TSTP Solution File: SET920+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET920+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 11:56:40 EDT 2023

% Result   : Theorem 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET920+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.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 19:08:15 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(171 ^ _24150) ^ [] : [-(set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ []) = unordered_pair(167 ^ [], 168 ^ []))], (173 ^ _24150) ^ [] : [in(167 ^ [], 169 ^ [])], (44 ^ _24150) ^ [_25673, _25675, _25677, _25679] : [-(set_intersection2(_25679, _25675) = set_intersection2(_25677, _25673)), _25679 = _25677, _25675 = _25673], (54 ^ _24150) ^ [_26012, _26014, _26016, _26018] : [-(unordered_pair(_26018, _26014) = unordered_pair(_26016, _26012)), _26018 = _26016, _26014 = _26012], (2 ^ _24150) ^ [_24294] : [-(_24294 = _24294)], (4 ^ _24150) ^ [_24401, _24403] : [_24403 = _24401, -(_24401 = _24403)], (10 ^ _24150) ^ [_24605, _24607, _24609] : [-(_24609 = _24605), _24609 = _24607, _24607 = _24605], (20 ^ _24150) ^ [_24918, _24920] : [-(empty(_24918)), _24920 = _24918, empty(_24920)], (30 ^ _24150) ^ [_25221, _25223, _25225, _25227] : [-(in(_25225, _25221)), in(_25227, _25223), _25227 = _25225, _25223 = _25221], (64 ^ _24150) ^ [_26349, _26351] : [in(_26351, _26349), in(_26349, _26351)], (70 ^ _24150) ^ [_26545, _26547] : [-(unordered_pair(_26547, _26545) = unordered_pair(_26545, _26547))], (72 ^ _24150) ^ [_26645, _26647] : [-(set_intersection2(_26647, _26645) = set_intersection2(_26645, _26647))], (96 ^ _24150) ^ [_27528, _27530, _27532] : [-(_27528 = unordered_pair(_27532, _27530)), 100 ^ _24150 : [(101 ^ _24150) ^ [] : [-(in(97 ^ [_27528, _27530, _27532], _27528))], (103 ^ _24150) ^ [] : [97 ^ [_27528, _27530, _27532] = _27532], (105 ^ _24150) ^ [] : [97 ^ [_27528, _27530, _27532] = _27530]], 106 ^ _24150 : [(113 ^ _24150) ^ [] : [in(97 ^ [_27528, _27530, _27532], _27528)], (107 ^ _24150) ^ [] : [-(97 ^ [_27528, _27530, _27532] = _27532), -(97 ^ [_27528, _27530, _27532] = _27530)]]], (74 ^ _24150) ^ [_26803, _26805, _26807] : [_26803 = unordered_pair(_26807, _26805), 77 ^ _24150 : [(88 ^ _24150) ^ [_27263] : [89 ^ _24150 : [(90 ^ _24150) ^ [] : [_27263 = _26807], (92 ^ _24150) ^ [] : [_27263 = _26805]], -(in(_27263, _26803))], (78 ^ _24150) ^ [_26985] : [in(_26985, _26803), -(_26985 = _26807), -(_26985 = _26805)]]], (160 ^ _24150) ^ [_29785, _29787] : [-(set_intersection2(_29787, _29787) = _29787)], (163 ^ _24150) ^ [] : [-(empty(161 ^ []))], (166 ^ _24150) ^ [] : [empty(164 ^ [])], (139 ^ _24150) ^ [_29047, _29049, _29051] : [-(_29047 = set_intersection2(_29051, _29049)), 151 ^ _24150 : [(152 ^ _24150) ^ [] : [-(in(140 ^ [_29047, _29049, _29051], _29051))], (154 ^ _24150) ^ [] : [-(in(140 ^ [_29047, _29049, _29051], _29049))], (156 ^ _24150) ^ [] : [in(140 ^ [_29047, _29049, _29051], _29047)]], 143 ^ _24150 : [(144 ^ _24150) ^ [] : [-(in(140 ^ [_29047, _29049, _29051], _29047))], (146 ^ _24150) ^ [] : [in(140 ^ [_29047, _29049, _29051], _29051), in(140 ^ [_29047, _29049, _29051], _29049)]]], (117 ^ _24150) ^ [_28322, _28324, _28326] : [_28322 = set_intersection2(_28326, _28324), 120 ^ _24150 : [(121 ^ _24150) ^ [_28504] : [in(_28504, _28322), 124 ^ _24150 : [(125 ^ _24150) ^ [] : [-(in(_28504, _28326))], (127 ^ _24150) ^ [] : [-(in(_28504, _28324))]]], (129 ^ _24150) ^ [_28763] : [-(in(_28763, _28322)), in(_28763, _28326), in(_28763, _28324)]]]], input).
% 0.32/1.37  ncf('1',plain,[in(167 ^ [], 169 ^ [])],start(173 ^ 0)).
% 0.32/1.37  ncf('1.1',plain,[-(in(167 ^ [], 169 ^ [])), 121 : in(167 ^ [], set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ [])), 121 : set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ []) = set_intersection2(169 ^ [], unordered_pair(167 ^ [], 168 ^ []))],extension(117 ^ 1,bind([[_28322, _28324, _28326, _28504], [set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ []), unordered_pair(167 ^ [], 168 ^ []), 169 ^ [], 167 ^ []]]))).
% 0.32/1.37  ncf('1.1.1',plain,[-(in(167 ^ [], set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ []))), 90 : 167 ^ [] = 167 ^ [], 88 : set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ []) = unordered_pair(167 ^ [], 168 ^ [])],extension(74 ^ 4,bind([[_26803, _26805, _26807, _27263], [set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ []), 168 ^ [], 167 ^ [], 167 ^ []]]))).
% 0.32/1.37  ncf('1.1.1.1',plain,[-(167 ^ [] = 167 ^ [])],extension(2 ^ 9,bind([[_24294], [167 ^ []]]))).
% 0.32/1.37  ncf('1.1.1.2',plain,[-(set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ []) = unordered_pair(167 ^ [], 168 ^ []))],extension(171 ^ 5)).
% 0.32/1.37  ncf('1.1.2',plain,[-(set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ []) = set_intersection2(169 ^ [], unordered_pair(167 ^ [], 168 ^ []))), set_intersection2(169 ^ [], unordered_pair(167 ^ [], 168 ^ [])) = set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ [])],extension(4 ^ 2,bind([[_24401, _24403], [set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ []), set_intersection2(169 ^ [], unordered_pair(167 ^ [], 168 ^ []))]]))).
% 0.32/1.37  ncf('1.1.2.1',plain,[-(set_intersection2(169 ^ [], unordered_pair(167 ^ [], 168 ^ [])) = set_intersection2(unordered_pair(167 ^ [], 168 ^ []), 169 ^ []))],extension(72 ^ 3,bind([[_26645, _26647], [unordered_pair(167 ^ [], 168 ^ []), 169 ^ []]]))).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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