TSTP Solution File: SET955+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET955+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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 11:56:44 EDT 2023
% Result : Theorem 7.55s 7.57s
% Output : Proof 7.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET955+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 19:39:41 EDT 2023
% 0.12/0.33 % CPUTime :
% 7.55/7.57
% 7.55/7.57 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 7.55/7.57 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.55/7.57 %-----------------------------------------------------
% 7.55/7.57 ncf(matrix, plain, [(188 ^ _40694) ^ [] : [cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(173 ^ [], 174 ^ [])], (176 ^ _40694) ^ [_47621, _47623] : [in(ordered_pair(_47623, _47621), cartesian_product2(171 ^ [], 172 ^ [])), -(in(ordered_pair(_47623, _47621), cartesian_product2(173 ^ [], 174 ^ [])))], (182 ^ _40694) ^ [_47795, _47797] : [in(ordered_pair(_47797, _47795), cartesian_product2(173 ^ [], 174 ^ [])), -(in(ordered_pair(_47797, _47795), cartesian_product2(171 ^ [], 172 ^ [])))], (80 ^ _40694) ^ [_43478, _43480] : [in(_43480, _43478), in(_43478, _43480)], (86 ^ _40694) ^ [_43674, _43676] : [-(unordered_pair(_43676, _43674) = unordered_pair(_43674, _43676))], (147 ^ _40694) ^ [_46322, _46324] : [-(ordered_pair(_46324, _46322) = unordered_pair(unordered_pair(_46324, _46322), singleton(_46324)))], (149 ^ _40694) ^ [_46426, _46428] : [empty(ordered_pair(_46428, _46426))], (152 ^ _40694) ^ [] : [-(empty(150 ^ []))], (155 ^ _40694) ^ [] : [empty(153 ^ [])], (157 ^ _40694) ^ [_46696, _46698] : [-(_46698 = _46696), 161 ^ _40694 : [(162 ^ _40694) ^ [] : [-(in(158 ^ [_46696, _46698], _46698))], (164 ^ _40694) ^ [] : [in(158 ^ [_46696, _46698], _46696)]], 165 ^ _40694 : [(166 ^ _40694) ^ [] : [-(in(158 ^ [_46696, _46698], _46696))], (168 ^ _40694) ^ [] : [in(158 ^ [_46696, _46698], _46698)]]], (118 ^ _40694) ^ [_45089, _45091, _45093] : [-(_45089 = cartesian_product2(_45093, _45091)), 136 ^ _40694 : [(137 ^ _40694) ^ [] : [-(in(134 ^ [_45089, _45091, _45093], _45093))], (139 ^ _40694) ^ [] : [-(in(135 ^ [_45089, _45091, _45093], _45091))], (141 ^ _40694) ^ [] : [-(119 ^ [_45089, _45091, _45093] = ordered_pair(134 ^ [_45089, _45091, _45093], 135 ^ [_45089, _45091, _45093]))], (143 ^ _40694) ^ [] : [in(119 ^ [_45089, _45091, _45093], _45089)]], 122 ^ _40694 : [(123 ^ _40694) ^ [] : [-(in(119 ^ [_45089, _45091, _45093], _45089))], (125 ^ _40694) ^ [_45427, _45429] : [in(_45429, _45093), in(_45427, _45091), 119 ^ [_45089, _45091, _45093] = ordered_pair(_45429, _45427)]]], (88 ^ _40694) ^ [_43832, _43834, _43836] : [_43832 = cartesian_product2(_43836, _43834), 91 ^ _40694 : [(92 ^ _40694) ^ [_44033] : [in(_44033, _43832), 97 ^ _40694 : [(98 ^ _40694) ^ [] : [-(in(95 ^ [_43832, _43834, _43836, _44033], _43836))], (100 ^ _40694) ^ [] : [-(in(96 ^ [_43832, _43834, _43836, _44033], _43834))], (102 ^ _40694) ^ [] : [-(_44033 = ordered_pair(95 ^ [_43832, _43834, _43836, _44033], 96 ^ [_43832, _43834, _43836, _44033]))]]], (104 ^ _40694) ^ [_44593] : [-(in(_44593, _43832)), 105 ^ _40694 : [(106 ^ _40694) ^ [_44723, _44725] : [in(_44725, _43836), in(_44723, _43834), _44593 = ordered_pair(_44725, _44723)]]]]], (44 ^ _40694) ^ [_42217, _42219, _42221, _42223] : [-(unordered_pair(_42223, _42219) = unordered_pair(_42221, _42217)), _42223 = _42221, _42219 = _42217], (54 ^ _40694) ^ [_42548, _42550] : [_42550 = _42548, -(singleton(_42550) = singleton(_42548))], (60 ^ _40694) ^ [_42794, _42796, _42798, _42800] : [-(ordered_pair(_42800, _42796) = ordered_pair(_42798, _42794)), _42800 = _42798, _42796 = _42794], (70 ^ _40694) ^ [_43133, _43135, _43137, _43139] : [-(cartesian_product2(_43139, _43135) = cartesian_product2(_43137, _43133)), _43139 = _43137, _43135 = _43133], (2 ^ _40694) ^ [_40838] : [-(_40838 = _40838)], (4 ^ _40694) ^ [_40945, _40947] : [_40947 = _40945, -(_40945 = _40947)], (10 ^ _40694) ^ [_41149, _41151, _41153] : [-(_41153 = _41149), _41153 = _41151, _41151 = _41149], (20 ^ _40694) ^ [_41462, _41464] : [-(empty(_41462)), _41464 = _41462, empty(_41464)], (30 ^ _40694) ^ [_41765, _41767, _41769, _41771] : [-(in(_41769, _41765)), in(_41771, _41767), _41771 = _41769, _41767 = _41765]], input).
% 7.55/7.57 ncf('1',plain,[cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(173 ^ [], 174 ^ [])],start(188 ^ 0)).
% 7.55/7.57 ncf('1.1',plain,[-(cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(173 ^ [], 174 ^ [])), 164 : in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(173 ^ [], 174 ^ [])), 168 : in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))],extension(157 ^ 1,bind([[_46696, _46698], [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]))).
% 7.55/7.57 ncf('1.1.1',plain,[-(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(173 ^ [], 174 ^ []))), in(ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), cartesian_product2(173 ^ [], 174 ^ [])), ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]) = 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(173 ^ [], 174 ^ []) = cartesian_product2(173 ^ [], 174 ^ [])],extension(30 ^ 4,bind([[_41765, _41767, _41769, _41771], [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ []), 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]])]]))).
% 7.55/7.57 ncf('1.1.1.1',plain,[-(in(ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), cartesian_product2(173 ^ [], 174 ^ []))), in(ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), cartesian_product2(171 ^ [], 172 ^ []))],extension(176 ^ 5,bind([[_47621, _47623], [96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]]]))).
% 7.55/7.57 ncf('1.1.1.1.1',plain,[-(in(ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), cartesian_product2(171 ^ [], 172 ^ []))), in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ [])), 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])] = ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(171 ^ [], 172 ^ [])],extension(30 ^ 6,bind([[_41765, _41767, _41769, _41771], [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ []), ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]]))).
% 7.55/7.57 ncf('1.1.1.1.1.1',plain,[-(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ [])))],extension(162 ^ 7)).
% 7.55/7.57 ncf('1.1.1.1.1.2',plain,[-(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])] = ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]])), 92 : in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ [])), 92 : cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(171 ^ [], 172 ^ [])],extension(88 ^ 7,bind([[_43832, _43834, _43836, _44033], [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]]))).
% 7.55/7.57 ncf('1.1.1.1.1.2.1',plain,[-(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ [])))],extension(162 ^ 10)).
% 7.55/7.57 ncf('1.1.1.1.1.2.2',plain,[-(cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(171 ^ [], 172 ^ []))],extension(2 ^ 8,bind([[_40838], [cartesian_product2(171 ^ [], 172 ^ [])]]))).
% 7.55/7.57 ncf('1.1.1.1.1.3',plain,[-(cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(171 ^ [], 172 ^ [])), 162 : -(in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))), 166 : -(in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ [])))],extension(157 ^ 7,bind([[_46696, _46698], [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]))).
% 7.55/7.57 ncf('1.1.1.1.1.3.1',plain,[in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))],extension(164 ^ 10)).
% 7.55/7.57 ncf('1.1.1.1.1.3.2',plain,[in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))],extension(168 ^ 10)).
% 7.55/7.57 ncf('1.1.1.2',plain,[-(ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]) = 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]), 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])] = ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]])],extension(4 ^ 5,bind([[_40945, _40947], [ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]]))).
% 7.55/7.57 ncf('1.1.1.2.1',plain,[-(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])] = ordered_pair(95 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]])), 92 : in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ [])), 92 : cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(171 ^ [], 172 ^ [])],extension(88 ^ 6,bind([[_43832, _43834, _43836, _44033], [cartesian_product2(171 ^ [], 172 ^ []), 172 ^ [], 171 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]]))).
% 7.55/7.57 ncf('1.1.1.2.1.1',plain,[-(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ [])))],extension(162 ^ 9)).
% 7.55/7.57 ncf('1.1.1.2.1.2',plain,[-(cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(171 ^ [], 172 ^ [])), 162 : -(in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))), 166 : -(in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ [])))],extension(157 ^ 7,bind([[_46696, _46698], [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]))).
% 7.55/7.57 ncf('1.1.1.2.1.2.1',plain,[in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))],extension(164 ^ 10)).
% 7.55/7.57 ncf('1.1.1.2.1.2.2',plain,[in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))],extension(168 ^ 10)).
% 7.55/7.57 ncf('1.1.1.3',plain,[-(cartesian_product2(173 ^ [], 174 ^ []) = cartesian_product2(173 ^ [], 174 ^ [])), 162 : -(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ []))), 166 : -(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ [])))],extension(157 ^ 5,bind([[_46696, _46698], [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])]]))).
% 7.55/7.57 ncf('1.1.1.3.1',plain,[in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ []))],extension(164 ^ 8)).
% 7.55/7.57 ncf('1.1.1.3.2',plain,[in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ []))],extension(168 ^ 8)).
% 7.55/7.57 ncf('1.1.2',plain,[-(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))), in(ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), cartesian_product2(171 ^ [], 172 ^ [])), ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]) = 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(171 ^ [], 172 ^ [])],extension(30 ^ 4,bind([[_41765, _41767, _41769, _41771], [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ []), 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]])]]))).
% 7.55/7.57 ncf('1.1.2.1',plain,[-(in(ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), cartesian_product2(171 ^ [], 172 ^ []))), in(ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), cartesian_product2(173 ^ [], 174 ^ []))],extension(182 ^ 5,bind([[_47795, _47797], [96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]]]))).
% 7.55/7.57 ncf('1.1.2.1.1',plain,[-(in(ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), cartesian_product2(173 ^ [], 174 ^ []))), in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(173 ^ [], 174 ^ [])), 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])] = ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), cartesian_product2(173 ^ [], 174 ^ []) = cartesian_product2(173 ^ [], 174 ^ [])],extension(30 ^ 6,bind([[_41765, _41767, _41769, _41771], [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ []), ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]]))).
% 7.55/7.57 ncf('1.1.2.1.1.1',plain,[-(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(173 ^ [], 174 ^ [])))],extension(166 ^ 7)).
% 7.55/7.57 ncf('1.1.2.1.1.2',plain,[-(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])] = ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]])), 92 : in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(173 ^ [], 174 ^ [])), 92 : cartesian_product2(173 ^ [], 174 ^ []) = cartesian_product2(173 ^ [], 174 ^ [])],extension(88 ^ 7,bind([[_43832, _43834, _43836, _44033], [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]]))).
% 7.55/7.57 ncf('1.1.2.1.1.2.1',plain,[-(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(173 ^ [], 174 ^ [])))],extension(166 ^ 10)).
% 7.55/7.57 ncf('1.1.2.1.1.2.2',plain,[-(cartesian_product2(173 ^ [], 174 ^ []) = cartesian_product2(173 ^ [], 174 ^ []))],extension(2 ^ 8,bind([[_40838], [cartesian_product2(173 ^ [], 174 ^ [])]]))).
% 7.55/7.57 ncf('1.1.2.1.1.3',plain,[-(cartesian_product2(173 ^ [], 174 ^ []) = cartesian_product2(173 ^ [], 174 ^ [])), 162 : -(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ []))), 166 : -(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ [])))],extension(157 ^ 7,bind([[_46696, _46698], [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])]]))).
% 7.55/7.57 ncf('1.1.2.1.1.3.1',plain,[in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ []))],extension(164 ^ 10)).
% 7.55/7.57 ncf('1.1.2.1.1.3.2',plain,[in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ []))],extension(168 ^ 10)).
% 7.55/7.57 ncf('1.1.2.2',plain,[-(ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]) = 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]), 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])] = ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]])],extension(4 ^ 5,bind([[_40945, _40947], [ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]), 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]]))).
% 7.55/7.57 ncf('1.1.2.2.1',plain,[-(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])] = ordered_pair(95 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]], 96 ^ [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]])), 92 : in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(173 ^ [], 174 ^ [])), 92 : cartesian_product2(173 ^ [], 174 ^ []) = cartesian_product2(173 ^ [], 174 ^ [])],extension(88 ^ 6,bind([[_43832, _43834, _43836, _44033], [cartesian_product2(173 ^ [], 174 ^ []), 174 ^ [], 173 ^ [], 158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]]))).
% 7.55/7.57 ncf('1.1.2.2.1.1',plain,[-(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(173 ^ [], 174 ^ [])))],extension(166 ^ 9)).
% 7.55/7.57 ncf('1.1.2.2.1.2',plain,[-(cartesian_product2(173 ^ [], 174 ^ []) = cartesian_product2(173 ^ [], 174 ^ [])), 162 : -(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ []))), 166 : -(in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ [])))],extension(157 ^ 7,bind([[_46696, _46698], [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])]]))).
% 7.55/7.57 ncf('1.1.2.2.1.2.1',plain,[in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ []))],extension(164 ^ 10)).
% 7.55/7.57 ncf('1.1.2.2.1.2.2',plain,[in(158 ^ [cartesian_product2(173 ^ [], 174 ^ []), cartesian_product2(173 ^ [], 174 ^ [])], cartesian_product2(173 ^ [], 174 ^ []))],extension(168 ^ 10)).
% 7.55/7.57 ncf('1.1.2.3',plain,[-(cartesian_product2(171 ^ [], 172 ^ []) = cartesian_product2(171 ^ [], 172 ^ [])), 162 : -(in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))), 166 : -(in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ [])))],extension(157 ^ 5,bind([[_46696, _46698], [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])]]))).
% 7.55/7.57 ncf('1.1.2.3.1',plain,[in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))],extension(164 ^ 8)).
% 7.55/7.57 ncf('1.1.2.3.2',plain,[in(158 ^ [cartesian_product2(171 ^ [], 172 ^ []), cartesian_product2(171 ^ [], 172 ^ [])], cartesian_product2(171 ^ [], 172 ^ []))],extension(168 ^ 8)).
% 7.55/7.57 %-----------------------------------------------------
% 7.55/7.57 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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