TSTP Solution File: SET906+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET906+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 11:56:38 EDT 2023

% Result   : Theorem 161.11s 156.39s
% Output   : Proof 161.11s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET906+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n005.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 19:10:53 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 161.11/156.39  
% 161.11/156.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 161.11/156.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 161.11/156.39  %-----------------------------------------------------
% 161.11/156.39  ncf(matrix, plain, [(218 ^ _40301) ^ [] : [-(subset(set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []), 216 ^ []))], (220 ^ _40301) ^ [] : [in(214 ^ [], 216 ^ [])], !, (199 ^ _32609) ^ [_39599, _39601] : [-(empty(_39601)), empty(set_union2(_39599, _39601))], (208 ^ _32609) ^ [] : [-(empty(206 ^ []))], (193 ^ _32609) ^ [_39383, _39385] : [-(empty(_39385)), empty(set_union2(_39385, _39383))], (20 ^ _32609) ^ [_33357, _33359] : [-(empty(_33357)), _33359 = _33357, empty(_33359)], (213 ^ _32609) ^ [_40056, _40058] : [-(subset(_40058, _40058))], (30 ^ _32609) ^ [_33680, _33682, _33684, _33686] : [-(subset(_33684, _33680)), subset(_33686, _33682), _33686 = _33684, _33682 = _33680], (153 ^ _32609) ^ [_37932, _37934, _37936] : [-(_37932 = set_union2(_37936, _37934)), 157 ^ _32609 : [(162 ^ _32609) ^ [] : [in(154 ^ [_37932, _37934, _37936], _37934)], (160 ^ _32609) ^ [] : [in(154 ^ [_37932, _37934, _37936], _37936)], (158 ^ _32609) ^ [] : [-(in(154 ^ [_37932, _37934, _37936], _37932))]], 163 ^ _32609 : [(170 ^ _32609) ^ [] : [in(154 ^ [_37932, _37934, _37936], _37932)], (164 ^ _32609) ^ [] : [-(in(154 ^ [_37932, _37934, _37936], _37936)), -(in(154 ^ [_37932, _37934, _37936], _37934))]]], (10 ^ _32609) ^ [_33044, _33046, _33048] : [-(_33048 = _33044), _33048 = _33046, _33046 = _33044], (68 ^ _32609) ^ [_34897, _34899, _34901, _34903] : [-(unordered_pair(_34903, _34899) = unordered_pair(_34901, _34897)), _34903 = _34901, _34899 = _34897], (2 ^ _32609) ^ [_32733] : [-(_32733 = _32733)], (84 ^ _32609) ^ [_35430, _35432] : [-(unordered_pair(_35432, _35430) = unordered_pair(_35430, _35432))], (184 ^ _32609) ^ [_39026, _39028] : [186 ^ _32609 : [(187 ^ _32609) ^ [] : [-(in(185 ^ [_39026, _39028], _39028))], (189 ^ _32609) ^ [] : [in(185 ^ [_39026, _39028], _39026)]], -(subset(_39028, _39026))], (211 ^ _32609) ^ [] : [empty(209 ^ [])], (58 ^ _32609) ^ [_34558, _34560, _34562, _34564] : [-(set_union2(_34564, _34560) = set_union2(_34562, _34558)), _34564 = _34562, _34560 = _34558], (174 ^ _32609) ^ [_38712, _38714] : [subset(_38714, _38712), 177 ^ _32609 : [(178 ^ _32609) ^ [_38849] : [in(_38849, _38714), -(in(_38849, _38712))]]], (88 ^ _32609) ^ [_35688, _35690, _35692] : [_35688 = unordered_pair(_35692, _35690), 91 ^ _32609 : [(102 ^ _32609) ^ [_36148] : [103 ^ _32609 : [(104 ^ _32609) ^ [] : [_36148 = _35692], (106 ^ _32609) ^ [] : [_36148 = _35690]], -(in(_36148, _35688))], (92 ^ _32609) ^ [_35870] : [in(_35870, _35688), -(_35870 = _35692), -(_35870 = _35690)]]], (44 ^ _32609) ^ [_34104, _34106, _34108, _34110] : [-(in(_34108, _34104)), in(_34110, _34106), _34110 = _34108, _34106 = _34104], (86 ^ _32609) ^ [_35530, _35532] : [-(set_union2(_35532, _35530) = set_union2(_35530, _35532))], (131 ^ _32609) ^ [_37207, _37209, _37211] : [_37207 = set_union2(_37211, _37209), 134 ^ _32609 : [(145 ^ _32609) ^ [_37667] : [146 ^ _32609 : [(147 ^ _32609) ^ [] : [in(_37667, _37211)], (149 ^ _32609) ^ [] : [in(_37667, _37209)]], -(in(_37667, _37207))], (135 ^ _32609) ^ [_37389] : [in(_37389, _37207), -(in(_37389, _37211)), -(in(_37389, _37209))]]], (78 ^ _32609) ^ [_35234, _35236] : [in(_35236, _35234), in(_35234, _35236)], (205 ^ _32609) ^ [_39800, _39802] : [-(set_union2(_39802, _39802) = _39802)], (4 ^ _32609) ^ [_32840, _32842] : [_32842 = _32840, -(_32840 = _32842)], (110 ^ _32609) ^ [_36413, _36415, _36417] : [-(_36413 = unordered_pair(_36417, _36415)), 114 ^ _32609 : [(119 ^ _32609) ^ [] : [111 ^ [_36413, _36415, _36417] = _36415], (117 ^ _32609) ^ [] : [111 ^ [_36413, _36415, _36417] = _36417], (115 ^ _32609) ^ [] : [-(in(111 ^ [_36413, _36415, _36417], _36413))]], 120 ^ _32609 : [(127 ^ _32609) ^ [] : [in(111 ^ [_36413, _36415, _36417], _36413)], (121 ^ _32609) ^ [] : [-(111 ^ [_36413, _36415, _36417] = _36417), -(111 ^ [_36413, _36415, _36417] = _36415)]]]], input).
% 161.11/156.39  ncf('1',plain,[-(subset(set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []), 216 ^ []))],start(218 ^ 0)).
% 161.11/156.39  ncf('1.1',plain,[subset(set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []), 216 ^ []), 178 : in(214 ^ [], set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ [])), 178 : -(in(214 ^ [], 216 ^ []))],extension(174 ^ 1,bind([[_38712, _38714, _38849], [216 ^ [], set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []), 214 ^ []]]))).
% 161.11/156.39  ncf('1.1.1',plain,[-(in(214 ^ [], set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []))), 147 : in(214 ^ [], unordered_pair(214 ^ [], 215 ^ [])), 145 : set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []) = set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ [])],extension(131 ^ 4,bind([[_37207, _37209, _37211, _37667], [set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []), 216 ^ [], unordered_pair(214 ^ [], 215 ^ []), 214 ^ []]]))).
% 161.11/156.39  ncf('1.1.1.1',plain,[-(in(214 ^ [], unordered_pair(214 ^ [], 215 ^ []))), 104 : 214 ^ [] = 214 ^ [], 102 : unordered_pair(214 ^ [], 215 ^ []) = unordered_pair(214 ^ [], 215 ^ [])],extension(88 ^ 9,bind([[_35688, _35690, _35692, _36148], [unordered_pair(214 ^ [], 215 ^ []), 215 ^ [], 214 ^ [], 214 ^ []]]))).
% 161.11/156.39  ncf('1.1.1.1.1',plain,[-(214 ^ [] = 214 ^ [])],extension(2 ^ 14,bind([[_32733], [214 ^ []]]))).
% 161.11/156.39  ncf('1.1.1.1.2',plain,[-(unordered_pair(214 ^ [], 215 ^ []) = unordered_pair(214 ^ [], 215 ^ []))],extension(2 ^ 10,bind([[_32733], [unordered_pair(214 ^ [], 215 ^ [])]]))).
% 161.11/156.39  ncf('1.1.1.2',plain,[-(set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []) = set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ []))],extension(2 ^ 5,bind([[_32733], [set_union2(unordered_pair(214 ^ [], 215 ^ []), 216 ^ [])]]))).
% 161.11/156.39  ncf('1.1.2',plain,[in(214 ^ [], 216 ^ [])],extension(220 ^ 4)).
% 161.11/156.39  %-----------------------------------------------------
% 161.11/156.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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