TSTP Solution File: SET582+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET582+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 11:56:01 EDT 2023
% Result : Theorem 42.74s 41.69s
% Output : Proof 42.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET582+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n013.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 19:16:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 42.74/41.69
% 42.74/41.69 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 42.74/41.69 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.74/41.69 %-----------------------------------------------------
% 42.74/41.69 ncf(matrix, plain, [(238 ^ _38541) ^ [] : [204 ^ [] = symmetric_difference(205 ^ [], 206 ^ [])], (224 ^ _38541) ^ [_46385] : [member(_46385, 204 ^ []), 227 ^ _38541 : [(228 ^ _38541) ^ [] : [-(member(_46385, 205 ^ []))], (230 ^ _38541) ^ [] : [member(_46385, 206 ^ [])]], 231 ^ _38541 : [(232 ^ _38541) ^ [] : [-(member(_46385, 206 ^ []))], (234 ^ _38541) ^ [] : [member(_46385, 205 ^ [])]]], (208 ^ _38541) ^ [_45986] : [-(member(_45986, 204 ^ [])), 211 ^ _38541 : [(212 ^ _38541) ^ [] : [member(_45986, 205 ^ []), -(member(_45986, 206 ^ []))], (218 ^ _38541) ^ [] : [member(_45986, 206 ^ []), -(member(_45986, 205 ^ []))]]], (48 ^ _38541) ^ [_40213, _40215, _40217, _40219] : [-(difference(_40219, _40215) = difference(_40217, _40213)), _40219 = _40217, _40215 = _40213], (58 ^ _38541) ^ [_40572, _40574, _40576, _40578] : [-(union(_40578, _40574) = union(_40576, _40572)), _40578 = _40576, _40574 = _40572], (68 ^ _38541) ^ [_40911, _40913, _40915, _40917] : [-(symmetric_difference(_40917, _40913) = symmetric_difference(_40915, _40911)), _40917 = _40915, _40913 = _40911], (2 ^ _38541) ^ [_38685] : [-(_38685 = _38685)], (4 ^ _38541) ^ [_38792, _38794] : [_38794 = _38792, -(_38792 = _38794)], (10 ^ _38541) ^ [_38996, _38998, _39000] : [-(_39000 = _38996), _39000 = _38998, _38998 = _38996], (20 ^ _38541) ^ [_39337, _39339, _39341, _39343] : [-(subset(_39341, _39337)), subset(_39343, _39339), _39343 = _39341, _39339 = _39337], (34 ^ _38541) ^ [_39761, _39763, _39765, _39767] : [-(member(_39765, _39761)), member(_39767, _39763), _39767 = _39765, _39763 = _39761], (78 ^ _38541) ^ [_41252, _41254] : [-(_41254 = _41252), 82 ^ _38541 : [(83 ^ _38541) ^ [] : [-(member(79 ^ [_41252, _41254], _41254))], (85 ^ _38541) ^ [] : [member(79 ^ [_41252, _41254], _41252)]], 86 ^ _38541 : [(87 ^ _38541) ^ [] : [-(member(79 ^ [_41252, _41254], _41252))], (89 ^ _38541) ^ [] : [member(79 ^ [_41252, _41254], _41254)]]], (103 ^ _38541) ^ [_42093, _42095, _42097] : [104 ^ _38541 : [(105 ^ _38541) ^ [] : [member(_42093, _42097)], (107 ^ _38541) ^ [] : [member(_42093, _42095)]], -(member(_42093, union(_42097, _42095)))], (93 ^ _38541) ^ [_41825, _41827, _41829] : [member(_41825, union(_41829, _41827)), -(member(_41825, _41829)), -(member(_41825, _41827))], (111 ^ _38541) ^ [_42436, _42438, _42440] : [member(_42436, difference(_42440, _42438)), 114 ^ _38541 : [(115 ^ _38541) ^ [] : [-(member(_42436, _42440))], (117 ^ _38541) ^ [] : [member(_42436, _42438)]]], (119 ^ _38541) ^ [_42688, _42690, _42692] : [-(member(_42688, difference(_42692, _42690))), member(_42688, _42692), -(member(_42688, _42690))], (129 ^ _38541) ^ [_42993, _42995] : [-(symmetric_difference(_42995, _42993) = union(difference(_42995, _42993), difference(_42993, _42995)))], (131 ^ _38541) ^ [_43143, _43145] : [_43145 = _43143, 134 ^ _38541 : [(135 ^ _38541) ^ [] : [-(subset(_43145, _43143))], (137 ^ _38541) ^ [] : [-(subset(_43143, _43145))]]], (139 ^ _38541) ^ [_43380, _43382] : [-(_43382 = _43380), subset(_43382, _43380), subset(_43380, _43382)], (149 ^ _38541) ^ [_43666, _43668] : [-(union(_43668, _43666) = union(_43666, _43668))], (151 ^ _38541) ^ [_43766, _43768] : [-(symmetric_difference(_43768, _43766) = symmetric_difference(_43766, _43768))], (203 ^ _38541) ^ [_45610] : [-(subset(_45610, _45610))], (194 ^ _38541) ^ [_45302, _45304] : [196 ^ _38541 : [(197 ^ _38541) ^ [] : [-(member(195 ^ [_45302, _45304], _45304))], (199 ^ _38541) ^ [] : [member(195 ^ [_45302, _45304], _45302)]], -(subset(_45304, _45302))], (184 ^ _38541) ^ [_44988, _44990] : [subset(_44990, _44988), 187 ^ _38541 : [(188 ^ _38541) ^ [_45125] : [member(_45125, _44990), -(member(_45125, _44988))]]], (169 ^ _38541) ^ [_44427, _44429] : [-(_44429 = _44427), 173 ^ _38541 : [(174 ^ _38541) ^ [] : [-(member(170 ^ [_44427, _44429], _44429))], (176 ^ _38541) ^ [] : [member(170 ^ [_44427, _44429], _44427)]], 177 ^ _38541 : [(178 ^ _38541) ^ [] : [-(member(170 ^ [_44427, _44429], _44427))], (180 ^ _38541) ^ [] : [member(170 ^ [_44427, _44429], _44429)]]], (153 ^ _38541) ^ [_43910, _43912] : [_43912 = _43910, 156 ^ _38541 : [(157 ^ _38541) ^ [_44076] : [member(_44076, _43912), -(member(_44076, _43910))], (163 ^ _38541) ^ [_44248] : [member(_44248, _43910), -(member(_44248, _43912))]]]], input).
% 42.74/41.69 ncf('1',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(205 ^ [], 206 ^ [])), 117 : member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ [])],start(111 ^ 0,bind([[_42436, _42438, _42440], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ [], 205 ^ []]]))).
% 42.74/41.69 ncf('1.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(205 ^ [], 206 ^ []))), member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))), -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ [])))],extension(93 ^ 1,bind([[_41825, _41827, _41829], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ []), difference(205 ^ [], 206 ^ [])]]))).
% 42.74/41.69 ncf('1.1.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])))), -(union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])) = 204 ^ []), 87 : -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 204 ^ []))],extension(78 ^ 2,bind([[_41252, _41254], [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]))).
% 42.74/41.69 ncf('1.1.1.1',plain,[union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])) = 204 ^ [], -(204 ^ [] = union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])))],extension(4 ^ 3,bind([[_38792, _38794], [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]))).
% 42.74/41.69 ncf('1.1.1.1.1',plain,[204 ^ [] = union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])), -(204 ^ [] = symmetric_difference(205 ^ [], 206 ^ [])), union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])) = symmetric_difference(205 ^ [], 206 ^ [])],extension(10 ^ 4,bind([[_38996, _38998, _39000], [symmetric_difference(205 ^ [], 206 ^ []), union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])), 204 ^ []]]))).
% 42.74/41.69 ncf('1.1.1.1.1.1',plain,[204 ^ [] = symmetric_difference(205 ^ [], 206 ^ [])],extension(238 ^ 5)).
% 42.74/41.69 ncf('1.1.1.1.1.2',plain,[-(union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])) = symmetric_difference(205 ^ [], 206 ^ [])), symmetric_difference(205 ^ [], 206 ^ []) = union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))],extension(4 ^ 5,bind([[_38792, _38794], [union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])), symmetric_difference(205 ^ [], 206 ^ [])]]))).
% 42.74/41.69 ncf('1.1.1.1.1.2.1',plain,[-(symmetric_difference(205 ^ [], 206 ^ []) = union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])))],extension(129 ^ 6,bind([[_42993, _42995], [206 ^ [], 205 ^ []]]))).
% 42.74/41.69 ncf('1.1.1.2',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 204 ^ []), 228 : -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [])), 232 : -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ []))],extension(224 ^ 5,bind([[_46385], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]]))).
% 42.74/41.69 ncf('1.1.1.2.1',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []), -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(205 ^ [], 206 ^ []))), -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ []))],extension(119 ^ 8,bind([[_42688, _42690, _42692], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ [], 205 ^ []]]))).
% 42.74/41.69 ncf('1.1.1.2.1.1',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(205 ^ [], 206 ^ []))],reduction('1')).
% 42.74/41.69 ncf('1.1.1.2.1.2',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ [])],extension(230 ^ 9)).
% 42.74/41.69 ncf('1.1.1.2.2',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ []), -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ []))), -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []))],extension(119 ^ 8,bind([[_42688, _42690, _42692], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [], 206 ^ []]]))).
% 42.74/41.69 ncf('1.1.1.2.2.1',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ [])), -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))))],extension(103 ^ 9,bind([[_42093, _42095, _42097], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ []), difference(205 ^ [], 206 ^ [])]]))).
% 42.74/41.69 ncf('1.1.1.2.2.1.1',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])))],reduction('1.1')).
% 42.74/41.69 ncf('1.1.1.2.2.2',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [])],extension(234 ^ 9)).
% 42.74/41.69 ncf('1.1.2',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ [])), -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))))],extension(103 ^ 2,bind([[_42093, _42095, _42097], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ []), difference(205 ^ [], 206 ^ [])]]))).
% 42.74/41.69 ncf('1.1.2.1',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))), -(union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])) = 204 ^ []), 85 : member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 204 ^ [])],extension(78 ^ 3,bind([[_41252, _41254], [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]))).
% 42.74/41.69 ncf('1.1.2.1.1',plain,[union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])) = 204 ^ [], -(symmetric_difference(205 ^ [], 206 ^ []) = 204 ^ []), symmetric_difference(205 ^ [], 206 ^ []) = union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))],extension(10 ^ 4,bind([[_38996, _38998, _39000], [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])), symmetric_difference(205 ^ [], 206 ^ [])]]))).
% 42.74/41.69 ncf('1.1.2.1.1.1',plain,[symmetric_difference(205 ^ [], 206 ^ []) = 204 ^ [], -(204 ^ [] = symmetric_difference(205 ^ [], 206 ^ []))],extension(4 ^ 5,bind([[_38792, _38794], [204 ^ [], symmetric_difference(205 ^ [], 206 ^ [])]]))).
% 42.74/41.69 ncf('1.1.2.1.1.1.1',plain,[204 ^ [] = symmetric_difference(205 ^ [], 206 ^ [])],extension(238 ^ 6)).
% 42.74/41.69 ncf('1.1.2.1.1.2',plain,[-(symmetric_difference(205 ^ [], 206 ^ []) = union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])))],extension(129 ^ 5,bind([[_42993, _42995], [206 ^ [], 205 ^ []]]))).
% 42.74/41.69 ncf('1.1.2.1.2',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 204 ^ [])), 212 : member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []), 212 : -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ []))],extension(208 ^ 6,bind([[_45986], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]]))).
% 42.74/41.69 ncf('1.1.2.1.2.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [])), member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ [])],extension(218 ^ 9)).
% 42.74/41.69 ncf('1.1.2.1.2.1.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ [])), member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ []))],extension(111 ^ 10,bind([[_42436, _42438, _42440], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [], 206 ^ []]]))).
% 42.74/41.69 ncf('1.1.2.1.2.1.1.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ [])))],reduction('1.1')).
% 42.74/41.69 ncf('1.1.2.1.2.2',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ []), -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []))],extension(218 ^ 9)).
% 42.74/41.69 ncf('1.1.2.1.2.2.1',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []), member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ []))],extension(111 ^ 10,bind([[_42436, _42438, _42440], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [], 206 ^ []]]))).
% 42.74/41.69 ncf('1.1.2.1.2.2.1.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ [])))],reduction('1.1')).
% 42.74/41.69 ncf('1.2',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ [])), member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 204 ^ []), 228 : -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []))],extension(224 ^ 3,bind([[_46385], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]]))).
% 42.74/41.69 ncf('1.2.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 204 ^ [])), 212 : member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []), 212 : -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ []))],extension(208 ^ 4,bind([[_45986], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]]))).
% 42.74/41.69 ncf('1.2.1.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [])), member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], union(205 ^ [], 205 ^ [])), -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []))],extension(93 ^ 7,bind([[_41825, _41827, _41829], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [], 205 ^ []]]))).
% 42.74/41.69 ncf('1.2.1.1.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], union(205 ^ [], 205 ^ []))), 107 : member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [])],extension(103 ^ 8,bind([[_42093, _42095, _42097], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [], 205 ^ []]]))).
% 42.74/41.69 ncf('1.2.1.1.1.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [])), member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []), 79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))] = 79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [] = 205 ^ []],extension(34 ^ 11,bind([[_39761, _39763, _39765, _39767], [205 ^ [], 205 ^ [], 79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]]))).
% 42.74/41.69 ncf('1.2.1.1.1.1.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []))],extension(115 ^ 12)).
% 42.74/41.69 ncf('1.2.1.1.1.1.2',plain,[-(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))] = 79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))])],extension(2 ^ 12,bind([[_38685], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]]))).
% 42.74/41.69 ncf('1.2.1.1.1.1.3',plain,[-(205 ^ [] = 205 ^ [])],extension(2 ^ 12,bind([[_38685], [205 ^ []]]))).
% 42.74/41.69 ncf('1.2.1.1.2',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ [])],reduction('1.2.1')).
% 42.74/41.69 ncf('1.2.1.2',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ [])],reduction('1')).
% 42.74/41.69 ncf('1.2.2',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 205 ^ []), 212 : -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ [])), 212 : -(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 204 ^ []))],extension(208 ^ 6,bind([[_45986], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]]))).
% 42.74/41.69 ncf('1.2.2.1',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 206 ^ [])],reduction('1')).
% 42.74/41.69 ncf('1.2.2.2',plain,[member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], 204 ^ []), -(union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])) = 204 ^ []), 89 : member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])))],extension(78 ^ 7,bind([[_41252, _41254], [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))]]))).
% 42.74/41.69 ncf('1.2.2.2.1',plain,[union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])) = 204 ^ [], -(symmetric_difference(205 ^ [], 206 ^ []) = 204 ^ []), symmetric_difference(205 ^ [], 206 ^ []) = union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))],extension(10 ^ 8,bind([[_38996, _38998, _39000], [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])), symmetric_difference(205 ^ [], 206 ^ [])]]))).
% 42.74/41.69 ncf('1.2.2.2.1.1',plain,[symmetric_difference(205 ^ [], 206 ^ []) = 204 ^ [], -(204 ^ [] = symmetric_difference(205 ^ [], 206 ^ []))],extension(4 ^ 9,bind([[_38792, _38794], [204 ^ [], symmetric_difference(205 ^ [], 206 ^ [])]]))).
% 42.74/41.69 ncf('1.2.2.2.1.1.1',plain,[204 ^ [] = symmetric_difference(205 ^ [], 206 ^ [])],extension(238 ^ 10)).
% 42.74/41.69 ncf('1.2.2.2.1.2',plain,[-(symmetric_difference(205 ^ [], 206 ^ []) = union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])))],extension(129 ^ 9,bind([[_42993, _42995], [206 ^ [], 205 ^ []]]))).
% 42.74/41.69 ncf('1.2.2.2.2',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ [])))), 105 : member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(205 ^ [], 206 ^ []))],extension(103 ^ 10,bind([[_42093, _42095, _42097], [79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(206 ^ [], 205 ^ []), difference(205 ^ [], 206 ^ [])]]))).
% 42.74/41.69 ncf('1.2.2.2.2.1',plain,[-(member(79 ^ [204 ^ [], union(difference(205 ^ [], 206 ^ []), difference(206 ^ [], 205 ^ []))], difference(205 ^ [], 206 ^ [])))],lemmata('x')).
% 42.74/41.69 %-----------------------------------------------------
% 42.74/41.69 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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