TSTP Solution File: SET962+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET962+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 11:56:44 EDT 2023
% Result : Theorem 101.93s 98.79s
% Output : Proof 101.93s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET962+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.13/0.14 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 18:47:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 101.93/98.79
% 101.93/98.79 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.93/98.79 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.93/98.79 %-----------------------------------------------------
% 101.93/98.79 ncf(matrix, plain, [(133 ^ _26467) ^ [] : [-(cartesian_product2(130 ^ [], 130 ^ []) = cartesian_product2(131 ^ [], 131 ^ []))], (135 ^ _26467) ^ [] : [130 ^ [] = 131 ^ []], (80 ^ _26467) ^ [_29251, _29253] : [in(_29253, _29251), in(_29251, _29253)], (86 ^ _26467) ^ [_29447, _29449] : [-(unordered_pair(_29449, _29447) = unordered_pair(_29447, _29449))], (88 ^ _26467) ^ [_29547, _29549] : [-(ordered_pair(_29549, _29547) = unordered_pair(unordered_pair(_29549, _29547), singleton(_29549)))], (90 ^ _26467) ^ [_29651, _29653] : [empty(ordered_pair(_29653, _29651))], (111 ^ _26467) ^ [] : [-(empty(109 ^ []))], (114 ^ _26467) ^ [] : [empty(112 ^ [])], (116 ^ _26467) ^ [_30576, _30578] : [-(_30578 = _30576), 120 ^ _26467 : [(121 ^ _26467) ^ [] : [-(in(117 ^ [_30576, _30578], _30578))], (123 ^ _26467) ^ [] : [in(117 ^ [_30576, _30578], _30576)]], 124 ^ _26467 : [(125 ^ _26467) ^ [] : [-(in(117 ^ [_30576, _30578], _30576))], (127 ^ _26467) ^ [] : [in(117 ^ [_30576, _30578], _30578)]]], (92 ^ _26467) ^ [_29819, _29821, _29823, _29825] : [in(ordered_pair(_29825, _29823), cartesian_product2(_29821, _29819)), 95 ^ _26467 : [(96 ^ _26467) ^ [] : [-(in(_29825, _29821))], (98 ^ _26467) ^ [] : [-(in(_29823, _29819))]]], (100 ^ _26467) ^ [_30084, _30086, _30088, _30090] : [-(in(ordered_pair(_30090, _30088), cartesian_product2(_30086, _30084))), in(_30090, _30086), in(_30088, _30084)], (44 ^ _26467) ^ [_27990, _27992, _27994, _27996] : [-(unordered_pair(_27996, _27992) = unordered_pair(_27994, _27990)), _27996 = _27994, _27992 = _27990], (54 ^ _26467) ^ [_28321, _28323] : [_28323 = _28321, -(singleton(_28323) = singleton(_28321))], (60 ^ _26467) ^ [_28567, _28569, _28571, _28573] : [-(ordered_pair(_28573, _28569) = ordered_pair(_28571, _28567)), _28573 = _28571, _28569 = _28567], (70 ^ _26467) ^ [_28906, _28908, _28910, _28912] : [-(cartesian_product2(_28912, _28908) = cartesian_product2(_28910, _28906)), _28912 = _28910, _28908 = _28906], (2 ^ _26467) ^ [_26611] : [-(_26611 = _26611)], (4 ^ _26467) ^ [_26718, _26720] : [_26720 = _26718, -(_26718 = _26720)], (10 ^ _26467) ^ [_26922, _26924, _26926] : [-(_26926 = _26922), _26926 = _26924, _26924 = _26922], (20 ^ _26467) ^ [_27235, _27237] : [-(empty(_27235)), _27237 = _27235, empty(_27237)], (30 ^ _26467) ^ [_27538, _27540, _27542, _27544] : [-(in(_27542, _27538)), in(_27544, _27540), _27544 = _27542, _27540 = _27538]], input).
% 101.93/98.79 ncf('1',plain,[130 ^ [] = 131 ^ []],start(135 ^ 0)).
% 101.93/98.79 ncf('1.1',plain,[-(130 ^ [] = 131 ^ []), 121 : -(in(117 ^ [131 ^ [], 130 ^ []], 130 ^ [])), 125 : -(in(117 ^ [131 ^ [], 130 ^ []], 131 ^ []))],extension(116 ^ 1,bind([[_30576, _30578], [131 ^ [], 130 ^ []]]))).
% 101.93/98.79 ncf('1.1.1',plain,[in(117 ^ [131 ^ [], 130 ^ []], 130 ^ []), -(in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(130 ^ [], 131 ^ []))), in(117 ^ [131 ^ [], 130 ^ []], 131 ^ [])],extension(100 ^ 4,bind([[_30084, _30086, _30088, _30090], [131 ^ [], 130 ^ [], 117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]]]))).
% 101.93/98.79 ncf('1.1.1.1',plain,[in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(130 ^ [], 131 ^ [])), 98 : -(in(117 ^ [131 ^ [], 130 ^ []], 131 ^ []))],extension(92 ^ 5,bind([[_29819, _29821, _29823, _29825], [131 ^ [], 130 ^ [], 117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]]]))).
% 101.93/98.79 ncf('1.1.1.1.1',plain,[in(117 ^ [131 ^ [], 130 ^ []], 131 ^ [])],extension(123 ^ 8)).
% 101.93/98.79 ncf('1.1.1.2',plain,[-(in(117 ^ [131 ^ [], 130 ^ []], 131 ^ [])), in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(131 ^ [], 131 ^ []))],extension(92 ^ 5,bind([[_29819, _29821, _29823, _29825], [131 ^ [], 131 ^ [], 117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]]]))).
% 101.93/98.79 ncf('1.1.1.2.1',plain,[-(in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(131 ^ [], 131 ^ []))), in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(130 ^ [], 130 ^ [])), ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]) = ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(130 ^ [], 130 ^ []) = cartesian_product2(131 ^ [], 131 ^ [])],extension(30 ^ 6,bind([[_27538, _27540, _27542, _27544], [cartesian_product2(131 ^ [], 131 ^ []), cartesian_product2(130 ^ [], 130 ^ []), ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []])]]))).
% 101.93/98.79 ncf('1.1.1.2.1.1',plain,[-(in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(130 ^ [], 130 ^ []))), in(117 ^ [131 ^ [], 130 ^ []], 130 ^ []), in(117 ^ [131 ^ [], 130 ^ []], 130 ^ [])],extension(100 ^ 7,bind([[_30084, _30086, _30088, _30090], [130 ^ [], 130 ^ [], 117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]]]))).
% 101.93/98.79 ncf('1.1.1.2.1.1.1',plain,[-(in(117 ^ [131 ^ [], 130 ^ []], 130 ^ []))],reduction('1.1')).
% 101.93/98.79 ncf('1.1.1.2.1.1.2',plain,[-(in(117 ^ [131 ^ [], 130 ^ []], 130 ^ []))],reduction('1.1')).
% 101.93/98.79 ncf('1.1.1.2.1.2',plain,[-(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]) = ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]))],extension(2 ^ 7,bind([[_26611], [ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []])]]))).
% 101.93/98.79 ncf('1.1.1.2.1.3',plain,[-(cartesian_product2(130 ^ [], 130 ^ []) = cartesian_product2(131 ^ [], 131 ^ []))],extension(133 ^ 7)).
% 101.93/98.79 ncf('1.1.2',plain,[in(117 ^ [131 ^ [], 130 ^ []], 131 ^ []), -(in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(131 ^ [], 130 ^ []))), in(117 ^ [131 ^ [], 130 ^ []], 130 ^ [])],extension(100 ^ 4,bind([[_30084, _30086, _30088, _30090], [130 ^ [], 131 ^ [], 117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]]]))).
% 101.93/98.79 ncf('1.1.2.1',plain,[in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(131 ^ [], 130 ^ [])), 98 : -(in(117 ^ [131 ^ [], 130 ^ []], 130 ^ []))],extension(92 ^ 5,bind([[_29819, _29821, _29823, _29825], [130 ^ [], 131 ^ [], 117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]]]))).
% 101.93/98.79 ncf('1.1.2.1.1',plain,[in(117 ^ [131 ^ [], 130 ^ []], 130 ^ [])],extension(127 ^ 8)).
% 101.93/98.79 ncf('1.1.2.2',plain,[-(in(117 ^ [131 ^ [], 130 ^ []], 130 ^ [])), in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(130 ^ [], 130 ^ []))],extension(92 ^ 5,bind([[_29819, _29821, _29823, _29825], [130 ^ [], 130 ^ [], 117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]]]))).
% 101.93/98.79 ncf('1.1.2.2.1',plain,[-(in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(130 ^ [], 130 ^ []))), in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(131 ^ [], 131 ^ [])), ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]) = ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(131 ^ [], 131 ^ []) = cartesian_product2(130 ^ [], 130 ^ [])],extension(30 ^ 6,bind([[_27538, _27540, _27542, _27544], [cartesian_product2(130 ^ [], 130 ^ []), cartesian_product2(131 ^ [], 131 ^ []), ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []])]]))).
% 101.93/98.79 ncf('1.1.2.2.1.1',plain,[-(in(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]), cartesian_product2(131 ^ [], 131 ^ []))), in(117 ^ [131 ^ [], 130 ^ []], 131 ^ []), in(117 ^ [131 ^ [], 130 ^ []], 131 ^ [])],extension(100 ^ 7,bind([[_30084, _30086, _30088, _30090], [131 ^ [], 131 ^ [], 117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]]]))).
% 101.93/98.79 ncf('1.1.2.2.1.1.1',plain,[-(in(117 ^ [131 ^ [], 130 ^ []], 131 ^ []))],reduction('1.1')).
% 101.93/98.79 ncf('1.1.2.2.1.1.2',plain,[-(in(117 ^ [131 ^ [], 130 ^ []], 131 ^ []))],reduction('1.1')).
% 101.93/98.79 ncf('1.1.2.2.1.2',plain,[-(ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]) = ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []]))],extension(2 ^ 7,bind([[_26611], [ordered_pair(117 ^ [131 ^ [], 130 ^ []], 117 ^ [131 ^ [], 130 ^ []])]]))).
% 101.93/98.79 ncf('1.1.2.2.1.3',plain,[-(cartesian_product2(131 ^ [], 131 ^ []) = cartesian_product2(130 ^ [], 130 ^ [])), cartesian_product2(130 ^ [], 130 ^ []) = cartesian_product2(131 ^ [], 131 ^ [])],extension(4 ^ 7,bind([[_26718, _26720], [cartesian_product2(131 ^ [], 131 ^ []), cartesian_product2(130 ^ [], 130 ^ [])]]))).
% 101.93/98.79 ncf('1.1.2.2.1.3.1',plain,[-(cartesian_product2(130 ^ [], 130 ^ []) = cartesian_product2(131 ^ [], 131 ^ []))],extension(133 ^ 8)).
% 101.93/98.79 %-----------------------------------------------------
% 101.93/98.79 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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