TSTP Solution File: SET942+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET942+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.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  : 300s
% DateTime : Fri May 19 11:56:43 EDT 2023

% Result   : Theorem 43.21s 42.70s
% Output   : Proof 43.21s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET942+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n012.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May 18 19:06:46 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 43.21/42.70  
% 43.21/42.70  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.21/42.70  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.21/42.70  %-----------------------------------------------------
% 43.21/42.70  ncf(matrix, plain, [(146 ^ _27907) ^ [] : [subset(union(141 ^ []), union(142 ^ []))], (144 ^ _27907) ^ [] : [-(subset(141 ^ [], 142 ^ []))], !, (70 ^ _22865) ^ [_25226, _25228] : [subset(_25228, _25226), 73 ^ _22865 : [(74 ^ _22865) ^ [_25363] : [in(_25363, _25228), -(in(_25363, _25226))]]], (64 ^ _22865) ^ [_24986, _24988] : [in(_24988, _24986), in(_24986, _24988)], (34 ^ _22865) ^ [_24057, _24059] : [-(empty(_24057)), _24059 = _24057, empty(_24059)], (89 ^ _22865) ^ [_25926, _25928] : [_25926 = union(_25928), 92 ^ _22865 : [(102 ^ _22865) ^ [_26434] : [-(in(_26434, _25926)), 103 ^ _22865 : [(104 ^ _22865) ^ [_26532] : [in(_26434, _26532), in(_26532, _25928)]]], (93 ^ _22865) ^ [_26107] : [in(_26107, _25926), 97 ^ _22865 : [(100 ^ _22865) ^ [] : [-(in(96 ^ [_25926, _25928, _26107], _25928))], (98 ^ _22865) ^ [] : [-(in(_26107, 96 ^ [_25926, _25928, _26107]))]]]]], (138 ^ _22865) ^ [] : [empty(136 ^ [])], (44 ^ _22865) ^ [_24360, _24362, _24364, _24366] : [-(subset(_24364, _24360)), subset(_24366, _24362), _24366 = _24364, _24362 = _24360], (2 ^ _22865) ^ [_22989] : [-(_22989 = _22989)], (4 ^ _22865) ^ [_23096, _23098] : [_23098 = _23096, -(_23096 = _23098)], (112 ^ _22865) ^ [_26771, _26773] : [-(_26771 = union(_26773)), 125 ^ _22865 : [(130 ^ _22865) ^ [] : [in(113 ^ [_26771, _26773], _26771)], (128 ^ _22865) ^ [] : [-(in(124 ^ [_26771, _26773], _26773))], (126 ^ _22865) ^ [] : [-(in(113 ^ [_26771, _26773], 124 ^ [_26771, _26773]))]], 116 ^ _22865 : [(119 ^ _22865) ^ [_27054] : [in(113 ^ [_26771, _26773], _27054), in(_27054, _26773)], (117 ^ _22865) ^ [] : [-(in(113 ^ [_26771, _26773], _26771))]]], (10 ^ _22865) ^ [_23300, _23302, _23304] : [-(_23304 = _23300), _23304 = _23302, _23302 = _23300], (80 ^ _22865) ^ [_25540, _25542] : [82 ^ _22865 : [(85 ^ _22865) ^ [] : [in(81 ^ [_25540, _25542], _25540)], (83 ^ _22865) ^ [] : [-(in(81 ^ [_25540, _25542], _25542))]], -(subset(_25542, _25540))], (140 ^ _22865) ^ [_27762, _27764] : [-(subset(_27764, _27764))], (20 ^ _22865) ^ [_23641, _23643, _23645, _23647] : [-(in(_23645, _23641)), in(_23647, _23643), _23647 = _23645, _23643 = _23641], (58 ^ _22865) ^ [_24766, _24768] : [_24768 = _24766, -(union(_24768) = union(_24766))], (135 ^ _22865) ^ [] : [-(empty(133 ^ []))]], input).
% 43.21/42.70  ncf('1',plain,[subset(union(141 ^ []), union(142 ^ []))],start(146 ^ 0)).
% 43.21/42.70  ncf('1.1',plain,[-(subset(union(141 ^ []), union(142 ^ []))), 85 : in(81 ^ [union(142 ^ []), union(141 ^ [])], union(142 ^ []))],extension(80 ^ 1,bind([[_25540, _25542], [union(142 ^ []), union(141 ^ [])]]))).
% 43.21/42.70  ncf('1.1.1',plain,[-(in(81 ^ [union(142 ^ []), union(141 ^ [])], union(142 ^ []))), 104 : in(81 ^ [union(142 ^ []), union(141 ^ [])], 96 ^ [union(141 ^ []), 141 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])]]), 104 : in(96 ^ [union(141 ^ []), 141 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])]], 142 ^ []), 102 : union(142 ^ []) = union(142 ^ [])],extension(89 ^ 4,bind([[_25926, _25928, _26434, _26532], [union(142 ^ []), 142 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])], 96 ^ [union(141 ^ []), 141 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])]]]]))).
% 43.21/42.70  ncf('1.1.1.1',plain,[-(in(81 ^ [union(142 ^ []), union(141 ^ [])], 96 ^ [union(141 ^ []), 141 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])]])), 93 : in(81 ^ [union(142 ^ []), union(141 ^ [])], union(141 ^ [])), 93 : union(141 ^ []) = union(141 ^ [])],extension(89 ^ 9,bind([[_25926, _25928, _26107], [union(141 ^ []), 141 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])]]]))).
% 43.21/42.70  ncf('1.1.1.1.1',plain,[-(in(81 ^ [union(142 ^ []), union(141 ^ [])], union(141 ^ []))), 74 : in(81 ^ [union(142 ^ []), union(141 ^ [])], union(141 ^ [])), 74 : subset(union(141 ^ []), union(141 ^ []))],extension(70 ^ 12,bind([[_25226, _25228, _25363], [union(141 ^ []), union(141 ^ []), 81 ^ [union(142 ^ []), union(141 ^ [])]]]))).
% 43.21/42.70  ncf('1.1.1.1.1.1',plain,[-(in(81 ^ [union(142 ^ []), union(141 ^ [])], union(141 ^ [])))],extension(83 ^ 15)).
% 43.21/42.70  ncf('1.1.1.1.1.2',plain,[-(subset(union(141 ^ []), union(141 ^ [])))],extension(140 ^ 13,bind([[_27762, _27764], [_17028, union(141 ^ [])]]))).
% 43.21/42.70  ncf('1.1.1.1.2',plain,[-(union(141 ^ []) = union(141 ^ []))],extension(2 ^ 10,bind([[_22989], [union(141 ^ [])]]))).
% 43.21/42.70  ncf('1.1.1.2',plain,[-(in(96 ^ [union(141 ^ []), 141 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])]], 142 ^ [])), 74 : in(96 ^ [union(141 ^ []), 141 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])]], 141 ^ []), 74 : subset(141 ^ [], 142 ^ [])],extension(70 ^ 9,bind([[_25226, _25228, _25363], [142 ^ [], 141 ^ [], 96 ^ [union(141 ^ []), 141 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])]]]]))).
% 43.21/42.70  ncf('1.1.1.2.1',plain,[-(in(96 ^ [union(141 ^ []), 141 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])]], 141 ^ [])), 93 : in(81 ^ [union(142 ^ []), union(141 ^ [])], union(141 ^ [])), 93 : union(141 ^ []) = union(141 ^ [])],extension(89 ^ 12,bind([[_25926, _25928, _26107], [union(141 ^ []), 141 ^ [], 81 ^ [union(142 ^ []), union(141 ^ [])]]]))).
% 43.21/42.70  ncf('1.1.1.2.1.1',plain,[-(in(81 ^ [union(142 ^ []), union(141 ^ [])], union(141 ^ [])))],extension(83 ^ 15)).
% 43.21/42.70  ncf('1.1.1.2.1.2',plain,[-(union(141 ^ []) = union(141 ^ []))],extension(2 ^ 13,bind([[_22989], [union(141 ^ [])]]))).
% 43.21/42.70  ncf('1.1.1.2.2',plain,[-(subset(141 ^ [], 142 ^ []))],extension(144 ^ 10)).
% 43.21/42.70  ncf('1.1.1.3',plain,[-(union(142 ^ []) = union(142 ^ []))],extension(2 ^ 5,bind([[_22989], [union(142 ^ [])]]))).
% 43.21/42.70  %-----------------------------------------------------
% 43.21/42.70  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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