TSTP Solution File: SEU263+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 12:02:55 EDT 2023

% Result   : Theorem 0.17s 1.30s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.08  % Command  : nanocop.sh %s %d
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Thu May 18 13:16:34 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.17/1.30  
% 0.17/1.30  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.17/1.30  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/1.30  %-----------------------------------------------------
% 0.17/1.30  ncf(matrix, plain, [(135 ^ _23001) ^ [] : [-(relation_of2_as_subset(133 ^ [], 132 ^ [], 130 ^ []))], (137 ^ _23001) ^ [] : [-(subset(relation_rng(133 ^ []), 131 ^ []))], (139 ^ _23001) ^ [] : [relation_of2_as_subset(133 ^ [], 132 ^ [], 131 ^ [])], (2 ^ _23001) ^ [_23128, _23130, _23132] : [element(_23128, powerset(cartesian_product2(_23132, _23130))), -(relation(_23128))], (8 ^ _23001) ^ [_23395, _23397, _23399] : [relation_of2(_23395, _23399, _23397), -(subset(_23395, cartesian_product2(_23399, _23397)))], (14 ^ _23001) ^ [_23571, _23573, _23575] : [subset(_23571, cartesian_product2(_23575, _23573)), -(relation_of2(_23571, _23575, _23573))], (20 ^ _23001) ^ [] : [true___, -(true___)], (26 ^ _23001) ^ [] : [true___, -(true___)], (32 ^ _23001) ^ [] : [true___, -(true___)], (38 ^ _23001) ^ [] : [true___, -(true___)], (44 ^ _23001) ^ [] : [true___, -(true___)], (50 ^ _23001) ^ [] : [true___, -(true___)], (56 ^ _23001) ^ [_24525, _24527, _24529] : [relation_of2_as_subset(_24525, _24529, _24527), -(element(_24525, powerset(cartesian_product2(_24529, _24527))))], (63 ^ _23001) ^ [_24780, _24782] : [-(relation_of2(61 ^ [_24780, _24782], _24782, _24780))], (66 ^ _23001) ^ [_24907] : [-(element(64 ^ [_24907], _24907))], (69 ^ _23001) ^ [_25046, _25048] : [-(relation_of2_as_subset(67 ^ [_25046, _25048], _25048, _25046))], (71 ^ _23001) ^ [_25206, _25208, _25210] : [relation_of2_as_subset(_25206, _25210, _25208), -(relation_of2(_25206, _25210, _25208))], (77 ^ _23001) ^ [_25378, _25380, _25382] : [relation_of2(_25378, _25382, _25380), -(relation_of2_as_subset(_25378, _25382, _25380))], (83 ^ _23001) ^ [_25585, _25587] : [-(subset(_25587, _25587))], (85 ^ _23001) ^ [_25722, _25724, _25726, _25728] : [-(subset(cartesian_product2(_25728, _25724), cartesian_product2(_25726, _25722))), subset(_25728, _25726), subset(_25724, _25722)], (95 ^ _23001) ^ [_26067, _26069, _26071] : [relation_of2_as_subset(_26067, _26071, _26069), 98 ^ _23001 : [(99 ^ _23001) ^ [] : [-(subset(relation_dom(_26067), _26071))], (101 ^ _23001) ^ [] : [-(subset(relation_rng(_26067), _26069))]]], (103 ^ _23001) ^ [_26384, _26386, _26388] : [-(subset(_26388, _26384)), subset(_26388, _26386), subset(_26386, _26384)], (113 ^ _23001) ^ [_26679] : [relation(_26679), -(subset(_26679, cartesian_product2(relation_dom(_26679), relation_rng(_26679))))], (119 ^ _23001) ^ [_26904, _26906] : [element(_26906, powerset(_26904)), -(subset(_26906, _26904))], (125 ^ _23001) ^ [_27070, _27072] : [subset(_27072, _27070), -(element(_27072, powerset(_27070)))]], input).
% 0.17/1.30  ncf('1',plain,[relation_of2_as_subset(133 ^ [], 132 ^ [], 131 ^ [])],start(139 ^ 0)).
% 0.17/1.30  ncf('1.1',plain,[-(relation_of2_as_subset(133 ^ [], 132 ^ [], 131 ^ [])), relation_of2(133 ^ [], 132 ^ [], 131 ^ [])],extension(77 ^ 1,bind([[_25378, _25380, _25382], [133 ^ [], 131 ^ [], 132 ^ []]]))).
% 0.17/1.30  ncf('1.1.1',plain,[-(relation_of2(133 ^ [], 132 ^ [], 131 ^ [])), subset(133 ^ [], cartesian_product2(132 ^ [], 131 ^ []))],extension(14 ^ 2,bind([[_23571, _23573, _23575], [133 ^ [], 131 ^ [], 132 ^ []]]))).
% 0.17/1.30  ncf('1.1.1.1',plain,[-(subset(133 ^ [], cartesian_product2(132 ^ [], 131 ^ []))), subset(133 ^ [], cartesian_product2(relation_dom(133 ^ []), relation_rng(133 ^ []))), subset(cartesian_product2(relation_dom(133 ^ []), relation_rng(133 ^ [])), cartesian_product2(132 ^ [], 131 ^ []))],extension(103 ^ 3,bind([[_26384, _26386, _26388], [cartesian_product2(132 ^ [], 131 ^ []), cartesian_product2(relation_dom(133 ^ []), relation_rng(133 ^ [])), 133 ^ []]]))).
% 0.17/1.30  ncf('1.1.1.1.1',plain,[-(subset(133 ^ [], cartesian_product2(relation_dom(133 ^ []), relation_rng(133 ^ [])))), relation(133 ^ [])],extension(113 ^ 4,bind([[_26679], [133 ^ []]]))).
% 0.17/1.30  ncf('1.1.1.1.1.1',plain,[-(relation(133 ^ [])), element(133 ^ [], powerset(cartesian_product2(132 ^ [], 130 ^ [])))],extension(2 ^ 5,bind([[_23128, _23130, _23132], [133 ^ [], 130 ^ [], 132 ^ []]]))).
% 0.17/1.30  ncf('1.1.1.1.1.1.1',plain,[-(element(133 ^ [], powerset(cartesian_product2(132 ^ [], 130 ^ [])))), relation_of2_as_subset(133 ^ [], 132 ^ [], 130 ^ [])],extension(56 ^ 6,bind([[_24525, _24527, _24529], [133 ^ [], 130 ^ [], 132 ^ []]]))).
% 0.17/1.30  ncf('1.1.1.1.1.1.1.1',plain,[-(relation_of2_as_subset(133 ^ [], 132 ^ [], 130 ^ []))],extension(135 ^ 7)).
% 0.17/1.30  ncf('1.1.1.1.2',plain,[-(subset(cartesian_product2(relation_dom(133 ^ []), relation_rng(133 ^ [])), cartesian_product2(132 ^ [], 131 ^ []))), subset(relation_dom(133 ^ []), 132 ^ []), subset(relation_rng(133 ^ []), 131 ^ [])],extension(85 ^ 4,bind([[_25722, _25724, _25726, _25728], [131 ^ [], relation_rng(133 ^ []), 132 ^ [], relation_dom(133 ^ [])]]))).
% 0.17/1.30  ncf('1.1.1.1.2.1',plain,[-(subset(relation_dom(133 ^ []), 132 ^ [])), relation_of2_as_subset(133 ^ [], 132 ^ [], 130 ^ [])],extension(95 ^ 5,bind([[_26067, _26069, _26071], [133 ^ [], 130 ^ [], 132 ^ []]]))).
% 0.17/1.30  ncf('1.1.1.1.2.1.1',plain,[-(relation_of2_as_subset(133 ^ [], 132 ^ [], 130 ^ []))],extension(135 ^ 6)).
% 0.17/1.30  ncf('1.1.1.1.2.2',plain,[-(subset(relation_rng(133 ^ []), 131 ^ []))],extension(137 ^ 5)).
% 0.17/1.30  %-----------------------------------------------------
% 0.17/1.30  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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