TSTP Solution File: SWV408+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV408+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 0.46s 1.40s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV408+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n016.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 17:01:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/1.41
% 0.46/1.41 %-----------------------------------------------------
% 0.46/1.41 fof(l44_co, conjecture, ! [_86339, _86342, _86345, _86348] : (contains_slb(_86342, _86348) & strictly_less_than(_86348, findmin_cpq_res(triple(_86339, _86342, _86345))) => pair_in_list(update_slb(_86342, findmin_pqp_res(_86339)), _86348, findmin_pqp_res(_86339)) | ? [_86418] : (pair_in_list(update_slb(_86342, findmin_pqp_res(_86339)), _86348, _86418) & less_than(findmin_pqp_res(_86339), _86418))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l44_co)).
% 0.46/1.41 fof(totality, axiom, ! [_86808, _86811] : (less_than(_86808, _86811) | less_than(_86811, _86808)), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax', totality)).
% 0.46/1.41 fof(stricly_smaller_definition, axiom, ! [_86958, _86961] : (strictly_less_than(_86958, _86961) <=> less_than(_86958, _86961) & ~ less_than(_86961, _86958)), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax', stricly_smaller_definition)).
% 0.46/1.41 fof(l45_li4647, lemma, ! [_87157, _87160] : (contains_slb(_87157, _87160) => ? [_87178] : pair_in_list(_87157, _87160, _87178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l45_li4647)).
% 0.46/1.41 fof(l48_li3839, lemma, ! [_87340, _87343, _87346, _87349] : (pair_in_list(_87340, _87343, _87346) & strictly_less_than(_87346, _87349) => pair_in_list(update_slb(_87340, _87349), _87343, _87349)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l48_li3839)).
% 0.46/1.41 fof(l49_li3637, lemma, ! [_87566, _87569, _87572, _87575] : (pair_in_list(_87566, _87569, _87572) & less_than(_87575, _87572) => pair_in_list(update_slb(_87566, _87575), _87569, _87572)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l49_li3637)).
% 0.46/1.41
% 0.46/1.41 cnf(1, plain, [-(contains_slb(3 ^ [], 5 ^ []))], clausify(l44_co)).
% 0.46/1.41 cnf(2, plain, [pair_in_list(update_slb(3 ^ [], findmin_pqp_res(2 ^ [])), 5 ^ [], findmin_pqp_res(2 ^ []))], clausify(l44_co)).
% 0.46/1.41 cnf(3, plain, [pair_in_list(update_slb(3 ^ [], findmin_pqp_res(2 ^ [])), 5 ^ [], _73241), less_than(findmin_pqp_res(2 ^ []), _73241)], clausify(l44_co)).
% 0.46/1.41 cnf(4, plain, [-(_25023 = _25023)], theory(equality)).
% 0.46/1.41 cnf(5, plain, [-(pair_in_list(_28875, _29042, _29205)), pair_in_list(_28790, _28959, _29124), _28790 = _28875, _28959 = _29042, _29124 = _29205], theory(equality)).
% 0.46/1.41 cnf(6, plain, [-(less_than(_40187, _40232)), -(less_than(_40232, _40187))], clausify(totality)).
% 0.46/1.41 cnf(7, plain, [-(strictly_less_than(_40671, _40724)), less_than(_40671, _40724), -(less_than(_40724, _40671))], clausify(stricly_smaller_definition)).
% 0.46/1.41 cnf(8, plain, [contains_slb(_61755, _61806), -(pair_in_list(_61755, _61806, 1 ^ [_61806, _61755]))], clausify(l45_li4647)).
% 0.46/1.41 cnf(9, plain, [-(pair_in_list(update_slb(_62168, _62363), _62234, _62363)), pair_in_list(_62168, _62234, _62299), strictly_less_than(_62299, _62363)], clausify(l48_li3839)).
% 0.46/1.41 cnf(10, plain, [-(pair_in_list(update_slb(_62842, _63037), _62908, _62973)), pair_in_list(_62842, _62908, _62973), less_than(_63037, _62973)], clausify(l49_li3637)).
% 0.46/1.41
% 0.46/1.41 cnf('1',plain,[pair_in_list(update_slb(3 ^ [], findmin_pqp_res(2 ^ [])), 5 ^ [], 1 ^ [5 ^ [], 3 ^ []]), less_than(findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []])],start(3,bind([[_73241], [1 ^ [5 ^ [], 3 ^ []]]]))).
% 0.46/1.41 cnf('1.1',plain,[-(pair_in_list(update_slb(3 ^ [], findmin_pqp_res(2 ^ [])), 5 ^ [], 1 ^ [5 ^ [], 3 ^ []])), pair_in_list(3 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []]), less_than(findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []])],extension(10,bind([[_62842, _62908, _63037, _62973], [3 ^ [], 5 ^ [], findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []]]]))).
% 0.46/1.41 cnf('1.1.1',plain,[-(pair_in_list(3 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []])), pair_in_list(3 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []]), 3 ^ [] = 3 ^ [], 5 ^ [] = 5 ^ [], 1 ^ [5 ^ [], 3 ^ []] = 1 ^ [5 ^ [], 3 ^ []]],extension(5,bind([[_28790, _28875, _28959, _29042, _29124, _29205], [3 ^ [], 3 ^ [], 5 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []], 1 ^ [5 ^ [], 3 ^ []]]]))).
% 0.46/1.41 cnf('1.1.1.1',plain,[-(pair_in_list(3 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []])), contains_slb(3 ^ [], 5 ^ [])],extension(8,bind([[_61755, _61806], [3 ^ [], 5 ^ []]]))).
% 0.46/1.41 cnf('1.1.1.1.1',plain,[-(contains_slb(3 ^ [], 5 ^ []))],extension(1)).
% 0.46/1.41 cnf('1.1.1.2',plain,[-(3 ^ [] = 3 ^ [])],extension(4,bind([[_25023], [3 ^ []]]))).
% 0.46/1.41 cnf('1.1.1.3',plain,[-(5 ^ [] = 5 ^ [])],extension(4,bind([[_25023], [5 ^ []]]))).
% 0.46/1.41 cnf('1.1.1.4',plain,[-(1 ^ [5 ^ [], 3 ^ []] = 1 ^ [5 ^ [], 3 ^ []])],extension(4,bind([[_25023], [1 ^ [5 ^ [], 3 ^ []]]]))).
% 0.46/1.41 cnf('1.1.2',plain,[-(less_than(findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []])), -(strictly_less_than(1 ^ [5 ^ [], 3 ^ []], findmin_pqp_res(2 ^ []))), less_than(1 ^ [5 ^ [], 3 ^ []], findmin_pqp_res(2 ^ []))],extension(7,bind([[_40671, _40724], [1 ^ [5 ^ [], 3 ^ []], findmin_pqp_res(2 ^ [])]]))).
% 0.46/1.41 cnf('1.1.2.1',plain,[strictly_less_than(1 ^ [5 ^ [], 3 ^ []], findmin_pqp_res(2 ^ [])), -(pair_in_list(update_slb(3 ^ [], findmin_pqp_res(2 ^ [])), 5 ^ [], findmin_pqp_res(2 ^ []))), pair_in_list(3 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []])],extension(9,bind([[_62363, _62168, _62234, _62299], [findmin_pqp_res(2 ^ []), 3 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []]]]))).
% 0.46/1.41 cnf('1.1.2.1.1',plain,[pair_in_list(update_slb(3 ^ [], findmin_pqp_res(2 ^ [])), 5 ^ [], findmin_pqp_res(2 ^ []))],extension(2)).
% 0.46/1.41 cnf('1.1.2.1.2',plain,[-(pair_in_list(3 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []]))],lemmata('1.1')).
% 0.46/1.41 cnf('1.1.2.2',plain,[-(less_than(1 ^ [5 ^ [], 3 ^ []], findmin_pqp_res(2 ^ []))), -(less_than(findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []]))],extension(6,bind([[_40232, _40187], [findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []]]]))).
% 0.46/1.41 cnf('1.1.2.2.1',plain,[less_than(findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []])],reduction('1.1')).
% 0.46/1.41 cnf('1.2',plain,[-(less_than(findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []])), -(strictly_less_than(1 ^ [5 ^ [], 3 ^ []], findmin_pqp_res(2 ^ []))), less_than(1 ^ [5 ^ [], 3 ^ []], findmin_pqp_res(2 ^ []))],extension(7,bind([[_40671, _40724], [1 ^ [5 ^ [], 3 ^ []], findmin_pqp_res(2 ^ [])]]))).
% 0.46/1.41 cnf('1.2.1',plain,[strictly_less_than(1 ^ [5 ^ [], 3 ^ []], findmin_pqp_res(2 ^ [])), -(pair_in_list(update_slb(3 ^ [], findmin_pqp_res(2 ^ [])), 5 ^ [], findmin_pqp_res(2 ^ []))), pair_in_list(3 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []])],extension(9,bind([[_62363, _62168, _62234, _62299], [findmin_pqp_res(2 ^ []), 3 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []]]]))).
% 0.46/1.41 cnf('1.2.1.1',plain,[pair_in_list(update_slb(3 ^ [], findmin_pqp_res(2 ^ [])), 5 ^ [], findmin_pqp_res(2 ^ []))],extension(2)).
% 0.46/1.41 cnf('1.2.1.2',plain,[-(pair_in_list(3 ^ [], 5 ^ [], 1 ^ [5 ^ [], 3 ^ []])), contains_slb(3 ^ [], 5 ^ [])],extension(8,bind([[_61755, _61806], [3 ^ [], 5 ^ []]]))).
% 0.46/1.41 cnf('1.2.1.2.1',plain,[-(contains_slb(3 ^ [], 5 ^ []))],extension(1)).
% 0.46/1.41 cnf('1.2.2',plain,[-(less_than(1 ^ [5 ^ [], 3 ^ []], findmin_pqp_res(2 ^ []))), -(less_than(findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []]))],extension(6,bind([[_40232, _40187], [findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []]]]))).
% 0.46/1.41 cnf('1.2.2.1',plain,[less_than(findmin_pqp_res(2 ^ []), 1 ^ [5 ^ [], 3 ^ []])],reduction('1')).
% 0.46/1.41 %-----------------------------------------------------
% 0.46/1.42
% 0.46/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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