TSTP Solution File: SEU305+1 by leanCoP---2.2

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n012.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 12:01:51 EDT 2022

% Result   : Theorem 244.01s 235.34s
% Output   : Proof 244.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n012.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 : Sat Jun 18 19:10:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 244.01/235.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 244.01/235.35  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 244.01/235.35  
% 244.01/235.35  %-----------------------------------------------------
% 244.01/235.35  fof(t26_lattices, conjecture, ! [_105385] : (~ empty_carrier(_105385) & join_commutative(_105385) & join_semilatt_str(_105385) => ! [_105416] : (element(_105416, the_carrier(_105385)) => ! [_105438] : (element(_105438, the_carrier(_105385)) => below(_105385, _105416, _105438) & below(_105385, _105438, _105416) => _105416 = _105438))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t26_lattices)).
% 244.01/235.35  fof(d3_lattices, axiom, ! [_105816] : (~ empty_carrier(_105816) & join_semilatt_str(_105816) => ! [_105840] : (element(_105840, the_carrier(_105816)) => ! [_105862] : (element(_105862, the_carrier(_105816)) => (below(_105816, _105840, _105862) <=> join(_105816, _105840, _105862) = _105862)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_lattices)).
% 244.01/235.35  fof(redefinition_k3_lattices, axiom, ! [_106166, _106169, _106172] : (~ empty_carrier(_106166) & join_commutative(_106166) & join_semilatt_str(_106166) & element(_106169, the_carrier(_106166)) & element(_106172, the_carrier(_106166)) => join_commut(_106166, _106169, _106172) = join(_106166, _106169, _106172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k3_lattices)).
% 244.01/235.35  fof(commutativity_k3_lattices, axiom, ! [_106530, _106533, _106536] : (~ empty_carrier(_106530) & join_commutative(_106530) & join_semilatt_str(_106530) & element(_106533, the_carrier(_106530)) & element(_106536, the_carrier(_106530)) => join_commut(_106530, _106533, _106536) = join_commut(_106530, _106536, _106533)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k3_lattices)).
% 244.01/235.35  
% 244.01/235.35  cnf(1, plain, [-(join_commutative(12 ^ []))], clausify(t26_lattices)).
% 244.01/235.35  cnf(2, plain, [-(element(14 ^ [], the_carrier(12 ^ [])))], clausify(t26_lattices)).
% 244.01/235.35  cnf(3, plain, [13 ^ [] = 14 ^ []], clausify(t26_lattices)).
% 244.01/235.35  cnf(4, plain, [-(_21938 = _21938)], theory(equality)).
% 244.01/235.35  cnf(5, plain, [-(below(_22931, _23098, _23261)), below(_22846, _23015, _23180), _22846 = _22931, _23015 = _23098, _23180 = _23261], theory(equality)).
% 244.01/235.35  cnf(6, plain, [join_semilatt_str(_42275), -(empty_carrier(_42275)), element(_42465, the_carrier(_42275)), element(_42610, the_carrier(_42275)), 2 ^ [_42610, _42465, _42275]], clausify(d3_lattices)).
% 244.01/235.35  cnf(7, plain, [-(join_commut(_53353, _53438, _53522) = join(_53353, _53438, _53522)), -(empty_carrier(_53353)), join_commutative(_53353), join_semilatt_str(_53353), element(_53438, the_carrier(_53353)), element(_53522, the_carrier(_53353))], clausify(redefinition_k3_lattices)).
% 244.01/235.35  cnf(8, plain, [-(join_semilatt_str(12 ^ []))], clausify(t26_lattices)).
% 244.01/235.35  cnf(9, plain, [-(below(12 ^ [], 13 ^ [], 14 ^ []))], clausify(t26_lattices)).
% 244.01/235.35  cnf(10, plain, [_22091 = _22136, -(_22136 = _22091)], theory(equality)).
% 244.01/235.35  cnf(11, plain, [-(join_commut(_40328, _40413, _40497) = join_commut(_40328, _40497, _40413)), -(empty_carrier(_40328)), join_commutative(_40328), join_semilatt_str(_40328), element(_40413, the_carrier(_40328)), element(_40497, the_carrier(_40328))], clausify(commutativity_k3_lattices)).
% 244.01/235.35  cnf(12, plain, [-(2 ^ [_42610, _42465, _42275]), below(_42275, _42465, _42610), -(join(_42275, _42465, _42610) = _42610)], clausify(d3_lattices)).
% 244.01/235.35  cnf(13, plain, [empty_carrier(12 ^ [])], clausify(t26_lattices)).
% 244.01/235.35  cnf(14, plain, [-(element(13 ^ [], the_carrier(12 ^ [])))], clausify(t26_lattices)).
% 244.01/235.35  cnf(15, plain, [-(below(12 ^ [], 14 ^ [], 13 ^ []))], clausify(t26_lattices)).
% 244.01/235.35  cnf(16, plain, [-(_22370 = _22481), _22370 = _22426, _22426 = _22481], theory(equality)).
% 244.01/235.35  
% 244.01/235.35  cnf('1',plain,[13 ^ [] = 14 ^ []],start(3)).
% 244.01/235.35  cnf('1.1',plain,[-(13 ^ [] = 14 ^ []), 13 ^ [] = join(12 ^ [], 14 ^ [], 13 ^ []), join(12 ^ [], 14 ^ [], 13 ^ []) = 14 ^ []],extension(16,bind([[_22370, _22426, _22481], [13 ^ [], join(12 ^ [], 14 ^ [], 13 ^ []), 14 ^ []]]))).
% 244.01/235.35  cnf('1.1.1',plain,[-(13 ^ [] = join(12 ^ [], 14 ^ [], 13 ^ [])), join(12 ^ [], 14 ^ [], 13 ^ []) = 13 ^ []],extension(10,bind([[_22091, _22136], [join(12 ^ [], 14 ^ [], 13 ^ []), 13 ^ []]]))).
% 244.01/235.35  cnf('1.1.1.1',plain,[-(join(12 ^ [], 14 ^ [], 13 ^ []) = 13 ^ []), -(2 ^ [13 ^ [], 14 ^ [], 12 ^ []]), below(12 ^ [], 14 ^ [], 13 ^ [])],extension(12,bind([[_42275, _42465, _42610], [12 ^ [], 14 ^ [], 13 ^ []]]))).
% 244.01/235.35  cnf('1.1.1.1.1',plain,[2 ^ [13 ^ [], 14 ^ [], 12 ^ []], join_semilatt_str(12 ^ []), -(empty_carrier(12 ^ [])), element(14 ^ [], the_carrier(12 ^ [])), element(13 ^ [], the_carrier(12 ^ []))],extension(6,bind([[_42465, _42610, _42275], [14 ^ [], 13 ^ [], 12 ^ []]]))).
% 244.01/235.35  cnf('1.1.1.1.1.1',plain,[-(join_semilatt_str(12 ^ []))],extension(8)).
% 244.01/235.35  cnf('1.1.1.1.1.2',plain,[empty_carrier(12 ^ [])],extension(13)).
% 244.01/235.35  cnf('1.1.1.1.1.3',plain,[-(element(14 ^ [], the_carrier(12 ^ [])))],extension(2)).
% 244.01/235.35  cnf('1.1.1.1.1.4',plain,[-(element(13 ^ [], the_carrier(12 ^ [])))],extension(14)).
% 244.01/235.35  cnf('1.1.1.1.2',plain,[-(below(12 ^ [], 14 ^ [], 13 ^ [])), below(12 ^ [], 14 ^ [], 13 ^ []), 12 ^ [] = 12 ^ [], 14 ^ [] = 14 ^ [], 13 ^ [] = 13 ^ []],extension(5,bind([[_22846, _22931, _23015, _23098, _23180, _23261], [12 ^ [], 12 ^ [], 14 ^ [], 14 ^ [], 13 ^ [], 13 ^ []]]))).
% 244.01/235.35  cnf('1.1.1.1.2.1',plain,[-(below(12 ^ [], 14 ^ [], 13 ^ []))],extension(15)).
% 244.01/235.35  cnf('1.1.1.1.2.2',plain,[-(12 ^ [] = 12 ^ [])],extension(4,bind([[_21938], [12 ^ []]]))).
% 244.01/235.35  cnf('1.1.1.1.2.3',plain,[-(14 ^ [] = 14 ^ [])],extension(4,bind([[_21938], [14 ^ []]]))).
% 244.01/235.35  cnf('1.1.1.1.2.4',plain,[-(13 ^ [] = 13 ^ [])],extension(4,bind([[_21938], [13 ^ []]]))).
% 244.01/235.35  cnf('1.1.2',plain,[-(join(12 ^ [], 14 ^ [], 13 ^ []) = 14 ^ []), join(12 ^ [], 14 ^ [], 13 ^ []) = join_commut(12 ^ [], 14 ^ [], 13 ^ []), join_commut(12 ^ [], 14 ^ [], 13 ^ []) = 14 ^ []],extension(16,bind([[_22370, _22426, _22481], [join(12 ^ [], 14 ^ [], 13 ^ []), join_commut(12 ^ [], 14 ^ [], 13 ^ []), 14 ^ []]]))).
% 244.01/235.35  cnf('1.1.2.1',plain,[-(join(12 ^ [], 14 ^ [], 13 ^ []) = join_commut(12 ^ [], 14 ^ [], 13 ^ [])), join_commut(12 ^ [], 14 ^ [], 13 ^ []) = join(12 ^ [], 14 ^ [], 13 ^ [])],extension(10,bind([[_22091, _22136], [join_commut(12 ^ [], 14 ^ [], 13 ^ []), join(12 ^ [], 14 ^ [], 13 ^ [])]]))).
% 244.01/235.35  cnf('1.1.2.1.1',plain,[-(join_commut(12 ^ [], 14 ^ [], 13 ^ []) = join(12 ^ [], 14 ^ [], 13 ^ [])), -(empty_carrier(12 ^ [])), join_commutative(12 ^ []), join_semilatt_str(12 ^ []), element(14 ^ [], the_carrier(12 ^ [])), element(13 ^ [], the_carrier(12 ^ []))],extension(7,bind([[_53438, _53522, _53353], [14 ^ [], 13 ^ [], 12 ^ []]]))).
% 244.01/235.35  cnf('1.1.2.1.1.1',plain,[empty_carrier(12 ^ [])],extension(13)).
% 244.01/235.35  cnf('1.1.2.1.1.2',plain,[-(join_commutative(12 ^ []))],extension(1)).
% 244.01/235.35  cnf('1.1.2.1.1.3',plain,[-(join_semilatt_str(12 ^ []))],extension(8)).
% 244.01/235.35  cnf('1.1.2.1.1.4',plain,[-(element(14 ^ [], the_carrier(12 ^ [])))],extension(2)).
% 244.01/235.35  cnf('1.1.2.1.1.5',plain,[-(element(13 ^ [], the_carrier(12 ^ [])))],extension(14)).
% 244.01/235.35  cnf('1.1.2.2',plain,[-(join_commut(12 ^ [], 14 ^ [], 13 ^ []) = 14 ^ []), join_commut(12 ^ [], 14 ^ [], 13 ^ []) = join(12 ^ [], 13 ^ [], 14 ^ []), join(12 ^ [], 13 ^ [], 14 ^ []) = 14 ^ []],extension(16,bind([[_22370, _22426, _22481], [join_commut(12 ^ [], 14 ^ [], 13 ^ []), join(12 ^ [], 13 ^ [], 14 ^ []), 14 ^ []]]))).
% 244.01/235.35  cnf('1.1.2.2.1',plain,[-(join_commut(12 ^ [], 14 ^ [], 13 ^ []) = join(12 ^ [], 13 ^ [], 14 ^ [])), join_commut(12 ^ [], 14 ^ [], 13 ^ []) = join_commut(12 ^ [], 13 ^ [], 14 ^ []), join_commut(12 ^ [], 13 ^ [], 14 ^ []) = join(12 ^ [], 13 ^ [], 14 ^ [])],extension(16,bind([[_22370, _22426, _22481], [join_commut(12 ^ [], 14 ^ [], 13 ^ []), join_commut(12 ^ [], 13 ^ [], 14 ^ []), join(12 ^ [], 13 ^ [], 14 ^ [])]]))).
% 244.01/235.35  cnf('1.1.2.2.1.1',plain,[-(join_commut(12 ^ [], 14 ^ [], 13 ^ []) = join_commut(12 ^ [], 13 ^ [], 14 ^ [])), -(empty_carrier(12 ^ [])), join_commutative(12 ^ []), join_semilatt_str(12 ^ []), element(14 ^ [], the_carrier(12 ^ [])), element(13 ^ [], the_carrier(12 ^ []))],extension(11,bind([[_40413, _40497, _40328], [14 ^ [], 13 ^ [], 12 ^ []]]))).
% 244.01/235.35  cnf('1.1.2.2.1.1.1',plain,[empty_carrier(12 ^ [])],extension(13)).
% 244.01/235.35  cnf('1.1.2.2.1.1.2',plain,[-(join_commutative(12 ^ []))],extension(1)).
% 244.01/235.35  cnf('1.1.2.2.1.1.3',plain,[-(join_semilatt_str(12 ^ []))],extension(8)).
% 244.01/235.35  cnf('1.1.2.2.1.1.4',plain,[-(element(14 ^ [], the_carrier(12 ^ [])))],extension(2)).
% 244.01/235.35  cnf('1.1.2.2.1.1.5',plain,[-(element(13 ^ [], the_carrier(12 ^ [])))],extension(14)).
% 244.01/235.35  cnf('1.1.2.2.1.2',plain,[-(join_commut(12 ^ [], 13 ^ [], 14 ^ []) = join(12 ^ [], 13 ^ [], 14 ^ [])), -(empty_carrier(12 ^ [])), join_commutative(12 ^ []), join_semilatt_str(12 ^ []), element(13 ^ [], the_carrier(12 ^ [])), element(14 ^ [], the_carrier(12 ^ []))],extension(7,bind([[_53438, _53522, _53353], [13 ^ [], 14 ^ [], 12 ^ []]]))).
% 244.01/235.35  cnf('1.1.2.2.1.2.1',plain,[empty_carrier(12 ^ [])],extension(13)).
% 244.01/235.35  cnf('1.1.2.2.1.2.2',plain,[-(join_commutative(12 ^ []))],extension(1)).
% 244.01/235.35  cnf('1.1.2.2.1.2.3',plain,[-(join_semilatt_str(12 ^ []))],extension(8)).
% 244.01/235.35  cnf('1.1.2.2.1.2.4',plain,[-(element(13 ^ [], the_carrier(12 ^ [])))],extension(14)).
% 244.01/235.35  cnf('1.1.2.2.1.2.5',plain,[-(element(14 ^ [], the_carrier(12 ^ [])))],extension(2)).
% 244.01/235.35  cnf('1.1.2.2.2',plain,[-(join(12 ^ [], 13 ^ [], 14 ^ []) = 14 ^ []), -(2 ^ [14 ^ [], 13 ^ [], 12 ^ []]), below(12 ^ [], 13 ^ [], 14 ^ [])],extension(12,bind([[_42275, _42465, _42610], [12 ^ [], 13 ^ [], 14 ^ []]]))).
% 244.01/235.35  cnf('1.1.2.2.2.1',plain,[2 ^ [14 ^ [], 13 ^ [], 12 ^ []], join_semilatt_str(12 ^ []), -(empty_carrier(12 ^ [])), element(13 ^ [], the_carrier(12 ^ [])), element(14 ^ [], the_carrier(12 ^ []))],extension(6,bind([[_42465, _42610, _42275], [13 ^ [], 14 ^ [], 12 ^ []]]))).
% 244.01/235.35  cnf('1.1.2.2.2.1.1',plain,[-(join_semilatt_str(12 ^ []))],extension(8)).
% 244.01/235.35  cnf('1.1.2.2.2.1.2',plain,[empty_carrier(12 ^ [])],extension(13)).
% 244.01/235.35  cnf('1.1.2.2.2.1.3',plain,[-(element(13 ^ [], the_carrier(12 ^ [])))],extension(14)).
% 244.01/235.35  cnf('1.1.2.2.2.1.4',plain,[-(element(14 ^ [], the_carrier(12 ^ [])))],extension(2)).
% 244.01/235.35  cnf('1.1.2.2.2.2',plain,[-(below(12 ^ [], 13 ^ [], 14 ^ []))],extension(9)).
% 244.01/235.35  %-----------------------------------------------------
% 244.01/235.36  
% 244.01/235.36  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------