TSTP Solution File: KLE053+1 by nanoCoP---2.0
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- Process Solution
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% File : nanoCoP---2.0
% Problem : KLE053+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 11:25:21 EDT 2023
% Result : Theorem 0.33s 1.37s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE053+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 19 03:32:42 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.33/1.37
% 0.33/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 ncf(matrix, plain, [(105 ^ _28050) ^ [] : [domain(domain(103 ^ [])) = domain(103 ^ [])], (94 ^ _28050) ^ [_31658] : [-(addition(_31658, multiplication(domain(_31658), _31658)) = multiplication(domain(_31658), _31658))], (96 ^ _28050) ^ [_31763, _31765] : [-(domain(multiplication(_31765, _31763)) = domain(multiplication(_31765, domain(_31763))))], (98 ^ _28050) ^ [_31855] : [-(addition(domain(_31855), one) = one)], (100 ^ _28050) ^ [] : [-(domain(zero) = zero)], (102 ^ _28050) ^ [_31985, _31987] : [-(domain(addition(_31987, _31985)) = addition(domain(_31987), domain(_31985)))], (60 ^ _28050) ^ [_30175, _30177] : [-(addition(_30177, _30175) = addition(_30175, _30177))], (62 ^ _28050) ^ [_30289, _30291, _30293] : [-(addition(_30289, addition(_30291, _30293)) = addition(addition(_30289, _30291), _30293))], (64 ^ _28050) ^ [_30383] : [-(addition(_30383, zero) = _30383)], (66 ^ _28050) ^ [_30464] : [-(addition(_30464, _30464) = _30464)], (68 ^ _28050) ^ [_30573, _30575, _30577] : [-(multiplication(_30577, multiplication(_30575, _30573)) = multiplication(multiplication(_30577, _30575), _30573))], (70 ^ _28050) ^ [_30667] : [-(multiplication(_30667, one) = _30667)], (72 ^ _28050) ^ [_30748] : [-(multiplication(one, _30748) = _30748)], (74 ^ _28050) ^ [_30857, _30859, _30861] : [-(multiplication(_30861, addition(_30859, _30857)) = addition(multiplication(_30861, _30859), multiplication(_30861, _30857)))], (76 ^ _28050) ^ [_30982, _30984, _30986] : [-(multiplication(addition(_30986, _30984), _30982) = addition(multiplication(_30986, _30982), multiplication(_30984, _30982)))], (78 ^ _28050) ^ [_31079] : [-(multiplication(_31079, zero) = zero)], (80 ^ _28050) ^ [_31160] : [-(multiplication(zero, _31160) = zero)], (82 ^ _28050) ^ [_31279, _31281] : [leq(_31281, _31279), -(addition(_31281, _31279) = _31279)], (88 ^ _28050) ^ [_31447, _31449] : [addition(_31449, _31447) = _31447, -(leq(_31449, _31447))], (34 ^ _28050) ^ [_29272, _29274, _29276, _29278] : [-(multiplication(_29278, _29274) = multiplication(_29276, _29272)), _29278 = _29276, _29274 = _29272], (54 ^ _28050) ^ [_29942, _29944] : [_29944 = _29942, -(domain(_29944) = domain(_29942))], (44 ^ _28050) ^ [_29631, _29633, _29635, _29637] : [-(addition(_29637, _29633) = addition(_29635, _29631)), _29637 = _29635, _29633 = _29631], (20 ^ _28050) ^ [_28826, _28828, _28830, _28832] : [-(leq(_28830, _28826)), leq(_28832, _28828), _28832 = _28830, _28828 = _28826], (2 ^ _28050) ^ [_28194] : [-(_28194 = _28194)], (4 ^ _28050) ^ [_28301, _28303] : [_28303 = _28301, -(_28301 = _28303)], (10 ^ _28050) ^ [_28505, _28507, _28509] : [-(_28509 = _28505), _28509 = _28507, _28507 = _28505]], input).
% 0.33/1.37 ncf('1',plain,[domain(domain(103 ^ [])) = domain(103 ^ [])],start(105 ^ 0)).
% 0.33/1.37 ncf('1.1',plain,[-(domain(domain(103 ^ [])) = domain(103 ^ [])), domain(domain(103 ^ [])) = domain(multiplication(one, domain(103 ^ []))), domain(multiplication(one, domain(103 ^ []))) = domain(103 ^ [])],extension(10 ^ 1,bind([[_28505, _28507, _28509], [domain(103 ^ []), domain(multiplication(one, domain(103 ^ []))), domain(domain(103 ^ []))]]))).
% 0.33/1.37 ncf('1.1.1',plain,[-(domain(domain(103 ^ [])) = domain(multiplication(one, domain(103 ^ [])))), domain(103 ^ []) = multiplication(one, domain(103 ^ []))],extension(54 ^ 2,bind([[_29942, _29944], [multiplication(one, domain(103 ^ [])), domain(103 ^ [])]]))).
% 0.33/1.37 ncf('1.1.1.1',plain,[-(domain(103 ^ []) = multiplication(one, domain(103 ^ []))), multiplication(one, domain(103 ^ [])) = domain(103 ^ [])],extension(4 ^ 3,bind([[_28301, _28303], [domain(103 ^ []), multiplication(one, domain(103 ^ []))]]))).
% 0.33/1.37 ncf('1.1.1.1.1',plain,[-(multiplication(one, domain(103 ^ [])) = domain(103 ^ []))],extension(72 ^ 4,bind([[_30748], [domain(103 ^ [])]]))).
% 0.33/1.37 ncf('1.1.2',plain,[-(domain(multiplication(one, domain(103 ^ []))) = domain(103 ^ [])), domain(multiplication(one, domain(103 ^ []))) = domain(multiplication(one, 103 ^ [])), domain(multiplication(one, 103 ^ [])) = domain(103 ^ [])],extension(10 ^ 2,bind([[_28505, _28507, _28509], [domain(103 ^ []), domain(multiplication(one, 103 ^ [])), domain(multiplication(one, domain(103 ^ [])))]]))).
% 0.33/1.37 ncf('1.1.2.1',plain,[-(domain(multiplication(one, domain(103 ^ []))) = domain(multiplication(one, 103 ^ []))), domain(multiplication(one, 103 ^ [])) = domain(multiplication(one, domain(103 ^ [])))],extension(4 ^ 3,bind([[_28301, _28303], [domain(multiplication(one, domain(103 ^ []))), domain(multiplication(one, 103 ^ []))]]))).
% 0.33/1.37 ncf('1.1.2.1.1',plain,[-(domain(multiplication(one, 103 ^ [])) = domain(multiplication(one, domain(103 ^ []))))],extension(96 ^ 4,bind([[_31763, _31765], [103 ^ [], one]]))).
% 0.33/1.37 ncf('1.1.2.2',plain,[-(domain(multiplication(one, 103 ^ [])) = domain(103 ^ [])), multiplication(one, 103 ^ []) = 103 ^ []],extension(54 ^ 3,bind([[_29942, _29944], [103 ^ [], multiplication(one, 103 ^ [])]]))).
% 0.33/1.37 ncf('1.1.2.2.1',plain,[-(multiplication(one, 103 ^ []) = 103 ^ [])],extension(72 ^ 4,bind([[_30748], [103 ^ []]]))).
% 0.33/1.37 %-----------------------------------------------------
% 0.33/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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