TSTP Solution File: SET873+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET873+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 11:56:35 EDT 2023
% Result : Theorem 0.30s 1.36s
% Output : Proof 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET873+1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10 % Command : nanocop.sh %s %d
% 0.09/0.31 % Computer : n010.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Thu May 18 18:40:57 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.30/1.36
% 0.30/1.36 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.30/1.36 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.36 %-----------------------------------------------------
% 0.30/1.36 ncf(matrix, plain, [(143 ^ _24529) ^ [] : [-(set_union2(singleton(140 ^ []), singleton(141 ^ [])) = singleton(140 ^ []))], (145 ^ _24529) ^ [] : [140 ^ [] = 141 ^ []], (74 ^ _24529) ^ [_27033, _27035] : [in(_27035, _27033), in(_27033, _27035)], (80 ^ _24529) ^ [_27229, _27231] : [-(set_union2(_27231, _27229) = set_union2(_27229, _27231))], (113 ^ _24529) ^ [_28430, _28432] : [-(empty(_28432)), empty(set_union2(_28432, _28430))], (119 ^ _24529) ^ [_28646, _28648] : [-(empty(_28648)), empty(set_union2(_28646, _28648))], (125 ^ _24529) ^ [_28847, _28849] : [-(set_union2(_28849, _28849) = _28849)], (134 ^ _24529) ^ [] : [-(empty(132 ^ []))], (137 ^ _24529) ^ [] : [empty(135 ^ [])], (139 ^ _24529) ^ [_29323, _29325] : [-(subset(_29325, _29325))], (127 ^ _24529) ^ [_28959, _28961] : [subset(set_union2(singleton(_28961), _28959), _28959), -(in(_28961, _28959))], (98 ^ _24529) ^ [_27894, _27896] : [-(_27894 = singleton(_27896)), 102 ^ _24529 : [(103 ^ _24529) ^ [] : [-(in(99 ^ [_27894, _27896], _27894))], (105 ^ _24529) ^ [] : [99 ^ [_27894, _27896] = _27896]], 106 ^ _24529 : [(107 ^ _24529) ^ [] : [-(99 ^ [_27894, _27896] = _27896)], (109 ^ _24529) ^ [] : [in(99 ^ [_27894, _27896], _27894)]]], (82 ^ _24529) ^ [_27373, _27375] : [_27373 = singleton(_27375), 85 ^ _24529 : [(86 ^ _24529) ^ [_27543] : [in(_27543, _27373), -(_27543 = _27375)], (92 ^ _24529) ^ [_27715] : [_27715 = _27375, -(in(_27715, _27373))]]], (68 ^ _24529) ^ [_26809, _26811] : [_26811 = _26809, -(singleton(_26811) = singleton(_26809))], (58 ^ _24529) ^ [_26498, _26500, _26502, _26504] : [-(set_union2(_26504, _26500) = set_union2(_26502, _26498)), _26504 = _26502, _26500 = _26498], (2 ^ _24529) ^ [_24673] : [-(_24673 = _24673)], (4 ^ _24529) ^ [_24780, _24782] : [_24782 = _24780, -(_24780 = _24782)], (10 ^ _24529) ^ [_24984, _24986, _24988] : [-(_24988 = _24984), _24988 = _24986, _24986 = _24984], (20 ^ _24529) ^ [_25325, _25327, _25329, _25331] : [-(in(_25329, _25325)), in(_25331, _25327), _25331 = _25329, _25327 = _25325], (34 ^ _24529) ^ [_25741, _25743] : [-(empty(_25741)), _25743 = _25741, empty(_25743)], (44 ^ _24529) ^ [_26044, _26046, _26048, _26050] : [-(subset(_26048, _26044)), subset(_26050, _26046), _26050 = _26048, _26046 = _26044]], input).
% 0.30/1.36 ncf('1',plain,[140 ^ [] = 141 ^ []],start(145 ^ 0)).
% 0.30/1.36 ncf('1.1',plain,[-(140 ^ [] = 141 ^ []), 141 ^ [] = 140 ^ []],extension(4 ^ 1,bind([[_24780, _24782], [140 ^ [], 141 ^ []]]))).
% 0.30/1.36 ncf('1.1.1',plain,[-(141 ^ [] = 140 ^ []), 86 : in(141 ^ [], singleton(140 ^ [])), 86 : singleton(140 ^ []) = singleton(140 ^ [])],extension(82 ^ 2,bind([[_27373, _27375, _27543], [singleton(140 ^ []), 140 ^ [], 141 ^ []]]))).
% 0.30/1.36 ncf('1.1.1.1',plain,[-(in(141 ^ [], singleton(140 ^ []))), subset(set_union2(singleton(141 ^ []), singleton(140 ^ [])), singleton(140 ^ []))],extension(127 ^ 5,bind([[_28959, _28961], [singleton(140 ^ []), 141 ^ []]]))).
% 0.30/1.36 ncf('1.1.1.1.1',plain,[-(subset(set_union2(singleton(141 ^ []), singleton(140 ^ [])), singleton(140 ^ []))), subset(set_union2(singleton(140 ^ []), singleton(141 ^ [])), set_union2(singleton(140 ^ []), singleton(141 ^ []))), set_union2(singleton(140 ^ []), singleton(141 ^ [])) = set_union2(singleton(141 ^ []), singleton(140 ^ [])), set_union2(singleton(140 ^ []), singleton(141 ^ [])) = singleton(140 ^ [])],extension(44 ^ 6,bind([[_26044, _26046, _26048, _26050], [singleton(140 ^ []), set_union2(singleton(140 ^ []), singleton(141 ^ [])), set_union2(singleton(141 ^ []), singleton(140 ^ [])), set_union2(singleton(140 ^ []), singleton(141 ^ []))]]))).
% 0.30/1.36 ncf('1.1.1.1.1.1',plain,[-(subset(set_union2(singleton(140 ^ []), singleton(141 ^ [])), set_union2(singleton(140 ^ []), singleton(141 ^ []))))],extension(139 ^ 7,bind([[_29323, _29325], [_17497, set_union2(singleton(140 ^ []), singleton(141 ^ []))]]))).
% 0.30/1.36 ncf('1.1.1.1.1.2',plain,[-(set_union2(singleton(140 ^ []), singleton(141 ^ [])) = set_union2(singleton(141 ^ []), singleton(140 ^ [])))],extension(80 ^ 7,bind([[_27229, _27231], [singleton(141 ^ []), singleton(140 ^ [])]]))).
% 0.30/1.36 ncf('1.1.1.1.1.3',plain,[-(set_union2(singleton(140 ^ []), singleton(141 ^ [])) = singleton(140 ^ []))],extension(143 ^ 7)).
% 0.30/1.36 ncf('1.1.1.2',plain,[-(singleton(140 ^ []) = singleton(140 ^ [])), 86 : in(singleton(140 ^ []), set_union2(singleton(singleton(140 ^ [])), singleton(singleton(140 ^ [])))), 86 : set_union2(singleton(singleton(140 ^ [])), singleton(singleton(140 ^ []))) = singleton(singleton(140 ^ []))],extension(82 ^ 3,bind([[_27373, _27375, _27543], [set_union2(singleton(singleton(140 ^ [])), singleton(singleton(140 ^ []))), singleton(140 ^ []), singleton(140 ^ [])]]))).
% 0.30/1.36 ncf('1.1.1.2.1',plain,[-(in(singleton(140 ^ []), set_union2(singleton(singleton(140 ^ [])), singleton(singleton(140 ^ []))))), 92 : singleton(140 ^ []) = singleton(140 ^ []), 92 : set_union2(singleton(singleton(140 ^ [])), singleton(singleton(140 ^ []))) = singleton(singleton(140 ^ []))],extension(82 ^ 6,bind([[_27373, _27375, _27715], [set_union2(singleton(singleton(140 ^ [])), singleton(singleton(140 ^ []))), singleton(140 ^ []), singleton(140 ^ [])]]))).
% 0.30/1.36 ncf('1.1.1.2.1.1',plain,[-(singleton(140 ^ []) = singleton(140 ^ []))],extension(2 ^ 9,bind([[_24673], [singleton(140 ^ [])]]))).
% 0.30/1.36 ncf('1.1.1.2.1.2',plain,[-(set_union2(singleton(singleton(140 ^ [])), singleton(singleton(140 ^ []))) = singleton(singleton(140 ^ [])))],extension(125 ^ 7,bind([[_28847, _28849], [_18429, singleton(singleton(140 ^ []))]]))).
% 0.30/1.36 ncf('1.1.1.2.2',plain,[-(set_union2(singleton(singleton(140 ^ [])), singleton(singleton(140 ^ []))) = singleton(singleton(140 ^ [])))],extension(125 ^ 4,bind([[_28847, _28849], [_18555, singleton(singleton(140 ^ []))]]))).
% 0.30/1.36 %-----------------------------------------------------
% 0.30/1.36 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------