TSTP Solution File: SEU120+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU120+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n007.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 12:02:15 EDT 2023

% Result   : Theorem 0.40s 1.38s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU120+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May 18 12:51:07 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.40/1.38  
% 0.40/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.40/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/1.38  %-----------------------------------------------------
% 0.40/1.38  ncf(matrix, plain, [(193 ^ _30774) ^ [] : [194 ^ _30774 : [(195 ^ _30774) ^ [] : [disjoint(190 ^ [], 191 ^ [])], (197 ^ _30774) ^ [_37452] : [in(_37452, set_intersection2(190 ^ [], 191 ^ []))]], 199 ^ _30774 : [(200 ^ _30774) ^ [] : [-(in(198 ^ [], set_intersection2(190 ^ [], 191 ^ [])))], (202 ^ _30774) ^ [] : [-(disjoint(190 ^ [], 191 ^ []))]]], (58 ^ _30774) ^ [_32723, _32725, _32727, _32729] : [-(set_intersection2(_32729, _32725) = set_intersection2(_32727, _32723)), _32729 = _32727, _32725 = _32723], (2 ^ _30774) ^ [_30918] : [-(_30918 = _30918)], (4 ^ _30774) ^ [_31025, _31027] : [_31027 = _31025, -(_31025 = _31027)], (10 ^ _30774) ^ [_31229, _31231, _31233] : [-(_31233 = _31229), _31233 = _31231, _31231 = _31229], (20 ^ _30774) ^ [_31542, _31544] : [-(empty(_31542)), _31544 = _31542, empty(_31544)], (30 ^ _30774) ^ [_31865, _31867, _31869, _31871] : [-(in(_31869, _31865)), in(_31871, _31867), _31871 = _31869, _31867 = _31865], (44 ^ _30774) ^ [_32289, _32291, _32293, _32295] : [-(disjoint(_32293, _32289)), disjoint(_32295, _32291), _32295 = _32293, _32291 = _32289], (68 ^ _30774) ^ [_33056, _33058] : [in(_33058, _33056), in(_33056, _33058)], (74 ^ _30774) ^ [_33252, _33254] : [-(set_intersection2(_33254, _33252) = set_intersection2(_33252, _33254))], (76 ^ _30774) ^ [_33382] : [_33382 = empty_set, 79 ^ _30774 : [(80 ^ _30774) ^ [_33495] : [in(_33495, _33382)]]], (82 ^ _30774) ^ [_33561] : [-(in(83 ^ [_33561], _33561)), -(_33561 = empty_set)], (111 ^ _30774) ^ [_34591, _34593, _34595] : [-(_34591 = set_intersection2(_34595, _34593)), 123 ^ _30774 : [(124 ^ _30774) ^ [] : [-(in(112 ^ [_34591, _34593, _34595], _34595))], (126 ^ _30774) ^ [] : [-(in(112 ^ [_34591, _34593, _34595], _34593))], (128 ^ _30774) ^ [] : [in(112 ^ [_34591, _34593, _34595], _34591)]], 115 ^ _30774 : [(116 ^ _30774) ^ [] : [-(in(112 ^ [_34591, _34593, _34595], _34591))], (118 ^ _30774) ^ [] : [in(112 ^ [_34591, _34593, _34595], _34595), in(112 ^ [_34591, _34593, _34595], _34593)]]], (89 ^ _30774) ^ [_33866, _33868, _33870] : [_33866 = set_intersection2(_33870, _33868), 92 ^ _30774 : [(93 ^ _30774) ^ [_34048] : [in(_34048, _33866), 96 ^ _30774 : [(97 ^ _30774) ^ [] : [-(in(_34048, _33870))], (99 ^ _30774) ^ [] : [-(in(_34048, _33868))]]], (101 ^ _30774) ^ [_34307] : [-(in(_34307, _33866)), in(_34307, _33870), in(_34307, _33868)]]], (132 ^ _30774) ^ [_35373, _35375] : [disjoint(_35375, _35373), -(set_intersection2(_35375, _35373) = empty_set)], (138 ^ _30774) ^ [_35541, _35543] : [set_intersection2(_35543, _35541) = empty_set, -(disjoint(_35543, _35541))], (144 ^ _30774) ^ [] : [true___, -(true___)], (150 ^ _30774) ^ [] : [true___, -(true___)], (156 ^ _30774) ^ [] : [-(empty(empty_set))], (158 ^ _30774) ^ [_36035, _36037] : [-(set_intersection2(_36037, _36037) = _36037)], (161 ^ _30774) ^ [] : [-(empty(159 ^ []))], (164 ^ _30774) ^ [] : [empty(162 ^ [])], (166 ^ _30774) ^ [_36326, _36328] : [disjoint(_36328, _36326), -(disjoint(_36326, _36328))], (172 ^ _30774) ^ [_36536, _36538] : [-(disjoint(_36538, _36536)), 176 ^ _30774 : [(177 ^ _30774) ^ [] : [-(in(175 ^ [_36536, _36538], _36538))], (179 ^ _30774) ^ [] : [-(in(175 ^ [_36536, _36538], _36536))]]], (181 ^ _30774) ^ [_36850, _36852] : [disjoint(_36852, _36850), 182 ^ _30774 : [(183 ^ _30774) ^ [_36942] : [in(_36942, _36852), in(_36942, _36850)]]]], input).
% 0.40/1.38  ncf('1',plain,[disjoint(190 ^ [], 191 ^ []), 183 : in(112 ^ [empty_set, 191 ^ [], 190 ^ []], 190 ^ []), 183 : in(112 ^ [empty_set, 191 ^ [], 190 ^ []], 191 ^ [])],start(181 ^ 0,bind([[_36850, _36852, _36942], [191 ^ [], 190 ^ [], 112 ^ [empty_set, 191 ^ [], 190 ^ []]]]))).
% 0.40/1.38  ncf('1.1',plain,[-(disjoint(190 ^ [], 191 ^ [])), 197 : in(83 ^ [set_intersection2(190 ^ [], 191 ^ [])], set_intersection2(190 ^ [], 191 ^ []))],extension(193 ^ 1,bind([[_37452], [83 ^ [set_intersection2(190 ^ [], 191 ^ [])]]]))).
% 0.40/1.38  ncf('1.1.1',plain,[-(in(83 ^ [set_intersection2(190 ^ [], 191 ^ [])], set_intersection2(190 ^ [], 191 ^ []))), -(set_intersection2(190 ^ [], 191 ^ []) = empty_set)],extension(82 ^ 4,bind([[_33561], [set_intersection2(190 ^ [], 191 ^ [])]]))).
% 0.40/1.38  ncf('1.1.1.1',plain,[set_intersection2(190 ^ [], 191 ^ []) = empty_set, -(disjoint(190 ^ [], 191 ^ []))],extension(138 ^ 5,bind([[_35541, _35543], [191 ^ [], 190 ^ []]]))).
% 0.40/1.38  ncf('1.1.1.1.1',plain,[disjoint(190 ^ [], 191 ^ [])],reduction('1')).
% 0.40/1.38  ncf('1.2',plain,[-(in(112 ^ [empty_set, 191 ^ [], 190 ^ []], 190 ^ [])), -(empty_set = set_intersection2(190 ^ [], 191 ^ [])), 116 : -(in(112 ^ [empty_set, 191 ^ [], 190 ^ []], empty_set))],extension(111 ^ 3,bind([[_34591, _34593, _34595], [empty_set, 191 ^ [], 190 ^ []]]))).
% 0.40/1.38  ncf('1.2.1',plain,[empty_set = set_intersection2(190 ^ [], 191 ^ []), -(set_intersection2(190 ^ [], 191 ^ []) = empty_set)],extension(4 ^ 4,bind([[_31025, _31027], [set_intersection2(190 ^ [], 191 ^ []), empty_set]]))).
% 0.40/1.38  ncf('1.2.1.1',plain,[set_intersection2(190 ^ [], 191 ^ []) = empty_set, 80 : in(198 ^ [], set_intersection2(190 ^ [], 191 ^ []))],extension(76 ^ 5,bind([[_33382, _33495], [set_intersection2(190 ^ [], 191 ^ []), 198 ^ []]]))).
% 0.40/1.38  ncf('1.2.1.1.1',plain,[-(in(198 ^ [], set_intersection2(190 ^ [], 191 ^ []))), 195 : disjoint(190 ^ [], 191 ^ [])],extension(193 ^ 8)).
% 0.40/1.38  ncf('1.2.1.1.1.1',plain,[-(disjoint(190 ^ [], 191 ^ []))],lemmata('x')).
% 0.40/1.38  ncf('1.2.2',plain,[in(112 ^ [empty_set, 191 ^ [], 190 ^ []], empty_set), empty_set = empty_set],extension(76 ^ 6,bind([[_33382, _33495], [empty_set, 112 ^ [empty_set, 191 ^ [], 190 ^ []]]]))).
% 0.40/1.38  ncf('1.2.2.1',plain,[-(empty_set = empty_set)],extension(2 ^ 7,bind([[_30918], [empty_set]]))).
% 0.40/1.38  ncf('1.3',plain,[-(in(112 ^ [empty_set, 191 ^ [], 190 ^ []], 191 ^ [])), -(empty_set = set_intersection2(190 ^ [], 191 ^ [])), 116 : -(in(112 ^ [empty_set, 191 ^ [], 190 ^ []], empty_set))],extension(111 ^ 3,bind([[_34591, _34593, _34595], [empty_set, 191 ^ [], 190 ^ []]]))).
% 0.40/1.38  ncf('1.3.1',plain,[empty_set = set_intersection2(190 ^ [], 191 ^ []), -(set_intersection2(190 ^ [], 191 ^ []) = empty_set)],extension(4 ^ 4,bind([[_31025, _31027], [set_intersection2(190 ^ [], 191 ^ []), empty_set]]))).
% 0.40/1.38  ncf('1.3.1.1',plain,[set_intersection2(190 ^ [], 191 ^ []) = empty_set, 80 : in(198 ^ [], set_intersection2(190 ^ [], 191 ^ []))],extension(76 ^ 5,bind([[_33382, _33495], [set_intersection2(190 ^ [], 191 ^ []), 198 ^ []]]))).
% 0.40/1.38  ncf('1.3.1.1.1',plain,[-(in(198 ^ [], set_intersection2(190 ^ [], 191 ^ []))), 195 : disjoint(190 ^ [], 191 ^ [])],extension(193 ^ 8)).
% 0.40/1.38  ncf('1.3.1.1.1.1',plain,[-(disjoint(190 ^ [], 191 ^ []))],lemmata('x')).
% 0.40/1.38  ncf('1.3.2',plain,[in(112 ^ [empty_set, 191 ^ [], 190 ^ []], empty_set), empty_set = empty_set],extension(76 ^ 6,bind([[_33382, _33495], [empty_set, 112 ^ [empty_set, 191 ^ [], 190 ^ []]]]))).
% 0.40/1.38  ncf('1.3.2.1',plain,[-(empty_set = empty_set)],extension(2 ^ 7,bind([[_30918], [empty_set]]))).
% 0.40/1.38  %-----------------------------------------------------
% 0.40/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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