TSTP Solution File: SET890+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET890+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.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 11:56:37 EDT 2023
% Result : Theorem 0.44s 1.37s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET890+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n005.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 19:20:08 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.44/1.37
% 0.44/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.44/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/1.37 %-----------------------------------------------------
% 0.44/1.37 ncf(matrix, plain, [(204 ^ _27402) ^ [] : [union(singleton(202 ^ [])) = 202 ^ []], (58 ^ _27402) ^ [_29343, _29345] : [_29345 = _29343, -(union(_29345) = union(_29343))], (64 ^ _27402) ^ [_29541, _29543] : [_29543 = _29541, -(singleton(_29543) = singleton(_29541))], (2 ^ _27402) ^ [_27546] : [-(_27546 = _27546)], (4 ^ _27402) ^ [_27653, _27655] : [_27655 = _27653, -(_27653 = _27655)], (10 ^ _27402) ^ [_27857, _27859, _27861] : [-(_27861 = _27857), _27861 = _27859, _27859 = _27857], (20 ^ _27402) ^ [_28198, _28200, _28202, _28204] : [-(in(_28202, _28198)), in(_28204, _28200), _28204 = _28202, _28200 = _28198], (34 ^ _27402) ^ [_28614, _28616] : [-(empty(_28614)), _28616 = _28614, empty(_28616)], (44 ^ _27402) ^ [_28917, _28919, _28921, _28923] : [-(subset(_28921, _28917)), subset(_28923, _28919), _28923 = _28921, _28919 = _28917], (70 ^ _27402) ^ [_29765, _29767] : [in(_29767, _29765), in(_29765, _29767)], (76 ^ _27402) ^ [_30005, _30007] : [_30007 = _30005, 79 ^ _27402 : [(80 ^ _27402) ^ [] : [-(subset(_30007, _30005))], (82 ^ _27402) ^ [] : [-(subset(_30005, _30007))]]], (84 ^ _27402) ^ [_30242, _30244] : [-(_30244 = _30242), subset(_30244, _30242), subset(_30242, _30244)], (110 ^ _27402) ^ [_31093, _31095] : [-(_31093 = singleton(_31095)), 114 ^ _27402 : [(115 ^ _27402) ^ [] : [-(in(111 ^ [_31093, _31095], _31093))], (117 ^ _27402) ^ [] : [111 ^ [_31093, _31095] = _31095]], 118 ^ _27402 : [(119 ^ _27402) ^ [] : [-(111 ^ [_31093, _31095] = _31095)], (121 ^ _27402) ^ [] : [in(111 ^ [_31093, _31095], _31093)]]], (94 ^ _27402) ^ [_30572, _30574] : [_30572 = singleton(_30574), 97 ^ _27402 : [(98 ^ _27402) ^ [_30742] : [in(_30742, _30572), -(_30742 = _30574)], (104 ^ _27402) ^ [_30914] : [_30914 = _30574, -(in(_30914, _30572))]]], (135 ^ _27402) ^ [_31972, _31974] : [137 ^ _27402 : [(138 ^ _27402) ^ [] : [-(in(136 ^ [_31972, _31974], _31974))], (140 ^ _27402) ^ [] : [in(136 ^ [_31972, _31974], _31972)]], -(subset(_31974, _31972))], (125 ^ _27402) ^ [_31658, _31660] : [subset(_31660, _31658), 128 ^ _27402 : [(129 ^ _27402) ^ [_31795] : [in(_31795, _31660), -(in(_31795, _31658))]]], (196 ^ _27402) ^ [] : [-(empty(194 ^ []))], (199 ^ _27402) ^ [] : [empty(197 ^ [])], (201 ^ _27402) ^ [_34408, _34410] : [-(subset(_34410, _34410))], (189 ^ _27402) ^ [_34050, _34052] : [in(_34052, _34050), -(subset(_34052, union(_34050)))], (167 ^ _27402) ^ [_33203, _33205] : [-(_33203 = union(_33205)), 180 ^ _27402 : [(181 ^ _27402) ^ [] : [-(in(168 ^ [_33203, _33205], 179 ^ [_33203, _33205]))], (183 ^ _27402) ^ [] : [-(in(179 ^ [_33203, _33205], _33205))], (185 ^ _27402) ^ [] : [in(168 ^ [_33203, _33205], _33203)]], 171 ^ _27402 : [(172 ^ _27402) ^ [] : [-(in(168 ^ [_33203, _33205], _33203))], (174 ^ _27402) ^ [_33486] : [in(168 ^ [_33203, _33205], _33486), in(_33486, _33205)]]], (144 ^ _27402) ^ [_32358, _32360] : [_32358 = union(_32360), 147 ^ _27402 : [(148 ^ _27402) ^ [_32539] : [in(_32539, _32358), 152 ^ _27402 : [(153 ^ _27402) ^ [] : [-(in(_32539, 151 ^ [_32358, _32360, _32539]))], (155 ^ _27402) ^ [] : [-(in(151 ^ [_32358, _32360, _32539], _32360))]]], (157 ^ _27402) ^ [_32866] : [-(in(_32866, _32358)), 158 ^ _27402 : [(159 ^ _27402) ^ [_32964] : [in(_32866, _32964), in(_32964, _32360)]]]]]], input).
% 0.44/1.37 ncf('1',plain,[union(singleton(202 ^ [])) = 202 ^ []],start(204 ^ 0)).
% 0.44/1.37 ncf('1.1',plain,[-(union(singleton(202 ^ [])) = 202 ^ []), 202 ^ [] = union(singleton(202 ^ []))],extension(4 ^ 1,bind([[_27653, _27655], [union(singleton(202 ^ [])), 202 ^ []]]))).
% 0.44/1.37 ncf('1.1.1',plain,[-(202 ^ [] = union(singleton(202 ^ []))), 185 : in(168 ^ [202 ^ [], singleton(202 ^ [])], 202 ^ []), 172 : -(in(168 ^ [202 ^ [], singleton(202 ^ [])], 202 ^ []))],extension(167 ^ 2,bind([[_33203, _33205], [202 ^ [], singleton(202 ^ [])]]))).
% 0.44/1.37 ncf('1.1.1.1',plain,[-(in(168 ^ [202 ^ [], singleton(202 ^ [])], 202 ^ [])), in(168 ^ [202 ^ [], singleton(202 ^ [])], 179 ^ [202 ^ [], singleton(202 ^ [])]), 168 ^ [202 ^ [], singleton(202 ^ [])] = 168 ^ [202 ^ [], singleton(202 ^ [])], 179 ^ [202 ^ [], singleton(202 ^ [])] = 202 ^ []],extension(20 ^ 5,bind([[_28198, _28200, _28202, _28204], [202 ^ [], 179 ^ [202 ^ [], singleton(202 ^ [])], 168 ^ [202 ^ [], singleton(202 ^ [])], 168 ^ [202 ^ [], singleton(202 ^ [])]]]))).
% 0.44/1.37 ncf('1.1.1.1.1',plain,[-(in(168 ^ [202 ^ [], singleton(202 ^ [])], 179 ^ [202 ^ [], singleton(202 ^ [])])), in(168 ^ [202 ^ [], singleton(202 ^ [])], 179 ^ [202 ^ [], singleton(202 ^ [])]), 168 ^ [202 ^ [], singleton(202 ^ [])] = 168 ^ [202 ^ [], singleton(202 ^ [])], 179 ^ [202 ^ [], singleton(202 ^ [])] = 179 ^ [202 ^ [], singleton(202 ^ [])]],extension(20 ^ 6,bind([[_28198, _28200, _28202, _28204], [179 ^ [202 ^ [], singleton(202 ^ [])], 179 ^ [202 ^ [], singleton(202 ^ [])], 168 ^ [202 ^ [], singleton(202 ^ [])], 168 ^ [202 ^ [], singleton(202 ^ [])]]]))).
% 0.44/1.37 ncf('1.1.1.1.1.1',plain,[-(in(168 ^ [202 ^ [], singleton(202 ^ [])], 179 ^ [202 ^ [], singleton(202 ^ [])]))],extension(181 ^ 7)).
% 0.44/1.37 ncf('1.1.1.1.1.2',plain,[-(168 ^ [202 ^ [], singleton(202 ^ [])] = 168 ^ [202 ^ [], singleton(202 ^ [])])],extension(2 ^ 7,bind([[_27546], [168 ^ [202 ^ [], singleton(202 ^ [])]]]))).
% 0.44/1.37 ncf('1.1.1.1.1.3',plain,[-(179 ^ [202 ^ [], singleton(202 ^ [])] = 179 ^ [202 ^ [], singleton(202 ^ [])])],extension(2 ^ 7,bind([[_27546], [179 ^ [202 ^ [], singleton(202 ^ [])]]]))).
% 0.44/1.37 ncf('1.1.1.1.2',plain,[-(168 ^ [202 ^ [], singleton(202 ^ [])] = 168 ^ [202 ^ [], singleton(202 ^ [])])],extension(2 ^ 6,bind([[_27546], [168 ^ [202 ^ [], singleton(202 ^ [])]]]))).
% 0.44/1.37 ncf('1.1.1.1.3',plain,[-(179 ^ [202 ^ [], singleton(202 ^ [])] = 202 ^ []), 98 : in(179 ^ [202 ^ [], singleton(202 ^ [])], singleton(202 ^ [])), 98 : singleton(202 ^ []) = singleton(202 ^ [])],extension(94 ^ 6,bind([[_30572, _30574, _30742], [singleton(202 ^ []), 202 ^ [], 179 ^ [202 ^ [], singleton(202 ^ [])]]]))).
% 0.44/1.37 ncf('1.1.1.1.3.1',plain,[-(in(179 ^ [202 ^ [], singleton(202 ^ [])], singleton(202 ^ [])))],extension(183 ^ 9)).
% 0.44/1.37 ncf('1.1.1.1.3.2',plain,[-(singleton(202 ^ []) = singleton(202 ^ []))],extension(2 ^ 7,bind([[_27546], [singleton(202 ^ [])]]))).
% 0.44/1.37 ncf('1.1.1.2',plain,[in(168 ^ [202 ^ [], singleton(202 ^ [])], 202 ^ []), in(202 ^ [], singleton(202 ^ []))],extension(174 ^ 5,bind([[_33486], [202 ^ []]]))).
% 0.44/1.37 ncf('1.1.1.2.1',plain,[-(in(202 ^ [], singleton(202 ^ []))), 104 : 202 ^ [] = 202 ^ [], 104 : singleton(202 ^ []) = singleton(202 ^ [])],extension(94 ^ 6,bind([[_30572, _30574, _30914], [singleton(202 ^ []), 202 ^ [], 202 ^ []]]))).
% 0.44/1.37 ncf('1.1.1.2.1.1',plain,[-(202 ^ [] = 202 ^ [])],extension(2 ^ 9,bind([[_27546], [202 ^ []]]))).
% 0.44/1.37 ncf('1.1.1.2.1.2',plain,[-(singleton(202 ^ []) = singleton(202 ^ []))],extension(2 ^ 7,bind([[_27546], [singleton(202 ^ [])]]))).
% 0.44/1.37 %-----------------------------------------------------
% 0.44/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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