TSTP Solution File: GRP194+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : GRP194+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 11:15:51 EDT 2023
% Result : Theorem 49.17s 47.89s
% Output : Proof 49.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP194+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 19 02:13:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 49.17/47.89
% 49.17/47.89 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 49.17/47.89 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.17/47.89 %-----------------------------------------------------
% 49.17/47.89 ncf(matrix, plain, [(144 ^ _35037) ^ [] : [left_zero(h, phi(f_left_zero))], !, (2 ^ _30179) ^ [_30303] : [-(_30303 = _30303)], (62 ^ _30179) ^ [_32299, _32301] : [_32301 = _32299, -(phi(_32301) = phi(_32299))], (117 ^ _30179) ^ [_34213, _34215] : [left_zero(_34215, _34213), 120 ^ _30179 : [(123 ^ _30179) ^ [_34426] : [group_member(_34426, _34215), -(multiply(_34215, _34213, _34426) = _34213)], (121 ^ _30179) ^ [] : [-(group_member(_34213, _34215))]]], (68 ^ _30179) ^ [_32557, _32559, _32561] : [-(group_member(multiply(_32561, _32559, _32557), _32561)), group_member(_32559, _32561), group_member(_32557, _32561)], (10 ^ _30179) ^ [_30614, _30616, _30618] : [-(_30618 = _30614), _30618 = _30616, _30616 = _30614], (129 ^ _30179) ^ [_34613, _34615] : [-(left_zero(_34615, _34613)), group_member(_34613, _34615), 135 ^ _30179 : [(138 ^ _30179) ^ [] : [multiply(_34615, _34613, 134 ^ [_34613, _34615]) = _34613], (136 ^ _30179) ^ [] : [-(group_member(134 ^ [_34613, _34615], _34615))]]], (92 ^ _30179) ^ [_33318] : [group_member(_33318, f), -(group_member(phi(_33318), h))], (98 ^ _30179) ^ [_33526, _33528] : [-(multiply(h, phi(_33528), phi(_33526)) = phi(multiply(f, _33528, _33526))), group_member(_33528, f), group_member(_33526, f)], (34 ^ _30179) ^ [_31379, _31381, _31383, _31385] : [-(left_zero(_31383, _31379)), left_zero(_31385, _31381), _31385 = _31383, _31381 = _31379], (108 ^ _30179) ^ [_33839] : [group_member(_33839, h), 112 ^ _30179 : [(115 ^ _30179) ^ [] : [-(phi(111 ^ [_33839]) = _33839)], (113 ^ _30179) ^ [] : [-(group_member(111 ^ [_33839], f))]]], (48 ^ _30179) ^ [_31859, _31861, _31863, _31865, _31867, _31869] : [-(multiply(_31869, _31865, _31861) = multiply(_31867, _31863, _31859)), _31869 = _31867, _31865 = _31863, _31861 = _31859], (20 ^ _30179) ^ [_30955, _30957, _30959, _30961] : [-(group_member(_30959, _30955)), group_member(_30961, _30957), _30961 = _30959, _30957 = _30955], (142 ^ _30179) ^ [] : [-(left_zero(f, f_left_zero))], (78 ^ _30179) ^ [_32882, _32884, _32886, _32888] : [-(multiply(_32888, multiply(_32888, _32886, _32884), _32882) = multiply(_32888, _32886, multiply(_32888, _32884, _32882))), group_member(_32886, _32888), group_member(_32884, _32888), group_member(_32882, _32888)], (4 ^ _30179) ^ [_30410, _30412] : [_30412 = _30410, -(_30410 = _30412)]], input).
% 49.17/47.89 ncf('1',plain,[left_zero(h, phi(f_left_zero))],start(144 ^ 0)).
% 49.17/47.89 ncf('1.1',plain,[-(left_zero(h, phi(f_left_zero))), group_member(phi(f_left_zero), h), 136 : -(group_member(134 ^ [phi(f_left_zero), h], h))],extension(129 ^ 1,bind([[_34613, _34615], [phi(f_left_zero), h]]))).
% 49.17/47.89 ncf('1.1.1',plain,[-(group_member(phi(f_left_zero), h)), group_member(f_left_zero, f)],extension(92 ^ 2,bind([[_33318], [f_left_zero]]))).
% 49.17/47.89 ncf('1.1.1.1',plain,[-(group_member(f_left_zero, f)), left_zero(f, f_left_zero)],extension(117 ^ 3,bind([[_34213, _34215], [f_left_zero, f]]))).
% 49.17/47.89 ncf('1.1.1.1.1',plain,[-(left_zero(f, f_left_zero)), left_zero(f, f_left_zero), f = f, f_left_zero = f_left_zero],extension(34 ^ 4,bind([[_31379, _31381, _31383, _31385], [f_left_zero, f_left_zero, f, f]]))).
% 49.17/47.89 ncf('1.1.1.1.1.1',plain,[-(left_zero(f, f_left_zero)), left_zero(f, f_left_zero), f = f, f_left_zero = f_left_zero],extension(34 ^ 5,bind([[_31379, _31381, _31383, _31385], [f_left_zero, f_left_zero, f, f]]))).
% 49.17/47.89 ncf('1.1.1.1.1.1.1',plain,[-(left_zero(f, f_left_zero)), left_zero(f, f_left_zero), f = f, f_left_zero = f_left_zero],extension(34 ^ 6,bind([[_31379, _31381, _31383, _31385], [f_left_zero, f_left_zero, f, f]]))).
% 49.17/47.89 ncf('1.1.1.1.1.1.1.1',plain,[-(left_zero(f, f_left_zero))],extension(142 ^ 7)).
% 49.17/47.89 ncf('1.1.1.1.1.1.1.2',plain,[-(f = f)],extension(2 ^ 7,bind([[_30303], [f]]))).
% 49.17/47.89 ncf('1.1.1.1.1.1.1.3',plain,[-(f_left_zero = f_left_zero)],extension(2 ^ 7,bind([[_30303], [f_left_zero]]))).
% 49.17/47.89 ncf('1.1.1.1.1.1.2',plain,[-(f = f)],extension(2 ^ 6,bind([[_30303], [f]]))).
% 49.17/47.89 ncf('1.1.1.1.1.1.3',plain,[-(f_left_zero = f_left_zero)],extension(2 ^ 6,bind([[_30303], [f_left_zero]]))).
% 49.17/47.89 ncf('1.1.1.1.1.2',plain,[-(f = f)],extension(2 ^ 5,bind([[_30303], [f]]))).
% 49.17/47.89 ncf('1.1.1.1.1.3',plain,[-(f_left_zero = f_left_zero)],extension(2 ^ 5,bind([[_30303], [f_left_zero]]))).
% 49.17/47.89 ncf('1.1.2',plain,[group_member(134 ^ [phi(f_left_zero), h], h), 113 : -(group_member(111 ^ [134 ^ [phi(f_left_zero), h]], f))],extension(108 ^ 4,bind([[_33839], [134 ^ [phi(f_left_zero), h]]]))).
% 49.17/47.89 ncf('1.1.2.1',plain,[group_member(111 ^ [134 ^ [phi(f_left_zero), h]], f), -(multiply(h, phi(f_left_zero), phi(111 ^ [134 ^ [phi(f_left_zero), h]])) = phi(multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]]))), group_member(f_left_zero, f)],extension(98 ^ 7,bind([[_33526, _33528], [111 ^ [134 ^ [phi(f_left_zero), h]], f_left_zero]]))).
% 49.17/47.89 ncf('1.1.2.1.1',plain,[multiply(h, phi(f_left_zero), phi(111 ^ [134 ^ [phi(f_left_zero), h]])) = phi(multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]])), -(multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h]) = phi(multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]]))), multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h]) = multiply(h, phi(f_left_zero), phi(111 ^ [134 ^ [phi(f_left_zero), h]]))],extension(10 ^ 8,bind([[_30614, _30616, _30618], [phi(multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]])), multiply(h, phi(f_left_zero), phi(111 ^ [134 ^ [phi(f_left_zero), h]])), multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h])]]))).
% 49.17/47.89 ncf('1.1.2.1.1.1',plain,[multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h]) = phi(multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]])), -(multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h]) = phi(f_left_zero)), phi(multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]])) = phi(f_left_zero)],extension(10 ^ 9,bind([[_30614, _30616, _30618], [phi(f_left_zero), phi(multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]])), multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h])]]))).
% 49.17/47.89 ncf('1.1.2.1.1.1.1',plain,[multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h]) = phi(f_left_zero), -(multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h]) = phi(f_left_zero)), phi(f_left_zero) = phi(f_left_zero)],extension(10 ^ 10,bind([[_30614, _30616, _30618], [phi(f_left_zero), phi(f_left_zero), multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h])]]))).
% 49.17/47.89 ncf('1.1.2.1.1.1.1.1',plain,[multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h]) = phi(f_left_zero)],extension(138 ^ 11)).
% 49.17/47.89 ncf('1.1.2.1.1.1.1.2',plain,[-(phi(f_left_zero) = phi(f_left_zero))],extension(2 ^ 11,bind([[_30303], [phi(f_left_zero)]]))).
% 49.17/47.89 ncf('1.1.2.1.1.1.2',plain,[-(phi(multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]])) = phi(f_left_zero)), multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]]) = f_left_zero],extension(62 ^ 10,bind([[_32299, _32301], [f_left_zero, multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]])]]))).
% 49.17/47.89 ncf('1.1.2.1.1.1.2.1',plain,[-(multiply(f, f_left_zero, 111 ^ [134 ^ [phi(f_left_zero), h]]) = f_left_zero), 123 : group_member(111 ^ [134 ^ [phi(f_left_zero), h]], f), 123 : left_zero(f, f_left_zero)],extension(117 ^ 11,bind([[_34213, _34215, _34426], [f_left_zero, f, 111 ^ [134 ^ [phi(f_left_zero), h]]]]))).
% 49.17/47.89 ncf('1.1.2.1.1.1.2.1.1',plain,[-(group_member(111 ^ [134 ^ [phi(f_left_zero), h]], f))],reduction('1.1.2')).
% 49.17/47.89 ncf('1.1.2.1.1.1.2.1.2',plain,[-(left_zero(f, f_left_zero))],extension(142 ^ 12)).
% 49.17/47.89 ncf('1.1.2.1.1.2',plain,[-(multiply(h, phi(f_left_zero), 134 ^ [phi(f_left_zero), h]) = multiply(h, phi(f_left_zero), phi(111 ^ [134 ^ [phi(f_left_zero), h]]))), h = h, phi(f_left_zero) = phi(f_left_zero), 134 ^ [phi(f_left_zero), h] = phi(111 ^ [134 ^ [phi(f_left_zero), h]])],extension(48 ^ 9,bind([[_31859, _31861, _31863, _31865, _31867, _31869], [phi(111 ^ [134 ^ [phi(f_left_zero), h]]), 134 ^ [phi(f_left_zero), h], phi(f_left_zero), phi(f_left_zero), h, h]]))).
% 49.17/47.89 ncf('1.1.2.1.1.2.1',plain,[-(h = h)],extension(2 ^ 10,bind([[_30303], [h]]))).
% 49.17/47.89 ncf('1.1.2.1.1.2.2',plain,[-(phi(f_left_zero) = phi(f_left_zero))],extension(2 ^ 10,bind([[_30303], [phi(f_left_zero)]]))).
% 49.17/47.89 ncf('1.1.2.1.1.2.3',plain,[-(134 ^ [phi(f_left_zero), h] = phi(111 ^ [134 ^ [phi(f_left_zero), h]])), phi(111 ^ [134 ^ [phi(f_left_zero), h]]) = 134 ^ [phi(f_left_zero), h]],extension(4 ^ 10,bind([[_30410, _30412], [134 ^ [phi(f_left_zero), h], phi(111 ^ [134 ^ [phi(f_left_zero), h]])]]))).
% 49.17/47.89 ncf('1.1.2.1.1.2.3.1',plain,[-(phi(111 ^ [134 ^ [phi(f_left_zero), h]]) = 134 ^ [phi(f_left_zero), h])],extension(115 ^ 11)).
% 49.17/47.89 ncf('1.1.2.1.2',plain,[-(group_member(f_left_zero, f)), left_zero(f, f_left_zero)],extension(117 ^ 8,bind([[_34213, _34215], [f_left_zero, f]]))).
% 49.17/47.89 ncf('1.1.2.1.2.1',plain,[-(left_zero(f, f_left_zero)), left_zero(f, f_left_zero), f = f, f_left_zero = f_left_zero],extension(34 ^ 9,bind([[_31379, _31381, _31383, _31385], [f_left_zero, f_left_zero, f, f]]))).
% 49.17/47.89 ncf('1.1.2.1.2.1.1',plain,[-(left_zero(f, f_left_zero)), left_zero(f, f_left_zero), f = f, f_left_zero = f_left_zero],extension(34 ^ 10,bind([[_31379, _31381, _31383, _31385], [f_left_zero, f_left_zero, f, f]]))).
% 49.17/47.89 ncf('1.1.2.1.2.1.1.1',plain,[-(left_zero(f, f_left_zero))],extension(142 ^ 11)).
% 49.17/47.89 ncf('1.1.2.1.2.1.1.2',plain,[-(f = f)],extension(2 ^ 11,bind([[_30303], [f]]))).
% 49.17/47.89 ncf('1.1.2.1.2.1.1.3',plain,[-(f_left_zero = f_left_zero)],extension(2 ^ 11,bind([[_30303], [f_left_zero]]))).
% 49.17/47.89 ncf('1.1.2.1.2.1.2',plain,[-(f = f)],extension(2 ^ 10,bind([[_30303], [f]]))).
% 49.17/47.89 ncf('1.1.2.1.2.1.3',plain,[-(f_left_zero = f_left_zero)],extension(2 ^ 10,bind([[_30303], [f_left_zero]]))).
% 49.17/47.89 %-----------------------------------------------------
% 49.17/47.89 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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