TSTP Solution File: GRP702+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 11:16:35 EDT 2023
% Result : Theorem 104.74s 104.88s
% Output : Proof 104.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP702+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : nanocop.sh %s %d
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Fri May 19 02:11:57 EDT 2023
% 0.16/0.32 % CPUTime :
% 104.74/104.88
% 104.74/104.88 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 104.74/104.88 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 104.74/104.88 %-----------------------------------------------------
% 104.74/104.88 ncf(matrix, plain, [(78 ^ _41038) ^ [] : [mult(op_d, mult(75 ^ [], 76 ^ [])) = mult(mult(op_d, 75 ^ []), 76 ^ []), mult(75 ^ [], mult(76 ^ [], op_d)) = mult(mult(75 ^ [], 76 ^ []), op_d), mult(75 ^ [], mult(op_d, 76 ^ [])) = mult(mult(75 ^ [], op_d), 76 ^ [])], !, (58 ^ _37833) ^ [_39999] : [-(mult(_39999, unit) = _39999)], (40 ^ _37833) ^ [_39287, _39289, _39291, _39293] : [-(mult(_39293, _39289) = mult(_39291, _39287)), _39293 = _39291, _39289 = _39287], (70 ^ _37833) ^ [_40607] : [-(op_d = ld(_40607, mult(op_c, _40607)))], (64 ^ _37833) ^ [_40303, _40305] : [-(mult(op_c, mult(_40303, _40305)) = mult(mult(op_c, _40303), _40305))], (52 ^ _37833) ^ [_39713, _39715] : [-(ld(_39713, mult(_39713, _39715)) = _39715)], (20 ^ _37833) ^ [_38589, _38591, _38593, _38595] : [-(rd(_38595, _38591) = rd(_38593, _38589)), _38595 = _38593, _38591 = _38589], (54 ^ _37833) ^ [_39813, _39815] : [-(mult(rd(_39813, _39815), _39815) = _39813)], (74 ^ _37833) ^ [_40791, _40793] : [-(op_f = mult(_40791, mult(_40793, ld(mult(_40791, _40793), op_c))))], (62 ^ _37833) ^ [_40189, _40191, _40193] : [-(mult(_40189, mult(_40191, mult(_40191, _40193))) = mult(mult(mult(_40189, _40191), _40191), _40193))], (66 ^ _37833) ^ [_40409, _40411] : [-(mult(_40409, mult(_40411, op_c)) = mult(mult(_40409, _40411), op_c))], (68 ^ _37833) ^ [_40515, _40517] : [-(mult(_40515, mult(op_c, _40517)) = mult(mult(_40515, op_c), _40517))], (2 ^ _37833) ^ [_37937] : [-(_37937 = _37937)], (30 ^ _37833) ^ [_38948, _38950, _38952, _38954] : [-(ld(_38954, _38950) = ld(_38952, _38948)), _38954 = _38952, _38950 = _38948], (60 ^ _37833) ^ [_40080] : [-(mult(unit, _40080) = _40080)], (72 ^ _37833) ^ [_40705, _40707] : [-(op_e = mult(mult(rd(op_c, mult(_40705, _40707)), _40707), _40705))], (10 ^ _37833) ^ [_38248, _38250, _38252] : [-(_38252 = _38248), _38252 = _38250, _38250 = _38248], (50 ^ _37833) ^ [_39613, _39615] : [-(mult(_39613, ld(_39613, _39615)) = _39615)], (4 ^ _37833) ^ [_38044, _38046] : [_38046 = _38044, -(_38044 = _38046)], (56 ^ _37833) ^ [_39913, _39915] : [-(rd(mult(_39913, _39915), _39915) = _39913)]], input).
% 104.74/104.88 ncf('1',plain,[mult(op_d, mult(75 ^ [], 76 ^ [])) = mult(mult(op_d, 75 ^ []), 76 ^ []), mult(75 ^ [], mult(76 ^ [], op_d)) = mult(mult(75 ^ [], 76 ^ []), op_d), mult(75 ^ [], mult(op_d, 76 ^ [])) = mult(mult(75 ^ [], op_d), 76 ^ [])],start(78 ^ 0)).
% 104.74/104.88 ncf('1.1',plain,[-(mult(op_d, mult(75 ^ [], 76 ^ [])) = mult(mult(op_d, 75 ^ []), 76 ^ [])), mult(op_d, mult(75 ^ [], 76 ^ [])) = mult(ld(op_c, mult(op_c, op_c)), mult(75 ^ [], 76 ^ [])), mult(ld(op_c, mult(op_c, op_c)), mult(75 ^ [], 76 ^ [])) = mult(mult(op_d, 75 ^ []), 76 ^ [])],extension(10 ^ 1,bind([[_38248, _38250, _38252], [mult(mult(op_d, 75 ^ []), 76 ^ []), mult(ld(op_c, mult(op_c, op_c)), mult(75 ^ [], 76 ^ [])), mult(op_d, mult(75 ^ [], 76 ^ []))]]))).
% 104.74/104.88 ncf('1.1.1',plain,[-(mult(op_d, mult(75 ^ [], 76 ^ [])) = mult(ld(op_c, mult(op_c, op_c)), mult(75 ^ [], 76 ^ []))), op_d = ld(op_c, mult(op_c, op_c)), mult(75 ^ [], 76 ^ []) = mult(75 ^ [], 76 ^ [])],extension(40 ^ 2,bind([[_39287, _39289, _39291, _39293], [mult(75 ^ [], 76 ^ []), mult(75 ^ [], 76 ^ []), ld(op_c, mult(op_c, op_c)), op_d]]))).
% 104.74/104.88 ncf('1.1.1.1',plain,[-(op_d = ld(op_c, mult(op_c, op_c)))],extension(70 ^ 3,bind([[_40607], [op_c]]))).
% 104.74/104.88 ncf('1.1.1.2',plain,[-(mult(75 ^ [], 76 ^ []) = mult(75 ^ [], 76 ^ [])), 75 ^ [] = 75 ^ [], 76 ^ [] = 76 ^ []],extension(40 ^ 3,bind([[_39287, _39289, _39291, _39293], [76 ^ [], 76 ^ [], 75 ^ [], 75 ^ []]]))).
% 104.74/104.88 ncf('1.1.1.2.1',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 4,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.1.1.2.2',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 4,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.1.2',plain,[-(mult(ld(op_c, mult(op_c, op_c)), mult(75 ^ [], 76 ^ [])) = mult(mult(op_d, 75 ^ []), 76 ^ [])), mult(ld(op_c, mult(op_c, op_c)), mult(75 ^ [], 76 ^ [])) = mult(op_c, mult(75 ^ [], 76 ^ [])), mult(op_c, mult(75 ^ [], 76 ^ [])) = mult(mult(op_d, 75 ^ []), 76 ^ [])],extension(10 ^ 2,bind([[_38248, _38250, _38252], [mult(mult(op_d, 75 ^ []), 76 ^ []), mult(op_c, mult(75 ^ [], 76 ^ [])), mult(ld(op_c, mult(op_c, op_c)), mult(75 ^ [], 76 ^ []))]]))).
% 104.74/104.88 ncf('1.1.2.1',plain,[-(mult(ld(op_c, mult(op_c, op_c)), mult(75 ^ [], 76 ^ [])) = mult(op_c, mult(75 ^ [], 76 ^ []))), ld(op_c, mult(op_c, op_c)) = op_c, mult(75 ^ [], 76 ^ []) = mult(75 ^ [], 76 ^ [])],extension(40 ^ 3,bind([[_39287, _39289, _39291, _39293], [mult(75 ^ [], 76 ^ []), mult(75 ^ [], 76 ^ []), op_c, ld(op_c, mult(op_c, op_c))]]))).
% 104.74/104.88 ncf('1.1.2.1.1',plain,[-(ld(op_c, mult(op_c, op_c)) = op_c)],extension(52 ^ 4,bind([[_39713, _39715], [op_c, op_c]]))).
% 104.74/104.88 ncf('1.1.2.1.2',plain,[-(mult(75 ^ [], 76 ^ []) = mult(75 ^ [], 76 ^ [])), 75 ^ [] = 75 ^ [], 76 ^ [] = 76 ^ []],extension(40 ^ 4,bind([[_39287, _39289, _39291, _39293], [76 ^ [], 76 ^ [], 75 ^ [], 75 ^ []]]))).
% 104.74/104.88 ncf('1.1.2.1.2.1',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 5,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.1.2.1.2.2',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 5,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.1.2.2',plain,[-(mult(op_c, mult(75 ^ [], 76 ^ [])) = mult(mult(op_d, 75 ^ []), 76 ^ [])), mult(mult(op_d, 75 ^ []), 76 ^ []) = mult(op_c, mult(75 ^ [], 76 ^ []))],extension(4 ^ 3,bind([[_38044, _38046], [mult(op_c, mult(75 ^ [], 76 ^ [])), mult(mult(op_d, 75 ^ []), 76 ^ [])]]))).
% 104.74/104.88 ncf('1.1.2.2.1',plain,[-(mult(mult(op_d, 75 ^ []), 76 ^ []) = mult(op_c, mult(75 ^ [], 76 ^ []))), mult(mult(op_d, 75 ^ []), 76 ^ []) = mult(mult(ld(op_c, mult(op_c, op_c)), 75 ^ []), 76 ^ []), mult(mult(ld(op_c, mult(op_c, op_c)), 75 ^ []), 76 ^ []) = mult(op_c, mult(75 ^ [], 76 ^ []))],extension(10 ^ 4,bind([[_38248, _38250, _38252], [mult(op_c, mult(75 ^ [], 76 ^ [])), mult(mult(ld(op_c, mult(op_c, op_c)), 75 ^ []), 76 ^ []), mult(mult(op_d, 75 ^ []), 76 ^ [])]]))).
% 104.74/104.88 ncf('1.1.2.2.1.1',plain,[-(mult(mult(op_d, 75 ^ []), 76 ^ []) = mult(mult(ld(op_c, mult(op_c, op_c)), 75 ^ []), 76 ^ [])), mult(op_d, 75 ^ []) = mult(ld(op_c, mult(op_c, op_c)), 75 ^ []), 76 ^ [] = 76 ^ []],extension(40 ^ 5,bind([[_39287, _39289, _39291, _39293], [76 ^ [], 76 ^ [], mult(ld(op_c, mult(op_c, op_c)), 75 ^ []), mult(op_d, 75 ^ [])]]))).
% 104.74/104.88 ncf('1.1.2.2.1.1.1',plain,[-(mult(op_d, 75 ^ []) = mult(ld(op_c, mult(op_c, op_c)), 75 ^ [])), op_d = ld(op_c, mult(op_c, op_c)), 75 ^ [] = 75 ^ []],extension(40 ^ 6,bind([[_39287, _39289, _39291, _39293], [75 ^ [], 75 ^ [], ld(op_c, mult(op_c, op_c)), op_d]]))).
% 104.74/104.88 ncf('1.1.2.2.1.1.1.1',plain,[-(op_d = ld(op_c, mult(op_c, op_c)))],extension(70 ^ 7,bind([[_40607], [op_c]]))).
% 104.74/104.88 ncf('1.1.2.2.1.1.1.2',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 7,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.1.2.2.1.1.2',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 6,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.1.2.2.1.2',plain,[-(mult(mult(ld(op_c, mult(op_c, op_c)), 75 ^ []), 76 ^ []) = mult(op_c, mult(75 ^ [], 76 ^ []))), mult(mult(ld(op_c, mult(op_c, op_c)), 75 ^ []), 76 ^ []) = mult(mult(op_c, 75 ^ []), 76 ^ []), mult(mult(op_c, 75 ^ []), 76 ^ []) = mult(op_c, mult(75 ^ [], 76 ^ []))],extension(10 ^ 5,bind([[_38248, _38250, _38252], [mult(op_c, mult(75 ^ [], 76 ^ [])), mult(mult(op_c, 75 ^ []), 76 ^ []), mult(mult(ld(op_c, mult(op_c, op_c)), 75 ^ []), 76 ^ [])]]))).
% 104.74/104.88 ncf('1.1.2.2.1.2.1',plain,[-(mult(mult(ld(op_c, mult(op_c, op_c)), 75 ^ []), 76 ^ []) = mult(mult(op_c, 75 ^ []), 76 ^ [])), mult(ld(op_c, mult(op_c, op_c)), 75 ^ []) = mult(op_c, 75 ^ []), 76 ^ [] = 76 ^ []],extension(40 ^ 6,bind([[_39287, _39289, _39291, _39293], [76 ^ [], 76 ^ [], mult(op_c, 75 ^ []), mult(ld(op_c, mult(op_c, op_c)), 75 ^ [])]]))).
% 104.74/104.88 ncf('1.1.2.2.1.2.1.1',plain,[-(mult(ld(op_c, mult(op_c, op_c)), 75 ^ []) = mult(op_c, 75 ^ [])), ld(op_c, mult(op_c, op_c)) = op_c, 75 ^ [] = 75 ^ []],extension(40 ^ 7,bind([[_39287, _39289, _39291, _39293], [75 ^ [], 75 ^ [], op_c, ld(op_c, mult(op_c, op_c))]]))).
% 104.74/104.88 ncf('1.1.2.2.1.2.1.1.1',plain,[-(ld(op_c, mult(op_c, op_c)) = op_c)],extension(52 ^ 8,bind([[_39713, _39715], [op_c, op_c]]))).
% 104.74/104.88 ncf('1.1.2.2.1.2.1.1.2',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 8,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.1.2.2.1.2.1.2',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 7,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.1.2.2.1.2.2',plain,[-(mult(mult(op_c, 75 ^ []), 76 ^ []) = mult(op_c, mult(75 ^ [], 76 ^ []))), mult(op_c, mult(75 ^ [], 76 ^ [])) = mult(mult(op_c, 75 ^ []), 76 ^ [])],extension(4 ^ 6,bind([[_38044, _38046], [mult(mult(op_c, 75 ^ []), 76 ^ []), mult(op_c, mult(75 ^ [], 76 ^ []))]]))).
% 104.74/104.88 ncf('1.1.2.2.1.2.2.1',plain,[-(mult(op_c, mult(75 ^ [], 76 ^ [])) = mult(mult(op_c, 75 ^ []), 76 ^ []))],extension(64 ^ 7,bind([[_40303, _40305], [75 ^ [], 76 ^ []]]))).
% 104.74/104.88 ncf('1.2',plain,[-(mult(75 ^ [], mult(76 ^ [], op_d)) = mult(mult(75 ^ [], 76 ^ []), op_d)), mult(75 ^ [], mult(76 ^ [], op_d)) = mult(75 ^ [], mult(76 ^ [], ld(op_c, mult(op_c, op_c)))), mult(75 ^ [], mult(76 ^ [], ld(op_c, mult(op_c, op_c)))) = mult(mult(75 ^ [], 76 ^ []), op_d)],extension(10 ^ 1,bind([[_38248, _38250, _38252], [mult(mult(75 ^ [], 76 ^ []), op_d), mult(75 ^ [], mult(76 ^ [], ld(op_c, mult(op_c, op_c)))), mult(75 ^ [], mult(76 ^ [], op_d))]]))).
% 104.74/104.88 ncf('1.2.1',plain,[-(mult(75 ^ [], mult(76 ^ [], op_d)) = mult(75 ^ [], mult(76 ^ [], ld(op_c, mult(op_c, op_c))))), 75 ^ [] = 75 ^ [], mult(76 ^ [], op_d) = mult(76 ^ [], ld(op_c, mult(op_c, op_c)))],extension(40 ^ 2,bind([[_39287, _39289, _39291, _39293], [mult(76 ^ [], ld(op_c, mult(op_c, op_c))), mult(76 ^ [], op_d), 75 ^ [], 75 ^ []]]))).
% 104.74/104.88 ncf('1.2.1.1',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 3,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.2.1.2',plain,[-(mult(76 ^ [], op_d) = mult(76 ^ [], ld(op_c, mult(op_c, op_c)))), 76 ^ [] = 76 ^ [], op_d = ld(op_c, mult(op_c, op_c))],extension(40 ^ 3,bind([[_39287, _39289, _39291, _39293], [ld(op_c, mult(op_c, op_c)), op_d, 76 ^ [], 76 ^ []]]))).
% 104.74/104.88 ncf('1.2.1.2.1',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 4,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.2.1.2.2',plain,[-(op_d = ld(op_c, mult(op_c, op_c)))],extension(70 ^ 4,bind([[_40607], [op_c]]))).
% 104.74/104.88 ncf('1.2.2',plain,[-(mult(75 ^ [], mult(76 ^ [], ld(op_c, mult(op_c, op_c)))) = mult(mult(75 ^ [], 76 ^ []), op_d)), mult(75 ^ [], mult(76 ^ [], ld(op_c, mult(op_c, op_c)))) = mult(75 ^ [], mult(76 ^ [], op_c)), mult(75 ^ [], mult(76 ^ [], op_c)) = mult(mult(75 ^ [], 76 ^ []), op_d)],extension(10 ^ 2,bind([[_38248, _38250, _38252], [mult(mult(75 ^ [], 76 ^ []), op_d), mult(75 ^ [], mult(76 ^ [], op_c)), mult(75 ^ [], mult(76 ^ [], ld(op_c, mult(op_c, op_c))))]]))).
% 104.74/104.88 ncf('1.2.2.1',plain,[-(mult(75 ^ [], mult(76 ^ [], ld(op_c, mult(op_c, op_c)))) = mult(75 ^ [], mult(76 ^ [], op_c))), 75 ^ [] = 75 ^ [], mult(76 ^ [], ld(op_c, mult(op_c, op_c))) = mult(76 ^ [], op_c)],extension(40 ^ 3,bind([[_39287, _39289, _39291, _39293], [mult(76 ^ [], op_c), mult(76 ^ [], ld(op_c, mult(op_c, op_c))), 75 ^ [], 75 ^ []]]))).
% 104.74/104.88 ncf('1.2.2.1.1',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 4,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.2.2.1.2',plain,[-(mult(76 ^ [], ld(op_c, mult(op_c, op_c))) = mult(76 ^ [], op_c)), 76 ^ [] = 76 ^ [], ld(op_c, mult(op_c, op_c)) = op_c],extension(40 ^ 4,bind([[_39287, _39289, _39291, _39293], [op_c, ld(op_c, mult(op_c, op_c)), 76 ^ [], 76 ^ []]]))).
% 104.74/104.88 ncf('1.2.2.1.2.1',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 5,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.2.2.1.2.2',plain,[-(ld(op_c, mult(op_c, op_c)) = op_c)],extension(52 ^ 5,bind([[_39713, _39715], [op_c, op_c]]))).
% 104.74/104.88 ncf('1.2.2.2',plain,[-(mult(75 ^ [], mult(76 ^ [], op_c)) = mult(mult(75 ^ [], 76 ^ []), op_d)), mult(mult(75 ^ [], 76 ^ []), op_d) = mult(75 ^ [], mult(76 ^ [], op_c))],extension(4 ^ 3,bind([[_38044, _38046], [mult(75 ^ [], mult(76 ^ [], op_c)), mult(mult(75 ^ [], 76 ^ []), op_d)]]))).
% 104.74/104.88 ncf('1.2.2.2.1',plain,[-(mult(mult(75 ^ [], 76 ^ []), op_d) = mult(75 ^ [], mult(76 ^ [], op_c))), mult(mult(75 ^ [], 76 ^ []), op_d) = mult(mult(75 ^ [], 76 ^ []), ld(op_c, mult(op_c, op_c))), mult(mult(75 ^ [], 76 ^ []), ld(op_c, mult(op_c, op_c))) = mult(75 ^ [], mult(76 ^ [], op_c))],extension(10 ^ 4,bind([[_38248, _38250, _38252], [mult(75 ^ [], mult(76 ^ [], op_c)), mult(mult(75 ^ [], 76 ^ []), ld(op_c, mult(op_c, op_c))), mult(mult(75 ^ [], 76 ^ []), op_d)]]))).
% 104.74/104.88 ncf('1.2.2.2.1.1',plain,[-(mult(mult(75 ^ [], 76 ^ []), op_d) = mult(mult(75 ^ [], 76 ^ []), ld(op_c, mult(op_c, op_c)))), mult(75 ^ [], 76 ^ []) = mult(75 ^ [], 76 ^ []), op_d = ld(op_c, mult(op_c, op_c))],extension(40 ^ 5,bind([[_39287, _39289, _39291, _39293], [ld(op_c, mult(op_c, op_c)), op_d, mult(75 ^ [], 76 ^ []), mult(75 ^ [], 76 ^ [])]]))).
% 104.74/104.88 ncf('1.2.2.2.1.1.1',plain,[-(mult(75 ^ [], 76 ^ []) = mult(75 ^ [], 76 ^ [])), 75 ^ [] = 75 ^ [], 76 ^ [] = 76 ^ []],extension(40 ^ 6,bind([[_39287, _39289, _39291, _39293], [76 ^ [], 76 ^ [], 75 ^ [], 75 ^ []]]))).
% 104.74/104.88 ncf('1.2.2.2.1.1.1.1',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 7,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.2.2.2.1.1.1.2',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 7,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.2.2.2.1.1.2',plain,[-(op_d = ld(op_c, mult(op_c, op_c)))],extension(70 ^ 6,bind([[_40607], [op_c]]))).
% 104.74/104.88 ncf('1.2.2.2.1.2',plain,[-(mult(mult(75 ^ [], 76 ^ []), ld(op_c, mult(op_c, op_c))) = mult(75 ^ [], mult(76 ^ [], op_c))), mult(mult(75 ^ [], 76 ^ []), ld(op_c, mult(op_c, op_c))) = mult(mult(75 ^ [], 76 ^ []), op_c), mult(mult(75 ^ [], 76 ^ []), op_c) = mult(75 ^ [], mult(76 ^ [], op_c))],extension(10 ^ 5,bind([[_38248, _38250, _38252], [mult(75 ^ [], mult(76 ^ [], op_c)), mult(mult(75 ^ [], 76 ^ []), op_c), mult(mult(75 ^ [], 76 ^ []), ld(op_c, mult(op_c, op_c)))]]))).
% 104.74/104.88 ncf('1.2.2.2.1.2.1',plain,[-(mult(mult(75 ^ [], 76 ^ []), ld(op_c, mult(op_c, op_c))) = mult(mult(75 ^ [], 76 ^ []), op_c)), mult(75 ^ [], 76 ^ []) = mult(75 ^ [], 76 ^ []), ld(op_c, mult(op_c, op_c)) = op_c],extension(40 ^ 6,bind([[_39287, _39289, _39291, _39293], [op_c, ld(op_c, mult(op_c, op_c)), mult(75 ^ [], 76 ^ []), mult(75 ^ [], 76 ^ [])]]))).
% 104.74/104.88 ncf('1.2.2.2.1.2.1.1',plain,[-(mult(75 ^ [], 76 ^ []) = mult(75 ^ [], 76 ^ [])), 75 ^ [] = 75 ^ [], 76 ^ [] = 76 ^ []],extension(40 ^ 7,bind([[_39287, _39289, _39291, _39293], [76 ^ [], 76 ^ [], 75 ^ [], 75 ^ []]]))).
% 104.74/104.88 ncf('1.2.2.2.1.2.1.1.1',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 8,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.2.2.2.1.2.1.1.2',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 8,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.2.2.2.1.2.1.2',plain,[-(ld(op_c, mult(op_c, op_c)) = op_c)],extension(52 ^ 7,bind([[_39713, _39715], [op_c, op_c]]))).
% 104.74/104.88 ncf('1.2.2.2.1.2.2',plain,[-(mult(mult(75 ^ [], 76 ^ []), op_c) = mult(75 ^ [], mult(76 ^ [], op_c))), mult(75 ^ [], mult(76 ^ [], op_c)) = mult(mult(75 ^ [], 76 ^ []), op_c)],extension(4 ^ 6,bind([[_38044, _38046], [mult(mult(75 ^ [], 76 ^ []), op_c), mult(75 ^ [], mult(76 ^ [], op_c))]]))).
% 104.74/104.88 ncf('1.2.2.2.1.2.2.1',plain,[-(mult(75 ^ [], mult(76 ^ [], op_c)) = mult(mult(75 ^ [], 76 ^ []), op_c))],extension(66 ^ 7,bind([[_40409, _40411], [75 ^ [], 76 ^ []]]))).
% 104.74/104.88 ncf('1.3',plain,[-(mult(75 ^ [], mult(op_d, 76 ^ [])) = mult(mult(75 ^ [], op_d), 76 ^ [])), mult(75 ^ [], mult(op_d, 76 ^ [])) = mult(75 ^ [], mult(ld(op_c, mult(op_c, op_c)), 76 ^ [])), mult(75 ^ [], mult(ld(op_c, mult(op_c, op_c)), 76 ^ [])) = mult(mult(75 ^ [], op_d), 76 ^ [])],extension(10 ^ 1,bind([[_38248, _38250, _38252], [mult(mult(75 ^ [], op_d), 76 ^ []), mult(75 ^ [], mult(ld(op_c, mult(op_c, op_c)), 76 ^ [])), mult(75 ^ [], mult(op_d, 76 ^ []))]]))).
% 104.74/104.88 ncf('1.3.1',plain,[-(mult(75 ^ [], mult(op_d, 76 ^ [])) = mult(75 ^ [], mult(ld(op_c, mult(op_c, op_c)), 76 ^ []))), 75 ^ [] = 75 ^ [], mult(op_d, 76 ^ []) = mult(ld(op_c, mult(op_c, op_c)), 76 ^ [])],extension(40 ^ 2,bind([[_39287, _39289, _39291, _39293], [mult(ld(op_c, mult(op_c, op_c)), 76 ^ []), mult(op_d, 76 ^ []), 75 ^ [], 75 ^ []]]))).
% 104.74/104.88 ncf('1.3.1.1',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 3,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.3.1.2',plain,[-(mult(op_d, 76 ^ []) = mult(ld(op_c, mult(op_c, op_c)), 76 ^ [])), op_d = ld(op_c, mult(op_c, op_c)), 76 ^ [] = 76 ^ []],extension(40 ^ 3,bind([[_39287, _39289, _39291, _39293], [76 ^ [], 76 ^ [], ld(op_c, mult(op_c, op_c)), op_d]]))).
% 104.74/104.88 ncf('1.3.1.2.1',plain,[-(op_d = ld(op_c, mult(op_c, op_c)))],extension(70 ^ 4,bind([[_40607], [op_c]]))).
% 104.74/104.88 ncf('1.3.1.2.2',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 4,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.3.2',plain,[-(mult(75 ^ [], mult(ld(op_c, mult(op_c, op_c)), 76 ^ [])) = mult(mult(75 ^ [], op_d), 76 ^ [])), mult(75 ^ [], mult(ld(op_c, mult(op_c, op_c)), 76 ^ [])) = mult(75 ^ [], mult(op_c, 76 ^ [])), mult(75 ^ [], mult(op_c, 76 ^ [])) = mult(mult(75 ^ [], op_d), 76 ^ [])],extension(10 ^ 2,bind([[_38248, _38250, _38252], [mult(mult(75 ^ [], op_d), 76 ^ []), mult(75 ^ [], mult(op_c, 76 ^ [])), mult(75 ^ [], mult(ld(op_c, mult(op_c, op_c)), 76 ^ []))]]))).
% 104.74/104.88 ncf('1.3.2.1',plain,[-(mult(75 ^ [], mult(ld(op_c, mult(op_c, op_c)), 76 ^ [])) = mult(75 ^ [], mult(op_c, 76 ^ []))), 75 ^ [] = 75 ^ [], mult(ld(op_c, mult(op_c, op_c)), 76 ^ []) = mult(op_c, 76 ^ [])],extension(40 ^ 3,bind([[_39287, _39289, _39291, _39293], [mult(op_c, 76 ^ []), mult(ld(op_c, mult(op_c, op_c)), 76 ^ []), 75 ^ [], 75 ^ []]]))).
% 104.74/104.88 ncf('1.3.2.1.1',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 4,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.3.2.1.2',plain,[-(mult(ld(op_c, mult(op_c, op_c)), 76 ^ []) = mult(op_c, 76 ^ [])), ld(op_c, mult(op_c, op_c)) = op_c, 76 ^ [] = 76 ^ []],extension(40 ^ 4,bind([[_39287, _39289, _39291, _39293], [76 ^ [], 76 ^ [], op_c, ld(op_c, mult(op_c, op_c))]]))).
% 104.74/104.88 ncf('1.3.2.1.2.1',plain,[-(ld(op_c, mult(op_c, op_c)) = op_c)],extension(52 ^ 5,bind([[_39713, _39715], [op_c, op_c]]))).
% 104.74/104.88 ncf('1.3.2.1.2.2',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 5,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.3.2.2',plain,[-(mult(75 ^ [], mult(op_c, 76 ^ [])) = mult(mult(75 ^ [], op_d), 76 ^ [])), mult(mult(75 ^ [], op_d), 76 ^ []) = mult(75 ^ [], mult(op_c, 76 ^ []))],extension(4 ^ 3,bind([[_38044, _38046], [mult(75 ^ [], mult(op_c, 76 ^ [])), mult(mult(75 ^ [], op_d), 76 ^ [])]]))).
% 104.74/104.88 ncf('1.3.2.2.1',plain,[-(mult(mult(75 ^ [], op_d), 76 ^ []) = mult(75 ^ [], mult(op_c, 76 ^ []))), mult(mult(75 ^ [], op_d), 76 ^ []) = mult(mult(75 ^ [], ld(op_c, mult(op_c, op_c))), 76 ^ []), mult(mult(75 ^ [], ld(op_c, mult(op_c, op_c))), 76 ^ []) = mult(75 ^ [], mult(op_c, 76 ^ []))],extension(10 ^ 4,bind([[_38248, _38250, _38252], [mult(75 ^ [], mult(op_c, 76 ^ [])), mult(mult(75 ^ [], ld(op_c, mult(op_c, op_c))), 76 ^ []), mult(mult(75 ^ [], op_d), 76 ^ [])]]))).
% 104.74/104.88 ncf('1.3.2.2.1.1',plain,[-(mult(mult(75 ^ [], op_d), 76 ^ []) = mult(mult(75 ^ [], ld(op_c, mult(op_c, op_c))), 76 ^ [])), mult(75 ^ [], op_d) = mult(75 ^ [], ld(op_c, mult(op_c, op_c))), 76 ^ [] = 76 ^ []],extension(40 ^ 5,bind([[_39287, _39289, _39291, _39293], [76 ^ [], 76 ^ [], mult(75 ^ [], ld(op_c, mult(op_c, op_c))), mult(75 ^ [], op_d)]]))).
% 104.74/104.88 ncf('1.3.2.2.1.1.1',plain,[-(mult(75 ^ [], op_d) = mult(75 ^ [], ld(op_c, mult(op_c, op_c)))), 75 ^ [] = 75 ^ [], op_d = ld(op_c, mult(op_c, op_c))],extension(40 ^ 6,bind([[_39287, _39289, _39291, _39293], [ld(op_c, mult(op_c, op_c)), op_d, 75 ^ [], 75 ^ []]]))).
% 104.74/104.88 ncf('1.3.2.2.1.1.1.1',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 7,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.3.2.2.1.1.1.2',plain,[-(op_d = ld(op_c, mult(op_c, op_c)))],extension(70 ^ 7,bind([[_40607], [op_c]]))).
% 104.74/104.88 ncf('1.3.2.2.1.1.2',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 6,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.3.2.2.1.2',plain,[-(mult(mult(75 ^ [], ld(op_c, mult(op_c, op_c))), 76 ^ []) = mult(75 ^ [], mult(op_c, 76 ^ []))), mult(mult(75 ^ [], ld(op_c, mult(op_c, op_c))), 76 ^ []) = mult(mult(75 ^ [], op_c), 76 ^ []), mult(mult(75 ^ [], op_c), 76 ^ []) = mult(75 ^ [], mult(op_c, 76 ^ []))],extension(10 ^ 5,bind([[_38248, _38250, _38252], [mult(75 ^ [], mult(op_c, 76 ^ [])), mult(mult(75 ^ [], op_c), 76 ^ []), mult(mult(75 ^ [], ld(op_c, mult(op_c, op_c))), 76 ^ [])]]))).
% 104.74/104.88 ncf('1.3.2.2.1.2.1',plain,[-(mult(mult(75 ^ [], ld(op_c, mult(op_c, op_c))), 76 ^ []) = mult(mult(75 ^ [], op_c), 76 ^ [])), mult(75 ^ [], ld(op_c, mult(op_c, op_c))) = mult(75 ^ [], op_c), 76 ^ [] = 76 ^ []],extension(40 ^ 6,bind([[_39287, _39289, _39291, _39293], [76 ^ [], 76 ^ [], mult(75 ^ [], op_c), mult(75 ^ [], ld(op_c, mult(op_c, op_c)))]]))).
% 104.74/104.88 ncf('1.3.2.2.1.2.1.1',plain,[-(mult(75 ^ [], ld(op_c, mult(op_c, op_c))) = mult(75 ^ [], op_c)), 75 ^ [] = 75 ^ [], ld(op_c, mult(op_c, op_c)) = op_c],extension(40 ^ 7,bind([[_39287, _39289, _39291, _39293], [op_c, ld(op_c, mult(op_c, op_c)), 75 ^ [], 75 ^ []]]))).
% 104.74/104.88 ncf('1.3.2.2.1.2.1.1.1',plain,[-(75 ^ [] = 75 ^ [])],extension(2 ^ 8,bind([[_37937], [75 ^ []]]))).
% 104.74/104.88 ncf('1.3.2.2.1.2.1.1.2',plain,[-(ld(op_c, mult(op_c, op_c)) = op_c)],extension(52 ^ 8,bind([[_39713, _39715], [op_c, op_c]]))).
% 104.74/104.88 ncf('1.3.2.2.1.2.1.2',plain,[-(76 ^ [] = 76 ^ [])],extension(2 ^ 7,bind([[_37937], [76 ^ []]]))).
% 104.74/104.88 ncf('1.3.2.2.1.2.2',plain,[-(mult(mult(75 ^ [], op_c), 76 ^ []) = mult(75 ^ [], mult(op_c, 76 ^ []))), mult(75 ^ [], mult(op_c, 76 ^ [])) = mult(mult(75 ^ [], op_c), 76 ^ [])],extension(4 ^ 6,bind([[_38044, _38046], [mult(mult(75 ^ [], op_c), 76 ^ []), mult(75 ^ [], mult(op_c, 76 ^ []))]]))).
% 104.74/104.88 ncf('1.3.2.2.1.2.2.1',plain,[-(mult(75 ^ [], mult(op_c, 76 ^ [])) = mult(mult(75 ^ [], op_c), 76 ^ []))],extension(68 ^ 7,bind([[_40515, _40517], [75 ^ [], 76 ^ []]]))).
% 104.74/104.88 %-----------------------------------------------------
% 104.74/104.88 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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