TSTP Solution File: SWC210+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC210+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n009.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 21:09:50 EDT 2022

% Result   : Theorem 4.08s 4.48s
% Output   : Proof 4.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWC210+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.11  % Command  : leancop_casc.sh %s %d
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun Jun 12 11:00:38 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 4.08/4.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.08/4.49  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.08/4.50  
% 4.08/4.50  %-----------------------------------------------------
% 4.08/4.50  fof(co1, conjecture, ! [_172672] : (ssList(_172672) => ! [_172687] : (ssList(_172687) => ! [_172702] : (ssList(_172702) => ! [_172717] : (ssList(_172717) => (! _172687) = _172717 | (! _172672) = _172702 | (~ neq(_172687, nil) | ~ singletonP(_172702) | neq(_172672, nil)) & (~ neq(_172687, nil) | neq(_172717, nil)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 4.08/4.50  fof(ax15, axiom, ! [_173384] : (ssList(_173384) => ! [_173399] : (ssList(_173399) => (neq(_173384, _173399) <=> (! _173384) = _173399))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax15)).
% 4.08/4.50  fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax17)).
% 4.08/4.50  fof(ax39, axiom, ~ singletonP(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax39)).
% 4.08/4.50  
% 4.08/4.50  cnf(1, plain, [-(53 ^ []), neq(51 ^ [], nil)], clausify(co1)).
% 4.08/4.50  cnf(2, plain, [-(53 ^ []), -(neq(49 ^ [], nil))], clausify(co1)).
% 4.08/4.50  cnf(3, plain, [-(52 ^ []), neq(48 ^ [], nil)], clausify(co1)).
% 4.08/4.50  cnf(4, plain, [-(52 ^ []), -(singletonP(50 ^ []))], clausify(co1)).
% 4.08/4.50  cnf(5, plain, [-(ssList(48 ^ []))], clausify(co1)).
% 4.08/4.50  cnf(6, plain, [-(49 ^ [] = 51 ^ [])], clausify(co1)).
% 4.08/4.50  cnf(7, plain, [-(48 ^ [] = 50 ^ [])], clausify(co1)).
% 4.08/4.50  cnf(8, plain, [52 ^ [], 53 ^ []], clausify(co1)).
% 4.08/4.50  cnf(9, plain, [-(_55369 = _55369)], theory(equality)).
% 4.08/4.50  cnf(10, plain, [_55522 = _55567, -(_55567 = _55522)], theory(equality)).
% 4.08/4.50  cnf(11, plain, [-(_55801 = _55912), _55801 = _55857, _55857 = _55912], theory(equality)).
% 4.08/4.50  cnf(12, plain, [-(neq(_61075, _61206)), neq(_61008, _61141), _61008 = _61075, _61141 = _61206], theory(equality)).
% 4.08/4.50  cnf(13, plain, [-(singletonP(_62929)), _62880 = _62929, singletonP(_62880)], theory(equality)).
% 4.08/4.50  cnf(14, plain, [ssList(_80930), ssList(_81025), -(neq(_80930, _81025)), -(_80930 = _81025)], clausify(ax15)).
% 4.08/4.50  cnf(15, plain, [-(ssList(nil))], clausify(ax17)).
% 4.08/4.50  cnf(16, plain, [singletonP(nil)], clausify(ax39)).
% 4.08/4.50  
% 4.08/4.50  cnf('1',plain,[52 ^ [], 53 ^ []],start(8)).
% 4.08/4.50  cnf('1.1',plain,[-(52 ^ []), neq(48 ^ [], nil)],extension(3)).
% 4.08/4.50  cnf('1.1.1',plain,[-(neq(48 ^ [], nil)), ssList(48 ^ []), ssList(nil), -(48 ^ [] = nil)],extension(14,bind([[_80930, _81025], [48 ^ [], nil]]))).
% 4.08/4.50  cnf('1.1.1.1',plain,[-(ssList(48 ^ []))],extension(5)).
% 4.08/4.50  cnf('1.1.1.2',plain,[-(ssList(nil))],extension(15)).
% 4.08/4.50  cnf('1.1.1.3',plain,[48 ^ [] = nil, -(50 ^ [] = nil), 50 ^ [] = 48 ^ []],extension(11,bind([[_55912, _55801, _55857], [nil, 50 ^ [], 48 ^ []]]))).
% 4.08/4.50  cnf('1.1.1.3.1',plain,[50 ^ [] = nil, -(singletonP(nil)), singletonP(50 ^ [])],extension(13,bind([[_62929, _62880], [nil, 50 ^ []]]))).
% 4.08/4.50  cnf('1.1.1.3.1.1',plain,[singletonP(nil)],extension(16)).
% 4.08/4.50  cnf('1.1.1.3.1.2',plain,[-(singletonP(50 ^ [])), -(52 ^ [])],extension(4)).
% 4.08/4.50  cnf('1.1.1.3.1.2.1',plain,[52 ^ []],reduction('1')).
% 4.08/4.50  cnf('1.1.1.3.2',plain,[-(50 ^ [] = 48 ^ []), 48 ^ [] = 50 ^ []],extension(10,bind([[_55522, _55567], [48 ^ [], 50 ^ []]]))).
% 4.08/4.50  cnf('1.1.1.3.2.1',plain,[-(48 ^ [] = 50 ^ [])],extension(7)).
% 4.08/4.50  cnf('1.2',plain,[-(53 ^ []), neq(51 ^ [], nil)],extension(1)).
% 4.08/4.50  cnf('1.2.1',plain,[-(neq(51 ^ [], nil)), neq(49 ^ [], nil), 49 ^ [] = 51 ^ [], nil = nil],extension(12,bind([[_61008, _61075, _61141, _61206], [49 ^ [], 51 ^ [], nil, nil]]))).
% 4.08/4.50  cnf('1.2.1.1',plain,[-(neq(49 ^ [], nil)), -(53 ^ [])],extension(2)).
% 4.08/4.50  cnf('1.2.1.1.1',plain,[53 ^ []],reduction('1')).
% 4.08/4.50  cnf('1.2.1.2',plain,[-(49 ^ [] = 51 ^ [])],extension(6)).
% 4.08/4.50  cnf('1.2.1.3',plain,[-(nil = nil)],extension(9,bind([[_55369], [nil]]))).
% 4.08/4.50  %-----------------------------------------------------
% 4.08/4.50  
% 4.08/4.50  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------