TSTP Solution File: SWV409+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV409+1 : TPTP v8.1.0. Released 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 19:50:46 EDT 2022
% Result : Theorem 0.30s 1.37s
% Output : Proof 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWV409+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.11 % Command : leancop_casc.sh %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Tue Jun 14 17:09:43 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.30/1.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.37 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.38
% 0.30/1.38 %-----------------------------------------------------
% 0.30/1.38 fof(l45_co, conjecture, ! [_49842, _49845, _49848] : (contains_slb(_49842, _49845) & strictly_less_than(_49845, _49848) => pair_in_list(update_slb(_49842, _49848), _49845, _49848) | ? [_49896] : (pair_in_list(update_slb(_49842, _49848), _49845, _49896) & less_than(_49848, _49896))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l45_co)).
% 0.30/1.38 fof(totality, axiom, ! [_50228, _50231] : (less_than(_50228, _50231) | less_than(_50231, _50228)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax', totality)).
% 0.30/1.38 fof(stricly_smaller_definition, axiom, ! [_50378, _50381] : (strictly_less_than(_50378, _50381) <=> less_than(_50378, _50381) & ~ less_than(_50381, _50378)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax', stricly_smaller_definition)).
% 0.30/1.38 fof(l45_li4647, lemma, ! [_50559, _50562] : (contains_slb(_50559, _50562) => ? [_50580] : pair_in_list(_50559, _50562, _50580)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l45_li4647)).
% 0.30/1.38 fof(l45_l48, lemma, ! [_50742, _50745, _50748, _50751] : (pair_in_list(_50742, _50745, _50748) & strictly_less_than(_50745, _50751) & strictly_less_than(_50748, _50751) => pair_in_list(update_slb(_50742, _50751), _50745, _50751)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l45_l48)).
% 0.30/1.38 fof(l45_l49, lemma, ! [_50996, _50999, _51002, _51005] : (pair_in_list(_50996, _50999, _51002) & strictly_less_than(_50999, _51005) & less_than(_51005, _51002) => ? [_51046] : (pair_in_list(update_slb(_50996, _51005), _50999, _51046) & less_than(_51005, _51046))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l45_l49)).
% 0.30/1.38
% 0.30/1.38 cnf(1, plain, [-(contains_slb(3 ^ [], 4 ^ []))], clausify(l45_co)).
% 0.30/1.38 cnf(2, plain, [-(strictly_less_than(4 ^ [], 5 ^ []))], clausify(l45_co)).
% 0.30/1.38 cnf(3, plain, [pair_in_list(update_slb(3 ^ [], 5 ^ []), 4 ^ [], 5 ^ [])], clausify(l45_co)).
% 0.30/1.38 cnf(4, plain, [pair_in_list(update_slb(3 ^ [], 5 ^ []), 4 ^ [], _35898), less_than(5 ^ [], _35898)], clausify(l45_co)).
% 0.30/1.38 cnf(5, plain, [-(_12673 = _12673)], theory(equality)).
% 0.30/1.38 cnf(6, plain, [-(pair_in_list(_15243, _15410, _15573)), pair_in_list(_15158, _15327, _15492), _15158 = _15243, _15327 = _15410, _15492 = _15573], theory(equality)).
% 0.30/1.38 cnf(7, plain, [-(less_than(_20555, _20600)), -(less_than(_20600, _20555))], clausify(totality)).
% 0.30/1.38 cnf(8, plain, [-(strictly_less_than(_21039, _21092)), less_than(_21039, _21092), -(less_than(_21092, _21039))], clausify(stricly_smaller_definition)).
% 0.30/1.38 cnf(9, plain, [contains_slb(_28569, _28620), -(pair_in_list(_28569, _28620, 1 ^ [_28620, _28569]))], clausify(l45_li4647)).
% 0.30/1.38 cnf(10, plain, [-(pair_in_list(update_slb(_28982, _29195), _29054, _29195)), pair_in_list(_28982, _29054, _29125), strictly_less_than(_29054, _29195), strictly_less_than(_29125, _29195)], clausify(l45_l48)).
% 0.30/1.38 cnf(11, plain, [-(pair_in_list(update_slb(_29754, _30000), _29837, 2 ^ [_30000, _29919, _29837, _29754])), pair_in_list(_29754, _29837, _29919), strictly_less_than(_29837, _30000), less_than(_30000, _29919)], clausify(l45_l49)).
% 0.30/1.38 cnf(12, plain, [-(less_than(_30000, 2 ^ [_30000, _29919, _29837, _29754])), pair_in_list(_29754, _29837, _29919), strictly_less_than(_29837, _30000), less_than(_30000, _29919)], clausify(l45_l49)).
% 0.30/1.38
% 0.30/1.38 cnf('1',plain,[pair_in_list(update_slb(3 ^ [], 5 ^ []), 4 ^ [], 2 ^ [5 ^ [], 1 ^ [4 ^ [], 3 ^ []], 4 ^ [], 3 ^ []]), less_than(5 ^ [], 2 ^ [5 ^ [], 1 ^ [4 ^ [], 3 ^ []], 4 ^ [], 3 ^ []])],start(4,bind([[_35898], [2 ^ [5 ^ [], 1 ^ [4 ^ [], 3 ^ []], 4 ^ [], 3 ^ []]]]))).
% 0.30/1.38 cnf('1.1',plain,[-(pair_in_list(update_slb(3 ^ [], 5 ^ []), 4 ^ [], 2 ^ [5 ^ [], 1 ^ [4 ^ [], 3 ^ []], 4 ^ [], 3 ^ []])), pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []]), strictly_less_than(4 ^ [], 5 ^ []), less_than(5 ^ [], 1 ^ [4 ^ [], 3 ^ []])],extension(11,bind([[_29754, _29837, _30000, _29919], [3 ^ [], 4 ^ [], 5 ^ [], 1 ^ [4 ^ [], 3 ^ []]]]))).
% 0.30/1.38 cnf('1.1.1',plain,[-(pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []])), pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []]), 3 ^ [] = 3 ^ [], 4 ^ [] = 4 ^ [], 1 ^ [4 ^ [], 3 ^ []] = 1 ^ [4 ^ [], 3 ^ []]],extension(6,bind([[_15158, _15243, _15327, _15410, _15492, _15573], [3 ^ [], 3 ^ [], 4 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []], 1 ^ [4 ^ [], 3 ^ []]]]))).
% 0.30/1.38 cnf('1.1.1.1',plain,[-(pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []])), contains_slb(3 ^ [], 4 ^ [])],extension(9,bind([[_28569, _28620], [3 ^ [], 4 ^ []]]))).
% 0.30/1.38 cnf('1.1.1.1.1',plain,[-(contains_slb(3 ^ [], 4 ^ []))],extension(1)).
% 0.30/1.38 cnf('1.1.1.2',plain,[-(3 ^ [] = 3 ^ [])],extension(5,bind([[_12673], [3 ^ []]]))).
% 0.30/1.38 cnf('1.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(5,bind([[_12673], [4 ^ []]]))).
% 0.30/1.38 cnf('1.1.1.4',plain,[-(1 ^ [4 ^ [], 3 ^ []] = 1 ^ [4 ^ [], 3 ^ []])],extension(5,bind([[_12673], [1 ^ [4 ^ [], 3 ^ []]]]))).
% 0.30/1.38 cnf('1.1.2',plain,[-(strictly_less_than(4 ^ [], 5 ^ []))],extension(2)).
% 0.30/1.38 cnf('1.1.3',plain,[-(less_than(5 ^ [], 1 ^ [4 ^ [], 3 ^ []])), -(strictly_less_than(1 ^ [4 ^ [], 3 ^ []], 5 ^ [])), less_than(1 ^ [4 ^ [], 3 ^ []], 5 ^ [])],extension(8,bind([[_21039, _21092], [1 ^ [4 ^ [], 3 ^ []], 5 ^ []]]))).
% 0.30/1.38 cnf('1.1.3.1',plain,[strictly_less_than(1 ^ [4 ^ [], 3 ^ []], 5 ^ []), -(pair_in_list(update_slb(3 ^ [], 5 ^ []), 4 ^ [], 5 ^ [])), pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []]), strictly_less_than(4 ^ [], 5 ^ [])],extension(10,bind([[_28982, _29125, _29054, _29195], [3 ^ [], 1 ^ [4 ^ [], 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.30/1.38 cnf('1.1.3.1.1',plain,[pair_in_list(update_slb(3 ^ [], 5 ^ []), 4 ^ [], 5 ^ [])],extension(3)).
% 0.30/1.38 cnf('1.1.3.1.2',plain,[-(pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []]))],lemmata('1.1')).
% 0.30/1.38 cnf('1.1.3.1.3',plain,[-(strictly_less_than(4 ^ [], 5 ^ []))],extension(2)).
% 0.30/1.38 cnf('1.1.3.2',plain,[-(less_than(1 ^ [4 ^ [], 3 ^ []], 5 ^ [])), -(less_than(5 ^ [], 1 ^ [4 ^ [], 3 ^ []]))],extension(7,bind([[_20600, _20555], [5 ^ [], 1 ^ [4 ^ [], 3 ^ []]]]))).
% 0.30/1.38 cnf('1.1.3.2.1',plain,[less_than(5 ^ [], 1 ^ [4 ^ [], 3 ^ []])],reduction('1.1')).
% 0.30/1.38 cnf('1.2',plain,[-(less_than(5 ^ [], 2 ^ [5 ^ [], 1 ^ [4 ^ [], 3 ^ []], 4 ^ [], 3 ^ []])), pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []]), strictly_less_than(4 ^ [], 5 ^ []), less_than(5 ^ [], 1 ^ [4 ^ [], 3 ^ []])],extension(12,bind([[_29754, _29837, _30000, _29919], [3 ^ [], 4 ^ [], 5 ^ [], 1 ^ [4 ^ [], 3 ^ []]]]))).
% 0.30/1.38 cnf('1.2.1',plain,[-(pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []])), pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []]), 3 ^ [] = 3 ^ [], 4 ^ [] = 4 ^ [], 1 ^ [4 ^ [], 3 ^ []] = 1 ^ [4 ^ [], 3 ^ []]],extension(6,bind([[_15158, _15243, _15327, _15410, _15492, _15573], [3 ^ [], 3 ^ [], 4 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []], 1 ^ [4 ^ [], 3 ^ []]]]))).
% 0.30/1.38 cnf('1.2.1.1',plain,[-(pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []])), contains_slb(3 ^ [], 4 ^ [])],extension(9,bind([[_28569, _28620], [3 ^ [], 4 ^ []]]))).
% 0.30/1.38 cnf('1.2.1.1.1',plain,[-(contains_slb(3 ^ [], 4 ^ []))],extension(1)).
% 0.30/1.38 cnf('1.2.1.2',plain,[-(3 ^ [] = 3 ^ [])],extension(5,bind([[_12673], [3 ^ []]]))).
% 0.30/1.38 cnf('1.2.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(5,bind([[_12673], [4 ^ []]]))).
% 0.30/1.38 cnf('1.2.1.4',plain,[-(1 ^ [4 ^ [], 3 ^ []] = 1 ^ [4 ^ [], 3 ^ []])],extension(5,bind([[_12673], [1 ^ [4 ^ [], 3 ^ []]]]))).
% 0.30/1.38 cnf('1.2.2',plain,[-(strictly_less_than(4 ^ [], 5 ^ []))],extension(2)).
% 0.30/1.38 cnf('1.2.3',plain,[-(less_than(5 ^ [], 1 ^ [4 ^ [], 3 ^ []])), -(strictly_less_than(1 ^ [4 ^ [], 3 ^ []], 5 ^ [])), less_than(1 ^ [4 ^ [], 3 ^ []], 5 ^ [])],extension(8,bind([[_21039, _21092], [1 ^ [4 ^ [], 3 ^ []], 5 ^ []]]))).
% 0.30/1.38 cnf('1.2.3.1',plain,[strictly_less_than(1 ^ [4 ^ [], 3 ^ []], 5 ^ []), -(pair_in_list(update_slb(3 ^ [], 5 ^ []), 4 ^ [], 5 ^ [])), pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []]), strictly_less_than(4 ^ [], 5 ^ [])],extension(10,bind([[_28982, _29125, _29054, _29195], [3 ^ [], 1 ^ [4 ^ [], 3 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.30/1.38 cnf('1.2.3.1.1',plain,[pair_in_list(update_slb(3 ^ [], 5 ^ []), 4 ^ [], 5 ^ [])],extension(3)).
% 0.30/1.38 cnf('1.2.3.1.2',plain,[-(pair_in_list(3 ^ [], 4 ^ [], 1 ^ [4 ^ [], 3 ^ []]))],lemmata('1.2')).
% 0.30/1.38 cnf('1.2.3.1.3',plain,[-(strictly_less_than(4 ^ [], 5 ^ []))],extension(2)).
% 0.30/1.38 cnf('1.2.3.2',plain,[-(less_than(1 ^ [4 ^ [], 3 ^ []], 5 ^ [])), -(less_than(5 ^ [], 1 ^ [4 ^ [], 3 ^ []]))],extension(7,bind([[_20600, _20555], [5 ^ [], 1 ^ [4 ^ [], 3 ^ []]]]))).
% 0.30/1.38 cnf('1.2.3.2.1',plain,[less_than(5 ^ [], 1 ^ [4 ^ [], 3 ^ []])],reduction('1.2')).
% 0.30/1.38 %-----------------------------------------------------
% 0.30/1.38
% 0.30/1.38 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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