TSTP Solution File: SET599+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 0.31s 1.38s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n018.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 19:19:27 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.31/1.38  
% 0.31/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  ncf(matrix, plain, [(158 ^ _25583) ^ [] : [subset(difference(155 ^ [], 156 ^ []), symmetric_difference(155 ^ [], 156 ^ []))], (78 ^ _25583) ^ [_28279, _28281] : [-(symmetric_difference(_28281, _28279) = union(difference(_28281, _28279), difference(_28279, _28281)))], (80 ^ _25583) ^ [_28385, _28387] : [-(subset(_28387, union(_28387, _28385)))], (82 ^ _25583) ^ [_28540, _28542, _28544] : [member(_28540, difference(_28544, _28542)), 85 ^ _25583 : [(86 ^ _25583) ^ [] : [-(member(_28540, _28544))], (88 ^ _25583) ^ [] : [member(_28540, _28542)]]], (90 ^ _25583) ^ [_28792, _28794, _28796] : [-(member(_28792, difference(_28796, _28794))), member(_28792, _28796), -(member(_28792, _28794))], (110 ^ _25583) ^ [_29455, _29457] : [112 ^ _25583 : [(113 ^ _25583) ^ [] : [-(member(111 ^ [_29455, _29457], _29457))], (115 ^ _25583) ^ [] : [member(111 ^ [_29455, _29457], _29455)]], -(subset(_29457, _29455))], (100 ^ _25583) ^ [_29141, _29143] : [subset(_29143, _29141), 103 ^ _25583 : [(104 ^ _25583) ^ [_29278] : [member(_29278, _29143), -(member(_29278, _29141))]]], (119 ^ _25583) ^ [_29797, _29799] : [-(union(_29799, _29797) = union(_29797, _29799))], (121 ^ _25583) ^ [_29897, _29899] : [-(symmetric_difference(_29899, _29897) = symmetric_difference(_29897, _29899))], (154 ^ _25583) ^ [_31041] : [-(subset(_31041, _31041))], (139 ^ _25583) ^ [_30558, _30560] : [-(_30560 = _30558), 143 ^ _25583 : [(144 ^ _25583) ^ [] : [-(member(140 ^ [_30558, _30560], _30560))], (146 ^ _25583) ^ [] : [member(140 ^ [_30558, _30560], _30558)]], 147 ^ _25583 : [(148 ^ _25583) ^ [] : [-(member(140 ^ [_30558, _30560], _30558))], (150 ^ _25583) ^ [] : [member(140 ^ [_30558, _30560], _30560)]]], (123 ^ _25583) ^ [_30041, _30043] : [_30043 = _30041, 126 ^ _25583 : [(127 ^ _25583) ^ [_30207] : [member(_30207, _30043), -(member(_30207, _30041))], (133 ^ _25583) ^ [_30379] : [member(_30379, _30041), -(member(_30379, _30043))]]], (48 ^ _25583) ^ [_27255, _27257, _27259, _27261] : [-(union(_27261, _27257) = union(_27259, _27255)), _27261 = _27259, _27257 = _27255], (58 ^ _25583) ^ [_27614, _27616, _27618, _27620] : [-(difference(_27620, _27616) = difference(_27618, _27614)), _27620 = _27618, _27616 = _27614], (68 ^ _25583) ^ [_27953, _27955, _27957, _27959] : [-(symmetric_difference(_27959, _27955) = symmetric_difference(_27957, _27953)), _27959 = _27957, _27955 = _27953], (2 ^ _25583) ^ [_25727] : [-(_25727 = _25727)], (4 ^ _25583) ^ [_25834, _25836] : [_25836 = _25834, -(_25834 = _25836)], (10 ^ _25583) ^ [_26038, _26040, _26042] : [-(_26042 = _26038), _26042 = _26040, _26040 = _26038], (20 ^ _25583) ^ [_26379, _26381, _26383, _26385] : [-(member(_26383, _26379)), member(_26385, _26381), _26385 = _26383, _26381 = _26379], (34 ^ _25583) ^ [_26803, _26805, _26807, _26809] : [-(subset(_26807, _26803)), subset(_26809, _26805), _26809 = _26807, _26805 = _26803]], input).
% 0.31/1.38  ncf('1',plain,[subset(difference(155 ^ [], 156 ^ []), symmetric_difference(155 ^ [], 156 ^ []))],start(158 ^ 0)).
% 0.31/1.38  ncf('1.1',plain,[-(subset(difference(155 ^ [], 156 ^ []), symmetric_difference(155 ^ [], 156 ^ []))), subset(difference(155 ^ [], 156 ^ []), union(difference(155 ^ [], 156 ^ []), difference(156 ^ [], 155 ^ []))), difference(155 ^ [], 156 ^ []) = difference(155 ^ [], 156 ^ []), union(difference(155 ^ [], 156 ^ []), difference(156 ^ [], 155 ^ [])) = symmetric_difference(155 ^ [], 156 ^ [])],extension(34 ^ 1,bind([[_26803, _26805, _26807, _26809], [symmetric_difference(155 ^ [], 156 ^ []), union(difference(155 ^ [], 156 ^ []), difference(156 ^ [], 155 ^ [])), difference(155 ^ [], 156 ^ []), difference(155 ^ [], 156 ^ [])]]))).
% 0.31/1.38  ncf('1.1.1',plain,[-(subset(difference(155 ^ [], 156 ^ []), union(difference(155 ^ [], 156 ^ []), difference(156 ^ [], 155 ^ []))))],extension(80 ^ 2,bind([[_28385, _28387], [difference(156 ^ [], 155 ^ []), difference(155 ^ [], 156 ^ [])]]))).
% 0.31/1.38  ncf('1.1.2',plain,[-(difference(155 ^ [], 156 ^ []) = difference(155 ^ [], 156 ^ [])), 144 : -(member(140 ^ [difference(155 ^ [], 156 ^ []), difference(155 ^ [], 156 ^ [])], difference(155 ^ [], 156 ^ []))), 148 : -(member(140 ^ [difference(155 ^ [], 156 ^ []), difference(155 ^ [], 156 ^ [])], difference(155 ^ [], 156 ^ [])))],extension(139 ^ 2,bind([[_30558, _30560], [difference(155 ^ [], 156 ^ []), difference(155 ^ [], 156 ^ [])]]))).
% 0.31/1.38  ncf('1.1.2.1',plain,[member(140 ^ [difference(155 ^ [], 156 ^ []), difference(155 ^ [], 156 ^ [])], difference(155 ^ [], 156 ^ []))],extension(146 ^ 5)).
% 0.31/1.38  ncf('1.1.2.2',plain,[member(140 ^ [difference(155 ^ [], 156 ^ []), difference(155 ^ [], 156 ^ [])], difference(155 ^ [], 156 ^ []))],extension(150 ^ 5)).
% 0.31/1.38  ncf('1.1.3',plain,[-(union(difference(155 ^ [], 156 ^ []), difference(156 ^ [], 155 ^ [])) = symmetric_difference(155 ^ [], 156 ^ [])), symmetric_difference(155 ^ [], 156 ^ []) = union(difference(155 ^ [], 156 ^ []), difference(156 ^ [], 155 ^ []))],extension(4 ^ 2,bind([[_25834, _25836], [union(difference(155 ^ [], 156 ^ []), difference(156 ^ [], 155 ^ [])), symmetric_difference(155 ^ [], 156 ^ [])]]))).
% 0.31/1.38  ncf('1.1.3.1',plain,[-(symmetric_difference(155 ^ [], 156 ^ []) = union(difference(155 ^ [], 156 ^ []), difference(156 ^ [], 155 ^ [])))],extension(78 ^ 3,bind([[_28279, _28281], [156 ^ [], 155 ^ []]]))).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------