TSTP Solution File: ALG178+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : ALG178+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 10:08:09 EDT 2023
% Result : Theorem 233.71s 230.06s
% Output : Proof 233.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG178+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 23:21:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 233.71/230.06
% 233.71/230.06 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 233.71/230.06 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 233.71/230.06 %-----------------------------------------------------
% 233.71/230.06 ncf(matrix, plain, [(110 ^ _28668) ^ [_32461] : [sorti1(_32461), -(sorti2(h(_32461)))], (66 ^ _28668) ^ [_30930, _30932] : [_30932 = _30930, -(h(_30932) = h(_30930))], (30 ^ _28668) ^ [_29711, _29713] : [-(sorti1(_29711)), _29713 = _29711, sorti1(_29713)], (4 ^ _28668) ^ [_28919, _28921] : [_28921 = _28919, -(_28919 = _28921)], (122 ^ _28668) ^ [_32823] : [sorti1(_32823), 125 ^ _28668 : [(126 ^ _28668) ^ [_32965] : [sorti1(_32965), -(h(op1(_32823, _32965)) = op2(h(_32823), h(_32965)))]]], (20 ^ _28668) ^ [_29436, _29438] : [-(sorti2(_29436)), _29438 = _29436, sorti2(_29438)], (103 ^ _28668) ^ [] : [-(sorti2(101 ^ []))], (2 ^ _28668) ^ [_28812] : [-(_28812 = _28812)], (142 ^ _28668) ^ [_33557] : [sorti2(_33557), -(h(j(_33557)) = _33557)], (132 ^ _28668) ^ [_33190] : [sorti2(_33190), 135 ^ _28668 : [(136 ^ _28668) ^ [_33332] : [sorti2(_33332), -(j(op2(_33190, _33332)) = op1(j(_33190), j(_33332)))]]], (106 ^ _28668) ^ [] : [-(sorti2(104 ^ []))], (50 ^ _28668) ^ [_30401, _30403, _30405, _30407] : [-(op1(_30407, _30403) = op1(_30405, _30401)), _30407 = _30405, _30403 = _30401], (60 ^ _28668) ^ [_30732, _30734] : [_30734 = _30732, -(j(_30734) = j(_30732))], (148 ^ _28668) ^ [_33733] : [sorti1(_33733), -(j(h(_33733)) = _33733)], (108 ^ _28668) ^ [] : [op2(101 ^ [], op2(101 ^ [], 104 ^ [])) = 104 ^ []], (10 ^ _28668) ^ [_29123, _29125, _29127] : [-(_29127 = _29123), _29127 = _29125, _29125 = _29123], (116 ^ _28668) ^ [_32631] : [sorti2(_32631), -(sorti1(j(_32631)))], (92 ^ _28668) ^ [_31822] : [sorti1(_31822), 95 ^ _28668 : [(96 ^ _28668) ^ [_31958] : [sorti1(_31958), -(op1(_31822, op1(_31822, _31958)) = _31958)]]], (40 ^ _28668) ^ [_30042, _30044, _30046, _30048] : [-(op2(_30048, _30044) = op2(_30046, _30042)), _30048 = _30046, _30044 = _30042], (82 ^ _28668) ^ [_31485] : [sorti2(_31485), 85 ^ _28668 : [(86 ^ _28668) ^ [_31617] : [sorti2(_31617), -(sorti2(op2(_31485, _31617)))]]], (72 ^ _28668) ^ [_31148] : [sorti1(_31148), 75 ^ _28668 : [(76 ^ _28668) ^ [_31280] : [sorti1(_31280), -(sorti1(op1(_31148, _31280)))]]]], input).
% 233.71/230.06 ncf('1',plain,[op2(101 ^ [], op2(101 ^ [], 104 ^ [])) = 104 ^ []],start(108 ^ 0)).
% 233.71/230.06 ncf('1.1',plain,[-(op2(101 ^ [], op2(101 ^ [], 104 ^ [])) = 104 ^ []), op2(101 ^ [], op2(101 ^ [], 104 ^ [])) = h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))), h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))) = 104 ^ []],extension(10 ^ 1,bind([[_29123, _29125, _29127], [104 ^ [], h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))), op2(101 ^ [], op2(101 ^ [], 104 ^ []))]]))).
% 233.71/230.06 ncf('1.1.1',plain,[-(op2(101 ^ [], op2(101 ^ [], 104 ^ [])) = h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ []))))), h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))) = op2(101 ^ [], op2(101 ^ [], 104 ^ []))],extension(4 ^ 2,bind([[_28919, _28921], [op2(101 ^ [], op2(101 ^ [], 104 ^ [])), h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ []))))]]))).
% 233.71/230.06 ncf('1.1.1.1',plain,[-(h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))) = op2(101 ^ [], op2(101 ^ [], 104 ^ []))), sorti2(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))],extension(142 ^ 3,bind([[_33557], [op2(101 ^ [], op2(101 ^ [], 104 ^ []))]]))).
% 233.71/230.06 ncf('1.1.1.1.1',plain,[-(sorti2(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))), 86 : sorti2(op2(101 ^ [], 104 ^ [])), 86 : sorti2(101 ^ [])],extension(82 ^ 4,bind([[_31485, _31617], [101 ^ [], op2(101 ^ [], 104 ^ [])]]))).
% 233.71/230.06 ncf('1.1.1.1.1.1',plain,[-(sorti2(op2(101 ^ [], 104 ^ []))), sorti2(104 ^ [])],extension(86 ^ 7,bind([[_31617], [104 ^ []]]))).
% 233.71/230.06 ncf('1.1.1.1.1.1.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 8)).
% 233.71/230.06 ncf('1.1.1.1.1.2',plain,[-(sorti2(101 ^ []))],extension(103 ^ 5)).
% 233.71/230.06 ncf('1.1.2',plain,[-(h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))) = 104 ^ []), h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))) = h(op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))), h(op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))) = 104 ^ []],extension(10 ^ 2,bind([[_29123, _29125, _29127], [104 ^ [], h(op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))), h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ []))))]]))).
% 233.71/230.06 ncf('1.1.2.1',plain,[-(h(j(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))) = h(op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ []))))), j(op2(101 ^ [], op2(101 ^ [], 104 ^ []))) = op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))],extension(66 ^ 3,bind([[_30930, _30932], [op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ []))), j(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))]]))).
% 233.71/230.06 ncf('1.1.2.1.1',plain,[-(j(op2(101 ^ [], op2(101 ^ [], 104 ^ []))) = op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))), j(op2(101 ^ [], op2(101 ^ [], 104 ^ []))) = op1(j(101 ^ []), j(op2(101 ^ [], 104 ^ []))), op1(j(101 ^ []), j(op2(101 ^ [], 104 ^ []))) = op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))],extension(10 ^ 4,bind([[_29123, _29125, _29127], [op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ []))), op1(j(101 ^ []), j(op2(101 ^ [], 104 ^ []))), j(op2(101 ^ [], op2(101 ^ [], 104 ^ [])))]]))).
% 233.71/230.06 ncf('1.1.2.1.1.1',plain,[-(j(op2(101 ^ [], op2(101 ^ [], 104 ^ []))) = op1(j(101 ^ []), j(op2(101 ^ [], 104 ^ [])))), 136 : sorti2(op2(101 ^ [], 104 ^ [])), 136 : sorti2(101 ^ [])],extension(132 ^ 5,bind([[_33190, _33332], [101 ^ [], op2(101 ^ [], 104 ^ [])]]))).
% 233.71/230.06 ncf('1.1.2.1.1.1.1',plain,[-(sorti2(op2(101 ^ [], 104 ^ []))), 86 : sorti2(104 ^ []), 86 : sorti2(101 ^ [])],extension(82 ^ 8,bind([[_31485, _31617], [101 ^ [], 104 ^ []]]))).
% 233.71/230.06 ncf('1.1.2.1.1.1.1.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 11)).
% 233.71/230.06 ncf('1.1.2.1.1.1.1.2',plain,[-(sorti2(101 ^ []))],extension(103 ^ 9)).
% 233.71/230.06 ncf('1.1.2.1.1.1.2',plain,[-(sorti2(101 ^ []))],extension(103 ^ 6)).
% 233.71/230.06 ncf('1.1.2.1.1.2',plain,[-(op1(j(101 ^ []), j(op2(101 ^ [], 104 ^ []))) = op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))), j(101 ^ []) = j(101 ^ []), j(op2(101 ^ [], 104 ^ [])) = op1(j(101 ^ []), j(104 ^ []))],extension(50 ^ 5,bind([[_30401, _30403, _30405, _30407], [op1(j(101 ^ []), j(104 ^ [])), j(op2(101 ^ [], 104 ^ [])), j(101 ^ []), j(101 ^ [])]]))).
% 233.71/230.06 ncf('1.1.2.1.1.2.1',plain,[-(j(101 ^ []) = j(101 ^ []))],extension(2 ^ 6,bind([[_28812], [j(101 ^ [])]]))).
% 233.71/230.06 ncf('1.1.2.1.1.2.2',plain,[-(j(op2(101 ^ [], 104 ^ [])) = op1(j(101 ^ []), j(104 ^ []))), 136 : sorti2(104 ^ []), 136 : sorti2(101 ^ [])],extension(132 ^ 6,bind([[_33190, _33332], [101 ^ [], 104 ^ []]]))).
% 233.71/230.06 ncf('1.1.2.1.1.2.2.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 9)).
% 233.71/230.06 ncf('1.1.2.1.1.2.2.2',plain,[-(sorti2(101 ^ []))],extension(103 ^ 7)).
% 233.71/230.06 ncf('1.1.2.2',plain,[-(h(op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))) = 104 ^ []), h(op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))) = h(j(104 ^ [])), h(j(104 ^ [])) = 104 ^ []],extension(10 ^ 3,bind([[_29123, _29125, _29127], [104 ^ [], h(j(104 ^ [])), h(op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ []))))]]))).
% 233.71/230.06 ncf('1.1.2.2.1',plain,[-(h(op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))) = h(j(104 ^ []))), op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ []))) = j(104 ^ [])],extension(66 ^ 4,bind([[_30930, _30932], [j(104 ^ []), op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ [])))]]))).
% 233.71/230.06 ncf('1.1.2.2.1.1',plain,[-(op1(j(101 ^ []), op1(j(101 ^ []), j(104 ^ []))) = j(104 ^ [])), 96 : sorti1(j(104 ^ [])), 96 : sorti1(j(101 ^ []))],extension(92 ^ 5,bind([[_31822, _31958], [j(101 ^ []), j(104 ^ [])]]))).
% 233.71/230.06 ncf('1.1.2.2.1.1.1',plain,[-(sorti1(j(104 ^ []))), sorti2(104 ^ [])],extension(116 ^ 8,bind([[_32631], [104 ^ []]]))).
% 233.71/230.06 ncf('1.1.2.2.1.1.1.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 9)).
% 233.71/230.06 ncf('1.1.2.2.1.1.2',plain,[-(sorti1(j(101 ^ []))), sorti2(101 ^ [])],extension(116 ^ 6,bind([[_32631], [101 ^ []]]))).
% 233.71/230.06 ncf('1.1.2.2.1.1.2.1',plain,[-(sorti2(101 ^ []))],extension(103 ^ 7)).
% 233.71/230.06 ncf('1.1.2.2.2',plain,[-(h(j(104 ^ [])) = 104 ^ []), sorti2(104 ^ [])],extension(142 ^ 4,bind([[_33557], [104 ^ []]]))).
% 233.71/230.06 ncf('1.1.2.2.2.1',plain,[-(sorti2(104 ^ []))],extension(106 ^ 5)).
% 233.71/230.06 %-----------------------------------------------------
% 233.71/230.06 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------