TSTP Solution File: KLE148+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : KLE148+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 11:25:29 EDT 2023
% Result : Theorem 185.43s 187.49s
% Output : Proof 185.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE148+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n019.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 : Fri May 19 03:13:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 185.43/187.49
% 185.43/187.49 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 185.43/187.49 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 185.43/187.49 %-----------------------------------------------------
% 185.43/187.49 ncf(matrix, plain, [(40 ^ _41159) ^ [_42599, _42601, _42603, _42605] : [-(addition(_42605, _42601) = addition(_42603, _42599)), _42605 = _42603, _42601 = _42599], (128 ^ _41159) ^ [] : [multiplication(123 ^ [], strong_iteration(124 ^ [])) = 123 ^ []], (20 ^ _41159) ^ [_41935, _41937, _41939, _41941] : [-(leq(_41939, _41935)), leq(_41941, _41937), _41941 = _41939, _41937 = _41935], (88 ^ _41159) ^ [_44559] : [-(addition(one, multiplication(star(_44559), _44559)) = star(_44559))], (72 ^ _41159) ^ [_43775] : [-(addition(_43775, _43775) = _43775)], (76 ^ _41159) ^ [_43978] : [-(multiplication(_43978, one) = _43978)], (82 ^ _41159) ^ [_44293, _44295, _44297] : [-(multiplication(addition(_44297, _44295), _44293) = addition(multiplication(_44297, _44293), multiplication(_44295, _44293)))], (84 ^ _41159) ^ [_44390] : [-(multiplication(zero, _44390) = zero)], (66 ^ _41159) ^ [_43486, _43488] : [-(addition(_43488, _43486) = addition(_43486, _43488))], (74 ^ _41159) ^ [_43884, _43886, _43888] : [-(multiplication(_43888, multiplication(_43886, _43884)) = multiplication(multiplication(_43888, _43886), _43884))], (104 ^ _41159) ^ [_45282, _45284, _45286] : [leq(_45282, addition(multiplication(_45286, _45282), _45284)), -(leq(_45282, multiplication(strong_iteration(_45286), _45284)))], (112 ^ _41159) ^ [_45619, _45621] : [leq(_45621, _45619), -(addition(_45621, _45619) = _45619)], (60 ^ _41159) ^ [_43269, _43271] : [_43271 = _43269, -(strong_iteration(_43271) = strong_iteration(_43269))], (10 ^ _41159) ^ [_41614, _41616, _41618] : [-(_41618 = _41614), _41618 = _41616, _41616 = _41614], (102 ^ _41159) ^ [_45151] : [-(strong_iteration(_45151) = addition(multiplication(_45151, strong_iteration(_45151)), one))], (86 ^ _41159) ^ [_44471] : [-(addition(one, multiplication(_44471, star(_44471))) = star(_44471))], (70 ^ _41159) ^ [_43694] : [-(addition(_43694, zero) = _43694)], (50 ^ _41159) ^ [_42958, _42960, _42962, _42964] : [-(multiplication(_42964, _42960) = multiplication(_42962, _42958)), _42964 = _42962, _42960 = _42958], (2 ^ _41159) ^ [_41303] : [-(_41303 = _41303)], (68 ^ _41159) ^ [_43600, _43602, _43604] : [-(addition(_43600, addition(_43602, _43604)) = addition(addition(_43600, _43602), _43604))], (126 ^ _41159) ^ [] : [-(multiplication(123 ^ [], 124 ^ []) = zero)], (4 ^ _41159) ^ [_41410, _41412] : [_41412 = _41410, -(_41410 = _41412)], (90 ^ _41159) ^ [_44690, _44692, _44694] : [leq(addition(multiplication(_44694, _44690), _44692), _44690), -(leq(multiplication(star(_44694), _44692), _44690))], (96 ^ _41159) ^ [_44942, _44944, _44946] : [leq(addition(multiplication(_44942, _44946), _44944), _44942), -(leq(multiplication(_44944, star(_44946)), _44942))], (78 ^ _41159) ^ [_44059] : [-(multiplication(one, _44059) = _44059)], (80 ^ _41159) ^ [_44168, _44170, _44172] : [-(multiplication(_44172, addition(_44170, _44168)) = addition(multiplication(_44172, _44170), multiplication(_44172, _44168)))], (34 ^ _41159) ^ [_42353, _42355] : [_42355 = _42353, -(star(_42355) = star(_42353))], (110 ^ _41159) ^ [_45491] : [-(strong_iteration(_45491) = addition(star(_45491), multiplication(strong_iteration(_45491), zero)))], (118 ^ _41159) ^ [_45787, _45789] : [addition(_45789, _45787) = _45787, -(leq(_45789, _45787))]], input).
% 185.43/187.49 ncf('1',plain,[multiplication(123 ^ [], strong_iteration(124 ^ [])) = 123 ^ []],start(128 ^ 0)).
% 185.43/187.49 ncf('1.1',plain,[-(multiplication(123 ^ [], strong_iteration(124 ^ [])) = 123 ^ []), multiplication(123 ^ [], strong_iteration(124 ^ [])) = addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ []))), addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ []))) = 123 ^ []],extension(10 ^ 1,bind([[_41614, _41616, _41618], [123 ^ [], addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ []))), multiplication(123 ^ [], strong_iteration(124 ^ []))]]))).
% 185.43/187.49 ncf('1.1.1',plain,[-(multiplication(123 ^ [], strong_iteration(124 ^ [])) = addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ [])))), multiplication(123 ^ [], strong_iteration(124 ^ [])) = addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ [])))), addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ [])))) = addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ [])))],extension(10 ^ 2,bind([[_41614, _41616, _41618], [addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ []))), addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ [])))), multiplication(123 ^ [], strong_iteration(124 ^ []))]]))).
% 185.43/187.49 ncf('1.1.1.1',plain,[-(multiplication(123 ^ [], strong_iteration(124 ^ [])) = addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))))), multiplication(123 ^ [], strong_iteration(124 ^ [])) = multiplication(123 ^ [], addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)), multiplication(123 ^ [], addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)) = addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))))],extension(10 ^ 3,bind([[_41614, _41616, _41618], [addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ [])))), multiplication(123 ^ [], addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)), multiplication(123 ^ [], strong_iteration(124 ^ []))]]))).
% 185.43/187.49 ncf('1.1.1.1.1',plain,[-(multiplication(123 ^ [], strong_iteration(124 ^ [])) = multiplication(123 ^ [], addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))), 123 ^ [] = 123 ^ [], strong_iteration(124 ^ []) = addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)],extension(50 ^ 4,bind([[_42958, _42960, _42962, _42964], [addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one), strong_iteration(124 ^ []), 123 ^ [], 123 ^ []]]))).
% 185.43/187.49 ncf('1.1.1.1.1.1',plain,[-(123 ^ [] = 123 ^ [])],extension(2 ^ 5,bind([[_41303], [123 ^ []]]))).
% 185.43/187.49 ncf('1.1.1.1.1.2',plain,[-(strong_iteration(124 ^ []) = addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))],extension(102 ^ 5,bind([[_45151], [124 ^ []]]))).
% 185.43/187.49 ncf('1.1.1.1.2',plain,[-(multiplication(123 ^ [], addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)) = addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))))), multiplication(123 ^ [], addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)) = addition(multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))), multiplication(123 ^ [], one)), addition(multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))), multiplication(123 ^ [], one)) = addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))))],extension(10 ^ 4,bind([[_41614, _41616, _41618], [addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ [])))), addition(multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))), multiplication(123 ^ [], one)), multiplication(123 ^ [], addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))]]))).
% 185.43/187.49 ncf('1.1.1.1.2.1',plain,[-(multiplication(123 ^ [], addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)) = addition(multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))), multiplication(123 ^ [], one)))],extension(80 ^ 5,bind([[_44168, _44170, _44172], [one, multiplication(124 ^ [], strong_iteration(124 ^ [])), 123 ^ []]]))).
% 185.43/187.49 ncf('1.1.1.1.2.2',plain,[-(addition(multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))), multiplication(123 ^ [], one)) = addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ [])))))],extension(66 ^ 5,bind([[_43486, _43488], [multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ [])))]]))).
% 185.43/187.49 ncf('1.1.1.2',plain,[-(addition(multiplication(123 ^ [], one), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ [])))) = addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ [])))), multiplication(123 ^ [], one) = 123 ^ [], multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))) = multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ []))],extension(40 ^ 3,bind([[_42599, _42601, _42603, _42605], [multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ [])), multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))), 123 ^ [], multiplication(123 ^ [], one)]]))).
% 185.43/187.49 ncf('1.1.1.2.1',plain,[-(multiplication(123 ^ [], one) = 123 ^ [])],extension(76 ^ 4,bind([[_43978], [123 ^ []]]))).
% 185.43/187.49 ncf('1.1.1.2.2',plain,[-(multiplication(123 ^ [], multiplication(124 ^ [], strong_iteration(124 ^ []))) = multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ [])))],extension(74 ^ 4,bind([[_43884, _43886, _43888], [strong_iteration(124 ^ []), 124 ^ [], 123 ^ []]]))).
% 185.43/187.49 ncf('1.1.2',plain,[-(addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ []))) = 123 ^ []), addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ []))) = addition(123 ^ [], multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))), addition(123 ^ [], multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))) = 123 ^ []],extension(10 ^ 2,bind([[_41614, _41616, _41618], [123 ^ [], addition(123 ^ [], multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))), addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ [])))]]))).
% 185.43/187.49 ncf('1.1.2.1',plain,[-(addition(123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ []))) = addition(123 ^ [], multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)))), 123 ^ [] = 123 ^ [], multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ [])) = multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))],extension(40 ^ 3,bind([[_42599, _42601, _42603, _42605], [multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)), multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ [])), 123 ^ [], 123 ^ []]]))).
% 185.43/187.49 ncf('1.1.2.1.1',plain,[-(123 ^ [] = 123 ^ [])],extension(2 ^ 4,bind([[_41303], [123 ^ []]]))).
% 185.43/187.49 ncf('1.1.2.1.2',plain,[-(multiplication(multiplication(123 ^ [], 124 ^ []), strong_iteration(124 ^ [])) = multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))), multiplication(123 ^ [], 124 ^ []) = zero, strong_iteration(124 ^ []) = addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)],extension(50 ^ 4,bind([[_42958, _42960, _42962, _42964], [addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one), strong_iteration(124 ^ []), zero, multiplication(123 ^ [], 124 ^ [])]]))).
% 185.43/187.49 ncf('1.1.2.1.2.1',plain,[-(multiplication(123 ^ [], 124 ^ []) = zero)],extension(126 ^ 5)).
% 185.43/187.49 ncf('1.1.2.1.2.2',plain,[-(strong_iteration(124 ^ []) = addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))],extension(102 ^ 5,bind([[_45151], [124 ^ []]]))).
% 185.43/187.49 ncf('1.1.2.2',plain,[-(addition(123 ^ [], multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))) = 123 ^ []), addition(123 ^ [], multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))) = addition(123 ^ [], zero), addition(123 ^ [], zero) = 123 ^ []],extension(10 ^ 3,bind([[_41614, _41616, _41618], [123 ^ [], addition(123 ^ [], zero), addition(123 ^ [], multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)))]]))).
% 185.43/187.49 ncf('1.1.2.2.1',plain,[-(addition(123 ^ [], multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one))) = addition(123 ^ [], zero)), 123 ^ [] = 123 ^ [], multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)) = zero],extension(40 ^ 4,bind([[_42599, _42601, _42603, _42605], [zero, multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)), 123 ^ [], 123 ^ []]]))).
% 185.43/187.49 ncf('1.1.2.2.1.1',plain,[-(123 ^ [] = 123 ^ [])],extension(2 ^ 5,bind([[_41303], [123 ^ []]]))).
% 185.43/187.49 ncf('1.1.2.2.1.2',plain,[-(multiplication(zero, addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)) = zero)],extension(84 ^ 5,bind([[_44390], [addition(multiplication(124 ^ [], strong_iteration(124 ^ [])), one)]]))).
% 185.43/187.49 ncf('1.1.2.2.2',plain,[-(addition(123 ^ [], zero) = 123 ^ []), addition(123 ^ [], zero) = 123 ^ [], 123 ^ [] = 123 ^ []],extension(10 ^ 4,bind([[_41614, _41616, _41618], [123 ^ [], 123 ^ [], addition(123 ^ [], zero)]]))).
% 185.43/187.49 ncf('1.1.2.2.2.1',plain,[-(addition(123 ^ [], zero) = 123 ^ [])],extension(70 ^ 5,bind([[_43694], [123 ^ []]]))).
% 185.43/187.49 ncf('1.1.2.2.2.2',plain,[-(123 ^ [] = 123 ^ [])],extension(2 ^ 5,bind([[_41303], [123 ^ []]]))).
% 185.43/187.49 %-----------------------------------------------------
% 185.43/187.49 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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