TSTP Solution File: SET607+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET607+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 0.40s 1.37s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET607+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n001.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 19:36:05 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.40/1.37
% 0.40/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.40/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/1.37 %-----------------------------------------------------
% 0.40/1.37 ncf(matrix, plain, [(178 ^ _27084) ^ [] : [union(175 ^ [], difference(176 ^ [], 175 ^ [])) = union(175 ^ [], 176 ^ [])], (48 ^ _27084) ^ [_28756, _28758, _28760, _28762] : [-(difference(_28762, _28758) = difference(_28760, _28756)), _28762 = _28760, _28758 = _28756], (58 ^ _27084) ^ [_29095, _29097, _29099, _29101] : [-(union(_29101, _29097) = union(_29099, _29095)), _29101 = _29099, _29097 = _29095], (2 ^ _27084) ^ [_27228] : [-(_27228 = _27228)], (4 ^ _27084) ^ [_27335, _27337] : [_27337 = _27335, -(_27335 = _27337)], (10 ^ _27084) ^ [_27539, _27541, _27543] : [-(_27543 = _27539), _27543 = _27541, _27541 = _27539], (20 ^ _27084) ^ [_27880, _27882, _27884, _27886] : [-(subset(_27884, _27880)), subset(_27886, _27882), _27886 = _27884, _27882 = _27880], (34 ^ _27084) ^ [_28304, _28306, _28308, _28310] : [-(member(_28308, _28304)), member(_28310, _28306), _28310 = _28308, _28306 = _28304], (78 ^ _27084) ^ [_29743, _29745, _29747] : [79 ^ _27084 : [(80 ^ _27084) ^ [] : [member(_29743, _29747)], (82 ^ _27084) ^ [] : [member(_29743, _29745)]], -(member(_29743, union(_29747, _29745)))], (68 ^ _27084) ^ [_29475, _29477, _29479] : [member(_29475, union(_29479, _29477)), -(member(_29475, _29479)), -(member(_29475, _29477))], (86 ^ _27084) ^ [_30086, _30088, _30090] : [member(_30086, difference(_30090, _30088)), 89 ^ _27084 : [(90 ^ _27084) ^ [] : [-(member(_30086, _30090))], (92 ^ _27084) ^ [] : [member(_30086, _30088)]]], (94 ^ _27084) ^ [_30338, _30340, _30342] : [-(member(_30338, difference(_30342, _30340))), member(_30338, _30342), -(member(_30338, _30340))], (104 ^ _27084) ^ [_30687, _30689] : [_30689 = _30687, 107 ^ _27084 : [(108 ^ _27084) ^ [] : [-(subset(_30689, _30687))], (110 ^ _27084) ^ [] : [-(subset(_30687, _30689))]]], (112 ^ _27084) ^ [_30924, _30926] : [-(_30926 = _30924), subset(_30926, _30924), subset(_30924, _30926)], (122 ^ _27084) ^ [_31210, _31212] : [-(union(_31212, _31210) = union(_31210, _31212))], (134 ^ _27084) ^ [_31668, _31670] : [136 ^ _27084 : [(137 ^ _27084) ^ [] : [-(member(135 ^ [_31668, _31670], _31670))], (139 ^ _27084) ^ [] : [member(135 ^ [_31668, _31670], _31668)]], -(subset(_31670, _31668))], (124 ^ _27084) ^ [_31354, _31356] : [subset(_31356, _31354), 127 ^ _27084 : [(128 ^ _27084) ^ [_31491] : [member(_31491, _31356), -(member(_31491, _31354))]]], (143 ^ _27084) ^ [_31996] : [-(subset(_31996, _31996))], (161 ^ _27084) ^ [_32629, _32631] : [-(_32631 = _32629), 165 ^ _27084 : [(166 ^ _27084) ^ [] : [-(member(162 ^ [_32629, _32631], _32631))], (168 ^ _27084) ^ [] : [member(162 ^ [_32629, _32631], _32629)]], 169 ^ _27084 : [(170 ^ _27084) ^ [] : [-(member(162 ^ [_32629, _32631], _32629))], (172 ^ _27084) ^ [] : [member(162 ^ [_32629, _32631], _32631)]]], (145 ^ _27084) ^ [_32112, _32114] : [_32114 = _32112, 148 ^ _27084 : [(149 ^ _27084) ^ [_32278] : [member(_32278, _32114), -(member(_32278, _32112))], (155 ^ _27084) ^ [_32450] : [member(_32450, _32112), -(member(_32450, _32114))]]]], input).
% 0.40/1.37 ncf('1',plain,[member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], difference(176 ^ [], 175 ^ [])), 92 : member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 175 ^ [])],start(86 ^ 0,bind([[_30086, _30088, _30090], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 175 ^ [], 176 ^ []]]))).
% 0.40/1.37 ncf('1.1',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], difference(176 ^ [], 175 ^ []))), member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], difference(176 ^ [], 175 ^ []))), -(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 175 ^ []))],extension(68 ^ 1,bind([[_29475, _29477, _29479], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], difference(176 ^ [], 175 ^ []), 175 ^ []]]))).
% 0.40/1.37 ncf('1.1.1',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], difference(176 ^ [], 175 ^ [])))), 80 : member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 175 ^ [])],extension(78 ^ 2,bind([[_29743, _29745, _29747], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], difference(176 ^ [], 175 ^ []), 175 ^ []]]))).
% 0.40/1.37 ncf('1.1.1.1',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 175 ^ [])), member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], 176 ^ [])), -(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ []))],extension(68 ^ 5,bind([[_29475, _29477, _29479], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ [], 175 ^ []]]))).
% 0.40/1.37 ncf('1.1.1.1.1',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], 176 ^ []))), -(union(175 ^ [], difference(176 ^ [], 175 ^ [])) = union(175 ^ [], 176 ^ [])), 166 : -(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], difference(176 ^ [], 175 ^ []))))],extension(161 ^ 6,bind([[_32629, _32631], [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))]]))).
% 0.40/1.37 ncf('1.1.1.1.1.1',plain,[union(175 ^ [], difference(176 ^ [], 175 ^ [])) = union(175 ^ [], 176 ^ [])],extension(178 ^ 7)).
% 0.40/1.37 ncf('1.1.1.1.1.2',plain,[member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], difference(176 ^ [], 175 ^ [])))],reduction('1.1')).
% 0.40/1.37 ncf('1.1.1.1.2',plain,[member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ []), -(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], difference(176 ^ [], 175 ^ []))), -(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 175 ^ []))],extension(94 ^ 6,bind([[_30338, _30340, _30342], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 175 ^ [], 176 ^ []]]))).
% 0.40/1.37 ncf('1.1.1.1.2.1',plain,[member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], difference(176 ^ [], 175 ^ []))],reduction('1')).
% 0.40/1.37 ncf('1.1.1.1.2.2',plain,[member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 175 ^ [])],reduction('1.1.1')).
% 0.40/1.37 ncf('1.1.2',plain,[member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 175 ^ []), -(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], 176 ^ [])))],extension(78 ^ 2,bind([[_29743, _29745, _29747], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ [], 175 ^ []]]))).
% 0.40/1.37 ncf('1.1.2.1',plain,[member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], 176 ^ [])), -(union(175 ^ [], difference(176 ^ [], 175 ^ [])) = union(175 ^ [], 176 ^ [])), 172 : member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], difference(176 ^ [], 175 ^ [])))],extension(161 ^ 3,bind([[_32629, _32631], [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))]]))).
% 0.40/1.37 ncf('1.1.2.1.1',plain,[union(175 ^ [], difference(176 ^ [], 175 ^ [])) = union(175 ^ [], 176 ^ [])],extension(178 ^ 4)).
% 0.40/1.37 ncf('1.1.2.1.2',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], difference(176 ^ [], 175 ^ []))))],lemmata('[1].x')).
% 0.40/1.37 ncf('1.2',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 175 ^ [])), member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], 176 ^ [])), -(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ []))],extension(68 ^ 3,bind([[_29475, _29477, _29479], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ [], 175 ^ []]]))).
% 0.40/1.37 ncf('1.2.1',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], 176 ^ []))), 82 : member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ [])],extension(78 ^ 4,bind([[_29743, _29745, _29747], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ [], 175 ^ []]]))).
% 0.40/1.37 ncf('1.2.1.1',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ [])), member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ []), 162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))] = 162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ [] = 176 ^ []],extension(34 ^ 7,bind([[_28304, _28306, _28308, _28310], [176 ^ [], 176 ^ [], 162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))]]]))).
% 0.40/1.37 ncf('1.2.1.1.1',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ []))],extension(90 ^ 8)).
% 0.40/1.37 ncf('1.2.1.1.2',plain,[-(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))] = 162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))])],extension(2 ^ 8,bind([[_27228], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))]]]))).
% 0.40/1.37 ncf('1.2.1.1.3',plain,[-(176 ^ [] = 176 ^ [])],extension(2 ^ 8,bind([[_27228], [176 ^ []]]))).
% 0.40/1.37 ncf('1.2.2',plain,[member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ []), -(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], 176 ^ [])))],extension(78 ^ 4,bind([[_29743, _29745, _29747], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], 176 ^ [], 175 ^ []]]))).
% 0.40/1.37 ncf('1.2.2.1',plain,[member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], 176 ^ [])), -(union(175 ^ [], difference(176 ^ [], 175 ^ [])) = union(175 ^ [], 176 ^ [])), 172 : member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], difference(176 ^ [], 175 ^ [])))],extension(161 ^ 5,bind([[_32629, _32631], [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))]]))).
% 0.40/1.37 ncf('1.2.2.1.1',plain,[union(175 ^ [], difference(176 ^ [], 175 ^ [])) = union(175 ^ [], 176 ^ [])],extension(178 ^ 6)).
% 0.40/1.37 ncf('1.2.2.1.2',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], union(175 ^ [], difference(176 ^ [], 175 ^ [])))), 82 : member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], difference(176 ^ [], 175 ^ []))],extension(78 ^ 8,bind([[_29743, _29745, _29747], [162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], difference(176 ^ [], 175 ^ []), 175 ^ []]]))).
% 0.40/1.37 ncf('1.2.2.1.2.1',plain,[-(member(162 ^ [union(175 ^ [], 176 ^ []), union(175 ^ [], difference(176 ^ [], 175 ^ []))], difference(176 ^ [], 175 ^ [])))],lemmata('x')).
% 0.40/1.37 %-----------------------------------------------------
% 0.40/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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