TSTP Solution File: SEU244+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU244+1 : TPTP v8.1.2. Released v3.3.0.
% 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 12:02:51 EDT 2023
% Result : Theorem 0.34s 1.40s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU244+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 18 13:54:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.34/1.40
% 0.34/1.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.40 %-----------------------------------------------------
% 0.34/1.40 ncf(matrix, plain, [(397 ^ _53584) ^ [] : [-(relation(395 ^ []))], (399 ^ _53584) ^ [] : [400 ^ _53584 : [(401 ^ _53584) ^ [] : [-(well_orders(395 ^ [], relation_field(395 ^ [])))], (403 ^ _53584) ^ [] : [well_ordering(395 ^ [])]], 404 ^ _53584 : [(405 ^ _53584) ^ [] : [-(well_ordering(395 ^ []))], (407 ^ _53584) ^ [] : [well_orders(395 ^ [], relation_field(395 ^ []))]]], (202 ^ _53584) ^ [_60083, _60085] : [-(set_union2(_60085, _60083) = set_union2(_60083, _60085))], (204 ^ _53584) ^ [_60184] : [relation(_60184), 207 ^ _53584 : [(208 ^ _53584) ^ [] : [antisymmetric(_60184), -(is_antisymmetric_in(_60184, relation_field(_60184)))], (214 ^ _53584) ^ [] : [is_antisymmetric_in(_60184, relation_field(_60184)), -(antisymmetric(_60184))]]], (220 ^ _53584) ^ [_60615] : [relation(_60615), 223 ^ _53584 : [(224 ^ _53584) ^ [] : [connected(_60615), -(is_connected_in(_60615, relation_field(_60615)))], (230 ^ _53584) ^ [] : [is_connected_in(_60615, relation_field(_60615)), -(connected(_60615))]]], (236 ^ _53584) ^ [_61046] : [relation(_61046), 239 ^ _53584 : [(240 ^ _53584) ^ [] : [transitive(_61046), -(is_transitive_in(_61046, relation_field(_61046)))], (246 ^ _53584) ^ [] : [is_transitive_in(_61046, relation_field(_61046)), -(transitive(_61046))]]], (252 ^ _53584) ^ [_61477] : [relation(_61477), 255 ^ _53584 : [(256 ^ _53584) ^ [] : [well_ordering(_61477), 259 ^ _53584 : [(260 ^ _53584) ^ [] : [-(reflexive(_61477))], (262 ^ _53584) ^ [] : [-(transitive(_61477))], (264 ^ _53584) ^ [] : [-(antisymmetric(_61477))], (266 ^ _53584) ^ [] : [-(connected(_61477))], (268 ^ _53584) ^ [] : [-(well_founded_relation(_61477))]]], (270 ^ _53584) ^ [] : [-(well_ordering(_61477)), reflexive(_61477), transitive(_61477), antisymmetric(_61477), connected(_61477), well_founded_relation(_61477)]]], (292 ^ _53584) ^ [_62492] : [relation(_62492), 295 ^ _53584 : [(296 ^ _53584) ^ [_62676] : [well_orders(_62492, _62676), 299 ^ _53584 : [(300 ^ _53584) ^ [] : [-(is_reflexive_in(_62492, _62676))], (302 ^ _53584) ^ [] : [-(is_transitive_in(_62492, _62676))], (304 ^ _53584) ^ [] : [-(is_antisymmetric_in(_62492, _62676))], (306 ^ _53584) ^ [] : [-(is_connected_in(_62492, _62676))], (308 ^ _53584) ^ [] : [-(is_well_founded_in(_62492, _62676))]]], (310 ^ _53584) ^ [_63137] : [-(well_orders(_62492, _63137)), is_reflexive_in(_62492, _63137), is_transitive_in(_62492, _63137), is_antisymmetric_in(_62492, _63137), is_connected_in(_62492, _63137), is_well_founded_in(_62492, _63137)]]], (332 ^ _53584) ^ [_63698] : [relation(_63698), -(relation_field(_63698) = set_union2(relation_dom(_63698), relation_rng(_63698)))], (338 ^ _53584) ^ [_63904] : [relation(_63904), 341 ^ _53584 : [(342 ^ _53584) ^ [] : [reflexive(_63904), -(is_reflexive_in(_63904, relation_field(_63904)))], (348 ^ _53584) ^ [] : [is_reflexive_in(_63904, relation_field(_63904)), -(reflexive(_63904))]]], (354 ^ _53584) ^ [] : [true___, -(true___)], (360 ^ _53584) ^ [] : [true___, -(true___)], (366 ^ _53584) ^ [] : [true___, -(true___)], (372 ^ _53584) ^ [] : [true___, -(true___)], (378 ^ _53584) ^ [_64810, _64812] : [-(set_union2(_64812, _64812) = _64812)], (380 ^ _53584) ^ [_64888] : [relation(_64888), 383 ^ _53584 : [(384 ^ _53584) ^ [] : [well_founded_relation(_64888), -(is_well_founded_in(_64888, relation_field(_64888)))], (390 ^ _53584) ^ [] : [is_well_founded_in(_64888, relation_field(_64888)), -(well_founded_relation(_64888))]]], (174 ^ _53584) ^ [_59091, _59093] : [_59093 = _59091, -(relation_dom(_59093) = relation_dom(_59091))], (180 ^ _53584) ^ [_59309, _59311] : [_59311 = _59309, -(relation_rng(_59311) = relation_rng(_59309))], (196 ^ _53584) ^ [_59866, _59868] : [_59868 = _59866, -(relation_field(_59868) = relation_field(_59866))], (186 ^ _53584) ^ [_59555, _59557, _59559, _59561] : [-(set_union2(_59561, _59557) = set_union2(_59559, _59555)), _59561 = _59559, _59557 = _59555], (2 ^ _53584) ^ [_53728] : [-(_53728 = _53728)], (4 ^ _53584) ^ [_53835, _53837] : [_53837 = _53835, -(_53835 = _53837)], (10 ^ _53584) ^ [_54039, _54041, _54043] : [-(_54043 = _54039), _54043 = _54041, _54041 = _54039], (20 ^ _53584) ^ [_54352, _54354] : [-(transitive(_54352)), _54354 = _54352, transitive(_54354)], (30 ^ _53584) ^ [_54647, _54649] : [-(antisymmetric(_54647)), _54649 = _54647, antisymmetric(_54649)], (40 ^ _53584) ^ [_54942, _54944] : [-(connected(_54942)), _54944 = _54942, connected(_54944)], (50 ^ _53584) ^ [_55265, _55267, _55269, _55271] : [-(is_transitive_in(_55269, _55265)), is_transitive_in(_55271, _55267), _55271 = _55269, _55267 = _55265], (64 ^ _53584) ^ [_55709, _55711, _55713, _55715] : [-(is_antisymmetric_in(_55713, _55709)), is_antisymmetric_in(_55715, _55711), _55715 = _55713, _55711 = _55709], (78 ^ _53584) ^ [_56153, _56155, _56157, _56159] : [-(is_connected_in(_56157, _56153)), is_connected_in(_56159, _56155), _56159 = _56157, _56155 = _56153], (92 ^ _53584) ^ [_56569, _56571] : [-(reflexive(_56569)), _56571 = _56569, reflexive(_56571)], (102 ^ _53584) ^ [_56892, _56894, _56896, _56898] : [-(is_reflexive_in(_56896, _56892)), is_reflexive_in(_56898, _56894), _56898 = _56896, _56894 = _56892], (116 ^ _53584) ^ [_57308, _57310] : [-(well_founded_relation(_57308)), _57310 = _57308, well_founded_relation(_57310)], (126 ^ _53584) ^ [_57631, _57633, _57635, _57637] : [-(is_well_founded_in(_57635, _57631)), is_well_founded_in(_57637, _57633), _57637 = _57635, _57633 = _57631], (140 ^ _53584) ^ [_58047, _58049] : [-(relation(_58047)), _58049 = _58047, relation(_58049)], (164 ^ _53584) ^ [_58766, _58768] : [-(well_ordering(_58766)), _58768 = _58766, well_ordering(_58768)], (150 ^ _53584) ^ [_58370, _58372, _58374, _58376] : [-(well_orders(_58374, _58370)), well_orders(_58376, _58372), _58376 = _58374, _58372 = _58370]], input).
% 0.34/1.40 ncf('1',plain,[403 : well_ordering(395 ^ []), 407 : well_orders(395 ^ [], relation_field(395 ^ []))],start(399 ^ 0)).
% 0.34/1.40 ncf('1.1',plain,[-(well_ordering(395 ^ [])), 270 : reflexive(395 ^ []), 270 : transitive(395 ^ []), 270 : antisymmetric(395 ^ []), 270 : connected(395 ^ []), 270 : well_founded_relation(395 ^ []), 270 : relation(395 ^ [])],extension(252 ^ 3,bind([[_61477], [395 ^ []]]))).
% 0.34/1.40 ncf('1.1.1',plain,[-(reflexive(395 ^ [])), 348 : is_reflexive_in(395 ^ [], relation_field(395 ^ [])), 348 : relation(395 ^ [])],extension(338 ^ 6,bind([[_63904], [395 ^ []]]))).
% 0.34/1.40 ncf('1.1.1.1',plain,[-(is_reflexive_in(395 ^ [], relation_field(395 ^ []))), 296 : well_orders(395 ^ [], relation_field(395 ^ [])), 296 : relation(395 ^ [])],extension(292 ^ 9,bind([[_62492, _62676], [395 ^ [], relation_field(395 ^ [])]]))).
% 0.34/1.40 ncf('1.1.1.1.1',plain,[-(well_orders(395 ^ [], relation_field(395 ^ [])))],extension(401 ^ 12)).
% 0.34/1.40 ncf('1.1.1.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 10)).
% 0.34/1.40 ncf('1.1.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 7)).
% 0.34/1.40 ncf('1.1.2',plain,[-(transitive(395 ^ [])), 246 : is_transitive_in(395 ^ [], relation_field(395 ^ [])), 246 : relation(395 ^ [])],extension(236 ^ 6,bind([[_61046], [395 ^ []]]))).
% 0.34/1.40 ncf('1.1.2.1',plain,[-(is_transitive_in(395 ^ [], relation_field(395 ^ []))), 296 : well_orders(395 ^ [], relation_field(395 ^ [])), 296 : relation(395 ^ [])],extension(292 ^ 9,bind([[_62492, _62676], [395 ^ [], relation_field(395 ^ [])]]))).
% 0.34/1.40 ncf('1.1.2.1.1',plain,[-(well_orders(395 ^ [], relation_field(395 ^ [])))],extension(401 ^ 12)).
% 0.34/1.40 ncf('1.1.2.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 10)).
% 0.34/1.40 ncf('1.1.2.2',plain,[-(relation(395 ^ []))],extension(397 ^ 7)).
% 0.34/1.40 ncf('1.1.3',plain,[-(antisymmetric(395 ^ [])), 214 : is_antisymmetric_in(395 ^ [], relation_field(395 ^ [])), 214 : relation(395 ^ [])],extension(204 ^ 6,bind([[_60184], [395 ^ []]]))).
% 0.34/1.40 ncf('1.1.3.1',plain,[-(is_antisymmetric_in(395 ^ [], relation_field(395 ^ []))), 296 : well_orders(395 ^ [], relation_field(395 ^ [])), 296 : relation(395 ^ [])],extension(292 ^ 9,bind([[_62492, _62676], [395 ^ [], relation_field(395 ^ [])]]))).
% 0.34/1.40 ncf('1.1.3.1.1',plain,[-(well_orders(395 ^ [], relation_field(395 ^ [])))],extension(401 ^ 12)).
% 0.34/1.40 ncf('1.1.3.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 10)).
% 0.34/1.40 ncf('1.1.3.2',plain,[-(relation(395 ^ []))],extension(397 ^ 7)).
% 0.34/1.40 ncf('1.1.4',plain,[-(connected(395 ^ [])), 230 : is_connected_in(395 ^ [], relation_field(395 ^ [])), 230 : relation(395 ^ [])],extension(220 ^ 6,bind([[_60615], [395 ^ []]]))).
% 0.34/1.40 ncf('1.1.4.1',plain,[-(is_connected_in(395 ^ [], relation_field(395 ^ []))), 296 : well_orders(395 ^ [], relation_field(395 ^ [])), 296 : relation(395 ^ [])],extension(292 ^ 9,bind([[_62492, _62676], [395 ^ [], relation_field(395 ^ [])]]))).
% 0.34/1.40 ncf('1.1.4.1.1',plain,[-(well_orders(395 ^ [], relation_field(395 ^ [])))],extension(401 ^ 12)).
% 0.34/1.40 ncf('1.1.4.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 10)).
% 0.34/1.40 ncf('1.1.4.2',plain,[-(relation(395 ^ []))],extension(397 ^ 7)).
% 0.34/1.40 ncf('1.1.5',plain,[-(well_founded_relation(395 ^ [])), 390 : is_well_founded_in(395 ^ [], relation_field(395 ^ [])), 390 : relation(395 ^ [])],extension(380 ^ 6,bind([[_64888], [395 ^ []]]))).
% 0.34/1.40 ncf('1.1.5.1',plain,[-(is_well_founded_in(395 ^ [], relation_field(395 ^ []))), 296 : well_orders(395 ^ [], relation_field(395 ^ [])), 296 : relation(395 ^ [])],extension(292 ^ 9,bind([[_62492, _62676], [395 ^ [], relation_field(395 ^ [])]]))).
% 0.34/1.40 ncf('1.1.5.1.1',plain,[-(well_orders(395 ^ [], relation_field(395 ^ [])))],extension(401 ^ 12)).
% 0.34/1.40 ncf('1.1.5.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 10)).
% 0.34/1.40 ncf('1.1.5.2',plain,[-(relation(395 ^ []))],extension(397 ^ 7)).
% 0.34/1.40 ncf('1.1.6',plain,[-(relation(395 ^ []))],extension(397 ^ 4)).
% 0.34/1.40 ncf('1.2',plain,[-(well_orders(395 ^ [], relation_field(395 ^ []))), 310 : is_reflexive_in(395 ^ [], relation_field(395 ^ [])), 310 : is_transitive_in(395 ^ [], relation_field(395 ^ [])), 310 : is_antisymmetric_in(395 ^ [], relation_field(395 ^ [])), 310 : is_connected_in(395 ^ [], relation_field(395 ^ [])), 310 : is_well_founded_in(395 ^ [], relation_field(395 ^ [])), 310 : relation(395 ^ [])],extension(292 ^ 3,bind([[_62492, _63137], [395 ^ [], relation_field(395 ^ [])]]))).
% 0.34/1.40 ncf('1.2.1',plain,[-(is_reflexive_in(395 ^ [], relation_field(395 ^ []))), 342 : reflexive(395 ^ []), 342 : relation(395 ^ [])],extension(338 ^ 6,bind([[_63904], [395 ^ []]]))).
% 0.34/1.40 ncf('1.2.1.1',plain,[-(reflexive(395 ^ [])), 256 : well_ordering(395 ^ []), 256 : relation(395 ^ [])],extension(252 ^ 9,bind([[_61477], [395 ^ []]]))).
% 0.34/1.40 ncf('1.2.1.1.1',plain,[-(well_ordering(395 ^ []))],extension(405 ^ 12)).
% 0.34/1.40 ncf('1.2.1.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 10)).
% 0.34/1.40 ncf('1.2.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 7)).
% 0.34/1.40 ncf('1.2.2',plain,[-(is_transitive_in(395 ^ [], relation_field(395 ^ []))), 240 : transitive(395 ^ []), 240 : relation(395 ^ [])],extension(236 ^ 6,bind([[_61046], [395 ^ []]]))).
% 0.34/1.40 ncf('1.2.2.1',plain,[-(transitive(395 ^ [])), 256 : well_ordering(395 ^ []), 256 : relation(395 ^ [])],extension(252 ^ 9,bind([[_61477], [395 ^ []]]))).
% 0.34/1.40 ncf('1.2.2.1.1',plain,[-(well_ordering(395 ^ []))],extension(405 ^ 12)).
% 0.34/1.40 ncf('1.2.2.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 10)).
% 0.34/1.40 ncf('1.2.2.2',plain,[-(relation(395 ^ []))],extension(397 ^ 7)).
% 0.34/1.40 ncf('1.2.3',plain,[-(is_antisymmetric_in(395 ^ [], relation_field(395 ^ []))), 208 : antisymmetric(395 ^ []), 208 : relation(395 ^ [])],extension(204 ^ 6,bind([[_60184], [395 ^ []]]))).
% 0.34/1.40 ncf('1.2.3.1',plain,[-(antisymmetric(395 ^ [])), 256 : well_ordering(395 ^ []), 256 : relation(395 ^ [])],extension(252 ^ 9,bind([[_61477], [395 ^ []]]))).
% 0.34/1.40 ncf('1.2.3.1.1',plain,[-(well_ordering(395 ^ []))],extension(405 ^ 12)).
% 0.34/1.40 ncf('1.2.3.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 10)).
% 0.34/1.40 ncf('1.2.3.2',plain,[-(relation(395 ^ []))],extension(397 ^ 7)).
% 0.34/1.40 ncf('1.2.4',plain,[-(is_connected_in(395 ^ [], relation_field(395 ^ []))), 224 : connected(395 ^ []), 224 : relation(395 ^ [])],extension(220 ^ 6,bind([[_60615], [395 ^ []]]))).
% 0.34/1.40 ncf('1.2.4.1',plain,[-(connected(395 ^ [])), 256 : well_ordering(395 ^ []), 256 : relation(395 ^ [])],extension(252 ^ 9,bind([[_61477], [395 ^ []]]))).
% 0.34/1.40 ncf('1.2.4.1.1',plain,[-(well_ordering(395 ^ []))],extension(405 ^ 12)).
% 0.34/1.40 ncf('1.2.4.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 10)).
% 0.34/1.40 ncf('1.2.4.2',plain,[-(relation(395 ^ []))],extension(397 ^ 7)).
% 0.34/1.40 ncf('1.2.5',plain,[-(is_well_founded_in(395 ^ [], relation_field(395 ^ []))), 384 : well_founded_relation(395 ^ []), 384 : relation(395 ^ [])],extension(380 ^ 6,bind([[_64888], [395 ^ []]]))).
% 0.34/1.40 ncf('1.2.5.1',plain,[-(well_founded_relation(395 ^ [])), 256 : well_ordering(395 ^ []), 256 : relation(395 ^ [])],extension(252 ^ 9,bind([[_61477], [395 ^ []]]))).
% 0.34/1.40 ncf('1.2.5.1.1',plain,[-(well_ordering(395 ^ []))],extension(405 ^ 12)).
% 0.34/1.40 ncf('1.2.5.1.2',plain,[-(relation(395 ^ []))],extension(397 ^ 10)).
% 0.34/1.40 ncf('1.2.5.2',plain,[-(relation(395 ^ []))],extension(397 ^ 7)).
% 0.34/1.40 ncf('1.2.6',plain,[-(relation(395 ^ []))],extension(397 ^ 4)).
% 0.34/1.40 %-----------------------------------------------------
% 0.34/1.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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