TSTP Solution File: ALG179+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : ALG179+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n032.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 10:08:09 EDT 2023
% Result : Theorem 231.30s 228.95s
% Output : Proof 231.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG179+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.10 % Command : nanocop.sh %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu May 18 23:12:50 EDT 2023
% 0.13/0.29 % CPUTime :
% 231.30/228.95
% 231.30/228.95 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 231.30/228.95 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 231.30/228.95 %-----------------------------------------------------
% 231.30/228.95 ncf(matrix, plain, [(110 ^ _28788) ^ [_32581] : [sorti1(_32581), -(sorti2(h(_32581)))], (66 ^ _28788) ^ [_31050, _31052] : [_31052 = _31050, -(h(_31052) = h(_31050))], (30 ^ _28788) ^ [_29831, _29833] : [-(sorti1(_29831)), _29833 = _29831, sorti1(_29833)], (4 ^ _28788) ^ [_29039, _29041] : [_29041 = _29039, -(_29039 = _29041)], (122 ^ _28788) ^ [_32943] : [sorti1(_32943), 125 ^ _28788 : [(126 ^ _28788) ^ [_33085] : [sorti1(_33085), -(h(op1(_32943, _33085)) = op2(h(_32943), h(_33085)))]]], (20 ^ _28788) ^ [_29556, _29558] : [-(sorti2(_29556)), _29558 = _29556, sorti2(_29558)], (103 ^ _28788) ^ [] : [-(sorti2(101 ^ []))], (2 ^ _28788) ^ [_28932] : [-(_28932 = _28932)], (142 ^ _28788) ^ [_33677] : [sorti2(_33677), -(h(j(_33677)) = _33677)], (132 ^ _28788) ^ [_33310] : [sorti2(_33310), 135 ^ _28788 : [(136 ^ _28788) ^ [_33452] : [sorti2(_33452), -(j(op2(_33310, _33452)) = op1(j(_33310), j(_33452)))]]], (106 ^ _28788) ^ [] : [-(sorti2(104 ^ []))], (50 ^ _28788) ^ [_30521, _30523, _30525, _30527] : [-(op1(_30527, _30523) = op1(_30525, _30521)), _30527 = _30525, _30523 = _30521], (60 ^ _28788) ^ [_30852, _30854] : [_30854 = _30852, -(j(_30854) = j(_30852))], (148 ^ _28788) ^ [_33853] : [sorti1(_33853), -(j(h(_33853)) = _33853)], (108 ^ _28788) ^ [] : [op2(op2(101 ^ [], 104 ^ []), 104 ^ []) = 101 ^ []], (10 ^ _28788) ^ [_29243, _29245, _29247] : [-(_29247 = _29243), _29247 = _29245, _29245 = _29243], (116 ^ _28788) ^ [_32751] : [sorti2(_32751), -(sorti1(j(_32751)))], (92 ^ _28788) ^ [_31942] : [sorti1(_31942), 95 ^ _28788 : [(96 ^ _28788) ^ [_32078] : [sorti1(_32078), -(op1(op1(_31942, _32078), _32078) = _31942)]]], (40 ^ _28788) ^ [_30162, _30164, _30166, _30168] : [-(op2(_30168, _30164) = op2(_30166, _30162)), _30168 = _30166, _30164 = _30162], (82 ^ _28788) ^ [_31605] : [sorti2(_31605), 85 ^ _28788 : [(86 ^ _28788) ^ [_31737] : [sorti2(_31737), -(sorti2(op2(_31605, _31737)))]]], (72 ^ _28788) ^ [_31268] : [sorti1(_31268), 75 ^ _28788 : [(76 ^ _28788) ^ [_31400] : [sorti1(_31400), -(sorti1(op1(_31268, _31400)))]]]], input).
% 231.30/228.95 ncf('1',plain,[op2(op2(101 ^ [], 104 ^ []), 104 ^ []) = 101 ^ []],start(108 ^ 0)).
% 231.30/228.95 ncf('1.1',plain,[-(op2(op2(101 ^ [], 104 ^ []), 104 ^ []) = 101 ^ []), op2(op2(101 ^ [], 104 ^ []), 104 ^ []) = h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))), h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))) = 101 ^ []],extension(10 ^ 1,bind([[_29243, _29245, _29247], [101 ^ [], h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))), op2(op2(101 ^ [], 104 ^ []), 104 ^ [])]]))).
% 231.30/228.95 ncf('1.1.1',plain,[-(op2(op2(101 ^ [], 104 ^ []), 104 ^ []) = h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ [])))), h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))) = op2(op2(101 ^ [], 104 ^ []), 104 ^ [])],extension(4 ^ 2,bind([[_29039, _29041], [op2(op2(101 ^ [], 104 ^ []), 104 ^ []), h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ [])))]]))).
% 231.30/228.95 ncf('1.1.1.1',plain,[-(h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))) = op2(op2(101 ^ [], 104 ^ []), 104 ^ [])), sorti2(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))],extension(142 ^ 3,bind([[_33677], [op2(op2(101 ^ [], 104 ^ []), 104 ^ [])]]))).
% 231.30/228.95 ncf('1.1.1.1.1',plain,[-(sorti2(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))), 86 : sorti2(104 ^ []), 86 : sorti2(op2(101 ^ [], 104 ^ []))],extension(82 ^ 4,bind([[_31605, _31737], [op2(101 ^ [], 104 ^ []), 104 ^ []]]))).
% 231.30/228.95 ncf('1.1.1.1.1.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 7)).
% 231.30/228.95 ncf('1.1.1.1.1.2',plain,[-(sorti2(op2(101 ^ [], 104 ^ []))), 86 : sorti2(104 ^ []), 86 : sorti2(101 ^ [])],extension(82 ^ 5,bind([[_31605, _31737], [101 ^ [], 104 ^ []]]))).
% 231.30/228.95 ncf('1.1.1.1.1.2.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 8)).
% 231.30/228.95 ncf('1.1.1.1.1.2.2',plain,[-(sorti2(101 ^ []))],extension(103 ^ 6)).
% 231.30/228.95 ncf('1.1.2',plain,[-(h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))) = 101 ^ []), h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))) = h(op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))), h(op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))) = 101 ^ []],extension(10 ^ 2,bind([[_29243, _29245, _29247], [101 ^ [], h(op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))), h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ [])))]]))).
% 231.30/228.95 ncf('1.1.2.1',plain,[-(h(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))) = h(op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ [])))), j(op2(op2(101 ^ [], 104 ^ []), 104 ^ [])) = op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))],extension(66 ^ 3,bind([[_31050, _31052], [op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ [])), j(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))]]))).
% 231.30/228.95 ncf('1.1.2.1.1',plain,[-(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ [])) = op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))), j(op2(op2(101 ^ [], 104 ^ []), 104 ^ [])) = op1(j(op2(101 ^ [], 104 ^ [])), j(104 ^ [])), op1(j(op2(101 ^ [], 104 ^ [])), j(104 ^ [])) = op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))],extension(10 ^ 4,bind([[_29243, _29245, _29247], [op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ [])), op1(j(op2(101 ^ [], 104 ^ [])), j(104 ^ [])), j(op2(op2(101 ^ [], 104 ^ []), 104 ^ []))]]))).
% 231.30/228.95 ncf('1.1.2.1.1.1',plain,[-(j(op2(op2(101 ^ [], 104 ^ []), 104 ^ [])) = op1(j(op2(101 ^ [], 104 ^ [])), j(104 ^ []))), 136 : sorti2(104 ^ []), 136 : sorti2(op2(101 ^ [], 104 ^ []))],extension(132 ^ 5,bind([[_33310, _33452], [op2(101 ^ [], 104 ^ []), 104 ^ []]]))).
% 231.30/228.95 ncf('1.1.2.1.1.1.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 8)).
% 231.30/228.95 ncf('1.1.2.1.1.1.2',plain,[-(sorti2(op2(101 ^ [], 104 ^ []))), 86 : sorti2(104 ^ []), 86 : sorti2(101 ^ [])],extension(82 ^ 6,bind([[_31605, _31737], [101 ^ [], 104 ^ []]]))).
% 231.30/228.95 ncf('1.1.2.1.1.1.2.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 9)).
% 231.30/228.95 ncf('1.1.2.1.1.1.2.2',plain,[-(sorti2(101 ^ []))],extension(103 ^ 7)).
% 231.30/228.95 ncf('1.1.2.1.1.2',plain,[-(op1(j(op2(101 ^ [], 104 ^ [])), j(104 ^ [])) = op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))), j(op2(101 ^ [], 104 ^ [])) = op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []) = j(104 ^ [])],extension(50 ^ 5,bind([[_30521, _30523, _30525, _30527], [j(104 ^ []), j(104 ^ []), op1(j(101 ^ []), j(104 ^ [])), j(op2(101 ^ [], 104 ^ []))]]))).
% 231.30/228.95 ncf('1.1.2.1.1.2.1',plain,[-(j(op2(101 ^ [], 104 ^ [])) = op1(j(101 ^ []), j(104 ^ []))), 136 : sorti2(104 ^ []), 136 : sorti2(101 ^ [])],extension(132 ^ 6,bind([[_33310, _33452], [101 ^ [], 104 ^ []]]))).
% 231.30/228.95 ncf('1.1.2.1.1.2.1.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 9)).
% 231.30/228.95 ncf('1.1.2.1.1.2.1.2',plain,[-(sorti2(101 ^ []))],extension(103 ^ 7)).
% 231.30/228.95 ncf('1.1.2.1.1.2.2',plain,[-(j(104 ^ []) = j(104 ^ []))],extension(2 ^ 6,bind([[_28932], [j(104 ^ [])]]))).
% 231.30/228.95 ncf('1.1.2.2',plain,[-(h(op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))) = 101 ^ []), h(op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))) = h(j(101 ^ [])), h(j(101 ^ [])) = 101 ^ []],extension(10 ^ 3,bind([[_29243, _29245, _29247], [101 ^ [], h(j(101 ^ [])), h(op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ [])))]]))).
% 231.30/228.95 ncf('1.1.2.2.1',plain,[-(h(op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))) = h(j(101 ^ []))), op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ [])) = j(101 ^ [])],extension(66 ^ 4,bind([[_31050, _31052], [j(101 ^ []), op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ []))]]))).
% 231.30/228.95 ncf('1.1.2.2.1.1',plain,[-(op1(op1(j(101 ^ []), j(104 ^ [])), j(104 ^ [])) = j(101 ^ [])), 96 : sorti1(j(104 ^ [])), 96 : sorti1(j(101 ^ []))],extension(92 ^ 5,bind([[_31942, _32078], [j(101 ^ []), j(104 ^ [])]]))).
% 231.30/228.95 ncf('1.1.2.2.1.1.1',plain,[-(sorti1(j(104 ^ []))), sorti2(104 ^ [])],extension(116 ^ 8,bind([[_32751], [104 ^ []]]))).
% 231.30/228.95 ncf('1.1.2.2.1.1.1.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 9)).
% 231.30/228.95 ncf('1.1.2.2.1.1.2',plain,[-(sorti1(j(101 ^ []))), sorti2(101 ^ [])],extension(116 ^ 6,bind([[_32751], [101 ^ []]]))).
% 231.30/228.95 ncf('1.1.2.2.1.1.2.1',plain,[-(sorti2(101 ^ []))],extension(103 ^ 7)).
% 231.30/228.95 ncf('1.1.2.2.2',plain,[-(h(j(101 ^ [])) = 101 ^ []), sorti2(101 ^ [])],extension(142 ^ 4,bind([[_33677], [101 ^ []]]))).
% 231.30/228.95 ncf('1.1.2.2.2.1',plain,[-(sorti2(101 ^ []))],extension(103 ^ 5)).
% 231.30/228.95 %-----------------------------------------------------
% 231.30/228.95 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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