TSTP Solution File: KLE138+1 by nanoCoP---2.0
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- Process Solution
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% File : nanoCoP---2.0
% Problem : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n018.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 11:25:28 EDT 2023
% Result : Theorem 0.36s 1.37s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE138+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 03:13:28 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.36/1.37
% 0.36/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 ncf(matrix, plain, [(124 ^ _32077) ^ [] : [strong_iteration(zero) = one], (66 ^ _32077) ^ [_34404, _34406] : [-(addition(_34406, _34404) = addition(_34404, _34406))], (68 ^ _32077) ^ [_34518, _34520, _34522] : [-(addition(_34518, addition(_34520, _34522)) = addition(addition(_34518, _34520), _34522))], (70 ^ _32077) ^ [_34612] : [-(addition(_34612, zero) = _34612)], (72 ^ _32077) ^ [_34693] : [-(addition(_34693, _34693) = _34693)], (74 ^ _32077) ^ [_34802, _34804, _34806] : [-(multiplication(_34806, multiplication(_34804, _34802)) = multiplication(multiplication(_34806, _34804), _34802))], (76 ^ _32077) ^ [_34896] : [-(multiplication(_34896, one) = _34896)], (78 ^ _32077) ^ [_34977] : [-(multiplication(one, _34977) = _34977)], (80 ^ _32077) ^ [_35086, _35088, _35090] : [-(multiplication(_35090, addition(_35088, _35086)) = addition(multiplication(_35090, _35088), multiplication(_35090, _35086)))], (82 ^ _32077) ^ [_35211, _35213, _35215] : [-(multiplication(addition(_35215, _35213), _35211) = addition(multiplication(_35215, _35211), multiplication(_35213, _35211)))], (84 ^ _32077) ^ [_35308] : [-(multiplication(zero, _35308) = zero)], (86 ^ _32077) ^ [_35389] : [-(addition(one, multiplication(_35389, star(_35389))) = star(_35389))], (88 ^ _32077) ^ [_35477] : [-(addition(one, multiplication(star(_35477), _35477)) = star(_35477))], (90 ^ _32077) ^ [_35608, _35610, _35612] : [leq(addition(multiplication(_35612, _35608), _35610), _35608), -(leq(multiplication(star(_35612), _35610), _35608))], (96 ^ _32077) ^ [_35860, _35862, _35864] : [leq(addition(multiplication(_35860, _35864), _35862), _35860), -(leq(multiplication(_35862, star(_35864)), _35860))], (102 ^ _32077) ^ [_36069] : [-(strong_iteration(_36069) = addition(multiplication(_36069, strong_iteration(_36069)), one))], (104 ^ _32077) ^ [_36200, _36202, _36204] : [leq(_36200, addition(multiplication(_36204, _36200), _36202)), -(leq(_36200, multiplication(strong_iteration(_36204), _36202)))], (110 ^ _32077) ^ [_36409] : [-(strong_iteration(_36409) = addition(star(_36409), multiplication(strong_iteration(_36409), zero)))], (112 ^ _32077) ^ [_36537, _36539] : [leq(_36539, _36537), -(addition(_36539, _36537) = _36537)], (118 ^ _32077) ^ [_36705, _36707] : [addition(_36707, _36705) = _36705, -(leq(_36707, _36705))], (20 ^ _32077) ^ [_32853, _32855, _32857, _32859] : [-(leq(_32857, _32853)), leq(_32859, _32855), _32859 = _32857, _32855 = _32853], (2 ^ _32077) ^ [_32221] : [-(_32221 = _32221)], (4 ^ _32077) ^ [_32328, _32330] : [_32330 = _32328, -(_32328 = _32330)], (10 ^ _32077) ^ [_32532, _32534, _32536] : [-(_32536 = _32532), _32536 = _32534, _32534 = _32532], (34 ^ _32077) ^ [_33271, _33273] : [_33273 = _33271, -(star(_33273) = star(_33271))], (40 ^ _32077) ^ [_33517, _33519, _33521, _33523] : [-(multiplication(_33523, _33519) = multiplication(_33521, _33517)), _33523 = _33521, _33519 = _33517], (60 ^ _32077) ^ [_34187, _34189] : [_34189 = _34187, -(strong_iteration(_34189) = strong_iteration(_34187))], (50 ^ _32077) ^ [_33876, _33878, _33880, _33882] : [-(addition(_33882, _33878) = addition(_33880, _33876)), _33882 = _33880, _33878 = _33876]], input).
% 0.36/1.37 ncf('1',plain,[strong_iteration(zero) = one],start(124 ^ 0)).
% 0.36/1.37 ncf('1.1',plain,[-(strong_iteration(zero) = one), strong_iteration(zero) = addition(multiplication(zero, strong_iteration(zero)), one), addition(multiplication(zero, strong_iteration(zero)), one) = one],extension(10 ^ 1,bind([[_32532, _32534, _32536], [one, addition(multiplication(zero, strong_iteration(zero)), one), strong_iteration(zero)]]))).
% 0.36/1.37 ncf('1.1.1',plain,[-(strong_iteration(zero) = addition(multiplication(zero, strong_iteration(zero)), one))],extension(102 ^ 2,bind([[_36069], [zero]]))).
% 0.36/1.37 ncf('1.1.2',plain,[-(addition(multiplication(zero, strong_iteration(zero)), one) = one), addition(multiplication(zero, strong_iteration(zero)), one) = addition(zero, one), addition(zero, one) = one],extension(10 ^ 2,bind([[_32532, _32534, _32536], [one, addition(zero, one), addition(multiplication(zero, strong_iteration(zero)), one)]]))).
% 0.36/1.37 ncf('1.1.2.1',plain,[-(addition(multiplication(zero, strong_iteration(zero)), one) = addition(zero, one)), multiplication(zero, strong_iteration(zero)) = zero, one = one],extension(50 ^ 3,bind([[_33876, _33878, _33880, _33882], [one, one, zero, multiplication(zero, strong_iteration(zero))]]))).
% 0.36/1.37 ncf('1.1.2.1.1',plain,[-(multiplication(zero, strong_iteration(zero)) = zero)],extension(84 ^ 4,bind([[_35308], [strong_iteration(zero)]]))).
% 0.36/1.37 ncf('1.1.2.1.2',plain,[-(one = one)],extension(2 ^ 4,bind([[_32221], [one]]))).
% 0.36/1.37 ncf('1.1.2.2',plain,[-(addition(zero, one) = one), addition(zero, one) = addition(one, zero), addition(one, zero) = one],extension(10 ^ 3,bind([[_32532, _32534, _32536], [one, addition(one, zero), addition(zero, one)]]))).
% 0.36/1.37 ncf('1.1.2.2.1',plain,[-(addition(zero, one) = addition(one, zero))],extension(66 ^ 4,bind([[_34404, _34406], [one, zero]]))).
% 0.36/1.37 ncf('1.1.2.2.2',plain,[-(addition(one, zero) = one)],extension(70 ^ 4,bind([[_34612], [one]]))).
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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