TSTP Solution File: SET610+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET610+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 11:56:06 EDT 2023
% Result : Theorem 0.76s 1.37s
% Output : Proof 0.76s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET610+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n019.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 19:08:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.76/1.37
% 0.76/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.76/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/1.37 %-----------------------------------------------------
% 0.76/1.37 ncf(matrix, plain, [(193 ^ _27941) ^ [] : [difference(union(190 ^ [], 191 ^ []), 191 ^ []) = difference(190 ^ [], 191 ^ [])], (48 ^ _27941) ^ [_29613, _29615, _29617, _29619] : [-(union(_29619, _29615) = union(_29617, _29613)), _29619 = _29617, _29615 = _29613], (58 ^ _27941) ^ [_29952, _29954, _29956, _29958] : [-(difference(_29958, _29954) = difference(_29956, _29952)), _29958 = _29956, _29954 = _29952], (2 ^ _27941) ^ [_28085] : [-(_28085 = _28085)], (4 ^ _27941) ^ [_28192, _28194] : [_28194 = _28192, -(_28192 = _28194)], (10 ^ _27941) ^ [_28396, _28398, _28400] : [-(_28400 = _28396), _28400 = _28398, _28398 = _28396], (20 ^ _27941) ^ [_28737, _28739, _28741, _28743] : [-(member(_28741, _28737)), member(_28743, _28739), _28743 = _28741, _28739 = _28737], (34 ^ _27941) ^ [_29161, _29163, _29165, _29167] : [-(subset(_29165, _29161)), subset(_29167, _29163), _29167 = _29165, _29163 = _29161], (68 ^ _27941) ^ [_30289, _30291] : [-(_30291 = _30289), 72 ^ _27941 : [(73 ^ _27941) ^ [] : [-(member(69 ^ [_30289, _30291], _30291))], (75 ^ _27941) ^ [] : [member(69 ^ [_30289, _30291], _30289)]], 76 ^ _27941 : [(77 ^ _27941) ^ [] : [-(member(69 ^ [_30289, _30291], _30289))], (79 ^ _27941) ^ [] : [member(69 ^ [_30289, _30291], _30291)]]], (93 ^ _27941) ^ [_31130, _31132, _31134] : [94 ^ _27941 : [(95 ^ _27941) ^ [] : [member(_31130, _31134)], (97 ^ _27941) ^ [] : [member(_31130, _31132)]], -(member(_31130, union(_31134, _31132)))], (83 ^ _27941) ^ [_30862, _30864, _30866] : [member(_30862, union(_30866, _30864)), -(member(_30862, _30866)), -(member(_30862, _30864))], (101 ^ _27941) ^ [_31473, _31475, _31477] : [member(_31473, difference(_31477, _31475)), 104 ^ _27941 : [(105 ^ _27941) ^ [] : [-(member(_31473, _31477))], (107 ^ _27941) ^ [] : [member(_31473, _31475)]]], (109 ^ _27941) ^ [_31725, _31727, _31729] : [-(member(_31725, difference(_31729, _31727))), member(_31725, _31729), -(member(_31725, _31727))], (119 ^ _27941) ^ [_32074, _32076] : [_32076 = _32074, 122 ^ _27941 : [(123 ^ _27941) ^ [] : [-(subset(_32076, _32074))], (125 ^ _27941) ^ [] : [-(subset(_32074, _32076))]]], (127 ^ _27941) ^ [_32311, _32313] : [-(_32313 = _32311), subset(_32313, _32311), subset(_32311, _32313)], (137 ^ _27941) ^ [_32597, _32599] : [-(union(_32599, _32597) = union(_32597, _32599))], (189 ^ _27941) ^ [_34441] : [-(subset(_34441, _34441))], (180 ^ _27941) ^ [_34133, _34135] : [182 ^ _27941 : [(183 ^ _27941) ^ [] : [-(member(181 ^ [_34133, _34135], _34135))], (185 ^ _27941) ^ [] : [member(181 ^ [_34133, _34135], _34133)]], -(subset(_34135, _34133))], (170 ^ _27941) ^ [_33819, _33821] : [subset(_33821, _33819), 173 ^ _27941 : [(174 ^ _27941) ^ [_33956] : [member(_33956, _33821), -(member(_33956, _33819))]]], (155 ^ _27941) ^ [_33258, _33260] : [-(_33260 = _33258), 159 ^ _27941 : [(160 ^ _27941) ^ [] : [-(member(156 ^ [_33258, _33260], _33260))], (162 ^ _27941) ^ [] : [member(156 ^ [_33258, _33260], _33258)]], 163 ^ _27941 : [(164 ^ _27941) ^ [] : [-(member(156 ^ [_33258, _33260], _33258))], (166 ^ _27941) ^ [] : [member(156 ^ [_33258, _33260], _33260)]]], (139 ^ _27941) ^ [_32741, _32743] : [_32743 = _32741, 142 ^ _27941 : [(143 ^ _27941) ^ [_32907] : [member(_32907, _32743), -(member(_32907, _32741))], (149 ^ _27941) ^ [_33079] : [member(_33079, _32741), -(member(_33079, _32743))]]]], input).
% 0.76/1.37 ncf('1',plain,[difference(union(190 ^ [], 191 ^ []), 191 ^ []) = difference(190 ^ [], 191 ^ [])],start(193 ^ 0)).
% 0.76/1.37 ncf('1.1',plain,[-(difference(union(190 ^ [], 191 ^ []), 191 ^ []) = difference(190 ^ [], 191 ^ [])), 73 : -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], difference(union(190 ^ [], 191 ^ []), 191 ^ []))), 77 : -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], difference(190 ^ [], 191 ^ [])))],extension(68 ^ 1,bind([[_30289, _30291], [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])]]))).
% 0.76/1.37 ncf('1.1.1',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], difference(union(190 ^ [], 191 ^ []), 191 ^ [])), 105 : -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], union(190 ^ [], 191 ^ [])))],extension(101 ^ 4,bind([[_31473, _31475, _31477], [69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ [], union(190 ^ [], 191 ^ [])]]))).
% 0.76/1.37 ncf('1.1.1.1',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], union(190 ^ [], 191 ^ [])), -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 190 ^ [])), -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ []))],extension(83 ^ 7,bind([[_30862, _30864, _30866], [69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ [], 190 ^ []]]))).
% 0.76/1.37 ncf('1.1.1.1.1',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 190 ^ []), -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], difference(190 ^ [], 191 ^ []))), -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ []))],extension(109 ^ 8,bind([[_31725, _31727, _31729], [69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ [], 190 ^ []]]))).
% 0.76/1.37 ncf('1.1.1.1.1.1',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], difference(190 ^ [], 191 ^ []))],extension(75 ^ 9)).
% 0.76/1.37 ncf('1.1.1.1.1.2',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ [])],extension(107 ^ 9)).
% 0.76/1.37 ncf('1.1.1.1.2',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ [])],extension(107 ^ 8)).
% 0.76/1.37 ncf('1.1.2',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], difference(190 ^ [], 191 ^ [])), 105 : -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 190 ^ []))],extension(101 ^ 4,bind([[_31473, _31475, _31477], [69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ [], 190 ^ []]]))).
% 0.76/1.37 ncf('1.1.2.1',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 190 ^ []), -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], union(190 ^ [], 191 ^ [])))],extension(93 ^ 7,bind([[_31130, _31132, _31134], [69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ [], 190 ^ []]]))).
% 0.76/1.37 ncf('1.1.2.1.1',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], union(190 ^ [], 191 ^ [])), -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], difference(union(190 ^ [], 191 ^ []), 191 ^ []))), -(member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ []))],extension(109 ^ 8,bind([[_31725, _31727, _31729], [69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ [], union(190 ^ [], 191 ^ [])]]))).
% 0.76/1.37 ncf('1.1.2.1.1.1',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], difference(union(190 ^ [], 191 ^ []), 191 ^ []))],extension(79 ^ 9)).
% 0.76/1.37 ncf('1.1.2.1.1.2',plain,[member(69 ^ [difference(190 ^ [], 191 ^ []), difference(union(190 ^ [], 191 ^ []), 191 ^ [])], 191 ^ [])],extension(107 ^ 9)).
% 0.76/1.37 %-----------------------------------------------------
% 0.76/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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