TSTP Solution File: SET794+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET794+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 02:56:01 EDT 2022
% Result : Theorem 0.54s 1.39s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET794+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : Mon Jul 11 10:12:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/1.40
% 0.54/1.40 %-----------------------------------------------------
% 0.54/1.40 fof(thIV6, conjecture, ! [_70327, _70330, _70333] : (total_order(_70327, _70330) & min(_70333, _70327, _70330) => least(_70333, _70327, _70330)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIV6)).
% 0.54/1.40 fof(total_order, axiom, ! [_70675, _70678] : (total_order(_70675, _70678) <=> order(_70675, _70678) & ! [_70706, _70709] : (member(_70706, _70678) & member(_70709, _70678) => apply(_70675, _70706, _70709) | apply(_70675, _70709, _70706))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', total_order)).
% 0.54/1.40 fof(least, axiom, ! [_71000, _71003, _71006] : (least(_71006, _71000, _71003) <=> member(_71006, _71003) & ! [_71037] : (member(_71037, _71003) => apply(_71000, _71006, _71037))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', least)).
% 0.54/1.40 fof(min, axiom, ! [_71277, _71280, _71283] : (min(_71283, _71277, _71280) <=> member(_71283, _71280) & ! [_71314] : (member(_71314, _71280) & apply(_71277, _71314, _71283) => _71283 = _71314)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', min)).
% 0.54/1.40
% 0.54/1.40 cnf(1, plain, [-(total_order(17 ^ [], 18 ^ []))], clausify(thIV6)).
% 0.54/1.40 cnf(2, plain, [-(min(19 ^ [], 17 ^ [], 18 ^ []))], clausify(thIV6)).
% 0.54/1.40 cnf(3, plain, [least(19 ^ [], 17 ^ [], 18 ^ [])], clausify(thIV6)).
% 0.54/1.40 cnf(4, plain, [-(_11512 = _11512)], theory(equality)).
% 0.54/1.40 cnf(5, plain, [_11665 = _11710, -(_11710 = _11665)], theory(equality)).
% 0.54/1.40 cnf(6, plain, [-(apply(_12505, _12672, _12835)), apply(_12420, _12589, _12754), _12420 = _12505, _12589 = _12672, _12754 = _12835], theory(equality)).
% 0.54/1.40 cnf(7, plain, [-(member(_20600, _20731)), member(_20533, _20666), _20533 = _20600, _20666 = _20731], theory(equality)).
% 0.54/1.40 cnf(8, plain, [total_order(_26788, _26869), member(_27134, _26869), member(_27067, _26869), -(apply(_26788, _27067, _27134)), -(apply(_26788, _27134, _27067))], clausify(total_order)).
% 0.54/1.40 cnf(9, plain, [-(least(_29806, _29669, _29738)), member(_29806, _29738), -(member(12 ^ [_29806, _29738, _29669], _29738))], clausify(least)).
% 0.54/1.40 cnf(10, plain, [-(least(_29806, _29669, _29738)), member(_29806, _29738), apply(_29669, _29806, 12 ^ [_29806, _29738, _29669])], clausify(least)).
% 0.54/1.40 cnf(11, plain, [min(_31356, _31207, _31282), -(member(_31356, _31282))], clausify(min)).
% 0.54/1.40 cnf(12, plain, [min(_31356, _31207, _31282), -(_31356 = _31587), member(_31587, _31282), apply(_31207, _31587, _31356)], clausify(min)).
% 0.54/1.40
% 0.54/1.40 cnf('1',plain,[least(19 ^ [], 17 ^ [], 18 ^ [])],start(3)).
% 0.54/1.40 cnf('1.1',plain,[-(least(19 ^ [], 17 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ []), -(member(12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []))],extension(9,bind([[_29806, _29669, _29738], [19 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.54/1.40 cnf('1.1.1',plain,[-(member(19 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ []), 19 ^ [] = 19 ^ [], 18 ^ [] = 18 ^ []],extension(7,bind([[_20533, _20600, _20666, _20731], [19 ^ [], 19 ^ [], 18 ^ [], 18 ^ []]]))).
% 0.54/1.40 cnf('1.1.1.1',plain,[-(member(19 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ []), 19 ^ [] = 19 ^ [], 18 ^ [] = 18 ^ []],extension(7,bind([[_20533, _20600, _20666, _20731], [19 ^ [], 19 ^ [], 18 ^ [], 18 ^ []]]))).
% 0.54/1.40 cnf('1.1.1.1.1',plain,[-(member(19 ^ [], 18 ^ [])), min(19 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_31356, _31207, _31282], [19 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.54/1.40 cnf('1.1.1.1.1.1',plain,[-(min(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.54/1.40 cnf('1.1.1.1.2',plain,[-(19 ^ [] = 19 ^ [])],extension(4,bind([[_11512], [19 ^ []]]))).
% 0.54/1.40 cnf('1.1.1.1.3',plain,[-(18 ^ [] = 18 ^ [])],extension(4,bind([[_11512], [18 ^ []]]))).
% 0.54/1.40 cnf('1.1.1.2',plain,[-(19 ^ [] = 19 ^ [])],extension(4,bind([[_11512], [19 ^ []]]))).
% 0.54/1.40 cnf('1.1.1.3',plain,[-(18 ^ [] = 18 ^ [])],extension(4,bind([[_11512], [18 ^ []]]))).
% 0.54/1.40 cnf('1.1.2',plain,[member(12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []), min(19 ^ [], 17 ^ [], 18 ^ []), -(19 ^ [] = 12 ^ [19 ^ [], 18 ^ [], 17 ^ []]), apply(17 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ [])],extension(12,bind([[_31282, _31207, _31587, _31356], [18 ^ [], 17 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []]]))).
% 0.54/1.40 cnf('1.1.2.1',plain,[-(min(19 ^ [], 17 ^ [], 18 ^ []))],extension(2)).
% 0.54/1.40 cnf('1.1.2.2',plain,[19 ^ [] = 12 ^ [19 ^ [], 18 ^ [], 17 ^ []], -(apply(17 ^ [], 19 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []])), apply(17 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []), 17 ^ [] = 17 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []] = 19 ^ []],extension(6,bind([[_12835, _12754, _12420, _12505, _12589, _12672], [12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ [], 17 ^ [], 17 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ []]]))).
% 0.54/1.40 cnf('1.1.2.2.1',plain,[apply(17 ^ [], 19 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []]), -(least(19 ^ [], 17 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ [])],extension(10,bind([[_29669, _29806, _29738], [17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.54/1.40 cnf('1.1.2.2.1.1',plain,[least(19 ^ [], 17 ^ [], 18 ^ [])],extension(3)).
% 0.54/1.40 cnf('1.1.2.2.1.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.54/1.40 cnf('1.1.2.2.2',plain,[-(apply(17 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ [])), total_order(17 ^ [], 18 ^ []), member(19 ^ [], 18 ^ []), member(12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []), -(apply(17 ^ [], 19 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []]))],extension(8,bind([[_26869, _26788, _27134, _27067], [18 ^ [], 17 ^ [], 19 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []]]]))).
% 0.54/1.40 cnf('1.1.2.2.2.1',plain,[-(total_order(17 ^ [], 18 ^ []))],extension(1)).
% 0.54/1.40 cnf('1.1.2.2.2.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.54/1.40 cnf('1.1.2.2.2.3',plain,[-(member(12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []))],reduction('1.1')).
% 0.54/1.40 cnf('1.1.2.2.2.4',plain,[apply(17 ^ [], 19 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []])],lemmata('1.1.2.2')).
% 0.54/1.40 cnf('1.1.2.2.3',plain,[-(17 ^ [] = 17 ^ [])],extension(4,bind([[_11512], [17 ^ []]]))).
% 0.54/1.40 cnf('1.1.2.2.4',plain,[-(12 ^ [19 ^ [], 18 ^ [], 17 ^ []] = 19 ^ []), 19 ^ [] = 12 ^ [19 ^ [], 18 ^ [], 17 ^ []]],extension(5,bind([[_11665, _11710], [19 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []]]]))).
% 0.54/1.40 cnf('1.1.2.2.4.1',plain,[-(19 ^ [] = 12 ^ [19 ^ [], 18 ^ [], 17 ^ []])],reduction('1.1.2')).
% 0.54/1.40 cnf('1.1.2.3',plain,[-(apply(17 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 19 ^ [])), total_order(17 ^ [], 18 ^ []), member(19 ^ [], 18 ^ []), member(12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []), -(apply(17 ^ [], 19 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []]))],extension(8,bind([[_26869, _26788, _27134, _27067], [18 ^ [], 17 ^ [], 19 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []]]]))).
% 0.54/1.40 cnf('1.1.2.3.1',plain,[-(total_order(17 ^ [], 18 ^ []))],extension(1)).
% 0.54/1.40 cnf('1.1.2.3.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1')).
% 0.54/1.40 cnf('1.1.2.3.3',plain,[-(member(12 ^ [19 ^ [], 18 ^ [], 17 ^ []], 18 ^ []))],reduction('1.1')).
% 0.54/1.40 cnf('1.1.2.3.4',plain,[apply(17 ^ [], 19 ^ [], 12 ^ [19 ^ [], 18 ^ [], 17 ^ []]), -(least(19 ^ [], 17 ^ [], 18 ^ [])), member(19 ^ [], 18 ^ [])],extension(10,bind([[_29669, _29806, _29738], [17 ^ [], 19 ^ [], 18 ^ []]]))).
% 0.54/1.40 cnf('1.1.2.3.4.1',plain,[least(19 ^ [], 17 ^ [], 18 ^ [])],extension(3)).
% 0.54/1.40 cnf('1.1.2.3.4.2',plain,[-(member(19 ^ [], 18 ^ []))],lemmata('1.1.2.3')).
% 0.54/1.40 %-----------------------------------------------------
% 0.54/1.41
% 0.54/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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