TSTP Solution File: ALG029+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : ALG029+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n014.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 10:07:55 EDT 2023
% Result : Theorem 0.86s 1.38s
% Output : Proof 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG029+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 23:32:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.86/1.38
% 0.86/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.86/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.38 %-----------------------------------------------------
% 0.86/1.38 ncf(matrix, plain, [(110 ^ _27663) ^ [_31456] : [sorti1(_31456), -(sorti2(h(_31456)))], (116 ^ _27663) ^ [_31626] : [sorti2(_31626), -(sorti1(j(_31626)))], (122 ^ _27663) ^ [_31818] : [sorti1(_31818), 125 ^ _27663 : [(126 ^ _27663) ^ [_31960] : [sorti1(_31960), -(h(op1(_31818, _31960)) = op2(h(_31818), h(_31960)))]]], (132 ^ _27663) ^ [_32185] : [sorti2(_32185), 135 ^ _27663 : [(136 ^ _27663) ^ [_32327] : [sorti2(_32327), -(j(op2(_32185, _32327)) = op1(j(_32185), j(_32327)))]]], (142 ^ _27663) ^ [_32552] : [sorti2(_32552), -(h(j(_32552)) = _32552)], (148 ^ _27663) ^ [_32728] : [sorti1(_32728), -(j(h(_32728)) = _32728)], (72 ^ _27663) ^ [_30143] : [sorti1(_30143), 75 ^ _27663 : [(76 ^ _27663) ^ [_30275] : [sorti1(_30275), -(sorti1(op1(_30143, _30275)))]]], (82 ^ _27663) ^ [_30480] : [sorti2(_30480), 85 ^ _27663 : [(86 ^ _27663) ^ [_30612] : [sorti2(_30612), -(sorti2(op2(_30480, _30612)))]]], (103 ^ _27663) ^ [] : [-(sorti2(101 ^ []))], (106 ^ _27663) ^ [] : [-(sorti2(104 ^ []))], (108 ^ _27663) ^ [] : [op2(101 ^ [], 104 ^ []) = op2(104 ^ [], 101 ^ [])], (92 ^ _27663) ^ [_30817] : [sorti1(_30817), 95 ^ _27663 : [(96 ^ _27663) ^ [_30953] : [sorti1(_30953), -(op1(_30817, _30953) = op1(_30953, _30817))]]], (40 ^ _27663) ^ [_29037, _29039, _29041, _29043] : [-(op2(_29043, _29039) = op2(_29041, _29037)), _29043 = _29041, _29039 = _29037], (50 ^ _27663) ^ [_29396, _29398, _29400, _29402] : [-(op1(_29402, _29398) = op1(_29400, _29396)), _29402 = _29400, _29398 = _29396], (60 ^ _27663) ^ [_29727, _29729] : [_29729 = _29727, -(j(_29729) = j(_29727))], (66 ^ _27663) ^ [_29925, _29927] : [_29927 = _29925, -(h(_29927) = h(_29925))], (2 ^ _27663) ^ [_27807] : [-(_27807 = _27807)], (4 ^ _27663) ^ [_27914, _27916] : [_27916 = _27914, -(_27914 = _27916)], (10 ^ _27663) ^ [_28118, _28120, _28122] : [-(_28122 = _28118), _28122 = _28120, _28120 = _28118], (20 ^ _27663) ^ [_28431, _28433] : [-(sorti2(_28431)), _28433 = _28431, sorti2(_28433)], (30 ^ _27663) ^ [_28706, _28708] : [-(sorti1(_28706)), _28708 = _28706, sorti1(_28708)]], input).
% 0.86/1.38 ncf('1',plain,[op2(101 ^ [], 104 ^ []) = op2(104 ^ [], 101 ^ [])],start(108 ^ 0)).
% 0.86/1.38 ncf('1.1',plain,[-(op2(101 ^ [], 104 ^ []) = op2(104 ^ [], 101 ^ [])), op2(101 ^ [], 104 ^ []) = h(op1(j(101 ^ []), j(104 ^ []))), h(op1(j(101 ^ []), j(104 ^ []))) = op2(104 ^ [], 101 ^ [])],extension(10 ^ 1,bind([[_28118, _28120, _28122], [op2(104 ^ [], 101 ^ []), h(op1(j(101 ^ []), j(104 ^ []))), op2(101 ^ [], 104 ^ [])]]))).
% 0.86/1.38 ncf('1.1.1',plain,[-(op2(101 ^ [], 104 ^ []) = h(op1(j(101 ^ []), j(104 ^ [])))), h(op1(j(101 ^ []), j(104 ^ []))) = op2(101 ^ [], 104 ^ [])],extension(4 ^ 2,bind([[_27914, _27916], [op2(101 ^ [], 104 ^ []), h(op1(j(101 ^ []), j(104 ^ [])))]]))).
% 0.86/1.38 ncf('1.1.1.1',plain,[-(h(op1(j(101 ^ []), j(104 ^ []))) = op2(101 ^ [], 104 ^ [])), h(op1(j(101 ^ []), j(104 ^ []))) = op2(h(j(101 ^ [])), h(j(104 ^ []))), op2(h(j(101 ^ [])), h(j(104 ^ []))) = op2(101 ^ [], 104 ^ [])],extension(10 ^ 3,bind([[_28118, _28120, _28122], [op2(101 ^ [], 104 ^ []), op2(h(j(101 ^ [])), h(j(104 ^ []))), h(op1(j(101 ^ []), j(104 ^ [])))]]))).
% 0.86/1.38 ncf('1.1.1.1.1',plain,[-(h(op1(j(101 ^ []), j(104 ^ []))) = op2(h(j(101 ^ [])), h(j(104 ^ [])))), 126 : sorti1(j(104 ^ [])), 126 : sorti1(j(101 ^ []))],extension(122 ^ 4,bind([[_31818, _31960], [j(101 ^ []), j(104 ^ [])]]))).
% 0.86/1.38 ncf('1.1.1.1.1.1',plain,[-(sorti1(j(104 ^ []))), sorti2(104 ^ [])],extension(116 ^ 7,bind([[_31626], [104 ^ []]]))).
% 0.86/1.38 ncf('1.1.1.1.1.1.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 8)).
% 0.86/1.38 ncf('1.1.1.1.1.2',plain,[-(sorti1(j(101 ^ []))), sorti2(101 ^ [])],extension(116 ^ 5,bind([[_31626], [101 ^ []]]))).
% 0.86/1.38 ncf('1.1.1.1.1.2.1',plain,[-(sorti2(101 ^ []))],extension(103 ^ 6)).
% 0.86/1.38 ncf('1.1.1.1.2',plain,[-(op2(h(j(101 ^ [])), h(j(104 ^ []))) = op2(101 ^ [], 104 ^ [])), h(j(101 ^ [])) = 101 ^ [], h(j(104 ^ [])) = 104 ^ []],extension(40 ^ 4,bind([[_29037, _29039, _29041, _29043], [104 ^ [], h(j(104 ^ [])), 101 ^ [], h(j(101 ^ []))]]))).
% 0.86/1.38 ncf('1.1.1.1.2.1',plain,[-(h(j(101 ^ [])) = 101 ^ []), sorti2(101 ^ [])],extension(142 ^ 5,bind([[_32552], [101 ^ []]]))).
% 0.86/1.38 ncf('1.1.1.1.2.1.1',plain,[-(sorti2(101 ^ []))],extension(103 ^ 6)).
% 0.86/1.38 ncf('1.1.1.1.2.2',plain,[-(h(j(104 ^ [])) = 104 ^ []), sorti2(104 ^ [])],extension(142 ^ 5,bind([[_32552], [104 ^ []]]))).
% 0.86/1.38 ncf('1.1.1.1.2.2.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 6)).
% 0.86/1.38 ncf('1.1.2',plain,[-(h(op1(j(101 ^ []), j(104 ^ []))) = op2(104 ^ [], 101 ^ [])), h(op1(j(101 ^ []), j(104 ^ []))) = h(op1(j(104 ^ []), j(101 ^ []))), h(op1(j(104 ^ []), j(101 ^ []))) = op2(104 ^ [], 101 ^ [])],extension(10 ^ 2,bind([[_28118, _28120, _28122], [op2(104 ^ [], 101 ^ []), h(op1(j(104 ^ []), j(101 ^ []))), h(op1(j(101 ^ []), j(104 ^ [])))]]))).
% 0.86/1.38 ncf('1.1.2.1',plain,[-(h(op1(j(101 ^ []), j(104 ^ []))) = h(op1(j(104 ^ []), j(101 ^ [])))), op1(j(101 ^ []), j(104 ^ [])) = op1(j(104 ^ []), j(101 ^ []))],extension(66 ^ 3,bind([[_29925, _29927], [op1(j(104 ^ []), j(101 ^ [])), op1(j(101 ^ []), j(104 ^ []))]]))).
% 0.86/1.38 ncf('1.1.2.1.1',plain,[-(op1(j(101 ^ []), j(104 ^ [])) = op1(j(104 ^ []), j(101 ^ []))), 96 : sorti1(j(104 ^ [])), 96 : sorti1(j(101 ^ []))],extension(92 ^ 4,bind([[_30817, _30953], [j(101 ^ []), j(104 ^ [])]]))).
% 0.86/1.38 ncf('1.1.2.1.1.1',plain,[-(sorti1(j(104 ^ []))), sorti2(104 ^ [])],extension(116 ^ 7,bind([[_31626], [104 ^ []]]))).
% 0.86/1.38 ncf('1.1.2.1.1.1.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 8)).
% 0.86/1.38 ncf('1.1.2.1.1.2',plain,[-(sorti1(j(101 ^ []))), sorti2(101 ^ [])],extension(116 ^ 5,bind([[_31626], [101 ^ []]]))).
% 0.86/1.38 ncf('1.1.2.1.1.2.1',plain,[-(sorti2(101 ^ []))],extension(103 ^ 6)).
% 0.86/1.38 ncf('1.1.2.2',plain,[-(h(op1(j(104 ^ []), j(101 ^ []))) = op2(104 ^ [], 101 ^ [])), h(op1(j(104 ^ []), j(101 ^ []))) = op2(h(j(104 ^ [])), h(j(101 ^ []))), op2(h(j(104 ^ [])), h(j(101 ^ []))) = op2(104 ^ [], 101 ^ [])],extension(10 ^ 3,bind([[_28118, _28120, _28122], [op2(104 ^ [], 101 ^ []), op2(h(j(104 ^ [])), h(j(101 ^ []))), h(op1(j(104 ^ []), j(101 ^ [])))]]))).
% 0.86/1.38 ncf('1.1.2.2.1',plain,[-(h(op1(j(104 ^ []), j(101 ^ []))) = op2(h(j(104 ^ [])), h(j(101 ^ [])))), 126 : sorti1(j(101 ^ [])), 126 : sorti1(j(104 ^ []))],extension(122 ^ 4,bind([[_31818, _31960], [j(104 ^ []), j(101 ^ [])]]))).
% 0.86/1.38 ncf('1.1.2.2.1.1',plain,[-(sorti1(j(101 ^ []))), sorti2(101 ^ [])],extension(116 ^ 7,bind([[_31626], [101 ^ []]]))).
% 0.86/1.38 ncf('1.1.2.2.1.1.1',plain,[-(sorti2(101 ^ []))],extension(103 ^ 8)).
% 0.86/1.38 ncf('1.1.2.2.1.2',plain,[-(sorti1(j(104 ^ []))), sorti2(104 ^ [])],extension(116 ^ 5,bind([[_31626], [104 ^ []]]))).
% 0.86/1.38 ncf('1.1.2.2.1.2.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 6)).
% 0.86/1.38 ncf('1.1.2.2.2',plain,[-(op2(h(j(104 ^ [])), h(j(101 ^ []))) = op2(104 ^ [], 101 ^ [])), h(j(104 ^ [])) = 104 ^ [], h(j(101 ^ [])) = 101 ^ []],extension(40 ^ 4,bind([[_29037, _29039, _29041, _29043], [101 ^ [], h(j(101 ^ [])), 104 ^ [], h(j(104 ^ []))]]))).
% 0.86/1.38 ncf('1.1.2.2.2.1',plain,[-(h(j(104 ^ [])) = 104 ^ []), sorti2(104 ^ [])],extension(142 ^ 5,bind([[_32552], [104 ^ []]]))).
% 0.86/1.38 ncf('1.1.2.2.2.1.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 6)).
% 0.86/1.38 ncf('1.1.2.2.2.2',plain,[-(h(j(101 ^ [])) = 101 ^ []), sorti2(101 ^ [])],extension(142 ^ 5,bind([[_32552], [101 ^ []]]))).
% 0.86/1.38 ncf('1.1.2.2.2.2.1',plain,[-(sorti2(101 ^ []))],extension(103 ^ 6)).
% 0.86/1.38 %-----------------------------------------------------
% 0.86/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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