TSTP Solution File: SET634+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET634+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 11:56:11 EDT 2023

% Result   : Theorem 3.22s 3.46s
% Output   : Proof 3.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET634+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 19:43:11 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 3.22/3.46  
% 3.22/3.46  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 3.22/3.46  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.22/3.46  %-----------------------------------------------------
% 3.22/3.46  ncf(matrix, plain, [(194 ^ _30231) ^ [] : [intersection(190 ^ [], difference(191 ^ [], 192 ^ [])) = difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])], (48 ^ _30231) ^ [_31903, _31905, _31907, _31909] : [-(difference(_31909, _31905) = difference(_31907, _31903)), _31909 = _31907, _31905 = _31903], (58 ^ _30231) ^ [_32242, _32244, _32246, _32248] : [-(intersection(_32248, _32244) = intersection(_32246, _32242)), _32248 = _32246, _32244 = _32242], (2 ^ _30231) ^ [_30375] : [-(_30375 = _30375)], (4 ^ _30231) ^ [_30482, _30484] : [_30484 = _30482, -(_30482 = _30484)], (10 ^ _30231) ^ [_30686, _30688, _30690] : [-(_30690 = _30686), _30690 = _30688, _30688 = _30686], (20 ^ _30231) ^ [_31027, _31029, _31031, _31033] : [-(member(_31031, _31027)), member(_31033, _31029), _31033 = _31031, _31029 = _31027], (34 ^ _30231) ^ [_31451, _31453, _31455, _31457] : [-(subset(_31455, _31451)), subset(_31457, _31453), _31457 = _31455, _31453 = _31451], (68 ^ _30231) ^ [_32579, _32581] : [-(_32581 = _32579), 72 ^ _30231 : [(73 ^ _30231) ^ [] : [-(member(69 ^ [_32579, _32581], _32581))], (75 ^ _30231) ^ [] : [member(69 ^ [_32579, _32581], _32579)]], 76 ^ _30231 : [(77 ^ _30231) ^ [] : [-(member(69 ^ [_32579, _32581], _32579))], (79 ^ _30231) ^ [] : [member(69 ^ [_32579, _32581], _32581)]]], (83 ^ _30231) ^ [_33152, _33154, _33156] : [member(_33152, intersection(_33156, _33154)), 86 ^ _30231 : [(87 ^ _30231) ^ [] : [-(member(_33152, _33156))], (89 ^ _30231) ^ [] : [-(member(_33152, _33154))]]], (91 ^ _30231) ^ [_33403, _33405, _33407] : [-(member(_33403, intersection(_33407, _33405))), member(_33403, _33407), member(_33403, _33405)], (101 ^ _30231) ^ [_33763, _33765, _33767] : [member(_33763, difference(_33767, _33765)), 104 ^ _30231 : [(105 ^ _30231) ^ [] : [-(member(_33763, _33767))], (107 ^ _30231) ^ [] : [member(_33763, _33765)]]], (109 ^ _30231) ^ [_34015, _34017, _34019] : [-(member(_34015, difference(_34019, _34017))), member(_34015, _34019), -(member(_34015, _34017))], (119 ^ _30231) ^ [_34364, _34366] : [_34366 = _34364, 122 ^ _30231 : [(123 ^ _30231) ^ [] : [-(subset(_34366, _34364))], (125 ^ _30231) ^ [] : [-(subset(_34364, _34366))]]], (127 ^ _30231) ^ [_34601, _34603] : [-(_34603 = _34601), subset(_34603, _34601), subset(_34601, _34603)], (137 ^ _30231) ^ [_34887, _34889] : [-(intersection(_34889, _34887) = intersection(_34887, _34889))], (189 ^ _30231) ^ [_36731] : [-(subset(_36731, _36731))], (180 ^ _30231) ^ [_36423, _36425] : [182 ^ _30231 : [(183 ^ _30231) ^ [] : [-(member(181 ^ [_36423, _36425], _36425))], (185 ^ _30231) ^ [] : [member(181 ^ [_36423, _36425], _36423)]], -(subset(_36425, _36423))], (170 ^ _30231) ^ [_36109, _36111] : [subset(_36111, _36109), 173 ^ _30231 : [(174 ^ _30231) ^ [_36246] : [member(_36246, _36111), -(member(_36246, _36109))]]], (155 ^ _30231) ^ [_35548, _35550] : [-(_35550 = _35548), 159 ^ _30231 : [(160 ^ _30231) ^ [] : [-(member(156 ^ [_35548, _35550], _35550))], (162 ^ _30231) ^ [] : [member(156 ^ [_35548, _35550], _35548)]], 163 ^ _30231 : [(164 ^ _30231) ^ [] : [-(member(156 ^ [_35548, _35550], _35548))], (166 ^ _30231) ^ [] : [member(156 ^ [_35548, _35550], _35550)]]], (139 ^ _30231) ^ [_35031, _35033] : [_35033 = _35031, 142 ^ _30231 : [(143 ^ _30231) ^ [_35197] : [member(_35197, _35033), -(member(_35197, _35031))], (149 ^ _30231) ^ [_35369] : [member(_35369, _35031), -(member(_35369, _35033))]]]], input).
% 3.22/3.46  ncf('1',plain,[intersection(190 ^ [], difference(191 ^ [], 192 ^ [])) = difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])],start(194 ^ 0)).
% 3.22/3.46  ncf('1.1',plain,[-(intersection(190 ^ [], difference(191 ^ [], 192 ^ [])) = difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])), 73 : -(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])))), 77 : -(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])))],extension(68 ^ 1,bind([[_32579, _32581], [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))]]))).
% 3.22/3.46  ncf('1.1.1',plain,[member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ []))), 89 : -(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ [])))],extension(83 ^ 4,bind([[_33152, _33154, _33156], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []), 190 ^ []]]))).
% 3.22/3.46  ncf('1.1.1.1',plain,[member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ [])), -(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(difference(191 ^ [], 192 ^ []), difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])))), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))],extension(91 ^ 7,bind([[_33403, _33405, _33407], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), difference(191 ^ [], 192 ^ [])]]))).
% 3.22/3.46  ncf('1.1.1.1.1',plain,[member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(difference(191 ^ [], 192 ^ []), difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))), 89 : -(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])))],extension(83 ^ 8,bind([[_33152, _33154, _33156], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), difference(191 ^ [], 192 ^ [])]]))).
% 3.22/3.46  ncf('1.1.1.1.1.1',plain,[member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])), -(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))), 69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))] = 69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []) = difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])],extension(20 ^ 11,bind([[_31027, _31029, _31031, _31033], [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), 69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))]]]))).
% 3.22/3.46  ncf('1.1.1.1.1.1.1',plain,[member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))],extension(75 ^ 12)).
% 3.22/3.46  ncf('1.1.1.1.1.1.2',plain,[-(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))] = 69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))])],extension(2 ^ 12,bind([[_30375], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))]]]))).
% 3.22/3.46  ncf('1.1.1.1.1.1.3',plain,[-(difference(intersection(190 ^ [], 191 ^ []), 192 ^ []) = difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))],extension(2 ^ 12,bind([[_30375], [difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])]]))).
% 3.22/3.46  ncf('1.1.1.1.2',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], 191 ^ [])), -(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ []))],extension(109 ^ 8,bind([[_34015, _34017, _34019], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], intersection(190 ^ [], 191 ^ [])]]))).
% 3.22/3.46  ncf('1.1.1.1.2.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], 191 ^ []))), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 190 ^ []), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [])],extension(91 ^ 9,bind([[_33403, _33405, _33407], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [], 190 ^ []]]))).
% 3.22/3.46  ncf('1.1.1.1.2.1.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 190 ^ []))],extension(87 ^ 10)).
% 3.22/3.46  ncf('1.1.1.1.2.1.2',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [])), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []))],extension(101 ^ 10,bind([[_33763, _33765, _33767], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], 191 ^ []]]))).
% 3.22/3.46  ncf('1.1.1.1.2.1.2.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ [])))],reduction('1.1.1')).
% 3.22/3.46  ncf('1.1.1.1.2.2',plain,[member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ []), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []))],extension(101 ^ 9,bind([[_33763, _33765, _33767], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], 191 ^ []]]))).
% 3.22/3.46  ncf('1.1.1.1.2.2.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ [])))],reduction('1.1.1')).
% 3.22/3.46  ncf('1.1.2',plain,[member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])), -(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))))), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])))],extension(91 ^ 4,bind([[_33403, _33405, _33407], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])), difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])]]))).
% 3.22/3.46  ncf('1.1.2.1',plain,[member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ [])))), 89 : -(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ []))))],extension(83 ^ 5,bind([[_33152, _33154, _33156], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])), difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])]]))).
% 3.22/3.46  ncf('1.1.2.1.1',plain,[member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])))],extension(79 ^ 8)).
% 3.22/3.46  ncf('1.1.2.2',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], difference(191 ^ [], 192 ^ [])))), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 190 ^ []), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []))],extension(91 ^ 5,bind([[_33403, _33405, _33407], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []), 190 ^ []]]))).
% 3.22/3.46  ncf('1.1.2.2.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 190 ^ [])), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], 191 ^ []))],extension(83 ^ 6,bind([[_33152, _33154, _33156], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [], 190 ^ []]]))).
% 3.22/3.46  ncf('1.1.2.2.1.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], 191 ^ []))), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))],extension(101 ^ 7,bind([[_33763, _33765, _33767], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], intersection(190 ^ [], 191 ^ [])]]))).
% 3.22/3.46  ncf('1.1.2.2.1.1.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])))],reduction('1.1')).
% 3.22/3.46  ncf('1.1.2.2.2',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(191 ^ [], 192 ^ []))), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ []), -(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ []))],extension(109 ^ 6,bind([[_34015, _34017, _34019], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], 191 ^ []]]))).
% 3.22/3.46  ncf('1.1.2.2.2.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [])), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], 191 ^ []))],extension(83 ^ 7,bind([[_33152, _33154, _33156], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 191 ^ [], 190 ^ []]]))).
% 3.22/3.46  ncf('1.1.2.2.2.1.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], intersection(190 ^ [], 191 ^ []))), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))],extension(101 ^ 8,bind([[_33763, _33765, _33767], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], intersection(190 ^ [], 191 ^ [])]]))).
% 3.22/3.46  ncf('1.1.2.2.2.1.1.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])))],reduction('1.1')).
% 3.22/3.46  ncf('1.1.2.2.2.2',plain,[member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ []), member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ []))],extension(101 ^ 7,bind([[_33763, _33765, _33767], [69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], 192 ^ [], intersection(190 ^ [], 191 ^ [])]]))).
% 3.22/3.46  ncf('1.1.2.2.2.2.1',plain,[-(member(69 ^ [difference(intersection(190 ^ [], 191 ^ []), 192 ^ []), intersection(190 ^ [], difference(191 ^ [], 192 ^ []))], difference(intersection(190 ^ [], 191 ^ []), 192 ^ [])))],reduction('1.1')).
% 3.22/3.46  %-----------------------------------------------------
% 3.22/3.46  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------