TSTP Solution File: SET600+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET600+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n029.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 11:56:04 EDT 2023
% Result : Theorem 0.43s 1.37s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET600+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n029.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 19:07:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.43/1.37
% 0.43/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.43/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.37 %-----------------------------------------------------
% 0.43/1.37 ncf(matrix, plain, [(175 ^ _27866) ^ [] : [184 ^ _27866 : [(185 ^ _27866) ^ [] : [-(172 ^ [] = empty_set)], (187 ^ _27866) ^ [] : [-(173 ^ [] = empty_set)], (189 ^ _27866) ^ [] : [union(172 ^ [], 173 ^ []) = empty_set]], 176 ^ _27866 : [(177 ^ _27866) ^ [] : [-(union(172 ^ [], 173 ^ []) = empty_set)], (179 ^ _27866) ^ [] : [172 ^ [] = empty_set, 173 ^ [] = empty_set]]], (58 ^ _27866) ^ [_29815, _29817, _29819, _29821] : [-(union(_29821, _29817) = union(_29819, _29815)), _29821 = _29819, _29817 = _29815], (2 ^ _27866) ^ [_28010] : [-(_28010 = _28010)], (4 ^ _27866) ^ [_28117, _28119] : [_28119 = _28117, -(_28117 = _28119)], (10 ^ _27866) ^ [_28321, _28323, _28325] : [-(_28325 = _28321), _28325 = _28323, _28323 = _28321], (20 ^ _27866) ^ [_28662, _28664, _28666, _28668] : [-(subset(_28666, _28662)), subset(_28668, _28664), _28668 = _28666, _28664 = _28662], (34 ^ _27866) ^ [_29078, _29080] : [-(empty(_29078)), _29080 = _29078, empty(_29080)], (44 ^ _27866) ^ [_29381, _29383, _29385, _29387] : [-(member(_29385, _29381)), member(_29387, _29383), _29387 = _29385, _29383 = _29381], (78 ^ _27866) ^ [_30459, _30461, _30463] : [79 ^ _27866 : [(80 ^ _27866) ^ [] : [member(_30459, _30463)], (82 ^ _27866) ^ [] : [member(_30459, _30461)]], -(member(_30459, union(_30463, _30461)))], (68 ^ _27866) ^ [_30191, _30193, _30195] : [member(_30191, union(_30195, _30193)), -(member(_30191, _30195)), -(member(_30191, _30193))], (86 ^ _27866) ^ [_30729] : [member(_30729, empty_set)], (88 ^ _27866) ^ [_30865, _30867] : [_30867 = _30865, 91 ^ _27866 : [(92 ^ _27866) ^ [] : [-(subset(_30867, _30865))], (94 ^ _27866) ^ [] : [-(subset(_30865, _30867))]]], (96 ^ _27866) ^ [_31102, _31104] : [-(_31104 = _31102), subset(_31104, _31102), subset(_31102, _31104)], (106 ^ _27866) ^ [_31388, _31390] : [-(union(_31390, _31388) = union(_31388, _31390))], (118 ^ _27866) ^ [_31846, _31848] : [120 ^ _27866 : [(121 ^ _27866) ^ [] : [-(member(119 ^ [_31846, _31848], _31848))], (123 ^ _27866) ^ [] : [member(119 ^ [_31846, _31848], _31846)]], -(subset(_31848, _31846))], (108 ^ _27866) ^ [_31532, _31534] : [subset(_31534, _31532), 111 ^ _27866 : [(112 ^ _27866) ^ [_31669] : [member(_31669, _31534), -(member(_31669, _31532))]]], (127 ^ _27866) ^ [_32174] : [-(subset(_32174, _32174))], (129 ^ _27866) ^ [_32296] : [empty(_32296), 132 ^ _27866 : [(133 ^ _27866) ^ [_32407] : [member(_32407, _32296)]]], (135 ^ _27866) ^ [_32473] : [-(member(136 ^ [_32473], _32473)), -(empty(_32473))], (158 ^ _27866) ^ [_33259, _33261] : [-(_33261 = _33259), 162 ^ _27866 : [(163 ^ _27866) ^ [] : [-(member(159 ^ [_33259, _33261], _33261))], (165 ^ _27866) ^ [] : [member(159 ^ [_33259, _33261], _33259)]], 166 ^ _27866 : [(167 ^ _27866) ^ [] : [-(member(159 ^ [_33259, _33261], _33259))], (169 ^ _27866) ^ [] : [member(159 ^ [_33259, _33261], _33261)]]], (142 ^ _27866) ^ [_32742, _32744] : [_32744 = _32742, 145 ^ _27866 : [(146 ^ _27866) ^ [_32908] : [member(_32908, _32744), -(member(_32908, _32742))], (152 ^ _27866) ^ [_33080] : [member(_33080, _32742), -(member(_33080, _32744))]]]], input).
% 0.43/1.37 ncf('1',plain,[189 : union(172 ^ [], 173 ^ []) = empty_set, 179 : 172 ^ [] = empty_set, 179 : 173 ^ [] = empty_set],start(175 ^ 0)).
% 0.43/1.37 ncf('1.1',plain,[-(union(172 ^ [], 173 ^ []) = empty_set), union(172 ^ [], 173 ^ []) = union(empty_set, empty_set), union(empty_set, empty_set) = empty_set],extension(10 ^ 3,bind([[_28321, _28323, _28325], [empty_set, union(empty_set, empty_set), union(172 ^ [], 173 ^ [])]]))).
% 0.43/1.37 ncf('1.1.1',plain,[-(union(172 ^ [], 173 ^ []) = union(empty_set, empty_set)), 172 ^ [] = empty_set, 173 ^ [] = empty_set],extension(58 ^ 4,bind([[_29815, _29817, _29819, _29821], [empty_set, 173 ^ [], empty_set, 172 ^ []]]))).
% 0.43/1.37 ncf('1.1.1.1',plain,[-(172 ^ [] = empty_set)],extension(185 ^ 5)).
% 0.43/1.37 ncf('1.1.1.2',plain,[-(173 ^ [] = empty_set)],extension(187 ^ 5)).
% 0.43/1.37 ncf('1.1.2',plain,[-(union(empty_set, empty_set) = empty_set), 163 : -(member(159 ^ [empty_set, union(empty_set, empty_set)], union(empty_set, empty_set))), 167 : -(member(159 ^ [empty_set, union(empty_set, empty_set)], empty_set))],extension(158 ^ 4,bind([[_33259, _33261], [empty_set, union(empty_set, empty_set)]]))).
% 0.43/1.37 ncf('1.1.2.1',plain,[member(159 ^ [empty_set, union(empty_set, empty_set)], union(empty_set, empty_set)), -(member(159 ^ [empty_set, union(empty_set, empty_set)], empty_set)), -(member(159 ^ [empty_set, union(empty_set, empty_set)], empty_set))],extension(68 ^ 7,bind([[_30191, _30193, _30195], [159 ^ [empty_set, union(empty_set, empty_set)], empty_set, empty_set]]))).
% 0.43/1.37 ncf('1.1.2.1.1',plain,[member(159 ^ [empty_set, union(empty_set, empty_set)], empty_set)],extension(86 ^ 8,bind([[_30729], [159 ^ [empty_set, union(empty_set, empty_set)]]]))).
% 0.43/1.37 ncf('1.1.2.1.2',plain,[member(159 ^ [empty_set, union(empty_set, empty_set)], empty_set)],lemmata('[2, 1, 1].x')).
% 0.43/1.37 ncf('1.1.2.2',plain,[member(159 ^ [empty_set, union(empty_set, empty_set)], empty_set), -(member(159 ^ [empty_set, union(empty_set, empty_set)], empty_set)), 159 ^ [empty_set, union(empty_set, empty_set)] = 159 ^ [empty_set, union(empty_set, empty_set)], empty_set = empty_set],extension(44 ^ 7,bind([[_29381, _29383, _29385, _29387], [empty_set, empty_set, 159 ^ [empty_set, union(empty_set, empty_set)], 159 ^ [empty_set, union(empty_set, empty_set)]]]))).
% 0.43/1.37 ncf('1.1.2.2.1',plain,[member(159 ^ [empty_set, union(empty_set, empty_set)], empty_set)],extension(86 ^ 8,bind([[_30729], [159 ^ [empty_set, union(empty_set, empty_set)]]]))).
% 0.43/1.37 ncf('1.1.2.2.2',plain,[-(159 ^ [empty_set, union(empty_set, empty_set)] = 159 ^ [empty_set, union(empty_set, empty_set)])],extension(2 ^ 8,bind([[_28010], [159 ^ [empty_set, union(empty_set, empty_set)]]]))).
% 0.43/1.37 ncf('1.1.2.2.3',plain,[-(empty_set = empty_set)],extension(2 ^ 8,bind([[_28010], [empty_set]]))).
% 0.43/1.37 ncf('1.2',plain,[-(172 ^ [] = empty_set), 163 : -(member(159 ^ [empty_set, 172 ^ []], 172 ^ [])), 167 : -(member(159 ^ [empty_set, 172 ^ []], empty_set))],extension(158 ^ 3,bind([[_33259, _33261], [empty_set, 172 ^ []]]))).
% 0.43/1.37 ncf('1.2.1',plain,[member(159 ^ [empty_set, 172 ^ []], 172 ^ []), -(member(159 ^ [empty_set, 172 ^ []], union(172 ^ [], 173 ^ [])))],extension(78 ^ 6,bind([[_30459, _30461, _30463], [159 ^ [empty_set, 172 ^ []], 173 ^ [], 172 ^ []]]))).
% 0.43/1.37 ncf('1.2.1.1',plain,[member(159 ^ [empty_set, 172 ^ []], union(172 ^ [], 173 ^ [])), -(member(159 ^ [empty_set, 172 ^ []], empty_set)), 159 ^ [empty_set, 172 ^ []] = 159 ^ [empty_set, 172 ^ []], union(172 ^ [], 173 ^ []) = empty_set],extension(44 ^ 7,bind([[_29381, _29383, _29385, _29387], [empty_set, union(172 ^ [], 173 ^ []), 159 ^ [empty_set, 172 ^ []], 159 ^ [empty_set, 172 ^ []]]]))).
% 0.43/1.37 ncf('1.2.1.1.1',plain,[member(159 ^ [empty_set, 172 ^ []], empty_set)],extension(86 ^ 8,bind([[_30729], [159 ^ [empty_set, 172 ^ []]]]))).
% 0.43/1.37 ncf('1.2.1.1.2',plain,[-(159 ^ [empty_set, 172 ^ []] = 159 ^ [empty_set, 172 ^ []])],extension(2 ^ 8,bind([[_28010], [159 ^ [empty_set, 172 ^ []]]]))).
% 0.43/1.37 ncf('1.2.1.1.3',plain,[-(union(172 ^ [], 173 ^ []) = empty_set)],extension(177 ^ 8)).
% 0.43/1.37 ncf('1.2.2',plain,[member(159 ^ [empty_set, 172 ^ []], empty_set)],extension(86 ^ 6,bind([[_30729], [159 ^ [empty_set, 172 ^ []]]]))).
% 0.43/1.37 ncf('1.3',plain,[-(173 ^ [] = empty_set), 163 : -(member(159 ^ [empty_set, 173 ^ []], 173 ^ [])), 167 : -(member(159 ^ [empty_set, 173 ^ []], empty_set))],extension(158 ^ 3,bind([[_33259, _33261], [empty_set, 173 ^ []]]))).
% 0.43/1.37 ncf('1.3.1',plain,[member(159 ^ [empty_set, 173 ^ []], 173 ^ []), -(member(159 ^ [empty_set, 173 ^ []], union(172 ^ [], 173 ^ [])))],extension(78 ^ 6,bind([[_30459, _30461, _30463], [159 ^ [empty_set, 173 ^ []], 173 ^ [], 172 ^ []]]))).
% 0.43/1.37 ncf('1.3.1.1',plain,[member(159 ^ [empty_set, 173 ^ []], union(172 ^ [], 173 ^ [])), -(member(159 ^ [empty_set, 173 ^ []], empty_set)), 159 ^ [empty_set, 173 ^ []] = 159 ^ [empty_set, 173 ^ []], union(172 ^ [], 173 ^ []) = empty_set],extension(44 ^ 7,bind([[_29381, _29383, _29385, _29387], [empty_set, union(172 ^ [], 173 ^ []), 159 ^ [empty_set, 173 ^ []], 159 ^ [empty_set, 173 ^ []]]]))).
% 0.43/1.37 ncf('1.3.1.1.1',plain,[member(159 ^ [empty_set, 173 ^ []], empty_set)],extension(86 ^ 8,bind([[_30729], [159 ^ [empty_set, 173 ^ []]]]))).
% 0.43/1.37 ncf('1.3.1.1.2',plain,[-(159 ^ [empty_set, 173 ^ []] = 159 ^ [empty_set, 173 ^ []])],extension(2 ^ 8,bind([[_28010], [159 ^ [empty_set, 173 ^ []]]]))).
% 0.43/1.37 ncf('1.3.1.1.3',plain,[-(union(172 ^ [], 173 ^ []) = empty_set)],extension(177 ^ 8)).
% 0.43/1.37 ncf('1.3.2',plain,[member(159 ^ [empty_set, 173 ^ []], empty_set)],extension(86 ^ 6,bind([[_30729], [159 ^ [empty_set, 173 ^ []]]]))).
% 0.43/1.37 %-----------------------------------------------------
% 0.43/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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