TSTP Solution File: SEU320+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU320+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 12:03:07 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU320+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.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 13:58:20 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(204 ^ _32208) ^ [] : [-(top_str(202 ^ []))], (207 ^ _32208) ^ [] : [-(element(205 ^ [], powerset(the_carrier(202 ^ []))))], (209 ^ _32208) ^ [] : [210 ^ _32208 : [(211 ^ _32208) ^ [] : [-(open_subset(205 ^ [], 202 ^ []))], (213 ^ _32208) ^ [] : [closed_subset(subset_complement(the_carrier(202 ^ []), 205 ^ []), 202 ^ [])]], 214 ^ _32208 : [(215 ^ _32208) ^ [] : [-(closed_subset(subset_complement(the_carrier(202 ^ []), 205 ^ []), 202 ^ []))], (217 ^ _32208) ^ [] : [open_subset(205 ^ [], 202 ^ [])]]], (118 ^ _32208) ^ [] : [true___, -(true___)], (124 ^ _32208) ^ [_36242, _36244] : [element(_36242, powerset(_36244)), -(element(subset_complement(_36244, _36242), powerset(_36244)))], (130 ^ _32208) ^ [_36452] : [top_str(_36452), -(one_sorted_str(_36452))], (136 ^ _32208) ^ [] : [true___, -(true___)], (142 ^ _32208) ^ [] : [true___, -(true___)], (148 ^ _32208) ^ [] : [true___, -(true___)], (155 ^ _32208) ^ [] : [-(top_str(153 ^ []))], (158 ^ _32208) ^ [] : [-(one_sorted_str(156 ^ []))], (161 ^ _32208) ^ [_37197] : [-(element(159 ^ [_37197], _37197))], (163 ^ _32208) ^ [_37309, _37311] : [element(_37309, powerset(_37311)), -(subset_complement(_37311, subset_complement(_37311, _37309)) = _37309)], (169 ^ _32208) ^ [_37520, _37522] : [-(subset(_37522, _37522))], (191 ^ _32208) ^ [_38260, _38262] : [element(_38262, powerset(_38260)), -(subset(_38262, _38260))], (197 ^ _32208) ^ [_38426, _38428] : [subset(_38428, _38426), -(element(_38428, powerset(_38426)))], (171 ^ _32208) ^ [_37615] : [top_str(_37615), 174 ^ _32208 : [(175 ^ _32208) ^ [_37761] : [element(_37761, powerset(the_carrier(_37615))), 178 ^ _32208 : [(179 ^ _32208) ^ [] : [closed_subset(_37761, _37615), -(open_subset(subset_complement(the_carrier(_37615), _37761), _37615))], (185 ^ _32208) ^ [] : [open_subset(subset_complement(the_carrier(_37615), _37761), _37615), -(closed_subset(_37761, _37615))]]]]], (96 ^ _32208) ^ [_35338, _35340] : [_35340 = _35338, -(powerset(_35340) = powerset(_35338))], (112 ^ _32208) ^ [_35895, _35897] : [_35897 = _35895, -(the_carrier(_35897) = the_carrier(_35895))], (102 ^ _32208) ^ [_35584, _35586, _35588, _35590] : [-(subset_complement(_35590, _35586) = subset_complement(_35588, _35584)), _35590 = _35588, _35586 = _35584], (2 ^ _32208) ^ [_32352] : [-(_32352 = _32352)], (4 ^ _32208) ^ [_32459, _32461] : [_32461 = _32459, -(_32459 = _32461)], (10 ^ _32208) ^ [_32663, _32665, _32667] : [-(_32667 = _32663), _32667 = _32665, _32665 = _32663], (20 ^ _32208) ^ [_32976, _32978] : [-(one_sorted_str(_32976)), _32978 = _32976, one_sorted_str(_32978)], (30 ^ _32208) ^ [_33299, _33301, _33303, _33305] : [-(subset(_33303, _33299)), subset(_33305, _33301), _33305 = _33303, _33301 = _33299], (44 ^ _32208) ^ [_33715, _33717] : [-(top_str(_33715)), _33717 = _33715, top_str(_33717)], (54 ^ _32208) ^ [_34038, _34040, _34042, _34044] : [-(element(_34042, _34038)), element(_34044, _34040), _34044 = _34042, _34040 = _34038], (68 ^ _32208) ^ [_34482, _34484, _34486, _34488] : [-(open_subset(_34486, _34482)), open_subset(_34488, _34484), _34488 = _34486, _34484 = _34482], (82 ^ _32208) ^ [_34906, _34908, _34910, _34912] : [-(closed_subset(_34910, _34906)), closed_subset(_34912, _34908), _34912 = _34910, _34908 = _34906]], input).
% 0.34/1.37  ncf('1',plain,[213 : closed_subset(subset_complement(the_carrier(202 ^ []), 205 ^ []), 202 ^ []), 217 : open_subset(205 ^ [], 202 ^ [])],start(209 ^ 0)).
% 0.34/1.37  ncf('1.1',plain,[-(closed_subset(subset_complement(the_carrier(202 ^ []), 205 ^ []), 202 ^ [])), 185 : open_subset(subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ [])), 202 ^ []), 185 : element(subset_complement(the_carrier(202 ^ []), 205 ^ []), powerset(the_carrier(202 ^ []))), 175 : top_str(202 ^ [])],extension(171 ^ 3,bind([[_37615, _37761], [202 ^ [], subset_complement(the_carrier(202 ^ []), 205 ^ [])]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(open_subset(subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ [])), 202 ^ [])), open_subset(205 ^ [], 202 ^ []), 205 ^ [] = subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ [])), 202 ^ [] = 202 ^ []],extension(68 ^ 8,bind([[_34482, _34484, _34486, _34488], [202 ^ [], 202 ^ [], subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ [])), 205 ^ []]]))).
% 0.34/1.37  ncf('1.1.1.1',plain,[-(open_subset(205 ^ [], 202 ^ []))],extension(211 ^ 9)).
% 0.34/1.37  ncf('1.1.1.2',plain,[-(205 ^ [] = subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ []))), subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ [])) = 205 ^ []],extension(4 ^ 9,bind([[_32459, _32461], [205 ^ [], subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ []))]]))).
% 0.34/1.37  ncf('1.1.1.2.1',plain,[-(subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ [])) = 205 ^ []), element(205 ^ [], powerset(the_carrier(202 ^ [])))],extension(163 ^ 10,bind([[_37309, _37311], [205 ^ [], the_carrier(202 ^ [])]]))).
% 0.34/1.37  ncf('1.1.1.2.1.1',plain,[-(element(205 ^ [], powerset(the_carrier(202 ^ []))))],extension(207 ^ 11)).
% 0.34/1.37  ncf('1.1.1.3',plain,[-(202 ^ [] = 202 ^ [])],extension(2 ^ 9,bind([[_32352], [202 ^ []]]))).
% 0.34/1.37  ncf('1.1.2',plain,[-(element(subset_complement(the_carrier(202 ^ []), 205 ^ []), powerset(the_carrier(202 ^ [])))), element(205 ^ [], powerset(the_carrier(202 ^ [])))],extension(124 ^ 6,bind([[_36242, _36244], [205 ^ [], the_carrier(202 ^ [])]]))).
% 0.34/1.37  ncf('1.1.2.1',plain,[-(element(205 ^ [], powerset(the_carrier(202 ^ []))))],extension(207 ^ 7)).
% 0.34/1.37  ncf('1.1.3',plain,[-(top_str(202 ^ []))],extension(204 ^ 4)).
% 0.34/1.37  ncf('1.2',plain,[-(open_subset(205 ^ [], 202 ^ [])), open_subset(subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ [])), 202 ^ []), subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ [])) = 205 ^ [], 202 ^ [] = 202 ^ []],extension(68 ^ 3,bind([[_34482, _34484, _34486, _34488], [202 ^ [], 202 ^ [], 205 ^ [], subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ []))]]))).
% 0.34/1.37  ncf('1.2.1',plain,[-(open_subset(subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ [])), 202 ^ [])), 179 : closed_subset(subset_complement(the_carrier(202 ^ []), 205 ^ []), 202 ^ []), 179 : element(subset_complement(the_carrier(202 ^ []), 205 ^ []), powerset(the_carrier(202 ^ []))), 175 : top_str(202 ^ [])],extension(171 ^ 4,bind([[_37615, _37761], [202 ^ [], subset_complement(the_carrier(202 ^ []), 205 ^ [])]]))).
% 0.34/1.37  ncf('1.2.1.1',plain,[-(closed_subset(subset_complement(the_carrier(202 ^ []), 205 ^ []), 202 ^ []))],extension(215 ^ 9)).
% 0.34/1.37  ncf('1.2.1.2',plain,[-(element(subset_complement(the_carrier(202 ^ []), 205 ^ []), powerset(the_carrier(202 ^ [])))), element(205 ^ [], powerset(the_carrier(202 ^ [])))],extension(124 ^ 7,bind([[_36242, _36244], [205 ^ [], the_carrier(202 ^ [])]]))).
% 0.34/1.37  ncf('1.2.1.2.1',plain,[-(element(205 ^ [], powerset(the_carrier(202 ^ []))))],extension(207 ^ 8)).
% 0.34/1.37  ncf('1.2.1.3',plain,[-(top_str(202 ^ []))],extension(204 ^ 5)).
% 0.34/1.37  ncf('1.2.2',plain,[-(subset_complement(the_carrier(202 ^ []), subset_complement(the_carrier(202 ^ []), 205 ^ [])) = 205 ^ []), element(205 ^ [], powerset(the_carrier(202 ^ [])))],extension(163 ^ 4,bind([[_37309, _37311], [205 ^ [], the_carrier(202 ^ [])]]))).
% 0.34/1.37  ncf('1.2.2.1',plain,[-(element(205 ^ [], powerset(the_carrier(202 ^ []))))],extension(207 ^ 5)).
% 0.34/1.37  ncf('1.2.3',plain,[-(202 ^ [] = 202 ^ [])],extension(2 ^ 4,bind([[_32352], [202 ^ []]]))).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------