TSTP Solution File: KLE058+1 by nanoCoP---2.0
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- Process Solution
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% File : nanoCoP---2.0
% Problem : KLE058+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 11:25:22 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
% 0.07/0.11 % Problem : KLE058+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n023.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 03:27:44 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.36/1.37
% 0.36/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 ncf(matrix, plain, [(104 ^ _28195) ^ [] : [domain(one) = one], (94 ^ _28195) ^ [_31803] : [-(addition(_31803, multiplication(domain(_31803), _31803)) = multiplication(domain(_31803), _31803))], (96 ^ _28195) ^ [_31908, _31910] : [-(domain(multiplication(_31910, _31908)) = domain(multiplication(_31910, domain(_31908))))], (98 ^ _28195) ^ [_32000] : [-(addition(domain(_32000), one) = one)], (100 ^ _28195) ^ [] : [-(domain(zero) = zero)], (102 ^ _28195) ^ [_32130, _32132] : [-(domain(addition(_32132, _32130)) = addition(domain(_32132), domain(_32130)))], (60 ^ _28195) ^ [_30320, _30322] : [-(addition(_30322, _30320) = addition(_30320, _30322))], (62 ^ _28195) ^ [_30434, _30436, _30438] : [-(addition(_30434, addition(_30436, _30438)) = addition(addition(_30434, _30436), _30438))], (64 ^ _28195) ^ [_30528] : [-(addition(_30528, zero) = _30528)], (66 ^ _28195) ^ [_30609] : [-(addition(_30609, _30609) = _30609)], (68 ^ _28195) ^ [_30718, _30720, _30722] : [-(multiplication(_30722, multiplication(_30720, _30718)) = multiplication(multiplication(_30722, _30720), _30718))], (70 ^ _28195) ^ [_30812] : [-(multiplication(_30812, one) = _30812)], (72 ^ _28195) ^ [_30893] : [-(multiplication(one, _30893) = _30893)], (74 ^ _28195) ^ [_31002, _31004, _31006] : [-(multiplication(_31006, addition(_31004, _31002)) = addition(multiplication(_31006, _31004), multiplication(_31006, _31002)))], (76 ^ _28195) ^ [_31127, _31129, _31131] : [-(multiplication(addition(_31131, _31129), _31127) = addition(multiplication(_31131, _31127), multiplication(_31129, _31127)))], (78 ^ _28195) ^ [_31224] : [-(multiplication(_31224, zero) = zero)], (80 ^ _28195) ^ [_31305] : [-(multiplication(zero, _31305) = zero)], (82 ^ _28195) ^ [_31424, _31426] : [leq(_31426, _31424), -(addition(_31426, _31424) = _31424)], (88 ^ _28195) ^ [_31592, _31594] : [addition(_31594, _31592) = _31592, -(leq(_31594, _31592))], (34 ^ _28195) ^ [_29417, _29419, _29421, _29423] : [-(multiplication(_29423, _29419) = multiplication(_29421, _29417)), _29423 = _29421, _29419 = _29417], (54 ^ _28195) ^ [_30087, _30089] : [_30089 = _30087, -(domain(_30089) = domain(_30087))], (44 ^ _28195) ^ [_29776, _29778, _29780, _29782] : [-(addition(_29782, _29778) = addition(_29780, _29776)), _29782 = _29780, _29778 = _29776], (20 ^ _28195) ^ [_28971, _28973, _28975, _28977] : [-(leq(_28975, _28971)), leq(_28977, _28973), _28977 = _28975, _28973 = _28971], (2 ^ _28195) ^ [_28339] : [-(_28339 = _28339)], (4 ^ _28195) ^ [_28446, _28448] : [_28448 = _28446, -(_28446 = _28448)], (10 ^ _28195) ^ [_28650, _28652, _28654] : [-(_28654 = _28650), _28654 = _28652, _28652 = _28650]], input).
% 0.36/1.37 ncf('1',plain,[domain(one) = one],start(104 ^ 0)).
% 0.36/1.37 ncf('1.1',plain,[-(domain(one) = one), domain(one) = addition(one, multiplication(domain(one), one)), addition(one, multiplication(domain(one), one)) = one],extension(10 ^ 1,bind([[_28650, _28652, _28654], [one, addition(one, multiplication(domain(one), one)), domain(one)]]))).
% 0.36/1.37 ncf('1.1.1',plain,[-(domain(one) = addition(one, multiplication(domain(one), one))), addition(one, multiplication(domain(one), one)) = domain(one)],extension(4 ^ 2,bind([[_28446, _28448], [domain(one), addition(one, multiplication(domain(one), one))]]))).
% 0.36/1.37 ncf('1.1.1.1',plain,[-(addition(one, multiplication(domain(one), one)) = domain(one)), addition(one, multiplication(domain(one), one)) = multiplication(domain(one), one), multiplication(domain(one), one) = domain(one)],extension(10 ^ 3,bind([[_28650, _28652, _28654], [domain(one), multiplication(domain(one), one), addition(one, multiplication(domain(one), one))]]))).
% 0.36/1.37 ncf('1.1.1.1.1',plain,[-(addition(one, multiplication(domain(one), one)) = multiplication(domain(one), one))],extension(94 ^ 4,bind([[_31803], [one]]))).
% 0.36/1.37 ncf('1.1.1.1.2',plain,[-(multiplication(domain(one), one) = domain(one))],extension(70 ^ 4,bind([[_30812], [domain(one)]]))).
% 0.36/1.37 ncf('1.1.2',plain,[-(addition(one, multiplication(domain(one), one)) = one), addition(one, multiplication(domain(one), one)) = addition(one, domain(one)), addition(one, domain(one)) = one],extension(10 ^ 2,bind([[_28650, _28652, _28654], [one, addition(one, domain(one)), addition(one, multiplication(domain(one), one))]]))).
% 0.36/1.37 ncf('1.1.2.1',plain,[-(addition(one, multiplication(domain(one), one)) = addition(one, domain(one))), one = one, multiplication(domain(one), one) = domain(one)],extension(44 ^ 3,bind([[_29776, _29778, _29780, _29782], [domain(one), multiplication(domain(one), one), one, one]]))).
% 0.36/1.37 ncf('1.1.2.1.1',plain,[-(one = one)],extension(2 ^ 4,bind([[_28339], [one]]))).
% 0.36/1.37 ncf('1.1.2.1.2',plain,[-(multiplication(domain(one), one) = domain(one))],extension(70 ^ 4,bind([[_30812], [domain(one)]]))).
% 0.36/1.37 ncf('1.1.2.2',plain,[-(addition(one, domain(one)) = one), addition(one, domain(one)) = addition(domain(one), one), addition(domain(one), one) = one],extension(10 ^ 3,bind([[_28650, _28652, _28654], [one, addition(domain(one), one), addition(one, domain(one))]]))).
% 0.36/1.37 ncf('1.1.2.2.1',plain,[-(addition(one, domain(one)) = addition(domain(one), one))],extension(60 ^ 4,bind([[_30320, _30322], [domain(one), one]]))).
% 0.36/1.37 ncf('1.1.2.2.2',plain,[-(addition(domain(one), one) = one)],extension(98 ^ 4,bind([[_32000], [one]]))).
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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