TSTP Solution File: SET921+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET921+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 11:56:40 EDT 2023
% Result : Theorem 30.01s 29.33s
% Output : Proof 30.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET921+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.31 % Computer : n006.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Thu May 18 19:07:06 EDT 2023
% 0.16/0.31 % CPUTime :
% 30.01/29.33
% 30.01/29.33 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 30.01/29.33 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.01/29.33 %-----------------------------------------------------
% 30.01/29.33 ncf(matrix, plain, [(149 ^ _30169) ^ [] : [158 ^ _30169 : [(159 ^ _30169) ^ [] : [-(in(145 ^ [], 146 ^ []))], (161 ^ _30169) ^ [] : [145 ^ [] = 147 ^ []], (163 ^ _30169) ^ [] : [in(145 ^ [], set_difference(146 ^ [], singleton(147 ^ [])))]], 150 ^ _30169 : [(151 ^ _30169) ^ [] : [-(in(145 ^ [], set_difference(146 ^ [], singleton(147 ^ []))))], (153 ^ _30169) ^ [] : [in(145 ^ [], 146 ^ []), -(145 ^ [] = 147 ^ [])]]], (54 ^ _30169) ^ [_32003, _32005] : [_32005 = _32003, -(singleton(_32005) = singleton(_32003))], (44 ^ _30169) ^ [_31692, _31694, _31696, _31698] : [-(set_difference(_31698, _31694) = set_difference(_31696, _31692)), _31698 = _31696, _31694 = _31692], (2 ^ _30169) ^ [_30313] : [-(_30313 = _30313)], (4 ^ _30169) ^ [_30420, _30422] : [_30422 = _30420, -(_30420 = _30422)], (10 ^ _30169) ^ [_30624, _30626, _30628] : [-(_30628 = _30624), _30628 = _30626, _30626 = _30624], (20 ^ _30169) ^ [_30937, _30939] : [-(empty(_30937)), _30939 = _30937, empty(_30939)], (30 ^ _30169) ^ [_31240, _31242, _31244, _31246] : [-(in(_31244, _31240)), in(_31246, _31242), _31246 = _31244, _31242 = _31240], (60 ^ _30169) ^ [_32227, _32229] : [in(_32229, _32227), in(_32227, _32229)], (82 ^ _30169) ^ [_32988, _32990] : [-(_32988 = singleton(_32990)), 86 ^ _30169 : [(87 ^ _30169) ^ [] : [-(in(83 ^ [_32988, _32990], _32988))], (89 ^ _30169) ^ [] : [83 ^ [_32988, _32990] = _32990]], 90 ^ _30169 : [(91 ^ _30169) ^ [] : [-(83 ^ [_32988, _32990] = _32990)], (93 ^ _30169) ^ [] : [in(83 ^ [_32988, _32990], _32988)]]], (66 ^ _30169) ^ [_32467, _32469] : [_32467 = singleton(_32469), 69 ^ _30169 : [(70 ^ _30169) ^ [_32637] : [in(_32637, _32467), -(_32637 = _32469)], (76 ^ _30169) ^ [_32809] : [_32809 = _32469, -(in(_32809, _32467))]]], (141 ^ _30169) ^ [] : [-(empty(139 ^ []))], (144 ^ _30169) ^ [] : [empty(142 ^ [])], (119 ^ _30169) ^ [_34298, _34300, _34302] : [-(_34298 = set_difference(_34302, _34300)), 131 ^ _30169 : [(132 ^ _30169) ^ [] : [-(in(120 ^ [_34298, _34300, _34302], _34302))], (134 ^ _30169) ^ [] : [in(120 ^ [_34298, _34300, _34302], _34300)], (136 ^ _30169) ^ [] : [in(120 ^ [_34298, _34300, _34302], _34298)]], 123 ^ _30169 : [(124 ^ _30169) ^ [] : [-(in(120 ^ [_34298, _34300, _34302], _34298))], (126 ^ _30169) ^ [] : [in(120 ^ [_34298, _34300, _34302], _34302), -(in(120 ^ [_34298, _34300, _34302], _34300))]]], (97 ^ _30169) ^ [_33567, _33569, _33571] : [_33567 = set_difference(_33571, _33569), 100 ^ _30169 : [(101 ^ _30169) ^ [_33751] : [in(_33751, _33567), 104 ^ _30169 : [(105 ^ _30169) ^ [] : [-(in(_33751, _33571))], (107 ^ _30169) ^ [] : [in(_33751, _33569)]]], (109 ^ _30169) ^ [_34011] : [-(in(_34011, _33567)), in(_34011, _33571), -(in(_34011, _33569))]]]], input).
% 30.01/29.33 ncf('1',plain,[set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))) = set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), 101 : in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))), 107 : in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(singleton(singleton(singleton(singleton(_15390))))))],start(97 ^ 0,bind([[_33567, _33569, _33571, _33751], [set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))), 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.1',plain,[-(set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))) = set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))), singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(singleton(singleton(singleton(singleton(_15390)))))],extension(44 ^ 1,bind([[_31692, _31694, _31696, _31698], [singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))]]))).
% 30.01/29.33 ncf('1.1.1',plain,[-(singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(singleton(singleton(singleton(_15390)))) = singleton(singleton(singleton(singleton(_15390))))],extension(54 ^ 2,bind([[_32003, _32005], [singleton(singleton(singleton(singleton(_15390)))), singleton(singleton(singleton(singleton(_15390))))]]))).
% 30.01/29.33 ncf('1.1.1.1',plain,[-(singleton(singleton(singleton(singleton(_15390)))) = singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(_15390))) = singleton(singleton(singleton(_15390)))],extension(54 ^ 3,bind([[_32003, _32005], [singleton(singleton(singleton(_15390))), singleton(singleton(singleton(_15390)))]]))).
% 30.01/29.33 ncf('1.1.1.1.1',plain,[-(singleton(singleton(singleton(_15390))) = singleton(singleton(singleton(_15390)))), singleton(singleton(_15390)) = singleton(singleton(_15390))],extension(54 ^ 4,bind([[_32003, _32005], [singleton(singleton(_15390)), singleton(singleton(_15390))]]))).
% 30.01/29.33 ncf('1.1.1.1.1.1',plain,[-(singleton(singleton(_15390)) = singleton(singleton(_15390))), singleton(_15390) = singleton(_15390)],extension(54 ^ 5,bind([[_32003, _32005], [singleton(_15390), singleton(_15390)]]))).
% 30.01/29.33 ncf('1.1.1.1.1.1.1',plain,[-(singleton(_15390) = singleton(_15390)), _15390 = _15390],extension(54 ^ 6,bind([[_32003, _32005], [_15390, _15390]]))).
% 30.01/29.33 ncf('1.1.1.1.1.1.1.1',plain,[-(_15390 = _15390)],extension(2 ^ 7,bind([[_30313], [_15390]]))).
% 30.01/29.33 ncf('1.1.2',plain,[-(singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(singleton(singleton(singleton(_15390)))) = singleton(singleton(singleton(singleton(_15390))))],extension(54 ^ 2,bind([[_32003, _32005], [singleton(singleton(singleton(singleton(_15390)))), singleton(singleton(singleton(singleton(_15390))))]]))).
% 30.01/29.33 ncf('1.1.2.1',plain,[-(singleton(singleton(singleton(singleton(_15390)))) = singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(_15390))) = singleton(singleton(singleton(_15390)))],extension(54 ^ 3,bind([[_32003, _32005], [singleton(singleton(singleton(_15390))), singleton(singleton(singleton(_15390)))]]))).
% 30.01/29.33 ncf('1.1.2.1.1',plain,[-(singleton(singleton(singleton(_15390))) = singleton(singleton(singleton(_15390)))), singleton(singleton(_15390)) = singleton(singleton(_15390))],extension(54 ^ 4,bind([[_32003, _32005], [singleton(singleton(_15390)), singleton(singleton(_15390))]]))).
% 30.01/29.33 ncf('1.1.2.1.1.1',plain,[-(singleton(singleton(_15390)) = singleton(singleton(_15390))), singleton(_15390) = singleton(_15390)],extension(54 ^ 5,bind([[_32003, _32005], [singleton(_15390), singleton(_15390)]]))).
% 30.01/29.33 ncf('1.1.2.1.1.1.1',plain,[-(singleton(_15390) = singleton(_15390)), _15390 = _15390],extension(54 ^ 6,bind([[_32003, _32005], [_15390, _15390]]))).
% 30.01/29.33 ncf('1.1.2.1.1.1.1.1',plain,[-(_15390 = _15390)],extension(2 ^ 7,bind([[_30313], [_15390]]))).
% 30.01/29.33 ncf('1.2',plain,[-(in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))))), 126 : in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(147 ^ [])), 126 : -(singleton(147 ^ []) = set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))))), 132 : -(in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(147 ^ [])))],extension(119 ^ 3,bind([[_34298, _34300, _34302], [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]))).
% 30.01/29.33 ncf('1.2.1',plain,[-(in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(147 ^ []))), 76 : 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])] = 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], 76 : singleton(147 ^ []) = singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])])],extension(66 ^ 6,bind([[_32467, _32469, _32809], [singleton(147 ^ []), 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.2.1.1',plain,[-(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])] = 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])])],extension(2 ^ 9,bind([[_30313], [120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.2.1.2',plain,[-(singleton(147 ^ []) = singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])])), 147 ^ [] = 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]],extension(54 ^ 7,bind([[_32003, _32005], [120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], 147 ^ []]]))).
% 30.01/29.33 ncf('1.2.1.2.1',plain,[-(147 ^ [] = 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]), 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])] = 147 ^ []],extension(4 ^ 8,bind([[_30420, _30422], [147 ^ [], 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.2.1.2.1.1',plain,[-(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])] = 147 ^ []), 70 : in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(147 ^ [])), 70 : singleton(147 ^ []) = singleton(147 ^ [])],extension(66 ^ 9,bind([[_32467, _32469, _32637], [singleton(147 ^ []), 147 ^ [], 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.2.1.2.1.1.1',plain,[-(in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(147 ^ []))), in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(147 ^ [])), 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])] = 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(147 ^ []) = singleton(147 ^ [])],extension(30 ^ 12,bind([[_31240, _31242, _31244, _31246], [singleton(147 ^ []), singleton(147 ^ []), 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.2.1.2.1.1.1.1',plain,[-(in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(147 ^ [])))],extension(124 ^ 13)).
% 30.01/29.33 ncf('1.2.1.2.1.1.1.2',plain,[-(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])] = 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])])],extension(2 ^ 13,bind([[_30313], [120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.2.1.2.1.1.1.3',plain,[-(singleton(147 ^ []) = singleton(147 ^ []))],extension(2 ^ 13,bind([[_30313], [singleton(147 ^ [])]]))).
% 30.01/29.33 ncf('1.2.1.2.1.1.2',plain,[-(singleton(147 ^ []) = singleton(147 ^ [])), 147 ^ [] = 147 ^ []],extension(54 ^ 10,bind([[_32003, _32005], [147 ^ [], 147 ^ []]]))).
% 30.01/29.33 ncf('1.2.1.2.1.1.2.1',plain,[-(147 ^ [] = 147 ^ [])],extension(2 ^ 11,bind([[_30313], [147 ^ []]]))).
% 30.01/29.33 ncf('1.2.2',plain,[singleton(147 ^ []) = set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))), -(set_difference(146 ^ [], singleton(147 ^ [])) = set_difference(146 ^ [], set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))))), 146 ^ [] = 146 ^ []],extension(44 ^ 4,bind([[_31692, _31694, _31696, _31698], [set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))), singleton(147 ^ []), 146 ^ [], 146 ^ []]]))).
% 30.01/29.33 ncf('1.2.2.1',plain,[set_difference(146 ^ [], singleton(147 ^ [])) = set_difference(146 ^ [], set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))))), 101 : in(145 ^ [], set_difference(146 ^ [], singleton(147 ^ []))), 107 : in(145 ^ [], set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))))],extension(97 ^ 5,bind([[_33567, _33569, _33571, _33751], [set_difference(146 ^ [], singleton(147 ^ [])), set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))), 146 ^ [], 145 ^ []]]))).
% 30.01/29.33 ncf('1.2.2.1.1',plain,[-(in(145 ^ [], set_difference(146 ^ [], singleton(147 ^ [])))), 159 : -(in(145 ^ [], 146 ^ []))],extension(149 ^ 8)).
% 30.01/29.33 ncf('1.2.2.1.1.1',plain,[in(145 ^ [], 146 ^ []), -(in(145 ^ [], set_difference(146 ^ [], singleton(147 ^ [])))), -(in(145 ^ [], set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))))))],extension(109 ^ 11,bind([[_34011], [145 ^ []]]))).
% 30.01/29.33 ncf('1.2.2.1.1.1.1',plain,[in(145 ^ [], set_difference(146 ^ [], singleton(147 ^ [])))],reduction('1.2.2.1')).
% 30.01/29.33 ncf('1.2.2.1.1.1.2',plain,[in(145 ^ [], set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))))), 70 : -(145 ^ [] = 147 ^ []), 70 : set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))) = singleton(147 ^ [])],extension(66 ^ 12,bind([[_32467, _32469, _32637], [set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))), 147 ^ [], 145 ^ []]]))).
% 30.01/29.33 ncf('1.2.2.1.1.1.2.1',plain,[145 ^ [] = 147 ^ []],extension(161 ^ 15)).
% 30.01/29.33 ncf('1.2.2.1.1.1.2.2',plain,[-(set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))) = singleton(147 ^ [])), singleton(147 ^ []) = set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))))],extension(4 ^ 13,bind([[_30420, _30422], [set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))), singleton(147 ^ [])]]))).
% 30.01/29.33 ncf('1.2.2.1.1.1.2.2.1',plain,[-(singleton(147 ^ []) = set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))))],reduction('1.2')).
% 30.01/29.33 ncf('1.2.2.1.2',plain,[-(in(145 ^ [], set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))))), 76 : 145 ^ [] = 147 ^ [], 76 : set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))) = singleton(147 ^ [])],extension(66 ^ 10,bind([[_32467, _32469, _32809], [set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))), 147 ^ [], 145 ^ []]]))).
% 30.01/29.33 ncf('1.2.2.1.2.1',plain,[-(145 ^ [] = 147 ^ []), 153 : in(145 ^ [], 146 ^ []), 159 : -(in(145 ^ [], 146 ^ []))],extension(149 ^ 13)).
% 30.01/29.33 ncf('1.2.2.1.2.1.1',plain,[-(in(145 ^ [], 146 ^ []))],extension(105 ^ 16)).
% 30.01/29.33 ncf('1.2.2.1.2.1.2',plain,[in(145 ^ [], 146 ^ []), -(in(145 ^ [], set_difference(146 ^ [], singleton(147 ^ [])))), -(in(145 ^ [], set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))))))],extension(109 ^ 16,bind([[_34011], [145 ^ []]]))).
% 30.01/29.33 ncf('1.2.2.1.2.1.2.1',plain,[in(145 ^ [], set_difference(146 ^ [], singleton(147 ^ [])))],extension(163 ^ 17)).
% 30.01/29.33 ncf('1.2.2.1.2.1.2.2',plain,[in(145 ^ [], set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))))],reduction('1.2.2.1')).
% 30.01/29.33 ncf('1.2.2.1.2.2',plain,[-(set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))) = singleton(147 ^ [])), singleton(147 ^ []) = set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))))],extension(4 ^ 11,bind([[_30420, _30422], [set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))), singleton(147 ^ [])]]))).
% 30.01/29.33 ncf('1.2.2.1.2.2.1',plain,[-(singleton(147 ^ []) = set_difference(singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390))))))))],reduction('1.2')).
% 30.01/29.33 ncf('1.2.2.2',plain,[-(146 ^ [] = 146 ^ [])],extension(2 ^ 5,bind([[_30313], [146 ^ []]]))).
% 30.01/29.33 ncf('1.2.3',plain,[in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(147 ^ []))],extension(136 ^ 6)).
% 30.01/29.33 ncf('1.3',plain,[-(in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(singleton(singleton(singleton(singleton(_15390))))))), 76 : 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])] = 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], 76 : singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])])],extension(66 ^ 5,bind([[_32467, _32469, _32809], [singleton(singleton(singleton(singleton(singleton(_15390))))), 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.3.1',plain,[-(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])] = 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])])],extension(2 ^ 8,bind([[_30313], [120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.3.2',plain,[-(singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])])), 70 : in(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(singleton(_15390))))))), 70 : singleton(singleton(singleton(singleton(singleton(singleton(_15390)))))) = singleton(singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]))],extension(66 ^ 6,bind([[_32467, _32469, _32637], [singleton(singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]), singleton(singleton(singleton(singleton(singleton(_15390)))))]]))).
% 30.01/29.33 ncf('1.3.2.1',plain,[-(in(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(singleton(_15390)))))))), 76 : singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(singleton(singleton(singleton(singleton(_15390))))), 76 : singleton(singleton(singleton(singleton(singleton(singleton(_15390)))))) = singleton(singleton(singleton(singleton(singleton(singleton(_15390))))))],extension(66 ^ 9,bind([[_32467, _32469, _32809], [singleton(singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))]]))).
% 30.01/29.33 ncf('1.3.2.1.1',plain,[-(singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(singleton(singleton(singleton(_15390)))) = singleton(singleton(singleton(singleton(_15390))))],extension(54 ^ 12,bind([[_32003, _32005], [singleton(singleton(singleton(singleton(_15390)))), singleton(singleton(singleton(singleton(_15390))))]]))).
% 30.01/29.33 ncf('1.3.2.1.1.1',plain,[-(singleton(singleton(singleton(singleton(_15390)))) = singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(_15390))) = singleton(singleton(singleton(_15390)))],extension(54 ^ 13,bind([[_32003, _32005], [singleton(singleton(singleton(_15390))), singleton(singleton(singleton(_15390)))]]))).
% 30.01/29.33 ncf('1.3.2.1.1.1.1',plain,[-(singleton(singleton(singleton(_15390))) = singleton(singleton(singleton(_15390)))), singleton(singleton(_15390)) = singleton(singleton(_15390))],extension(54 ^ 14,bind([[_32003, _32005], [singleton(singleton(_15390)), singleton(singleton(_15390))]]))).
% 30.01/29.33 ncf('1.3.2.1.1.1.1.1',plain,[-(singleton(singleton(_15390)) = singleton(singleton(_15390)))],extension(2 ^ 15,bind([[_30313], [singleton(singleton(_15390))]]))).
% 30.01/29.33 ncf('1.3.2.1.2',plain,[-(singleton(singleton(singleton(singleton(singleton(singleton(_15390)))))) = singleton(singleton(singleton(singleton(singleton(singleton(_15390))))))), singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(singleton(singleton(singleton(singleton(_15390)))))],extension(54 ^ 10,bind([[_32003, _32005], [singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))]]))).
% 30.01/29.33 ncf('1.3.2.1.2.1',plain,[-(singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(singleton(singleton(singleton(_15390)))) = singleton(singleton(singleton(singleton(_15390))))],extension(54 ^ 11,bind([[_32003, _32005], [singleton(singleton(singleton(singleton(_15390)))), singleton(singleton(singleton(singleton(_15390))))]]))).
% 30.01/29.33 ncf('1.3.2.1.2.1.1',plain,[-(singleton(singleton(singleton(singleton(_15390)))) = singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(_15390))) = singleton(singleton(singleton(_15390)))],extension(54 ^ 12,bind([[_32003, _32005], [singleton(singleton(singleton(_15390))), singleton(singleton(singleton(_15390)))]]))).
% 30.01/29.33 ncf('1.3.2.1.2.1.1.1',plain,[-(singleton(singleton(singleton(_15390))) = singleton(singleton(singleton(_15390))))],extension(2 ^ 13,bind([[_30313], [singleton(singleton(singleton(_15390)))]]))).
% 30.01/29.33 ncf('1.3.2.2',plain,[-(singleton(singleton(singleton(singleton(singleton(singleton(_15390)))))) = singleton(singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]))), singleton(singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])])) = singleton(singleton(singleton(singleton(singleton(singleton(_15390))))))],extension(4 ^ 7,bind([[_30420, _30422], [singleton(singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]))]]))).
% 30.01/29.33 ncf('1.3.2.2.1',plain,[-(singleton(singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])])) = singleton(singleton(singleton(singleton(singleton(singleton(_15390))))))), singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]) = singleton(singleton(singleton(singleton(singleton(_15390)))))],extension(54 ^ 8,bind([[_32003, _32005], [singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])])]]))).
% 30.01/29.33 ncf('1.3.2.2.1.1',plain,[-(singleton(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]) = singleton(singleton(singleton(singleton(singleton(_15390)))))), 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])] = singleton(singleton(singleton(singleton(_15390))))],extension(54 ^ 9,bind([[_32003, _32005], [singleton(singleton(singleton(singleton(_15390)))), 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.3.2.2.1.1.1',plain,[-(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])] = singleton(singleton(singleton(singleton(_15390))))), 70 : in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(singleton(singleton(singleton(singleton(_15390)))))), 70 : singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(singleton(singleton(singleton(singleton(_15390)))))],extension(66 ^ 10,bind([[_32467, _32469, _32637], [singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(_15390)))), 120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])]]]))).
% 30.01/29.33 ncf('1.3.2.2.1.1.1.1',plain,[-(in(120 ^ [singleton(147 ^ []), set_difference(singleton(singleton(singleton(singleton(singleton(_15390))))), singleton(singleton(singleton(singleton(singleton(_15390)))))), singleton(147 ^ [])], singleton(singleton(singleton(singleton(singleton(_15390)))))))],extension(105 ^ 13)).
% 30.01/29.33 ncf('1.3.2.2.1.1.1.2',plain,[-(singleton(singleton(singleton(singleton(singleton(_15390))))) = singleton(singleton(singleton(singleton(singleton(_15390))))))],extension(2 ^ 11,bind([[_30313], [singleton(singleton(singleton(singleton(singleton(_15390)))))]]))).
% 30.01/29.33 %-----------------------------------------------------
% 30.01/29.33 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------