%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET983+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n022.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 11:56:46 EDT 2023

% Result   : Theorem 2.58s 3.45s
% Output   : Proof 2.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET983+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n022.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  : 300
% 0.12/0.34  % DateTime : Thu May 18 19:04:47 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 2.58/3.45  
% 2.58/3.45  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 2.58/3.45  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.58/3.45  %-----------------------------------------------------
% 2.58/3.45  ncf(matrix, plain, [(130 ^ _22516) ^ [] : [-(in(124 ^ [], cartesian_product2(125 ^ [], 126 ^ [])))], (132 ^ _22516) ^ [] : [-(in(124 ^ [], cartesian_product2(127 ^ [], 128 ^ [])))], (134 ^ _22516) ^ [] : [in(124 ^ [], cartesian_product2(set_intersection2(125 ^ [], 127 ^ []), set_intersection2(126 ^ [], 128 ^ [])))], (64 ^ _22516) ^ [_24715, _24717] : [in(_24717, _24715), in(_24715, _24717)], (70 ^ _22516) ^ [_24911, _24913] : [-(set_intersection2(_24913, _24911) = set_intersection2(_24911, _24913))], (115 ^ _22516) ^ [_26532, _26534] : [-(set_intersection2(_26534, _26534) = _26534)], (118 ^ _22516) ^ [] : [-(empty(116 ^ []))], (121 ^ _22516) ^ [] : [empty(119 ^ [])], (123 ^ _22516) ^ [_26816, _26818, _26820, _26822] : [-(cartesian_product2(set_intersection2(_26822, _26820), set_intersection2(_26818, _26816)) = set_intersection2(cartesian_product2(_26822, _26818), cartesian_product2(_26820, _26816)))], (94 ^ _22516) ^ [_25794, _25796, _25798] : [-(_25794 = set_intersection2(_25798, _25796)), 106 ^ _22516 : [(107 ^ _22516) ^ [] : [-(in(95 ^ [_25794, _25796, _25798], _25798))], (109 ^ _22516) ^ [] : [-(in(95 ^ [_25794, _25796, _25798], _25796))], (111 ^ _22516) ^ [] : [in(95 ^ [_25794, _25796, _25798], _25794)]], 98 ^ _22516 : [(99 ^ _22516) ^ [] : [-(in(95 ^ [_25794, _25796, _25798], _25794))], (101 ^ _22516) ^ [] : [in(95 ^ [_25794, _25796, _25798], _25798), in(95 ^ [_25794, _25796, _25798], _25796)]]], (72 ^ _22516) ^ [_25069, _25071, _25073] : [_25069 = set_intersection2(_25073, _25071), 75 ^ _22516 : [(76 ^ _22516) ^ [_25251] : [in(_25251, _25069), 79 ^ _22516 : [(80 ^ _22516) ^ [] : [-(in(_25251, _25073))], (82 ^ _22516) ^ [] : [-(in(_25251, _25071))]]], (84 ^ _22516) ^ [_25510] : [-(in(_25510, _25069)), in(_25510, _25073), in(_25510, _25071)]]], (44 ^ _22516) ^ [_24039, _24041, _24043, _24045] : [-(cartesian_product2(_24045, _24041) = cartesian_product2(_24043, _24039)), _24045 = _24043, _24041 = _24039], (54 ^ _22516) ^ [_24378, _24380, _24382, _24384] : [-(set_intersection2(_24384, _24380) = set_intersection2(_24382, _24378)), _24384 = _24382, _24380 = _24378], (2 ^ _22516) ^ [_22660] : [-(_22660 = _22660)], (4 ^ _22516) ^ [_22767, _22769] : [_22769 = _22767, -(_22767 = _22769)], (10 ^ _22516) ^ [_22971, _22973, _22975] : [-(_22975 = _22971), _22975 = _22973, _22973 = _22971], (20 ^ _22516) ^ [_23284, _23286] : [-(empty(_23284)), _23286 = _23284, empty(_23286)], (30 ^ _22516) ^ [_23587, _23589, _23591, _23593] : [-(in(_23591, _23587)), in(_23593, _23589), _23593 = _23591, _23589 = _23587]], input).
% 2.58/3.45  ncf('1',plain,[in(124 ^ [], cartesian_product2(set_intersection2(125 ^ [], 127 ^ []), set_intersection2(126 ^ [], 128 ^ [])))],start(134 ^ 0)).
% 2.58/3.45  ncf('1.1',plain,[-(in(124 ^ [], cartesian_product2(set_intersection2(125 ^ [], 127 ^ []), set_intersection2(126 ^ [], 128 ^ [])))), 84 : in(124 ^ [], cartesian_product2(125 ^ [], 126 ^ [])), 84 : in(124 ^ [], cartesian_product2(127 ^ [], 128 ^ [])), 84 : cartesian_product2(set_intersection2(125 ^ [], 127 ^ []), set_intersection2(126 ^ [], 128 ^ [])) = set_intersection2(cartesian_product2(125 ^ [], 126 ^ []), cartesian_product2(127 ^ [], 128 ^ []))],extension(72 ^ 1,bind([[_25069, _25071, _25073, _25510], [cartesian_product2(set_intersection2(125 ^ [], 127 ^ []), set_intersection2(126 ^ [], 128 ^ [])), cartesian_product2(127 ^ [], 128 ^ []), cartesian_product2(125 ^ [], 126 ^ []), 124 ^ []]]))).
% 2.58/3.45  ncf('1.1.1',plain,[-(in(124 ^ [], cartesian_product2(125 ^ [], 126 ^ [])))],extension(130 ^ 4)).
% 2.58/3.45  ncf('1.1.2',plain,[-(in(124 ^ [], cartesian_product2(127 ^ [], 128 ^ [])))],extension(132 ^ 4)).
% 2.58/3.45  ncf('1.1.3',plain,[-(cartesian_product2(set_intersection2(125 ^ [], 127 ^ []), set_intersection2(126 ^ [], 128 ^ [])) = set_intersection2(cartesian_product2(125 ^ [], 126 ^ []), cartesian_product2(127 ^ [], 128 ^ [])))],extension(123 ^ 2,bind([[_26816, _26818, _26820, _26822], [128 ^ [], 126 ^ [], 127 ^ [], 125 ^ []]]))).
% 2.58/3.45  %-----------------------------------------------------
% 2.58/3.45  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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