%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU165+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.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  : 300s
% DateTime : Fri May 19 12:02:28 EDT 2023

% Result   : Theorem 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU165+3 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n013.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  : 300
% 0.12/0.33  % DateTime : Thu May 18 13:29:20 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(120 ^ _24302) ^ [] : [129 ^ _24302 : [(130 ^ _24302) ^ [] : [-(in(115 ^ [], 117 ^ []))], (132 ^ _24302) ^ [] : [-(in(116 ^ [], 118 ^ []))], (134 ^ _24302) ^ [] : [in(ordered_pair(115 ^ [], 116 ^ []), cartesian_product2(117 ^ [], 118 ^ []))]], 121 ^ _24302 : [(122 ^ _24302) ^ [] : [-(in(ordered_pair(115 ^ [], 116 ^ []), cartesian_product2(117 ^ [], 118 ^ [])))], (124 ^ _24302) ^ [] : [in(115 ^ [], 117 ^ []), in(116 ^ [], 118 ^ [])]]], (80 ^ _24302) ^ [_27071, _27073] : [-(unordered_pair(_27073, _27071) = unordered_pair(_27071, _27073))], (82 ^ _24302) ^ [_27186, _27188] : [in(_27188, _27186), in(_27186, _27188)], (88 ^ _24302) ^ [_27381, _27383] : [empty(ordered_pair(_27383, _27381))], (91 ^ _24302) ^ [] : [-(empty(89 ^ []))], (94 ^ _24302) ^ [] : [empty(92 ^ [])], (96 ^ _24302) ^ [_27656, _27658] : [-(ordered_pair(_27658, _27656) = unordered_pair(unordered_pair(_27658, _27656), singleton(_27658)))], (98 ^ _24302) ^ [_27813, _27815, _27817, _27819] : [in(ordered_pair(_27819, _27817), cartesian_product2(_27815, _27813)), 101 ^ _24302 : [(102 ^ _24302) ^ [] : [-(in(_27819, _27815))], (104 ^ _24302) ^ [] : [-(in(_27817, _27813))]]], (106 ^ _24302) ^ [_28078, _28080, _28082, _28084] : [-(in(ordered_pair(_28084, _28082), cartesian_product2(_28080, _28078))), in(_28084, _28080), in(_28082, _28078)], (44 ^ _24302) ^ [_25825, _25827, _25829, _25831] : [-(unordered_pair(_25831, _25827) = unordered_pair(_25829, _25825)), _25831 = _25829, _25827 = _25825], (54 ^ _24302) ^ [_26156, _26158] : [_26158 = _26156, -(singleton(_26158) = singleton(_26156))], (60 ^ _24302) ^ [_26402, _26404, _26406, _26408] : [-(ordered_pair(_26408, _26404) = ordered_pair(_26406, _26402)), _26408 = _26406, _26404 = _26402], (70 ^ _24302) ^ [_26741, _26743, _26745, _26747] : [-(cartesian_product2(_26747, _26743) = cartesian_product2(_26745, _26741)), _26747 = _26745, _26743 = _26741], (2 ^ _24302) ^ [_24446] : [-(_24446 = _24446)], (4 ^ _24302) ^ [_24553, _24555] : [_24555 = _24553, -(_24553 = _24555)], (10 ^ _24302) ^ [_24757, _24759, _24761] : [-(_24761 = _24757), _24761 = _24759, _24759 = _24757], (20 ^ _24302) ^ [_25070, _25072] : [-(empty(_25070)), _25072 = _25070, empty(_25072)], (30 ^ _24302) ^ [_25373, _25375, _25377, _25379] : [-(in(_25377, _25373)), in(_25379, _25375), _25379 = _25377, _25375 = _25373]], input).
% 0.33/1.37  ncf('1',plain,[134 : in(ordered_pair(115 ^ [], 116 ^ []), cartesian_product2(117 ^ [], 118 ^ [])), 124 : in(115 ^ [], 117 ^ []), 124 : in(116 ^ [], 118 ^ [])],start(120 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(in(ordered_pair(115 ^ [], 116 ^ []), cartesian_product2(117 ^ [], 118 ^ []))), in(115 ^ [], 117 ^ []), in(116 ^ [], 118 ^ [])],extension(106 ^ 3,bind([[_28078, _28080, _28082, _28084], [118 ^ [], 117 ^ [], 116 ^ [], 115 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(in(115 ^ [], 117 ^ []))],extension(130 ^ 4)).
% 0.33/1.37  ncf('1.1.2',plain,[-(in(116 ^ [], 118 ^ []))],extension(132 ^ 4)).
% 0.33/1.37  ncf('1.2',plain,[-(in(115 ^ [], 117 ^ [])), in(ordered_pair(115 ^ [], 116 ^ []), cartesian_product2(117 ^ [], 118 ^ []))],extension(98 ^ 3,bind([[_27813, _27815, _27817, _27819], [118 ^ [], 117 ^ [], 116 ^ [], 115 ^ []]]))).
% 0.33/1.37  ncf('1.2.1',plain,[-(in(ordered_pair(115 ^ [], 116 ^ []), cartesian_product2(117 ^ [], 118 ^ [])))],extension(122 ^ 4)).
% 0.33/1.37  ncf('1.3',plain,[-(in(116 ^ [], 118 ^ [])), in(ordered_pair(115 ^ [], 116 ^ []), cartesian_product2(117 ^ [], 118 ^ []))],extension(98 ^ 3,bind([[_27813, _27815, _27817, _27819], [118 ^ [], 117 ^ [], 116 ^ [], 115 ^ []]]))).
% 0.33/1.37  ncf('1.3.1',plain,[-(in(ordered_pair(115 ^ [], 116 ^ []), cartesian_product2(117 ^ [], 118 ^ [])))],extension(122 ^ 4)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------