TSTP Solution File: KLE067+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 11:25:23 EDT 2023

% Result   : Theorem 28.28s 28.27s
% Output   : Proof 28.28s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n010.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 03:00:57 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 28.28/28.27  
% 28.28/28.27  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 28.28/28.27  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.28/28.27  %-----------------------------------------------------
% 28.28/28.27  ncf(matrix, plain, [(106 ^ _29325) ^ [] : [domain(addition(domain(103 ^ []), domain(104 ^ []))) = addition(domain(103 ^ []), domain(104 ^ []))], (94 ^ _29325) ^ [_32933] : [-(addition(_32933, multiplication(domain(_32933), _32933)) = multiplication(domain(_32933), _32933))], (96 ^ _29325) ^ [_33038, _33040] : [-(domain(multiplication(_33040, _33038)) = domain(multiplication(_33040, domain(_33038))))], (98 ^ _29325) ^ [_33130] : [-(addition(domain(_33130), one) = one)], (100 ^ _29325) ^ [] : [-(domain(zero) = zero)], (102 ^ _29325) ^ [_33260, _33262] : [-(domain(addition(_33262, _33260)) = addition(domain(_33262), domain(_33260)))], (60 ^ _29325) ^ [_31450, _31452] : [-(addition(_31452, _31450) = addition(_31450, _31452))], (62 ^ _29325) ^ [_31564, _31566, _31568] : [-(addition(_31564, addition(_31566, _31568)) = addition(addition(_31564, _31566), _31568))], (64 ^ _29325) ^ [_31658] : [-(addition(_31658, zero) = _31658)], (66 ^ _29325) ^ [_31739] : [-(addition(_31739, _31739) = _31739)], (68 ^ _29325) ^ [_31848, _31850, _31852] : [-(multiplication(_31852, multiplication(_31850, _31848)) = multiplication(multiplication(_31852, _31850), _31848))], (70 ^ _29325) ^ [_31942] : [-(multiplication(_31942, one) = _31942)], (72 ^ _29325) ^ [_32023] : [-(multiplication(one, _32023) = _32023)], (74 ^ _29325) ^ [_32132, _32134, _32136] : [-(multiplication(_32136, addition(_32134, _32132)) = addition(multiplication(_32136, _32134), multiplication(_32136, _32132)))], (76 ^ _29325) ^ [_32257, _32259, _32261] : [-(multiplication(addition(_32261, _32259), _32257) = addition(multiplication(_32261, _32257), multiplication(_32259, _32257)))], (78 ^ _29325) ^ [_32354] : [-(multiplication(_32354, zero) = zero)], (80 ^ _29325) ^ [_32435] : [-(multiplication(zero, _32435) = zero)], (82 ^ _29325) ^ [_32554, _32556] : [leq(_32556, _32554), -(addition(_32556, _32554) = _32554)], (88 ^ _29325) ^ [_32722, _32724] : [addition(_32724, _32722) = _32722, -(leq(_32724, _32722))], (34 ^ _29325) ^ [_30547, _30549, _30551, _30553] : [-(multiplication(_30553, _30549) = multiplication(_30551, _30547)), _30553 = _30551, _30549 = _30547], (54 ^ _29325) ^ [_31217, _31219] : [_31219 = _31217, -(domain(_31219) = domain(_31217))], (44 ^ _29325) ^ [_30906, _30908, _30910, _30912] : [-(addition(_30912, _30908) = addition(_30910, _30906)), _30912 = _30910, _30908 = _30906], (20 ^ _29325) ^ [_30101, _30103, _30105, _30107] : [-(leq(_30105, _30101)), leq(_30107, _30103), _30107 = _30105, _30103 = _30101], (2 ^ _29325) ^ [_29469] : [-(_29469 = _29469)], (4 ^ _29325) ^ [_29576, _29578] : [_29578 = _29576, -(_29576 = _29578)], (10 ^ _29325) ^ [_29780, _29782, _29784] : [-(_29784 = _29780), _29784 = _29782, _29782 = _29780]], input).
% 28.28/28.27  ncf('1',plain,[domain(addition(domain(103 ^ []), domain(104 ^ []))) = addition(domain(103 ^ []), domain(104 ^ []))],start(106 ^ 0)).
% 28.28/28.27  ncf('1.1',plain,[-(domain(addition(domain(103 ^ []), domain(104 ^ []))) = addition(domain(103 ^ []), domain(104 ^ []))), domain(addition(domain(103 ^ []), domain(104 ^ []))) = domain(multiplication(one, domain(addition(103 ^ [], 104 ^ [])))), domain(multiplication(one, domain(addition(103 ^ [], 104 ^ [])))) = addition(domain(103 ^ []), domain(104 ^ []))],extension(10 ^ 1,bind([[_29780, _29782, _29784], [addition(domain(103 ^ []), domain(104 ^ [])), domain(multiplication(one, domain(addition(103 ^ [], 104 ^ [])))), domain(addition(domain(103 ^ []), domain(104 ^ [])))]]))).
% 28.28/28.27  ncf('1.1.1',plain,[-(domain(addition(domain(103 ^ []), domain(104 ^ []))) = domain(multiplication(one, domain(addition(103 ^ [], 104 ^ []))))), addition(domain(103 ^ []), domain(104 ^ [])) = multiplication(one, domain(addition(103 ^ [], 104 ^ [])))],extension(54 ^ 2,bind([[_31217, _31219], [multiplication(one, domain(addition(103 ^ [], 104 ^ []))), addition(domain(103 ^ []), domain(104 ^ []))]]))).
% 28.28/28.27  ncf('1.1.1.1',plain,[-(addition(domain(103 ^ []), domain(104 ^ [])) = multiplication(one, domain(addition(103 ^ [], 104 ^ [])))), multiplication(one, domain(addition(103 ^ [], 104 ^ []))) = addition(domain(103 ^ []), domain(104 ^ []))],extension(4 ^ 3,bind([[_29576, _29578], [addition(domain(103 ^ []), domain(104 ^ [])), multiplication(one, domain(addition(103 ^ [], 104 ^ [])))]]))).
% 28.28/28.27  ncf('1.1.1.1.1',plain,[-(multiplication(one, domain(addition(103 ^ [], 104 ^ []))) = addition(domain(103 ^ []), domain(104 ^ []))), multiplication(one, domain(addition(103 ^ [], 104 ^ []))) = domain(addition(103 ^ [], 104 ^ [])), domain(addition(103 ^ [], 104 ^ [])) = addition(domain(103 ^ []), domain(104 ^ []))],extension(10 ^ 4,bind([[_29780, _29782, _29784], [addition(domain(103 ^ []), domain(104 ^ [])), domain(addition(103 ^ [], 104 ^ [])), multiplication(one, domain(addition(103 ^ [], 104 ^ [])))]]))).
% 28.28/28.27  ncf('1.1.1.1.1.1',plain,[-(multiplication(one, domain(addition(103 ^ [], 104 ^ []))) = domain(addition(103 ^ [], 104 ^ [])))],extension(72 ^ 5,bind([[_32023], [domain(addition(103 ^ [], 104 ^ []))]]))).
% 28.28/28.27  ncf('1.1.1.1.1.2',plain,[-(domain(addition(103 ^ [], 104 ^ [])) = addition(domain(103 ^ []), domain(104 ^ [])))],extension(102 ^ 5,bind([[_33260, _33262], [104 ^ [], 103 ^ []]]))).
% 28.28/28.27  ncf('1.1.2',plain,[-(domain(multiplication(one, domain(addition(103 ^ [], 104 ^ [])))) = addition(domain(103 ^ []), domain(104 ^ []))), domain(multiplication(one, domain(addition(103 ^ [], 104 ^ [])))) = domain(multiplication(one, addition(103 ^ [], 104 ^ []))), domain(multiplication(one, addition(103 ^ [], 104 ^ []))) = addition(domain(103 ^ []), domain(104 ^ []))],extension(10 ^ 2,bind([[_29780, _29782, _29784], [addition(domain(103 ^ []), domain(104 ^ [])), domain(multiplication(one, addition(103 ^ [], 104 ^ []))), domain(multiplication(one, domain(addition(103 ^ [], 104 ^ []))))]]))).
% 28.28/28.27  ncf('1.1.2.1',plain,[-(domain(multiplication(one, domain(addition(103 ^ [], 104 ^ [])))) = domain(multiplication(one, addition(103 ^ [], 104 ^ [])))), domain(multiplication(one, addition(103 ^ [], 104 ^ []))) = domain(multiplication(one, domain(addition(103 ^ [], 104 ^ []))))],extension(4 ^ 3,bind([[_29576, _29578], [domain(multiplication(one, domain(addition(103 ^ [], 104 ^ [])))), domain(multiplication(one, addition(103 ^ [], 104 ^ [])))]]))).
% 28.28/28.27  ncf('1.1.2.1.1',plain,[-(domain(multiplication(one, addition(103 ^ [], 104 ^ []))) = domain(multiplication(one, domain(addition(103 ^ [], 104 ^ [])))))],extension(96 ^ 4,bind([[_33038, _33040], [addition(103 ^ [], 104 ^ []), one]]))).
% 28.28/28.27  ncf('1.1.2.2',plain,[-(domain(multiplication(one, addition(103 ^ [], 104 ^ []))) = addition(domain(103 ^ []), domain(104 ^ []))), domain(multiplication(one, addition(103 ^ [], 104 ^ []))) = domain(addition(103 ^ [], 104 ^ [])), domain(addition(103 ^ [], 104 ^ [])) = addition(domain(103 ^ []), domain(104 ^ []))],extension(10 ^ 3,bind([[_29780, _29782, _29784], [addition(domain(103 ^ []), domain(104 ^ [])), domain(addition(103 ^ [], 104 ^ [])), domain(multiplication(one, addition(103 ^ [], 104 ^ [])))]]))).
% 28.28/28.27  ncf('1.1.2.2.1',plain,[-(domain(multiplication(one, addition(103 ^ [], 104 ^ []))) = domain(addition(103 ^ [], 104 ^ []))), multiplication(one, addition(103 ^ [], 104 ^ [])) = addition(103 ^ [], 104 ^ [])],extension(54 ^ 4,bind([[_31217, _31219], [addition(103 ^ [], 104 ^ []), multiplication(one, addition(103 ^ [], 104 ^ []))]]))).
% 28.28/28.27  ncf('1.1.2.2.1.1',plain,[-(multiplication(one, addition(103 ^ [], 104 ^ [])) = addition(103 ^ [], 104 ^ []))],extension(72 ^ 5,bind([[_32023], [addition(103 ^ [], 104 ^ [])]]))).
% 28.28/28.27  ncf('1.1.2.2.2',plain,[-(domain(addition(103 ^ [], 104 ^ [])) = addition(domain(103 ^ []), domain(104 ^ [])))],extension(102 ^ 4,bind([[_33260, _33262], [104 ^ [], 103 ^ []]]))).
% 28.28/28.27  %-----------------------------------------------------
% 28.28/28.27  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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