TSTP Solution File: COM007+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : COM007+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 10:14:32 EDT 2023
% Result : Theorem 43.41s 42.69s
% Output : Proof 43.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COM007+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n012.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 : Fri May 19 03:20:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 43.41/42.69
% 43.41/42.69 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.41/42.69 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.41/42.69 %-----------------------------------------------------
% 43.41/42.69 ncf(matrix, plain, [(69 ^ _23455) ^ [] : [goal], !, (16 ^ _21274) ^ [_21712] : [-(equalish(_21712, _21712))], (56 ^ _21274) ^ [_23066, _23068, _23070] : [64 ^ _21274 : [(67 ^ _21274) ^ [] : [-(rewrite(_23066, 63 ^ [_23066, _23068, _23070]))], (65 ^ _21274) ^ [] : [-(rewrite(_23068, 63 ^ [_23066, _23068, _23070]))]], rewrite(_23070, _23068), rewrite(_23070, _23066)], (4 ^ _21274) ^ [] : [-(reflexive_rewrite(a, c))], (2 ^ _21274) ^ [] : [-(reflexive_rewrite(a, b))], (24 ^ _21274) ^ [_22043, _22045, _22047] : [-(reflexive_rewrite(_22047, _22043)), equalish(_22047, _22045), reflexive_rewrite(_22045, _22043)], (46 ^ _21274) ^ [_22772, _22774] : [reflexive_rewrite(_22774, _22772), -(equalish(_22774, _22772)), -(rewrite(_22774, _22772))], (6 ^ _21274) ^ [_21461] : [-(goal), reflexive_rewrite(b, _21461), reflexive_rewrite(c, _21461)], (40 ^ _21274) ^ [_22562, _22564] : [rewrite(_22564, _22562), -(reflexive_rewrite(_22564, _22562))], (18 ^ _21274) ^ [_21819, _21821] : [equalish(_21821, _21819), -(equalish(_21819, _21821))], (34 ^ _21274) ^ [_22352, _22354] : [equalish(_22354, _22352), -(reflexive_rewrite(_22354, _22352))]], input).
% 43.41/42.69 ncf('1',plain,[goal],start(69 ^ 0)).
% 43.41/42.69 ncf('1.1',plain,[-(goal), reflexive_rewrite(b, 63 ^ [c, b, a]), reflexive_rewrite(c, 63 ^ [c, b, a])],extension(6 ^ 1,bind([[_21461], [63 ^ [c, b, a]]]))).
% 43.41/42.69 ncf('1.1.1',plain,[-(reflexive_rewrite(b, 63 ^ [c, b, a])), rewrite(b, 63 ^ [c, b, a])],extension(40 ^ 2,bind([[_22562, _22564], [63 ^ [c, b, a], b]]))).
% 43.41/42.69 ncf('1.1.1.1',plain,[-(rewrite(b, 63 ^ [c, b, a])), rewrite(a, b), rewrite(a, c)],extension(56 ^ 3,bind([[_23066, _23068, _23070], [c, b, a]]))).
% 43.41/42.69 ncf('1.1.1.1.1',plain,[-(rewrite(a, b)), reflexive_rewrite(a, b), -(equalish(a, b))],extension(46 ^ 4,bind([[_22772, _22774], [b, a]]))).
% 43.41/42.69 ncf('1.1.1.1.1.1',plain,[-(reflexive_rewrite(a, b))],extension(2 ^ 5)).
% 43.41/42.69 ncf('1.1.1.1.1.2',plain,[equalish(a, b), -(equalish(b, a))],extension(18 ^ 5,bind([[_21819, _21821], [b, a]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1',plain,[equalish(b, a), -(reflexive_rewrite(b, a))],extension(34 ^ 6,bind([[_22352, _22354], [a, b]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1',plain,[reflexive_rewrite(b, a), -(reflexive_rewrite(c, a)), equalish(c, b)],extension(24 ^ 7,bind([[_22043, _22045, _22047], [a, b, c]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1',plain,[reflexive_rewrite(c, a), -(reflexive_rewrite(b, a)), equalish(b, c)],extension(24 ^ 8,bind([[_22043, _22045, _22047], [a, c, b]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.1',plain,[reflexive_rewrite(b, a), -(goal), reflexive_rewrite(c, a)],extension(6 ^ 9,bind([[_21461], [a]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.1.1',plain,[goal],reduction('1')).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.1.2',plain,[-(reflexive_rewrite(c, a))],reduction('1.1.1.1.1.2.1.1')).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.2',plain,[-(equalish(b, c)), reflexive_rewrite(b, c), -(rewrite(b, c))],extension(46 ^ 9,bind([[_22772, _22774], [c, b]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.2.1',plain,[-(reflexive_rewrite(b, c)), equalish(b, a), reflexive_rewrite(a, c)],extension(24 ^ 10,bind([[_22043, _22045, _22047], [c, a, b]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.2.1.1',plain,[-(equalish(b, a))],reduction('1.1.1.1.1.2')).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.2.1.2',plain,[-(reflexive_rewrite(a, c))],extension(4 ^ 11)).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.2.2',plain,[rewrite(b, c), -(reflexive_rewrite(b, c))],extension(40 ^ 10,bind([[_22562, _22564], [c, b]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.2.2.1',plain,[reflexive_rewrite(b, c), -(goal), reflexive_rewrite(c, c)],extension(6 ^ 11,bind([[_21461], [c]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.2.2.1.1',plain,[goal],reduction('1')).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.2.2.1.2',plain,[-(reflexive_rewrite(c, c)), equalish(c, c)],extension(34 ^ 12,bind([[_22352, _22354], [c, c]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.1.2.2.1.2.1',plain,[-(equalish(c, c))],extension(16 ^ 13,bind([[_21712], [c]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.2',plain,[-(equalish(c, b)), equalish(b, c)],extension(18 ^ 8,bind([[_21819, _21821], [c, b]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.2.1',plain,[-(equalish(b, c)), reflexive_rewrite(b, c), -(rewrite(b, c))],extension(46 ^ 9,bind([[_22772, _22774], [c, b]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.2.1.1',plain,[-(reflexive_rewrite(b, c)), equalish(b, a), reflexive_rewrite(a, c)],extension(24 ^ 10,bind([[_22043, _22045, _22047], [c, a, b]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.2.1.1.1',plain,[-(equalish(b, a))],reduction('1.1.1.1.1.2')).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.2.1.1.2',plain,[-(reflexive_rewrite(a, c))],extension(4 ^ 11)).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.2.1.2',plain,[rewrite(b, c), -(reflexive_rewrite(b, c))],extension(40 ^ 10,bind([[_22562, _22564], [c, b]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.2.1.2.1',plain,[reflexive_rewrite(b, c), -(goal), reflexive_rewrite(c, c)],extension(6 ^ 11,bind([[_21461], [c]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.2.1.2.1.1',plain,[goal],reduction('1')).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.2.1.2.1.2',plain,[-(reflexive_rewrite(c, c)), equalish(c, c)],extension(34 ^ 12,bind([[_22352, _22354], [c, c]]))).
% 43.41/42.69 ncf('1.1.1.1.1.2.1.1.2.1.2.1.2.1',plain,[-(equalish(c, c))],extension(16 ^ 13,bind([[_21712], [c]]))).
% 43.41/42.69 ncf('1.1.1.1.2',plain,[-(rewrite(a, c)), reflexive_rewrite(a, c), -(equalish(a, c))],extension(46 ^ 4,bind([[_22772, _22774], [c, a]]))).
% 43.41/42.69 ncf('1.1.1.1.2.1',plain,[-(reflexive_rewrite(a, c))],extension(4 ^ 5)).
% 43.41/42.69 ncf('1.1.1.1.2.2',plain,[equalish(a, c), -(equalish(c, a))],extension(18 ^ 5,bind([[_21819, _21821], [c, a]]))).
% 43.41/42.69 ncf('1.1.1.1.2.2.1',plain,[equalish(c, a), -(reflexive_rewrite(c, a))],extension(34 ^ 6,bind([[_22352, _22354], [a, c]]))).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1',plain,[reflexive_rewrite(c, a), -(reflexive_rewrite(b, a)), equalish(b, c)],extension(24 ^ 7,bind([[_22043, _22045, _22047], [a, c, b]]))).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.1',plain,[reflexive_rewrite(b, a), -(goal), reflexive_rewrite(c, a)],extension(6 ^ 8,bind([[_21461], [a]]))).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.1.1',plain,[goal],reduction('1')).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.1.2',plain,[-(reflexive_rewrite(c, a))],reduction('1.1.1.1.2.2.1')).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.2',plain,[-(equalish(b, c)), equalish(c, b)],extension(18 ^ 8,bind([[_21819, _21821], [b, c]]))).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.2.1',plain,[-(equalish(c, b)), reflexive_rewrite(c, b), -(rewrite(c, b))],extension(46 ^ 9,bind([[_22772, _22774], [b, c]]))).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.2.1.1',plain,[-(reflexive_rewrite(c, b)), equalish(c, a), reflexive_rewrite(a, b)],extension(24 ^ 10,bind([[_22043, _22045, _22047], [b, a, c]]))).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.2.1.1.1',plain,[-(equalish(c, a))],reduction('1.1.1.1.2.2')).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.2.1.1.2',plain,[-(reflexive_rewrite(a, b))],extension(2 ^ 11)).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.2.1.2',plain,[rewrite(c, b), -(reflexive_rewrite(c, b))],extension(40 ^ 10,bind([[_22562, _22564], [b, c]]))).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.2.1.2.1',plain,[reflexive_rewrite(c, b), -(goal), reflexive_rewrite(b, b)],extension(6 ^ 11,bind([[_21461], [b]]))).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.2.1.2.1.1',plain,[goal],reduction('1')).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.2.1.2.1.2',plain,[-(reflexive_rewrite(b, b)), equalish(b, b)],extension(34 ^ 12,bind([[_22352, _22354], [b, b]]))).
% 43.41/42.69 ncf('1.1.1.1.2.2.1.1.2.1.2.1.2.1',plain,[-(equalish(b, b))],extension(16 ^ 13,bind([[_21712], [b]]))).
% 43.41/42.69 ncf('1.1.2',plain,[-(reflexive_rewrite(c, 63 ^ [c, b, a])), rewrite(c, 63 ^ [c, b, a])],extension(40 ^ 2,bind([[_22562, _22564], [63 ^ [c, b, a], c]]))).
% 43.41/42.69 ncf('1.1.2.1',plain,[-(rewrite(c, 63 ^ [c, b, a])), rewrite(a, b), rewrite(a, c)],extension(56 ^ 3,bind([[_23066, _23068, _23070], [c, b, a]]))).
% 43.41/42.69 ncf('1.1.2.1.1',plain,[-(rewrite(a, b)), reflexive_rewrite(a, b), -(equalish(a, b))],extension(46 ^ 4,bind([[_22772, _22774], [b, a]]))).
% 43.41/42.69 ncf('1.1.2.1.1.1',plain,[-(reflexive_rewrite(a, b))],extension(2 ^ 5)).
% 43.41/42.69 ncf('1.1.2.1.1.2',plain,[equalish(a, b), -(reflexive_rewrite(a, 63 ^ [c, b, a])), reflexive_rewrite(b, 63 ^ [c, b, a])],extension(24 ^ 5,bind([[_22043, _22045, _22047], [63 ^ [c, b, a], b, a]]))).
% 43.41/42.69 ncf('1.1.2.1.1.2.1',plain,[reflexive_rewrite(a, 63 ^ [c, b, a]), -(reflexive_rewrite(c, 63 ^ [c, b, a])), equalish(c, a)],extension(24 ^ 6,bind([[_22043, _22045, _22047], [63 ^ [c, b, a], a, c]]))).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.1',plain,[reflexive_rewrite(c, 63 ^ [c, b, a])],reduction('1.1')).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2',plain,[-(equalish(c, a)), equalish(a, c)],extension(18 ^ 7,bind([[_21819, _21821], [c, a]]))).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2.1',plain,[-(equalish(a, c)), reflexive_rewrite(a, c), -(rewrite(a, c))],extension(46 ^ 8,bind([[_22772, _22774], [c, a]]))).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2.1.1',plain,[-(reflexive_rewrite(a, c))],extension(4 ^ 9)).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2.1.2',plain,[rewrite(a, c), -(reflexive_rewrite(a, c))],extension(40 ^ 9,bind([[_22562, _22564], [c, a]]))).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2.1.2.1',plain,[reflexive_rewrite(a, c), -(reflexive_rewrite(b, c)), equalish(b, a)],extension(24 ^ 10,bind([[_22043, _22045, _22047], [c, a, b]]))).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2.1.2.1.1',plain,[reflexive_rewrite(b, c), -(goal), reflexive_rewrite(c, c)],extension(6 ^ 11,bind([[_21461], [c]]))).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2.1.2.1.1.1',plain,[goal],reduction('1')).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2.1.2.1.1.2',plain,[-(reflexive_rewrite(c, c)), equalish(c, c)],extension(34 ^ 12,bind([[_22352, _22354], [c, c]]))).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2.1.2.1.1.2.1',plain,[-(equalish(c, c))],extension(16 ^ 13,bind([[_21712], [c]]))).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2.1.2.1.2',plain,[-(equalish(b, a)), equalish(a, b)],extension(18 ^ 11,bind([[_21819, _21821], [b, a]]))).
% 43.41/42.69 ncf('1.1.2.1.1.2.1.2.1.2.1.2.1',plain,[-(equalish(a, b))],reduction('1.1.2.1.1')).
% 43.41/42.69 ncf('1.1.2.1.1.2.2',plain,[-(reflexive_rewrite(b, 63 ^ [c, b, a]))],lemmata('[1].x')).
% 43.41/42.69 ncf('1.1.2.1.2',plain,[-(rewrite(a, c)), reflexive_rewrite(a, c), -(equalish(a, c))],extension(46 ^ 4,bind([[_22772, _22774], [c, a]]))).
% 43.41/42.69 ncf('1.1.2.1.2.1',plain,[-(reflexive_rewrite(a, c))],extension(4 ^ 5)).
% 43.41/42.69 ncf('1.1.2.1.2.2',plain,[equalish(a, c), -(equalish(c, a))],extension(18 ^ 5,bind([[_21819, _21821], [c, a]]))).
% 43.41/42.69 ncf('1.1.2.1.2.2.1',plain,[equalish(c, a), -(reflexive_rewrite(c, a))],extension(34 ^ 6,bind([[_22352, _22354], [a, c]]))).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1',plain,[reflexive_rewrite(c, a), -(reflexive_rewrite(b, a)), equalish(b, c)],extension(24 ^ 7,bind([[_22043, _22045, _22047], [a, c, b]]))).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.1',plain,[reflexive_rewrite(b, a), -(goal), reflexive_rewrite(c, a)],extension(6 ^ 8,bind([[_21461], [a]]))).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.1.1',plain,[goal],reduction('1')).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.1.2',plain,[-(reflexive_rewrite(c, a))],reduction('1.1.2.1.2.2.1')).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.2',plain,[-(equalish(b, c)), equalish(c, b)],extension(18 ^ 8,bind([[_21819, _21821], [b, c]]))).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.2.1',plain,[-(equalish(c, b)), reflexive_rewrite(c, b), -(rewrite(c, b))],extension(46 ^ 9,bind([[_22772, _22774], [b, c]]))).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.2.1.1',plain,[-(reflexive_rewrite(c, b)), equalish(c, a), reflexive_rewrite(a, b)],extension(24 ^ 10,bind([[_22043, _22045, _22047], [b, a, c]]))).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.2.1.1.1',plain,[-(equalish(c, a))],reduction('1.1.2.1.2.2')).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.2.1.1.2',plain,[-(reflexive_rewrite(a, b))],extension(2 ^ 11)).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.2.1.2',plain,[rewrite(c, b), -(reflexive_rewrite(c, b))],extension(40 ^ 10,bind([[_22562, _22564], [b, c]]))).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.2.1.2.1',plain,[reflexive_rewrite(c, b), -(goal), reflexive_rewrite(b, b)],extension(6 ^ 11,bind([[_21461], [b]]))).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.2.1.2.1.1',plain,[goal],reduction('1')).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.2.1.2.1.2',plain,[-(reflexive_rewrite(b, b)), equalish(b, b)],extension(34 ^ 12,bind([[_22352, _22354], [b, b]]))).
% 43.41/42.69 ncf('1.1.2.1.2.2.1.1.2.1.2.1.2.1',plain,[-(equalish(b, b))],extension(16 ^ 13,bind([[_21712], [b]]))).
% 43.41/42.69 %-----------------------------------------------------
% 43.41/42.69 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------