TSTP Solution File: COM007+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 45.78s 45.02s
% Output : Proof 45.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : nanocop.sh %s %d
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 19 03:17:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 45.78/45.02
% 45.78/45.02 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 45.78/45.02 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.78/45.02 %-----------------------------------------------------
% 45.78/45.02 ncf(matrix, plain, [(97 ^ _24591) ^ [] : [goal], !, (62 ^ _21506) ^ [_23484, _23486] : [_23486 = _23484, -(reflexive_rewrite(_23486, _23484))], (20 ^ _21506) ^ [_22262, _22264, _22266, _22268] : [-(reflexive_rewrite(_22266, _22262)), reflexive_rewrite(_22268, _22264), _22268 = _22266, _22264 = _22262], (84 ^ _21506) ^ [_24198, _24200, _24202] : [92 ^ _21506 : [(95 ^ _21506) ^ [] : [-(rewrite(_24198, 91 ^ [_24198, _24200, _24202]))], (93 ^ _21506) ^ [] : [-(rewrite(_24200, 91 ^ [_24198, _24200, _24202]))]], rewrite(_24202, _24200), rewrite(_24202, _24198)], (4 ^ _21506) ^ [_21717, _21719] : [_21719 = _21717, -(_21717 = _21719)], (34 ^ _21506) ^ [_22686, _22688, _22690, _22692] : [-(rewrite(_22690, _22686)), rewrite(_22692, _22688), _22692 = _22690, _22688 = _22686], (48 ^ _21506) ^ [] : [-(reflexive_rewrite(a, b))], (74 ^ _21506) ^ [_23904, _23906] : [reflexive_rewrite(_23906, _23904), -(_23906 = _23904), -(rewrite(_23906, _23904))], (10 ^ _21506) ^ [_21921, _21923, _21925] : [-(_21925 = _21921), _21925 = _21923, _21923 = _21921], (2 ^ _21506) ^ [_21610] : [-(_21610 = _21610)], (50 ^ _21506) ^ [] : [-(reflexive_rewrite(a, c))], (68 ^ _21506) ^ [_23694, _23696] : [rewrite(_23696, _23694), -(reflexive_rewrite(_23696, _23694))], (52 ^ _21506) ^ [_23204] : [-(goal), reflexive_rewrite(b, _23204), reflexive_rewrite(c, _23204)]], input).
% 45.78/45.02 ncf('1',plain,[goal],start(97 ^ 0)).
% 45.78/45.02 ncf('1.1',plain,[-(goal), reflexive_rewrite(b, b), reflexive_rewrite(c, b)],extension(52 ^ 1,bind([[_23204], [b]]))).
% 45.78/45.02 ncf('1.1.1',plain,[-(reflexive_rewrite(b, b)), b = b],extension(62 ^ 2,bind([[_23484, _23486], [b, b]]))).
% 45.78/45.02 ncf('1.1.1.1',plain,[-(b = b), b = b],extension(4 ^ 3,bind([[_21717, _21719], [b, b]]))).
% 45.78/45.02 ncf('1.1.1.1.1',plain,[-(b = b)],extension(2 ^ 4,bind([[_21610], [b]]))).
% 45.78/45.02 ncf('1.1.2',plain,[-(reflexive_rewrite(c, b)), reflexive_rewrite(a, b), a = c, b = b],extension(20 ^ 2,bind([[_22262, _22264, _22266, _22268], [b, b, c, a]]))).
% 45.78/45.02 ncf('1.1.2.1',plain,[-(reflexive_rewrite(a, b)), a = b],extension(62 ^ 3,bind([[_23484, _23486], [b, a]]))).
% 45.78/45.02 ncf('1.1.2.1.1',plain,[-(a = b), b = a],extension(4 ^ 4,bind([[_21717, _21719], [a, b]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1',plain,[-(b = a), b = a, a = a],extension(10 ^ 5,bind([[_21921, _21923, _21925], [a, a, b]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.1',plain,[-(b = a), a = b],extension(4 ^ 6,bind([[_21717, _21719], [b, a]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1',plain,[-(a = b), reflexive_rewrite(a, b), -(rewrite(a, b))],extension(74 ^ 7,bind([[_23904, _23906], [b, a]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1.1',plain,[-(reflexive_rewrite(a, b))],extension(48 ^ 8)).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1.2',plain,[rewrite(a, b), -(rewrite(a, b)), a = a, b = b],extension(34 ^ 8,bind([[_22686, _22688, _22690, _22692], [b, b, a, a]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1.2.1',plain,[rewrite(a, b), -(rewrite(a, b)), a = a, b = b],extension(34 ^ 9,bind([[_22686, _22688, _22690, _22692], [b, b, a, a]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1.2.1.1',plain,[rewrite(a, b), -(reflexive_rewrite(a, b))],extension(68 ^ 10,bind([[_23694, _23696], [b, a]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1.2.1.1.1',plain,[reflexive_rewrite(a, b)],reduction('1.1.2')).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1.2.1.2',plain,[-(a = a)],extension(2 ^ 10,bind([[_21610], [a]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1.2.1.3',plain,[-(b = b)],extension(2 ^ 10,bind([[_21610], [b]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1.2.2',plain,[-(a = a), a = a],extension(4 ^ 9,bind([[_21717, _21719], [a, a]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1.2.2.1',plain,[-(a = a)],extension(2 ^ 10,bind([[_21610], [a]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.1.1.2.3',plain,[-(b = b)],extension(2 ^ 9,bind([[_21610], [b]]))).
% 45.78/45.02 ncf('1.1.2.1.1.1.2',plain,[-(a = a)],extension(2 ^ 6,bind([[_21610], [a]]))).
% 45.78/45.02 ncf('1.1.2.2',plain,[-(a = c), reflexive_rewrite(a, c), -(rewrite(a, c))],extension(74 ^ 3,bind([[_23904, _23906], [c, a]]))).
% 45.78/45.02 ncf('1.1.2.2.1',plain,[-(reflexive_rewrite(a, c))],extension(50 ^ 4)).
% 45.78/45.02 ncf('1.1.2.2.2',plain,[rewrite(a, c), 95 : -(rewrite(b, 91 ^ [b, c, a])), 95 : rewrite(a, b)],extension(84 ^ 4,bind([[_24198, _24200, _24202], [b, c, a]]))).
% 45.78/45.02 ncf('1.1.2.2.2.1',plain,[rewrite(b, 91 ^ [b, c, a]), -(reflexive_rewrite(b, 91 ^ [b, c, a]))],extension(68 ^ 7,bind([[_23694, _23696], [91 ^ [b, c, a], b]]))).
% 45.78/45.02 ncf('1.1.2.2.2.1.1',plain,[reflexive_rewrite(b, 91 ^ [b, c, a]), -(goal), reflexive_rewrite(c, 91 ^ [b, c, a])],extension(52 ^ 8,bind([[_23204], [91 ^ [b, c, a]]]))).
% 45.78/45.02 ncf('1.1.2.2.2.1.1.1',plain,[goal],reduction('1')).
% 45.78/45.02 ncf('1.1.2.2.2.1.1.2',plain,[-(reflexive_rewrite(c, 91 ^ [b, c, a])), rewrite(c, 91 ^ [b, c, a])],extension(68 ^ 9,bind([[_23694, _23696], [91 ^ [b, c, a], c]]))).
% 45.78/45.02 ncf('1.1.2.2.2.1.1.2.1',plain,[-(rewrite(c, 91 ^ [b, c, a]))],extension(93 ^ 10)).
% 45.78/45.02 ncf('1.1.2.2.2.2',plain,[-(rewrite(a, b)), reflexive_rewrite(a, b), -(a = b)],extension(74 ^ 5,bind([[_23904, _23906], [b, a]]))).
% 45.78/45.02 ncf('1.1.2.2.2.2.1',plain,[-(reflexive_rewrite(a, b))],lemmata('[1, 1].x')).
% 45.78/45.02 ncf('1.1.2.2.2.2.2',plain,[a = b, -(reflexive_rewrite(b, c)), reflexive_rewrite(a, b), b = c],extension(20 ^ 6,bind([[_22262, _22264, _22266, _22268], [c, b, b, a]]))).
% 45.78/45.02 ncf('1.1.2.2.2.2.2.1',plain,[reflexive_rewrite(b, c), -(goal), reflexive_rewrite(c, c)],extension(52 ^ 7,bind([[_23204], [c]]))).
% 45.78/45.02 ncf('1.1.2.2.2.2.2.1.1',plain,[goal],reduction('1')).
% 45.78/45.02 ncf('1.1.2.2.2.2.2.1.2',plain,[-(reflexive_rewrite(c, c)), c = c],extension(62 ^ 8,bind([[_23484, _23486], [c, c]]))).
% 45.78/45.02 ncf('1.1.2.2.2.2.2.1.2.1',plain,[-(c = c), c = c],extension(4 ^ 9,bind([[_21717, _21719], [c, c]]))).
% 45.78/45.02 ncf('1.1.2.2.2.2.2.1.2.1.1',plain,[-(c = c)],extension(2 ^ 10,bind([[_21610], [c]]))).
% 45.78/45.02 ncf('1.1.2.2.2.2.2.2',plain,[-(reflexive_rewrite(a, b)), a = b],extension(62 ^ 7,bind([[_23484, _23486], [b, a]]))).
% 45.78/45.02 ncf('1.1.2.2.2.2.2.2.1',plain,[-(a = b)],reduction('1.1.2.2.2.2')).
% 45.78/45.02 ncf('1.1.2.2.2.2.2.3',plain,[-(b = c), reflexive_rewrite(b, c), -(rewrite(b, c))],extension(74 ^ 7,bind([[_23904, _23906], [c, b]]))).
% 45.78/45.02 ncf('1.1.2.2.2.2.2.3.1',plain,[-(reflexive_rewrite(b, c)), rewrite(b, c)],extension(68 ^ 8,bind([[_23694, _23696], [c, b]]))).
% 45.78/45.02 ncf('1.1.2.2.2.2.2.3.1.1',plain,[-(rewrite(b, c)), rewrite(a, c), a = b, c = c],extension(34 ^ 9,bind([[_22686, _22688, _22690, _22692], [c, c, b, a]]))).
% 45.78/45.03 ncf('1.1.2.2.2.2.2.3.1.1.1',plain,[-(rewrite(a, c))],reduction('1.1.2.2')).
% 45.78/45.03 ncf('1.1.2.2.2.2.2.3.1.1.2',plain,[-(a = b)],reduction('1.1.2.2.2.2')).
% 45.78/45.03 ncf('1.1.2.2.2.2.2.3.1.1.3',plain,[-(c = c)],extension(2 ^ 10,bind([[_21610], [c]]))).
% 45.78/45.03 ncf('1.1.2.2.2.2.2.3.2',plain,[rewrite(b, c), -(reflexive_rewrite(b, c))],extension(68 ^ 8,bind([[_23694, _23696], [c, b]]))).
% 45.78/45.03 ncf('1.1.2.2.2.2.2.3.2.1',plain,[reflexive_rewrite(b, c)],lemmata('[2, 2, 2, 2, 1, 1].x')).
% 45.78/45.03 ncf('1.1.2.3',plain,[-(b = b)],extension(2 ^ 3,bind([[_21610], [b]]))).
% 45.78/45.03 %-----------------------------------------------------
% 45.78/45.03 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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