TSTP Solution File: SET801+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET801+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 02:56:04 EDT 2022
% Result : Theorem 69.63s 67.96s
% Output : Proof 69.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET801+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 02:56:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 69.63/67.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.71/67.97 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.71/67.97
% 69.71/67.97 %-----------------------------------------------------
% 69.71/67.97 fof(thIV13, conjecture, ! [_84367, _84370] : (order(_84367, _84370) => ! [_84388] : (subset(_84388, _84370) => ! [_84406] : (greatest(_84406, _84367, _84388) <=> member(_84406, _84388) & least_upper_bound(_84406, _84388, _84367, _84370)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIV13)).
% 69.71/67.97 fof(least_upper_bound, axiom, ! [_84728, _84731, _84734, _84737] : (least_upper_bound(_84728, _84731, _84734, _84737) <=> member(_84728, _84731) & upper_bound(_84728, _84734, _84731) & ! [_84784] : (member(_84784, _84737) & upper_bound(_84784, _84734, _84731) => apply(_84734, _84728, _84784))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', least_upper_bound)).
% 69.71/67.97 fof(greatest, axiom, ! [_85114, _85117, _85120] : (greatest(_85120, _85114, _85117) <=> member(_85120, _85117) & ! [_85151] : (member(_85151, _85117) => apply(_85114, _85151, _85120))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', greatest)).
% 69.71/67.97 fof(upper_bound, axiom, ! [_85409, _85412, _85415] : (upper_bound(_85415, _85409, _85412) <=> ! [_85436] : (member(_85436, _85412) => apply(_85409, _85436, _85415))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', upper_bound)).
% 69.71/67.97
% 69.71/67.97 cnf(1, plain, [-(53 ^ []), greatest(51 ^ [], 48 ^ [], 50 ^ [])], clausify(thIV13)).
% 69.71/67.97 cnf(2, plain, [-(53 ^ []), -(least_upper_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ []))], clausify(thIV13)).
% 69.71/67.97 cnf(3, plain, [-(53 ^ []), -(member(51 ^ [], 50 ^ []))], clausify(thIV13)).
% 69.71/67.97 cnf(4, plain, [-(52 ^ []), member(51 ^ [], 50 ^ []), least_upper_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])], clausify(thIV13)).
% 69.71/67.97 cnf(5, plain, [-(52 ^ []), -(greatest(51 ^ [], 48 ^ [], 50 ^ []))], clausify(thIV13)).
% 69.71/67.97 cnf(6, plain, [-(44 ^ [_47586, _47499, _47411, _47322]), apply(_47499, _47322, 43 ^ [_47586, _47499, _47411, _47322])], clausify(least_upper_bound)).
% 69.71/67.97 cnf(7, plain, [-(44 ^ [_47586, _47499, _47411, _47322]), -(upper_bound(43 ^ [_47586, _47499, _47411, _47322], _47499, _47411))], clausify(least_upper_bound)).
% 69.71/67.97 cnf(8, plain, [-(42 ^ [_47586, _47499, _47411, _47322]), -(upper_bound(_47322, _47499, _47411))], clausify(least_upper_bound)).
% 69.71/67.97 cnf(9, plain, [-(32 ^ [_44383, _44315, _44246]), apply(_44246, 31 ^ [_44383, _44315, _44246], _44383)], clausify(greatest)).
% 69.71/67.97 cnf(10, plain, [-(32 ^ [_44383, _44315, _44246]), -(member(31 ^ [_44383, _44315, _44246], _44315))], clausify(greatest)).
% 69.71/67.97 cnf(11, plain, [-(30 ^ [_44383, _44315, _44246]), member(_44608, _44315), -(apply(_44246, _44608, _44383))], clausify(greatest)).
% 69.71/67.97 cnf(12, plain, [-(30 ^ [_44383, _44315, _44246]), -(member(_44383, _44315))], clausify(greatest)).
% 69.71/67.97 cnf(13, plain, [-(27 ^ [_43115, _43053, _42990]), apply(_42990, 26 ^ [_43115, _43053, _42990], _43115)], clausify(upper_bound)).
% 69.71/67.97 cnf(14, plain, [-(27 ^ [_43115, _43053, _42990]), -(member(26 ^ [_43115, _43053, _42990], _43053))], clausify(upper_bound)).
% 69.71/67.97 cnf(15, plain, [53 ^ [], 52 ^ []], clausify(thIV13)).
% 69.71/67.97 cnf(16, plain, [-(upper_bound(_43115, _42990, _43053)), 27 ^ [_43115, _43053, _42990]], clausify(upper_bound)).
% 69.71/67.97 cnf(17, plain, [upper_bound(_43115, _42990, _43053), member(_43275, _43053), -(apply(_42990, _43275, _43115))], clausify(upper_bound)).
% 69.71/67.97 cnf(18, plain, [greatest(_44383, _44246, _44315), 30 ^ [_44383, _44315, _44246]], clausify(greatest)).
% 69.71/67.97 cnf(19, plain, [-(greatest(_44383, _44246, _44315)), member(_44383, _44315), 32 ^ [_44383, _44315, _44246]], clausify(greatest)).
% 69.71/67.97 cnf(20, plain, [least_upper_bound(_47322, _47411, _47499, _47586), 42 ^ [_47586, _47499, _47411, _47322]], clausify(least_upper_bound)).
% 69.71/67.97 cnf(21, plain, [-(least_upper_bound(_47322, _47411, _47499, _47586)), member(_47322, _47411), upper_bound(_47322, _47499, _47411), 44 ^ [_47586, _47499, _47411, _47322]], clausify(least_upper_bound)).
% 69.71/67.97
% 69.71/67.97 cnf('1',plain,[53 ^ [], 52 ^ []],start(15)).
% 69.71/67.97 cnf('1.1',plain,[-(53 ^ []), greatest(51 ^ [], 48 ^ [], 50 ^ [])],extension(1)).
% 69.71/67.97 cnf('1.1.1',plain,[-(greatest(51 ^ [], 48 ^ [], 50 ^ [])), member(51 ^ [], 50 ^ []), 32 ^ [51 ^ [], 50 ^ [], 48 ^ []]],extension(19,bind([[_44383, _44315, _44246], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 69.71/67.97 cnf('1.1.1.1',plain,[-(member(51 ^ [], 50 ^ [])), -(53 ^ [])],extension(3)).
% 69.71/67.97 cnf('1.1.1.1.1',plain,[53 ^ []],reduction('1')).
% 69.71/67.97 cnf('1.1.1.2',plain,[-(32 ^ [51 ^ [], 50 ^ [], 48 ^ []]), apply(48 ^ [], 31 ^ [51 ^ [], 50 ^ [], 48 ^ []], 51 ^ [])],extension(9,bind([[_44315, _44246, _44383], [50 ^ [], 48 ^ [], 51 ^ []]]))).
% 69.71/67.97 cnf('1.1.1.2.1',plain,[-(apply(48 ^ [], 31 ^ [51 ^ [], 50 ^ [], 48 ^ []], 51 ^ [])), upper_bound(51 ^ [], 48 ^ [], 50 ^ []), member(31 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ [])],extension(17,bind([[_43115, _42990, _43275, _43053], [51 ^ [], 48 ^ [], 31 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ []]]))).
% 69.71/67.97 cnf('1.1.1.2.1.1',plain,[-(upper_bound(51 ^ [], 48 ^ [], 50 ^ [])), -(42 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []])],extension(8,bind([[_47586, _47499, _47411, _47322], [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]]))).
% 69.71/67.97 cnf('1.1.1.2.1.1.1',plain,[42 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []], least_upper_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])],extension(20,bind([[_47322, _47411, _47499, _47586], [51 ^ [], 50 ^ [], 48 ^ [], 49 ^ []]]))).
% 69.71/67.97 cnf('1.1.1.2.1.1.1.1',plain,[-(least_upper_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])), -(53 ^ [])],extension(2)).
% 69.71/67.97 cnf('1.1.1.2.1.1.1.1.1',plain,[53 ^ []],reduction('1')).
% 69.71/67.97 cnf('1.1.1.2.1.2',plain,[-(member(31 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ [])), -(32 ^ [51 ^ [], 50 ^ [], 48 ^ []])],extension(10,bind([[_44383, _44315, _44246], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 69.71/67.97 cnf('1.1.1.2.1.2.1',plain,[32 ^ [51 ^ [], 50 ^ [], 48 ^ []]],reduction('1.1.1')).
% 69.71/67.97 cnf('1.2',plain,[-(52 ^ []), member(51 ^ [], 50 ^ []), least_upper_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])],extension(4)).
% 69.71/67.97 cnf('1.2.1',plain,[-(member(51 ^ [], 50 ^ [])), -(30 ^ [51 ^ [], 50 ^ [], 48 ^ []])],extension(12,bind([[_44383, _44315, _44246], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 69.71/67.97 cnf('1.2.1.1',plain,[30 ^ [51 ^ [], 50 ^ [], 48 ^ []], greatest(51 ^ [], 48 ^ [], 50 ^ [])],extension(18,bind([[_44383, _44246, _44315], [51 ^ [], 48 ^ [], 50 ^ []]]))).
% 69.71/67.97 cnf('1.2.1.1.1',plain,[-(greatest(51 ^ [], 48 ^ [], 50 ^ [])), -(52 ^ [])],extension(5)).
% 69.71/67.97 cnf('1.2.1.1.1.1',plain,[52 ^ []],reduction('1')).
% 69.71/67.97 cnf('1.2.2',plain,[-(least_upper_bound(51 ^ [], 50 ^ [], 48 ^ [], 49 ^ [])), member(51 ^ [], 50 ^ []), upper_bound(51 ^ [], 48 ^ [], 50 ^ []), 44 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]],extension(21,bind([[_47586, _47499, _47411, _47322], [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]]))).
% 69.71/67.97 cnf('1.2.2.1',plain,[-(member(51 ^ [], 50 ^ []))],lemmata('1.2')).
% 69.71/67.97 cnf('1.2.2.2',plain,[-(upper_bound(51 ^ [], 48 ^ [], 50 ^ [])), 27 ^ [51 ^ [], 50 ^ [], 48 ^ []]],extension(16,bind([[_43115, _43053, _42990], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 69.71/67.97 cnf('1.2.2.2.1',plain,[-(27 ^ [51 ^ [], 50 ^ [], 48 ^ []]), apply(48 ^ [], 26 ^ [51 ^ [], 50 ^ [], 48 ^ []], 51 ^ [])],extension(13,bind([[_43053, _42990, _43115], [50 ^ [], 48 ^ [], 51 ^ []]]))).
% 69.71/67.97 cnf('1.2.2.2.1.1',plain,[-(apply(48 ^ [], 26 ^ [51 ^ [], 50 ^ [], 48 ^ []], 51 ^ [])), -(30 ^ [51 ^ [], 50 ^ [], 48 ^ []]), member(26 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ [])],extension(11,bind([[_44383, _44246, _44608, _44315], [51 ^ [], 48 ^ [], 26 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ []]]))).
% 69.71/67.97 cnf('1.2.2.2.1.1.1',plain,[30 ^ [51 ^ [], 50 ^ [], 48 ^ []], greatest(51 ^ [], 48 ^ [], 50 ^ [])],extension(18,bind([[_44383, _44246, _44315], [51 ^ [], 48 ^ [], 50 ^ []]]))).
% 69.71/67.97 cnf('1.2.2.2.1.1.1.1',plain,[-(greatest(51 ^ [], 48 ^ [], 50 ^ [])), -(52 ^ [])],extension(5)).
% 69.71/67.97 cnf('1.2.2.2.1.1.1.1.1',plain,[52 ^ []],reduction('1')).
% 69.71/67.97 cnf('1.2.2.2.1.1.2',plain,[-(member(26 ^ [51 ^ [], 50 ^ [], 48 ^ []], 50 ^ [])), -(27 ^ [51 ^ [], 50 ^ [], 48 ^ []])],extension(14,bind([[_43115, _43053, _42990], [51 ^ [], 50 ^ [], 48 ^ []]]))).
% 69.71/67.97 cnf('1.2.2.2.1.1.2.1',plain,[27 ^ [51 ^ [], 50 ^ [], 48 ^ []]],reduction('1.2.2.2')).
% 69.71/67.97 cnf('1.2.2.3',plain,[-(44 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]), apply(48 ^ [], 51 ^ [], 43 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []])],extension(6,bind([[_47586, _47499, _47411, _47322], [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]]))).
% 69.71/67.97 cnf('1.2.2.3.1',plain,[-(apply(48 ^ [], 51 ^ [], 43 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []])), upper_bound(43 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []], 48 ^ [], 50 ^ []), member(51 ^ [], 50 ^ [])],extension(17,bind([[_43115, _42990, _43275, _43053], [43 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []], 48 ^ [], 51 ^ [], 50 ^ []]]))).
% 69.71/67.97 cnf('1.2.2.3.1.1',plain,[-(upper_bound(43 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []], 48 ^ [], 50 ^ [])), -(44 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []])],extension(7,bind([[_47586, _47499, _47411, _47322], [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]]))).
% 69.71/67.97 cnf('1.2.2.3.1.1.1',plain,[44 ^ [49 ^ [], 48 ^ [], 50 ^ [], 51 ^ []]],reduction('1.2.2')).
% 69.71/67.97 cnf('1.2.2.3.1.2',plain,[-(member(51 ^ [], 50 ^ []))],lemmata('1.2.2')).
% 69.71/67.97 %-----------------------------------------------------
% 69.71/67.98
% 69.71/67.98 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------