq(_216671, pred(pv10)) => sum(n0, n4, a_select3(q, _216671, tptp_sum_index)) = n1) => ! [_216729] : (leq(n0, _216729) & leq(_216729, pv12) => (! pv12) = _216729 => a_select3(q, pv10, _216729) = divide(sqrt(times(minus(a_select3(center, _216729, n0), a_select2(x, pv10)), minus(a_select3(center, _216729, 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))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cl5_nebula_norm_0003)).
% 5.02/5.56 fof(totality, axiom, ! [_217933, _217936] : (gt(_217933, _217936) | gt(_217936, _217933) | _217933 = _217936), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', totality)).
% 5.02/5.56 fof(transitivity_gt, axiom, ! [_218103, _218106, _218109] : (gt(_218103, _218106) & gt(_218106, _218109) => gt(_218103, _218109)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', transitivity_gt)).
% 5.02/5.56 fof(irreflexivity_gt, axiom, ! [_218288] : ~ gt(_218288, _218288), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', irreflexivity_gt)).
% 5.02/5.56 fof(leq_gt2, axiom, ! [_218409, _218412] : (leq(_218409, _218412) & (! _218409) = _218412 => gt(_218412, _218409)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', leq_gt2)).
% 5.02/5.56 fof(leq_gt_pred, axiom, ! [_218587, _218590] : (leq(_218587, pred(_218590)) <=> gt(_218590, _218587)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', leq_gt_pred)).
% 5.02/5.56
% 5.02/5.56 cnf(1, plain, [-(leq(n0, 28 ^ []))], clausify(cl5_nebula_norm_0003)).
% 5.02/5.56 cnf(2, plain, [-(leq(28 ^ [], pv12))], clausify(cl5_nebula_norm_0003)).
% 5.02/5.56 cnf(3, plain, [pv12 = 28 ^ []], clausify(cl5_nebula_norm_0003)).
% 5.02/5.56 cnf(4, plain, [a_select3(q, pv10, 28 ^ []) = divide(sqrt(times(minus(a_select3(center, 28 ^ [], n0), a_select2(x, pv10)), minus(a_select3(center, 28 ^ [], 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))))))], clausify(cl5_nebula_norm_0003)).
% 5.02/5.56 cnf(5, plain, [-(a_select3(q, pv10, _114181) = divide(sqrt(times(minus(a_select3(center, _114181, n0), a_select2(x, pv10)), minus(a_select3(center, _114181, 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))))))), leq(n0, _114181), leq(_114181, pred(pv12))], clausify(cl5_nebula_norm_0003)).
% 5.02/5.56 cnf(6, plain, [_45255 = _45300, -(_45300 = _45255)], theory(equality)).
% 5.02/5.56 cnf(7, plain, [-(gt(_62995, _63046)), -(gt(_63046, _62995)), -(_62995 = _63046)], clausify(totality)).
% 5.02/5.56 cnf(8, plain, [-(gt(_63391, _63502)), gt(_63391, _63447), gt(_63447, _63502)], clausify(transitivity_gt)).
% 5.02/5.56 cnf(9, plain, [gt(_63858, _63858)], clausify(irreflexivity_gt)).
% 5.02/5.56 cnf(10, plain, [-(gt(_65674, _65621)), leq(_65621, _65674), -(_65621 = _65674)], clausify(leq_gt2)).
% 5.02/5.56 cnf(11, plain, [-(leq(_66037, pred(_66084))), gt(_66084, _66037)], clausify(leq_gt_pred)).
% 5.02/5.56
% 5.02/5.56 cnf('1',plain,[pv12 = 28 ^ []],start(3)).
% 5.02/5.56 cnf('1.1',plain,[-(pv12 = 28 ^ []), 28 ^ [] = pv12],extension(6,bind([[_45255, _45300], [28 ^ [], pv12]]))).
% 5.02/5.56 cnf('1.1.1',plain,[-(28 ^ [] = pv12), -(gt(28 ^ [], pv12)), -(gt(pv12, 28 ^ []))],extension(7,bind([[_63046, _62995], [pv12, 28 ^ []]]))).
% 5.02/5.56 cnf('1.1.1.1',plain,[gt(28 ^ [], pv12), -(gt(28 ^ [], 28 ^ [])), gt(pv12, 28 ^ [])],extension(8,bind([[_63391, _63447, _63502], [28 ^ [], pv12, 28 ^ []]]))).
% 5.02/5.56 cnf('1.1.1.1.1',plain,[gt(28 ^ [], 28 ^ [])],extension(9,bind([[_63858], [28 ^ []]]))).
% 5.02/5.56 cnf('1.1.1.1.2',plain,[-(gt(pv12, 28 ^ [])), leq(28 ^ [], pv12), -(28 ^ [] = pv12)],extension(10,bind([[_65621, _65674], [28 ^ [], pv12]]))).
% 5.02/5.56 cnf('1.1.1.1.2.1',plain,[-(leq(28 ^ [], pv12))],extension(2)).
% 5.02/5.56 cnf('1.1.1.1.2.2',plain,[28 ^ [] = pv12],reduction('1.1')).
% 5.02/5.56 cnf('1.1.1.2',plain,[gt(pv12, 28 ^ []), -(leq(28 ^ [], pred(pv12)))],extension(11,bind([[_66037, _66084], [28 ^ [], pv12]]))).
% 5.02/5.56 cnf('1.1.1.2.1',plain,[leq(28 ^ [], pred(pv12)), -(a_select3(q, pv10, 28 ^ []) = divide(sqrt(times(minus(a_select3(center, 28 ^ [], n0), a_select2(x, pv10)), minus(a_select3(center, 28 ^ [], 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))))))), leq(n0, 28 ^ [])],extension(5,bind([[_114181], [28 ^ []]]))).
% 5.02/5.56 cnf('1.1.1.2.1.1',plain,[a_select3(q, pv10, 28 ^ []) = divide(sqrt(times(minus(a_select3(center, 28 ^ [], n0), a_select2(x, pv10)), minus(a_select3(center, 28 ^ [], 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))))))],extension(4)).
% 5.02/5.56 cnf('1.1.1.2.1.2',plain,[-(leq(n0, 28 ^ []))],extension(1)).
% 5.02/5.56 %-----------------------------------------------------
% 5.02/5.57
% 5.02/5.57 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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