TSTP Solution File: SET949+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET949+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 11:56:43 EDT 2023
% Result : Theorem 0.33s 1.38s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET949+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 18:59:24 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.33/1.38
% 0.33/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 ncf(matrix, plain, [(160 ^ _25632) ^ [] : [-(in(156 ^ [], cartesian_product2(157 ^ [], 158 ^ [])))], (162 ^ _25632) ^ [_31889, _31891] : [ordered_pair(_31891, _31889) = 156 ^ []], (80 ^ _25632) ^ [_28416, _28418] : [in(_28418, _28416), in(_28416, _28418)], (86 ^ _25632) ^ [_28612, _28614] : [-(unordered_pair(_28614, _28612) = unordered_pair(_28612, _28614))], (147 ^ _25632) ^ [_31260, _31262] : [-(ordered_pair(_31262, _31260) = unordered_pair(unordered_pair(_31262, _31260), singleton(_31262)))], (149 ^ _25632) ^ [_31364, _31366] : [empty(ordered_pair(_31366, _31364))], (152 ^ _25632) ^ [] : [-(empty(150 ^ []))], (155 ^ _25632) ^ [] : [empty(153 ^ [])], (118 ^ _25632) ^ [_30027, _30029, _30031] : [-(_30027 = cartesian_product2(_30031, _30029)), 136 ^ _25632 : [(137 ^ _25632) ^ [] : [-(in(134 ^ [_30027, _30029, _30031], _30031))], (139 ^ _25632) ^ [] : [-(in(135 ^ [_30027, _30029, _30031], _30029))], (141 ^ _25632) ^ [] : [-(119 ^ [_30027, _30029, _30031] = ordered_pair(134 ^ [_30027, _30029, _30031], 135 ^ [_30027, _30029, _30031]))], (143 ^ _25632) ^ [] : [in(119 ^ [_30027, _30029, _30031], _30027)]], 122 ^ _25632 : [(123 ^ _25632) ^ [] : [-(in(119 ^ [_30027, _30029, _30031], _30027))], (125 ^ _25632) ^ [_30365, _30367] : [in(_30367, _30031), in(_30365, _30029), 119 ^ [_30027, _30029, _30031] = ordered_pair(_30367, _30365)]]], (88 ^ _25632) ^ [_28770, _28772, _28774] : [_28770 = cartesian_product2(_28774, _28772), 91 ^ _25632 : [(92 ^ _25632) ^ [_28971] : [in(_28971, _28770), 97 ^ _25632 : [(98 ^ _25632) ^ [] : [-(in(95 ^ [_28770, _28772, _28774, _28971], _28774))], (100 ^ _25632) ^ [] : [-(in(96 ^ [_28770, _28772, _28774, _28971], _28772))], (102 ^ _25632) ^ [] : [-(_28971 = ordered_pair(95 ^ [_28770, _28772, _28774, _28971], 96 ^ [_28770, _28772, _28774, _28971]))]]], (104 ^ _25632) ^ [_29531] : [-(in(_29531, _28770)), 105 ^ _25632 : [(106 ^ _25632) ^ [_29661, _29663] : [in(_29663, _28774), in(_29661, _28772), _29531 = ordered_pair(_29663, _29661)]]]]], (44 ^ _25632) ^ [_27155, _27157, _27159, _27161] : [-(unordered_pair(_27161, _27157) = unordered_pair(_27159, _27155)), _27161 = _27159, _27157 = _27155], (54 ^ _25632) ^ [_27486, _27488] : [_27488 = _27486, -(singleton(_27488) = singleton(_27486))], (60 ^ _25632) ^ [_27732, _27734, _27736, _27738] : [-(cartesian_product2(_27738, _27734) = cartesian_product2(_27736, _27732)), _27738 = _27736, _27734 = _27732], (70 ^ _25632) ^ [_28071, _28073, _28075, _28077] : [-(ordered_pair(_28077, _28073) = ordered_pair(_28075, _28071)), _28077 = _28075, _28073 = _28071], (2 ^ _25632) ^ [_25776] : [-(_25776 = _25776)], (4 ^ _25632) ^ [_25883, _25885] : [_25885 = _25883, -(_25883 = _25885)], (10 ^ _25632) ^ [_26087, _26089, _26091] : [-(_26091 = _26087), _26091 = _26089, _26089 = _26087], (20 ^ _25632) ^ [_26400, _26402] : [-(empty(_26400)), _26402 = _26400, empty(_26402)], (30 ^ _25632) ^ [_26703, _26705, _26707, _26709] : [-(in(_26707, _26703)), in(_26709, _26705), _26709 = _26707, _26705 = _26703]], input).
% 0.33/1.38 ncf('1',plain,[ordered_pair(95 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []], 96 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []]) = 156 ^ []],start(162 ^ 0,bind([[_31889, _31891], [96 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []], 95 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []]]]))).
% 0.33/1.38 ncf('1.1',plain,[-(ordered_pair(95 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []], 96 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []]) = 156 ^ []), 156 ^ [] = ordered_pair(95 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []], 96 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []])],extension(4 ^ 1,bind([[_25883, _25885], [ordered_pair(95 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []], 96 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []]), 156 ^ []]]))).
% 0.33/1.38 ncf('1.1.1',plain,[-(156 ^ [] = ordered_pair(95 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []], 96 ^ [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []])), 92 : in(156 ^ [], cartesian_product2(157 ^ [], 158 ^ [])), 92 : cartesian_product2(157 ^ [], 158 ^ []) = cartesian_product2(157 ^ [], 158 ^ [])],extension(88 ^ 2,bind([[_28770, _28772, _28774, _28971], [cartesian_product2(157 ^ [], 158 ^ []), 158 ^ [], 157 ^ [], 156 ^ []]]))).
% 0.33/1.38 ncf('1.1.1.1',plain,[-(in(156 ^ [], cartesian_product2(157 ^ [], 158 ^ [])))],extension(160 ^ 5)).
% 0.33/1.38 ncf('1.1.1.2',plain,[-(cartesian_product2(157 ^ [], 158 ^ []) = cartesian_product2(157 ^ [], 158 ^ []))],extension(2 ^ 3,bind([[_25776], [cartesian_product2(157 ^ [], 158 ^ [])]]))).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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