TSTP Solution File: SWC097+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC097+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n008.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 21:09:15 EDT 2022

% Result   : Theorem 5.44s 5.52s
% Output   : Proof 5.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC097+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 23:52:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 5.44/5.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.44/5.53  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.44/5.53  
% 5.44/5.53  %-----------------------------------------------------
% 5.44/5.53  fof(co1, conjecture, ! [_174532] : (ssList(_174532) => ! [_174547] : (ssList(_174547) => ! [_174562] : (ssList(_174562) => ! [_174577] : (ssList(_174577) => (! _174547) = _174577 | (! _174532) = _174562 | (~ neq(_174547, nil) | ? [_174620] : (ssItem(_174620) & app(_174532, cons(_174620, nil)) = _174547) | ! [_174655] : (ssItem(_174655) => (! app(_174562, cons(_174655, nil))) = _174577)) & (~ neq(_174547, nil) | neq(_174577, nil)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 5.44/5.53  
% 5.44/5.53  cnf(1, plain, [-(54 ^ []), neq(51 ^ [], nil)], clausify(co1)).
% 5.44/5.53  cnf(2, plain, [-(54 ^ []), -(neq(49 ^ [], nil))], clausify(co1)).
% 5.44/5.53  cnf(3, plain, [-(53 ^ []), ssItem(_146904), app(48 ^ [], cons(_146904, nil)) = 49 ^ []], clausify(co1)).
% 5.44/5.53  cnf(4, plain, [-(53 ^ []), -(app(50 ^ [], cons(52 ^ [], nil)) = 51 ^ [])], clausify(co1)).
% 5.44/5.53  cnf(5, plain, [-(53 ^ []), -(ssItem(52 ^ []))], clausify(co1)).
% 5.44/5.53  cnf(6, plain, [-(49 ^ [] = 51 ^ [])], clausify(co1)).
% 5.44/5.53  cnf(7, plain, [-(48 ^ [] = 50 ^ [])], clausify(co1)).
% 5.44/5.53  cnf(8, plain, [54 ^ [], 53 ^ []], clausify(co1)).
% 5.44/5.53  cnf(9, plain, [-(app(_65883, _66016) = app(_65950, _66081)), _65883 = _65950, _66016 = _66081], theory(equality)).
% 5.44/5.53  cnf(10, plain, [-(_55794 = _55794)], theory(equality)).
% 5.44/5.53  cnf(11, plain, [_55947 = _55992, -(_55992 = _55947)], theory(equality)).
% 5.44/5.53  cnf(12, plain, [-(_56226 = _56337), _56226 = _56282, _56282 = _56337], theory(equality)).
% 5.44/5.53  cnf(13, plain, [-(neq(_61500, _61631)), neq(_61433, _61566), _61433 = _61500, _61566 = _61631], theory(equality)).
% 5.44/5.53  
% 5.44/5.53  cnf('1',plain,[54 ^ [], 53 ^ []],start(8)).
% 5.44/5.53  cnf('1.1',plain,[-(54 ^ []), neq(51 ^ [], nil)],extension(1)).
% 5.44/5.53  cnf('1.1.1',plain,[-(neq(51 ^ [], nil)), neq(49 ^ [], nil), 49 ^ [] = 51 ^ [], nil = nil],extension(13,bind([[_61433, _61500, _61566, _61631], [49 ^ [], 51 ^ [], nil, nil]]))).
% 5.44/5.53  cnf('1.1.1.1',plain,[-(neq(49 ^ [], nil)), -(54 ^ [])],extension(2)).
% 5.44/5.53  cnf('1.1.1.1.1',plain,[54 ^ []],reduction('1')).
% 5.44/5.53  cnf('1.1.1.2',plain,[-(49 ^ [] = 51 ^ [])],extension(6)).
% 5.44/5.53  cnf('1.1.1.3',plain,[-(nil = nil)],extension(10,bind([[_55794], [nil]]))).
% 5.44/5.53  cnf('1.2',plain,[-(53 ^ []), ssItem(52 ^ []), app(48 ^ [], cons(52 ^ [], nil)) = 49 ^ []],extension(3,bind([[_146904], [52 ^ []]]))).
% 5.44/5.53  cnf('1.2.1',plain,[-(ssItem(52 ^ [])), -(53 ^ [])],extension(5)).
% 5.44/5.53  cnf('1.2.1.1',plain,[53 ^ []],reduction('1')).
% 5.44/5.53  cnf('1.2.2',plain,[-(app(48 ^ [], cons(52 ^ [], nil)) = 49 ^ []), app(48 ^ [], cons(52 ^ [], nil)) = app(50 ^ [], cons(52 ^ [], nil)), app(50 ^ [], cons(52 ^ [], nil)) = 49 ^ []],extension(12,bind([[_56226, _56282, _56337], [app(48 ^ [], cons(52 ^ [], nil)), app(50 ^ [], cons(52 ^ [], nil)), 49 ^ []]]))).
% 5.44/5.53  cnf('1.2.2.1',plain,[-(app(48 ^ [], cons(52 ^ [], nil)) = app(50 ^ [], cons(52 ^ [], nil))), 48 ^ [] = 50 ^ [], cons(52 ^ [], nil) = cons(52 ^ [], nil)],extension(9,bind([[_65883, _65950, _66016, _66081], [48 ^ [], 50 ^ [], cons(52 ^ [], nil), cons(52 ^ [], nil)]]))).
% 5.44/5.53  cnf('1.2.2.1.1',plain,[-(48 ^ [] = 50 ^ [])],extension(7)).
% 5.44/5.53  cnf('1.2.2.1.2',plain,[-(cons(52 ^ [], nil) = cons(52 ^ [], nil))],extension(10,bind([[_55794], [cons(52 ^ [], nil)]]))).
% 5.44/5.53  cnf('1.2.2.2',plain,[-(app(50 ^ [], cons(52 ^ [], nil)) = 49 ^ []), app(50 ^ [], cons(52 ^ [], nil)) = 51 ^ [], 51 ^ [] = 49 ^ []],extension(12,bind([[_56226, _56282, _56337], [app(50 ^ [], cons(52 ^ [], nil)), 51 ^ [], 49 ^ []]]))).
% 5.44/5.53  cnf('1.2.2.2.1',plain,[-(app(50 ^ [], cons(52 ^ [], nil)) = 51 ^ []), -(53 ^ [])],extension(4)).
% 5.44/5.53  cnf('1.2.2.2.1.1',plain,[53 ^ []],reduction('1')).
% 5.44/5.53  cnf('1.2.2.2.2',plain,[-(51 ^ [] = 49 ^ []), 49 ^ [] = 51 ^ []],extension(11,bind([[_55947, _55992], [49 ^ [], 51 ^ []]]))).
% 5.44/5.53  cnf('1.2.2.2.2.1',plain,[-(49 ^ [] = 51 ^ [])],extension(6)).
% 5.44/5.53  %-----------------------------------------------------
% 5.44/5.54  
% 5.44/5.54  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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