TSTP Solution File: KLE002+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KLE002+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 11:25:15 EDT 2023

% Result   : Theorem 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KLE002+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n013.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 03:00:50 EDT 2023
% 0.12/0.33  % 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, [(91 ^ _23436) ^ [] : [-(leq(87 ^ [], 88 ^ []))], (93 ^ _23436) ^ [] : [leq(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ []))], (54 ^ _23436) ^ [_25319, _25321] : [-(addition(_25321, _25319) = addition(_25319, _25321))], (56 ^ _23436) ^ [_25433, _25435, _25437] : [-(addition(_25433, addition(_25435, _25437)) = addition(addition(_25433, _25435), _25437))], (58 ^ _23436) ^ [_25527] : [-(addition(_25527, zero) = _25527)], (60 ^ _23436) ^ [_25608] : [-(addition(_25608, _25608) = _25608)], (62 ^ _23436) ^ [_25717, _25719, _25721] : [-(multiplication(_25721, multiplication(_25719, _25717)) = multiplication(multiplication(_25721, _25719), _25717))], (64 ^ _23436) ^ [_25811] : [-(multiplication(_25811, one) = _25811)], (66 ^ _23436) ^ [_25892] : [-(multiplication(one, _25892) = _25892)], (68 ^ _23436) ^ [_26001, _26003, _26005] : [-(multiplication(_26005, addition(_26003, _26001)) = addition(multiplication(_26005, _26003), multiplication(_26005, _26001)))], (70 ^ _23436) ^ [_26126, _26128, _26130] : [-(multiplication(addition(_26130, _26128), _26126) = addition(multiplication(_26130, _26126), multiplication(_26128, _26126)))], (72 ^ _23436) ^ [_26223] : [-(multiplication(_26223, zero) = zero)], (74 ^ _23436) ^ [_26304] : [-(multiplication(zero, _26304) = zero)], (76 ^ _23436) ^ [_26423, _26425] : [leq(_26425, _26423), -(addition(_26425, _26423) = _26423)], (82 ^ _23436) ^ [_26591, _26593] : [addition(_26593, _26591) = _26591, -(leq(_26593, _26591))], (34 ^ _23436) ^ [_24658, _24660, _24662, _24664] : [-(addition(_24664, _24660) = addition(_24662, _24658)), _24664 = _24662, _24660 = _24658], (44 ^ _23436) ^ [_24997, _24999, _25001, _25003] : [-(multiplication(_25003, _24999) = multiplication(_25001, _24997)), _25003 = _25001, _24999 = _24997], (20 ^ _23436) ^ [_24212, _24214, _24216, _24218] : [-(leq(_24216, _24212)), leq(_24218, _24214), _24218 = _24216, _24214 = _24212], (2 ^ _23436) ^ [_23580] : [-(_23580 = _23580)], (4 ^ _23436) ^ [_23687, _23689] : [_23689 = _23687, -(_23687 = _23689)], (10 ^ _23436) ^ [_23891, _23893, _23895] : [-(_23895 = _23891), _23895 = _23893, _23893 = _23891]], input).
% 0.33/1.37  ncf('1',plain,[leq(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ []))],start(93 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(leq(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ []))), addition(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ [])) = multiplication(88 ^ [], 89 ^ [])],extension(82 ^ 1,bind([[_26591, _26593], [multiplication(88 ^ [], 89 ^ []), multiplication(87 ^ [], 89 ^ [])]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(addition(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ [])) = multiplication(88 ^ [], 89 ^ [])), addition(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ [])) = multiplication(addition(87 ^ [], 88 ^ []), 89 ^ []), multiplication(addition(87 ^ [], 88 ^ []), 89 ^ []) = multiplication(88 ^ [], 89 ^ [])],extension(10 ^ 2,bind([[_23891, _23893, _23895], [multiplication(88 ^ [], 89 ^ []), multiplication(addition(87 ^ [], 88 ^ []), 89 ^ []), addition(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ []))]]))).
% 0.33/1.37  ncf('1.1.1.1',plain,[-(addition(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ [])) = multiplication(addition(87 ^ [], 88 ^ []), 89 ^ [])), multiplication(addition(87 ^ [], 88 ^ []), 89 ^ []) = addition(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ []))],extension(4 ^ 3,bind([[_23687, _23689], [addition(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ [])), multiplication(addition(87 ^ [], 88 ^ []), 89 ^ [])]]))).
% 0.33/1.37  ncf('1.1.1.1.1',plain,[-(multiplication(addition(87 ^ [], 88 ^ []), 89 ^ []) = addition(multiplication(87 ^ [], 89 ^ []), multiplication(88 ^ [], 89 ^ [])))],extension(70 ^ 4,bind([[_26126, _26128, _26130], [89 ^ [], 88 ^ [], 87 ^ []]]))).
% 0.33/1.37  ncf('1.1.1.2',plain,[-(multiplication(addition(87 ^ [], 88 ^ []), 89 ^ []) = multiplication(88 ^ [], 89 ^ [])), addition(87 ^ [], 88 ^ []) = 88 ^ [], 89 ^ [] = 89 ^ []],extension(44 ^ 3,bind([[_24997, _24999, _25001, _25003], [89 ^ [], 89 ^ [], 88 ^ [], addition(87 ^ [], 88 ^ [])]]))).
% 0.33/1.37  ncf('1.1.1.2.1',plain,[-(addition(87 ^ [], 88 ^ []) = 88 ^ []), leq(87 ^ [], 88 ^ [])],extension(76 ^ 4,bind([[_26423, _26425], [88 ^ [], 87 ^ []]]))).
% 0.33/1.37  ncf('1.1.1.2.1.1',plain,[-(leq(87 ^ [], 88 ^ []))],extension(91 ^ 5)).
% 0.33/1.37  ncf('1.1.1.2.2',plain,[-(89 ^ [] = 89 ^ [])],extension(2 ^ 4,bind([[_23580], [89 ^ []]]))).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------