TSTP Solution File: SWC207+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWC207+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 21:09:49 EDT 2022
% Result : Theorem 11.25s 11.74s
% Output : Proof 11.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC207+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 11 23:00:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 11.25/11.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.25/11.75 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.25/11.75
% 11.25/11.75 %-----------------------------------------------------
% 11.25/11.75 fof(co1, conjecture, ! [_176654] : (ssList(_176654) => ! [_176669] : (ssList(_176669) => ! [_176684] : (ssList(_176684) => ! [_176699] : (ssList(_176699) => (! _176669) = _176699 | (! _176654) = _176684 | ~ neq(_176669, nil) | neq(_176654, nil) | ! [_176752] : (ssItem(_176752) => (! cons(_176752, nil)) = _176684 | ~ memberP(_176699, _176752) | ? [_176794] : (ssItem(_176794) & (! _176752) = _176794 & memberP(_176699, _176794) & leq(_176752, _176794))) & ((! nil) = _176699 | (! nil) = _176684))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 11.25/11.75 fof(ax4, axiom, ! [_177571] : (ssList(_177571) => (singletonP(_177571) <=> ? [_177593] : (ssItem(_177593) & cons(_177593, nil) = _177571))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax4)).
% 11.25/11.75 fof(ax15, axiom, ! [_177851] : (ssList(_177851) => ! [_177866] : (ssList(_177866) => (neq(_177851, _177866) <=> (! _177851) = _177866))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax15)).
% 11.25/11.75 fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax17)).
% 11.25/11.75 fof(ax39, axiom, ~ singletonP(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax39)).
% 11.25/11.75
% 11.25/11.75 cnf(1, plain, [-(54 ^ []), -(nil = 51 ^ [])], clausify(co1)).
% 11.25/11.75 cnf(2, plain, [-(53 ^ []), -(cons(52 ^ [], nil) = 50 ^ [])], clausify(co1)).
% 11.25/11.75 cnf(3, plain, [-(53 ^ []), -(ssItem(52 ^ []))], clausify(co1)).
% 11.25/11.75 cnf(4, plain, [-(ssList(48 ^ []))], clausify(co1)).
% 11.25/11.75 cnf(5, plain, [-(ssList(51 ^ []))], clausify(co1)).
% 11.25/11.75 cnf(6, plain, [-(49 ^ [] = 51 ^ [])], clausify(co1)).
% 11.25/11.75 cnf(7, plain, [-(48 ^ [] = 50 ^ [])], clausify(co1)).
% 11.25/11.75 cnf(8, plain, [-(neq(49 ^ [], nil))], clausify(co1)).
% 11.25/11.75 cnf(9, plain, [neq(48 ^ [], nil)], clausify(co1)).
% 11.25/11.75 cnf(10, plain, [54 ^ [], 53 ^ []], clausify(co1)).
% 11.25/11.75 cnf(11, plain, [-(_56100 = _56100)], theory(equality)).
% 11.25/11.75 cnf(12, plain, [_56253 = _56298, -(_56298 = _56253)], theory(equality)).
% 11.25/11.75 cnf(13, plain, [-(_56532 = _56643), _56532 = _56588, _56588 = _56643], theory(equality)).
% 11.25/11.75 cnf(14, plain, [-(neq(_61806, _61937)), neq(_61739, _61872), _61739 = _61806, _61872 = _61937], theory(equality)).
% 11.25/11.75 cnf(15, plain, [-(singletonP(_63660)), _63611 = _63660, singletonP(_63611)], theory(equality)).
% 11.25/11.75 cnf(16, plain, [-(ssList(_64318)), _64269 = _64318, ssList(_64269)], theory(equality)).
% 11.25/11.75 cnf(17, plain, [ssList(_69783), -(singletonP(_69783)), ssItem(_69917), cons(_69917, nil) = _69783], clausify(ax4)).
% 11.25/11.75 cnf(18, plain, [ssList(_81661), ssList(_81756), neq(_81661, _81756), _81661 = _81756], clausify(ax15)).
% 11.25/11.75 cnf(19, plain, [ssList(_81661), ssList(_81756), -(neq(_81661, _81756)), -(_81661 = _81756)], clausify(ax15)).
% 11.25/11.75 cnf(20, plain, [-(ssList(nil))], clausify(ax17)).
% 11.25/11.75 cnf(21, plain, [singletonP(nil)], clausify(ax39)).
% 11.25/11.75
% 11.25/11.75 cnf('1',plain,[54 ^ [], 53 ^ []],start(10)).
% 11.25/11.75 cnf('1.1',plain,[-(54 ^ []), -(nil = 51 ^ [])],extension(1)).
% 11.25/11.75 cnf('1.1.1',plain,[nil = 51 ^ [], -(ssList(51 ^ [])), ssList(nil)],extension(16,bind([[_64318, _64269], [51 ^ [], nil]]))).
% 11.25/11.75 cnf('1.1.1.1',plain,[ssList(51 ^ []), ssList(51 ^ []), neq(51 ^ [], 51 ^ []), 51 ^ [] = 51 ^ []],extension(18,bind([[_81661, _81756], [51 ^ [], 51 ^ []]]))).
% 11.25/11.75 cnf('1.1.1.1.1',plain,[-(ssList(51 ^ []))],extension(5)).
% 11.25/11.75 cnf('1.1.1.1.2',plain,[-(neq(51 ^ [], 51 ^ [])), neq(49 ^ [], nil), 49 ^ [] = 51 ^ [], nil = 51 ^ []],extension(14,bind([[_61739, _61806, _61872, _61937], [49 ^ [], 51 ^ [], nil, 51 ^ []]]))).
% 11.25/11.75 cnf('1.1.1.1.2.1',plain,[-(neq(49 ^ [], nil))],extension(8)).
% 11.25/11.75 cnf('1.1.1.1.2.2',plain,[-(49 ^ [] = 51 ^ [])],extension(6)).
% 11.25/11.75 cnf('1.1.1.1.2.3',plain,[-(nil = 51 ^ [])],reduction('1.1')).
% 11.25/11.75 cnf('1.1.1.1.3',plain,[-(51 ^ [] = 51 ^ [])],extension(11,bind([[_56100], [51 ^ []]]))).
% 11.25/11.75 cnf('1.1.1.2',plain,[-(ssList(nil))],extension(20)).
% 11.25/11.75 cnf('1.2',plain,[-(53 ^ []), -(ssItem(52 ^ []))],extension(3)).
% 11.25/11.75 cnf('1.2.1',plain,[ssItem(52 ^ []), ssList(48 ^ []), -(singletonP(48 ^ [])), cons(52 ^ [], nil) = 48 ^ []],extension(17,bind([[_69917, _69783], [52 ^ [], 48 ^ []]]))).
% 11.25/11.75 cnf('1.2.1.1',plain,[-(ssList(48 ^ []))],extension(4)).
% 11.25/11.75 cnf('1.2.1.2',plain,[singletonP(48 ^ []), -(singletonP(nil)), 48 ^ [] = nil],extension(15,bind([[_63611, _63660], [48 ^ [], nil]]))).
% 11.25/11.75 cnf('1.2.1.2.1',plain,[singletonP(nil)],extension(21)).
% 11.25/11.75 cnf('1.2.1.2.2',plain,[-(48 ^ [] = nil), ssList(48 ^ []), ssList(nil), -(neq(48 ^ [], nil))],extension(19,bind([[_81661, _81756], [48 ^ [], nil]]))).
% 11.25/11.75 cnf('1.2.1.2.2.1',plain,[-(ssList(48 ^ []))],extension(4)).
% 11.25/11.75 cnf('1.2.1.2.2.2',plain,[-(ssList(nil))],extension(20)).
% 11.25/11.75 cnf('1.2.1.2.2.3',plain,[neq(48 ^ [], nil)],extension(9)).
% 11.25/11.75 cnf('1.2.1.3',plain,[-(cons(52 ^ [], nil) = 48 ^ []), cons(52 ^ [], nil) = 50 ^ [], 50 ^ [] = 48 ^ []],extension(13,bind([[_56532, _56588, _56643], [cons(52 ^ [], nil), 50 ^ [], 48 ^ []]]))).
% 11.25/11.75 cnf('1.2.1.3.1',plain,[-(cons(52 ^ [], nil) = 50 ^ []), -(53 ^ [])],extension(2)).
% 11.25/11.75 cnf('1.2.1.3.1.1',plain,[53 ^ []],reduction('1')).
% 11.25/11.75 cnf('1.2.1.3.2',plain,[-(50 ^ [] = 48 ^ []), 48 ^ [] = 50 ^ []],extension(12,bind([[_56253, _56298], [48 ^ [], 50 ^ []]]))).
% 11.25/11.75 cnf('1.2.1.3.2.1',plain,[-(48 ^ [] = 50 ^ [])],extension(7)).
% 11.25/11.75 %-----------------------------------------------------
% 11.31/11.76
% 11.31/11.76 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------