TSTP Solution File: SET688+4 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET688+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:56:17 EDT 2023

% Result   : Theorem 146.05s 141.97s
% Output   : Proof 146.05s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET688+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 19:23:33 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 146.05/141.97  
% 146.05/141.97  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 146.05/141.97  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 146.05/141.97  %-----------------------------------------------------
% 146.05/141.97  ncf(matrix, plain, [(178 ^ _23034) ^ [] : [-(subset(174 ^ [], 175 ^ []))], (180 ^ _23034) ^ [] : [equal_set(174 ^ [], 175 ^ [])], (182 ^ _23034) ^ [] : [-(subset(175 ^ [], 176 ^ []))], (184 ^ _23034) ^ [] : [equal_set(175 ^ [], 176 ^ [])], (186 ^ _23034) ^ [] : [-(equal_set(174 ^ [], 176 ^ []))], (12 ^ _23034) ^ [_23490, _23492] : [14 ^ _23034 : [(15 ^ _23034) ^ [] : [-(member(13 ^ [_23490, _23492], _23492))], (17 ^ _23034) ^ [] : [member(13 ^ [_23490, _23492], _23490)]], -(subset(_23492, _23490))], (2 ^ _23034) ^ [_23176, _23178] : [subset(_23178, _23176), 5 ^ _23034 : [(6 ^ _23034) ^ [_23313] : [member(_23313, _23178), -(member(_23313, _23176))]]], (21 ^ _23034) ^ [_23876, _23878] : [equal_set(_23878, _23876), 24 ^ _23034 : [(25 ^ _23034) ^ [] : [-(subset(_23878, _23876))], (27 ^ _23034) ^ [] : [-(subset(_23876, _23878))]]], (29 ^ _23034) ^ [_24113, _24115] : [-(equal_set(_24115, _24113)), subset(_24115, _24113), subset(_24113, _24115)], (39 ^ _23034) ^ [_24443, _24445] : [member(_24445, power_set(_24443)), -(subset(_24445, _24443))], (45 ^ _23034) ^ [_24609, _24611] : [subset(_24611, _24609), -(member(_24611, power_set(_24609)))], (51 ^ _23034) ^ [_24868, _24870, _24872] : [member(_24872, intersection(_24870, _24868)), 54 ^ _23034 : [(55 ^ _23034) ^ [] : [-(member(_24872, _24870))], (57 ^ _23034) ^ [] : [-(member(_24872, _24868))]]], (59 ^ _23034) ^ [_25119, _25121, _25123] : [-(member(_25123, intersection(_25121, _25119))), member(_25123, _25121), member(_25123, _25119)], (79 ^ _23034) ^ [_25747, _25749, _25751] : [80 ^ _23034 : [(81 ^ _23034) ^ [] : [member(_25751, _25749)], (83 ^ _23034) ^ [] : [member(_25751, _25747)]], -(member(_25751, union(_25749, _25747)))], (69 ^ _23034) ^ [_25479, _25481, _25483] : [member(_25483, union(_25481, _25479)), -(member(_25483, _25481)), -(member(_25483, _25479))], (87 ^ _23034) ^ [_26017] : [member(_26017, empty_set)], (89 ^ _23034) ^ [_26167, _26169, _26171] : [member(_26171, difference(_26167, _26169)), 92 ^ _23034 : [(93 ^ _23034) ^ [] : [-(member(_26171, _26167))], (95 ^ _23034) ^ [] : [member(_26171, _26169)]]], (97 ^ _23034) ^ [_26419, _26421, _26423] : [-(member(_26423, difference(_26419, _26421))), member(_26423, _26419), -(member(_26423, _26421))], (107 ^ _23034) ^ [_26768, _26770] : [member(_26770, singleton(_26768)), -(_26770 = _26768)], (113 ^ _23034) ^ [_26934, _26936] : [_26936 = _26934, -(member(_26936, singleton(_26934)))], (129 ^ _23034) ^ [_27461, _27463, _27465] : [130 ^ _23034 : [(131 ^ _23034) ^ [] : [_27465 = _27463], (133 ^ _23034) ^ [] : [_27465 = _27461]], -(member(_27465, unordered_pair(_27463, _27461)))], (119 ^ _23034) ^ [_27193, _27195, _27197] : [member(_27197, unordered_pair(_27195, _27193)), -(_27197 = _27195), -(_27197 = _27193)], (137 ^ _23034) ^ [_27790, _27792] : [member(_27792, sum(_27790)), 141 ^ _23034 : [(142 ^ _23034) ^ [] : [-(member(140 ^ [_27790, _27792], _27790))], (144 ^ _23034) ^ [] : [-(member(_27792, 140 ^ [_27790, _27792]))]]], (146 ^ _23034) ^ [_28101, _28103] : [-(member(_28103, sum(_28101))), 147 ^ _23034 : [(148 ^ _23034) ^ [_28195] : [member(_28195, _28101), member(_28103, _28195)]]], (166 ^ _23034) ^ [_28796, _28798] : [168 ^ _23034 : [(169 ^ _23034) ^ [] : [-(member(167 ^ [_28796, _28798], _28796))], (171 ^ _23034) ^ [] : [member(_28798, 167 ^ [_28796, _28798])]], -(member(_28798, product(_28796)))], (156 ^ _23034) ^ [_28478, _28480] : [member(_28480, product(_28478)), 159 ^ _23034 : [(160 ^ _23034) ^ [_28619] : [member(_28619, _28478), -(member(_28480, _28619))]]]], input).
% 146.05/141.97  ncf('1',plain,[equal_set(174 ^ [], 175 ^ [])],start(180 ^ 0)).
% 146.05/141.97  ncf('1.1',plain,[-(equal_set(174 ^ [], 175 ^ [])), subset(174 ^ [], 175 ^ []), subset(175 ^ [], 174 ^ [])],extension(29 ^ 1,bind([[_24113, _24115], [175 ^ [], 174 ^ []]]))).
% 146.05/141.97  ncf('1.1.1',plain,[-(subset(174 ^ [], 175 ^ []))],extension(178 ^ 2)).
% 146.05/141.97  ncf('1.1.2',plain,[-(subset(175 ^ [], 174 ^ [])), 15 : -(member(13 ^ [174 ^ [], 175 ^ []], 175 ^ []))],extension(12 ^ 2,bind([[_23490, _23492], [174 ^ [], 175 ^ []]]))).
% 146.05/141.97  ncf('1.1.2.1',plain,[member(13 ^ [174 ^ [], 175 ^ []], 175 ^ []), 6 : -(member(13 ^ [174 ^ [], 175 ^ []], 176 ^ [])), 6 : subset(175 ^ [], 176 ^ [])],extension(2 ^ 5,bind([[_23176, _23178, _23313], [176 ^ [], 175 ^ [], 13 ^ [174 ^ [], 175 ^ []]]]))).
% 146.05/141.97  ncf('1.1.2.1.1',plain,[member(13 ^ [174 ^ [], 175 ^ []], 176 ^ []), 6 : -(member(13 ^ [174 ^ [], 175 ^ []], 174 ^ [])), 6 : subset(176 ^ [], 174 ^ [])],extension(2 ^ 8,bind([[_23176, _23178, _23313], [174 ^ [], 176 ^ [], 13 ^ [174 ^ [], 175 ^ []]]]))).
% 146.05/141.97  ncf('1.1.2.1.1.1',plain,[member(13 ^ [174 ^ [], 175 ^ []], 174 ^ [])],extension(17 ^ 11)).
% 146.05/141.97  ncf('1.1.2.1.1.2',plain,[-(subset(176 ^ [], 174 ^ [])), equal_set(174 ^ [], 176 ^ [])],extension(21 ^ 9,bind([[_23876, _23878], [176 ^ [], 174 ^ []]]))).
% 146.05/141.97  ncf('1.1.2.1.1.2.1',plain,[-(equal_set(174 ^ [], 176 ^ []))],extension(186 ^ 10)).
% 146.05/141.97  ncf('1.1.2.1.2',plain,[-(subset(175 ^ [], 176 ^ []))],extension(182 ^ 6)).
% 146.05/141.97  %-----------------------------------------------------
% 146.05/141.97  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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