TSTP Solution File: ALG202+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : ALG202+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n008.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 10:08:12 EDT 2023
% Result : Theorem 0.74s 1.37s
% Output : Proof 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG202+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 23:23:24 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.74/1.37
% 0.74/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.74/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/1.37 %-----------------------------------------------------
% 0.74/1.37 ncf(matrix, plain, [(103 ^ _24812) ^ [_28334] : [sorti1(_28334), -(sorti2(h(_28334)))], (109 ^ _24812) ^ [_28504] : [sorti2(_28504), -(sorti1(j(_28504)))], (115 ^ _24812) ^ [_28696] : [sorti1(_28696), 118 ^ _24812 : [(119 ^ _24812) ^ [_28838] : [sorti1(_28838), -(h(op1(_28696, _28838)) = op2(h(_28696), h(_28838)))]]], (125 ^ _24812) ^ [_29063] : [sorti2(_29063), 128 ^ _24812 : [(129 ^ _24812) ^ [_29205] : [sorti2(_29205), -(j(op2(_29063, _29205)) = op1(j(_29063), j(_29205)))]]], (135 ^ _24812) ^ [_29430] : [sorti2(_29430), -(h(j(_29430)) = _29430)], (141 ^ _24812) ^ [_29606] : [sorti1(_29606), -(j(h(_29606)) = _29606)], (72 ^ _24812) ^ [_27292] : [sorti1(_27292), 75 ^ _24812 : [(76 ^ _24812) ^ [_27424] : [sorti1(_27424), -(sorti1(op1(_27292, _27424)))]]], (99 ^ _24812) ^ [] : [-(sorti2(97 ^ []))], (101 ^ _24812) ^ [] : [op2(97 ^ [], 97 ^ []) = 97 ^ []], (92 ^ _24812) ^ [_27966] : [sorti1(_27966), -(op1(_27966, _27966) = _27966)], (82 ^ _24812) ^ [_27629] : [sorti2(_27629), 85 ^ _24812 : [(86 ^ _24812) ^ [_27761] : [sorti2(_27761), -(sorti2(op2(_27629, _27761)))]]], (40 ^ _24812) ^ [_26186, _26188, _26190, _26192] : [-(op2(_26192, _26188) = op2(_26190, _26186)), _26192 = _26190, _26188 = _26186], (50 ^ _24812) ^ [_26545, _26547, _26549, _26551] : [-(op1(_26551, _26547) = op1(_26549, _26545)), _26551 = _26549, _26547 = _26545], (60 ^ _24812) ^ [_26876, _26878] : [_26878 = _26876, -(j(_26878) = j(_26876))], (66 ^ _24812) ^ [_27074, _27076] : [_27076 = _27074, -(h(_27076) = h(_27074))], (2 ^ _24812) ^ [_24956] : [-(_24956 = _24956)], (4 ^ _24812) ^ [_25063, _25065] : [_25065 = _25063, -(_25063 = _25065)], (10 ^ _24812) ^ [_25267, _25269, _25271] : [-(_25271 = _25267), _25271 = _25269, _25269 = _25267], (20 ^ _24812) ^ [_25580, _25582] : [-(sorti2(_25580)), _25582 = _25580, sorti2(_25582)], (30 ^ _24812) ^ [_25855, _25857] : [-(sorti1(_25855)), _25857 = _25855, sorti1(_25857)]], input).
% 0.74/1.37 ncf('1',plain,[op2(97 ^ [], 97 ^ []) = 97 ^ []],start(101 ^ 0)).
% 0.74/1.37 ncf('1.1',plain,[-(op2(97 ^ [], 97 ^ []) = 97 ^ []), op2(97 ^ [], 97 ^ []) = h(op1(j(97 ^ []), j(97 ^ []))), h(op1(j(97 ^ []), j(97 ^ []))) = 97 ^ []],extension(10 ^ 1,bind([[_25267, _25269, _25271], [97 ^ [], h(op1(j(97 ^ []), j(97 ^ []))), op2(97 ^ [], 97 ^ [])]]))).
% 0.74/1.37 ncf('1.1.1',plain,[-(op2(97 ^ [], 97 ^ []) = h(op1(j(97 ^ []), j(97 ^ [])))), h(op1(j(97 ^ []), j(97 ^ []))) = op2(97 ^ [], 97 ^ [])],extension(4 ^ 2,bind([[_25063, _25065], [op2(97 ^ [], 97 ^ []), h(op1(j(97 ^ []), j(97 ^ [])))]]))).
% 0.74/1.37 ncf('1.1.1.1',plain,[-(h(op1(j(97 ^ []), j(97 ^ []))) = op2(97 ^ [], 97 ^ [])), h(op1(j(97 ^ []), j(97 ^ []))) = op2(h(j(97 ^ [])), h(j(97 ^ []))), op2(h(j(97 ^ [])), h(j(97 ^ []))) = op2(97 ^ [], 97 ^ [])],extension(10 ^ 3,bind([[_25267, _25269, _25271], [op2(97 ^ [], 97 ^ []), op2(h(j(97 ^ [])), h(j(97 ^ []))), h(op1(j(97 ^ []), j(97 ^ [])))]]))).
% 0.74/1.37 ncf('1.1.1.1.1',plain,[-(h(op1(j(97 ^ []), j(97 ^ []))) = op2(h(j(97 ^ [])), h(j(97 ^ [])))), 119 : sorti1(j(97 ^ [])), 119 : sorti1(j(97 ^ []))],extension(115 ^ 4,bind([[_28696, _28838], [j(97 ^ []), j(97 ^ [])]]))).
% 0.74/1.37 ncf('1.1.1.1.1.1',plain,[-(sorti1(j(97 ^ []))), sorti2(97 ^ [])],extension(109 ^ 7,bind([[_28504], [97 ^ []]]))).
% 0.74/1.37 ncf('1.1.1.1.1.1.1',plain,[-(sorti2(97 ^ []))],extension(99 ^ 8)).
% 0.74/1.37 ncf('1.1.1.1.1.2',plain,[-(sorti1(j(97 ^ []))), sorti2(97 ^ [])],extension(109 ^ 5,bind([[_28504], [97 ^ []]]))).
% 0.74/1.37 ncf('1.1.1.1.1.2.1',plain,[-(sorti2(97 ^ []))],extension(99 ^ 6)).
% 0.74/1.37 ncf('1.1.1.1.2',plain,[-(op2(h(j(97 ^ [])), h(j(97 ^ []))) = op2(97 ^ [], 97 ^ [])), h(j(97 ^ [])) = 97 ^ [], h(j(97 ^ [])) = 97 ^ []],extension(40 ^ 4,bind([[_26186, _26188, _26190, _26192], [97 ^ [], h(j(97 ^ [])), 97 ^ [], h(j(97 ^ []))]]))).
% 0.74/1.37 ncf('1.1.1.1.2.1',plain,[-(h(j(97 ^ [])) = 97 ^ []), sorti2(97 ^ [])],extension(135 ^ 5,bind([[_29430], [97 ^ []]]))).
% 0.74/1.37 ncf('1.1.1.1.2.1.1',plain,[-(sorti2(97 ^ []))],extension(99 ^ 6)).
% 0.74/1.37 ncf('1.1.1.1.2.2',plain,[-(h(j(97 ^ [])) = 97 ^ [])],lemmata('[1, 1, 1, 1].x')).
% 0.74/1.37 ncf('1.1.2',plain,[-(h(op1(j(97 ^ []), j(97 ^ []))) = 97 ^ []), h(op1(j(97 ^ []), j(97 ^ []))) = h(j(97 ^ [])), h(j(97 ^ [])) = 97 ^ []],extension(10 ^ 2,bind([[_25267, _25269, _25271], [97 ^ [], h(j(97 ^ [])), h(op1(j(97 ^ []), j(97 ^ [])))]]))).
% 0.74/1.37 ncf('1.1.2.1',plain,[-(h(op1(j(97 ^ []), j(97 ^ []))) = h(j(97 ^ []))), op1(j(97 ^ []), j(97 ^ [])) = j(97 ^ [])],extension(66 ^ 3,bind([[_27074, _27076], [j(97 ^ []), op1(j(97 ^ []), j(97 ^ []))]]))).
% 0.74/1.37 ncf('1.1.2.1.1',plain,[-(op1(j(97 ^ []), j(97 ^ [])) = j(97 ^ [])), sorti1(j(97 ^ []))],extension(92 ^ 4,bind([[_27966], [j(97 ^ [])]]))).
% 0.74/1.37 ncf('1.1.2.1.1.1',plain,[-(sorti1(j(97 ^ []))), sorti2(97 ^ [])],extension(109 ^ 5,bind([[_28504], [97 ^ []]]))).
% 0.74/1.37 ncf('1.1.2.1.1.1.1',plain,[-(sorti2(97 ^ []))],extension(99 ^ 6)).
% 0.74/1.37 ncf('1.1.2.2',plain,[-(h(j(97 ^ [])) = 97 ^ []), sorti2(97 ^ [])],extension(135 ^ 3,bind([[_29430], [97 ^ []]]))).
% 0.74/1.37 ncf('1.1.2.2.1',plain,[-(sorti2(97 ^ []))],extension(99 ^ 4)).
% 0.74/1.37 %-----------------------------------------------------
% 0.74/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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