TSTP Solution File: SET931+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET931+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 11:56:42 EDT 2023
% Result : Theorem 0.35s 1.37s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET931+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n023.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 19:29:44 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.35/1.37
% 0.35/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 ncf(matrix, plain, [(127 ^ _26328) ^ [] : [128 ^ _26328 : [(129 ^ _26328) ^ [] : [-(set_difference(123 ^ [], unordered_pair(124 ^ [], 125 ^ [])) = empty_set)], (131 ^ _26328) ^ [] : [123 ^ [] = empty_set], (133 ^ _26328) ^ [] : [123 ^ [] = singleton(124 ^ [])], (135 ^ _26328) ^ [] : [123 ^ [] = singleton(125 ^ [])], (137 ^ _26328) ^ [] : [123 ^ [] = unordered_pair(124 ^ [], 125 ^ [])]], 138 ^ _26328 : [(153 ^ _26328) ^ [] : [set_difference(123 ^ [], unordered_pair(124 ^ [], 125 ^ [])) = empty_set], (139 ^ _26328) ^ [] : [-(123 ^ [] = empty_set), -(123 ^ [] = singleton(124 ^ [])), -(123 ^ [] = singleton(125 ^ [])), -(123 ^ [] = unordered_pair(124 ^ [], 125 ^ []))]]], (70 ^ _26328) ^ [_28734, _28736] : [-(unordered_pair(_28736, _28734) = unordered_pair(_28734, _28736))], (72 ^ _26328) ^ [] : [-(empty(empty_set))], (105 ^ _26328) ^ [] : [-(empty(103 ^ []))], (108 ^ _26328) ^ [] : [empty(106 ^ [])], (110 ^ _26328) ^ [_30063, _30065] : [-(subset(_30065, _30065))], (112 ^ _26328) ^ [_30181, _30183] : [set_difference(_30183, _30181) = empty_set, -(subset(_30183, _30181))], (118 ^ _26328) ^ [_30349, _30351] : [subset(_30351, _30349), -(set_difference(_30351, _30349) = empty_set)], (92 ^ _26328) ^ [_29425, _29427, _29429] : [93 ^ _26328 : [(94 ^ _26328) ^ [] : [_29429 = empty_set], (96 ^ _26328) ^ [] : [_29429 = singleton(_29427)], (98 ^ _26328) ^ [] : [_29429 = singleton(_29425)], (100 ^ _26328) ^ [] : [_29429 = unordered_pair(_29427, _29425)]], -(subset(_29429, unordered_pair(_29427, _29425)))], (74 ^ _26328) ^ [_28945, _28947, _28949] : [subset(_28949, unordered_pair(_28947, _28945)), -(_28949 = empty_set), -(_28949 = singleton(_28947)), -(_28949 = singleton(_28945)), -(_28949 = unordered_pair(_28947, _28945))], (44 ^ _26328) ^ [_27851, _27853, _27855, _27857] : [-(set_difference(_27857, _27853) = set_difference(_27855, _27851)), _27857 = _27855, _27853 = _27851], (54 ^ _26328) ^ [_28182, _28184] : [_28184 = _28182, -(singleton(_28184) = singleton(_28182))], (60 ^ _26328) ^ [_28408, _28410, _28412, _28414] : [-(unordered_pair(_28414, _28410) = unordered_pair(_28412, _28408)), _28414 = _28412, _28410 = _28408], (2 ^ _26328) ^ [_26472] : [-(_26472 = _26472)], (4 ^ _26328) ^ [_26579, _26581] : [_26581 = _26579, -(_26579 = _26581)], (10 ^ _26328) ^ [_26783, _26785, _26787] : [-(_26787 = _26783), _26787 = _26785, _26785 = _26783], (20 ^ _26328) ^ [_27096, _27098] : [-(empty(_27096)), _27098 = _27096, empty(_27098)], (30 ^ _26328) ^ [_27399, _27401, _27403, _27405] : [-(subset(_27403, _27399)), subset(_27405, _27401), _27405 = _27403, _27401 = _27399]], input).
% 0.35/1.37 ncf('1',plain,[131 : 123 ^ [] = empty_set, 153 : set_difference(123 ^ [], unordered_pair(124 ^ [], 125 ^ [])) = empty_set],start(127 ^ 0)).
% 0.35/1.37 ncf('1.1',plain,[-(123 ^ [] = empty_set), subset(123 ^ [], unordered_pair(124 ^ [], 125 ^ [])), -(123 ^ [] = singleton(124 ^ [])), -(123 ^ [] = singleton(125 ^ [])), -(123 ^ [] = unordered_pair(124 ^ [], 125 ^ []))],extension(74 ^ 3,bind([[_28945, _28947, _28949], [125 ^ [], 124 ^ [], 123 ^ []]]))).
% 0.35/1.37 ncf('1.1.1',plain,[-(subset(123 ^ [], unordered_pair(124 ^ [], 125 ^ []))), set_difference(123 ^ [], unordered_pair(124 ^ [], 125 ^ [])) = empty_set],extension(112 ^ 4,bind([[_30181, _30183], [unordered_pair(124 ^ [], 125 ^ []), 123 ^ []]]))).
% 0.35/1.37 ncf('1.1.1.1',plain,[-(set_difference(123 ^ [], unordered_pair(124 ^ [], 125 ^ [])) = empty_set)],extension(129 ^ 5)).
% 0.35/1.37 ncf('1.1.2',plain,[123 ^ [] = singleton(124 ^ [])],extension(133 ^ 4)).
% 0.35/1.37 ncf('1.1.3',plain,[123 ^ [] = singleton(125 ^ [])],extension(135 ^ 4)).
% 0.35/1.37 ncf('1.1.4',plain,[123 ^ [] = unordered_pair(124 ^ [], 125 ^ [])],extension(137 ^ 4)).
% 0.35/1.37 ncf('1.2',plain,[-(set_difference(123 ^ [], unordered_pair(124 ^ [], 125 ^ [])) = empty_set), subset(123 ^ [], unordered_pair(124 ^ [], 125 ^ []))],extension(118 ^ 3,bind([[_30349, _30351], [unordered_pair(124 ^ [], 125 ^ []), 123 ^ []]]))).
% 0.35/1.37 ncf('1.2.1',plain,[-(subset(123 ^ [], unordered_pair(124 ^ [], 125 ^ []))), 94 : 123 ^ [] = empty_set],extension(92 ^ 4,bind([[_29425, _29427, _29429], [125 ^ [], 124 ^ [], 123 ^ []]]))).
% 0.35/1.37 ncf('1.2.1.1',plain,[-(123 ^ [] = empty_set), -(123 ^ [] = singleton(124 ^ [])), -(123 ^ [] = singleton(125 ^ [])), -(123 ^ [] = unordered_pair(124 ^ [], 125 ^ []))],extension(139 ^ 7)).
% 0.35/1.37 ncf('1.2.1.1.1',plain,[123 ^ [] = singleton(124 ^ [])],extension(96 ^ 8)).
% 0.35/1.37 ncf('1.2.1.1.2',plain,[123 ^ [] = singleton(125 ^ [])],extension(98 ^ 8)).
% 0.35/1.37 ncf('1.2.1.1.3',plain,[123 ^ [] = unordered_pair(124 ^ [], 125 ^ [])],extension(100 ^ 8)).
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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