TSTP Solution File: ALG073+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : ALG073+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 10:08:00 EDT 2023
% Result : Theorem 227.71s 222.31s
% Output : Proof 227.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ALG073+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.13 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 18 23:33:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 227.71/222.31
% 227.71/222.31 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 227.71/222.31 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 227.71/222.31 %-----------------------------------------------------
% 227.71/222.31 ncf(matrix, plain, [(4 ^ _41600) ^ [_41851, _41853] : [_41853 = _41851, -(_41851 = _41853)], (60 ^ _41600) ^ [_43664, _43666] : [_43666 = _43664, -(j(_43666) = j(_43664))], (30 ^ _41600) ^ [_42643, _42645] : [-(sorti1(_42643)), _42645 = _42643, sorti1(_42645)], (66 ^ _41600) ^ [_43862, _43864] : [_43864 = _43862, -(h(_43864) = h(_43862))], (160 ^ _41600) ^ [_47017] : [sorti1(_47017), -(j(h(_47017)) = _47017)], (154 ^ _41600) ^ [_46841] : [sorti2(_46841), -(h(j(_46841)) = _46841)], (50 ^ _41600) ^ [_43333, _43335, _43337, _43339] : [-(op1(_43339, _43335) = op1(_43337, _43333)), _43339 = _43337, _43335 = _43333], (96 ^ _41600) ^ [] : [-(sorti1(94 ^ []))], (100 ^ _41600) ^ [] : [-(op1(94 ^ [], 94 ^ []) = 91 ^ [])], (144 ^ _41600) ^ [_46474] : [sorti2(_46474), 147 ^ _41600 : [(148 ^ _41600) ^ [_46616] : [sorti2(_46616), -(j(op2(_46474, _46616)) = op1(j(_46474), j(_46616)))]]], (82 ^ _41600) ^ [_44417] : [sorti2(_44417), 85 ^ _41600 : [(86 ^ _41600) ^ [_44549] : [sorti2(_44549), -(sorti2(op2(_44417, _44549)))]]], (134 ^ _41600) ^ [_46107] : [sorti1(_46107), 137 ^ _41600 : [(138 ^ _41600) ^ [_46249] : [sorti1(_46249), -(h(op1(_46107, _46249)) = op2(h(_46107), h(_46249)))]]], (98 ^ _41600) ^ [] : [-(op1(91 ^ [], 91 ^ []) = 94 ^ [])], (93 ^ _41600) ^ [] : [-(sorti1(91 ^ []))], (40 ^ _41600) ^ [_42974, _42976, _42978, _42980] : [-(op2(_42980, _42976) = op2(_42978, _42974)), _42980 = _42978, _42976 = _42974], (104 ^ _41600) ^ [_45143] : [sorti2(_45143), 107 ^ _41600 : [(108 ^ _41600) ^ [_45296] : [sorti2(_45296), op2(_45143, _45143) = _45296, op2(_45296, _45296) = _45143, -(op2(_45143, _45296) = _45143)]]], (122 ^ _41600) ^ [_45745] : [sorti1(_45745), -(sorti2(h(_45745)))], (2 ^ _41600) ^ [_41744] : [-(_41744 = _41744)], (72 ^ _41600) ^ [_44080] : [sorti1(_44080), 75 ^ _41600 : [(76 ^ _41600) ^ [_44212] : [sorti1(_44212), -(sorti1(op1(_44080, _44212)))]]], (20 ^ _41600) ^ [_42368, _42370] : [-(sorti2(_42368)), _42370 = _42368, sorti2(_42370)], (128 ^ _41600) ^ [_45915] : [sorti2(_45915), -(sorti1(j(_45915)))], (102 ^ _41600) ^ [] : [op1(91 ^ [], 94 ^ []) = 91 ^ []], (10 ^ _41600) ^ [_42055, _42057, _42059] : [-(_42059 = _42055), _42059 = _42057, _42057 = _42055]], input).
% 227.71/222.31 ncf('1',plain,[op1(91 ^ [], 94 ^ []) = 91 ^ []],start(102 ^ 0)).
% 227.71/222.31 ncf('1.1',plain,[-(op1(91 ^ [], 94 ^ []) = 91 ^ []), 91 ^ [] = op1(91 ^ [], 94 ^ [])],extension(4 ^ 1,bind([[_41851, _41853], [op1(91 ^ [], 94 ^ []), 91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1',plain,[-(91 ^ [] = op1(91 ^ [], 94 ^ [])), 91 ^ [] = j(h(91 ^ [])), j(h(91 ^ [])) = op1(91 ^ [], 94 ^ [])],extension(10 ^ 2,bind([[_42055, _42057, _42059], [op1(91 ^ [], 94 ^ []), j(h(91 ^ [])), 91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.1',plain,[-(91 ^ [] = j(h(91 ^ []))), j(h(91 ^ [])) = 91 ^ []],extension(4 ^ 3,bind([[_41851, _41853], [91 ^ [], j(h(91 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.1.1',plain,[-(j(h(91 ^ [])) = 91 ^ []), sorti1(91 ^ [])],extension(160 ^ 4,bind([[_47017], [91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.1.1.1',plain,[-(sorti1(91 ^ []))],extension(93 ^ 5)).
% 227.71/222.31 ncf('1.1.1.2',plain,[-(j(h(91 ^ [])) = op1(91 ^ [], 94 ^ [])), j(h(91 ^ [])) = j(h(j(h(91 ^ [])))), j(h(j(h(91 ^ [])))) = op1(91 ^ [], 94 ^ [])],extension(10 ^ 3,bind([[_42055, _42057, _42059], [op1(91 ^ [], 94 ^ []), j(h(j(h(91 ^ [])))), j(h(91 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.1',plain,[-(j(h(91 ^ [])) = j(h(j(h(91 ^ []))))), j(h(j(h(91 ^ [])))) = j(h(91 ^ []))],extension(4 ^ 4,bind([[_41851, _41853], [j(h(91 ^ [])), j(h(j(h(91 ^ []))))]]))).
% 227.71/222.31 ncf('1.1.1.2.1.1',plain,[-(j(h(j(h(91 ^ [])))) = j(h(91 ^ []))), h(j(h(91 ^ []))) = h(91 ^ [])],extension(60 ^ 5,bind([[_43664, _43666], [h(91 ^ []), h(j(h(91 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.1.1.1',plain,[-(h(j(h(91 ^ []))) = h(91 ^ [])), h(91 ^ []) = h(j(h(91 ^ [])))],extension(4 ^ 6,bind([[_41851, _41853], [h(j(h(91 ^ []))), h(91 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.1.1.1.1',plain,[-(h(91 ^ []) = h(j(h(91 ^ [])))), 91 ^ [] = j(h(91 ^ []))],extension(66 ^ 7,bind([[_43862, _43864], [j(h(91 ^ [])), 91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.1.1.1.1.1',plain,[-(91 ^ [] = j(h(91 ^ []))), j(h(91 ^ [])) = 91 ^ []],extension(4 ^ 8,bind([[_41851, _41853], [91 ^ [], j(h(91 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.1.1.1.1.1.1',plain,[-(j(h(91 ^ [])) = 91 ^ []), sorti1(91 ^ [])],extension(160 ^ 9,bind([[_47017], [91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.1.1.1.1.1.1.1',plain,[-(sorti1(91 ^ []))],extension(93 ^ 10)).
% 227.71/222.31 ncf('1.1.1.2.2',plain,[-(j(h(j(h(91 ^ [])))) = op1(91 ^ [], 94 ^ [])), op1(91 ^ [], 94 ^ []) = j(h(j(h(91 ^ []))))],extension(4 ^ 4,bind([[_41851, _41853], [j(h(j(h(91 ^ [])))), op1(91 ^ [], 94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1',plain,[-(op1(91 ^ [], 94 ^ []) = j(h(j(h(91 ^ []))))), op1(91 ^ [], 94 ^ []) = j(h(op1(91 ^ [], 94 ^ []))), j(h(op1(91 ^ [], 94 ^ []))) = j(h(j(h(91 ^ []))))],extension(10 ^ 5,bind([[_42055, _42057, _42059], [j(h(j(h(91 ^ [])))), j(h(op1(91 ^ [], 94 ^ []))), op1(91 ^ [], 94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1',plain,[-(op1(91 ^ [], 94 ^ []) = j(h(op1(91 ^ [], 94 ^ [])))), j(h(op1(91 ^ [], 94 ^ []))) = op1(91 ^ [], 94 ^ [])],extension(4 ^ 6,bind([[_41851, _41853], [op1(91 ^ [], 94 ^ []), j(h(op1(91 ^ [], 94 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1',plain,[-(j(h(op1(91 ^ [], 94 ^ []))) = op1(91 ^ [], 94 ^ [])), sorti1(op1(91 ^ [], 94 ^ []))],extension(160 ^ 7,bind([[_47017], [op1(91 ^ [], 94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1',plain,[-(sorti1(op1(91 ^ [], 94 ^ []))), op1(j(h(91 ^ [])), j(h(94 ^ []))) = op1(91 ^ [], 94 ^ []), sorti1(op1(j(h(91 ^ [])), j(h(94 ^ []))))],extension(30 ^ 8,bind([[_42643, _42645], [op1(91 ^ [], 94 ^ []), op1(j(h(91 ^ [])), j(h(94 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.1',plain,[-(op1(j(h(91 ^ [])), j(h(94 ^ []))) = op1(91 ^ [], 94 ^ [])), op1(91 ^ [], 94 ^ []) = op1(j(h(91 ^ [])), j(h(94 ^ [])))],extension(4 ^ 9,bind([[_41851, _41853], [op1(j(h(91 ^ [])), j(h(94 ^ []))), op1(91 ^ [], 94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.1.1',plain,[-(op1(91 ^ [], 94 ^ []) = op1(j(h(91 ^ [])), j(h(94 ^ [])))), 91 ^ [] = j(h(91 ^ [])), 94 ^ [] = j(h(94 ^ []))],extension(50 ^ 10,bind([[_43333, _43335, _43337, _43339], [j(h(94 ^ [])), 94 ^ [], j(h(91 ^ [])), 91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.1.1.1',plain,[-(91 ^ [] = j(h(91 ^ []))), j(h(91 ^ [])) = 91 ^ []],extension(4 ^ 11,bind([[_41851, _41853], [91 ^ [], j(h(91 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.1.1.1.1',plain,[-(j(h(91 ^ [])) = 91 ^ []), sorti1(91 ^ [])],extension(160 ^ 12,bind([[_47017], [91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.1.1.1.1.1',plain,[-(sorti1(91 ^ []))],extension(93 ^ 13)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.1.1.2',plain,[-(94 ^ [] = j(h(94 ^ []))), j(h(94 ^ [])) = 94 ^ []],extension(4 ^ 11,bind([[_41851, _41853], [94 ^ [], j(h(94 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.1.1.2.1',plain,[-(j(h(94 ^ [])) = 94 ^ []), sorti1(94 ^ [])],extension(160 ^ 12,bind([[_47017], [94 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.1.1.2.1.1',plain,[-(sorti1(94 ^ []))],extension(96 ^ 13)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2',plain,[-(sorti1(op1(j(h(91 ^ [])), j(h(94 ^ []))))), 76 : sorti1(j(h(94 ^ []))), 76 : sorti1(j(h(91 ^ [])))],extension(72 ^ 9,bind([[_44080, _44212], [j(h(91 ^ [])), j(h(94 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1',plain,[-(sorti1(j(h(94 ^ [])))), j(h(j(h(94 ^ [])))) = j(h(94 ^ [])), sorti1(j(h(j(h(94 ^ [])))))],extension(30 ^ 12,bind([[_42643, _42645], [j(h(94 ^ [])), j(h(j(h(94 ^ []))))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.1',plain,[-(j(h(j(h(94 ^ [])))) = j(h(94 ^ []))), j(h(94 ^ [])) = j(h(j(h(94 ^ []))))],extension(4 ^ 13,bind([[_41851, _41853], [j(h(j(h(94 ^ [])))), j(h(94 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.1.1',plain,[-(j(h(94 ^ [])) = j(h(j(h(94 ^ []))))), h(94 ^ []) = h(j(h(94 ^ [])))],extension(60 ^ 14,bind([[_43664, _43666], [h(j(h(94 ^ []))), h(94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.1.1.1',plain,[-(h(94 ^ []) = h(j(h(94 ^ [])))), h(j(h(94 ^ []))) = h(94 ^ [])],extension(4 ^ 15,bind([[_41851, _41853], [h(94 ^ []), h(j(h(94 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.1.1.1.1',plain,[-(h(j(h(94 ^ []))) = h(94 ^ [])), j(h(94 ^ [])) = 94 ^ []],extension(66 ^ 16,bind([[_43862, _43864], [94 ^ [], j(h(94 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.1.1.1.1.1',plain,[-(j(h(94 ^ [])) = 94 ^ []), sorti1(94 ^ [])],extension(160 ^ 17,bind([[_47017], [94 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.1.1.1.1.1.1',plain,[-(sorti1(94 ^ []))],extension(96 ^ 18)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2',plain,[-(sorti1(j(h(j(h(94 ^ [])))))), sorti2(h(j(h(94 ^ []))))],extension(128 ^ 13,bind([[_45915], [h(j(h(94 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1',plain,[-(sorti2(h(j(h(94 ^ []))))), h(94 ^ []) = h(j(h(94 ^ []))), sorti2(h(94 ^ []))],extension(20 ^ 14,bind([[_42368, _42370], [h(j(h(94 ^ []))), h(94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1.1',plain,[-(h(94 ^ []) = h(j(h(94 ^ [])))), h(j(h(94 ^ []))) = h(94 ^ [])],extension(4 ^ 15,bind([[_41851, _41853], [h(94 ^ []), h(j(h(94 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1.1.1',plain,[-(h(j(h(94 ^ []))) = h(94 ^ [])), j(h(94 ^ [])) = 94 ^ []],extension(66 ^ 16,bind([[_43862, _43864], [94 ^ [], j(h(94 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1.1.1.1',plain,[-(j(h(94 ^ [])) = 94 ^ []), sorti1(94 ^ [])],extension(160 ^ 17,bind([[_47017], [94 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1.1.1.1.1',plain,[-(sorti1(94 ^ []))],extension(96 ^ 18)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1.2',plain,[-(sorti2(h(94 ^ []))), sorti1(94 ^ [])],extension(122 ^ 15,bind([[_45745], [94 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1.2.1',plain,[-(sorti1(94 ^ [])), op1(91 ^ [], 91 ^ []) = 94 ^ [], sorti1(op1(91 ^ [], 91 ^ []))],extension(30 ^ 16,bind([[_42643, _42645], [94 ^ [], op1(91 ^ [], 91 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1.2.1.1',plain,[-(op1(91 ^ [], 91 ^ []) = 94 ^ [])],extension(98 ^ 17)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1.2.1.2',plain,[-(sorti1(op1(91 ^ [], 91 ^ []))), 76 : sorti1(91 ^ []), 76 : sorti1(91 ^ [])],extension(72 ^ 17,bind([[_44080, _44212], [91 ^ [], 91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1.2.1.2.1',plain,[-(sorti1(91 ^ []))],extension(93 ^ 20)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.1.2.1.2.1.2.2',plain,[-(sorti1(91 ^ []))],extension(93 ^ 18)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2',plain,[-(sorti1(j(h(91 ^ [])))), j(h(j(h(91 ^ [])))) = j(h(91 ^ [])), sorti1(j(h(j(h(91 ^ [])))))],extension(30 ^ 10,bind([[_42643, _42645], [j(h(91 ^ [])), j(h(j(h(91 ^ []))))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.1',plain,[-(j(h(j(h(91 ^ [])))) = j(h(91 ^ []))), j(h(91 ^ [])) = j(h(j(h(91 ^ []))))],extension(4 ^ 11,bind([[_41851, _41853], [j(h(j(h(91 ^ [])))), j(h(91 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.1.1',plain,[-(j(h(91 ^ [])) = j(h(j(h(91 ^ []))))), h(91 ^ []) = h(j(h(91 ^ [])))],extension(60 ^ 12,bind([[_43664, _43666], [h(j(h(91 ^ []))), h(91 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.1.1.1',plain,[-(h(91 ^ []) = h(j(h(91 ^ [])))), h(j(h(91 ^ []))) = h(91 ^ [])],extension(4 ^ 13,bind([[_41851, _41853], [h(91 ^ []), h(j(h(91 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.1.1.1.1',plain,[-(h(j(h(91 ^ []))) = h(91 ^ [])), j(h(91 ^ [])) = 91 ^ []],extension(66 ^ 14,bind([[_43862, _43864], [91 ^ [], j(h(91 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.1.1.1.1.1',plain,[-(j(h(91 ^ [])) = 91 ^ []), sorti1(91 ^ [])],extension(160 ^ 15,bind([[_47017], [91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.1.1.1.1.1.1',plain,[-(sorti1(91 ^ []))],extension(93 ^ 16)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2',plain,[-(sorti1(j(h(j(h(91 ^ [])))))), sorti2(h(j(h(91 ^ []))))],extension(128 ^ 11,bind([[_45915], [h(j(h(91 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1',plain,[-(sorti2(h(j(h(91 ^ []))))), h(91 ^ []) = h(j(h(91 ^ []))), sorti2(h(91 ^ []))],extension(20 ^ 12,bind([[_42368, _42370], [h(j(h(91 ^ []))), h(91 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1.1',plain,[-(h(91 ^ []) = h(j(h(91 ^ [])))), h(j(h(91 ^ []))) = h(91 ^ [])],extension(4 ^ 13,bind([[_41851, _41853], [h(91 ^ []), h(j(h(91 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1.1.1',plain,[-(h(j(h(91 ^ []))) = h(91 ^ [])), j(h(91 ^ [])) = 91 ^ []],extension(66 ^ 14,bind([[_43862, _43864], [91 ^ [], j(h(91 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1.1.1.1',plain,[-(j(h(91 ^ [])) = 91 ^ []), sorti1(91 ^ [])],extension(160 ^ 15,bind([[_47017], [91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1.1.1.1.1',plain,[-(sorti1(91 ^ []))],extension(93 ^ 16)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1.2',plain,[-(sorti2(h(91 ^ []))), sorti1(91 ^ [])],extension(122 ^ 13,bind([[_45745], [91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1.2.1',plain,[-(sorti1(91 ^ [])), op1(94 ^ [], 94 ^ []) = 91 ^ [], sorti1(op1(94 ^ [], 94 ^ []))],extension(30 ^ 14,bind([[_42643, _42645], [91 ^ [], op1(94 ^ [], 94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1.2.1.1',plain,[-(op1(94 ^ [], 94 ^ []) = 91 ^ [])],extension(100 ^ 15)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1.2.1.2',plain,[-(sorti1(op1(94 ^ [], 94 ^ []))), 76 : sorti1(94 ^ []), 76 : sorti1(94 ^ [])],extension(72 ^ 15,bind([[_44080, _44212], [94 ^ [], 94 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1.2.1.2.1',plain,[-(sorti1(94 ^ []))],extension(96 ^ 18)).
% 227.71/222.31 ncf('1.1.1.2.2.1.1.1.1.2.2.2.1.2.1.2.2',plain,[-(sorti1(94 ^ []))],extension(96 ^ 16)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2',plain,[-(j(h(op1(91 ^ [], 94 ^ []))) = j(h(j(h(91 ^ []))))), j(h(op1(91 ^ [], 94 ^ []))) = j(h(j(h(op1(91 ^ [], 94 ^ []))))), j(h(j(h(op1(91 ^ [], 94 ^ []))))) = j(h(j(h(91 ^ []))))],extension(10 ^ 6,bind([[_42055, _42057, _42059], [j(h(j(h(91 ^ [])))), j(h(j(h(op1(91 ^ [], 94 ^ []))))), j(h(op1(91 ^ [], 94 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1',plain,[-(j(h(op1(91 ^ [], 94 ^ []))) = j(h(j(h(op1(91 ^ [], 94 ^ [])))))), j(h(j(h(op1(91 ^ [], 94 ^ []))))) = j(h(op1(91 ^ [], 94 ^ [])))],extension(4 ^ 7,bind([[_41851, _41853], [j(h(op1(91 ^ [], 94 ^ []))), j(h(j(h(op1(91 ^ [], 94 ^ [])))))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1',plain,[-(j(h(j(h(op1(91 ^ [], 94 ^ []))))) = j(h(op1(91 ^ [], 94 ^ [])))), h(j(h(op1(91 ^ [], 94 ^ [])))) = h(op1(91 ^ [], 94 ^ []))],extension(60 ^ 8,bind([[_43664, _43666], [h(op1(91 ^ [], 94 ^ [])), h(j(h(op1(91 ^ [], 94 ^ []))))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1',plain,[-(h(j(h(op1(91 ^ [], 94 ^ [])))) = h(op1(91 ^ [], 94 ^ []))), h(op1(91 ^ [], 94 ^ [])) = h(j(h(op1(91 ^ [], 94 ^ []))))],extension(4 ^ 9,bind([[_41851, _41853], [h(j(h(op1(91 ^ [], 94 ^ [])))), h(op1(91 ^ [], 94 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1',plain,[-(h(op1(91 ^ [], 94 ^ [])) = h(j(h(op1(91 ^ [], 94 ^ []))))), op1(91 ^ [], 94 ^ []) = j(h(op1(91 ^ [], 94 ^ [])))],extension(66 ^ 10,bind([[_43862, _43864], [j(h(op1(91 ^ [], 94 ^ []))), op1(91 ^ [], 94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1',plain,[-(op1(91 ^ [], 94 ^ []) = j(h(op1(91 ^ [], 94 ^ [])))), j(h(op1(91 ^ [], 94 ^ []))) = op1(91 ^ [], 94 ^ [])],extension(4 ^ 11,bind([[_41851, _41853], [op1(91 ^ [], 94 ^ []), j(h(op1(91 ^ [], 94 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1',plain,[-(j(h(op1(91 ^ [], 94 ^ []))) = op1(91 ^ [], 94 ^ [])), sorti1(op1(91 ^ [], 94 ^ []))],extension(160 ^ 12,bind([[_47017], [op1(91 ^ [], 94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1.1',plain,[-(sorti1(op1(91 ^ [], 94 ^ []))), 76 : sorti1(94 ^ []), 76 : sorti1(91 ^ [])],extension(72 ^ 13,bind([[_44080, _44212], [91 ^ [], 94 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1.1.1',plain,[-(sorti1(94 ^ [])), op1(91 ^ [], 91 ^ []) = 94 ^ [], sorti1(op1(91 ^ [], 91 ^ []))],extension(30 ^ 16,bind([[_42643, _42645], [94 ^ [], op1(91 ^ [], 91 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1.1.1.1',plain,[-(op1(91 ^ [], 91 ^ []) = 94 ^ [])],extension(98 ^ 17)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1.1.1.2',plain,[-(sorti1(op1(91 ^ [], 91 ^ []))), sorti1(91 ^ [])],extension(76 ^ 17,bind([[_44212], [91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1.1.1.2.1',plain,[-(sorti1(91 ^ []))],extension(93 ^ 18)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1.1.2',plain,[-(sorti1(91 ^ [])), op1(94 ^ [], 94 ^ []) = 91 ^ [], sorti1(op1(94 ^ [], 94 ^ []))],extension(30 ^ 14,bind([[_42643, _42645], [91 ^ [], op1(94 ^ [], 94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1.1.2.1',plain,[-(op1(94 ^ [], 94 ^ []) = 91 ^ [])],extension(100 ^ 15)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1.1.2.2',plain,[-(sorti1(op1(94 ^ [], 94 ^ []))), 76 : sorti1(94 ^ []), 76 : sorti1(94 ^ [])],extension(72 ^ 15,bind([[_44080, _44212], [94 ^ [], 94 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1.1.2.2.1',plain,[-(sorti1(94 ^ []))],extension(96 ^ 18)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.1.1.1.1.1.1.1.2.2.2',plain,[-(sorti1(94 ^ []))],extension(96 ^ 16)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2',plain,[-(j(h(j(h(op1(91 ^ [], 94 ^ []))))) = j(h(j(h(91 ^ []))))), j(h(j(h(op1(91 ^ [], 94 ^ []))))) = j(h(j(op2(h(91 ^ []), h(94 ^ []))))), j(h(j(op2(h(91 ^ []), h(94 ^ []))))) = j(h(j(h(91 ^ []))))],extension(10 ^ 7,bind([[_42055, _42057, _42059], [j(h(j(h(91 ^ [])))), j(h(j(op2(h(91 ^ []), h(94 ^ []))))), j(h(j(h(op1(91 ^ [], 94 ^ [])))))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.1',plain,[-(j(h(j(h(op1(91 ^ [], 94 ^ []))))) = j(h(j(op2(h(91 ^ []), h(94 ^ [])))))), j(h(j(op2(h(91 ^ []), h(94 ^ []))))) = j(h(j(h(op1(91 ^ [], 94 ^ [])))))],extension(4 ^ 8,bind([[_41851, _41853], [j(h(j(h(op1(91 ^ [], 94 ^ []))))), j(h(j(op2(h(91 ^ []), h(94 ^ [])))))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.1.1',plain,[-(j(h(j(op2(h(91 ^ []), h(94 ^ []))))) = j(h(j(h(op1(91 ^ [], 94 ^ [])))))), h(j(op2(h(91 ^ []), h(94 ^ [])))) = h(j(h(op1(91 ^ [], 94 ^ []))))],extension(60 ^ 9,bind([[_43664, _43666], [h(j(h(op1(91 ^ [], 94 ^ [])))), h(j(op2(h(91 ^ []), h(94 ^ []))))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.1.1.1',plain,[-(h(j(op2(h(91 ^ []), h(94 ^ [])))) = h(j(h(op1(91 ^ [], 94 ^ []))))), h(j(h(op1(91 ^ [], 94 ^ [])))) = h(j(op2(h(91 ^ []), h(94 ^ []))))],extension(4 ^ 10,bind([[_41851, _41853], [h(j(op2(h(91 ^ []), h(94 ^ [])))), h(j(h(op1(91 ^ [], 94 ^ []))))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.1.1.1.1',plain,[-(h(j(h(op1(91 ^ [], 94 ^ [])))) = h(j(op2(h(91 ^ []), h(94 ^ []))))), j(h(op1(91 ^ [], 94 ^ []))) = j(op2(h(91 ^ []), h(94 ^ [])))],extension(66 ^ 11,bind([[_43862, _43864], [j(op2(h(91 ^ []), h(94 ^ []))), j(h(op1(91 ^ [], 94 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.1.1.1.1.1',plain,[-(j(h(op1(91 ^ [], 94 ^ []))) = j(op2(h(91 ^ []), h(94 ^ [])))), j(op2(h(91 ^ []), h(94 ^ []))) = j(h(op1(91 ^ [], 94 ^ [])))],extension(4 ^ 12,bind([[_41851, _41853], [j(h(op1(91 ^ [], 94 ^ []))), j(op2(h(91 ^ []), h(94 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.1.1.1.1.1.1',plain,[-(j(op2(h(91 ^ []), h(94 ^ []))) = j(h(op1(91 ^ [], 94 ^ [])))), op2(h(91 ^ []), h(94 ^ [])) = h(op1(91 ^ [], 94 ^ []))],extension(60 ^ 13,bind([[_43664, _43666], [h(op1(91 ^ [], 94 ^ [])), op2(h(91 ^ []), h(94 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.1.1.1.1.1.1.1',plain,[-(op2(h(91 ^ []), h(94 ^ [])) = h(op1(91 ^ [], 94 ^ []))), h(op1(91 ^ [], 94 ^ [])) = op2(h(91 ^ []), h(94 ^ []))],extension(4 ^ 14,bind([[_41851, _41853], [op2(h(91 ^ []), h(94 ^ [])), h(op1(91 ^ [], 94 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.1.1.1.1.1.1.1.1',plain,[-(h(op1(91 ^ [], 94 ^ [])) = op2(h(91 ^ []), h(94 ^ []))), 138 : sorti1(94 ^ []), 138 : sorti1(91 ^ [])],extension(134 ^ 15,bind([[_46107, _46249], [91 ^ [], 94 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.1.1.1.1.1.1.1.1.1',plain,[-(sorti1(94 ^ []))],extension(96 ^ 18)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.1.1.1.1.1.1.1.1.2',plain,[-(sorti1(91 ^ []))],extension(93 ^ 16)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2',plain,[-(j(h(j(op2(h(91 ^ []), h(94 ^ []))))) = j(h(j(h(91 ^ []))))), h(j(op2(h(91 ^ []), h(94 ^ [])))) = h(j(h(91 ^ [])))],extension(60 ^ 8,bind([[_43664, _43666], [h(j(h(91 ^ []))), h(j(op2(h(91 ^ []), h(94 ^ []))))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1',plain,[-(h(j(op2(h(91 ^ []), h(94 ^ [])))) = h(j(h(91 ^ [])))), j(op2(h(91 ^ []), h(94 ^ []))) = j(h(91 ^ []))],extension(66 ^ 9,bind([[_43862, _43864], [j(h(91 ^ [])), j(op2(h(91 ^ []), h(94 ^ [])))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1',plain,[-(j(op2(h(91 ^ []), h(94 ^ []))) = j(h(91 ^ []))), op2(h(91 ^ []), h(94 ^ [])) = h(91 ^ [])],extension(60 ^ 10,bind([[_43664, _43666], [h(91 ^ []), op2(h(91 ^ []), h(94 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1',plain,[-(op2(h(91 ^ []), h(94 ^ [])) = h(91 ^ [])), 108 : sorti2(h(94 ^ [])), 108 : op2(h(91 ^ []), h(91 ^ [])) = h(94 ^ []), 108 : op2(h(94 ^ []), h(94 ^ [])) = h(91 ^ []), 108 : sorti2(h(91 ^ []))],extension(104 ^ 11,bind([[_45143, _45296], [h(91 ^ []), h(94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.1',plain,[-(sorti2(h(94 ^ []))), sorti1(94 ^ [])],extension(122 ^ 14,bind([[_45745], [94 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.1.1',plain,[-(sorti1(94 ^ []))],extension(96 ^ 15)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.2',plain,[-(op2(h(91 ^ []), h(91 ^ [])) = h(94 ^ [])), h(94 ^ []) = op2(h(91 ^ []), h(91 ^ []))],extension(4 ^ 14,bind([[_41851, _41853], [op2(h(91 ^ []), h(91 ^ [])), h(94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.2.1',plain,[-(h(94 ^ []) = op2(h(91 ^ []), h(91 ^ []))), h(94 ^ []) = h(op1(91 ^ [], 91 ^ [])), h(op1(91 ^ [], 91 ^ [])) = op2(h(91 ^ []), h(91 ^ []))],extension(10 ^ 15,bind([[_42055, _42057, _42059], [op2(h(91 ^ []), h(91 ^ [])), h(op1(91 ^ [], 91 ^ [])), h(94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.2.1.1',plain,[-(h(94 ^ []) = h(op1(91 ^ [], 91 ^ []))), h(op1(91 ^ [], 91 ^ [])) = h(94 ^ [])],extension(4 ^ 16,bind([[_41851, _41853], [h(94 ^ []), h(op1(91 ^ [], 91 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.2.1.1.1',plain,[-(h(op1(91 ^ [], 91 ^ [])) = h(94 ^ [])), op1(91 ^ [], 91 ^ []) = 94 ^ []],extension(66 ^ 17,bind([[_43862, _43864], [94 ^ [], op1(91 ^ [], 91 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.2.1.1.1.1',plain,[-(op1(91 ^ [], 91 ^ []) = 94 ^ [])],extension(98 ^ 18)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.2.1.2',plain,[-(h(op1(91 ^ [], 91 ^ [])) = op2(h(91 ^ []), h(91 ^ []))), 138 : sorti1(91 ^ []), 138 : sorti1(91 ^ [])],extension(134 ^ 16,bind([[_46107, _46249], [91 ^ [], 91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.2.1.2.1',plain,[-(sorti1(91 ^ []))],extension(93 ^ 19)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.2.1.2.2',plain,[-(sorti1(91 ^ []))],extension(93 ^ 17)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.3',plain,[-(op2(h(94 ^ []), h(94 ^ [])) = h(91 ^ [])), h(91 ^ []) = op2(h(94 ^ []), h(94 ^ []))],extension(4 ^ 14,bind([[_41851, _41853], [op2(h(94 ^ []), h(94 ^ [])), h(91 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.3.1',plain,[-(h(91 ^ []) = op2(h(94 ^ []), h(94 ^ []))), h(91 ^ []) = h(op1(94 ^ [], 94 ^ [])), h(op1(94 ^ [], 94 ^ [])) = op2(h(94 ^ []), h(94 ^ []))],extension(10 ^ 15,bind([[_42055, _42057, _42059], [op2(h(94 ^ []), h(94 ^ [])), h(op1(94 ^ [], 94 ^ [])), h(91 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.3.1.1',plain,[-(h(91 ^ []) = h(op1(94 ^ [], 94 ^ []))), h(op1(94 ^ [], 94 ^ [])) = h(91 ^ [])],extension(4 ^ 16,bind([[_41851, _41853], [h(91 ^ []), h(op1(94 ^ [], 94 ^ []))]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.3.1.1.1',plain,[-(h(op1(94 ^ [], 94 ^ [])) = h(91 ^ [])), op1(94 ^ [], 94 ^ []) = 91 ^ []],extension(66 ^ 17,bind([[_43862, _43864], [91 ^ [], op1(94 ^ [], 94 ^ [])]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.3.1.1.1.1',plain,[-(op1(94 ^ [], 94 ^ []) = 91 ^ [])],extension(100 ^ 18)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.3.1.2',plain,[-(h(op1(94 ^ [], 94 ^ [])) = op2(h(94 ^ []), h(94 ^ []))), 138 : sorti1(94 ^ []), 138 : sorti1(94 ^ [])],extension(134 ^ 16,bind([[_46107, _46249], [94 ^ [], 94 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.3.1.2.1',plain,[-(sorti1(94 ^ []))],extension(96 ^ 19)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.3.1.2.2',plain,[-(sorti1(94 ^ []))],extension(96 ^ 17)).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.4',plain,[-(sorti2(h(91 ^ []))), sorti1(91 ^ [])],extension(122 ^ 12,bind([[_45745], [91 ^ []]]))).
% 227.71/222.31 ncf('1.1.1.2.2.1.2.2.2.1.1.1.4.1',plain,[-(sorti1(91 ^ []))],extension(93 ^ 13)).
% 227.71/222.31 %-----------------------------------------------------
% 227.71/222.31 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------