%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET636+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 11:56:12 EDT 2023

% Result   : Theorem 4.42s 5.49s
% Output   : Proof 4.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET636+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.11  % Command  : nanocop.sh %s %d
% 0.10/0.31  % Computer : n031.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May 18 19:41:25 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 4.42/5.49  
% 4.42/5.49  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 4.42/5.49  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.42/5.49  %-----------------------------------------------------
% 4.42/5.49  ncf(matrix, plain, [(240 ^ _36386) ^ [] : [241 ^ _36386 : [(242 ^ _36386) ^ [] : [-(disjoint(237 ^ [], 238 ^ []))], (244 ^ _36386) ^ [] : [intersection(237 ^ [], 238 ^ []) = empty_set]], 245 ^ _36386 : [(246 ^ _36386) ^ [] : [-(intersection(237 ^ [], 238 ^ []) = empty_set)], (248 ^ _36386) ^ [] : [disjoint(237 ^ [], 238 ^ [])]]], (86 ^ _36386) ^ [_39227, _39229, _39231, _39233] : [-(intersection(_39233, _39229) = intersection(_39231, _39227)), _39233 = _39231, _39229 = _39227], (2 ^ _36386) ^ [_36530] : [-(_36530 = _36530)], (4 ^ _36386) ^ [_36637, _36639] : [_36639 = _36637, -(_36637 = _36639)], (10 ^ _36386) ^ [_36841, _36843, _36845] : [-(_36845 = _36841), _36845 = _36843, _36843 = _36841], (20 ^ _36386) ^ [_37182, _37184, _37186, _37188] : [-(intersect(_37186, _37182)), intersect(_37188, _37184), _37188 = _37186, _37184 = _37182], (34 ^ _36386) ^ [_37626, _37628, _37630, _37632] : [-(subset(_37630, _37626)), subset(_37632, _37628), _37632 = _37630, _37628 = _37626], (48 ^ _36386) ^ [_38042, _38044] : [-(empty(_38042)), _38044 = _38042, empty(_38044)], (58 ^ _36386) ^ [_38365, _38367, _38369, _38371] : [-(member(_38369, _38365)), member(_38371, _38367), _38371 = _38369, _38367 = _38365], (72 ^ _36386) ^ [_38789, _38791, _38793, _38795] : [-(disjoint(_38793, _38789)), disjoint(_38795, _38791), _38795 = _38793, _38791 = _38789], (96 ^ _36386) ^ [_39603, _39605, _39607] : [member(_39603, intersection(_39607, _39605)), 99 ^ _36386 : [(100 ^ _36386) ^ [] : [-(member(_39603, _39607))], (102 ^ _36386) ^ [] : [-(member(_39603, _39605))]]], (104 ^ _36386) ^ [_39854, _39856, _39858] : [-(member(_39854, intersection(_39858, _39856))), member(_39854, _39858), member(_39854, _39856)], (114 ^ _36386) ^ [_40200, _40202] : [intersect(_40202, _40200), 118 ^ _36386 : [(119 ^ _36386) ^ [] : [-(member(117 ^ [_40200, _40202], _40202))], (121 ^ _36386) ^ [] : [-(member(117 ^ [_40200, _40202], _40200))]]], (123 ^ _36386) ^ [_40507, _40509] : [-(intersect(_40509, _40507)), 124 ^ _36386 : [(125 ^ _36386) ^ [_40599] : [member(_40599, _40509), member(_40599, _40507)]]], (133 ^ _36386) ^ [_40841] : [member(_40841, empty_set)], (135 ^ _36386) ^ [_40977, _40979] : [disjoint(_40979, _40977), intersect(_40979, _40977)], (141 ^ _36386) ^ [_41140, _41142] : [-(intersect(_41142, _41140)), -(disjoint(_41142, _41140))], (147 ^ _36386) ^ [_41384, _41386] : [_41386 = _41384, 150 ^ _36386 : [(151 ^ _36386) ^ [] : [-(subset(_41386, _41384))], (153 ^ _36386) ^ [] : [-(subset(_41384, _41386))]]], (155 ^ _36386) ^ [_41621, _41623] : [-(_41623 = _41621), subset(_41623, _41621), subset(_41621, _41623)], (165 ^ _36386) ^ [_41907, _41909] : [-(intersection(_41909, _41907) = intersection(_41907, _41909))], (167 ^ _36386) ^ [_42022, _42024] : [intersect(_42024, _42022), -(intersect(_42022, _42024))], (183 ^ _36386) ^ [_42575, _42577] : [185 ^ _36386 : [(186 ^ _36386) ^ [] : [-(member(184 ^ [_42575, _42577], _42577))], (188 ^ _36386) ^ [] : [member(184 ^ [_42575, _42577], _42575)]], -(subset(_42577, _42575))], (173 ^ _36386) ^ [_42261, _42263] : [subset(_42263, _42261), 176 ^ _36386 : [(177 ^ _36386) ^ [_42398] : [member(_42398, _42263), -(member(_42398, _42261))]]], (192 ^ _36386) ^ [_42903] : [-(subset(_42903, _42903))], (194 ^ _36386) ^ [_43025] : [empty(_43025), 197 ^ _36386 : [(198 ^ _36386) ^ [_43136] : [member(_43136, _43025)]]], (200 ^ _36386) ^ [_43202] : [-(member(201 ^ [_43202], _43202)), -(empty(_43202))], (223 ^ _36386) ^ [_43988, _43990] : [-(_43990 = _43988), 227 ^ _36386 : [(228 ^ _36386) ^ [] : [-(member(224 ^ [_43988, _43990], _43990))], (230 ^ _36386) ^ [] : [member(224 ^ [_43988, _43990], _43988)]], 231 ^ _36386 : [(232 ^ _36386) ^ [] : [-(member(224 ^ [_43988, _43990], _43988))], (234 ^ _36386) ^ [] : [member(224 ^ [_43988, _43990], _43990)]]], (207 ^ _36386) ^ [_43471, _43473] : [_43473 = _43471, 210 ^ _36386 : [(211 ^ _36386) ^ [_43637] : [member(_43637, _43473), -(member(_43637, _43471))], (217 ^ _36386) ^ [_43809] : [member(_43809, _43471), -(member(_43809, _43473))]]]], input).
% 4.42/5.49  ncf('1',plain,[disjoint(237 ^ [], 238 ^ []), intersect(237 ^ [], 238 ^ [])],start(135 ^ 0,bind([[_40977, _40979], [238 ^ [], 237 ^ []]]))).
% 4.42/5.49  ncf('1.1',plain,[-(disjoint(237 ^ [], 238 ^ [])), 246 : -(intersection(237 ^ [], 238 ^ []) = empty_set)],extension(240 ^ 1)).
% 4.42/5.49  ncf('1.1.1',plain,[intersection(237 ^ [], 238 ^ []) = empty_set, 211 : member(117 ^ [238 ^ [], 237 ^ []], intersection(237 ^ [], 238 ^ [])), 211 : -(member(117 ^ [238 ^ [], 237 ^ []], empty_set))],extension(207 ^ 4,bind([[_43471, _43473, _43637], [empty_set, intersection(237 ^ [], 238 ^ []), 117 ^ [238 ^ [], 237 ^ []]]]))).
% 4.42/5.49  ncf('1.1.1.1',plain,[-(member(117 ^ [238 ^ [], 237 ^ []], intersection(237 ^ [], 238 ^ []))), member(117 ^ [238 ^ [], 237 ^ []], 237 ^ []), member(117 ^ [238 ^ [], 237 ^ []], 238 ^ [])],extension(104 ^ 7,bind([[_39854, _39856, _39858], [117 ^ [238 ^ [], 237 ^ []], 238 ^ [], 237 ^ []]]))).
% 4.42/5.49  ncf('1.1.1.1.1',plain,[-(member(117 ^ [238 ^ [], 237 ^ []], 237 ^ [])), intersect(237 ^ [], 238 ^ [])],extension(114 ^ 8,bind([[_40200, _40202], [238 ^ [], 237 ^ []]]))).
% 4.42/5.49  ncf('1.1.1.1.1.1',plain,[-(intersect(237 ^ [], 238 ^ [])), -(disjoint(237 ^ [], 238 ^ []))],extension(141 ^ 9,bind([[_41140, _41142], [238 ^ [], 237 ^ []]]))).
% 4.42/5.49  ncf('1.1.1.1.1.1.1',plain,[disjoint(237 ^ [], 238 ^ [])],reduction('1')).
% 4.42/5.49  ncf('1.1.1.1.2',plain,[-(member(117 ^ [238 ^ [], 237 ^ []], 238 ^ [])), intersect(237 ^ [], 238 ^ [])],extension(114 ^ 8,bind([[_40200, _40202], [238 ^ [], 237 ^ []]]))).
% 4.42/5.49  ncf('1.1.1.1.2.1',plain,[-(intersect(237 ^ [], 238 ^ [])), -(disjoint(237 ^ [], 238 ^ []))],extension(141 ^ 9,bind([[_41140, _41142], [238 ^ [], 237 ^ []]]))).
% 4.42/5.49  ncf('1.1.1.1.2.1.1',plain,[disjoint(237 ^ [], 238 ^ [])],reduction('1')).
% 4.42/5.49  ncf('1.1.1.2',plain,[member(117 ^ [238 ^ [], 237 ^ []], empty_set), -(member(117 ^ [238 ^ [], 237 ^ []], intersection(empty_set, empty_set))), member(117 ^ [238 ^ [], 237 ^ []], empty_set)],extension(104 ^ 7,bind([[_39854, _39856, _39858], [117 ^ [238 ^ [], 237 ^ []], empty_set, empty_set]]))).
% 4.42/5.49  ncf('1.1.1.2.1',plain,[member(117 ^ [238 ^ [], 237 ^ []], intersection(empty_set, empty_set)), 102 : -(member(117 ^ [238 ^ [], 237 ^ []], empty_set))],extension(96 ^ 8,bind([[_39603, _39605, _39607], [117 ^ [238 ^ [], 237 ^ []], empty_set, empty_set]]))).
% 4.42/5.49  ncf('1.1.1.2.1.1',plain,[member(117 ^ [238 ^ [], 237 ^ []], empty_set)],extension(133 ^ 11,bind([[_40841], [117 ^ [238 ^ [], 237 ^ []]]]))).
% 4.42/5.49  ncf('1.1.1.2.2',plain,[-(member(117 ^ [238 ^ [], 237 ^ []], empty_set))],reduction('1.1.1')).
% 4.42/5.49  ncf('1.2',plain,[-(intersect(237 ^ [], 238 ^ [])), 125 : member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], 237 ^ []), 125 : member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], 238 ^ [])],extension(123 ^ 1,bind([[_40507, _40509, _40599], [238 ^ [], 237 ^ [], 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])]]]))).
% 4.42/5.49  ncf('1.2.1',plain,[-(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], 237 ^ [])), member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(237 ^ [], 238 ^ []))],extension(96 ^ 4,bind([[_39603, _39605, _39607], [224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], 238 ^ [], 237 ^ []]]))).
% 4.42/5.49  ncf('1.2.1.1',plain,[-(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(237 ^ [], 238 ^ []))), 177 : member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], empty_set), 177 : subset(empty_set, intersection(237 ^ [], 238 ^ []))],extension(173 ^ 5,bind([[_42261, _42263, _42398], [intersection(237 ^ [], 238 ^ []), empty_set, 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])]]]))).
% 4.42/5.49  ncf('1.2.1.1.1',plain,[-(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], empty_set)), member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(237 ^ [], 238 ^ [])), 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])] = 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(237 ^ [], 238 ^ []) = empty_set],extension(58 ^ 8,bind([[_38365, _38367, _38369, _38371], [empty_set, intersection(237 ^ [], 238 ^ []), 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])]]]))).
% 4.42/5.49  ncf('1.2.1.1.1.1',plain,[-(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(237 ^ [], 238 ^ []))), -(intersection(237 ^ [], 238 ^ []) = empty_set), 232 : -(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], empty_set))],extension(223 ^ 9,bind([[_43988, _43990], [empty_set, intersection(237 ^ [], 238 ^ [])]]))).
% 4.42/5.49  ncf('1.2.1.1.1.1.1',plain,[intersection(237 ^ [], 238 ^ []) = empty_set, 248 : disjoint(237 ^ [], 238 ^ [])],extension(240 ^ 10)).
% 4.42/5.49  ncf('1.2.1.1.1.1.1.1',plain,[-(disjoint(237 ^ [], 238 ^ []))],lemmata('x')).
% 4.42/5.49  ncf('1.2.1.1.1.1.2',plain,[member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], empty_set)],reduction('1.2.1.1')).
% 4.42/5.49  ncf('1.2.1.1.1.2',plain,[-(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])] = 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])])],extension(2 ^ 9,bind([[_36530], [224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])]]]))).
% 4.42/5.49  ncf('1.2.1.1.1.3',plain,[-(intersection(237 ^ [], 238 ^ []) = empty_set), 228 : -(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(237 ^ [], 238 ^ []))), 232 : -(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], empty_set))],extension(223 ^ 9,bind([[_43988, _43990], [empty_set, intersection(237 ^ [], 238 ^ [])]]))).
% 4.42/5.49  ncf('1.2.1.1.1.3.1',plain,[member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(237 ^ [], 238 ^ []))],reduction('1.2.1')).
% 4.42/5.49  ncf('1.2.1.1.1.3.2',plain,[member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], empty_set)],reduction('1.2.1.1')).
% 4.42/5.49  ncf('1.2.1.1.2',plain,[-(subset(empty_set, intersection(237 ^ [], 238 ^ []))), 186 : -(member(184 ^ [intersection(237 ^ [], 238 ^ []), empty_set], empty_set))],extension(183 ^ 6,bind([[_42575, _42577], [intersection(237 ^ [], 238 ^ []), empty_set]]))).
% 4.42/5.49  ncf('1.2.1.1.2.1',plain,[member(184 ^ [intersection(237 ^ [], 238 ^ []), empty_set], empty_set)],extension(133 ^ 9,bind([[_40841], [184 ^ [intersection(237 ^ [], 238 ^ []), empty_set]]]))).
% 4.42/5.49  ncf('1.2.2',plain,[-(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], 238 ^ [])), member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(238 ^ [], 237 ^ []))],extension(96 ^ 4,bind([[_39603, _39605, _39607], [224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], 237 ^ [], 238 ^ []]]))).
% 4.42/5.49  ncf('1.2.2.1',plain,[-(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(238 ^ [], 237 ^ []))), member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(237 ^ [], 238 ^ [])), 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])] = 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(237 ^ [], 238 ^ []) = intersection(238 ^ [], 237 ^ [])],extension(58 ^ 5,bind([[_38365, _38367, _38369, _38371], [intersection(238 ^ [], 237 ^ []), intersection(237 ^ [], 238 ^ []), 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])]]]))).
% 4.42/5.49  ncf('1.2.2.1.1',plain,[-(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], intersection(237 ^ [], 238 ^ []))), -(intersection(237 ^ [], 238 ^ []) = empty_set), 232 : -(member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], empty_set))],extension(223 ^ 6,bind([[_43988, _43990], [empty_set, intersection(237 ^ [], 238 ^ [])]]))).
% 4.42/5.49  ncf('1.2.2.1.1.1',plain,[intersection(237 ^ [], 238 ^ []) = empty_set, 248 : disjoint(237 ^ [], 238 ^ [])],extension(240 ^ 7)).
% 4.42/5.49  ncf('1.2.2.1.1.1.1',plain,[-(disjoint(237 ^ [], 238 ^ []))],lemmata('x')).
% 4.42/5.49  ncf('1.2.2.1.1.2',plain,[member(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])], empty_set)],extension(133 ^ 9,bind([[_40841], [224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])]]]))).
% 4.42/5.49  ncf('1.2.2.1.2',plain,[-(224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])] = 224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])])],extension(2 ^ 6,bind([[_36530], [224 ^ [empty_set, intersection(237 ^ [], 238 ^ [])]]]))).
% 4.42/5.49  ncf('1.2.2.1.3',plain,[-(intersection(237 ^ [], 238 ^ []) = intersection(238 ^ [], 237 ^ [])), intersection(238 ^ [], 237 ^ []) = intersection(237 ^ [], 238 ^ [])],extension(4 ^ 6,bind([[_36637, _36639], [intersection(237 ^ [], 238 ^ []), intersection(238 ^ [], 237 ^ [])]]))).
% 4.42/5.49  ncf('1.2.2.1.3.1',plain,[-(intersection(238 ^ [], 237 ^ []) = intersection(237 ^ [], 238 ^ []))],extension(165 ^ 7,bind([[_41907, _41909], [237 ^ [], 238 ^ []]]))).
% 4.42/5.49  %-----------------------------------------------------
% 4.42/5.49  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------