TSTP Solution File: SEU245+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU245+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 12:02:51 EDT 2023
% Result : Theorem 4.02s 4.46s
% Output : Proof 4.02s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU245+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n001.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 14:11:04 EDT 2023
% 0.12/0.33 % CPUTime :
% 4.02/4.46
% 4.02/4.46 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 4.02/4.46 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.02/4.46 %-----------------------------------------------------
% 4.02/4.46 ncf(matrix, plain, [(304 ^ _45253) ^ [] : [-(relation(302 ^ []))], (306 ^ _45253) ^ [] : [315 ^ _45253 : [(316 ^ _45253) ^ [] : [-(in(300 ^ [], 302 ^ []))], (318 ^ _45253) ^ [] : [-(in(300 ^ [], cartesian_product2(301 ^ [], 301 ^ [])))], (320 ^ _45253) ^ [] : [in(300 ^ [], relation_restriction(302 ^ [], 301 ^ []))]], 307 ^ _45253 : [(308 ^ _45253) ^ [] : [-(in(300 ^ [], relation_restriction(302 ^ [], 301 ^ [])))], (310 ^ _45253) ^ [] : [in(300 ^ [], 302 ^ []), in(300 ^ [], cartesian_product2(301 ^ [], 301 ^ []))]]], (88 ^ _45253) ^ [_48113, _48115, _48117, _48119] : [-(set_intersection2(_48119, _48115) = set_intersection2(_48117, _48113)), _48119 = _48117, _48115 = _48113], (98 ^ _45253) ^ [_48472, _48474, _48476, _48478] : [-(relation_restriction(_48478, _48474) = relation_restriction(_48476, _48472)), _48478 = _48476, _48474 = _48472], (108 ^ _45253) ^ [_48811, _48813, _48815, _48817] : [-(cartesian_product2(_48817, _48813) = cartesian_product2(_48815, _48811)), _48817 = _48815, _48813 = _48811], (2 ^ _45253) ^ [_45397] : [-(_45397 = _45397)], (4 ^ _45253) ^ [_45504, _45506] : [_45506 = _45504, -(_45504 = _45506)], (10 ^ _45253) ^ [_45708, _45710, _45712] : [-(_45712 = _45708), _45712 = _45710, _45710 = _45708], (20 ^ _45253) ^ [_46021, _46023] : [-(one_to_one(_46021)), _46023 = _46021, one_to_one(_46023)], (30 ^ _45253) ^ [_46316, _46318] : [-(function(_46316)), _46318 = _46316, function(_46318)], (40 ^ _45253) ^ [_46639, _46641, _46643, _46645] : [-(element(_46643, _46639)), element(_46645, _46641), _46645 = _46643, _46641 = _46639], (54 ^ _45253) ^ [_47055, _47057] : [-(empty(_47055)), _47057 = _47055, empty(_47057)], (64 ^ _45253) ^ [_47350, _47352] : [-(relation(_47350)), _47352 = _47350, relation(_47352)], (74 ^ _45253) ^ [_47653, _47655, _47657, _47659] : [-(in(_47657, _47653)), in(_47659, _47655), _47659 = _47657, _47655 = _47653], (119 ^ _45253) ^ [] : [-(relation(117 ^ []))], (121 ^ _45253) ^ [] : [-(function(117 ^ []))], (123 ^ _45253) ^ [] : [-(one_to_one(117 ^ []))], (125 ^ _45253) ^ [] : [true___, -(true___)], (132 ^ _45253) ^ [] : [-(relation(130 ^ []))], (134 ^ _45253) ^ [] : [-(function(130 ^ []))], (137 ^ _45253) ^ [] : [-(relation(135 ^ []))], (139 ^ _45253) ^ [] : [-(empty(135 ^ []))], (141 ^ _45253) ^ [] : [-(function(135 ^ []))], (143 ^ _45253) ^ [_49824] : [154 ^ _45253 : [(155 ^ _45253) ^ [] : [-(relation(_49824))], (157 ^ _45253) ^ [] : [-(function(_49824))], (159 ^ _45253) ^ [] : [-(one_to_one(_49824))]], relation(_49824), empty(_49824), function(_49824)], (161 ^ _45253) ^ [] : [-(empty(empty_set))], (163 ^ _45253) ^ [_50355] : [-(set_intersection2(_50355, empty_set) = empty_set)], (166 ^ _45253) ^ [_50475] : [-(element(164 ^ [_50475], _50475))], (168 ^ _45253) ^ [] : [true___, -(true___)], (174 ^ _45253) ^ [_50692] : [empty(_50692), -(function(_50692))], (181 ^ _45253) ^ [] : [-(empty(179 ^ []))], (184 ^ _45253) ^ [] : [empty(182 ^ [])], (186 ^ _45253) ^ [_51071, _51073] : [element(_51073, _51071), -(empty(_51071)), -(in(_51073, _51071))], (196 ^ _45253) ^ [_51355] : [empty(_51355), -(_51355 = empty_set)], (202 ^ _45253) ^ [_51557, _51559] : [empty(_51559), -(_51559 = _51557), empty(_51557)], (212 ^ _45253) ^ [_51839, _51841] : [-(set_intersection2(_51841, _51839) = set_intersection2(_51839, _51841))], (214 ^ _45253) ^ [_51939, _51941] : [-(set_intersection2(_51941, _51941) = _51941)], (216 ^ _45253) ^ [_52051, _52053] : [in(_52053, _52051), in(_52051, _52053)], (222 ^ _45253) ^ [_52262, _52264] : [relation(_52264), -(relation(relation_restriction(_52264, _52262)))], (228 ^ _45253) ^ [] : [true___, -(true___)], (234 ^ _45253) ^ [] : [true___, -(true___)], (240 ^ _45253) ^ [_52712, _52714] : [in(_52714, _52712), -(element(_52714, _52712))], (246 ^ _45253) ^ [_52922, _52924] : [in(_52924, _52922), empty(_52922)], (252 ^ _45253) ^ [_53115] : [relation(_53115), 255 ^ _45253 : [(256 ^ _45253) ^ [_53234] : [-(relation_restriction(_53115, _53234) = set_intersection2(_53115, cartesian_product2(_53234, _53234)))]]], (280 ^ _45253) ^ [_54105, _54107, _54109] : [-(_54105 = set_intersection2(_54109, _54107)), 292 ^ _45253 : [(293 ^ _45253) ^ [] : [-(in(281 ^ [_54105, _54107, _54109], _54109))], (295 ^ _45253) ^ [] : [-(in(281 ^ [_54105, _54107, _54109], _54107))], (297 ^ _45253) ^ [] : [in(281 ^ [_54105, _54107, _54109], _54105)]], 284 ^ _45253 : [(285 ^ _45253) ^ [] : [-(in(281 ^ [_54105, _54107, _54109], _54105))], (287 ^ _45253) ^ [] : [in(281 ^ [_54105, _54107, _54109], _54109), in(281 ^ [_54105, _54107, _54109], _54107)]]], (258 ^ _45253) ^ [_53380, _53382, _53384] : [_53380 = set_intersection2(_53384, _53382), 261 ^ _45253 : [(262 ^ _45253) ^ [_53562] : [in(_53562, _53380), 265 ^ _45253 : [(266 ^ _45253) ^ [] : [-(in(_53562, _53384))], (268 ^ _45253) ^ [] : [-(in(_53562, _53382))]]], (270 ^ _45253) ^ [_53821] : [-(in(_53821, _53380)), in(_53821, _53384), in(_53821, _53382)]]]], input).
% 4.02/4.46 ncf('1',plain,[320 : in(300 ^ [], relation_restriction(302 ^ [], 301 ^ [])), 310 : in(300 ^ [], 302 ^ []), 310 : in(300 ^ [], cartesian_product2(301 ^ [], 301 ^ []))],start(306 ^ 0)).
% 4.02/4.46 ncf('1.1',plain,[-(in(300 ^ [], relation_restriction(302 ^ [], 301 ^ []))), 270 : in(300 ^ [], 302 ^ []), 270 : in(300 ^ [], cartesian_product2(301 ^ [], 301 ^ [])), 270 : relation_restriction(302 ^ [], 301 ^ []) = set_intersection2(302 ^ [], cartesian_product2(301 ^ [], 301 ^ []))],extension(258 ^ 3,bind([[_53380, _53382, _53384, _53821], [relation_restriction(302 ^ [], 301 ^ []), cartesian_product2(301 ^ [], 301 ^ []), 302 ^ [], 300 ^ []]]))).
% 4.02/4.46 ncf('1.1.1',plain,[-(in(300 ^ [], 302 ^ []))],extension(316 ^ 6)).
% 4.02/4.46 ncf('1.1.2',plain,[-(in(300 ^ [], cartesian_product2(301 ^ [], 301 ^ [])))],extension(318 ^ 6)).
% 4.02/4.46 ncf('1.1.3',plain,[-(relation_restriction(302 ^ [], 301 ^ []) = set_intersection2(302 ^ [], cartesian_product2(301 ^ [], 301 ^ []))), relation(302 ^ [])],extension(252 ^ 4,bind([[_53115, _53234], [302 ^ [], 301 ^ []]]))).
% 4.02/4.46 ncf('1.1.3.1',plain,[-(relation(302 ^ []))],extension(304 ^ 5)).
% 4.02/4.46 ncf('1.2',plain,[-(in(300 ^ [], 302 ^ [])), 262 : in(300 ^ [], relation_restriction(302 ^ [], 301 ^ [])), 262 : relation_restriction(302 ^ [], 301 ^ []) = set_intersection2(302 ^ [], cartesian_product2(301 ^ [], 301 ^ []))],extension(258 ^ 3,bind([[_53380, _53382, _53384, _53562], [relation_restriction(302 ^ [], 301 ^ []), cartesian_product2(301 ^ [], 301 ^ []), 302 ^ [], 300 ^ []]]))).
% 4.02/4.46 ncf('1.2.1',plain,[-(in(300 ^ [], relation_restriction(302 ^ [], 301 ^ [])))],extension(308 ^ 6)).
% 4.02/4.46 ncf('1.2.2',plain,[-(relation_restriction(302 ^ [], 301 ^ []) = set_intersection2(302 ^ [], cartesian_product2(301 ^ [], 301 ^ []))), relation(302 ^ [])],extension(252 ^ 4,bind([[_53115, _53234], [302 ^ [], 301 ^ []]]))).
% 4.02/4.46 ncf('1.2.2.1',plain,[-(relation(302 ^ []))],extension(304 ^ 5)).
% 4.02/4.46 ncf('1.3',plain,[-(in(300 ^ [], cartesian_product2(301 ^ [], 301 ^ []))), 262 : in(300 ^ [], relation_restriction(302 ^ [], 301 ^ [])), 262 : relation_restriction(302 ^ [], 301 ^ []) = set_intersection2(302 ^ [], cartesian_product2(301 ^ [], 301 ^ []))],extension(258 ^ 3,bind([[_53380, _53382, _53384, _53562], [relation_restriction(302 ^ [], 301 ^ []), cartesian_product2(301 ^ [], 301 ^ []), 302 ^ [], 300 ^ []]]))).
% 4.02/4.46 ncf('1.3.1',plain,[-(in(300 ^ [], relation_restriction(302 ^ [], 301 ^ [])))],extension(308 ^ 6)).
% 4.02/4.46 ncf('1.3.2',plain,[-(relation_restriction(302 ^ [], 301 ^ []) = set_intersection2(302 ^ [], cartesian_product2(301 ^ [], 301 ^ []))), relation(302 ^ [])],extension(252 ^ 4,bind([[_53115, _53234], [302 ^ [], 301 ^ []]]))).
% 4.02/4.46 ncf('1.3.2.1',plain,[-(relation(302 ^ []))],extension(304 ^ 5)).
% 4.02/4.46 %-----------------------------------------------------
% 4.02/4.46 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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