%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KLE150+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n013.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 : Sun Jul 17 02:10:34 EDT 2022

% Result   : Theorem 3.67s 4.51s
% Output   : Proof 3.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KLE150+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n013.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 : Thu Jun 16 07:14:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.67/4.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/4.52  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.67/4.52  
% 3.67/4.52  %-----------------------------------------------------
% 3.67/4.52  fof(goals, conjecture, ! [_29451] : strong_iteration(multiplication(_29451, zero)) = addition(one, multiplication(_29451, zero)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)).
% 3.67/4.52  fof(additive_commutativity, axiom, ! [_29611, _29614] : addition(_29611, _29614) = addition(_29614, _29611), file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax', additive_commutativity)).
% 3.67/4.52  fof(additive_identity, axiom, ! [_29758] : addition(_29758, zero) = _29758, file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax', additive_identity)).
% 3.67/4.52  fof(multiplicative_associativity, axiom, ! [_29878, _29881, _29884] : multiplication(_29878, multiplication(_29881, _29884)) = multiplication(multiplication(_29878, _29881), _29884), file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax', multiplicative_associativity)).
% 3.67/4.52  fof(left_annihilation, axiom, ! [_30071] : multiplication(zero, _30071) = zero, file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax', left_annihilation)).
% 3.67/4.52  fof(infty_unfold1, axiom, ! [_30194] : strong_iteration(_30194) = addition(multiplication(_30194, strong_iteration(_30194)), one), file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax', infty_unfold1)).
% 3.67/4.52  
% 3.67/4.52  cnf(1, plain, [strong_iteration(multiplication(1 ^ [], zero)) = addition(one, multiplication(1 ^ [], zero))], clausify(goals)).
% 3.67/4.52  cnf(2, plain, [-(addition(_12679, _12724) = addition(_12724, _12679))], clausify(additive_commutativity)).
% 3.67/4.52  cnf(3, plain, [-(addition(_13456, zero) = _13456)], clausify(additive_identity)).
% 3.67/4.52  cnf(4, plain, [-(multiplication(_13884, multiplication(_13940, _13995)) = multiplication(multiplication(_13884, _13940), _13995))], clausify(multiplicative_associativity)).
% 3.67/4.52  cnf(5, plain, [-(multiplication(zero, _15805) = zero)], clausify(left_annihilation)).
% 3.67/4.52  cnf(6, plain, [-(strong_iteration(_17669) = addition(multiplication(_17669, strong_iteration(_17669)), one))], clausify(infty_unfold1)).
% 3.67/4.52  cnf(7, plain, [-(_9165 = _9165)], theory(equality)).
% 3.67/4.52  cnf(8, plain, [_9318 = _9363, -(_9363 = _9318)], theory(equality)).
% 3.67/4.52  cnf(9, plain, [-(_9597 = _9708), _9597 = _9653, _9653 = _9708], theory(equality)).
% 3.67/4.52  cnf(10, plain, [-(addition(_10702, _10835) = addition(_10769, _10900)), _10702 = _10769, _10835 = _10900], theory(equality)).
% 3.67/4.52  cnf(11, plain, [-(multiplication(_11326, _11459) = multiplication(_11393, _11524)), _11326 = _11393, _11459 = _11524], theory(equality)).
% 3.67/4.52  
% 3.67/4.52  cnf('1',plain,[strong_iteration(multiplication(1 ^ [], zero)) = addition(one, multiplication(1 ^ [], zero))],start(1)).
% 3.67/4.52  cnf('1.1',plain,[-(strong_iteration(multiplication(1 ^ [], zero)) = addition(one, multiplication(1 ^ [], zero))), strong_iteration(multiplication(1 ^ [], zero)) = addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))), addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))) = addition(one, multiplication(1 ^ [], zero))],extension(9,bind([[_9597, _9653, _9708], [strong_iteration(multiplication(1 ^ [], zero)), addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))), addition(one, multiplication(1 ^ [], zero))]]))).
% 3.67/4.52  cnf('1.1.1',plain,[-(strong_iteration(multiplication(1 ^ [], zero)) = addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))))), addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))) = strong_iteration(multiplication(1 ^ [], zero))],extension(8,bind([[_9318, _9363], [addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))), strong_iteration(multiplication(1 ^ [], zero))]]))).
% 3.67/4.52  cnf('1.1.1.1',plain,[-(addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))) = strong_iteration(multiplication(1 ^ [], zero))), addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))) = addition(multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))), one), addition(multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))), one) = strong_iteration(multiplication(1 ^ [], zero))],extension(9,bind([[_9597, _9653, _9708], [addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))), addition(multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))), one), strong_iteration(multiplication(1 ^ [], zero))]]))).
% 3.67/4.52  cnf('1.1.1.1.1',plain,[-(addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))) = addition(multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))), one))],extension(2,bind([[_12724, _12679], [multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))), one]]))).
% 3.67/4.52  cnf('1.1.1.1.2',plain,[-(addition(multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))), one) = strong_iteration(multiplication(1 ^ [], zero))), strong_iteration(multiplication(1 ^ [], zero)) = addition(multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))), one)],extension(8,bind([[_9318, _9363], [strong_iteration(multiplication(1 ^ [], zero)), addition(multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))), one)]]))).
% 3.67/4.52  cnf('1.1.1.1.2.1',plain,[-(strong_iteration(multiplication(1 ^ [], zero)) = addition(multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))), one))],extension(6,bind([[_17669], [multiplication(1 ^ [], zero)]]))).
% 3.67/4.52  cnf('1.1.2',plain,[-(addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))) = addition(one, multiplication(1 ^ [], zero))), addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))) = addition(addition(one, zero), multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero))))), addition(addition(one, zero), multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero))))) = addition(one, multiplication(1 ^ [], zero))],extension(9,bind([[_9597, _9653, _9708], [addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))), addition(addition(one, zero), multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero))))), addition(one, multiplication(1 ^ [], zero))]]))).
% 3.67/4.52  cnf('1.1.2.1',plain,[-(addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))) = addition(addition(one, zero), multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero)))))), addition(addition(one, zero), multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero))))) = addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))))],extension(8,bind([[_9318, _9363], [addition(addition(one, zero), multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero))))), addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))))]]))).
% 3.67/4.52  cnf('1.1.2.1.1',plain,[-(addition(addition(one, zero), multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero))))) = addition(one, multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))))), addition(one, zero) = one, multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero)))) = multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))],extension(10,bind([[_10702, _10769, _10835, _10900], [addition(one, zero), one, multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero)))), multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero)))]]))).
% 3.67/4.52  cnf('1.1.2.1.1.1',plain,[-(addition(one, zero) = one)],extension(3,bind([[_13456], [one]]))).
% 3.67/4.52  cnf('1.1.2.1.1.2',plain,[-(multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero)))) = multiplication(multiplication(1 ^ [], zero), strong_iteration(multiplication(1 ^ [], zero))))],extension(4,bind([[_13884, _13940, _13995], [1 ^ [], zero, strong_iteration(multiplication(1 ^ [], zero))]]))).
% 3.67/4.52  cnf('1.1.2.2',plain,[-(addition(addition(one, zero), multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero))))) = addition(one, multiplication(1 ^ [], zero))), addition(one, zero) = one, multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero)))) = multiplication(1 ^ [], zero)],extension(10,bind([[_10702, _10769, _10835, _10900], [addition(one, zero), one, multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero)))), multiplication(1 ^ [], zero)]]))).
% 3.67/4.52  cnf('1.1.2.2.1',plain,[-(addition(one, zero) = one)],extension(3,bind([[_13456], [one]]))).
% 3.67/4.52  cnf('1.1.2.2.2',plain,[-(multiplication(1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero)))) = multiplication(1 ^ [], zero)), 1 ^ [] = 1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero))) = zero],extension(11,bind([[_11326, _11393, _11459, _11524], [1 ^ [], 1 ^ [], multiplication(zero, strong_iteration(multiplication(1 ^ [], zero))), zero]]))).
% 3.67/4.52  cnf('1.1.2.2.2.1',plain,[-(1 ^ [] = 1 ^ [])],extension(7,bind([[_9165], [1 ^ []]]))).
% 3.67/4.52  cnf('1.1.2.2.2.2',plain,[-(multiplication(zero, strong_iteration(multiplication(1 ^ [], zero))) = zero)],extension(5,bind([[_15805], [strong_iteration(multiplication(1 ^ [], zero))]]))).
% 3.67/4.52  %-----------------------------------------------------
% 3.67/4.53  
% 3.74/4.53  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------