TSTP Solution File: SEU217+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU217+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n026.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 12:02:43 EDT 2023
% Result : Theorem 0.33s 1.39s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU217+3 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n026.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 13:31:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.33/1.39
% 0.33/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.39 %-----------------------------------------------------
% 0.33/1.39 ncf(matrix, plain, [(336 ^ _48203) ^ [] : [-(in(334 ^ [], 333 ^ []))], (338 ^ _48203) ^ [] : [apply(identity_relation(333 ^ []), 334 ^ []) = 334 ^ []], (102 ^ _48203) ^ [_51481, _51483] : [_51483 = _51481, -(powerset(_51483) = powerset(_51481))], (108 ^ _48203) ^ [_51699, _51701] : [_51701 = _51699, -(relation_dom(_51701) = relation_dom(_51699))], (124 ^ _48203) ^ [_52256, _52258] : [_52258 = _52256, -(identity_relation(_52258) = identity_relation(_52256))], (114 ^ _48203) ^ [_51945, _51947, _51949, _51951] : [-(apply(_51951, _51947) = apply(_51949, _51945)), _51951 = _51949, _51947 = _51945], (2 ^ _48203) ^ [_48347] : [-(_48347 = _48347)], (4 ^ _48203) ^ [_48454, _48456] : [_48456 = _48454, -(_48454 = _48456)], (10 ^ _48203) ^ [_48658, _48660, _48662] : [-(_48662 = _48658), _48662 = _48660, _48660 = _48658], (20 ^ _48203) ^ [_48999, _49001, _49003, _49005] : [-(subset(_49003, _48999)), subset(_49005, _49001), _49005 = _49003, _49001 = _48999], (34 ^ _48203) ^ [_49415, _49417] : [-(relation_empty_yielding(_49415)), _49417 = _49415, relation_empty_yielding(_49417)], (44 ^ _48203) ^ [_49738, _49740, _49742, _49744] : [-(element(_49742, _49738)), element(_49744, _49740), _49744 = _49742, _49740 = _49738], (58 ^ _48203) ^ [_50154, _50156] : [-(empty(_50154)), _50156 = _50154, empty(_50156)], (68 ^ _48203) ^ [_50449, _50451] : [-(relation(_50449)), _50451 = _50449, relation(_50451)], (78 ^ _48203) ^ [_50744, _50746] : [-(function(_50744)), _50746 = _50744, function(_50746)], (88 ^ _48203) ^ [_51047, _51049, _51051, _51053] : [-(in(_51051, _51047)), in(_51053, _51049), _51053 = _51051, _51049 = _51047], (130 ^ _48203) ^ [_52473, _52475] : [-(subset(_52475, _52475))], (132 ^ _48203) ^ [] : [-(empty(empty_set))], (134 ^ _48203) ^ [] : [-(relation(empty_set))], (136 ^ _48203) ^ [] : [-(empty(empty_set))], (138 ^ _48203) ^ [] : [-(relation(empty_set))], (140 ^ _48203) ^ [] : [-(relation_empty_yielding(empty_set))], (142 ^ _48203) ^ [] : [-(empty(empty_set))], (145 ^ _48203) ^ [_52916] : [-(element(143 ^ [_52916], _52916))], (147 ^ _48203) ^ [_53014] : [empty(_53014), -(function(_53014))], (153 ^ _48203) ^ [_53184] : [empty(powerset(_53184))], (155 ^ _48203) ^ [_53278] : [empty(relation_dom(_53278)), -(empty(_53278)), relation(_53278)], (165 ^ _48203) ^ [_53555] : [empty(_53555), 168 ^ _48203 : [(169 ^ _48203) ^ [] : [-(empty(relation_dom(_53555)))], (171 ^ _48203) ^ [] : [-(relation(relation_dom(_53555)))]]], (173 ^ _48203) ^ [_53820] : [empty(_53820), -(relation(_53820))], (179 ^ _48203) ^ [_54020, _54022] : [element(_54022, _54020), -(empty(_54020)), -(in(_54022, _54020))], (189 ^ _48203) ^ [_54347, _54349] : [element(_54349, powerset(_54347)), -(subset(_54349, _54347))], (195 ^ _48203) ^ [_54513, _54515] : [subset(_54515, _54513), -(element(_54515, powerset(_54513)))], (201 ^ _48203) ^ [_54743, _54745, _54747] : [-(element(_54747, _54743)), in(_54747, _54745), element(_54745, powerset(_54743))], (211 ^ _48203) ^ [_55070, _55072, _55074] : [in(_55074, _55072), element(_55072, powerset(_55070)), empty(_55070)], (221 ^ _48203) ^ [_55366] : [empty(_55366), -(_55366 = empty_set)], (227 ^ _48203) ^ [_55568, _55570] : [empty(_55570), -(_55570 = _55568), empty(_55568)], (237 ^ _48203) ^ [_55865, _55867] : [in(_55867, _55865), in(_55865, _55867)], (243 ^ _48203) ^ [_56047] : [-(relation(identity_relation(_56047)))], (245 ^ _48203) ^ [_56146] : [-(relation(identity_relation(_56146)))], (247 ^ _48203) ^ [_56191] : [-(function(identity_relation(_56191)))], (250 ^ _48203) ^ [] : [-(relation(248 ^ []))], (252 ^ _48203) ^ [] : [-(function(248 ^ []))], (254 ^ _48203) ^ [_56436] : [-(empty(_56436)), 258 ^ _48203 : [(259 ^ _48203) ^ [] : [-(element(257 ^ [_56436], powerset(_56436)))], (261 ^ _48203) ^ [] : [empty(257 ^ [_56436])]]], (264 ^ _48203) ^ [_56819] : [-(element(262 ^ [_56819], powerset(_56819)))], (266 ^ _48203) ^ [_56870] : [-(empty(262 ^ [_56870]))], (269 ^ _48203) ^ [] : [-(empty(267 ^ []))], (271 ^ _48203) ^ [] : [-(relation(267 ^ []))], (274 ^ _48203) ^ [] : [empty(272 ^ [])], (276 ^ _48203) ^ [] : [-(relation(272 ^ []))], (279 ^ _48203) ^ [] : [-(relation(277 ^ []))], (281 ^ _48203) ^ [] : [-(relation_empty_yielding(277 ^ []))], (284 ^ _48203) ^ [] : [-(empty(282 ^ []))], (287 ^ _48203) ^ [] : [empty(285 ^ [])], (289 ^ _48203) ^ [_57610, _57612] : [in(_57612, _57610), -(element(_57612, _57610))], (295 ^ _48203) ^ [_57820, _57822] : [in(_57822, _57820), empty(_57820)], (301 ^ _48203) ^ [_58007, _58009] : [relation(_58007), function(_58007), 308 ^ _48203 : [(309 ^ _48203) ^ [] : [_58007 = identity_relation(_58009), 312 ^ _48203 : [(313 ^ _48203) ^ [] : [-(relation_dom(_58007) = _58009)], (315 ^ _48203) ^ [_58426] : [in(_58426, _58009), -(apply(_58007, _58426) = _58426)]]], (321 ^ _48203) ^ [] : [-(_58007 = identity_relation(_58009)), relation_dom(_58007) = _58009, 327 ^ _48203 : [(328 ^ _48203) ^ [] : [-(in(326 ^ [_58007, _58009], _58009))], (330 ^ _48203) ^ [] : [apply(_58007, 326 ^ [_58007, _58009]) = 326 ^ [_58007, _58009]]]]]]], input).
% 0.33/1.39 ncf('1',plain,[apply(identity_relation(333 ^ []), 334 ^ []) = 334 ^ []],start(338 ^ 0)).
% 0.33/1.39 ncf('1.1',plain,[-(apply(identity_relation(333 ^ []), 334 ^ []) = 334 ^ []), 315 : in(334 ^ [], 333 ^ []), 315 : identity_relation(333 ^ []) = identity_relation(333 ^ []), 309 : relation(identity_relation(333 ^ [])), 309 : function(identity_relation(333 ^ []))],extension(301 ^ 1,bind([[_58007, _58009, _58426], [identity_relation(333 ^ []), 333 ^ [], 334 ^ []]]))).
% 0.33/1.39 ncf('1.1.1',plain,[-(in(334 ^ [], 333 ^ []))],extension(336 ^ 6)).
% 0.33/1.39 ncf('1.1.2',plain,[-(identity_relation(333 ^ []) = identity_relation(333 ^ []))],extension(2 ^ 4,bind([[_48347], [identity_relation(333 ^ [])]]))).
% 0.33/1.39 ncf('1.1.3',plain,[-(relation(identity_relation(333 ^ [])))],extension(243 ^ 2,bind([[_56047], [333 ^ []]]))).
% 0.33/1.39 ncf('1.1.4',plain,[-(function(identity_relation(333 ^ [])))],extension(247 ^ 2,bind([[_56191], [333 ^ []]]))).
% 0.33/1.39 %-----------------------------------------------------
% 0.33/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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