%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MSC015-1.010 : TPTP v9.0.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% 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 : Sat Jun 21 05:17:32 AM UTC 2025
% Result : Unsatisfiable 1.70s 1.87s
% Output : Proof 2.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MSC015-1.010 : TPTP v9.0.0. Released v3.5.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Jun 19 23:34:54 EDT 2025
% 0.13/0.35 % CPUTime :
% 1.70/1.87 % SZS status Unsatisfiable
% 1.70/1.87 % SZS output start Proof
% 1.70/1.87 tff(p_type, type, (
% 1.70/1.87 p: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o)).
% 1.70/1.87 tff(s0_type, type, (
% 1.70/1.87 s0: $i)).
% 1.70/1.87 tff(s1_type, type, (
% 1.70/1.87 s1: $i)).
% 1.70/1.87 tff(1,assumption,(~p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(2,assumption,(~p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(3,assumption,(~p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(4,assumption,(~p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s1)), introduced(assumption)).
% 1.70/1.87 tff(5,assumption,(~p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(6,assumption,(~p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(7,assumption,(~p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(8,assumption,(~p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s1)), introduced(assumption)).
% 1.70/1.87 tff(9,assumption,(~p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(10,assumption,(~p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(11,assumption,(~p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(12,assumption,(~p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s1)), introduced(assumption)).
% 1.70/1.87 tff(13,assumption,(~p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(14,assumption,(~p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(15,assumption,(~p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(16,assumption,(~p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s1)), introduced(assumption)).
% 1.70/1.87 tff(17,assumption,(~p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(18,assumption,(~p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(19,assumption,(~p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(20,assumption,(~p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s1)), introduced(assumption)).
% 1.70/1.87 tff(21,assumption,(~p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(22,assumption,(~p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(23,assumption,(~p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(24,assumption,(~p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s1)), introduced(assumption)).
% 1.70/1.87 tff(25,assumption,(~p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(26,assumption,(~p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(27,assumption,(~p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(28,assumption,(~p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s1)), introduced(assumption)).
% 1.70/1.87 tff(29,assumption,(~p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(30,assumption,(~p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(31,assumption,(~p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(32,assumption,(~p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s1)), introduced(assumption)).
% 1.70/1.87 tff(33,assumption,(~p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(34,assumption,(~p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(35,assumption,(~p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(36,assumption,(~p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s1)), introduced(assumption)).
% 1.70/1.87 tff(37,assumption,(~p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(38,assumption,(~p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(39,assumption,(~p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(40,assumption,(~p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s1)), introduced(assumption)).
% 1.70/1.87 tff(41,assumption,(~p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(42,assumption,(~p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.87 tff(43,assumption,(~p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.87 tff(44,assumption,(~p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(45,assumption,(~p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(46,assumption,(~p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(47,assumption,(~p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(48,assumption,(~p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(49,assumption,(~p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(50,assumption,(~p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(51,assumption,(~p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(52,assumption,(~p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(53,assumption,(~p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(54,assumption,(~p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(55,assumption,(~p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(56,assumption,(~p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(57,assumption,(~p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(58,assumption,(~p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(59,assumption,(~p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(60,assumption,(~p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(61,assumption,(~p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(62,assumption,(~p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(63,assumption,(~p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(64,assumption,(~p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(65,assumption,(~p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(66,assumption,(~p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(67,assumption,(~p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(68,assumption,(~p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(69,assumption,(~p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(70,assumption,(~p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(71,assumption,(~p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(72,assumption,(~p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(73,assumption,(~p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(74,assumption,(~p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(75,assumption,(~p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(76,assumption,(~p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(77,assumption,(~p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(78,assumption,(~p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(79,assumption,(~p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(80,assumption,(~p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(81,assumption,(~p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(82,assumption,(~p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(83,assumption,(~p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(84,assumption,(~p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(85,assumption,(~p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(86,assumption,(~p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(87,assumption,(~p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(88,assumption,(~p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(89,assumption,(~p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(90,assumption,(~p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(91,assumption,(~p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(92,assumption,(~p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(93,assumption,(~p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(94,assumption,(~p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(95,assumption,(~p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(96,assumption,(~p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(97,assumption,(~p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(98,assumption,(~p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(99,assumption,(~p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(100,assumption,(~p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(101,assumption,(~p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(102,assumption,(~p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(103,assumption,(~p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(104,assumption,(~p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(105,assumption,(~p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(106,assumption,(~p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(107,assumption,(~p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(108,assumption,(~p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(109,assumption,(~p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(110,assumption,(~p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(111,assumption,(~p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(112,assumption,(~p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(113,assumption,(~p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(114,assumption,(~p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(115,assumption,(~p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(116,assumption,(~p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(117,assumption,(~p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(118,assumption,(~p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(119,assumption,(~p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(120,assumption,(~p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(121,assumption,(~p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(122,assumption,(~p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(123,assumption,(~p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(124,assumption,(~p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(125,assumption,(~p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(126,assumption,(~p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(127,assumption,(~p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(128,assumption,(~p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s1)), introduced(assumption)).
% 1.70/1.88 tff(129,assumption,(~p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(130,assumption,(~p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(131,assumption,(~p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(132,assumption,(~p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(133,assumption,(~p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(134,assumption,(~p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(135,assumption,(~p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(136,assumption,(~p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(137,assumption,(~p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(138,assumption,(~p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(139,assumption,(~p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(140,assumption,(~p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(141,assumption,(~p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(142,assumption,(~p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(143,assumption,(~p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(144,assumption,(~p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(145,assumption,(~p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(146,assumption,(~p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(147,assumption,(~p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(148,assumption,(~p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(149,assumption,(~p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(150,assumption,(~p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(151,assumption,(~p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(152,assumption,(~p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(153,assumption,(~p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(154,assumption,(~p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(155,assumption,(~p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(156,assumption,(~p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(157,assumption,(~p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(158,assumption,(~p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(159,assumption,(~p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(160,assumption,(~p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(161,assumption,(~p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(162,assumption,(~p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(163,assumption,(~p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(164,assumption,(~p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(165,assumption,(~p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(166,assumption,(~p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(167,assumption,(~p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(168,assumption,(~p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(169,assumption,(~p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(170,assumption,(~p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(171,assumption,(~p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(172,assumption,(~p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(173,assumption,(~p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(174,assumption,(~p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(175,assumption,(~p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(176,assumption,(~p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(177,assumption,(~p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(178,assumption,(~p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.88 tff(179,assumption,(~p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.88 tff(180,assumption,(~p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s1)), introduced(assumption)).
% 1.70/1.88 tff(181,assumption,(~p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.89 tff(182,assumption,(~p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.89 tff(183,assumption,(~p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s0)), introduced(assumption)).
% 1.70/1.89 tff(184,assumption,(~p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s1)), introduced(assumption)).
% 1.70/1.89 tff(185,assumption,(~p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s0)), introduced(assumption)).
% 1.70/1.89 tff(186,assumption,(~p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.89 tff(187,assumption,(~p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s0)), introduced(assumption)).
% 1.70/1.89 tff(188,assumption,(~p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s1)), introduced(assumption)).
% 1.70/1.89 tff(189,assumption,(~p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s0)), introduced(assumption)).
% 1.70/1.89 tff(190,assumption,(~p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.89 tff(191,assumption,(~p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s0)), introduced(assumption)).
% 1.70/1.89 tff(192,assumption,(~p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s1)), introduced(assumption)).
% 1.70/1.89 tff(193,assumption,(~p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s0)), introduced(assumption)).
% 1.70/1.89 tff(194,assumption,(~p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s0)), introduced(assumption)).
% 1.70/1.89 tff(195,assumption,(~p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s0)), introduced(assumption)).
% 1.70/1.89 tff(196,assumption,(~p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s1)), introduced(assumption)).
% 1.70/1.89 tff(197,plain,
% 1.70/1.89 (^[X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : refl(((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1)) <=> ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1)))),
% 1.70/1.89 inference(bind,[status(th)],[])).
% 1.70/1.89 tff(198,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1)) <=> ![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))),
% 1.70/1.89 inference(quant_intro,[status(thm)],[197])).
% 1.70/1.89 tff(199,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1)) <=> ![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))),
% 1.70/1.89 inference(rewrite,[status(thm)],[])).
% 1.70/1.89 tff(200,axiom,(![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule1')).
% 1.70/1.89 tff(201,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[200, 199])).
% 1.70/1.89 tff(202,plain,(
% 1.70/1.89 ![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))),
% 1.70/1.89 inference(skolemize,[status(sab)],[201])).
% 1.70/1.89 tff(203,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[202, 198])).
% 1.70/1.89 tff(204,plain,
% 1.70/1.89 (p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s0) <=> p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s0)),
% 1.70/1.89 inference(rewrite,[status(thm)],[])).
% 1.70/1.89 tff(205,axiom,(p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','init')).
% 1.70/1.89 tff(206,plain,
% 1.70/1.89 (p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s0)),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[205, 204])).
% 1.70/1.89 tff(207,plain,
% 1.70/1.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s1))),
% 1.70/1.89 inference(rewrite,[status(thm)],[])).
% 1.70/1.89 tff(208,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s1))),
% 1.70/1.89 inference(quant_inst,[status(thm)],[])).
% 1.70/1.89 tff(209,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s1)),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[208, 207])).
% 1.70/1.89 tff(210,plain,
% 1.70/1.89 (p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s1)),
% 1.70/1.89 inference(unit_resolution,[status(thm)],[209, 206, 203])).
% 1.70/1.89 tff(211,plain,
% 1.70/1.89 (^[X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : refl(((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0)) <=> ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0)))),
% 1.70/1.89 inference(bind,[status(th)],[])).
% 1.70/1.89 tff(212,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0)) <=> ![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))),
% 1.70/1.89 inference(quant_intro,[status(thm)],[211])).
% 1.70/1.89 tff(213,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0)) <=> ![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))),
% 1.70/1.89 inference(rewrite,[status(thm)],[])).
% 1.70/1.89 tff(214,axiom,(![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule2')).
% 1.70/1.89 tff(215,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[214, 213])).
% 1.70/1.89 tff(216,plain,(
% 1.70/1.89 ![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))),
% 1.70/1.89 inference(skolemize,[status(sab)],[215])).
% 1.70/1.89 tff(217,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[216, 212])).
% 1.70/1.89 tff(218,plain,
% 1.70/1.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s0))),
% 1.70/1.89 inference(rewrite,[status(thm)],[])).
% 1.70/1.89 tff(219,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s0))),
% 1.70/1.89 inference(quant_inst,[status(thm)],[])).
% 1.70/1.89 tff(220,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s0)),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[219, 218])).
% 1.70/1.89 tff(221,plain,
% 1.70/1.89 (p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s0)),
% 1.70/1.89 inference(unit_resolution,[status(thm)],[220, 217, 210])).
% 1.70/1.89 tff(222,plain,
% 1.70/1.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s1))),
% 1.70/1.89 inference(rewrite,[status(thm)],[])).
% 1.70/1.89 tff(223,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s1))),
% 1.70/1.89 inference(quant_inst,[status(thm)],[])).
% 1.70/1.89 tff(224,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s1)),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[223, 222])).
% 1.70/1.89 tff(225,plain,
% 1.70/1.89 (p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s1)),
% 1.70/1.89 inference(unit_resolution,[status(thm)],[224, 203, 221])).
% 1.70/1.89 tff(226,plain,
% 1.70/1.89 (^[X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0)) <=> ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0)))),
% 1.70/1.89 inference(bind,[status(th)],[])).
% 1.70/1.89 tff(227,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0)) <=> ![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))),
% 1.70/1.89 inference(quant_intro,[status(thm)],[226])).
% 1.70/1.89 tff(228,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0)) <=> ![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))),
% 1.70/1.89 inference(rewrite,[status(thm)],[])).
% 1.70/1.89 tff(229,axiom,(![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule3')).
% 1.70/1.89 tff(230,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[229, 228])).
% 1.70/1.89 tff(231,plain,(
% 1.70/1.89 ![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))),
% 1.70/1.89 inference(skolemize,[status(sab)],[230])).
% 1.70/1.89 tff(232,plain,
% 1.70/1.89 (![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[231, 227])).
% 1.70/1.89 tff(233,plain,
% 1.70/1.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s0))),
% 1.70/1.89 inference(rewrite,[status(thm)],[])).
% 1.70/1.89 tff(234,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s0))),
% 1.70/1.89 inference(quant_inst,[status(thm)],[])).
% 1.70/1.89 tff(235,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s0)),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[234, 233])).
% 1.70/1.89 tff(236,plain,
% 1.70/1.89 (p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s0)),
% 1.70/1.89 inference(unit_resolution,[status(thm)],[235, 232, 225])).
% 1.70/1.89 tff(237,plain,
% 1.70/1.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s1))),
% 1.70/1.89 inference(rewrite,[status(thm)],[])).
% 1.70/1.89 tff(238,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s1))),
% 1.70/1.89 inference(quant_inst,[status(thm)],[])).
% 1.70/1.89 tff(239,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s1)),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[238, 237])).
% 1.70/1.89 tff(240,plain,
% 1.70/1.89 (p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s1)),
% 1.70/1.89 inference(unit_resolution,[status(thm)],[239, 203, 236])).
% 1.70/1.89 tff(241,plain,
% 1.70/1.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s0))),
% 1.70/1.89 inference(rewrite,[status(thm)],[])).
% 1.70/1.89 tff(242,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s0))),
% 1.70/1.89 inference(quant_inst,[status(thm)],[])).
% 1.70/1.89 tff(243,plain,
% 1.70/1.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s0)),
% 1.70/1.89 inference(modus_ponens,[status(thm)],[242, 241])).
% 1.70/1.89 tff(244,plain,
% 1.70/1.89 (p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s0)),
% 1.70/1.89 inference(unit_resolution,[status(thm)],[243, 217, 240])).
% 1.70/1.89 tff(245,plain,
% 1.70/1.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s1))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(246,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s1))),
% 1.70/1.90 inference(quant_inst,[status(thm)],[])).
% 1.70/1.90 tff(247,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s1)),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[246, 245])).
% 1.70/1.90 tff(248,plain,
% 1.70/1.90 (p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s1)),
% 1.70/1.90 inference(unit_resolution,[status(thm)],[247, 203, 244])).
% 1.70/1.90 tff(249,plain,
% 1.70/1.90 (^[X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0)) <=> ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0)))),
% 1.70/1.90 inference(bind,[status(th)],[])).
% 1.70/1.90 tff(250,plain,
% 1.70/1.90 (![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0)) <=> ![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))),
% 1.70/1.90 inference(quant_intro,[status(thm)],[249])).
% 1.70/1.90 tff(251,plain,
% 1.70/1.90 (![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0)) <=> ![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(252,axiom,(![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule4')).
% 1.70/1.90 tff(253,plain,
% 1.70/1.90 (![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[252, 251])).
% 1.70/1.90 tff(254,plain,(
% 1.70/1.90 ![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))),
% 1.70/1.90 inference(skolemize,[status(sab)],[253])).
% 1.70/1.90 tff(255,plain,
% 1.70/1.90 (![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[254, 250])).
% 1.70/1.90 tff(256,plain,
% 1.70/1.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s0))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(257,plain,
% 1.70/1.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s0))),
% 1.70/1.90 inference(quant_inst,[status(thm)],[])).
% 1.70/1.90 tff(258,plain,
% 1.70/1.90 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s0)),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[257, 256])).
% 1.70/1.90 tff(259,plain,
% 1.70/1.90 (p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s0)),
% 1.70/1.90 inference(unit_resolution,[status(thm)],[258, 255, 248])).
% 1.70/1.90 tff(260,plain,
% 1.70/1.90 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s1))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(261,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s1))),
% 1.70/1.90 inference(quant_inst,[status(thm)],[])).
% 1.70/1.90 tff(262,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s1)),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[261, 260])).
% 1.70/1.90 tff(263,plain,
% 1.70/1.90 (p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s1)),
% 1.70/1.90 inference(unit_resolution,[status(thm)],[262, 203, 259])).
% 1.70/1.90 tff(264,plain,
% 1.70/1.90 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s0))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(265,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s0))),
% 1.70/1.90 inference(quant_inst,[status(thm)],[])).
% 1.70/1.90 tff(266,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s0)),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[265, 264])).
% 1.70/1.90 tff(267,plain,
% 1.70/1.90 (p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s0)),
% 1.70/1.90 inference(unit_resolution,[status(thm)],[266, 217, 263])).
% 1.70/1.90 tff(268,plain,
% 1.70/1.90 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s1))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(269,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s1))),
% 1.70/1.90 inference(quant_inst,[status(thm)],[])).
% 1.70/1.90 tff(270,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s1)),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[269, 268])).
% 1.70/1.90 tff(271,plain,
% 1.70/1.90 ($false),
% 1.70/1.90 inference(unit_resolution,[status(thm)],[270, 203, 267, 196])).
% 1.70/1.90 tff(272,plain,(p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.90 tff(273,plain,
% 1.70/1.90 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s0))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(274,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s0))),
% 1.70/1.90 inference(quant_inst,[status(thm)],[])).
% 1.70/1.90 tff(275,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s0)),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[274, 273])).
% 1.70/1.90 tff(276,plain,
% 1.70/1.90 ($false),
% 1.70/1.90 inference(unit_resolution,[status(thm)],[275, 232, 272, 195])).
% 1.70/1.90 tff(277,plain,(p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.90 tff(278,plain,
% 1.70/1.90 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s1))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(279,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s1))),
% 1.70/1.90 inference(quant_inst,[status(thm)],[])).
% 1.70/1.90 tff(280,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s1)),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[279, 278])).
% 1.70/1.90 tff(281,plain,
% 1.70/1.90 (p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s1)),
% 1.70/1.90 inference(unit_resolution,[status(thm)],[280, 203, 277])).
% 1.70/1.90 tff(282,plain,
% 1.70/1.90 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s0))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(283,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s0))),
% 1.70/1.90 inference(quant_inst,[status(thm)],[])).
% 1.70/1.90 tff(284,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s0)),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[283, 282])).
% 1.70/1.90 tff(285,plain,
% 1.70/1.90 ($false),
% 1.70/1.90 inference(unit_resolution,[status(thm)],[284, 217, 281, 194])).
% 1.70/1.90 tff(286,plain,(p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.90 tff(287,plain,
% 1.70/1.90 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s1))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(288,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s1))),
% 1.70/1.90 inference(quant_inst,[status(thm)],[])).
% 1.70/1.90 tff(289,plain,
% 1.70/1.90 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s1)),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[288, 287])).
% 1.70/1.90 tff(290,plain,
% 1.70/1.90 (p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s1)),
% 1.70/1.90 inference(unit_resolution,[status(thm)],[289, 203, 286])).
% 1.70/1.90 tff(291,plain,
% 1.70/1.90 (^[X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0)) <=> ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0)))),
% 1.70/1.90 inference(bind,[status(th)],[])).
% 1.70/1.90 tff(292,plain,
% 1.70/1.90 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0)) <=> ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))),
% 1.70/1.90 inference(quant_intro,[status(thm)],[291])).
% 1.70/1.90 tff(293,plain,
% 1.70/1.90 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0)) <=> ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))),
% 1.70/1.90 inference(rewrite,[status(thm)],[])).
% 1.70/1.90 tff(294,axiom,(![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule5')).
% 1.70/1.90 tff(295,plain,
% 1.70/1.90 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[294, 293])).
% 1.70/1.90 tff(296,plain,(
% 1.70/1.90 ![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))),
% 1.70/1.90 inference(skolemize,[status(sab)],[295])).
% 1.70/1.90 tff(297,plain,
% 1.70/1.90 (![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))),
% 1.70/1.90 inference(modus_ponens,[status(thm)],[296, 292])).
% 1.70/1.90 tff(298,plain,
% 1.70/1.90 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s0))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(299,plain,
% 1.70/1.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s0))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(300,plain,
% 1.70/1.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s0)),
% 1.70/1.91 inference(modus_ponens,[status(thm)],[299, 298])).
% 1.70/1.91 tff(301,plain,
% 1.70/1.91 (p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s0)),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[300, 297, 290])).
% 1.70/1.91 tff(302,plain,
% 1.70/1.91 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s1))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(303,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s1))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(304,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s1)),
% 1.70/1.91 inference(modus_ponens,[status(thm)],[303, 302])).
% 1.70/1.91 tff(305,plain,
% 1.70/1.91 (p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s1)),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[304, 203, 301])).
% 1.70/1.91 tff(306,plain,
% 1.70/1.91 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s0))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(307,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s0))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(308,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s0)),
% 1.70/1.91 inference(modus_ponens,[status(thm)],[307, 306])).
% 1.70/1.91 tff(309,plain,
% 1.70/1.91 ($false),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[308, 217, 305, 193])).
% 1.70/1.91 tff(310,plain,(p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.91 tff(311,plain,
% 1.70/1.91 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s1))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(312,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s1))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(313,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s1)),
% 1.70/1.91 inference(modus_ponens,[status(thm)],[312, 311])).
% 1.70/1.91 tff(314,plain,
% 1.70/1.91 (p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s1)),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[313, 203, 310])).
% 1.70/1.91 tff(315,plain,
% 1.70/1.91 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s0))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(316,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s0))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(317,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s0)),
% 1.70/1.91 inference(modus_ponens,[status(thm)],[316, 315])).
% 1.70/1.91 tff(318,plain,
% 1.70/1.91 (p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s0)),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[317, 232, 314])).
% 1.70/1.91 tff(319,plain,
% 1.70/1.91 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s1))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(320,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s1))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(321,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s1)),
% 1.70/1.91 inference(modus_ponens,[status(thm)],[320, 319])).
% 1.70/1.91 tff(322,plain,
% 1.70/1.91 ((~p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s1)),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[321, 203])).
% 1.70/1.91 tff(323,plain,
% 1.70/1.91 (p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s1)),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[322, 318])).
% 1.70/1.91 tff(324,plain,
% 1.70/1.91 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s0))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(325,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s0))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(326,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s0)),
% 1.70/1.91 inference(modus_ponens,[status(thm)],[325, 324])).
% 1.70/1.91 tff(327,plain,
% 1.70/1.91 (p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s0)),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[326, 217, 323])).
% 1.70/1.91 tff(328,plain,
% 1.70/1.91 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s1))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(329,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s1))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(330,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s1)),
% 1.70/1.91 inference(modus_ponens,[status(thm)],[329, 328])).
% 1.70/1.91 tff(331,plain,
% 1.70/1.91 (p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s1)),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[330, 203, 327])).
% 1.70/1.91 tff(332,plain,
% 1.70/1.91 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s0))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(333,plain,
% 1.70/1.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s0))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(334,plain,
% 1.70/1.91 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s0)),
% 1.70/1.91 inference(modus_ponens,[status(thm)],[333, 332])).
% 1.70/1.91 tff(335,plain,
% 1.70/1.91 (p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s0)),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[334, 255, 331])).
% 1.70/1.91 tff(336,plain,
% 1.70/1.91 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s1))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(337,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s1))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(338,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s1)),
% 1.70/1.91 inference(modus_ponens,[status(thm)],[337, 336])).
% 1.70/1.91 tff(339,plain,
% 1.70/1.91 (p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s1)),
% 1.70/1.91 inference(unit_resolution,[status(thm)],[338, 203, 335])).
% 1.70/1.91 tff(340,plain,
% 1.70/1.91 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s0))),
% 1.70/1.91 inference(rewrite,[status(thm)],[])).
% 1.70/1.91 tff(341,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s0))),
% 1.70/1.91 inference(quant_inst,[status(thm)],[])).
% 1.70/1.91 tff(342,plain,
% 1.70/1.91 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s0)),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[341, 340])).
% 1.70/1.92 tff(343,plain,
% 1.70/1.92 (p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s0)),
% 1.70/1.92 inference(unit_resolution,[status(thm)],[342, 217, 339])).
% 1.70/1.92 tff(344,plain,
% 1.70/1.92 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s1))),
% 1.70/1.92 inference(rewrite,[status(thm)],[])).
% 1.70/1.92 tff(345,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s1))),
% 1.70/1.92 inference(quant_inst,[status(thm)],[])).
% 1.70/1.92 tff(346,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s1)),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[345, 344])).
% 1.70/1.92 tff(347,plain,
% 1.70/1.92 (p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s1)),
% 1.70/1.92 inference(unit_resolution,[status(thm)],[346, 203, 343])).
% 1.70/1.92 tff(348,plain,
% 1.70/1.92 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s0))),
% 1.70/1.92 inference(rewrite,[status(thm)],[])).
% 1.70/1.92 tff(349,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s0))),
% 1.70/1.92 inference(quant_inst,[status(thm)],[])).
% 1.70/1.92 tff(350,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s0)),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[349, 348])).
% 1.70/1.92 tff(351,plain,
% 1.70/1.92 (p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s0)),
% 1.70/1.92 inference(unit_resolution,[status(thm)],[350, 232, 347])).
% 1.70/1.92 tff(352,plain,
% 1.70/1.92 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s1))),
% 1.70/1.92 inference(rewrite,[status(thm)],[])).
% 1.70/1.92 tff(353,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s1))),
% 1.70/1.92 inference(quant_inst,[status(thm)],[])).
% 1.70/1.92 tff(354,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s1)),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[353, 352])).
% 1.70/1.92 tff(355,plain,
% 1.70/1.92 (p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s1)),
% 1.70/1.92 inference(unit_resolution,[status(thm)],[354, 203, 351])).
% 1.70/1.92 tff(356,plain,
% 1.70/1.92 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s0))),
% 1.70/1.92 inference(rewrite,[status(thm)],[])).
% 1.70/1.92 tff(357,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s0))),
% 1.70/1.92 inference(quant_inst,[status(thm)],[])).
% 1.70/1.92 tff(358,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s0)),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[357, 356])).
% 1.70/1.92 tff(359,plain,
% 1.70/1.92 (p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s0)),
% 1.70/1.92 inference(unit_resolution,[status(thm)],[358, 217, 355])).
% 1.70/1.92 tff(360,plain,
% 1.70/1.92 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s1))),
% 1.70/1.92 inference(rewrite,[status(thm)],[])).
% 1.70/1.92 tff(361,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s1))),
% 1.70/1.92 inference(quant_inst,[status(thm)],[])).
% 1.70/1.92 tff(362,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s1)),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[361, 360])).
% 1.70/1.92 tff(363,plain,
% 1.70/1.92 ($false),
% 1.70/1.92 inference(unit_resolution,[status(thm)],[362, 203, 359, 192])).
% 1.70/1.92 tff(364,plain,(p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.92 tff(365,plain,
% 1.70/1.92 (^[X0: $i, X3: $i, X2: $i, X1: $i] : refl(((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0)) <=> ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0)))),
% 1.70/1.92 inference(bind,[status(th)],[])).
% 1.70/1.92 tff(366,plain,
% 1.70/1.92 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0)) <=> ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))),
% 1.70/1.92 inference(quant_intro,[status(thm)],[365])).
% 1.70/1.92 tff(367,plain,
% 1.70/1.92 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0)) <=> ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))),
% 1.70/1.92 inference(rewrite,[status(thm)],[])).
% 1.70/1.92 tff(368,axiom,(![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule6')).
% 1.70/1.92 tff(369,plain,
% 1.70/1.92 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[368, 367])).
% 1.70/1.92 tff(370,plain,(
% 1.70/1.92 ![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))),
% 1.70/1.92 inference(skolemize,[status(sab)],[369])).
% 1.70/1.92 tff(371,plain,
% 1.70/1.92 (![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[370, 366])).
% 1.70/1.92 tff(372,plain,
% 1.70/1.92 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s0))),
% 1.70/1.92 inference(rewrite,[status(thm)],[])).
% 1.70/1.92 tff(373,plain,
% 1.70/1.92 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s0))),
% 1.70/1.92 inference(quant_inst,[status(thm)],[])).
% 1.70/1.92 tff(374,plain,
% 1.70/1.92 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s0, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s0)),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[373, 372])).
% 1.70/1.92 tff(375,plain,
% 1.70/1.92 ($false),
% 1.70/1.92 inference(unit_resolution,[status(thm)],[374, 371, 364, 191])).
% 1.70/1.92 tff(376,plain,(p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.92 tff(377,plain,
% 1.70/1.92 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s1))),
% 1.70/1.92 inference(rewrite,[status(thm)],[])).
% 1.70/1.92 tff(378,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s1))),
% 1.70/1.92 inference(quant_inst,[status(thm)],[])).
% 1.70/1.92 tff(379,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s1)),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[378, 377])).
% 1.70/1.92 tff(380,plain,
% 1.70/1.92 (p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s1)),
% 1.70/1.92 inference(unit_resolution,[status(thm)],[379, 203, 376])).
% 1.70/1.92 tff(381,plain,
% 1.70/1.92 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s0))),
% 1.70/1.92 inference(rewrite,[status(thm)],[])).
% 1.70/1.92 tff(382,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s0))),
% 1.70/1.92 inference(quant_inst,[status(thm)],[])).
% 1.70/1.92 tff(383,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s0)),
% 1.70/1.92 inference(modus_ponens,[status(thm)],[382, 381])).
% 1.70/1.92 tff(384,plain,
% 1.70/1.92 ($false),
% 1.70/1.92 inference(unit_resolution,[status(thm)],[383, 217, 380, 190])).
% 1.70/1.92 tff(385,plain,(p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.92 tff(386,plain,
% 1.70/1.92 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s1))),
% 1.70/1.92 inference(rewrite,[status(thm)],[])).
% 1.70/1.92 tff(387,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s1))),
% 1.70/1.92 inference(quant_inst,[status(thm)],[])).
% 1.70/1.92 tff(388,plain,
% 1.70/1.92 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s1)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[387, 386])).
% 1.70/1.93 tff(389,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s1)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[388, 203, 385])).
% 1.70/1.93 tff(390,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s0))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(391,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s0))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(392,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s0)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[391, 390])).
% 1.70/1.93 tff(393,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s0)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[392, 232, 389])).
% 1.70/1.93 tff(394,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s1))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(395,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s1))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(396,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s1)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[395, 394])).
% 1.70/1.93 tff(397,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s1)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[396, 203, 393])).
% 1.70/1.93 tff(398,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s0))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(399,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s0))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(400,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s0)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[399, 398])).
% 1.70/1.93 tff(401,plain,
% 1.70/1.93 ($false),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[400, 217, 397, 189])).
% 1.70/1.93 tff(402,plain,(p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.93 tff(403,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s1))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(404,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s1))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(405,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s1)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[404, 403])).
% 1.70/1.93 tff(406,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s1)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[405, 203, 402])).
% 1.70/1.93 tff(407,plain,
% 1.70/1.93 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s0))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(408,plain,
% 1.70/1.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s0))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(409,plain,
% 1.70/1.93 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s0)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[408, 407])).
% 1.70/1.93 tff(410,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s0)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[409, 255, 406])).
% 1.70/1.93 tff(411,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s1))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(412,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s1))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(413,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s1)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[412, 411])).
% 1.70/1.93 tff(414,plain,
% 1.70/1.93 ((~p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s1)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[413, 203])).
% 1.70/1.93 tff(415,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s1)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[414, 410])).
% 1.70/1.93 tff(416,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s0))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(417,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s0))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(418,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s0)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[417, 416])).
% 1.70/1.93 tff(419,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s0)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[418, 217, 415])).
% 1.70/1.93 tff(420,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s1))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(421,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s1))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(422,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s1)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[421, 420])).
% 1.70/1.93 tff(423,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s1)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[422, 203, 419])).
% 1.70/1.93 tff(424,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s0))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(425,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s0))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(426,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s0)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[425, 424])).
% 1.70/1.93 tff(427,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s0)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[426, 232, 423])).
% 1.70/1.93 tff(428,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s1))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(429,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s1))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(430,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s1)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[429, 428])).
% 1.70/1.93 tff(431,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s1)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[430, 203, 427])).
% 1.70/1.93 tff(432,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s0))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(433,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s0))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(434,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s0)),
% 1.70/1.93 inference(modus_ponens,[status(thm)],[433, 432])).
% 1.70/1.93 tff(435,plain,
% 1.70/1.93 (p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s0)),
% 1.70/1.93 inference(unit_resolution,[status(thm)],[434, 217, 431])).
% 1.70/1.93 tff(436,plain,
% 1.70/1.93 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s1))),
% 1.70/1.93 inference(rewrite,[status(thm)],[])).
% 1.70/1.93 tff(437,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s1))),
% 1.70/1.93 inference(quant_inst,[status(thm)],[])).
% 1.70/1.93 tff(438,plain,
% 1.70/1.93 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s1)),
% 1.70/1.94 inference(modus_ponens,[status(thm)],[437, 436])).
% 1.70/1.94 tff(439,plain,
% 1.70/1.94 (p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s1)),
% 1.70/1.94 inference(unit_resolution,[status(thm)],[438, 203, 435])).
% 1.70/1.94 tff(440,plain,
% 1.70/1.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s0))),
% 1.70/1.94 inference(rewrite,[status(thm)],[])).
% 1.70/1.94 tff(441,plain,
% 1.70/1.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s0))),
% 1.70/1.94 inference(quant_inst,[status(thm)],[])).
% 1.70/1.94 tff(442,plain,
% 1.70/1.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s0)),
% 1.70/1.94 inference(modus_ponens,[status(thm)],[441, 440])).
% 1.70/1.94 tff(443,plain,
% 1.70/1.94 (p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s0)),
% 1.70/1.94 inference(unit_resolution,[status(thm)],[442, 297, 439])).
% 1.70/1.94 tff(444,plain,
% 1.70/1.94 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s1))),
% 1.70/1.94 inference(rewrite,[status(thm)],[])).
% 1.70/1.94 tff(445,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s1))),
% 1.70/1.94 inference(quant_inst,[status(thm)],[])).
% 1.70/1.94 tff(446,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s1)),
% 1.70/1.94 inference(modus_ponens,[status(thm)],[445, 444])).
% 1.70/1.94 tff(447,plain,
% 1.70/1.94 (p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s1)),
% 1.70/1.94 inference(unit_resolution,[status(thm)],[446, 203, 443])).
% 1.70/1.94 tff(448,plain,
% 1.70/1.94 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s0))),
% 1.70/1.94 inference(rewrite,[status(thm)],[])).
% 1.70/1.94 tff(449,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s0))),
% 1.70/1.94 inference(quant_inst,[status(thm)],[])).
% 1.70/1.94 tff(450,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s0)),
% 1.70/1.94 inference(modus_ponens,[status(thm)],[449, 448])).
% 1.70/1.94 tff(451,plain,
% 1.70/1.94 (p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s0)),
% 1.70/1.94 inference(unit_resolution,[status(thm)],[450, 217, 447])).
% 1.70/1.94 tff(452,plain,
% 1.70/1.94 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s1))),
% 1.70/1.94 inference(rewrite,[status(thm)],[])).
% 1.70/1.94 tff(453,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s1))),
% 1.70/1.94 inference(quant_inst,[status(thm)],[])).
% 1.70/1.94 tff(454,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s1)),
% 1.70/1.94 inference(modus_ponens,[status(thm)],[453, 452])).
% 1.70/1.94 tff(455,plain,
% 1.70/1.94 ($false),
% 1.70/1.94 inference(unit_resolution,[status(thm)],[454, 203, 451, 188])).
% 1.70/1.94 tff(456,plain,(p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.94 tff(457,plain,
% 1.70/1.94 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s0))),
% 1.70/1.94 inference(rewrite,[status(thm)],[])).
% 1.70/1.94 tff(458,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s0))),
% 1.70/1.94 inference(quant_inst,[status(thm)],[])).
% 1.70/1.94 tff(459,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s0)),
% 1.70/1.94 inference(modus_ponens,[status(thm)],[458, 457])).
% 1.70/1.94 tff(460,plain,
% 1.70/1.94 ($false),
% 1.70/1.94 inference(unit_resolution,[status(thm)],[459, 232, 456, 187])).
% 1.70/1.94 tff(461,plain,(p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.94 tff(462,plain,
% 1.70/1.94 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s1))),
% 1.70/1.94 inference(rewrite,[status(thm)],[])).
% 1.70/1.94 tff(463,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s1))),
% 1.70/1.94 inference(quant_inst,[status(thm)],[])).
% 1.70/1.94 tff(464,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s1)),
% 1.70/1.94 inference(modus_ponens,[status(thm)],[463, 462])).
% 1.70/1.94 tff(465,plain,
% 1.70/1.94 (p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s1)),
% 1.70/1.94 inference(unit_resolution,[status(thm)],[464, 203, 461])).
% 1.70/1.94 tff(466,plain,
% 1.70/1.94 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s0))),
% 1.70/1.94 inference(rewrite,[status(thm)],[])).
% 1.70/1.94 tff(467,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s0))),
% 1.70/1.94 inference(quant_inst,[status(thm)],[])).
% 1.70/1.94 tff(468,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s0)),
% 1.70/1.94 inference(modus_ponens,[status(thm)],[467, 466])).
% 1.70/1.94 tff(469,plain,
% 1.70/1.94 ($false),
% 1.70/1.94 inference(unit_resolution,[status(thm)],[468, 217, 465, 186])).
% 1.70/1.94 tff(470,plain,(p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.70/1.94 tff(471,plain,
% 1.70/1.94 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s1))),
% 1.70/1.94 inference(rewrite,[status(thm)],[])).
% 1.70/1.94 tff(472,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s1))),
% 1.70/1.94 inference(quant_inst,[status(thm)],[])).
% 1.70/1.94 tff(473,plain,
% 1.70/1.94 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s1)),
% 1.70/1.94 inference(modus_ponens,[status(thm)],[472, 471])).
% 1.70/1.94 tff(474,plain,
% 1.70/1.94 (p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s1)),
% 1.70/1.94 inference(unit_resolution,[status(thm)],[473, 203, 470])).
% 1.70/1.94 tff(475,plain,
% 1.70/1.94 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s0))),
% 1.70/1.94 inference(rewrite,[status(thm)],[])).
% 1.70/1.94 tff(476,plain,
% 1.70/1.94 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s0))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(477,plain,
% 1.78/1.95 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s0)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[476, 475])).
% 1.78/1.95 tff(478,plain,
% 1.78/1.95 (p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s0)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[477, 255, 474])).
% 1.78/1.95 tff(479,plain,
% 1.78/1.95 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s1))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(480,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s1))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(481,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s1)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[480, 479])).
% 1.78/1.95 tff(482,plain,
% 1.78/1.95 (p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s1)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[481, 203, 478])).
% 1.78/1.95 tff(483,plain,
% 1.78/1.95 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s0))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(484,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s0))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(485,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s0)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[484, 483])).
% 1.78/1.95 tff(486,plain,
% 1.78/1.95 ($false),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[485, 217, 482, 185])).
% 1.78/1.95 tff(487,plain,(p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.78/1.95 tff(488,plain,
% 1.78/1.95 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s1))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(489,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s1))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(490,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s1)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[489, 488])).
% 1.78/1.95 tff(491,plain,
% 1.78/1.95 (p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s1)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[490, 203, 487])).
% 1.78/1.95 tff(492,plain,
% 1.78/1.95 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s0))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(493,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s0))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(494,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s0)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[493, 492])).
% 1.78/1.95 tff(495,plain,
% 1.78/1.95 (p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s0)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[494, 232, 491])).
% 1.78/1.95 tff(496,plain,
% 1.78/1.95 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s1))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(497,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s1))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(498,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s1)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[497, 496])).
% 1.78/1.95 tff(499,plain,
% 1.78/1.95 ((~p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s1)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[498, 203])).
% 1.78/1.95 tff(500,plain,
% 1.78/1.95 (p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s1)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[499, 495])).
% 1.78/1.95 tff(501,plain,
% 1.78/1.95 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s0))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(502,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s0))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(503,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s0)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[502, 501])).
% 1.78/1.95 tff(504,plain,
% 1.78/1.95 (p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s0)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[503, 217, 500])).
% 1.78/1.95 tff(505,plain,
% 1.78/1.95 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s1))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(506,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s1))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(507,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s1)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[506, 505])).
% 1.78/1.95 tff(508,plain,
% 1.78/1.95 (p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s1)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[507, 203, 504])).
% 1.78/1.95 tff(509,plain,
% 1.78/1.95 (^[X0: $i, X2: $i, X1: $i] : refl(((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0)) <=> ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0)))),
% 1.78/1.95 inference(bind,[status(th)],[])).
% 1.78/1.95 tff(510,plain,
% 1.78/1.95 (![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0)) <=> ![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))),
% 1.78/1.95 inference(quant_intro,[status(thm)],[509])).
% 1.78/1.95 tff(511,plain,
% 1.78/1.95 (![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0)) <=> ![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(512,axiom,(![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule7')).
% 1.78/1.95 tff(513,plain,
% 1.78/1.95 (![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[512, 511])).
% 1.78/1.95 tff(514,plain,(
% 1.78/1.95 ![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))),
% 1.78/1.95 inference(skolemize,[status(sab)],[513])).
% 1.78/1.95 tff(515,plain,
% 1.78/1.95 (![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[514, 510])).
% 1.78/1.95 tff(516,plain,
% 1.78/1.95 (((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s0))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(517,plain,
% 1.78/1.95 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s0))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(518,plain,
% 1.78/1.95 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s0, s0, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s0)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[517, 516])).
% 1.78/1.95 tff(519,plain,
% 1.78/1.95 (p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s0)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[518, 515, 508])).
% 1.78/1.95 tff(520,plain,
% 1.78/1.95 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s1))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(521,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s1))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(522,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s1)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[521, 520])).
% 1.78/1.95 tff(523,plain,
% 1.78/1.95 (p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s1)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[522, 203, 519])).
% 1.78/1.95 tff(524,plain,
% 1.78/1.95 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s0))),
% 1.78/1.95 inference(rewrite,[status(thm)],[])).
% 1.78/1.95 tff(525,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s0))),
% 1.78/1.95 inference(quant_inst,[status(thm)],[])).
% 1.78/1.95 tff(526,plain,
% 1.78/1.95 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s0)),
% 1.78/1.95 inference(modus_ponens,[status(thm)],[525, 524])).
% 1.78/1.95 tff(527,plain,
% 1.78/1.95 (p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s0)),
% 1.78/1.95 inference(unit_resolution,[status(thm)],[526, 217, 523])).
% 1.78/1.95 tff(528,plain,
% 1.78/1.95 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s1))),
% 1.78/1.96 inference(rewrite,[status(thm)],[])).
% 1.78/1.96 tff(529,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s1))),
% 1.78/1.96 inference(quant_inst,[status(thm)],[])).
% 1.78/1.96 tff(530,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s1)),
% 1.78/1.96 inference(modus_ponens,[status(thm)],[529, 528])).
% 1.78/1.96 tff(531,plain,
% 1.78/1.96 (p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s1)),
% 1.78/1.96 inference(unit_resolution,[status(thm)],[530, 203, 527])).
% 1.78/1.96 tff(532,plain,
% 1.78/1.96 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s0))),
% 1.78/1.96 inference(rewrite,[status(thm)],[])).
% 1.78/1.96 tff(533,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s0))),
% 1.78/1.96 inference(quant_inst,[status(thm)],[])).
% 1.78/1.96 tff(534,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s0)),
% 1.78/1.96 inference(modus_ponens,[status(thm)],[533, 532])).
% 1.78/1.96 tff(535,plain,
% 1.78/1.96 (p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s0)),
% 1.78/1.96 inference(unit_resolution,[status(thm)],[534, 232, 531])).
% 1.78/1.96 tff(536,plain,
% 1.78/1.96 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s1))),
% 1.78/1.96 inference(rewrite,[status(thm)],[])).
% 1.78/1.96 tff(537,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s1))),
% 1.78/1.96 inference(quant_inst,[status(thm)],[])).
% 1.78/1.96 tff(538,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s1)),
% 1.78/1.96 inference(modus_ponens,[status(thm)],[537, 536])).
% 1.78/1.96 tff(539,plain,
% 1.78/1.96 (p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s1)),
% 1.78/1.96 inference(unit_resolution,[status(thm)],[538, 203, 535])).
% 1.78/1.96 tff(540,plain,
% 1.78/1.96 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s0))),
% 1.78/1.96 inference(rewrite,[status(thm)],[])).
% 1.78/1.96 tff(541,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s0))),
% 1.78/1.96 inference(quant_inst,[status(thm)],[])).
% 1.78/1.96 tff(542,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s0)),
% 1.78/1.96 inference(modus_ponens,[status(thm)],[541, 540])).
% 1.78/1.96 tff(543,plain,
% 1.78/1.96 (p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s0)),
% 1.78/1.96 inference(unit_resolution,[status(thm)],[542, 217, 539])).
% 1.78/1.96 tff(544,plain,
% 1.78/1.96 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s1))),
% 1.78/1.96 inference(rewrite,[status(thm)],[])).
% 1.78/1.96 tff(545,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s1))),
% 1.78/1.96 inference(quant_inst,[status(thm)],[])).
% 1.78/1.96 tff(546,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s1)),
% 1.78/1.96 inference(modus_ponens,[status(thm)],[545, 544])).
% 1.78/1.96 tff(547,plain,
% 1.78/1.96 ($false),
% 1.78/1.96 inference(unit_resolution,[status(thm)],[546, 203, 543, 184])).
% 1.78/1.96 tff(548,plain,(p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.78/1.96 tff(549,plain,
% 1.78/1.96 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s0))),
% 1.78/1.96 inference(rewrite,[status(thm)],[])).
% 1.78/1.96 tff(550,plain,
% 1.78/1.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s0))),
% 1.78/1.96 inference(quant_inst,[status(thm)],[])).
% 1.78/1.96 tff(551,plain,
% 1.78/1.96 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s0)),
% 1.78/1.96 inference(modus_ponens,[status(thm)],[550, 549])).
% 1.78/1.96 tff(552,plain,
% 1.78/1.96 ($false),
% 1.78/1.96 inference(unit_resolution,[status(thm)],[551, 255, 548, 183])).
% 1.78/1.96 tff(553,plain,(p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.78/1.96 tff(554,plain,
% 1.78/1.96 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s1))),
% 1.78/1.96 inference(rewrite,[status(thm)],[])).
% 1.78/1.96 tff(555,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s1))),
% 1.78/1.96 inference(quant_inst,[status(thm)],[])).
% 1.78/1.96 tff(556,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s1)),
% 1.78/1.96 inference(modus_ponens,[status(thm)],[555, 554])).
% 1.78/1.96 tff(557,plain,
% 1.78/1.96 (p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s1)),
% 1.78/1.96 inference(unit_resolution,[status(thm)],[556, 203, 553])).
% 1.78/1.96 tff(558,plain,
% 1.78/1.96 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s0))),
% 1.78/1.96 inference(rewrite,[status(thm)],[])).
% 1.78/1.96 tff(559,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s0))),
% 1.78/1.96 inference(quant_inst,[status(thm)],[])).
% 1.78/1.96 tff(560,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s0)),
% 1.78/1.96 inference(modus_ponens,[status(thm)],[559, 558])).
% 1.78/1.96 tff(561,plain,
% 1.78/1.96 ($false),
% 1.78/1.96 inference(unit_resolution,[status(thm)],[560, 217, 557, 182])).
% 1.78/1.96 tff(562,plain,(p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.78/1.96 tff(563,plain,
% 1.78/1.96 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s1))),
% 1.78/1.96 inference(rewrite,[status(thm)],[])).
% 1.78/1.96 tff(564,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s1))),
% 1.78/1.96 inference(quant_inst,[status(thm)],[])).
% 1.78/1.96 tff(565,plain,
% 1.78/1.96 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s1)),
% 1.78/1.96 inference(modus_ponens,[status(thm)],[564, 563])).
% 1.78/1.96 tff(566,plain,
% 1.78/1.96 (p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s1)),
% 1.78/1.96 inference(unit_resolution,[status(thm)],[565, 203, 562])).
% 1.78/1.96 tff(567,plain,
% 1.78/1.96 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s0))),
% 1.78/1.97 inference(rewrite,[status(thm)],[])).
% 1.78/1.97 tff(568,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s0))),
% 1.78/1.97 inference(quant_inst,[status(thm)],[])).
% 1.78/1.97 tff(569,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s0)),
% 1.78/1.97 inference(modus_ponens,[status(thm)],[568, 567])).
% 1.78/1.97 tff(570,plain,
% 1.78/1.97 (p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s0)),
% 1.78/1.97 inference(unit_resolution,[status(thm)],[569, 232, 566])).
% 1.78/1.97 tff(571,plain,
% 1.78/1.97 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s1))),
% 1.78/1.97 inference(rewrite,[status(thm)],[])).
% 1.78/1.97 tff(572,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s1))),
% 1.78/1.97 inference(quant_inst,[status(thm)],[])).
% 1.78/1.97 tff(573,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s1)),
% 1.78/1.97 inference(modus_ponens,[status(thm)],[572, 571])).
% 1.78/1.97 tff(574,plain,
% 1.78/1.97 (p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s1)),
% 1.78/1.97 inference(unit_resolution,[status(thm)],[573, 203, 570])).
% 1.78/1.97 tff(575,plain,
% 1.78/1.97 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s0))),
% 1.78/1.97 inference(rewrite,[status(thm)],[])).
% 1.78/1.97 tff(576,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s0))),
% 1.78/1.97 inference(quant_inst,[status(thm)],[])).
% 1.78/1.97 tff(577,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s0)),
% 1.78/1.97 inference(modus_ponens,[status(thm)],[576, 575])).
% 1.78/1.97 tff(578,plain,
% 1.78/1.97 ($false),
% 1.78/1.97 inference(unit_resolution,[status(thm)],[577, 217, 574, 181])).
% 1.78/1.97 tff(579,plain,(p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.78/1.97 tff(580,plain,
% 1.78/1.97 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s1))),
% 1.78/1.97 inference(rewrite,[status(thm)],[])).
% 1.78/1.97 tff(581,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s1))),
% 1.78/1.97 inference(quant_inst,[status(thm)],[])).
% 1.78/1.97 tff(582,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s1)),
% 1.78/1.97 inference(modus_ponens,[status(thm)],[581, 580])).
% 1.78/1.97 tff(583,plain,
% 1.78/1.97 (p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s1)),
% 1.78/1.97 inference(unit_resolution,[status(thm)],[582, 203, 579])).
% 1.78/1.97 tff(584,plain,
% 1.78/1.97 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s0))),
% 1.78/1.97 inference(rewrite,[status(thm)],[])).
% 1.78/1.97 tff(585,plain,
% 1.78/1.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s0))),
% 1.78/1.97 inference(quant_inst,[status(thm)],[])).
% 1.78/1.97 tff(586,plain,
% 1.78/1.97 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s0)),
% 1.78/1.97 inference(modus_ponens,[status(thm)],[585, 584])).
% 1.78/1.97 tff(587,plain,
% 1.78/1.97 (p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s0)),
% 1.78/1.97 inference(unit_resolution,[status(thm)],[586, 297, 583])).
% 1.78/1.97 tff(588,plain,
% 1.78/1.97 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s1))),
% 1.78/1.97 inference(rewrite,[status(thm)],[])).
% 1.78/1.97 tff(589,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s1))),
% 1.78/1.97 inference(quant_inst,[status(thm)],[])).
% 1.78/1.97 tff(590,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s1)),
% 1.78/1.97 inference(modus_ponens,[status(thm)],[589, 588])).
% 1.78/1.97 tff(591,plain,
% 1.78/1.97 ((~p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s1)),
% 1.78/1.97 inference(unit_resolution,[status(thm)],[590, 203])).
% 1.78/1.97 tff(592,plain,
% 1.78/1.97 (p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s1)),
% 1.78/1.97 inference(unit_resolution,[status(thm)],[591, 587])).
% 1.78/1.97 tff(593,plain,
% 1.78/1.97 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s0))),
% 1.78/1.97 inference(rewrite,[status(thm)],[])).
% 1.78/1.97 tff(594,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s0))),
% 1.78/1.97 inference(quant_inst,[status(thm)],[])).
% 1.78/1.97 tff(595,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s0)),
% 1.78/1.97 inference(modus_ponens,[status(thm)],[594, 593])).
% 1.78/1.97 tff(596,plain,
% 1.78/1.97 (p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s0)),
% 1.78/1.97 inference(unit_resolution,[status(thm)],[595, 217, 592])).
% 1.78/1.97 tff(597,plain,
% 1.78/1.97 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s1))),
% 1.78/1.97 inference(rewrite,[status(thm)],[])).
% 1.78/1.97 tff(598,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s1))),
% 1.78/1.97 inference(quant_inst,[status(thm)],[])).
% 1.78/1.97 tff(599,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s1)),
% 1.78/1.97 inference(modus_ponens,[status(thm)],[598, 597])).
% 1.78/1.97 tff(600,plain,
% 1.78/1.97 (p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s1)),
% 1.78/1.97 inference(unit_resolution,[status(thm)],[599, 203, 596])).
% 1.78/1.97 tff(601,plain,
% 1.78/1.97 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s0))),
% 1.78/1.97 inference(rewrite,[status(thm)],[])).
% 1.78/1.97 tff(602,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s0))),
% 1.78/1.97 inference(quant_inst,[status(thm)],[])).
% 1.78/1.97 tff(603,plain,
% 1.78/1.97 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s0)),
% 1.78/1.97 inference(modus_ponens,[status(thm)],[602, 601])).
% 1.78/1.97 tff(604,plain,
% 1.78/1.97 (p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s0)),
% 1.78/1.97 inference(unit_resolution,[status(thm)],[603, 232, 600])).
% 1.78/1.97 tff(605,plain,
% 1.78/1.97 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s1))),
% 1.78/1.98 inference(rewrite,[status(thm)],[])).
% 1.78/1.98 tff(606,plain,
% 1.78/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s1))),
% 1.78/1.98 inference(quant_inst,[status(thm)],[])).
% 1.78/1.98 tff(607,plain,
% 1.78/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s1)),
% 1.78/1.98 inference(modus_ponens,[status(thm)],[606, 605])).
% 1.78/1.98 tff(608,plain,
% 1.78/1.98 (p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s1)),
% 1.78/1.98 inference(unit_resolution,[status(thm)],[607, 203, 604])).
% 1.78/1.98 tff(609,plain,
% 1.78/1.98 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s0))),
% 1.78/1.98 inference(rewrite,[status(thm)],[])).
% 1.78/1.98 tff(610,plain,
% 1.78/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s0))),
% 1.78/1.98 inference(quant_inst,[status(thm)],[])).
% 1.78/1.98 tff(611,plain,
% 1.78/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s0)),
% 1.78/1.98 inference(modus_ponens,[status(thm)],[610, 609])).
% 1.78/1.98 tff(612,plain,
% 1.78/1.98 (p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s0)),
% 1.78/1.98 inference(unit_resolution,[status(thm)],[611, 217, 608])).
% 1.78/1.98 tff(613,plain,
% 1.78/1.98 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s1))),
% 1.78/1.98 inference(rewrite,[status(thm)],[])).
% 1.78/1.98 tff(614,plain,
% 1.78/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s1))),
% 1.78/1.98 inference(quant_inst,[status(thm)],[])).
% 1.78/1.98 tff(615,plain,
% 1.78/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s1)),
% 1.78/1.98 inference(modus_ponens,[status(thm)],[614, 613])).
% 1.78/1.98 tff(616,plain,
% 1.78/1.98 (p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s1)),
% 1.78/1.98 inference(unit_resolution,[status(thm)],[615, 203, 612])).
% 1.78/1.98 tff(617,plain,
% 1.78/1.98 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s0))),
% 1.78/1.98 inference(rewrite,[status(thm)],[])).
% 1.78/1.98 tff(618,plain,
% 1.78/1.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s0))),
% 1.78/1.98 inference(quant_inst,[status(thm)],[])).
% 1.78/1.98 tff(619,plain,
% 1.78/1.98 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s0)),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[618, 617])).
% 1.82/1.98 tff(620,plain,
% 1.82/1.98 (p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s0)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[619, 255, 616])).
% 1.82/1.98 tff(621,plain,
% 1.82/1.98 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s1))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(622,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s1))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(623,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s1)),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[622, 621])).
% 1.82/1.98 tff(624,plain,
% 1.82/1.98 (p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s1)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[623, 203, 620])).
% 1.82/1.98 tff(625,plain,
% 1.82/1.98 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s0))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(626,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s0))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(627,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s0)),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[626, 625])).
% 1.82/1.98 tff(628,plain,
% 1.82/1.98 (p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s0)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[627, 217, 624])).
% 1.82/1.98 tff(629,plain,
% 1.82/1.98 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s1))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(630,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s1))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(631,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s1)),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[630, 629])).
% 1.82/1.98 tff(632,plain,
% 1.82/1.98 ($false),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[631, 203, 628, 180])).
% 1.82/1.98 tff(633,plain,(p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.98 tff(634,plain,
% 1.82/1.98 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s0))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(635,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s0))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(636,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s0)),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[635, 634])).
% 1.82/1.98 tff(637,plain,
% 1.82/1.98 ($false),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[636, 232, 633, 179])).
% 1.82/1.98 tff(638,plain,(p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.98 tff(639,plain,
% 1.82/1.98 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s1))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(640,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s1))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(641,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s1)),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[640, 639])).
% 1.82/1.98 tff(642,plain,
% 1.82/1.98 (p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s1)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[641, 203, 638])).
% 1.82/1.98 tff(643,plain,
% 1.82/1.98 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s0))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(644,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s0))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(645,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s0)),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[644, 643])).
% 1.82/1.98 tff(646,plain,
% 1.82/1.98 ($false),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[645, 217, 642, 178])).
% 1.82/1.98 tff(647,plain,(p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.98 tff(648,plain,
% 1.82/1.98 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s1))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(649,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s1))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(650,plain,
% 1.82/1.98 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s1)),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[649, 648])).
% 1.82/1.98 tff(651,plain,
% 1.82/1.98 (p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s1)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[650, 203, 647])).
% 1.82/1.98 tff(652,plain,
% 1.82/1.98 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s0))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(653,plain,
% 1.82/1.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s0))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(654,plain,
% 1.82/1.98 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s0, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s0)),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[653, 652])).
% 1.82/1.98 tff(655,plain,
% 1.82/1.98 (p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s0)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[654, 371, 651])).
% 1.82/1.99 tff(656,plain,
% 1.82/1.99 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s1))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(657,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s1))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(658,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s1)),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[657, 656])).
% 1.82/1.99 tff(659,plain,
% 1.82/1.99 (p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s1)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[658, 203, 655])).
% 1.82/1.99 tff(660,plain,
% 1.82/1.99 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s0))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(661,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s0))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(662,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s0)),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[661, 660])).
% 1.82/1.99 tff(663,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[662, 217, 659, 177])).
% 1.82/1.99 tff(664,plain,(p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(665,plain,
% 1.82/1.99 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s1))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(666,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s1))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(667,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s1)),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[666, 665])).
% 1.82/1.99 tff(668,plain,
% 1.82/1.99 (p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s1)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[667, 203, 664])).
% 1.82/1.99 tff(669,plain,
% 1.82/1.99 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s0))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(670,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s0))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(671,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s0)),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[670, 669])).
% 1.82/1.99 tff(672,plain,
% 1.82/1.99 (p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s0)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[671, 232, 668])).
% 1.82/1.99 tff(673,plain,
% 1.82/1.99 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s1))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(674,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s1))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(675,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s1)),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[674, 673])).
% 1.82/1.99 tff(676,plain,
% 1.82/1.99 ((~p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s1)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[675, 203])).
% 1.82/1.99 tff(677,plain,
% 1.82/1.99 (p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s1)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[676, 672])).
% 1.82/1.99 tff(678,plain,
% 1.82/1.99 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s0))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(679,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s0))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(680,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s0)),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[679, 678])).
% 1.82/1.99 tff(681,plain,
% 1.82/1.99 (p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s0)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[680, 217, 677])).
% 1.82/1.99 tff(682,plain,
% 1.82/1.99 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s1))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(683,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s1))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(684,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s1)),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[683, 682])).
% 1.82/1.99 tff(685,plain,
% 1.82/1.99 (p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s1)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[684, 203, 681])).
% 1.82/1.99 tff(686,plain,
% 1.82/1.99 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s0))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(687,plain,
% 1.82/1.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s0))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(688,plain,
% 1.82/1.99 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s0)),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[687, 686])).
% 1.82/1.99 tff(689,plain,
% 1.82/1.99 (p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s0)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[688, 255, 685])).
% 1.82/1.99 tff(690,plain,
% 1.82/1.99 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s1))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(691,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s1))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(692,plain,
% 1.82/1.99 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s1)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[691, 690])).
% 1.82/2.00 tff(693,plain,
% 1.82/2.00 (p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s1)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[692, 203, 689])).
% 1.82/2.00 tff(694,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s0))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(695,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s0))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(696,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s0)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[695, 694])).
% 1.82/2.00 tff(697,plain,
% 1.82/2.00 (p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s0)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[696, 217, 693])).
% 1.82/2.00 tff(698,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s1))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(699,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s1))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(700,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s1)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[699, 698])).
% 1.82/2.00 tff(701,plain,
% 1.82/2.00 (p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s1)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[700, 203, 697])).
% 1.82/2.00 tff(702,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s0))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(703,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s0))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(704,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s0)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[703, 702])).
% 1.82/2.00 tff(705,plain,
% 1.82/2.00 (p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s0)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[704, 232, 701])).
% 1.82/2.00 tff(706,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s1))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(707,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s1))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(708,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s1)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[707, 706])).
% 1.82/2.00 tff(709,plain,
% 1.82/2.00 (p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s1)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[708, 203, 705])).
% 1.82/2.00 tff(710,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s0))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(711,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s0))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(712,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s0)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[711, 710])).
% 1.82/2.00 tff(713,plain,
% 1.82/2.00 (p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s0)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[712, 217, 709])).
% 1.82/2.00 tff(714,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s1))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(715,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s1))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(716,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s1)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[715, 714])).
% 1.82/2.00 tff(717,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[716, 203, 713, 176])).
% 1.82/2.00 tff(718,plain,(p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(719,plain,
% 1.82/2.00 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s0))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(720,plain,
% 1.82/2.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s0))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(721,plain,
% 1.82/2.00 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s0)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[720, 719])).
% 1.82/2.00 tff(722,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[721, 297, 718, 175])).
% 1.82/2.00 tff(723,plain,(p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(724,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s1))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(725,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s1))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(726,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s1)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[725, 724])).
% 1.82/2.00 tff(727,plain,
% 1.82/2.00 (p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s1)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[726, 203, 723])).
% 1.82/2.00 tff(728,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s0))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(729,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s0))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(730,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s0)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[729, 728])).
% 1.82/2.00 tff(731,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[730, 217, 727, 174])).
% 1.82/2.00 tff(732,plain,(p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(733,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s1))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(734,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s1))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(735,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s1)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[734, 733])).
% 1.82/2.00 tff(736,plain,
% 1.82/2.00 (p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s1)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[735, 203, 732])).
% 1.82/2.00 tff(737,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s0))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(738,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s0))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(739,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s0)),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[738, 737])).
% 1.82/2.00 tff(740,plain,
% 1.82/2.00 (p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s0)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[739, 232, 736])).
% 1.82/2.00 tff(741,plain,
% 1.82/2.00 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s1))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(742,plain,
% 1.82/2.00 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s1))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(743,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s1)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[742, 741])).
% 1.82/2.01 tff(744,plain,
% 1.82/2.01 (p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s1)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[743, 203, 740])).
% 1.82/2.01 tff(745,plain,
% 1.82/2.01 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s0))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(746,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s0))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(747,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s0)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[746, 745])).
% 1.82/2.01 tff(748,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[747, 217, 744, 173])).
% 1.82/2.01 tff(749,plain,(p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(750,plain,
% 1.82/2.01 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s1))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(751,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s1))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(752,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s1)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[751, 750])).
% 1.82/2.01 tff(753,plain,
% 1.82/2.01 (p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s1)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[752, 203, 749])).
% 1.82/2.01 tff(754,plain,
% 1.82/2.01 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s0))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(755,plain,
% 1.82/2.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s0))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(756,plain,
% 1.82/2.01 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s0)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[755, 754])).
% 1.82/2.01 tff(757,plain,
% 1.82/2.01 (p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s0)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[756, 255, 753])).
% 1.82/2.01 tff(758,plain,
% 1.82/2.01 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s1))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(759,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s1))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(760,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s1)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[759, 758])).
% 1.82/2.01 tff(761,plain,
% 1.82/2.01 ((~p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s1)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[760, 203])).
% 1.82/2.01 tff(762,plain,
% 1.82/2.01 (p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s1)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[761, 757])).
% 1.82/2.01 tff(763,plain,
% 1.82/2.01 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s0))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(764,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s0))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(765,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s0)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[764, 763])).
% 1.82/2.01 tff(766,plain,
% 1.82/2.01 (p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s0)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[765, 217, 762])).
% 1.82/2.01 tff(767,plain,
% 1.82/2.01 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s1))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(768,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s1))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(769,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s1)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[768, 767])).
% 1.82/2.01 tff(770,plain,
% 1.82/2.01 (p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s1)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[769, 203, 766])).
% 1.82/2.01 tff(771,plain,
% 1.82/2.01 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s0))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(772,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s0))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(773,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s0)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[772, 771])).
% 1.82/2.01 tff(774,plain,
% 1.82/2.01 (p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s0)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[773, 232, 770])).
% 1.82/2.01 tff(775,plain,
% 1.82/2.01 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s1))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(776,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s1))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(777,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s1)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[776, 775])).
% 1.82/2.01 tff(778,plain,
% 1.82/2.01 (p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s1)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[777, 203, 774])).
% 1.82/2.01 tff(779,plain,
% 1.82/2.01 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s0))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(780,plain,
% 1.82/2.01 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s0))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(781,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s0)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[780, 779])).
% 1.82/2.02 tff(782,plain,
% 1.82/2.02 (p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s0)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[781, 217, 778])).
% 1.82/2.02 tff(783,plain,
% 1.82/2.02 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s1))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(784,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s1))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(785,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s1)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[784, 783])).
% 1.82/2.02 tff(786,plain,
% 1.82/2.02 (p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s1)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[785, 203, 782])).
% 1.82/2.02 tff(787,plain,
% 1.82/2.02 (^[X0: $i, X1: $i] : refl(((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0)) <=> ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0)))),
% 1.82/2.02 inference(bind,[status(th)],[])).
% 1.82/2.02 tff(788,plain,
% 1.82/2.02 (![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0)) <=> ![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))),
% 1.82/2.02 inference(quant_intro,[status(thm)],[787])).
% 1.82/2.02 tff(789,plain,
% 1.82/2.02 (![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0)) <=> ![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(790,axiom,(![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule8')).
% 1.82/2.02 tff(791,plain,
% 1.82/2.02 (![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[790, 789])).
% 1.82/2.02 tff(792,plain,(
% 1.82/2.02 ![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))),
% 1.82/2.02 inference(skolemize,[status(sab)],[791])).
% 1.82/2.02 tff(793,plain,
% 1.82/2.02 (![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[792, 788])).
% 1.82/2.02 tff(794,plain,
% 1.82/2.02 (((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | (~p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s0))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(795,plain,
% 1.82/2.02 ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s0))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(796,plain,
% 1.82/2.02 ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | (~p(s0, s0, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s0)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[795, 794])).
% 1.82/2.02 tff(797,plain,
% 1.82/2.02 (p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s0)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[796, 793, 786])).
% 1.82/2.02 tff(798,plain,
% 1.82/2.02 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s1))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(799,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s1))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(800,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s1)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[799, 798])).
% 1.82/2.02 tff(801,plain,
% 1.82/2.02 (p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s1)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[800, 203, 797])).
% 1.82/2.02 tff(802,plain,
% 1.82/2.02 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s0))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(803,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s0))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(804,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s0)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[803, 802])).
% 1.82/2.02 tff(805,plain,
% 1.82/2.02 (p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s0)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[804, 217, 801])).
% 1.82/2.02 tff(806,plain,
% 1.82/2.02 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s1))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(807,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s1))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(808,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s1)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[807, 806])).
% 1.82/2.02 tff(809,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[808, 203, 805, 172])).
% 1.82/2.02 tff(810,plain,(p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(811,plain,
% 1.82/2.02 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s0))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(812,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s0))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(813,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s0)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[812, 811])).
% 1.82/2.02 tff(814,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[813, 232, 810, 171])).
% 1.82/2.02 tff(815,plain,(p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(816,plain,
% 1.82/2.02 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s1))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(817,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s1))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(818,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s1)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[817, 816])).
% 1.82/2.02 tff(819,plain,
% 1.82/2.02 (p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s1)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[818, 203, 815])).
% 1.82/2.02 tff(820,plain,
% 1.82/2.02 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s0))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(821,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s0))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(822,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s0)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[821, 820])).
% 1.82/2.02 tff(823,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[822, 217, 819, 170])).
% 1.82/2.02 tff(824,plain,(p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(825,plain,
% 1.82/2.02 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s1))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(826,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s1))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(827,plain,
% 1.82/2.02 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s1)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[826, 825])).
% 1.82/2.02 tff(828,plain,
% 1.82/2.02 (p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s1)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[827, 203, 824])).
% 1.82/2.02 tff(829,plain,
% 1.82/2.02 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s0))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(830,plain,
% 1.82/2.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s0))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(831,plain,
% 1.82/2.02 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s0)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[830, 829])).
% 1.82/2.02 tff(832,plain,
% 1.82/2.02 (p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s0)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[831, 255, 828])).
% 1.82/2.02 tff(833,plain,
% 1.82/2.02 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s1))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(834,plain,
% 1.82/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s1))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(835,plain,
% 1.82/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s1)),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[834, 833])).
% 1.82/2.03 tff(836,plain,
% 1.82/2.03 (p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s1)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[835, 203, 832])).
% 1.82/2.03 tff(837,plain,
% 1.82/2.03 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s0))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(838,plain,
% 1.82/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s0))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(839,plain,
% 1.82/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s0)),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[838, 837])).
% 1.82/2.03 tff(840,plain,
% 1.82/2.03 ($false),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[839, 217, 836, 169])).
% 1.82/2.03 tff(841,plain,(p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.03 tff(842,plain,
% 1.82/2.03 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s1))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(843,plain,
% 1.82/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s1))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(844,plain,
% 1.82/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s1)),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[843, 842])).
% 1.82/2.03 tff(845,plain,
% 1.82/2.03 (p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s1)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[844, 203, 841])).
% 1.82/2.03 tff(846,plain,
% 1.82/2.03 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s0))),
% 1.88/2.03 inference(rewrite,[status(thm)],[])).
% 1.88/2.03 tff(847,plain,
% 1.88/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s0))),
% 1.88/2.03 inference(quant_inst,[status(thm)],[])).
% 1.88/2.03 tff(848,plain,
% 1.88/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s0)),
% 1.88/2.03 inference(modus_ponens,[status(thm)],[847, 846])).
% 1.88/2.03 tff(849,plain,
% 1.88/2.03 (p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s0)),
% 1.88/2.03 inference(unit_resolution,[status(thm)],[848, 232, 845])).
% 1.88/2.03 tff(850,plain,
% 1.88/2.03 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s1))),
% 1.88/2.03 inference(rewrite,[status(thm)],[])).
% 1.88/2.03 tff(851,plain,
% 1.88/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s1))),
% 1.88/2.03 inference(quant_inst,[status(thm)],[])).
% 1.88/2.03 tff(852,plain,
% 1.88/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s1)),
% 1.88/2.03 inference(modus_ponens,[status(thm)],[851, 850])).
% 1.88/2.03 tff(853,plain,
% 1.88/2.03 ((~p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s1)),
% 1.88/2.03 inference(unit_resolution,[status(thm)],[852, 203])).
% 1.88/2.03 tff(854,plain,
% 1.88/2.03 (p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s1)),
% 1.88/2.03 inference(unit_resolution,[status(thm)],[853, 849])).
% 1.88/2.03 tff(855,plain,
% 1.88/2.03 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s0))),
% 1.88/2.03 inference(rewrite,[status(thm)],[])).
% 1.88/2.03 tff(856,plain,
% 1.88/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s0))),
% 1.88/2.03 inference(quant_inst,[status(thm)],[])).
% 1.88/2.03 tff(857,plain,
% 1.88/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s0)),
% 1.88/2.03 inference(modus_ponens,[status(thm)],[856, 855])).
% 1.88/2.03 tff(858,plain,
% 1.88/2.03 (p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s0)),
% 1.88/2.03 inference(unit_resolution,[status(thm)],[857, 217, 854])).
% 1.88/2.03 tff(859,plain,
% 1.88/2.03 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s1))),
% 1.88/2.03 inference(rewrite,[status(thm)],[])).
% 1.88/2.03 tff(860,plain,
% 1.88/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s1))),
% 1.88/2.03 inference(quant_inst,[status(thm)],[])).
% 1.88/2.03 tff(861,plain,
% 1.88/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s1)),
% 1.88/2.03 inference(modus_ponens,[status(thm)],[860, 859])).
% 1.88/2.03 tff(862,plain,
% 1.88/2.03 (p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s1)),
% 1.88/2.03 inference(unit_resolution,[status(thm)],[861, 203, 858])).
% 1.88/2.03 tff(863,plain,
% 1.88/2.03 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s0))),
% 1.88/2.03 inference(rewrite,[status(thm)],[])).
% 1.88/2.03 tff(864,plain,
% 1.88/2.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s0))),
% 1.88/2.03 inference(quant_inst,[status(thm)],[])).
% 1.88/2.03 tff(865,plain,
% 1.88/2.03 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s0)),
% 1.88/2.03 inference(modus_ponens,[status(thm)],[864, 863])).
% 1.88/2.03 tff(866,plain,
% 1.88/2.03 (p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s0)),
% 1.88/2.03 inference(unit_resolution,[status(thm)],[865, 297, 862])).
% 1.88/2.03 tff(867,plain,
% 1.88/2.03 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s1))),
% 1.88/2.03 inference(rewrite,[status(thm)],[])).
% 1.88/2.03 tff(868,plain,
% 1.88/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s1))),
% 1.88/2.03 inference(quant_inst,[status(thm)],[])).
% 1.88/2.03 tff(869,plain,
% 1.88/2.03 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s1)),
% 1.88/2.03 inference(modus_ponens,[status(thm)],[868, 867])).
% 1.88/2.03 tff(870,plain,
% 1.88/2.03 (p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s1)),
% 1.88/2.03 inference(unit_resolution,[status(thm)],[869, 203, 866])).
% 1.88/2.03 tff(871,plain,
% 1.88/2.03 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s0))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(872,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s0))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(873,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s0)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[872, 871])).
% 1.88/2.04 tff(874,plain,
% 1.88/2.04 (p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s0)),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[873, 217, 870])).
% 1.88/2.04 tff(875,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s1))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(876,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s1))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(877,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s1)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[876, 875])).
% 1.88/2.04 tff(878,plain,
% 1.88/2.04 (p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s1)),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[877, 203, 874])).
% 1.88/2.04 tff(879,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s0))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(880,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s0))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(881,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s0)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[880, 879])).
% 1.88/2.04 tff(882,plain,
% 1.88/2.04 (p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s0)),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[881, 232, 878])).
% 1.88/2.04 tff(883,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s1))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(884,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s1))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(885,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s1)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[884, 883])).
% 1.88/2.04 tff(886,plain,
% 1.88/2.04 (p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s1)),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[885, 203, 882])).
% 1.88/2.04 tff(887,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s0))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(888,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s0))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(889,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s0)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[888, 887])).
% 1.88/2.04 tff(890,plain,
% 1.88/2.04 (p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s0)),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[889, 217, 886])).
% 1.88/2.04 tff(891,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s1))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(892,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s1))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(893,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s1)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[892, 891])).
% 1.88/2.04 tff(894,plain,
% 1.88/2.04 ($false),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[893, 203, 890, 168])).
% 1.88/2.04 tff(895,plain,(p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.88/2.04 tff(896,plain,
% 1.88/2.04 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s0))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(897,plain,
% 1.88/2.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s0))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(898,plain,
% 1.88/2.04 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s0)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[897, 896])).
% 1.88/2.04 tff(899,plain,
% 1.88/2.04 ($false),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[898, 255, 895, 167])).
% 1.88/2.04 tff(900,plain,(p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.88/2.04 tff(901,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s1))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(902,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s1))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(903,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s1)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[902, 901])).
% 1.88/2.04 tff(904,plain,
% 1.88/2.04 (p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s1)),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[903, 203, 900])).
% 1.88/2.04 tff(905,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s0))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(906,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s0))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(907,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s0)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[906, 905])).
% 1.88/2.04 tff(908,plain,
% 1.88/2.04 ($false),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[907, 217, 904, 166])).
% 1.88/2.04 tff(909,plain,(p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.88/2.04 tff(910,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s1))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(911,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s1))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(912,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s1)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[911, 910])).
% 1.88/2.04 tff(913,plain,
% 1.88/2.04 (p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s1)),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[912, 203, 909])).
% 1.88/2.04 tff(914,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s0))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(915,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s0))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(916,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s0)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[915, 914])).
% 1.88/2.04 tff(917,plain,
% 1.88/2.04 (p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s0)),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[916, 232, 913])).
% 1.88/2.04 tff(918,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s1))),
% 1.88/2.04 inference(rewrite,[status(thm)],[])).
% 1.88/2.04 tff(919,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s1))),
% 1.88/2.04 inference(quant_inst,[status(thm)],[])).
% 1.88/2.04 tff(920,plain,
% 1.88/2.04 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s1)),
% 1.88/2.04 inference(modus_ponens,[status(thm)],[919, 918])).
% 1.88/2.04 tff(921,plain,
% 1.88/2.04 (p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s1)),
% 1.88/2.04 inference(unit_resolution,[status(thm)],[920, 203, 917])).
% 1.88/2.04 tff(922,plain,
% 1.88/2.04 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s0))),
% 1.89/2.05 inference(rewrite,[status(thm)],[])).
% 1.89/2.05 tff(923,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s0))),
% 1.89/2.05 inference(quant_inst,[status(thm)],[])).
% 1.89/2.05 tff(924,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s0)),
% 1.89/2.05 inference(modus_ponens,[status(thm)],[923, 922])).
% 1.89/2.05 tff(925,plain,
% 1.89/2.05 ($false),
% 1.89/2.05 inference(unit_resolution,[status(thm)],[924, 217, 921, 165])).
% 1.89/2.05 tff(926,plain,(p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.05 tff(927,plain,
% 1.89/2.05 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s1))),
% 1.89/2.05 inference(rewrite,[status(thm)],[])).
% 1.89/2.05 tff(928,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s1))),
% 1.89/2.05 inference(quant_inst,[status(thm)],[])).
% 1.89/2.05 tff(929,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s1)),
% 1.89/2.05 inference(modus_ponens,[status(thm)],[928, 927])).
% 1.89/2.05 tff(930,plain,
% 1.89/2.05 (p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s1)),
% 1.89/2.05 inference(unit_resolution,[status(thm)],[929, 203, 926])).
% 1.89/2.05 tff(931,plain,
% 1.89/2.05 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s0))),
% 1.89/2.05 inference(rewrite,[status(thm)],[])).
% 1.89/2.05 tff(932,plain,
% 1.89/2.05 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s0))),
% 1.89/2.05 inference(quant_inst,[status(thm)],[])).
% 1.89/2.05 tff(933,plain,
% 1.89/2.05 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s0, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s0)),
% 1.89/2.05 inference(modus_ponens,[status(thm)],[932, 931])).
% 1.89/2.05 tff(934,plain,
% 1.89/2.05 (p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s0)),
% 1.89/2.05 inference(unit_resolution,[status(thm)],[933, 371, 930])).
% 1.89/2.05 tff(935,plain,
% 1.89/2.05 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s1))),
% 1.89/2.05 inference(rewrite,[status(thm)],[])).
% 1.89/2.05 tff(936,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s1))),
% 1.89/2.05 inference(quant_inst,[status(thm)],[])).
% 1.89/2.05 tff(937,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s1)),
% 1.89/2.05 inference(modus_ponens,[status(thm)],[936, 935])).
% 1.89/2.05 tff(938,plain,
% 1.89/2.05 ((~p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s1)),
% 1.89/2.05 inference(unit_resolution,[status(thm)],[937, 203])).
% 1.89/2.05 tff(939,plain,
% 1.89/2.05 (p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s1)),
% 1.89/2.05 inference(unit_resolution,[status(thm)],[938, 934])).
% 1.89/2.05 tff(940,plain,
% 1.89/2.05 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s0))),
% 1.89/2.05 inference(rewrite,[status(thm)],[])).
% 1.89/2.05 tff(941,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s0))),
% 1.89/2.05 inference(quant_inst,[status(thm)],[])).
% 1.89/2.05 tff(942,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s0)),
% 1.89/2.05 inference(modus_ponens,[status(thm)],[941, 940])).
% 1.89/2.05 tff(943,plain,
% 1.89/2.05 (p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s0)),
% 1.89/2.05 inference(unit_resolution,[status(thm)],[942, 217, 939])).
% 1.89/2.05 tff(944,plain,
% 1.89/2.05 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s1))),
% 1.89/2.05 inference(rewrite,[status(thm)],[])).
% 1.89/2.05 tff(945,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s1))),
% 1.89/2.05 inference(quant_inst,[status(thm)],[])).
% 1.89/2.05 tff(946,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s1)),
% 1.89/2.05 inference(modus_ponens,[status(thm)],[945, 944])).
% 1.89/2.05 tff(947,plain,
% 1.89/2.05 (p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s1)),
% 1.89/2.05 inference(unit_resolution,[status(thm)],[946, 203, 943])).
% 1.89/2.05 tff(948,plain,
% 1.89/2.05 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s0))),
% 1.89/2.05 inference(rewrite,[status(thm)],[])).
% 1.89/2.05 tff(949,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s0))),
% 1.89/2.05 inference(quant_inst,[status(thm)],[])).
% 1.89/2.05 tff(950,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s0)),
% 1.89/2.05 inference(modus_ponens,[status(thm)],[949, 948])).
% 1.89/2.05 tff(951,plain,
% 1.89/2.05 (p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s0)),
% 1.89/2.05 inference(unit_resolution,[status(thm)],[950, 232, 947])).
% 1.89/2.05 tff(952,plain,
% 1.89/2.05 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s1))),
% 1.89/2.05 inference(rewrite,[status(thm)],[])).
% 1.89/2.05 tff(953,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s1))),
% 1.89/2.05 inference(quant_inst,[status(thm)],[])).
% 1.89/2.05 tff(954,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s1)),
% 1.89/2.05 inference(modus_ponens,[status(thm)],[953, 952])).
% 1.89/2.05 tff(955,plain,
% 1.89/2.05 (p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s1)),
% 1.89/2.05 inference(unit_resolution,[status(thm)],[954, 203, 951])).
% 1.89/2.05 tff(956,plain,
% 1.89/2.05 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s0))),
% 1.89/2.05 inference(rewrite,[status(thm)],[])).
% 1.89/2.05 tff(957,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s0))),
% 1.89/2.05 inference(quant_inst,[status(thm)],[])).
% 1.89/2.05 tff(958,plain,
% 1.89/2.05 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s0)),
% 1.89/2.05 inference(modus_ponens,[status(thm)],[957, 956])).
% 1.89/2.05 tff(959,plain,
% 1.89/2.06 (p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s0)),
% 1.89/2.06 inference(unit_resolution,[status(thm)],[958, 217, 955])).
% 1.89/2.06 tff(960,plain,
% 1.89/2.06 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s1))),
% 1.89/2.06 inference(rewrite,[status(thm)],[])).
% 1.89/2.06 tff(961,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s1))),
% 1.89/2.06 inference(quant_inst,[status(thm)],[])).
% 1.89/2.06 tff(962,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s1)),
% 1.89/2.06 inference(modus_ponens,[status(thm)],[961, 960])).
% 1.89/2.06 tff(963,plain,
% 1.89/2.06 (p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s1)),
% 1.89/2.06 inference(unit_resolution,[status(thm)],[962, 203, 959])).
% 1.89/2.06 tff(964,plain,
% 1.89/2.06 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s0))),
% 1.89/2.06 inference(rewrite,[status(thm)],[])).
% 1.89/2.06 tff(965,plain,
% 1.89/2.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s0))),
% 1.89/2.06 inference(quant_inst,[status(thm)],[])).
% 1.89/2.06 tff(966,plain,
% 1.89/2.06 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s0)),
% 1.89/2.06 inference(modus_ponens,[status(thm)],[965, 964])).
% 1.89/2.06 tff(967,plain,
% 1.89/2.06 (p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s0)),
% 1.89/2.06 inference(unit_resolution,[status(thm)],[966, 255, 963])).
% 1.89/2.06 tff(968,plain,
% 1.89/2.06 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s1))),
% 1.89/2.06 inference(rewrite,[status(thm)],[])).
% 1.89/2.06 tff(969,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s1))),
% 1.89/2.06 inference(quant_inst,[status(thm)],[])).
% 1.89/2.06 tff(970,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s1)),
% 1.89/2.06 inference(modus_ponens,[status(thm)],[969, 968])).
% 1.89/2.06 tff(971,plain,
% 1.89/2.06 (p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s1)),
% 1.89/2.06 inference(unit_resolution,[status(thm)],[970, 203, 967])).
% 1.89/2.06 tff(972,plain,
% 1.89/2.06 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s0))),
% 1.89/2.06 inference(rewrite,[status(thm)],[])).
% 1.89/2.06 tff(973,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s0))),
% 1.89/2.06 inference(quant_inst,[status(thm)],[])).
% 1.89/2.06 tff(974,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s0)),
% 1.89/2.06 inference(modus_ponens,[status(thm)],[973, 972])).
% 1.89/2.06 tff(975,plain,
% 1.89/2.06 (p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s0)),
% 1.89/2.06 inference(unit_resolution,[status(thm)],[974, 217, 971])).
% 1.89/2.06 tff(976,plain,
% 1.89/2.06 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s1))),
% 1.89/2.06 inference(rewrite,[status(thm)],[])).
% 1.89/2.06 tff(977,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s1))),
% 1.89/2.06 inference(quant_inst,[status(thm)],[])).
% 1.89/2.06 tff(978,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s1)),
% 1.89/2.06 inference(modus_ponens,[status(thm)],[977, 976])).
% 1.89/2.06 tff(979,plain,
% 1.89/2.06 ($false),
% 1.89/2.06 inference(unit_resolution,[status(thm)],[978, 203, 975, 164])).
% 1.89/2.06 tff(980,plain,(p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.06 tff(981,plain,
% 1.89/2.06 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s0))),
% 1.89/2.06 inference(rewrite,[status(thm)],[])).
% 1.89/2.06 tff(982,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s0))),
% 1.89/2.06 inference(quant_inst,[status(thm)],[])).
% 1.89/2.06 tff(983,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s0)),
% 1.89/2.06 inference(modus_ponens,[status(thm)],[982, 981])).
% 1.89/2.06 tff(984,plain,
% 1.89/2.06 ($false),
% 1.89/2.06 inference(unit_resolution,[status(thm)],[983, 232, 980, 163])).
% 1.89/2.06 tff(985,plain,(p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.06 tff(986,plain,
% 1.89/2.06 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s1))),
% 1.89/2.06 inference(rewrite,[status(thm)],[])).
% 1.89/2.06 tff(987,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s1))),
% 1.89/2.06 inference(quant_inst,[status(thm)],[])).
% 1.89/2.06 tff(988,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s1)),
% 1.89/2.06 inference(modus_ponens,[status(thm)],[987, 986])).
% 1.89/2.06 tff(989,plain,
% 1.89/2.06 (p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s1)),
% 1.89/2.06 inference(unit_resolution,[status(thm)],[988, 203, 985])).
% 1.89/2.06 tff(990,plain,
% 1.89/2.06 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s0))),
% 1.89/2.06 inference(rewrite,[status(thm)],[])).
% 1.89/2.06 tff(991,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s0))),
% 1.89/2.06 inference(quant_inst,[status(thm)],[])).
% 1.89/2.06 tff(992,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s0)),
% 1.89/2.06 inference(modus_ponens,[status(thm)],[991, 990])).
% 1.89/2.06 tff(993,plain,
% 1.89/2.06 ($false),
% 1.89/2.06 inference(unit_resolution,[status(thm)],[992, 217, 989, 162])).
% 1.89/2.06 tff(994,plain,(p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.06 tff(995,plain,
% 1.89/2.06 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s1))),
% 1.89/2.06 inference(rewrite,[status(thm)],[])).
% 1.89/2.06 tff(996,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s1))),
% 1.89/2.06 inference(quant_inst,[status(thm)],[])).
% 1.89/2.06 tff(997,plain,
% 1.89/2.06 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s1)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[996, 995])).
% 1.89/2.07 tff(998,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s1)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[997, 203, 994])).
% 1.89/2.07 tff(999,plain,
% 1.89/2.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s0))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1000,plain,
% 1.89/2.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s0))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1001,plain,
% 1.89/2.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s0)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1000, 999])).
% 1.89/2.07 tff(1002,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s0)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1001, 297, 998])).
% 1.89/2.07 tff(1003,plain,
% 1.89/2.07 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s1))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1004,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s1))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1005,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s1)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1004, 1003])).
% 1.89/2.07 tff(1006,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s1)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1005, 203, 1002])).
% 1.89/2.07 tff(1007,plain,
% 1.89/2.07 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s0))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1008,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s0))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1009,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s0)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1008, 1007])).
% 1.89/2.07 tff(1010,plain,
% 1.89/2.07 ($false),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1009, 217, 1006, 161])).
% 1.89/2.07 tff(1011,plain,(p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.07 tff(1012,plain,
% 1.89/2.07 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s1))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1013,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s1))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1014,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s1)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 1.89/2.07 tff(1015,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s1)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1014, 203, 1011])).
% 1.89/2.07 tff(1016,plain,
% 1.89/2.07 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s0))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1017,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s0))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1018,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s0)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1017, 1016])).
% 1.89/2.07 tff(1019,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s0)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1018, 232, 1015])).
% 1.89/2.07 tff(1020,plain,
% 1.89/2.07 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s1))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1021,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s1))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1022,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s1)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 1.89/2.07 tff(1023,plain,
% 1.89/2.07 ((~p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s1)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1022, 203])).
% 1.89/2.07 tff(1024,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s1)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1023, 1019])).
% 1.89/2.07 tff(1025,plain,
% 1.89/2.07 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s0))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1026,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s0))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1027,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s0)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1026, 1025])).
% 1.89/2.07 tff(1028,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s0)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1027, 217, 1024])).
% 1.89/2.07 tff(1029,plain,
% 1.89/2.07 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s1))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1030,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s1))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1031,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s1)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 1.89/2.07 tff(1032,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s1)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1031, 203, 1028])).
% 1.89/2.07 tff(1033,plain,
% 1.89/2.07 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s0))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1034,plain,
% 1.89/2.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s0))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1035,plain,
% 1.89/2.07 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s0)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 1.89/2.07 tff(1036,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s0)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1035, 255, 1032])).
% 1.89/2.07 tff(1037,plain,
% 1.89/2.07 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s1))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1038,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s1))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1039,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s1)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 1.89/2.07 tff(1040,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s1)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1039, 203, 1036])).
% 1.89/2.07 tff(1041,plain,
% 1.89/2.07 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s0))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1042,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s0))),
% 1.89/2.07 inference(quant_inst,[status(thm)],[])).
% 1.89/2.07 tff(1043,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s0)),
% 1.89/2.07 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 1.89/2.07 tff(1044,plain,
% 1.89/2.07 (p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s0)),
% 1.89/2.07 inference(unit_resolution,[status(thm)],[1043, 217, 1040])).
% 1.89/2.07 tff(1045,plain,
% 1.89/2.07 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s1))),
% 1.89/2.07 inference(rewrite,[status(thm)],[])).
% 1.89/2.07 tff(1046,plain,
% 1.89/2.07 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s1))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1047,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s1)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1046, 1045])).
% 1.89/2.08 tff(1048,plain,
% 1.89/2.08 (p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s1)),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1047, 203, 1044])).
% 1.89/2.08 tff(1049,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s0))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1050,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s0))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1051,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s0)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1050, 1049])).
% 1.89/2.08 tff(1052,plain,
% 1.89/2.08 (p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s0)),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1051, 232, 1048])).
% 1.89/2.08 tff(1053,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s1))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1054,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s1))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1055,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s1)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1054, 1053])).
% 1.89/2.08 tff(1056,plain,
% 1.89/2.08 (p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s1)),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1055, 203, 1052])).
% 1.89/2.08 tff(1057,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s0))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1058,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s0))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1059,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s0)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1058, 1057])).
% 1.89/2.08 tff(1060,plain,
% 1.89/2.08 (p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s0)),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1059, 217, 1056])).
% 1.89/2.08 tff(1061,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s1))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1062,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s1))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1063,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s1)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 1.89/2.08 tff(1064,plain,
% 1.89/2.08 ($false),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1063, 203, 1060, 160])).
% 1.89/2.08 tff(1065,plain,(p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.08 tff(1066,plain,
% 1.89/2.08 (((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s0))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1067,plain,
% 1.89/2.08 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s0))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1068,plain,
% 1.89/2.08 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s0, s0, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s0)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1067, 1066])).
% 1.89/2.08 tff(1069,plain,
% 1.89/2.08 ($false),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1068, 515, 1065, 159])).
% 1.89/2.08 tff(1070,plain,(p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.08 tff(1071,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s1))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1072,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s1))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1073,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s1)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 1.89/2.08 tff(1074,plain,
% 1.89/2.08 (p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s1)),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1073, 203, 1070])).
% 1.89/2.08 tff(1075,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s0))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1076,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s0))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1077,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s0)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1076, 1075])).
% 1.89/2.08 tff(1078,plain,
% 1.89/2.08 ($false),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1077, 217, 1074, 158])).
% 1.89/2.08 tff(1079,plain,(p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.08 tff(1080,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s1))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1081,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s1))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1082,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s1)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 1.89/2.08 tff(1083,plain,
% 1.89/2.08 (p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s1)),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1082, 203, 1079])).
% 1.89/2.08 tff(1084,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s0))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1085,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s0))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1086,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s0)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 1.89/2.08 tff(1087,plain,
% 1.89/2.08 (p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s0)),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1086, 232, 1083])).
% 1.89/2.08 tff(1088,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s1))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1089,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s1))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1090,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s1)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 1.89/2.08 tff(1091,plain,
% 1.89/2.08 (p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s1)),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1090, 203, 1087])).
% 1.89/2.08 tff(1092,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s0))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.08 tff(1093,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s0))),
% 1.89/2.08 inference(quant_inst,[status(thm)],[])).
% 1.89/2.08 tff(1094,plain,
% 1.89/2.08 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s0)),
% 1.89/2.08 inference(modus_ponens,[status(thm)],[1093, 1092])).
% 1.89/2.08 tff(1095,plain,
% 1.89/2.08 ($false),
% 1.89/2.08 inference(unit_resolution,[status(thm)],[1094, 217, 1091, 157])).
% 1.89/2.08 tff(1096,plain,(p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.08 tff(1097,plain,
% 1.89/2.08 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s1))),
% 1.89/2.08 inference(rewrite,[status(thm)],[])).
% 1.89/2.09 tff(1098,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s1))),
% 1.89/2.09 inference(quant_inst,[status(thm)],[])).
% 1.89/2.09 tff(1099,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s1)),
% 1.89/2.09 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 1.89/2.09 tff(1100,plain,
% 1.89/2.09 (p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s1)),
% 1.89/2.09 inference(unit_resolution,[status(thm)],[1099, 203, 1096])).
% 1.89/2.09 tff(1101,plain,
% 1.89/2.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s0))),
% 1.89/2.09 inference(rewrite,[status(thm)],[])).
% 1.89/2.09 tff(1102,plain,
% 1.89/2.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s0))),
% 1.89/2.09 inference(quant_inst,[status(thm)],[])).
% 1.89/2.09 tff(1103,plain,
% 1.89/2.09 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s0)),
% 1.89/2.09 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 1.89/2.09 tff(1104,plain,
% 1.89/2.09 (p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s0)),
% 1.89/2.09 inference(unit_resolution,[status(thm)],[1103, 255, 1100])).
% 1.89/2.09 tff(1105,plain,
% 1.89/2.09 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s1))),
% 1.89/2.09 inference(rewrite,[status(thm)],[])).
% 1.89/2.09 tff(1106,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s1))),
% 1.89/2.09 inference(quant_inst,[status(thm)],[])).
% 1.89/2.09 tff(1107,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s1)),
% 1.89/2.09 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 1.89/2.09 tff(1108,plain,
% 1.89/2.09 ((~p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s1)),
% 1.89/2.09 inference(unit_resolution,[status(thm)],[1107, 203])).
% 1.89/2.09 tff(1109,plain,
% 1.89/2.09 (p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s1)),
% 1.89/2.09 inference(unit_resolution,[status(thm)],[1108, 1104])).
% 1.89/2.09 tff(1110,plain,
% 1.89/2.09 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s0))),
% 1.89/2.09 inference(rewrite,[status(thm)],[])).
% 1.89/2.09 tff(1111,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s0))),
% 1.89/2.09 inference(quant_inst,[status(thm)],[])).
% 1.89/2.09 tff(1112,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s0)),
% 1.89/2.09 inference(modus_ponens,[status(thm)],[1111, 1110])).
% 1.89/2.09 tff(1113,plain,
% 1.89/2.09 (p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s0)),
% 1.89/2.09 inference(unit_resolution,[status(thm)],[1112, 217, 1109])).
% 1.89/2.09 tff(1114,plain,
% 1.89/2.09 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s1))),
% 1.89/2.09 inference(rewrite,[status(thm)],[])).
% 1.89/2.09 tff(1115,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s1))),
% 1.89/2.09 inference(quant_inst,[status(thm)],[])).
% 1.89/2.09 tff(1116,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s1)),
% 1.89/2.09 inference(modus_ponens,[status(thm)],[1115, 1114])).
% 1.89/2.09 tff(1117,plain,
% 1.89/2.09 (p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s1)),
% 1.89/2.09 inference(unit_resolution,[status(thm)],[1116, 203, 1113])).
% 1.89/2.09 tff(1118,plain,
% 1.89/2.09 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s0))),
% 1.89/2.09 inference(rewrite,[status(thm)],[])).
% 1.89/2.09 tff(1119,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s0))),
% 1.89/2.09 inference(quant_inst,[status(thm)],[])).
% 1.89/2.09 tff(1120,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s0)),
% 1.89/2.09 inference(modus_ponens,[status(thm)],[1119, 1118])).
% 1.89/2.09 tff(1121,plain,
% 1.89/2.09 (p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s0)),
% 1.89/2.09 inference(unit_resolution,[status(thm)],[1120, 232, 1117])).
% 1.89/2.09 tff(1122,plain,
% 1.89/2.09 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s1))),
% 1.89/2.09 inference(rewrite,[status(thm)],[])).
% 1.89/2.09 tff(1123,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s1))),
% 1.89/2.09 inference(quant_inst,[status(thm)],[])).
% 1.89/2.09 tff(1124,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s1)),
% 1.89/2.09 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 1.89/2.09 tff(1125,plain,
% 1.89/2.09 (p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s1)),
% 1.89/2.09 inference(unit_resolution,[status(thm)],[1124, 203, 1121])).
% 1.89/2.09 tff(1126,plain,
% 1.89/2.09 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s0))),
% 1.89/2.09 inference(rewrite,[status(thm)],[])).
% 1.89/2.09 tff(1127,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s0))),
% 1.89/2.09 inference(quant_inst,[status(thm)],[])).
% 1.89/2.09 tff(1128,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s0)),
% 1.89/2.09 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 1.89/2.09 tff(1129,plain,
% 1.89/2.09 (p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s0)),
% 1.89/2.09 inference(unit_resolution,[status(thm)],[1128, 217, 1125])).
% 1.89/2.09 tff(1130,plain,
% 1.89/2.09 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s1))),
% 1.89/2.09 inference(rewrite,[status(thm)],[])).
% 1.89/2.09 tff(1131,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s1))),
% 1.89/2.09 inference(quant_inst,[status(thm)],[])).
% 1.89/2.09 tff(1132,plain,
% 1.89/2.09 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s1)),
% 1.89/2.09 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 1.89/2.09 tff(1133,plain,
% 1.89/2.09 (p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s1)),
% 1.89/2.09 inference(unit_resolution,[status(thm)],[1132, 203, 1129])).
% 1.89/2.09 tff(1134,plain,
% 1.89/2.09 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s0))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1135,plain,
% 1.89/2.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s0))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1136,plain,
% 1.89/2.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s0)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1135, 1134])).
% 1.89/2.10 tff(1137,plain,
% 1.89/2.10 (p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s0)),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1136, 297, 1133])).
% 1.89/2.10 tff(1138,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s1))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1139,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s1))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1140,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s1)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1139, 1138])).
% 1.89/2.10 tff(1141,plain,
% 1.89/2.10 (p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s1)),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1140, 203, 1137])).
% 1.89/2.10 tff(1142,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s0))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1143,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s0))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1144,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s0)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 1.89/2.10 tff(1145,plain,
% 1.89/2.10 (p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s0)),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1144, 217, 1141])).
% 1.89/2.10 tff(1146,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s1))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1147,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s1))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1148,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s1)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1147, 1146])).
% 1.89/2.10 tff(1149,plain,
% 1.89/2.10 ($false),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1148, 203, 1145, 156])).
% 1.89/2.10 tff(1150,plain,(p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.10 tff(1151,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s0))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1152,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s0))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1153,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s0)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1152, 1151])).
% 1.89/2.10 tff(1154,plain,
% 1.89/2.10 ($false),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1153, 232, 1150, 155])).
% 1.89/2.10 tff(1155,plain,(p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.10 tff(1156,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s1))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1157,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s1))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1158,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s1)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 1.89/2.10 tff(1159,plain,
% 1.89/2.10 (p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s1)),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1158, 203, 1155])).
% 1.89/2.10 tff(1160,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s0))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1161,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s0))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1162,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s0)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 1.89/2.10 tff(1163,plain,
% 1.89/2.10 ($false),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1162, 217, 1159, 154])).
% 1.89/2.10 tff(1164,plain,(p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.10 tff(1165,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s1))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1166,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s1))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1167,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s1)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 1.89/2.10 tff(1168,plain,
% 1.89/2.10 (p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s1)),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1167, 203, 1164])).
% 1.89/2.10 tff(1169,plain,
% 1.89/2.10 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s0))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1170,plain,
% 1.89/2.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s0))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1171,plain,
% 1.89/2.10 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s0)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 1.89/2.10 tff(1172,plain,
% 1.89/2.10 (p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s0)),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1171, 255, 1168])).
% 1.89/2.10 tff(1173,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s1))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1174,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s1))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1175,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s1)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 1.89/2.10 tff(1176,plain,
% 1.89/2.10 (p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s1)),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1175, 203, 1172])).
% 1.89/2.10 tff(1177,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s0))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1178,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s0))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1179,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s0)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 1.89/2.10 tff(1180,plain,
% 1.89/2.10 ($false),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1179, 217, 1176, 153])).
% 1.89/2.10 tff(1181,plain,(p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.89/2.10 tff(1182,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s1))),
% 1.89/2.10 inference(rewrite,[status(thm)],[])).
% 1.89/2.10 tff(1183,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s1))),
% 1.89/2.10 inference(quant_inst,[status(thm)],[])).
% 1.89/2.10 tff(1184,plain,
% 1.89/2.10 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s1)),
% 1.89/2.10 inference(modus_ponens,[status(thm)],[1183, 1182])).
% 1.89/2.10 tff(1185,plain,
% 1.89/2.10 (p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s1)),
% 1.89/2.10 inference(unit_resolution,[status(thm)],[1184, 203, 1181])).
% 1.89/2.10 tff(1186,plain,
% 1.89/2.10 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s0))),
% 1.89/2.11 inference(rewrite,[status(thm)],[])).
% 1.89/2.11 tff(1187,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s0))),
% 1.89/2.11 inference(quant_inst,[status(thm)],[])).
% 1.89/2.11 tff(1188,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s0)),
% 1.89/2.11 inference(modus_ponens,[status(thm)],[1187, 1186])).
% 1.89/2.11 tff(1189,plain,
% 1.89/2.11 (p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s0)),
% 1.89/2.11 inference(unit_resolution,[status(thm)],[1188, 232, 1185])).
% 1.89/2.11 tff(1190,plain,
% 1.89/2.11 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s1))),
% 1.89/2.11 inference(rewrite,[status(thm)],[])).
% 1.89/2.11 tff(1191,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s1))),
% 1.89/2.11 inference(quant_inst,[status(thm)],[])).
% 1.89/2.11 tff(1192,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s1)),
% 1.89/2.11 inference(modus_ponens,[status(thm)],[1191, 1190])).
% 1.89/2.11 tff(1193,plain,
% 1.89/2.11 ((~p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s1)),
% 1.89/2.11 inference(unit_resolution,[status(thm)],[1192, 203])).
% 1.89/2.11 tff(1194,plain,
% 1.89/2.11 (p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s1)),
% 1.89/2.11 inference(unit_resolution,[status(thm)],[1193, 1189])).
% 1.89/2.11 tff(1195,plain,
% 1.89/2.11 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s0))),
% 1.89/2.11 inference(rewrite,[status(thm)],[])).
% 1.89/2.11 tff(1196,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s0))),
% 1.89/2.11 inference(quant_inst,[status(thm)],[])).
% 1.89/2.11 tff(1197,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s0)),
% 1.89/2.11 inference(modus_ponens,[status(thm)],[1196, 1195])).
% 1.89/2.11 tff(1198,plain,
% 1.89/2.11 (p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s0)),
% 1.89/2.11 inference(unit_resolution,[status(thm)],[1197, 217, 1194])).
% 1.89/2.11 tff(1199,plain,
% 1.89/2.11 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s1))),
% 1.89/2.11 inference(rewrite,[status(thm)],[])).
% 1.89/2.11 tff(1200,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s1))),
% 1.89/2.11 inference(quant_inst,[status(thm)],[])).
% 1.89/2.11 tff(1201,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s1)),
% 1.89/2.11 inference(modus_ponens,[status(thm)],[1200, 1199])).
% 1.89/2.11 tff(1202,plain,
% 1.89/2.11 (p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s1)),
% 1.89/2.11 inference(unit_resolution,[status(thm)],[1201, 203, 1198])).
% 1.89/2.11 tff(1203,plain,
% 1.89/2.11 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s0))),
% 1.89/2.11 inference(rewrite,[status(thm)],[])).
% 1.89/2.11 tff(1204,plain,
% 1.89/2.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s0))),
% 1.89/2.11 inference(quant_inst,[status(thm)],[])).
% 1.89/2.11 tff(1205,plain,
% 1.89/2.11 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s0, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s0)),
% 1.89/2.11 inference(modus_ponens,[status(thm)],[1204, 1203])).
% 1.89/2.11 tff(1206,plain,
% 1.89/2.11 (p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s0)),
% 1.89/2.11 inference(unit_resolution,[status(thm)],[1205, 371, 1202])).
% 1.89/2.11 tff(1207,plain,
% 1.89/2.11 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s1))),
% 1.89/2.11 inference(rewrite,[status(thm)],[])).
% 1.89/2.11 tff(1208,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s1))),
% 1.89/2.11 inference(quant_inst,[status(thm)],[])).
% 1.89/2.11 tff(1209,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s1)),
% 1.89/2.11 inference(modus_ponens,[status(thm)],[1208, 1207])).
% 1.89/2.11 tff(1210,plain,
% 1.89/2.11 (p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s1)),
% 1.89/2.11 inference(unit_resolution,[status(thm)],[1209, 203, 1206])).
% 1.89/2.11 tff(1211,plain,
% 1.89/2.11 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s0))),
% 1.89/2.11 inference(rewrite,[status(thm)],[])).
% 1.89/2.11 tff(1212,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s0))),
% 1.89/2.11 inference(quant_inst,[status(thm)],[])).
% 1.89/2.11 tff(1213,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s0)),
% 1.89/2.11 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 1.89/2.11 tff(1214,plain,
% 1.89/2.11 (p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s0)),
% 1.89/2.11 inference(unit_resolution,[status(thm)],[1213, 217, 1210])).
% 1.89/2.11 tff(1215,plain,
% 1.89/2.11 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s1))),
% 1.89/2.11 inference(rewrite,[status(thm)],[])).
% 1.89/2.11 tff(1216,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s1))),
% 1.89/2.11 inference(quant_inst,[status(thm)],[])).
% 1.89/2.11 tff(1217,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s1)),
% 1.89/2.11 inference(modus_ponens,[status(thm)],[1216, 1215])).
% 1.89/2.11 tff(1218,plain,
% 1.89/2.11 (p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s1)),
% 1.89/2.11 inference(unit_resolution,[status(thm)],[1217, 203, 1214])).
% 1.89/2.11 tff(1219,plain,
% 1.89/2.11 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s0))),
% 1.89/2.11 inference(rewrite,[status(thm)],[])).
% 1.89/2.11 tff(1220,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s0))),
% 1.89/2.11 inference(quant_inst,[status(thm)],[])).
% 1.89/2.11 tff(1221,plain,
% 1.89/2.11 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s0)),
% 1.89/2.11 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 1.89/2.11 tff(1222,plain,
% 1.89/2.11 (p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s0)),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1221, 232, 1218])).
% 1.96/2.12 tff(1223,plain,
% 1.96/2.12 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s1))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1224,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s1))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1225,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s1)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 1.96/2.12 tff(1226,plain,
% 1.96/2.12 (p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s1)),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1225, 203, 1222])).
% 1.96/2.12 tff(1227,plain,
% 1.96/2.12 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s0))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1228,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s0))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1229,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s0)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1228, 1227])).
% 1.96/2.12 tff(1230,plain,
% 1.96/2.12 (p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s0)),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1229, 217, 1226])).
% 1.96/2.12 tff(1231,plain,
% 1.96/2.12 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s1))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1232,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s1))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1233,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s1)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1232, 1231])).
% 1.96/2.12 tff(1234,plain,
% 1.96/2.12 ($false),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1233, 203, 1230, 152])).
% 1.96/2.12 tff(1235,plain,(p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.12 tff(1236,plain,
% 1.96/2.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s0))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1237,plain,
% 1.96/2.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s0))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1238,plain,
% 1.96/2.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s0)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 1.96/2.12 tff(1239,plain,
% 1.96/2.12 ($false),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1238, 255, 1235, 151])).
% 1.96/2.12 tff(1240,plain,(p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.12 tff(1241,plain,
% 1.96/2.12 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s1))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1242,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s1))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1243,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s1)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 1.96/2.12 tff(1244,plain,
% 1.96/2.12 (p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s1)),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1243, 203, 1240])).
% 1.96/2.12 tff(1245,plain,
% 1.96/2.12 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s0))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1246,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s0))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1247,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s0)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 1.96/2.12 tff(1248,plain,
% 1.96/2.12 ($false),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1247, 217, 1244, 150])).
% 1.96/2.12 tff(1249,plain,(p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.12 tff(1250,plain,
% 1.96/2.12 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s1))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1251,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s1))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1252,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s1)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 1.96/2.12 tff(1253,plain,
% 1.96/2.12 (p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s1)),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1252, 203, 1249])).
% 1.96/2.12 tff(1254,plain,
% 1.96/2.12 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s0))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1255,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s0))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1256,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s0)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 1.96/2.12 tff(1257,plain,
% 1.96/2.12 (p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s0)),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1256, 232, 1253])).
% 1.96/2.12 tff(1258,plain,
% 1.96/2.12 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s1))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1259,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s1))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1260,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s1)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1259, 1258])).
% 1.96/2.12 tff(1261,plain,
% 1.96/2.12 (p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s1)),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1260, 203, 1257])).
% 1.96/2.12 tff(1262,plain,
% 1.96/2.12 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s0))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1263,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s0))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1264,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s0)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1263, 1262])).
% 1.96/2.12 tff(1265,plain,
% 1.96/2.12 ($false),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1264, 217, 1261, 149])).
% 1.96/2.12 tff(1266,plain,(p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.12 tff(1267,plain,
% 1.96/2.12 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s1))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1268,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s1))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1269,plain,
% 1.96/2.12 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s1)),
% 1.96/2.12 inference(modus_ponens,[status(thm)],[1268, 1267])).
% 1.96/2.12 tff(1270,plain,
% 1.96/2.12 (p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s1)),
% 1.96/2.12 inference(unit_resolution,[status(thm)],[1269, 203, 1266])).
% 1.96/2.12 tff(1271,plain,
% 1.96/2.12 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s0))),
% 1.96/2.12 inference(rewrite,[status(thm)],[])).
% 1.96/2.12 tff(1272,plain,
% 1.96/2.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s0))),
% 1.96/2.12 inference(quant_inst,[status(thm)],[])).
% 1.96/2.12 tff(1273,plain,
% 1.96/2.12 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s0, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s0)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 1.96/2.13 tff(1274,plain,
% 1.96/2.13 (p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s0)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[1273, 297, 1270])).
% 1.96/2.13 tff(1275,plain,
% 1.96/2.13 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s1))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(1276,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s1))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(1277,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s1)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 1.96/2.13 tff(1278,plain,
% 1.96/2.13 ((~p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s1)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[1277, 203])).
% 1.96/2.13 tff(1279,plain,
% 1.96/2.13 (p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s1)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[1278, 1274])).
% 1.96/2.13 tff(1280,plain,
% 1.96/2.13 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s0))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(1281,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s0))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(1282,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s0)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 1.96/2.13 tff(1283,plain,
% 1.96/2.13 (p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s0)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[1282, 217, 1279])).
% 1.96/2.13 tff(1284,plain,
% 1.96/2.13 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s1))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(1285,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s1))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(1286,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s1)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[1285, 1284])).
% 1.96/2.13 tff(1287,plain,
% 1.96/2.13 (p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s1)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[1286, 203, 1283])).
% 1.96/2.13 tff(1288,plain,
% 1.96/2.13 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s0))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(1289,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s0))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(1290,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s0)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 1.96/2.13 tff(1291,plain,
% 1.96/2.13 (p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s0)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[1290, 232, 1287])).
% 1.96/2.13 tff(1292,plain,
% 1.96/2.13 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s1))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(1293,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s1))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(1294,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s1)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[1293, 1292])).
% 1.96/2.13 tff(1295,plain,
% 1.96/2.13 (p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s1)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[1294, 203, 1291])).
% 1.96/2.13 tff(1296,plain,
% 1.96/2.13 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s0))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(1297,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s0))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(1298,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s0)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 1.96/2.13 tff(1299,plain,
% 1.96/2.13 (p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s0)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[1298, 217, 1295])).
% 1.96/2.13 tff(1300,plain,
% 1.96/2.13 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s1))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(1301,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s1))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(1302,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s1)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[1301, 1300])).
% 1.96/2.13 tff(1303,plain,
% 1.96/2.13 (p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s1)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[1302, 203, 1299])).
% 1.96/2.13 tff(1304,plain,
% 1.96/2.13 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s0))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(1305,plain,
% 1.96/2.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s0))),
% 1.96/2.13 inference(quant_inst,[status(thm)],[])).
% 1.96/2.13 tff(1306,plain,
% 1.96/2.13 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s0, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s0)),
% 1.96/2.13 inference(modus_ponens,[status(thm)],[1305, 1304])).
% 1.96/2.13 tff(1307,plain,
% 1.96/2.13 (p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s0)),
% 1.96/2.13 inference(unit_resolution,[status(thm)],[1306, 255, 1303])).
% 1.96/2.13 tff(1308,plain,
% 1.96/2.13 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s1))),
% 1.96/2.13 inference(rewrite,[status(thm)],[])).
% 1.96/2.13 tff(1309,plain,
% 1.96/2.13 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s1))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1310,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s1)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 1.96/2.14 tff(1311,plain,
% 1.96/2.14 (p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s1)),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1310, 203, 1307])).
% 1.96/2.14 tff(1312,plain,
% 1.96/2.14 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s0))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1313,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s0))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1314,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s0)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1313, 1312])).
% 1.96/2.14 tff(1315,plain,
% 1.96/2.14 (p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s0)),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1314, 217, 1311])).
% 1.96/2.14 tff(1316,plain,
% 1.96/2.14 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s1))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1317,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s1))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1318,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s1)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 1.96/2.14 tff(1319,plain,
% 1.96/2.14 ($false),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1318, 203, 1315, 148])).
% 1.96/2.14 tff(1320,plain,(p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.14 tff(1321,plain,
% 1.96/2.14 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s0))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1322,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s0))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1323,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s0, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s0)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1322, 1321])).
% 1.96/2.14 tff(1324,plain,
% 1.96/2.14 ($false),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1323, 232, 1320, 147])).
% 1.96/2.14 tff(1325,plain,(p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.14 tff(1326,plain,
% 1.96/2.14 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s1))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1327,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s1))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1328,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s1)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 1.96/2.14 tff(1329,plain,
% 1.96/2.14 (p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s1)),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1328, 203, 1325])).
% 1.96/2.14 tff(1330,plain,
% 1.96/2.14 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s0))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1331,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s0))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1332,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s0, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s0)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 1.96/2.14 tff(1333,plain,
% 1.96/2.14 ($false),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1332, 217, 1329, 146])).
% 1.96/2.14 tff(1334,plain,(p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.14 tff(1335,plain,
% 1.96/2.14 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s1))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1336,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s1))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1337,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s1)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 1.96/2.14 tff(1338,plain,
% 1.96/2.14 (p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s1)),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1337, 203, 1334])).
% 1.96/2.14 tff(1339,plain,
% 1.96/2.14 (^[X0: $i] : refl(((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0)) <=> ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0)))),
% 1.96/2.14 inference(bind,[status(th)],[])).
% 1.96/2.14 tff(1340,plain,
% 1.96/2.14 (![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0)) <=> ![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))),
% 1.96/2.14 inference(quant_intro,[status(thm)],[1339])).
% 1.96/2.14 tff(1341,plain,
% 1.96/2.14 (![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0)) <=> ![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1342,axiom,(![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule9')).
% 1.96/2.14 tff(1343,plain,
% 1.96/2.14 (![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1342, 1341])).
% 1.96/2.14 tff(1344,plain,(
% 1.96/2.14 ![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))),
% 1.96/2.14 inference(skolemize,[status(sab)],[1343])).
% 1.96/2.14 tff(1345,plain,
% 1.96/2.14 (![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1344, 1340])).
% 1.96/2.14 tff(1346,plain,
% 1.96/2.14 (((~![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))) | (~p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s0))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1347,plain,
% 1.96/2.14 ((~![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s0))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1348,plain,
% 1.96/2.14 ((~![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))) | (~p(s0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s0)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 1.96/2.14 tff(1349,plain,
% 1.96/2.14 (p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s0)),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1348, 1345, 1338])).
% 1.96/2.14 tff(1350,plain,
% 1.96/2.14 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s1))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1351,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s1))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1352,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s1)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1351, 1350])).
% 1.96/2.14 tff(1353,plain,
% 1.96/2.14 (p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s1)),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1352, 203, 1349])).
% 1.96/2.14 tff(1354,plain,
% 1.96/2.14 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s0))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1355,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s0))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1356,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s0)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1355, 1354])).
% 1.96/2.14 tff(1357,plain,
% 1.96/2.14 ($false),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1356, 217, 1353, 145])).
% 1.96/2.14 tff(1358,plain,(p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.14 tff(1359,plain,
% 1.96/2.14 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s1))),
% 1.96/2.14 inference(rewrite,[status(thm)],[])).
% 1.96/2.14 tff(1360,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s1))),
% 1.96/2.14 inference(quant_inst,[status(thm)],[])).
% 1.96/2.14 tff(1361,plain,
% 1.96/2.14 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s1)),
% 1.96/2.14 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 1.96/2.14 tff(1362,plain,
% 1.96/2.14 (p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s1)),
% 1.96/2.14 inference(unit_resolution,[status(thm)],[1361, 203, 1358])).
% 1.96/2.14 tff(1363,plain,
% 1.96/2.14 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s0))),
% 1.96/2.15 inference(rewrite,[status(thm)],[])).
% 1.96/2.15 tff(1364,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s0))),
% 1.96/2.15 inference(quant_inst,[status(thm)],[])).
% 1.96/2.15 tff(1365,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s0)),
% 1.96/2.15 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 1.96/2.15 tff(1366,plain,
% 1.96/2.15 (p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s0)),
% 1.96/2.15 inference(unit_resolution,[status(thm)],[1365, 232, 1362])).
% 1.96/2.15 tff(1367,plain,
% 1.96/2.15 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s1))),
% 1.96/2.15 inference(rewrite,[status(thm)],[])).
% 1.96/2.15 tff(1368,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s1))),
% 1.96/2.15 inference(quant_inst,[status(thm)],[])).
% 1.96/2.15 tff(1369,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s1)),
% 1.96/2.15 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 1.96/2.15 tff(1370,plain,
% 1.96/2.15 ((~p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s1)),
% 1.96/2.15 inference(unit_resolution,[status(thm)],[1369, 203])).
% 1.96/2.15 tff(1371,plain,
% 1.96/2.15 (p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s1)),
% 1.96/2.15 inference(unit_resolution,[status(thm)],[1370, 1366])).
% 1.96/2.15 tff(1372,plain,
% 1.96/2.15 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s0))),
% 1.96/2.15 inference(rewrite,[status(thm)],[])).
% 1.96/2.15 tff(1373,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s0))),
% 1.96/2.15 inference(quant_inst,[status(thm)],[])).
% 1.96/2.15 tff(1374,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s0)),
% 1.96/2.15 inference(modus_ponens,[status(thm)],[1373, 1372])).
% 1.96/2.15 tff(1375,plain,
% 1.96/2.15 (p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s0)),
% 1.96/2.15 inference(unit_resolution,[status(thm)],[1374, 217, 1371])).
% 1.96/2.15 tff(1376,plain,
% 1.96/2.15 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s1))),
% 1.96/2.15 inference(rewrite,[status(thm)],[])).
% 1.96/2.15 tff(1377,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s1))),
% 1.96/2.15 inference(quant_inst,[status(thm)],[])).
% 1.96/2.15 tff(1378,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s1)),
% 1.96/2.15 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 1.96/2.15 tff(1379,plain,
% 1.96/2.15 (p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s1)),
% 1.96/2.15 inference(unit_resolution,[status(thm)],[1378, 203, 1375])).
% 1.96/2.15 tff(1380,plain,
% 1.96/2.15 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s0))),
% 1.96/2.15 inference(rewrite,[status(thm)],[])).
% 1.96/2.15 tff(1381,plain,
% 1.96/2.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s0))),
% 1.96/2.15 inference(quant_inst,[status(thm)],[])).
% 1.96/2.15 tff(1382,plain,
% 1.96/2.15 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s0)),
% 1.96/2.15 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 1.96/2.15 tff(1383,plain,
% 1.96/2.15 (p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s0)),
% 1.96/2.15 inference(unit_resolution,[status(thm)],[1382, 255, 1379])).
% 1.96/2.15 tff(1384,plain,
% 1.96/2.15 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s1))),
% 1.96/2.15 inference(rewrite,[status(thm)],[])).
% 1.96/2.15 tff(1385,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s1))),
% 1.96/2.15 inference(quant_inst,[status(thm)],[])).
% 1.96/2.15 tff(1386,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s1)),
% 1.96/2.15 inference(modus_ponens,[status(thm)],[1385, 1384])).
% 1.96/2.15 tff(1387,plain,
% 1.96/2.15 (p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s1)),
% 1.96/2.15 inference(unit_resolution,[status(thm)],[1386, 203, 1383])).
% 1.96/2.15 tff(1388,plain,
% 1.96/2.15 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s0))),
% 1.96/2.15 inference(rewrite,[status(thm)],[])).
% 1.96/2.15 tff(1389,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s0))),
% 1.96/2.15 inference(quant_inst,[status(thm)],[])).
% 1.96/2.15 tff(1390,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s0)),
% 1.96/2.15 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 1.96/2.15 tff(1391,plain,
% 1.96/2.15 (p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s0)),
% 1.96/2.15 inference(unit_resolution,[status(thm)],[1390, 217, 1387])).
% 1.96/2.15 tff(1392,plain,
% 1.96/2.15 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s1))),
% 1.96/2.15 inference(rewrite,[status(thm)],[])).
% 1.96/2.15 tff(1393,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s1))),
% 1.96/2.15 inference(quant_inst,[status(thm)],[])).
% 1.96/2.15 tff(1394,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s1)),
% 1.96/2.15 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 1.96/2.15 tff(1395,plain,
% 1.96/2.15 (p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s1)),
% 1.96/2.15 inference(unit_resolution,[status(thm)],[1394, 203, 1391])).
% 1.96/2.15 tff(1396,plain,
% 1.96/2.15 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s0))),
% 1.96/2.15 inference(rewrite,[status(thm)],[])).
% 1.96/2.15 tff(1397,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s0))),
% 1.96/2.15 inference(quant_inst,[status(thm)],[])).
% 1.96/2.15 tff(1398,plain,
% 1.96/2.15 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s0)),
% 1.96/2.15 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 1.96/2.15 tff(1399,plain,
% 1.96/2.15 (p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s0)),
% 1.96/2.15 inference(unit_resolution,[status(thm)],[1398, 232, 1395])).
% 1.96/2.15 tff(1400,plain,
% 1.96/2.15 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s1))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1401,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s1))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1402,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s1)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 1.96/2.16 tff(1403,plain,
% 1.96/2.16 (p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s1)),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1402, 203, 1399])).
% 1.96/2.16 tff(1404,plain,
% 1.96/2.16 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s0))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1405,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s0))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1406,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s0)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 1.96/2.16 tff(1407,plain,
% 1.96/2.16 (p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s0)),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1406, 217, 1403])).
% 1.96/2.16 tff(1408,plain,
% 1.96/2.16 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s1))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1409,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s1))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1410,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s1)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1409, 1408])).
% 1.96/2.16 tff(1411,plain,
% 1.96/2.16 ($false),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1410, 203, 1407, 144])).
% 1.96/2.16 tff(1412,plain,(p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.16 tff(1413,plain,
% 1.96/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s0))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1414,plain,
% 1.96/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s0))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1415,plain,
% 1.96/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s0)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1414, 1413])).
% 1.96/2.16 tff(1416,plain,
% 1.96/2.16 ($false),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1415, 297, 1412, 143])).
% 1.96/2.16 tff(1417,plain,(p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.16 tff(1418,plain,
% 1.96/2.16 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s1))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1419,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s1))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1420,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s1)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1419, 1418])).
% 1.96/2.16 tff(1421,plain,
% 1.96/2.16 (p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s1)),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1420, 203, 1417])).
% 1.96/2.16 tff(1422,plain,
% 1.96/2.16 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s0))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1423,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s0))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1424,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s0)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1423, 1422])).
% 1.96/2.16 tff(1425,plain,
% 1.96/2.16 ($false),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1424, 217, 1421, 142])).
% 1.96/2.16 tff(1426,plain,(p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.16 tff(1427,plain,
% 1.96/2.16 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s1))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1428,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s1))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1429,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s1)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 1.96/2.16 tff(1430,plain,
% 1.96/2.16 (p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s1)),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1429, 203, 1426])).
% 1.96/2.16 tff(1431,plain,
% 1.96/2.16 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s0))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1432,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s0))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1433,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s0)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 1.96/2.16 tff(1434,plain,
% 1.96/2.16 (p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s0)),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1433, 232, 1430])).
% 1.96/2.16 tff(1435,plain,
% 1.96/2.16 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s1))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1436,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s1))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1437,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s1)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 1.96/2.16 tff(1438,plain,
% 1.96/2.16 (p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s1)),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1437, 203, 1434])).
% 1.96/2.16 tff(1439,plain,
% 1.96/2.16 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s0))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1440,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s0))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1441,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s0)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1440, 1439])).
% 1.96/2.16 tff(1442,plain,
% 1.96/2.16 ($false),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1441, 217, 1438, 141])).
% 1.96/2.16 tff(1443,plain,(p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.16 tff(1444,plain,
% 1.96/2.16 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s1))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1445,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s1))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1446,plain,
% 1.96/2.16 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s1)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1445, 1444])).
% 1.96/2.16 tff(1447,plain,
% 1.96/2.16 (p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s1)),
% 1.96/2.16 inference(unit_resolution,[status(thm)],[1446, 203, 1443])).
% 1.96/2.16 tff(1448,plain,
% 1.96/2.16 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s0))),
% 1.96/2.16 inference(rewrite,[status(thm)],[])).
% 1.96/2.16 tff(1449,plain,
% 1.96/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s0))),
% 1.96/2.16 inference(quant_inst,[status(thm)],[])).
% 1.96/2.16 tff(1450,plain,
% 1.96/2.16 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s0)),
% 1.96/2.16 inference(modus_ponens,[status(thm)],[1449, 1448])).
% 1.96/2.17 tff(1451,plain,
% 1.96/2.17 (p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s0)),
% 1.96/2.17 inference(unit_resolution,[status(thm)],[1450, 255, 1447])).
% 1.96/2.17 tff(1452,plain,
% 1.96/2.17 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s1))),
% 1.96/2.17 inference(rewrite,[status(thm)],[])).
% 1.96/2.17 tff(1453,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s1))),
% 1.96/2.17 inference(quant_inst,[status(thm)],[])).
% 1.96/2.17 tff(1454,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s1)),
% 1.96/2.17 inference(modus_ponens,[status(thm)],[1453, 1452])).
% 1.96/2.17 tff(1455,plain,
% 1.96/2.17 ((~p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s1)),
% 1.96/2.17 inference(unit_resolution,[status(thm)],[1454, 203])).
% 1.96/2.17 tff(1456,plain,
% 1.96/2.17 (p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s1)),
% 1.96/2.17 inference(unit_resolution,[status(thm)],[1455, 1451])).
% 1.96/2.17 tff(1457,plain,
% 1.96/2.17 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s0))),
% 1.96/2.17 inference(rewrite,[status(thm)],[])).
% 1.96/2.17 tff(1458,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s0))),
% 1.96/2.17 inference(quant_inst,[status(thm)],[])).
% 1.96/2.17 tff(1459,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s0)),
% 1.96/2.17 inference(modus_ponens,[status(thm)],[1458, 1457])).
% 1.96/2.17 tff(1460,plain,
% 1.96/2.17 (p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s0)),
% 1.96/2.17 inference(unit_resolution,[status(thm)],[1459, 217, 1456])).
% 1.96/2.17 tff(1461,plain,
% 1.96/2.17 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s1))),
% 1.96/2.17 inference(rewrite,[status(thm)],[])).
% 1.96/2.17 tff(1462,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s1))),
% 1.96/2.17 inference(quant_inst,[status(thm)],[])).
% 1.96/2.17 tff(1463,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s1)),
% 1.96/2.17 inference(modus_ponens,[status(thm)],[1462, 1461])).
% 1.96/2.17 tff(1464,plain,
% 1.96/2.17 (p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s1)),
% 1.96/2.17 inference(unit_resolution,[status(thm)],[1463, 203, 1460])).
% 1.96/2.17 tff(1465,plain,
% 1.96/2.17 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s0))),
% 1.96/2.17 inference(rewrite,[status(thm)],[])).
% 1.96/2.17 tff(1466,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s0))),
% 1.96/2.17 inference(quant_inst,[status(thm)],[])).
% 1.96/2.17 tff(1467,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s0)),
% 1.96/2.17 inference(modus_ponens,[status(thm)],[1466, 1465])).
% 1.96/2.17 tff(1468,plain,
% 1.96/2.17 (p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s0)),
% 1.96/2.17 inference(unit_resolution,[status(thm)],[1467, 232, 1464])).
% 1.96/2.17 tff(1469,plain,
% 1.96/2.17 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s1))),
% 1.96/2.17 inference(rewrite,[status(thm)],[])).
% 1.96/2.17 tff(1470,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s1))),
% 1.96/2.17 inference(quant_inst,[status(thm)],[])).
% 1.96/2.17 tff(1471,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s1)),
% 1.96/2.17 inference(modus_ponens,[status(thm)],[1470, 1469])).
% 1.96/2.17 tff(1472,plain,
% 1.96/2.17 (p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s1)),
% 1.96/2.17 inference(unit_resolution,[status(thm)],[1471, 203, 1468])).
% 1.96/2.17 tff(1473,plain,
% 1.96/2.17 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s0))),
% 1.96/2.17 inference(rewrite,[status(thm)],[])).
% 1.96/2.17 tff(1474,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s0))),
% 1.96/2.17 inference(quant_inst,[status(thm)],[])).
% 1.96/2.17 tff(1475,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s0)),
% 1.96/2.17 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 1.96/2.17 tff(1476,plain,
% 1.96/2.17 (p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s0)),
% 1.96/2.17 inference(unit_resolution,[status(thm)],[1475, 217, 1472])).
% 1.96/2.17 tff(1477,plain,
% 1.96/2.17 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s1))),
% 1.96/2.17 inference(rewrite,[status(thm)],[])).
% 1.96/2.17 tff(1478,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s1))),
% 1.96/2.17 inference(quant_inst,[status(thm)],[])).
% 1.96/2.17 tff(1479,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s1)),
% 1.96/2.17 inference(modus_ponens,[status(thm)],[1478, 1477])).
% 1.96/2.17 tff(1480,plain,
% 1.96/2.17 (p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s1)),
% 1.96/2.17 inference(unit_resolution,[status(thm)],[1479, 203, 1476])).
% 1.96/2.17 tff(1481,plain,
% 1.96/2.17 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s0))),
% 1.96/2.17 inference(rewrite,[status(thm)],[])).
% 1.96/2.17 tff(1482,plain,
% 1.96/2.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s0))),
% 1.96/2.17 inference(quant_inst,[status(thm)],[])).
% 1.96/2.17 tff(1483,plain,
% 1.96/2.17 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s1, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s0)),
% 1.96/2.17 inference(modus_ponens,[status(thm)],[1482, 1481])).
% 1.96/2.17 tff(1484,plain,
% 1.96/2.17 (p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s0)),
% 1.96/2.17 inference(unit_resolution,[status(thm)],[1483, 371, 1480])).
% 1.96/2.17 tff(1485,plain,
% 1.96/2.17 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s1))),
% 1.96/2.17 inference(rewrite,[status(thm)],[])).
% 1.96/2.17 tff(1486,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s1))),
% 1.96/2.17 inference(quant_inst,[status(thm)],[])).
% 1.96/2.17 tff(1487,plain,
% 1.96/2.17 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s1)),
% 1.96/2.18 inference(modus_ponens,[status(thm)],[1486, 1485])).
% 1.96/2.18 tff(1488,plain,
% 1.96/2.18 (p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s1)),
% 1.96/2.18 inference(unit_resolution,[status(thm)],[1487, 203, 1484])).
% 1.96/2.18 tff(1489,plain,
% 1.96/2.18 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s0))),
% 1.96/2.18 inference(rewrite,[status(thm)],[])).
% 1.96/2.18 tff(1490,plain,
% 1.96/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s0))),
% 1.96/2.18 inference(quant_inst,[status(thm)],[])).
% 1.96/2.18 tff(1491,plain,
% 1.96/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s0)),
% 1.96/2.18 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 1.96/2.18 tff(1492,plain,
% 1.96/2.18 (p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s0)),
% 1.96/2.18 inference(unit_resolution,[status(thm)],[1491, 217, 1488])).
% 1.96/2.18 tff(1493,plain,
% 1.96/2.18 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s1))),
% 1.96/2.18 inference(rewrite,[status(thm)],[])).
% 1.96/2.18 tff(1494,plain,
% 1.96/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s1))),
% 1.96/2.18 inference(quant_inst,[status(thm)],[])).
% 1.96/2.18 tff(1495,plain,
% 1.96/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s1)),
% 1.96/2.18 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 1.96/2.18 tff(1496,plain,
% 1.96/2.18 ($false),
% 1.96/2.18 inference(unit_resolution,[status(thm)],[1495, 203, 1492, 140])).
% 1.96/2.18 tff(1497,plain,(p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 1.96/2.18 tff(1498,plain,
% 1.96/2.18 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s0))),
% 1.96/2.18 inference(rewrite,[status(thm)],[])).
% 1.96/2.18 tff(1499,plain,
% 1.96/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s0))),
% 1.96/2.18 inference(quant_inst,[status(thm)],[])).
% 1.96/2.18 tff(1500,plain,
% 1.96/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s0)),
% 2.02/2.18 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 2.02/2.18 tff(1501,plain,
% 2.02/2.18 ($false),
% 2.02/2.18 inference(unit_resolution,[status(thm)],[1500, 232, 1497, 139])).
% 2.02/2.18 tff(1502,plain,(p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.18 tff(1503,plain,
% 2.02/2.18 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s1))),
% 2.02/2.18 inference(rewrite,[status(thm)],[])).
% 2.02/2.18 tff(1504,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s1))),
% 2.02/2.18 inference(quant_inst,[status(thm)],[])).
% 2.02/2.18 tff(1505,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s1)),
% 2.02/2.18 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 2.02/2.18 tff(1506,plain,
% 2.02/2.18 (p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s1)),
% 2.02/2.18 inference(unit_resolution,[status(thm)],[1505, 203, 1502])).
% 2.02/2.18 tff(1507,plain,
% 2.02/2.18 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s0))),
% 2.02/2.18 inference(rewrite,[status(thm)],[])).
% 2.02/2.18 tff(1508,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s0))),
% 2.02/2.18 inference(quant_inst,[status(thm)],[])).
% 2.02/2.18 tff(1509,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s0)),
% 2.02/2.18 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 2.02/2.18 tff(1510,plain,
% 2.02/2.18 ($false),
% 2.02/2.18 inference(unit_resolution,[status(thm)],[1509, 217, 1506, 138])).
% 2.02/2.18 tff(1511,plain,(p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.18 tff(1512,plain,
% 2.02/2.18 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s1))),
% 2.02/2.18 inference(rewrite,[status(thm)],[])).
% 2.02/2.18 tff(1513,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s1))),
% 2.02/2.18 inference(quant_inst,[status(thm)],[])).
% 2.02/2.18 tff(1514,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s1)),
% 2.02/2.18 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 2.02/2.18 tff(1515,plain,
% 2.02/2.18 (p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s1)),
% 2.02/2.18 inference(unit_resolution,[status(thm)],[1514, 203, 1511])).
% 2.02/2.18 tff(1516,plain,
% 2.02/2.18 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s0))),
% 2.02/2.18 inference(rewrite,[status(thm)],[])).
% 2.02/2.18 tff(1517,plain,
% 2.02/2.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s0))),
% 2.02/2.18 inference(quant_inst,[status(thm)],[])).
% 2.02/2.18 tff(1518,plain,
% 2.02/2.18 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s0)),
% 2.02/2.18 inference(modus_ponens,[status(thm)],[1517, 1516])).
% 2.02/2.18 tff(1519,plain,
% 2.02/2.18 (p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s0)),
% 2.02/2.18 inference(unit_resolution,[status(thm)],[1518, 255, 1515])).
% 2.02/2.18 tff(1520,plain,
% 2.02/2.18 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s1))),
% 2.02/2.18 inference(rewrite,[status(thm)],[])).
% 2.02/2.18 tff(1521,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s1))),
% 2.02/2.18 inference(quant_inst,[status(thm)],[])).
% 2.02/2.18 tff(1522,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s1)),
% 2.02/2.18 inference(modus_ponens,[status(thm)],[1521, 1520])).
% 2.02/2.18 tff(1523,plain,
% 2.02/2.18 (p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s1)),
% 2.02/2.18 inference(unit_resolution,[status(thm)],[1522, 203, 1519])).
% 2.02/2.18 tff(1524,plain,
% 2.02/2.18 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s0))),
% 2.02/2.18 inference(rewrite,[status(thm)],[])).
% 2.02/2.18 tff(1525,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s0))),
% 2.02/2.18 inference(quant_inst,[status(thm)],[])).
% 2.02/2.18 tff(1526,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s0)),
% 2.02/2.18 inference(modus_ponens,[status(thm)],[1525, 1524])).
% 2.02/2.18 tff(1527,plain,
% 2.02/2.18 ($false),
% 2.02/2.18 inference(unit_resolution,[status(thm)],[1526, 217, 1523, 137])).
% 2.02/2.18 tff(1528,plain,(p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.18 tff(1529,plain,
% 2.02/2.18 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s1))),
% 2.02/2.18 inference(rewrite,[status(thm)],[])).
% 2.02/2.18 tff(1530,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s1))),
% 2.02/2.18 inference(quant_inst,[status(thm)],[])).
% 2.02/2.18 tff(1531,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s1)),
% 2.02/2.18 inference(modus_ponens,[status(thm)],[1530, 1529])).
% 2.02/2.18 tff(1532,plain,
% 2.02/2.18 (p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s1)),
% 2.02/2.18 inference(unit_resolution,[status(thm)],[1531, 203, 1528])).
% 2.02/2.18 tff(1533,plain,
% 2.02/2.18 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s0))),
% 2.02/2.18 inference(rewrite,[status(thm)],[])).
% 2.02/2.18 tff(1534,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s0))),
% 2.02/2.18 inference(quant_inst,[status(thm)],[])).
% 2.02/2.18 tff(1535,plain,
% 2.02/2.18 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s0)),
% 2.02/2.19 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 2.02/2.19 tff(1536,plain,
% 2.02/2.19 (p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s0)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1535, 232, 1532])).
% 2.02/2.19 tff(1537,plain,
% 2.02/2.19 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s1))),
% 2.02/2.19 inference(rewrite,[status(thm)],[])).
% 2.02/2.19 tff(1538,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s1))),
% 2.02/2.19 inference(quant_inst,[status(thm)],[])).
% 2.02/2.19 tff(1539,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s1)),
% 2.02/2.19 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 2.02/2.19 tff(1540,plain,
% 2.02/2.19 ((~p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s1)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1539, 203])).
% 2.02/2.19 tff(1541,plain,
% 2.02/2.19 (p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s1)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1540, 1536])).
% 2.02/2.19 tff(1542,plain,
% 2.02/2.19 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s0))),
% 2.02/2.19 inference(rewrite,[status(thm)],[])).
% 2.02/2.19 tff(1543,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s0))),
% 2.02/2.19 inference(quant_inst,[status(thm)],[])).
% 2.02/2.19 tff(1544,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s0)),
% 2.02/2.19 inference(modus_ponens,[status(thm)],[1543, 1542])).
% 2.02/2.19 tff(1545,plain,
% 2.02/2.19 (p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s0)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1544, 217, 1541])).
% 2.02/2.19 tff(1546,plain,
% 2.02/2.19 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s1))),
% 2.02/2.19 inference(rewrite,[status(thm)],[])).
% 2.02/2.19 tff(1547,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s1))),
% 2.02/2.19 inference(quant_inst,[status(thm)],[])).
% 2.02/2.19 tff(1548,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s1)),
% 2.02/2.19 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 2.02/2.19 tff(1549,plain,
% 2.02/2.19 (p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s1)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1548, 203, 1545])).
% 2.02/2.19 tff(1550,plain,
% 2.02/2.19 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s0))),
% 2.02/2.19 inference(rewrite,[status(thm)],[])).
% 2.02/2.19 tff(1551,plain,
% 2.02/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s0))),
% 2.02/2.19 inference(quant_inst,[status(thm)],[])).
% 2.02/2.19 tff(1552,plain,
% 2.02/2.19 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s0)),
% 2.02/2.19 inference(modus_ponens,[status(thm)],[1551, 1550])).
% 2.02/2.19 tff(1553,plain,
% 2.02/2.19 (p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s0)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1552, 297, 1549])).
% 2.02/2.19 tff(1554,plain,
% 2.02/2.19 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s1))),
% 2.02/2.19 inference(rewrite,[status(thm)],[])).
% 2.02/2.19 tff(1555,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s1))),
% 2.02/2.19 inference(quant_inst,[status(thm)],[])).
% 2.02/2.19 tff(1556,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s1)),
% 2.02/2.19 inference(modus_ponens,[status(thm)],[1555, 1554])).
% 2.02/2.19 tff(1557,plain,
% 2.02/2.19 (p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s1)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1556, 203, 1553])).
% 2.02/2.19 tff(1558,plain,
% 2.02/2.19 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s0))),
% 2.02/2.19 inference(rewrite,[status(thm)],[])).
% 2.02/2.19 tff(1559,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s0))),
% 2.02/2.19 inference(quant_inst,[status(thm)],[])).
% 2.02/2.19 tff(1560,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s0)),
% 2.02/2.19 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 2.02/2.19 tff(1561,plain,
% 2.02/2.19 (p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s0)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1560, 217, 1557])).
% 2.02/2.19 tff(1562,plain,
% 2.02/2.19 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s1))),
% 2.02/2.19 inference(rewrite,[status(thm)],[])).
% 2.02/2.19 tff(1563,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s1))),
% 2.02/2.19 inference(quant_inst,[status(thm)],[])).
% 2.02/2.19 tff(1564,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s1)),
% 2.02/2.19 inference(modus_ponens,[status(thm)],[1563, 1562])).
% 2.02/2.19 tff(1565,plain,
% 2.02/2.19 (p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s1)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1564, 203, 1561])).
% 2.02/2.19 tff(1566,plain,
% 2.02/2.19 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s0))),
% 2.02/2.19 inference(rewrite,[status(thm)],[])).
% 2.02/2.19 tff(1567,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s0))),
% 2.02/2.19 inference(quant_inst,[status(thm)],[])).
% 2.02/2.19 tff(1568,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s0)),
% 2.02/2.19 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 2.02/2.19 tff(1569,plain,
% 2.02/2.19 (p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s0)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1568, 232, 1565])).
% 2.02/2.19 tff(1570,plain,
% 2.02/2.19 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s1))),
% 2.02/2.19 inference(rewrite,[status(thm)],[])).
% 2.02/2.19 tff(1571,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s1))),
% 2.02/2.19 inference(quant_inst,[status(thm)],[])).
% 2.02/2.19 tff(1572,plain,
% 2.02/2.19 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s1)),
% 2.02/2.19 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 2.02/2.19 tff(1573,plain,
% 2.02/2.19 (p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s1)),
% 2.02/2.19 inference(unit_resolution,[status(thm)],[1572, 203, 1569])).
% 2.02/2.19 tff(1574,plain,
% 2.02/2.19 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s0))),
% 2.02/2.20 inference(rewrite,[status(thm)],[])).
% 2.02/2.20 tff(1575,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s0))),
% 2.02/2.20 inference(quant_inst,[status(thm)],[])).
% 2.02/2.20 tff(1576,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s0)),
% 2.02/2.20 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 2.02/2.20 tff(1577,plain,
% 2.02/2.20 (p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s0)),
% 2.02/2.20 inference(unit_resolution,[status(thm)],[1576, 217, 1573])).
% 2.02/2.20 tff(1578,plain,
% 2.02/2.20 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s1))),
% 2.02/2.20 inference(rewrite,[status(thm)],[])).
% 2.02/2.20 tff(1579,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s1))),
% 2.02/2.20 inference(quant_inst,[status(thm)],[])).
% 2.02/2.20 tff(1580,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s1)),
% 2.02/2.20 inference(modus_ponens,[status(thm)],[1579, 1578])).
% 2.02/2.20 tff(1581,plain,
% 2.02/2.20 ($false),
% 2.02/2.20 inference(unit_resolution,[status(thm)],[1580, 203, 1577, 136])).
% 2.02/2.20 tff(1582,plain,(p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.20 tff(1583,plain,
% 2.02/2.20 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s0))),
% 2.02/2.20 inference(rewrite,[status(thm)],[])).
% 2.02/2.20 tff(1584,plain,
% 2.02/2.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s0))),
% 2.02/2.20 inference(quant_inst,[status(thm)],[])).
% 2.02/2.20 tff(1585,plain,
% 2.02/2.20 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s0)),
% 2.02/2.20 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 2.02/2.20 tff(1586,plain,
% 2.02/2.20 ($false),
% 2.02/2.20 inference(unit_resolution,[status(thm)],[1585, 255, 1582, 135])).
% 2.02/2.20 tff(1587,plain,(p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.20 tff(1588,plain,
% 2.02/2.20 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s1))),
% 2.02/2.20 inference(rewrite,[status(thm)],[])).
% 2.02/2.20 tff(1589,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s1))),
% 2.02/2.20 inference(quant_inst,[status(thm)],[])).
% 2.02/2.20 tff(1590,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s1)),
% 2.02/2.20 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 2.02/2.20 tff(1591,plain,
% 2.02/2.20 (p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s1)),
% 2.02/2.20 inference(unit_resolution,[status(thm)],[1590, 203, 1587])).
% 2.02/2.20 tff(1592,plain,
% 2.02/2.20 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s0))),
% 2.02/2.20 inference(rewrite,[status(thm)],[])).
% 2.02/2.20 tff(1593,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s0))),
% 2.02/2.20 inference(quant_inst,[status(thm)],[])).
% 2.02/2.20 tff(1594,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s0)),
% 2.02/2.20 inference(modus_ponens,[status(thm)],[1593, 1592])).
% 2.02/2.20 tff(1595,plain,
% 2.02/2.20 ($false),
% 2.02/2.20 inference(unit_resolution,[status(thm)],[1594, 217, 1591, 134])).
% 2.02/2.20 tff(1596,plain,(p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.20 tff(1597,plain,
% 2.02/2.20 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s1))),
% 2.02/2.20 inference(rewrite,[status(thm)],[])).
% 2.02/2.20 tff(1598,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s1))),
% 2.02/2.20 inference(quant_inst,[status(thm)],[])).
% 2.02/2.20 tff(1599,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s1)),
% 2.02/2.20 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 2.02/2.20 tff(1600,plain,
% 2.02/2.20 (p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s1)),
% 2.02/2.20 inference(unit_resolution,[status(thm)],[1599, 203, 1596])).
% 2.02/2.20 tff(1601,plain,
% 2.02/2.20 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s0))),
% 2.02/2.20 inference(rewrite,[status(thm)],[])).
% 2.02/2.20 tff(1602,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s0))),
% 2.02/2.20 inference(quant_inst,[status(thm)],[])).
% 2.02/2.20 tff(1603,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s0)),
% 2.02/2.20 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 2.02/2.20 tff(1604,plain,
% 2.02/2.20 (p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s0)),
% 2.02/2.20 inference(unit_resolution,[status(thm)],[1603, 232, 1600])).
% 2.02/2.20 tff(1605,plain,
% 2.02/2.20 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s1))),
% 2.02/2.20 inference(rewrite,[status(thm)],[])).
% 2.02/2.20 tff(1606,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s1))),
% 2.02/2.20 inference(quant_inst,[status(thm)],[])).
% 2.02/2.20 tff(1607,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s1)),
% 2.02/2.20 inference(modus_ponens,[status(thm)],[1606, 1605])).
% 2.02/2.20 tff(1608,plain,
% 2.02/2.20 (p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s1)),
% 2.02/2.20 inference(unit_resolution,[status(thm)],[1607, 203, 1604])).
% 2.02/2.20 tff(1609,plain,
% 2.02/2.20 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s0))),
% 2.02/2.20 inference(rewrite,[status(thm)],[])).
% 2.02/2.20 tff(1610,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s0))),
% 2.02/2.20 inference(quant_inst,[status(thm)],[])).
% 2.02/2.20 tff(1611,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s0)),
% 2.02/2.20 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 2.02/2.20 tff(1612,plain,
% 2.02/2.20 ($false),
% 2.02/2.20 inference(unit_resolution,[status(thm)],[1611, 217, 1608, 133])).
% 2.02/2.20 tff(1613,plain,(p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.20 tff(1614,plain,
% 2.02/2.20 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s1))),
% 2.02/2.20 inference(rewrite,[status(thm)],[])).
% 2.02/2.20 tff(1615,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s1))),
% 2.02/2.20 inference(quant_inst,[status(thm)],[])).
% 2.02/2.20 tff(1616,plain,
% 2.02/2.20 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s1)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1615, 1614])).
% 2.02/2.21 tff(1617,plain,
% 2.02/2.21 (p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s1)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1616, 203, 1613])).
% 2.02/2.21 tff(1618,plain,
% 2.02/2.21 (((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s0))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1619,plain,
% 2.02/2.21 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s0))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1620,plain,
% 2.02/2.21 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s0, s1, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s0)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 2.02/2.21 tff(1621,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s0)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1620, 515, 1617])).
% 2.02/2.21 tff(1622,plain,
% 2.02/2.21 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s1))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1623,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s1))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1624,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s1)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1623, 1622])).
% 2.02/2.21 tff(1625,plain,
% 2.02/2.21 ((~p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s1)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1624, 203])).
% 2.02/2.21 tff(1626,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s1)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1625, 1621])).
% 2.02/2.21 tff(1627,plain,
% 2.02/2.21 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s0))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1628,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s0))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1629,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s0)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1628, 1627])).
% 2.02/2.21 tff(1630,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s0)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1629, 217, 1626])).
% 2.02/2.21 tff(1631,plain,
% 2.02/2.21 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s1))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1632,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s1))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1633,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s1)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 2.02/2.21 tff(1634,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s1)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1633, 203, 1630])).
% 2.02/2.21 tff(1635,plain,
% 2.02/2.21 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s0))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1636,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s0))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1637,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s0)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 2.02/2.21 tff(1638,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s0)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1637, 232, 1634])).
% 2.02/2.21 tff(1639,plain,
% 2.02/2.21 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s1))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1640,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s1))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1641,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s1)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1640, 1639])).
% 2.02/2.21 tff(1642,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s1)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1641, 203, 1638])).
% 2.02/2.21 tff(1643,plain,
% 2.02/2.21 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s0))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1644,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s0))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1645,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s0)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 2.02/2.21 tff(1646,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s0)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1645, 217, 1642])).
% 2.02/2.21 tff(1647,plain,
% 2.02/2.21 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s1))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1648,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s1))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1649,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s1)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1648, 1647])).
% 2.02/2.21 tff(1650,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s1)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1649, 203, 1646])).
% 2.02/2.21 tff(1651,plain,
% 2.02/2.21 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s0))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1652,plain,
% 2.02/2.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s0))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1653,plain,
% 2.02/2.21 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s0)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1652, 1651])).
% 2.02/2.21 tff(1654,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s0)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1653, 255, 1650])).
% 2.02/2.21 tff(1655,plain,
% 2.02/2.21 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s1))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1656,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s1))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1657,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s1)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 2.02/2.21 tff(1658,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s1)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1657, 203, 1654])).
% 2.02/2.21 tff(1659,plain,
% 2.02/2.21 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s0))),
% 2.02/2.21 inference(rewrite,[status(thm)],[])).
% 2.02/2.21 tff(1660,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s0))),
% 2.02/2.21 inference(quant_inst,[status(thm)],[])).
% 2.02/2.21 tff(1661,plain,
% 2.02/2.21 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s0)),
% 2.02/2.21 inference(modus_ponens,[status(thm)],[1660, 1659])).
% 2.02/2.21 tff(1662,plain,
% 2.02/2.21 (p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s0)),
% 2.02/2.21 inference(unit_resolution,[status(thm)],[1661, 217, 1658])).
% 2.02/2.21 tff(1663,plain,
% 2.02/2.21 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1))),
% 2.02/2.22 inference(rewrite,[status(thm)],[])).
% 2.02/2.22 tff(1664,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1))),
% 2.02/2.22 inference(quant_inst,[status(thm)],[])).
% 2.02/2.22 tff(1665,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1)),
% 2.02/2.22 inference(modus_ponens,[status(thm)],[1664, 1663])).
% 2.02/2.22 tff(1666,plain,
% 2.02/2.22 ($false),
% 2.02/2.22 inference(unit_resolution,[status(thm)],[1665, 203, 1662, 132])).
% 2.02/2.22 tff(1667,plain,(p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.22 tff(1668,assumption,(~p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1)), introduced(assumption)).
% 2.02/2.22 tff(1669,plain,
% 2.02/2.22 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1))),
% 2.02/2.22 inference(rewrite,[status(thm)],[])).
% 2.02/2.22 tff(1670,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1))),
% 2.02/2.22 inference(quant_inst,[status(thm)],[])).
% 2.02/2.22 tff(1671,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1)),
% 2.02/2.22 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 2.02/2.22 tff(1672,plain,
% 2.02/2.22 (~p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s0)),
% 2.02/2.22 inference(unit_resolution,[status(thm)],[1671, 203, 1668])).
% 2.02/2.22 tff(1673,plain,
% 2.02/2.22 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s0))),
% 2.02/2.22 inference(rewrite,[status(thm)],[])).
% 2.02/2.22 tff(1674,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s0))),
% 2.02/2.22 inference(quant_inst,[status(thm)],[])).
% 2.02/2.22 tff(1675,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s0)),
% 2.02/2.22 inference(modus_ponens,[status(thm)],[1674, 1673])).
% 2.02/2.22 tff(1676,plain,
% 2.02/2.22 (~p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s1)),
% 2.02/2.22 inference(unit_resolution,[status(thm)],[1675, 232, 1672])).
% 2.02/2.22 tff(1677,plain,
% 2.02/2.22 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s1))),
% 2.02/2.22 inference(rewrite,[status(thm)],[])).
% 2.02/2.22 tff(1678,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s1))),
% 2.02/2.22 inference(quant_inst,[status(thm)],[])).
% 2.02/2.22 tff(1679,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s1)),
% 2.02/2.22 inference(modus_ponens,[status(thm)],[1678, 1677])).
% 2.02/2.22 tff(1680,plain,
% 2.02/2.22 (~p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s0)),
% 2.02/2.22 inference(unit_resolution,[status(thm)],[1679, 203, 1676])).
% 2.02/2.22 tff(1681,plain,
% 2.02/2.22 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s0))),
% 2.02/2.22 inference(rewrite,[status(thm)],[])).
% 2.02/2.22 tff(1682,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s0))),
% 2.02/2.22 inference(quant_inst,[status(thm)],[])).
% 2.02/2.22 tff(1683,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s1, s0)),
% 2.02/2.22 inference(modus_ponens,[status(thm)],[1682, 1681])).
% 2.02/2.22 tff(1684,plain,
% 2.02/2.22 (~p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s1)),
% 2.02/2.22 inference(unit_resolution,[status(thm)],[1683, 217, 1680])).
% 2.02/2.22 tff(1685,plain,
% 2.02/2.22 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s1))),
% 2.02/2.22 inference(rewrite,[status(thm)],[])).
% 2.02/2.22 tff(1686,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s1))),
% 2.02/2.22 inference(quant_inst,[status(thm)],[])).
% 2.02/2.22 tff(1687,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s1)),
% 2.02/2.22 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 2.02/2.22 tff(1688,plain,
% 2.02/2.22 (~p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s0)),
% 2.02/2.22 inference(unit_resolution,[status(thm)],[1687, 203, 1684])).
% 2.02/2.22 tff(1689,assumption,(p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1)), introduced(assumption)).
% 2.02/2.22 tff(1690,plain,
% 2.02/2.22 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s0))),
% 2.02/2.22 inference(rewrite,[status(thm)],[])).
% 2.02/2.22 tff(1691,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s0))),
% 2.02/2.22 inference(quant_inst,[status(thm)],[])).
% 2.02/2.22 tff(1692,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s0)),
% 2.02/2.22 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 2.02/2.22 tff(1693,plain,
% 2.02/2.22 (p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s0)),
% 2.02/2.22 inference(unit_resolution,[status(thm)],[1692, 232, 1689])).
% 2.02/2.22 tff(1694,plain,
% 2.02/2.22 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s1))),
% 2.02/2.22 inference(rewrite,[status(thm)],[])).
% 2.02/2.22 tff(1695,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s1))),
% 2.02/2.22 inference(quant_inst,[status(thm)],[])).
% 2.02/2.22 tff(1696,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s1)),
% 2.02/2.22 inference(modus_ponens,[status(thm)],[1695, 1694])).
% 2.02/2.22 tff(1697,plain,
% 2.02/2.22 (p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s1)),
% 2.02/2.22 inference(unit_resolution,[status(thm)],[1696, 203, 1693])).
% 2.02/2.22 tff(1698,plain,
% 2.02/2.22 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s0))),
% 2.02/2.22 inference(rewrite,[status(thm)],[])).
% 2.02/2.22 tff(1699,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s0))),
% 2.02/2.22 inference(quant_inst,[status(thm)],[])).
% 2.02/2.22 tff(1700,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s0)),
% 2.02/2.22 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 2.02/2.22 tff(1701,plain,
% 2.02/2.22 (p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s0)),
% 2.02/2.22 inference(unit_resolution,[status(thm)],[1700, 217, 1697])).
% 2.02/2.22 tff(1702,plain,
% 2.02/2.22 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s1))),
% 2.02/2.22 inference(rewrite,[status(thm)],[])).
% 2.02/2.22 tff(1703,plain,
% 2.02/2.22 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s1))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1704,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s1)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 2.02/2.23 tff(1705,plain,
% 2.02/2.23 (p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s1)),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1704, 203, 1701])).
% 2.02/2.23 tff(1706,plain,
% 2.02/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s0))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1707,plain,
% 2.02/2.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s0))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1708,plain,
% 2.02/2.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s0, s0, s0)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 2.02/2.23 tff(1709,plain,
% 2.02/2.23 ($false),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1708, 297, 1705, 1688])).
% 2.02/2.23 tff(1710,plain,((~p(s0, s1, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.23 tff(1711,plain,
% 2.02/2.23 (p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1)),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1710, 1667])).
% 2.02/2.23 tff(1712,plain,
% 2.02/2.23 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s0))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1713,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s0))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1714,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s0)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 2.02/2.23 tff(1715,plain,
% 2.02/2.23 ($false),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1714, 217, 1711, 131])).
% 2.02/2.23 tff(1716,plain,(p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.23 tff(1717,plain,
% 2.02/2.23 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s1))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1718,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s1))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1719,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s1)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 2.02/2.23 tff(1720,plain,
% 2.02/2.23 (p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s1)),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1719, 203, 1716])).
% 2.02/2.23 tff(1721,plain,
% 2.02/2.23 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s0))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1722,plain,
% 2.02/2.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s0))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1723,plain,
% 2.02/2.23 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s0)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 2.02/2.23 tff(1724,plain,
% 2.02/2.23 ($false),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1723, 255, 1720, 130])).
% 2.02/2.23 tff(1725,plain,(p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.23 tff(1726,plain,
% 2.02/2.23 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s1))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1727,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s1))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1728,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s1)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 2.02/2.23 tff(1729,plain,
% 2.02/2.23 (p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s1)),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1728, 203, 1725])).
% 2.02/2.23 tff(1730,plain,
% 2.02/2.23 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s0))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1731,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s0))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1732,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s0)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1731, 1730])).
% 2.02/2.23 tff(1733,plain,
% 2.02/2.23 (p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s0)),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1732, 217, 1729])).
% 2.02/2.23 tff(1734,plain,
% 2.02/2.23 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s1))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1735,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s1))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1736,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s1)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 2.02/2.23 tff(1737,plain,
% 2.02/2.23 (p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s1)),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1736, 203, 1733])).
% 2.02/2.23 tff(1738,plain,
% 2.02/2.23 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s0))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1739,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s0))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1740,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s0)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1739, 1738])).
% 2.02/2.23 tff(1741,plain,
% 2.02/2.23 ($false),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1740, 232, 1737, 129])).
% 2.02/2.23 tff(1742,plain,(p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.23 tff(1743,plain,
% 2.02/2.23 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s1))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1744,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s1))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1745,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s1)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1744, 1743])).
% 2.02/2.23 tff(1746,plain,
% 2.02/2.23 (p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s1)),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1745, 203, 1742])).
% 2.02/2.23 tff(1747,plain,
% 2.02/2.23 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s0))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1748,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s0))),
% 2.02/2.23 inference(quant_inst,[status(thm)],[])).
% 2.02/2.23 tff(1749,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s0)),
% 2.02/2.23 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 2.02/2.23 tff(1750,plain,
% 2.02/2.23 (p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s0)),
% 2.02/2.23 inference(unit_resolution,[status(thm)],[1749, 217, 1746])).
% 2.02/2.23 tff(1751,plain,
% 2.02/2.23 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s1))),
% 2.02/2.23 inference(rewrite,[status(thm)],[])).
% 2.02/2.23 tff(1752,plain,
% 2.02/2.23 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s1))),
% 2.02/2.24 inference(quant_inst,[status(thm)],[])).
% 2.02/2.24 tff(1753,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s1)),
% 2.02/2.24 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 2.02/2.24 tff(1754,plain,
% 2.02/2.24 ((~p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s1)),
% 2.02/2.24 inference(unit_resolution,[status(thm)],[1753, 203])).
% 2.02/2.24 tff(1755,plain,
% 2.02/2.24 (p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s1)),
% 2.02/2.24 inference(unit_resolution,[status(thm)],[1754, 1750])).
% 2.02/2.24 tff(1756,plain,
% 2.02/2.24 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s0))),
% 2.02/2.24 inference(rewrite,[status(thm)],[])).
% 2.02/2.24 tff(1757,plain,
% 2.02/2.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s0))),
% 2.02/2.24 inference(quant_inst,[status(thm)],[])).
% 2.02/2.24 tff(1758,plain,
% 2.02/2.24 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s1, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s0)),
% 2.02/2.24 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 2.02/2.24 tff(1759,plain,
% 2.02/2.24 (p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s0)),
% 2.02/2.24 inference(unit_resolution,[status(thm)],[1758, 371, 1755])).
% 2.02/2.24 tff(1760,plain,
% 2.02/2.24 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s1))),
% 2.02/2.24 inference(rewrite,[status(thm)],[])).
% 2.02/2.24 tff(1761,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s1))),
% 2.02/2.24 inference(quant_inst,[status(thm)],[])).
% 2.02/2.24 tff(1762,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s1)),
% 2.02/2.24 inference(modus_ponens,[status(thm)],[1761, 1760])).
% 2.02/2.24 tff(1763,plain,
% 2.02/2.24 (p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s1)),
% 2.02/2.24 inference(unit_resolution,[status(thm)],[1762, 203, 1759])).
% 2.02/2.24 tff(1764,plain,
% 2.02/2.24 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s0))),
% 2.02/2.24 inference(rewrite,[status(thm)],[])).
% 2.02/2.24 tff(1765,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s0))),
% 2.02/2.24 inference(quant_inst,[status(thm)],[])).
% 2.02/2.24 tff(1766,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s0)),
% 2.02/2.24 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 2.02/2.24 tff(1767,plain,
% 2.02/2.24 (p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s0)),
% 2.02/2.24 inference(unit_resolution,[status(thm)],[1766, 217, 1763])).
% 2.02/2.24 tff(1768,plain,
% 2.02/2.24 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s1))),
% 2.02/2.24 inference(rewrite,[status(thm)],[])).
% 2.02/2.24 tff(1769,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s1))),
% 2.02/2.24 inference(quant_inst,[status(thm)],[])).
% 2.02/2.24 tff(1770,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s1)),
% 2.02/2.24 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 2.02/2.24 tff(1771,plain,
% 2.02/2.24 (p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s1)),
% 2.02/2.24 inference(unit_resolution,[status(thm)],[1770, 203, 1767])).
% 2.02/2.24 tff(1772,plain,
% 2.02/2.24 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s0))),
% 2.02/2.24 inference(rewrite,[status(thm)],[])).
% 2.02/2.24 tff(1773,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s0))),
% 2.02/2.24 inference(quant_inst,[status(thm)],[])).
% 2.02/2.24 tff(1774,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s0)),
% 2.02/2.24 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 2.02/2.24 tff(1775,plain,
% 2.02/2.24 (p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s0)),
% 2.02/2.24 inference(unit_resolution,[status(thm)],[1774, 232, 1771])).
% 2.02/2.24 tff(1776,plain,
% 2.02/2.24 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s1))),
% 2.02/2.24 inference(rewrite,[status(thm)],[])).
% 2.02/2.24 tff(1777,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s1))),
% 2.02/2.24 inference(quant_inst,[status(thm)],[])).
% 2.02/2.24 tff(1778,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s1)),
% 2.02/2.24 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 2.02/2.24 tff(1779,plain,
% 2.02/2.24 (p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s1)),
% 2.02/2.24 inference(unit_resolution,[status(thm)],[1778, 203, 1775])).
% 2.02/2.24 tff(1780,plain,
% 2.02/2.24 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s0))),
% 2.02/2.24 inference(rewrite,[status(thm)],[])).
% 2.02/2.24 tff(1781,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s0))),
% 2.02/2.24 inference(quant_inst,[status(thm)],[])).
% 2.02/2.24 tff(1782,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s0)),
% 2.02/2.24 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 2.02/2.24 tff(1783,plain,
% 2.02/2.24 (p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s0)),
% 2.02/2.24 inference(unit_resolution,[status(thm)],[1782, 217, 1779])).
% 2.02/2.24 tff(1784,plain,
% 2.02/2.24 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s1))),
% 2.02/2.24 inference(rewrite,[status(thm)],[])).
% 2.02/2.24 tff(1785,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s1))),
% 2.02/2.24 inference(quant_inst,[status(thm)],[])).
% 2.02/2.24 tff(1786,plain,
% 2.02/2.24 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s1)),
% 2.02/2.24 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 2.02/2.24 tff(1787,plain,
% 2.02/2.24 (p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s1)),
% 2.02/2.24 inference(unit_resolution,[status(thm)],[1786, 203, 1783])).
% 2.02/2.24 tff(1788,plain,
% 2.02/2.24 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s0))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1789,plain,
% 2.02/2.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s0))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1790,plain,
% 2.02/2.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s0)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1789, 1788])).
% 2.02/2.25 tff(1791,plain,
% 2.02/2.25 (p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s0)),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1790, 255, 1787])).
% 2.02/2.25 tff(1792,plain,
% 2.02/2.25 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s1))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1793,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s1))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1794,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s1)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1793, 1792])).
% 2.02/2.25 tff(1795,plain,
% 2.02/2.25 ($false),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1794, 203, 1791, 128])).
% 2.02/2.25 tff(1796,plain,(p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.25 tff(1797,plain,
% 2.02/2.25 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s0))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1798,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s0))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1799,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s0)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 2.02/2.25 tff(1800,plain,
% 2.02/2.25 ($false),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1799, 217, 1796, 127])).
% 2.02/2.25 tff(1801,plain,(p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.25 tff(1802,plain,
% 2.02/2.25 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s1))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1803,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s1))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1804,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s1)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1803, 1802])).
% 2.02/2.25 tff(1805,plain,
% 2.02/2.25 (p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s1)),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1804, 203, 1801])).
% 2.02/2.25 tff(1806,plain,
% 2.02/2.25 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s0))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1807,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s0))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1808,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s0)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1807, 1806])).
% 2.02/2.25 tff(1809,plain,
% 2.02/2.25 ($false),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1808, 232, 1805, 126])).
% 2.02/2.25 tff(1810,plain,(p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.25 tff(1811,plain,
% 2.02/2.25 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s1))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1812,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s1))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1813,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s1)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1812, 1811])).
% 2.02/2.25 tff(1814,plain,
% 2.02/2.25 (p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s1)),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1813, 203, 1810])).
% 2.02/2.25 tff(1815,plain,
% 2.02/2.25 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s0))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1816,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s0))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1817,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s0)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1816, 1815])).
% 2.02/2.25 tff(1818,plain,
% 2.02/2.25 (p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s0)),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1817, 217, 1814])).
% 2.02/2.25 tff(1819,plain,
% 2.02/2.25 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s1))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1820,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s1))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1821,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s1)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1820, 1819])).
% 2.02/2.25 tff(1822,plain,
% 2.02/2.25 (p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s1)),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1821, 203, 1818])).
% 2.02/2.25 tff(1823,plain,
% 2.02/2.25 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s0))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1824,plain,
% 2.02/2.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s0))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1825,plain,
% 2.02/2.25 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s0)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1824, 1823])).
% 2.02/2.25 tff(1826,plain,
% 2.02/2.25 ($false),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1825, 297, 1822, 125])).
% 2.02/2.25 tff(1827,plain,(p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.02/2.25 tff(1828,plain,
% 2.02/2.25 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s1))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1829,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s1))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1830,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s1)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1829, 1828])).
% 2.02/2.25 tff(1831,plain,
% 2.02/2.25 (p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s1)),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1830, 203, 1827])).
% 2.02/2.25 tff(1832,plain,
% 2.02/2.25 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s0))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1833,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s0))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1834,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s0)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 2.02/2.25 tff(1835,plain,
% 2.02/2.25 (p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s0)),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1834, 217, 1831])).
% 2.02/2.25 tff(1836,plain,
% 2.02/2.25 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s1))),
% 2.02/2.25 inference(rewrite,[status(thm)],[])).
% 2.02/2.25 tff(1837,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s1))),
% 2.02/2.25 inference(quant_inst,[status(thm)],[])).
% 2.02/2.25 tff(1838,plain,
% 2.02/2.25 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s1)),
% 2.02/2.25 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 2.02/2.25 tff(1839,plain,
% 2.02/2.25 ((~p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s1)),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1838, 203])).
% 2.02/2.25 tff(1840,plain,
% 2.02/2.25 (p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s1)),
% 2.02/2.25 inference(unit_resolution,[status(thm)],[1839, 1835])).
% 2.02/2.26 tff(1841,plain,
% 2.02/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s0))),
% 2.02/2.26 inference(rewrite,[status(thm)],[])).
% 2.02/2.26 tff(1842,plain,
% 2.02/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s0))),
% 2.02/2.26 inference(quant_inst,[status(thm)],[])).
% 2.02/2.26 tff(1843,plain,
% 2.02/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s0)),
% 2.02/2.26 inference(modus_ponens,[status(thm)],[1842, 1841])).
% 2.02/2.26 tff(1844,plain,
% 2.02/2.26 (p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s0)),
% 2.02/2.26 inference(unit_resolution,[status(thm)],[1843, 232, 1840])).
% 2.02/2.26 tff(1845,plain,
% 2.02/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s1))),
% 2.02/2.26 inference(rewrite,[status(thm)],[])).
% 2.02/2.26 tff(1846,plain,
% 2.02/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s1))),
% 2.02/2.26 inference(quant_inst,[status(thm)],[])).
% 2.02/2.26 tff(1847,plain,
% 2.02/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s1)),
% 2.02/2.26 inference(modus_ponens,[status(thm)],[1846, 1845])).
% 2.02/2.26 tff(1848,plain,
% 2.02/2.26 (p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s1)),
% 2.02/2.26 inference(unit_resolution,[status(thm)],[1847, 203, 1844])).
% 2.02/2.26 tff(1849,plain,
% 2.02/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s0))),
% 2.02/2.26 inference(rewrite,[status(thm)],[])).
% 2.02/2.26 tff(1850,plain,
% 2.02/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s0))),
% 2.02/2.26 inference(quant_inst,[status(thm)],[])).
% 2.02/2.26 tff(1851,plain,
% 2.02/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s0)),
% 2.02/2.26 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 2.02/2.26 tff(1852,plain,
% 2.02/2.26 (p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s0)),
% 2.02/2.26 inference(unit_resolution,[status(thm)],[1851, 217, 1848])).
% 2.02/2.26 tff(1853,plain,
% 2.02/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s1))),
% 2.02/2.26 inference(rewrite,[status(thm)],[])).
% 2.02/2.26 tff(1854,plain,
% 2.02/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s1))),
% 2.02/2.26 inference(quant_inst,[status(thm)],[])).
% 2.02/2.26 tff(1855,plain,
% 2.02/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s1)),
% 2.02/2.26 inference(modus_ponens,[status(thm)],[1854, 1853])).
% 2.02/2.26 tff(1856,plain,
% 2.02/2.26 (p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s1)),
% 2.02/2.26 inference(unit_resolution,[status(thm)],[1855, 203, 1852])).
% 2.02/2.26 tff(1857,plain,
% 2.02/2.26 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s0))),
% 2.02/2.26 inference(rewrite,[status(thm)],[])).
% 2.02/2.26 tff(1858,plain,
% 2.02/2.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s0))),
% 2.02/2.26 inference(quant_inst,[status(thm)],[])).
% 2.02/2.26 tff(1859,plain,
% 2.02/2.26 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s0)),
% 2.02/2.26 inference(modus_ponens,[status(thm)],[1858, 1857])).
% 2.02/2.26 tff(1860,plain,
% 2.02/2.26 (p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s0)),
% 2.02/2.26 inference(unit_resolution,[status(thm)],[1859, 255, 1856])).
% 2.02/2.26 tff(1861,plain,
% 2.02/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s1))),
% 2.02/2.26 inference(rewrite,[status(thm)],[])).
% 2.02/2.26 tff(1862,plain,
% 2.02/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s1))),
% 2.02/2.26 inference(quant_inst,[status(thm)],[])).
% 2.02/2.26 tff(1863,plain,
% 2.02/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s1)),
% 2.02/2.26 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 2.02/2.26 tff(1864,plain,
% 2.02/2.26 (p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s1)),
% 2.02/2.26 inference(unit_resolution,[status(thm)],[1863, 203, 1860])).
% 2.11/2.26 tff(1865,plain,
% 2.11/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s0))),
% 2.11/2.26 inference(rewrite,[status(thm)],[])).
% 2.11/2.26 tff(1866,plain,
% 2.11/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s0))),
% 2.11/2.26 inference(quant_inst,[status(thm)],[])).
% 2.11/2.26 tff(1867,plain,
% 2.11/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s0)),
% 2.11/2.26 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 2.11/2.26 tff(1868,plain,
% 2.11/2.26 (p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s0)),
% 2.11/2.26 inference(unit_resolution,[status(thm)],[1867, 217, 1864])).
% 2.11/2.26 tff(1869,plain,
% 2.11/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s1))),
% 2.11/2.26 inference(rewrite,[status(thm)],[])).
% 2.11/2.26 tff(1870,plain,
% 2.11/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s1))),
% 2.11/2.26 inference(quant_inst,[status(thm)],[])).
% 2.11/2.26 tff(1871,plain,
% 2.11/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s1)),
% 2.11/2.26 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 2.11/2.26 tff(1872,plain,
% 2.11/2.26 (p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s1)),
% 2.11/2.26 inference(unit_resolution,[status(thm)],[1871, 203, 1868])).
% 2.11/2.26 tff(1873,plain,
% 2.11/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s0))),
% 2.11/2.26 inference(rewrite,[status(thm)],[])).
% 2.11/2.26 tff(1874,plain,
% 2.11/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s0))),
% 2.11/2.26 inference(quant_inst,[status(thm)],[])).
% 2.11/2.26 tff(1875,plain,
% 2.11/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s0)),
% 2.11/2.26 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 2.11/2.26 tff(1876,plain,
% 2.11/2.26 (p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s0)),
% 2.11/2.26 inference(unit_resolution,[status(thm)],[1875, 232, 1872])).
% 2.11/2.26 tff(1877,plain,
% 2.11/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s1))),
% 2.11/2.26 inference(rewrite,[status(thm)],[])).
% 2.11/2.26 tff(1878,plain,
% 2.11/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s1))),
% 2.11/2.26 inference(quant_inst,[status(thm)],[])).
% 2.11/2.26 tff(1879,plain,
% 2.11/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s1)),
% 2.11/2.26 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 2.11/2.26 tff(1880,plain,
% 2.11/2.26 ($false),
% 2.11/2.26 inference(unit_resolution,[status(thm)],[1879, 203, 1876, 124])).
% 2.11/2.26 tff(1881,plain,(p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.11/2.26 tff(1882,plain,
% 2.11/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s0))),
% 2.11/2.26 inference(rewrite,[status(thm)],[])).
% 2.11/2.26 tff(1883,plain,
% 2.11/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s0))),
% 2.11/2.26 inference(quant_inst,[status(thm)],[])).
% 2.11/2.26 tff(1884,plain,
% 2.11/2.26 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s0)),
% 2.11/2.26 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 2.11/2.26 tff(1885,plain,
% 2.11/2.26 ($false),
% 2.11/2.26 inference(unit_resolution,[status(thm)],[1884, 217, 1881, 123])).
% 2.11/2.26 tff(1886,plain,(p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.11/2.26 tff(1887,plain,
% 2.11/2.26 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s1))),
% 2.11/2.27 inference(rewrite,[status(thm)],[])).
% 2.11/2.27 tff(1888,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s1))),
% 2.11/2.27 inference(quant_inst,[status(thm)],[])).
% 2.11/2.27 tff(1889,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s1)),
% 2.11/2.27 inference(modus_ponens,[status(thm)],[1888, 1887])).
% 2.11/2.27 tff(1890,plain,
% 2.11/2.27 (p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s1)),
% 2.11/2.27 inference(unit_resolution,[status(thm)],[1889, 203, 1886])).
% 2.11/2.27 tff(1891,plain,
% 2.11/2.27 (((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | (~p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s0))),
% 2.11/2.27 inference(rewrite,[status(thm)],[])).
% 2.11/2.27 tff(1892,plain,
% 2.11/2.27 ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s0))),
% 2.11/2.27 inference(quant_inst,[status(thm)],[])).
% 2.11/2.27 tff(1893,plain,
% 2.11/2.27 ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | (~p(s0, s1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s0)),
% 2.11/2.27 inference(modus_ponens,[status(thm)],[1892, 1891])).
% 2.11/2.27 tff(1894,plain,
% 2.11/2.27 ($false),
% 2.11/2.27 inference(unit_resolution,[status(thm)],[1893, 793, 1890, 122])).
% 2.11/2.27 tff(1895,plain,(p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.11/2.27 tff(1896,plain,
% 2.11/2.27 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s1))),
% 2.11/2.27 inference(rewrite,[status(thm)],[])).
% 2.11/2.27 tff(1897,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s1))),
% 2.11/2.27 inference(quant_inst,[status(thm)],[])).
% 2.11/2.27 tff(1898,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s1)),
% 2.11/2.27 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 2.11/2.27 tff(1899,plain,
% 2.11/2.27 (p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s1)),
% 2.11/2.27 inference(unit_resolution,[status(thm)],[1898, 203, 1895])).
% 2.11/2.27 tff(1900,plain,
% 2.11/2.27 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s0))),
% 2.11/2.27 inference(rewrite,[status(thm)],[])).
% 2.11/2.27 tff(1901,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s0))),
% 2.11/2.27 inference(quant_inst,[status(thm)],[])).
% 2.11/2.27 tff(1902,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s0)),
% 2.11/2.27 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 2.11/2.27 tff(1903,plain,
% 2.11/2.27 (p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s0)),
% 2.11/2.27 inference(unit_resolution,[status(thm)],[1902, 217, 1899])).
% 2.11/2.27 tff(1904,plain,
% 2.11/2.27 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s1))),
% 2.11/2.27 inference(rewrite,[status(thm)],[])).
% 2.11/2.27 tff(1905,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s1))),
% 2.11/2.27 inference(quant_inst,[status(thm)],[])).
% 2.11/2.27 tff(1906,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s1)),
% 2.11/2.27 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 2.11/2.27 tff(1907,plain,
% 2.11/2.27 (p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s1)),
% 2.11/2.27 inference(unit_resolution,[status(thm)],[1906, 203, 1903])).
% 2.11/2.27 tff(1908,plain,
% 2.11/2.27 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s0))),
% 2.11/2.27 inference(rewrite,[status(thm)],[])).
% 2.11/2.27 tff(1909,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s0))),
% 2.11/2.27 inference(quant_inst,[status(thm)],[])).
% 2.11/2.27 tff(1910,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s0)),
% 2.11/2.27 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 2.11/2.27 tff(1911,plain,
% 2.11/2.27 ($false),
% 2.11/2.27 inference(unit_resolution,[status(thm)],[1910, 232, 1907, 121])).
% 2.11/2.27 tff(1912,plain,(p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.11/2.27 tff(1913,plain,
% 2.11/2.27 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s1))),
% 2.11/2.27 inference(rewrite,[status(thm)],[])).
% 2.11/2.27 tff(1914,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s1))),
% 2.11/2.27 inference(quant_inst,[status(thm)],[])).
% 2.11/2.27 tff(1915,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s1)),
% 2.11/2.27 inference(modus_ponens,[status(thm)],[1914, 1913])).
% 2.11/2.27 tff(1916,plain,
% 2.11/2.27 (p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s1)),
% 2.11/2.27 inference(unit_resolution,[status(thm)],[1915, 203, 1912])).
% 2.11/2.27 tff(1917,plain,
% 2.11/2.27 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s0))),
% 2.11/2.27 inference(rewrite,[status(thm)],[])).
% 2.11/2.27 tff(1918,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s0))),
% 2.11/2.27 inference(quant_inst,[status(thm)],[])).
% 2.11/2.27 tff(1919,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s0)),
% 2.11/2.27 inference(modus_ponens,[status(thm)],[1918, 1917])).
% 2.11/2.27 tff(1920,plain,
% 2.11/2.27 (p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s0)),
% 2.11/2.27 inference(unit_resolution,[status(thm)],[1919, 217, 1916])).
% 2.11/2.27 tff(1921,plain,
% 2.11/2.27 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s1))),
% 2.11/2.27 inference(rewrite,[status(thm)],[])).
% 2.11/2.27 tff(1922,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s1))),
% 2.11/2.27 inference(quant_inst,[status(thm)],[])).
% 2.11/2.27 tff(1923,plain,
% 2.11/2.27 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s1)),
% 2.11/2.27 inference(modus_ponens,[status(thm)],[1922, 1921])).
% 2.11/2.27 tff(1924,plain,
% 2.11/2.27 ((~p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s1)),
% 2.11/2.27 inference(unit_resolution,[status(thm)],[1923, 203])).
% 2.11/2.27 tff(1925,plain,
% 2.11/2.27 (p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s1)),
% 2.11/2.27 inference(unit_resolution,[status(thm)],[1924, 1920])).
% 2.11/2.27 tff(1926,plain,
% 2.11/2.27 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s0))),
% 2.11/2.27 inference(rewrite,[status(thm)],[])).
% 2.11/2.27 tff(1927,plain,
% 2.11/2.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s0))),
% 2.11/2.27 inference(quant_inst,[status(thm)],[])).
% 2.11/2.27 tff(1928,plain,
% 2.11/2.27 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s0)),
% 2.11/2.28 inference(modus_ponens,[status(thm)],[1927, 1926])).
% 2.11/2.28 tff(1929,plain,
% 2.11/2.28 (p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s0)),
% 2.11/2.28 inference(unit_resolution,[status(thm)],[1928, 255, 1925])).
% 2.11/2.28 tff(1930,plain,
% 2.11/2.28 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s1))),
% 2.11/2.28 inference(rewrite,[status(thm)],[])).
% 2.11/2.28 tff(1931,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s1))),
% 2.11/2.28 inference(quant_inst,[status(thm)],[])).
% 2.11/2.28 tff(1932,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s1)),
% 2.11/2.28 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 2.11/2.28 tff(1933,plain,
% 2.11/2.28 (p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s1)),
% 2.11/2.28 inference(unit_resolution,[status(thm)],[1932, 203, 1929])).
% 2.11/2.28 tff(1934,plain,
% 2.11/2.28 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s0))),
% 2.11/2.28 inference(rewrite,[status(thm)],[])).
% 2.11/2.28 tff(1935,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s0))),
% 2.11/2.28 inference(quant_inst,[status(thm)],[])).
% 2.11/2.28 tff(1936,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s0)),
% 2.11/2.28 inference(modus_ponens,[status(thm)],[1935, 1934])).
% 2.11/2.28 tff(1937,plain,
% 2.11/2.28 (p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s0)),
% 2.11/2.28 inference(unit_resolution,[status(thm)],[1936, 217, 1933])).
% 2.11/2.28 tff(1938,plain,
% 2.11/2.28 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s1))),
% 2.11/2.28 inference(rewrite,[status(thm)],[])).
% 2.11/2.28 tff(1939,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s1))),
% 2.11/2.28 inference(quant_inst,[status(thm)],[])).
% 2.11/2.28 tff(1940,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s1)),
% 2.11/2.28 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 2.11/2.28 tff(1941,plain,
% 2.11/2.28 (p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s1)),
% 2.11/2.28 inference(unit_resolution,[status(thm)],[1940, 203, 1937])).
% 2.11/2.28 tff(1942,plain,
% 2.11/2.28 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s0))),
% 2.11/2.28 inference(rewrite,[status(thm)],[])).
% 2.11/2.28 tff(1943,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s0))),
% 2.11/2.28 inference(quant_inst,[status(thm)],[])).
% 2.11/2.28 tff(1944,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s0)),
% 2.11/2.28 inference(modus_ponens,[status(thm)],[1943, 1942])).
% 2.11/2.28 tff(1945,plain,
% 2.11/2.28 (p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s0)),
% 2.11/2.28 inference(unit_resolution,[status(thm)],[1944, 232, 1941])).
% 2.11/2.28 tff(1946,plain,
% 2.11/2.28 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s1))),
% 2.11/2.28 inference(rewrite,[status(thm)],[])).
% 2.11/2.28 tff(1947,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s1))),
% 2.11/2.28 inference(quant_inst,[status(thm)],[])).
% 2.11/2.28 tff(1948,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s1)),
% 2.11/2.28 inference(modus_ponens,[status(thm)],[1947, 1946])).
% 2.11/2.28 tff(1949,plain,
% 2.11/2.28 (p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s1)),
% 2.11/2.28 inference(unit_resolution,[status(thm)],[1948, 203, 1945])).
% 2.11/2.28 tff(1950,plain,
% 2.11/2.28 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s0))),
% 2.11/2.28 inference(rewrite,[status(thm)],[])).
% 2.11/2.28 tff(1951,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s0))),
% 2.11/2.28 inference(quant_inst,[status(thm)],[])).
% 2.11/2.28 tff(1952,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s0)),
% 2.11/2.28 inference(modus_ponens,[status(thm)],[1951, 1950])).
% 2.11/2.28 tff(1953,plain,
% 2.11/2.28 (p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s0)),
% 2.11/2.28 inference(unit_resolution,[status(thm)],[1952, 217, 1949])).
% 2.11/2.28 tff(1954,plain,
% 2.11/2.28 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s1))),
% 2.11/2.28 inference(rewrite,[status(thm)],[])).
% 2.11/2.28 tff(1955,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s1))),
% 2.11/2.28 inference(quant_inst,[status(thm)],[])).
% 2.11/2.28 tff(1956,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s1)),
% 2.11/2.28 inference(modus_ponens,[status(thm)],[1955, 1954])).
% 2.11/2.28 tff(1957,plain,
% 2.11/2.28 (p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s1)),
% 2.11/2.28 inference(unit_resolution,[status(thm)],[1956, 203, 1953])).
% 2.11/2.28 tff(1958,plain,
% 2.11/2.28 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s0))),
% 2.11/2.28 inference(rewrite,[status(thm)],[])).
% 2.11/2.28 tff(1959,plain,
% 2.11/2.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s0))),
% 2.11/2.28 inference(quant_inst,[status(thm)],[])).
% 2.11/2.28 tff(1960,plain,
% 2.11/2.28 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s0)),
% 2.11/2.28 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 2.11/2.28 tff(1961,plain,
% 2.11/2.28 (p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s0)),
% 2.11/2.28 inference(unit_resolution,[status(thm)],[1960, 297, 1957])).
% 2.11/2.28 tff(1962,plain,
% 2.11/2.28 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s1))),
% 2.11/2.28 inference(rewrite,[status(thm)],[])).
% 2.11/2.28 tff(1963,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s1))),
% 2.11/2.28 inference(quant_inst,[status(thm)],[])).
% 2.11/2.28 tff(1964,plain,
% 2.11/2.28 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s1)),
% 2.11/2.29 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 2.11/2.29 tff(1965,plain,
% 2.11/2.29 ($false),
% 2.11/2.29 inference(unit_resolution,[status(thm)],[1964, 203, 1961, 120])).
% 2.11/2.29 tff(1966,plain,(p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.11/2.29 tff(1967,plain,
% 2.11/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s0))),
% 2.11/2.29 inference(rewrite,[status(thm)],[])).
% 2.11/2.29 tff(1968,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s0))),
% 2.11/2.29 inference(quant_inst,[status(thm)],[])).
% 2.11/2.29 tff(1969,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s0)),
% 2.11/2.29 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 2.11/2.29 tff(1970,plain,
% 2.11/2.29 ($false),
% 2.11/2.29 inference(unit_resolution,[status(thm)],[1969, 217, 1966, 119])).
% 2.11/2.29 tff(1971,plain,(p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.11/2.29 tff(1972,plain,
% 2.11/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s1))),
% 2.11/2.29 inference(rewrite,[status(thm)],[])).
% 2.11/2.29 tff(1973,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s1))),
% 2.11/2.29 inference(quant_inst,[status(thm)],[])).
% 2.11/2.29 tff(1974,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s1)),
% 2.11/2.29 inference(modus_ponens,[status(thm)],[1973, 1972])).
% 2.11/2.29 tff(1975,plain,
% 2.11/2.29 (p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s1)),
% 2.11/2.29 inference(unit_resolution,[status(thm)],[1974, 203, 1971])).
% 2.11/2.29 tff(1976,plain,
% 2.11/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s0))),
% 2.11/2.29 inference(rewrite,[status(thm)],[])).
% 2.11/2.29 tff(1977,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s0))),
% 2.11/2.29 inference(quant_inst,[status(thm)],[])).
% 2.11/2.29 tff(1978,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s0)),
% 2.11/2.29 inference(modus_ponens,[status(thm)],[1977, 1976])).
% 2.11/2.29 tff(1979,plain,
% 2.11/2.29 ($false),
% 2.11/2.29 inference(unit_resolution,[status(thm)],[1978, 232, 1975, 118])).
% 2.11/2.29 tff(1980,plain,(p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.11/2.29 tff(1981,plain,
% 2.11/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s1))),
% 2.11/2.29 inference(rewrite,[status(thm)],[])).
% 2.11/2.29 tff(1982,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s1))),
% 2.11/2.29 inference(quant_inst,[status(thm)],[])).
% 2.11/2.29 tff(1983,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s1)),
% 2.11/2.29 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 2.11/2.29 tff(1984,plain,
% 2.11/2.29 (p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s1)),
% 2.11/2.29 inference(unit_resolution,[status(thm)],[1983, 203, 1980])).
% 2.11/2.29 tff(1985,plain,
% 2.11/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s0))),
% 2.11/2.29 inference(rewrite,[status(thm)],[])).
% 2.11/2.29 tff(1986,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s0))),
% 2.11/2.29 inference(quant_inst,[status(thm)],[])).
% 2.11/2.29 tff(1987,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s0)),
% 2.11/2.29 inference(modus_ponens,[status(thm)],[1986, 1985])).
% 2.11/2.29 tff(1988,plain,
% 2.11/2.29 (p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s0)),
% 2.11/2.29 inference(unit_resolution,[status(thm)],[1987, 217, 1984])).
% 2.11/2.29 tff(1989,plain,
% 2.11/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s1))),
% 2.11/2.29 inference(rewrite,[status(thm)],[])).
% 2.11/2.29 tff(1990,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s1))),
% 2.11/2.29 inference(quant_inst,[status(thm)],[])).
% 2.11/2.29 tff(1991,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s1)),
% 2.11/2.29 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 2.11/2.29 tff(1992,plain,
% 2.11/2.29 (p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s1)),
% 2.11/2.29 inference(unit_resolution,[status(thm)],[1991, 203, 1988])).
% 2.11/2.29 tff(1993,plain,
% 2.11/2.29 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s0))),
% 2.11/2.29 inference(rewrite,[status(thm)],[])).
% 2.11/2.29 tff(1994,plain,
% 2.11/2.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s0))),
% 2.11/2.29 inference(quant_inst,[status(thm)],[])).
% 2.11/2.29 tff(1995,plain,
% 2.11/2.29 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s0)),
% 2.11/2.29 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 2.11/2.29 tff(1996,plain,
% 2.11/2.29 ($false),
% 2.11/2.29 inference(unit_resolution,[status(thm)],[1995, 255, 1992, 117])).
% 2.11/2.29 tff(1997,plain,(p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.11/2.29 tff(1998,plain,
% 2.11/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s1))),
% 2.11/2.29 inference(rewrite,[status(thm)],[])).
% 2.11/2.29 tff(1999,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s1))),
% 2.11/2.29 inference(quant_inst,[status(thm)],[])).
% 2.11/2.29 tff(2000,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s1)),
% 2.11/2.29 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 2.11/2.29 tff(2001,plain,
% 2.11/2.29 (p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s1)),
% 2.11/2.29 inference(unit_resolution,[status(thm)],[2000, 203, 1997])).
% 2.11/2.29 tff(2002,plain,
% 2.11/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s0))),
% 2.11/2.29 inference(rewrite,[status(thm)],[])).
% 2.11/2.29 tff(2003,plain,
% 2.11/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s0))),
% 2.14/2.29 inference(quant_inst,[status(thm)],[])).
% 2.14/2.29 tff(2004,plain,
% 2.14/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s0)),
% 2.14/2.29 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 2.14/2.29 tff(2005,plain,
% 2.14/2.29 (p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s0)),
% 2.14/2.29 inference(unit_resolution,[status(thm)],[2004, 217, 2001])).
% 2.14/2.29 tff(2006,plain,
% 2.14/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s1))),
% 2.14/2.29 inference(rewrite,[status(thm)],[])).
% 2.14/2.29 tff(2007,plain,
% 2.14/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s1))),
% 2.14/2.29 inference(quant_inst,[status(thm)],[])).
% 2.14/2.29 tff(2008,plain,
% 2.14/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s1)),
% 2.14/2.29 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 2.14/2.29 tff(2009,plain,
% 2.14/2.29 ((~p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s1)),
% 2.14/2.29 inference(unit_resolution,[status(thm)],[2008, 203])).
% 2.14/2.29 tff(2010,plain,
% 2.14/2.29 (p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s1)),
% 2.14/2.29 inference(unit_resolution,[status(thm)],[2009, 2005])).
% 2.14/2.29 tff(2011,plain,
% 2.14/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s0))),
% 2.14/2.29 inference(rewrite,[status(thm)],[])).
% 2.14/2.29 tff(2012,plain,
% 2.14/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s0))),
% 2.14/2.29 inference(quant_inst,[status(thm)],[])).
% 2.14/2.29 tff(2013,plain,
% 2.14/2.29 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s0)),
% 2.14/2.29 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 2.14/2.29 tff(2014,plain,
% 2.14/2.29 (p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s0)),
% 2.14/2.29 inference(unit_resolution,[status(thm)],[2013, 232, 2010])).
% 2.14/2.29 tff(2015,plain,
% 2.14/2.29 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s1))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(2016,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s1))),
% 2.14/2.30 inference(quant_inst,[status(thm)],[])).
% 2.14/2.30 tff(2017,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s1)),
% 2.14/2.30 inference(modus_ponens,[status(thm)],[2016, 2015])).
% 2.14/2.30 tff(2018,plain,
% 2.14/2.30 (p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s1)),
% 2.14/2.30 inference(unit_resolution,[status(thm)],[2017, 203, 2014])).
% 2.14/2.30 tff(2019,plain,
% 2.14/2.30 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s0))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(2020,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s0))),
% 2.14/2.30 inference(quant_inst,[status(thm)],[])).
% 2.14/2.30 tff(2021,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s0)),
% 2.14/2.30 inference(modus_ponens,[status(thm)],[2020, 2019])).
% 2.14/2.30 tff(2022,plain,
% 2.14/2.30 (p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s0)),
% 2.14/2.30 inference(unit_resolution,[status(thm)],[2021, 217, 2018])).
% 2.14/2.30 tff(2023,plain,
% 2.14/2.30 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s1))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(2024,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s1))),
% 2.14/2.30 inference(quant_inst,[status(thm)],[])).
% 2.14/2.30 tff(2025,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s1)),
% 2.14/2.30 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 2.14/2.30 tff(2026,plain,
% 2.14/2.30 (p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s1)),
% 2.14/2.30 inference(unit_resolution,[status(thm)],[2025, 203, 2022])).
% 2.14/2.30 tff(2027,plain,
% 2.14/2.30 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s0))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(2028,plain,
% 2.14/2.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s0))),
% 2.14/2.30 inference(quant_inst,[status(thm)],[])).
% 2.14/2.30 tff(2029,plain,
% 2.14/2.30 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s1, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s0)),
% 2.14/2.30 inference(modus_ponens,[status(thm)],[2028, 2027])).
% 2.14/2.30 tff(2030,plain,
% 2.14/2.30 (p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s0)),
% 2.14/2.30 inference(unit_resolution,[status(thm)],[2029, 371, 2026])).
% 2.14/2.30 tff(2031,plain,
% 2.14/2.30 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s1))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(2032,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s1))),
% 2.14/2.30 inference(quant_inst,[status(thm)],[])).
% 2.14/2.30 tff(2033,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s1)),
% 2.14/2.30 inference(modus_ponens,[status(thm)],[2032, 2031])).
% 2.14/2.30 tff(2034,plain,
% 2.14/2.30 (p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s1)),
% 2.14/2.30 inference(unit_resolution,[status(thm)],[2033, 203, 2030])).
% 2.14/2.30 tff(2035,plain,
% 2.14/2.30 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s0))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(2036,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s0))),
% 2.14/2.30 inference(quant_inst,[status(thm)],[])).
% 2.14/2.30 tff(2037,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s0)),
% 2.14/2.30 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 2.14/2.30 tff(2038,plain,
% 2.14/2.30 (p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s0)),
% 2.14/2.30 inference(unit_resolution,[status(thm)],[2037, 217, 2034])).
% 2.14/2.30 tff(2039,plain,
% 2.14/2.30 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s1))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(2040,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s1))),
% 2.14/2.30 inference(quant_inst,[status(thm)],[])).
% 2.14/2.30 tff(2041,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s1)),
% 2.14/2.30 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 2.14/2.30 tff(2042,plain,
% 2.14/2.30 (p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s1)),
% 2.14/2.30 inference(unit_resolution,[status(thm)],[2041, 203, 2038])).
% 2.14/2.30 tff(2043,plain,
% 2.14/2.30 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s0))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(2044,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s0))),
% 2.14/2.30 inference(quant_inst,[status(thm)],[])).
% 2.14/2.30 tff(2045,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s0)),
% 2.14/2.30 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 2.14/2.30 tff(2046,plain,
% 2.14/2.30 (p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s0)),
% 2.14/2.30 inference(unit_resolution,[status(thm)],[2045, 232, 2042])).
% 2.14/2.30 tff(2047,plain,
% 2.14/2.30 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s1))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(2048,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s1))),
% 2.14/2.30 inference(quant_inst,[status(thm)],[])).
% 2.14/2.30 tff(2049,plain,
% 2.14/2.30 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s1)),
% 2.14/2.30 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 2.14/2.30 tff(2050,plain,
% 2.14/2.30 ($false),
% 2.14/2.30 inference(unit_resolution,[status(thm)],[2049, 203, 2046, 116])).
% 2.14/2.30 tff(2051,plain,(p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.14/2.30 tff(2052,plain,
% 2.14/2.30 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s0))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2053,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s0))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2054,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s0)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2053, 2052])).
% 2.14/2.31 tff(2055,plain,
% 2.14/2.31 ($false),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2054, 217, 2051, 115])).
% 2.14/2.31 tff(2056,plain,(p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.14/2.31 tff(2057,plain,
% 2.14/2.31 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s1))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2058,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s1))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2059,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s1)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 2.14/2.31 tff(2060,plain,
% 2.14/2.31 (p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s1)),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2059, 203, 2056])).
% 2.14/2.31 tff(2061,plain,
% 2.14/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s0))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2062,plain,
% 2.14/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s0))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2063,plain,
% 2.14/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s0)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2062, 2061])).
% 2.14/2.31 tff(2064,plain,
% 2.14/2.31 ($false),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2063, 255, 2060, 114])).
% 2.14/2.31 tff(2065,plain,(p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.14/2.31 tff(2066,plain,
% 2.14/2.31 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s1))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2067,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s1))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2068,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s1)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 2.14/2.31 tff(2069,plain,
% 2.14/2.31 (p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s1)),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2068, 203, 2065])).
% 2.14/2.31 tff(2070,plain,
% 2.14/2.31 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s0))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2071,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s0))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2072,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s0)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 2.14/2.31 tff(2073,plain,
% 2.14/2.31 (p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s0)),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2072, 217, 2069])).
% 2.14/2.31 tff(2074,plain,
% 2.14/2.31 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s1))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2075,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s1))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2076,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s1)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2075, 2074])).
% 2.14/2.31 tff(2077,plain,
% 2.14/2.31 (p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s1)),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2076, 203, 2073])).
% 2.14/2.31 tff(2078,plain,
% 2.14/2.31 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s0))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2079,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s0))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2080,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s0)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2079, 2078])).
% 2.14/2.31 tff(2081,plain,
% 2.14/2.31 ($false),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2080, 232, 2077, 113])).
% 2.14/2.31 tff(2082,plain,(p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.14/2.31 tff(2083,plain,
% 2.14/2.31 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s1))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2084,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s1))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2085,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s1)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2084, 2083])).
% 2.14/2.31 tff(2086,plain,
% 2.14/2.31 (p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s1)),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2085, 203, 2082])).
% 2.14/2.31 tff(2087,plain,
% 2.14/2.31 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s0))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2088,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s0))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2089,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s0)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2088, 2087])).
% 2.14/2.31 tff(2090,plain,
% 2.14/2.31 (p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s0)),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2089, 217, 2086])).
% 2.14/2.31 tff(2091,plain,
% 2.14/2.31 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s1))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2092,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s1))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2093,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s1)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2092, 2091])).
% 2.14/2.31 tff(2094,plain,
% 2.14/2.31 ((~p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s1)),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2093, 203])).
% 2.14/2.31 tff(2095,plain,
% 2.14/2.31 (p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s1)),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2094, 2090])).
% 2.14/2.31 tff(2096,plain,
% 2.14/2.31 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s0))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2097,plain,
% 2.14/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s0))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2098,plain,
% 2.14/2.31 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s0)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2097, 2096])).
% 2.14/2.31 tff(2099,plain,
% 2.14/2.31 (p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s0)),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2098, 297, 2095])).
% 2.14/2.31 tff(2100,plain,
% 2.14/2.31 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s1))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(2101,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s1))),
% 2.14/2.31 inference(quant_inst,[status(thm)],[])).
% 2.14/2.31 tff(2102,plain,
% 2.14/2.31 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s1)),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[2101, 2100])).
% 2.14/2.31 tff(2103,plain,
% 2.14/2.31 (p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s1)),
% 2.14/2.31 inference(unit_resolution,[status(thm)],[2102, 203, 2099])).
% 2.14/2.32 tff(2104,plain,
% 2.14/2.32 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s0))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(2105,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s0))),
% 2.14/2.32 inference(quant_inst,[status(thm)],[])).
% 2.14/2.32 tff(2106,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s0)),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[2105, 2104])).
% 2.14/2.32 tff(2107,plain,
% 2.14/2.32 (p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s0)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[2106, 217, 2103])).
% 2.14/2.32 tff(2108,plain,
% 2.14/2.32 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s1))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(2109,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s1))),
% 2.14/2.32 inference(quant_inst,[status(thm)],[])).
% 2.14/2.32 tff(2110,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s1)),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[2109, 2108])).
% 2.14/2.32 tff(2111,plain,
% 2.14/2.32 (p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s1)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[2110, 203, 2107])).
% 2.14/2.32 tff(2112,plain,
% 2.14/2.32 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s0))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(2113,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s0))),
% 2.14/2.32 inference(quant_inst,[status(thm)],[])).
% 2.14/2.32 tff(2114,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s0)),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[2113, 2112])).
% 2.14/2.32 tff(2115,plain,
% 2.14/2.32 (p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s0)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[2114, 232, 2111])).
% 2.14/2.32 tff(2116,plain,
% 2.14/2.32 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s1))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(2117,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s1))),
% 2.14/2.32 inference(quant_inst,[status(thm)],[])).
% 2.14/2.32 tff(2118,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s1)),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[2117, 2116])).
% 2.14/2.32 tff(2119,plain,
% 2.14/2.32 (p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s1)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[2118, 203, 2115])).
% 2.14/2.32 tff(2120,plain,
% 2.14/2.32 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s0))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(2121,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s0))),
% 2.14/2.32 inference(quant_inst,[status(thm)],[])).
% 2.14/2.32 tff(2122,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s0)),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[2121, 2120])).
% 2.14/2.32 tff(2123,plain,
% 2.14/2.32 (p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s0)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[2122, 217, 2119])).
% 2.14/2.32 tff(2124,plain,
% 2.14/2.32 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s1))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(2125,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s1))),
% 2.14/2.32 inference(quant_inst,[status(thm)],[])).
% 2.14/2.32 tff(2126,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s1)),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[2125, 2124])).
% 2.14/2.32 tff(2127,plain,
% 2.14/2.32 (p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s1)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[2126, 203, 2123])).
% 2.14/2.32 tff(2128,plain,
% 2.14/2.32 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s0))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(2129,plain,
% 2.14/2.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s0))),
% 2.14/2.32 inference(quant_inst,[status(thm)],[])).
% 2.14/2.32 tff(2130,plain,
% 2.14/2.32 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s0)),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 2.14/2.32 tff(2131,plain,
% 2.14/2.32 (p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s0)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[2130, 255, 2127])).
% 2.14/2.32 tff(2132,plain,
% 2.14/2.32 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s1))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(2133,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s1))),
% 2.14/2.32 inference(quant_inst,[status(thm)],[])).
% 2.14/2.32 tff(2134,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s1)),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[2133, 2132])).
% 2.14/2.32 tff(2135,plain,
% 2.14/2.32 ($false),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[2134, 203, 2131, 112])).
% 2.14/2.32 tff(2136,plain,(p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.14/2.32 tff(2137,plain,
% 2.14/2.32 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s0))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(2138,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s0))),
% 2.14/2.32 inference(quant_inst,[status(thm)],[])).
% 2.14/2.32 tff(2139,plain,
% 2.14/2.32 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s0)),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[2138, 2137])).
% 2.14/2.33 tff(2140,plain,
% 2.14/2.33 ($false),
% 2.14/2.33 inference(unit_resolution,[status(thm)],[2139, 217, 2136, 111])).
% 2.14/2.33 tff(2141,plain,(p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.14/2.33 tff(2142,plain,
% 2.14/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s1))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(2143,plain,
% 2.14/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s1))),
% 2.14/2.33 inference(quant_inst,[status(thm)],[])).
% 2.14/2.33 tff(2144,plain,
% 2.14/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s1)),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[2143, 2142])).
% 2.14/2.33 tff(2145,plain,
% 2.14/2.33 (p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s1)),
% 2.14/2.33 inference(unit_resolution,[status(thm)],[2144, 203, 2141])).
% 2.14/2.33 tff(2146,plain,
% 2.14/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s0))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(2147,plain,
% 2.14/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s0))),
% 2.14/2.33 inference(quant_inst,[status(thm)],[])).
% 2.14/2.33 tff(2148,plain,
% 2.14/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s0)),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 2.14/2.33 tff(2149,plain,
% 2.14/2.33 ($false),
% 2.14/2.33 inference(unit_resolution,[status(thm)],[2148, 232, 2145, 110])).
% 2.14/2.33 tff(2150,plain,(p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.14/2.33 tff(2151,plain,
% 2.14/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s1))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(2152,plain,
% 2.14/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s1))),
% 2.14/2.33 inference(quant_inst,[status(thm)],[])).
% 2.14/2.33 tff(2153,plain,
% 2.14/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s1)),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[2152, 2151])).
% 2.14/2.33 tff(2154,plain,
% 2.14/2.33 (p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s1)),
% 2.14/2.33 inference(unit_resolution,[status(thm)],[2153, 203, 2150])).
% 2.14/2.33 tff(2155,plain,
% 2.14/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s0))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(2156,plain,
% 2.14/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s0))),
% 2.14/2.33 inference(quant_inst,[status(thm)],[])).
% 2.14/2.33 tff(2157,plain,
% 2.14/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s0)),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[2156, 2155])).
% 2.14/2.33 tff(2158,plain,
% 2.14/2.33 (p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s0)),
% 2.14/2.33 inference(unit_resolution,[status(thm)],[2157, 217, 2154])).
% 2.14/2.33 tff(2159,plain,
% 2.14/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s1))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(2160,plain,
% 2.14/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s1))),
% 2.14/2.33 inference(quant_inst,[status(thm)],[])).
% 2.14/2.33 tff(2161,plain,
% 2.14/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s1)),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[2160, 2159])).
% 2.14/2.33 tff(2162,plain,
% 2.14/2.33 (p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s1)),
% 2.14/2.33 inference(unit_resolution,[status(thm)],[2161, 203, 2158])).
% 2.14/2.33 tff(2163,plain,
% 2.14/2.33 (((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s0))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(2164,plain,
% 2.14/2.33 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s0))),
% 2.14/2.33 inference(quant_inst,[status(thm)],[])).
% 2.14/2.33 tff(2165,plain,
% 2.14/2.33 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s0, s1, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s0)),
% 2.18/2.33 inference(modus_ponens,[status(thm)],[2164, 2163])).
% 2.18/2.33 tff(2166,plain,
% 2.18/2.33 ($false),
% 2.18/2.33 inference(unit_resolution,[status(thm)],[2165, 515, 2162, 109])).
% 2.18/2.33 tff(2167,plain,(p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.33 tff(2168,plain,
% 2.18/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s1))),
% 2.18/2.33 inference(rewrite,[status(thm)],[])).
% 2.18/2.33 tff(2169,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s1))),
% 2.18/2.33 inference(quant_inst,[status(thm)],[])).
% 2.18/2.33 tff(2170,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s1)),
% 2.18/2.33 inference(modus_ponens,[status(thm)],[2169, 2168])).
% 2.18/2.33 tff(2171,plain,
% 2.18/2.33 (p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s1)),
% 2.18/2.33 inference(unit_resolution,[status(thm)],[2170, 203, 2167])).
% 2.18/2.33 tff(2172,plain,
% 2.18/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s0))),
% 2.18/2.33 inference(rewrite,[status(thm)],[])).
% 2.18/2.33 tff(2173,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s0))),
% 2.18/2.33 inference(quant_inst,[status(thm)],[])).
% 2.18/2.33 tff(2174,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s0)),
% 2.18/2.33 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 2.18/2.33 tff(2175,plain,
% 2.18/2.33 (p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s0)),
% 2.18/2.33 inference(unit_resolution,[status(thm)],[2174, 217, 2171])).
% 2.18/2.33 tff(2176,plain,
% 2.18/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s1))),
% 2.18/2.33 inference(rewrite,[status(thm)],[])).
% 2.18/2.33 tff(2177,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s1))),
% 2.18/2.33 inference(quant_inst,[status(thm)],[])).
% 2.18/2.33 tff(2178,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s1)),
% 2.18/2.33 inference(modus_ponens,[status(thm)],[2177, 2176])).
% 2.18/2.33 tff(2179,plain,
% 2.18/2.33 ((~p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s1)),
% 2.18/2.33 inference(unit_resolution,[status(thm)],[2178, 203])).
% 2.18/2.33 tff(2180,plain,
% 2.18/2.33 (p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s1)),
% 2.18/2.33 inference(unit_resolution,[status(thm)],[2179, 2175])).
% 2.18/2.33 tff(2181,plain,
% 2.18/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s0))),
% 2.18/2.33 inference(rewrite,[status(thm)],[])).
% 2.18/2.33 tff(2182,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s0))),
% 2.18/2.33 inference(quant_inst,[status(thm)],[])).
% 2.18/2.33 tff(2183,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s0)),
% 2.18/2.33 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 2.18/2.33 tff(2184,plain,
% 2.18/2.33 (p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s0)),
% 2.18/2.33 inference(unit_resolution,[status(thm)],[2183, 232, 2180])).
% 2.18/2.33 tff(2185,plain,
% 2.18/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s1))),
% 2.18/2.33 inference(rewrite,[status(thm)],[])).
% 2.18/2.33 tff(2186,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s1))),
% 2.18/2.33 inference(quant_inst,[status(thm)],[])).
% 2.18/2.33 tff(2187,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s1)),
% 2.18/2.33 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 2.18/2.33 tff(2188,plain,
% 2.18/2.33 (p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s1)),
% 2.18/2.33 inference(unit_resolution,[status(thm)],[2187, 203, 2184])).
% 2.18/2.33 tff(2189,plain,
% 2.18/2.33 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s0))),
% 2.18/2.33 inference(rewrite,[status(thm)],[])).
% 2.18/2.33 tff(2190,plain,
% 2.18/2.33 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s0))),
% 2.18/2.34 inference(quant_inst,[status(thm)],[])).
% 2.18/2.34 tff(2191,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s0)),
% 2.18/2.34 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 2.18/2.34 tff(2192,plain,
% 2.18/2.34 (p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s0)),
% 2.18/2.34 inference(unit_resolution,[status(thm)],[2191, 217, 2188])).
% 2.18/2.34 tff(2193,plain,
% 2.18/2.34 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s1))),
% 2.18/2.34 inference(rewrite,[status(thm)],[])).
% 2.18/2.34 tff(2194,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s1))),
% 2.18/2.34 inference(quant_inst,[status(thm)],[])).
% 2.18/2.34 tff(2195,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s1)),
% 2.18/2.34 inference(modus_ponens,[status(thm)],[2194, 2193])).
% 2.18/2.34 tff(2196,plain,
% 2.18/2.34 (p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s1)),
% 2.18/2.34 inference(unit_resolution,[status(thm)],[2195, 203, 2192])).
% 2.18/2.34 tff(2197,plain,
% 2.18/2.34 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s0))),
% 2.18/2.34 inference(rewrite,[status(thm)],[])).
% 2.18/2.34 tff(2198,plain,
% 2.18/2.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s0))),
% 2.18/2.34 inference(quant_inst,[status(thm)],[])).
% 2.18/2.34 tff(2199,plain,
% 2.18/2.34 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s0)),
% 2.18/2.34 inference(modus_ponens,[status(thm)],[2198, 2197])).
% 2.18/2.34 tff(2200,plain,
% 2.18/2.34 (p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s0)),
% 2.18/2.34 inference(unit_resolution,[status(thm)],[2199, 255, 2196])).
% 2.18/2.34 tff(2201,plain,
% 2.18/2.34 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s1))),
% 2.18/2.34 inference(rewrite,[status(thm)],[])).
% 2.18/2.34 tff(2202,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s1))),
% 2.18/2.34 inference(quant_inst,[status(thm)],[])).
% 2.18/2.34 tff(2203,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s1)),
% 2.18/2.34 inference(modus_ponens,[status(thm)],[2202, 2201])).
% 2.18/2.34 tff(2204,plain,
% 2.18/2.34 (p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s1)),
% 2.18/2.34 inference(unit_resolution,[status(thm)],[2203, 203, 2200])).
% 2.18/2.34 tff(2205,plain,
% 2.18/2.34 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s0))),
% 2.18/2.34 inference(rewrite,[status(thm)],[])).
% 2.18/2.34 tff(2206,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s0))),
% 2.18/2.34 inference(quant_inst,[status(thm)],[])).
% 2.18/2.34 tff(2207,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s0)),
% 2.18/2.34 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 2.18/2.34 tff(2208,plain,
% 2.18/2.34 (p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s0)),
% 2.18/2.34 inference(unit_resolution,[status(thm)],[2207, 217, 2204])).
% 2.18/2.34 tff(2209,plain,
% 2.18/2.34 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s1))),
% 2.18/2.34 inference(rewrite,[status(thm)],[])).
% 2.18/2.34 tff(2210,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s1))),
% 2.18/2.34 inference(quant_inst,[status(thm)],[])).
% 2.18/2.34 tff(2211,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s1)),
% 2.18/2.34 inference(modus_ponens,[status(thm)],[2210, 2209])).
% 2.18/2.34 tff(2212,plain,
% 2.18/2.34 (p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s1)),
% 2.18/2.34 inference(unit_resolution,[status(thm)],[2211, 203, 2208])).
% 2.18/2.34 tff(2213,plain,
% 2.18/2.34 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s0))),
% 2.18/2.34 inference(rewrite,[status(thm)],[])).
% 2.18/2.34 tff(2214,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s0))),
% 2.18/2.34 inference(quant_inst,[status(thm)],[])).
% 2.18/2.34 tff(2215,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s0)),
% 2.18/2.34 inference(modus_ponens,[status(thm)],[2214, 2213])).
% 2.18/2.34 tff(2216,plain,
% 2.18/2.34 (p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s0)),
% 2.18/2.34 inference(unit_resolution,[status(thm)],[2215, 232, 2212])).
% 2.18/2.34 tff(2217,plain,
% 2.18/2.34 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s1))),
% 2.18/2.34 inference(rewrite,[status(thm)],[])).
% 2.18/2.34 tff(2218,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s1))),
% 2.18/2.34 inference(quant_inst,[status(thm)],[])).
% 2.18/2.34 tff(2219,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s1)),
% 2.18/2.34 inference(modus_ponens,[status(thm)],[2218, 2217])).
% 2.18/2.34 tff(2220,plain,
% 2.18/2.34 ($false),
% 2.18/2.34 inference(unit_resolution,[status(thm)],[2219, 203, 2216, 108])).
% 2.18/2.34 tff(2221,plain,(p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.34 tff(2222,plain,
% 2.18/2.34 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s0))),
% 2.18/2.34 inference(rewrite,[status(thm)],[])).
% 2.18/2.34 tff(2223,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s0))),
% 2.18/2.34 inference(quant_inst,[status(thm)],[])).
% 2.18/2.34 tff(2224,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s0)),
% 2.18/2.34 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 2.18/2.34 tff(2225,plain,
% 2.18/2.34 ($false),
% 2.18/2.34 inference(unit_resolution,[status(thm)],[2224, 217, 2221, 107])).
% 2.18/2.34 tff(2226,plain,(p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.34 tff(2227,plain,
% 2.18/2.34 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s1))),
% 2.18/2.34 inference(rewrite,[status(thm)],[])).
% 2.18/2.34 tff(2228,plain,
% 2.18/2.34 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s1))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2229,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s1)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2228, 2227])).
% 2.18/2.35 tff(2230,plain,
% 2.18/2.35 (p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s1)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2229, 203, 2226])).
% 2.18/2.35 tff(2231,plain,
% 2.18/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s0))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2232,plain,
% 2.18/2.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s0))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2233,plain,
% 2.18/2.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s0)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2232, 2231])).
% 2.18/2.35 tff(2234,plain,
% 2.18/2.35 ($false),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2233, 297, 2230, 106])).
% 2.18/2.35 tff(2235,plain,(p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.35 tff(2236,plain,
% 2.18/2.35 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s1))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2237,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s1))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2238,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s1)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 2.18/2.35 tff(2239,plain,
% 2.18/2.35 (p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s1)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2238, 203, 2235])).
% 2.18/2.35 tff(2240,plain,
% 2.18/2.35 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s0))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2241,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s0))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2242,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s0)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2241, 2240])).
% 2.18/2.35 tff(2243,plain,
% 2.18/2.35 (p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s0)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2242, 217, 2239])).
% 2.18/2.35 tff(2244,plain,
% 2.18/2.35 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s1))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2245,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s1))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2246,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s1)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2245, 2244])).
% 2.18/2.35 tff(2247,plain,
% 2.18/2.35 (p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s1)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2246, 203, 2243])).
% 2.18/2.35 tff(2248,plain,
% 2.18/2.35 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s0))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2249,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s0))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2250,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s0)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2249, 2248])).
% 2.18/2.35 tff(2251,plain,
% 2.18/2.35 ($false),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2250, 232, 2247, 105])).
% 2.18/2.35 tff(2252,plain,(p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.35 tff(2253,plain,
% 2.18/2.35 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s1))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2254,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s1))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2255,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s1)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2254, 2253])).
% 2.18/2.35 tff(2256,plain,
% 2.18/2.35 (p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s1)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2255, 203, 2252])).
% 2.18/2.35 tff(2257,plain,
% 2.18/2.35 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s0))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2258,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s0))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2259,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s0)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 2.18/2.35 tff(2260,plain,
% 2.18/2.35 (p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s0)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2259, 217, 2256])).
% 2.18/2.35 tff(2261,plain,
% 2.18/2.35 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s1))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2262,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s1))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2263,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s1)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 2.18/2.35 tff(2264,plain,
% 2.18/2.35 ((~p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s1)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2263, 203])).
% 2.18/2.35 tff(2265,plain,
% 2.18/2.35 (p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s1)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2264, 2260])).
% 2.18/2.35 tff(2266,plain,
% 2.18/2.35 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s0))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2267,plain,
% 2.18/2.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s0))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2268,plain,
% 2.18/2.35 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s0)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2267, 2266])).
% 2.18/2.35 tff(2269,plain,
% 2.18/2.35 (p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s0)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2268, 255, 2265])).
% 2.18/2.35 tff(2270,plain,
% 2.18/2.35 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s1))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2271,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s1))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2272,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s1)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2271, 2270])).
% 2.18/2.35 tff(2273,plain,
% 2.18/2.35 (p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s1)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2272, 203, 2269])).
% 2.18/2.35 tff(2274,plain,
% 2.18/2.35 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s0))),
% 2.18/2.35 inference(rewrite,[status(thm)],[])).
% 2.18/2.35 tff(2275,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s0))),
% 2.18/2.35 inference(quant_inst,[status(thm)],[])).
% 2.18/2.35 tff(2276,plain,
% 2.18/2.35 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s0)),
% 2.18/2.35 inference(modus_ponens,[status(thm)],[2275, 2274])).
% 2.18/2.35 tff(2277,plain,
% 2.18/2.35 (p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s0)),
% 2.18/2.35 inference(unit_resolution,[status(thm)],[2276, 217, 2273])).
% 2.18/2.35 tff(2278,plain,
% 2.18/2.35 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s1))),
% 2.18/2.36 inference(rewrite,[status(thm)],[])).
% 2.18/2.36 tff(2279,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s1))),
% 2.18/2.36 inference(quant_inst,[status(thm)],[])).
% 2.18/2.36 tff(2280,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s1)),
% 2.18/2.36 inference(modus_ponens,[status(thm)],[2279, 2278])).
% 2.18/2.36 tff(2281,plain,
% 2.18/2.36 (p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s1)),
% 2.18/2.36 inference(unit_resolution,[status(thm)],[2280, 203, 2277])).
% 2.18/2.36 tff(2282,plain,
% 2.18/2.36 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s0))),
% 2.18/2.36 inference(rewrite,[status(thm)],[])).
% 2.18/2.36 tff(2283,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s0))),
% 2.18/2.36 inference(quant_inst,[status(thm)],[])).
% 2.18/2.36 tff(2284,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s0)),
% 2.18/2.36 inference(modus_ponens,[status(thm)],[2283, 2282])).
% 2.18/2.36 tff(2285,plain,
% 2.18/2.36 (p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s0)),
% 2.18/2.36 inference(unit_resolution,[status(thm)],[2284, 232, 2281])).
% 2.18/2.36 tff(2286,plain,
% 2.18/2.36 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s1))),
% 2.18/2.36 inference(rewrite,[status(thm)],[])).
% 2.18/2.36 tff(2287,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s1))),
% 2.18/2.36 inference(quant_inst,[status(thm)],[])).
% 2.18/2.36 tff(2288,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s1)),
% 2.18/2.36 inference(modus_ponens,[status(thm)],[2287, 2286])).
% 2.18/2.36 tff(2289,plain,
% 2.18/2.36 (p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s1)),
% 2.18/2.36 inference(unit_resolution,[status(thm)],[2288, 203, 2285])).
% 2.18/2.36 tff(2290,plain,
% 2.18/2.36 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s0))),
% 2.18/2.36 inference(rewrite,[status(thm)],[])).
% 2.18/2.36 tff(2291,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s0))),
% 2.18/2.36 inference(quant_inst,[status(thm)],[])).
% 2.18/2.36 tff(2292,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s0)),
% 2.18/2.36 inference(modus_ponens,[status(thm)],[2291, 2290])).
% 2.18/2.36 tff(2293,plain,
% 2.18/2.36 (p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s0)),
% 2.18/2.36 inference(unit_resolution,[status(thm)],[2292, 217, 2289])).
% 2.18/2.36 tff(2294,plain,
% 2.18/2.36 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s1))),
% 2.18/2.36 inference(rewrite,[status(thm)],[])).
% 2.18/2.36 tff(2295,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s1))),
% 2.18/2.36 inference(quant_inst,[status(thm)],[])).
% 2.18/2.36 tff(2296,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s1)),
% 2.18/2.36 inference(modus_ponens,[status(thm)],[2295, 2294])).
% 2.18/2.36 tff(2297,plain,
% 2.18/2.36 (p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s1)),
% 2.18/2.36 inference(unit_resolution,[status(thm)],[2296, 203, 2293])).
% 2.18/2.36 tff(2298,plain,
% 2.18/2.36 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s0))),
% 2.18/2.36 inference(rewrite,[status(thm)],[])).
% 2.18/2.36 tff(2299,plain,
% 2.18/2.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s0))),
% 2.18/2.36 inference(quant_inst,[status(thm)],[])).
% 2.18/2.36 tff(2300,plain,
% 2.18/2.36 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s0, s1, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s0)),
% 2.18/2.36 inference(modus_ponens,[status(thm)],[2299, 2298])).
% 2.18/2.36 tff(2301,plain,
% 2.18/2.36 (p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s0)),
% 2.18/2.36 inference(unit_resolution,[status(thm)],[2300, 371, 2297])).
% 2.18/2.36 tff(2302,plain,
% 2.18/2.36 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s1))),
% 2.18/2.36 inference(rewrite,[status(thm)],[])).
% 2.18/2.36 tff(2303,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s1))),
% 2.18/2.36 inference(quant_inst,[status(thm)],[])).
% 2.18/2.36 tff(2304,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s1)),
% 2.18/2.36 inference(modus_ponens,[status(thm)],[2303, 2302])).
% 2.18/2.36 tff(2305,plain,
% 2.18/2.36 ($false),
% 2.18/2.36 inference(unit_resolution,[status(thm)],[2304, 203, 2301, 104])).
% 2.18/2.36 tff(2306,plain,(p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.36 tff(2307,plain,
% 2.18/2.36 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s0))),
% 2.18/2.36 inference(rewrite,[status(thm)],[])).
% 2.18/2.36 tff(2308,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s0))),
% 2.18/2.36 inference(quant_inst,[status(thm)],[])).
% 2.18/2.36 tff(2309,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s0)),
% 2.18/2.36 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 2.18/2.36 tff(2310,plain,
% 2.18/2.36 ($false),
% 2.18/2.36 inference(unit_resolution,[status(thm)],[2309, 217, 2306, 103])).
% 2.18/2.36 tff(2311,plain,(p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.36 tff(2312,plain,
% 2.18/2.36 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s1))),
% 2.18/2.36 inference(rewrite,[status(thm)],[])).
% 2.18/2.36 tff(2313,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s1))),
% 2.18/2.36 inference(quant_inst,[status(thm)],[])).
% 2.18/2.36 tff(2314,plain,
% 2.18/2.36 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s1)),
% 2.18/2.36 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 2.18/2.36 tff(2315,plain,
% 2.18/2.36 (p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s1)),
% 2.18/2.36 inference(unit_resolution,[status(thm)],[2314, 203, 2311])).
% 2.18/2.36 tff(2316,plain,
% 2.18/2.36 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s0))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2317,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s0))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2318,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s0)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 2.18/2.37 tff(2319,plain,
% 2.18/2.37 ($false),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2318, 232, 2315, 102])).
% 2.18/2.37 tff(2320,plain,(p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.37 tff(2321,plain,
% 2.18/2.37 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s1))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2322,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s1))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2323,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s1)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 2.18/2.37 tff(2324,plain,
% 2.18/2.37 (p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s1)),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2323, 203, 2320])).
% 2.18/2.37 tff(2325,plain,
% 2.18/2.37 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s0))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2326,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s0))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2327,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s0)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2326, 2325])).
% 2.18/2.37 tff(2328,plain,
% 2.18/2.37 (p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s0)),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2327, 217, 2324])).
% 2.18/2.37 tff(2329,plain,
% 2.18/2.37 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s1))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2330,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s1))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2331,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s1)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2330, 2329])).
% 2.18/2.37 tff(2332,plain,
% 2.18/2.37 (p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s1)),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2331, 203, 2328])).
% 2.18/2.37 tff(2333,plain,
% 2.18/2.37 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s0))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2334,plain,
% 2.18/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s0))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2335,plain,
% 2.18/2.37 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s0)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2334, 2333])).
% 2.18/2.37 tff(2336,plain,
% 2.18/2.37 ($false),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2335, 255, 2332, 101])).
% 2.18/2.37 tff(2337,plain,(p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.37 tff(2338,plain,
% 2.18/2.37 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s1))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2339,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s1))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2340,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s1)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 2.18/2.37 tff(2341,plain,
% 2.18/2.37 (p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s1)),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2340, 203, 2337])).
% 2.18/2.37 tff(2342,plain,
% 2.18/2.37 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s0))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2343,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s0))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2344,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s0)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 2.18/2.37 tff(2345,plain,
% 2.18/2.37 (p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s0)),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2344, 217, 2341])).
% 2.18/2.37 tff(2346,plain,
% 2.18/2.37 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s1))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2347,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s1))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2348,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s1)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2347, 2346])).
% 2.18/2.37 tff(2349,plain,
% 2.18/2.37 ((~p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s1)),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2348, 203])).
% 2.18/2.37 tff(2350,plain,
% 2.18/2.37 (p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s1)),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2349, 2345])).
% 2.18/2.37 tff(2351,plain,
% 2.18/2.37 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s0))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2352,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s0))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2353,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s0)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2352, 2351])).
% 2.18/2.37 tff(2354,plain,
% 2.18/2.37 (p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s0)),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2353, 232, 2350])).
% 2.18/2.37 tff(2355,plain,
% 2.18/2.37 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s1))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2356,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s1))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2357,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s1)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2356, 2355])).
% 2.18/2.37 tff(2358,plain,
% 2.18/2.37 (p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s1)),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2357, 203, 2354])).
% 2.18/2.37 tff(2359,plain,
% 2.18/2.37 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s0))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2360,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s0))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2361,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s0)),
% 2.18/2.37 inference(modus_ponens,[status(thm)],[2360, 2359])).
% 2.18/2.37 tff(2362,plain,
% 2.18/2.37 (p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s0)),
% 2.18/2.37 inference(unit_resolution,[status(thm)],[2361, 217, 2358])).
% 2.18/2.37 tff(2363,plain,
% 2.18/2.37 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s1))),
% 2.18/2.37 inference(rewrite,[status(thm)],[])).
% 2.18/2.37 tff(2364,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s1))),
% 2.18/2.37 inference(quant_inst,[status(thm)],[])).
% 2.18/2.37 tff(2365,plain,
% 2.18/2.37 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s1)),
% 2.18/2.38 inference(modus_ponens,[status(thm)],[2364, 2363])).
% 2.18/2.38 tff(2366,plain,
% 2.18/2.38 (p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s1)),
% 2.18/2.38 inference(unit_resolution,[status(thm)],[2365, 203, 2362])).
% 2.18/2.38 tff(2367,plain,
% 2.18/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s0))),
% 2.18/2.38 inference(rewrite,[status(thm)],[])).
% 2.18/2.38 tff(2368,plain,
% 2.18/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s0))),
% 2.18/2.38 inference(quant_inst,[status(thm)],[])).
% 2.18/2.38 tff(2369,plain,
% 2.18/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s0, s1, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s0)),
% 2.18/2.38 inference(modus_ponens,[status(thm)],[2368, 2367])).
% 2.18/2.38 tff(2370,plain,
% 2.18/2.38 (p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s0)),
% 2.18/2.38 inference(unit_resolution,[status(thm)],[2369, 297, 2366])).
% 2.18/2.38 tff(2371,plain,
% 2.18/2.38 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s1))),
% 2.18/2.38 inference(rewrite,[status(thm)],[])).
% 2.18/2.38 tff(2372,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s1))),
% 2.18/2.38 inference(quant_inst,[status(thm)],[])).
% 2.18/2.38 tff(2373,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s1)),
% 2.18/2.38 inference(modus_ponens,[status(thm)],[2372, 2371])).
% 2.18/2.38 tff(2374,plain,
% 2.18/2.38 (p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s1)),
% 2.18/2.38 inference(unit_resolution,[status(thm)],[2373, 203, 2370])).
% 2.18/2.38 tff(2375,plain,
% 2.18/2.38 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s0))),
% 2.18/2.38 inference(rewrite,[status(thm)],[])).
% 2.18/2.38 tff(2376,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s0))),
% 2.18/2.38 inference(quant_inst,[status(thm)],[])).
% 2.18/2.38 tff(2377,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s0)),
% 2.18/2.38 inference(modus_ponens,[status(thm)],[2376, 2375])).
% 2.18/2.38 tff(2378,plain,
% 2.18/2.38 (p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s0)),
% 2.18/2.38 inference(unit_resolution,[status(thm)],[2377, 217, 2374])).
% 2.18/2.38 tff(2379,plain,
% 2.18/2.38 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s1))),
% 2.18/2.38 inference(rewrite,[status(thm)],[])).
% 2.18/2.38 tff(2380,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s1))),
% 2.18/2.38 inference(quant_inst,[status(thm)],[])).
% 2.18/2.38 tff(2381,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s1)),
% 2.18/2.38 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 2.18/2.38 tff(2382,plain,
% 2.18/2.38 (p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s1)),
% 2.18/2.38 inference(unit_resolution,[status(thm)],[2381, 203, 2378])).
% 2.18/2.38 tff(2383,plain,
% 2.18/2.38 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s0))),
% 2.18/2.38 inference(rewrite,[status(thm)],[])).
% 2.18/2.38 tff(2384,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s0))),
% 2.18/2.38 inference(quant_inst,[status(thm)],[])).
% 2.18/2.38 tff(2385,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s0)),
% 2.18/2.38 inference(modus_ponens,[status(thm)],[2384, 2383])).
% 2.18/2.38 tff(2386,plain,
% 2.18/2.38 (p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s0)),
% 2.18/2.38 inference(unit_resolution,[status(thm)],[2385, 232, 2382])).
% 2.18/2.38 tff(2387,plain,
% 2.18/2.38 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s1))),
% 2.18/2.38 inference(rewrite,[status(thm)],[])).
% 2.18/2.38 tff(2388,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s1))),
% 2.18/2.38 inference(quant_inst,[status(thm)],[])).
% 2.18/2.38 tff(2389,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s1)),
% 2.18/2.38 inference(modus_ponens,[status(thm)],[2388, 2387])).
% 2.18/2.38 tff(2390,plain,
% 2.18/2.38 ($false),
% 2.18/2.38 inference(unit_resolution,[status(thm)],[2389, 203, 2386, 100])).
% 2.18/2.38 tff(2391,plain,(p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.38 tff(2392,plain,
% 2.18/2.38 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s0))),
% 2.18/2.38 inference(rewrite,[status(thm)],[])).
% 2.18/2.38 tff(2393,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s0))),
% 2.18/2.38 inference(quant_inst,[status(thm)],[])).
% 2.18/2.38 tff(2394,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s0)),
% 2.18/2.38 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 2.18/2.38 tff(2395,plain,
% 2.18/2.38 ($false),
% 2.18/2.38 inference(unit_resolution,[status(thm)],[2394, 217, 2391, 99])).
% 2.18/2.38 tff(2396,plain,(p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.38 tff(2397,plain,
% 2.18/2.38 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s1))),
% 2.18/2.38 inference(rewrite,[status(thm)],[])).
% 2.18/2.38 tff(2398,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s1))),
% 2.18/2.38 inference(quant_inst,[status(thm)],[])).
% 2.18/2.38 tff(2399,plain,
% 2.18/2.38 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s1)),
% 2.18/2.38 inference(modus_ponens,[status(thm)],[2398, 2397])).
% 2.18/2.38 tff(2400,plain,
% 2.18/2.38 (p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s1)),
% 2.18/2.38 inference(unit_resolution,[status(thm)],[2399, 203, 2396])).
% 2.18/2.38 tff(2401,plain,
% 2.18/2.38 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s0))),
% 2.18/2.38 inference(rewrite,[status(thm)],[])).
% 2.18/2.38 tff(2402,plain,
% 2.18/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s0))),
% 2.18/2.38 inference(quant_inst,[status(thm)],[])).
% 2.18/2.38 tff(2403,plain,
% 2.18/2.38 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s0, s1, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s0)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2402, 2401])).
% 2.18/2.39 tff(2404,plain,
% 2.18/2.39 ($false),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2403, 255, 2400, 98])).
% 2.18/2.39 tff(2405,plain,(p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.39 tff(2406,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s1))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2407,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s1))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2408,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s1)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2407, 2406])).
% 2.18/2.39 tff(2409,plain,
% 2.18/2.39 (p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s1)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2408, 203, 2405])).
% 2.18/2.39 tff(2410,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s0))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2411,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s0))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2412,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s0)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2411, 2410])).
% 2.18/2.39 tff(2413,plain,
% 2.18/2.39 (p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s0)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2412, 217, 2409])).
% 2.18/2.39 tff(2414,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s1))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2415,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s1))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2416,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s1)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2415, 2414])).
% 2.18/2.39 tff(2417,plain,
% 2.18/2.39 (p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s1)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2416, 203, 2413])).
% 2.18/2.39 tff(2418,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s0))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2419,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s0))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2420,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s0, s1, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s0)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2419, 2418])).
% 2.18/2.39 tff(2421,plain,
% 2.18/2.39 ($false),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2420, 232, 2417, 97])).
% 2.18/2.39 tff(2422,plain,(p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.39 tff(2423,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s1))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2424,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s1))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2425,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s1)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2424, 2423])).
% 2.18/2.39 tff(2426,plain,
% 2.18/2.39 (p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s1)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2425, 203, 2422])).
% 2.18/2.39 tff(2427,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s0))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2428,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s0))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2429,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s0, s1, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s0)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2428, 2427])).
% 2.18/2.39 tff(2430,plain,
% 2.18/2.39 (p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s0)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2429, 217, 2426])).
% 2.18/2.39 tff(2431,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s1))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2432,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s1))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2433,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s1)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 2.18/2.39 tff(2434,plain,
% 2.18/2.39 (p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s1)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2433, 203, 2430])).
% 2.18/2.39 tff(2435,plain,
% 2.18/2.39 (((~p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s0)) <=> ((~p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s0))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2436,axiom,((~p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule10')).
% 2.18/2.39 tff(2437,plain,
% 2.18/2.39 ((~p(s0, s1, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s0)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2436, 2435])).
% 2.18/2.39 tff(2438,plain,
% 2.18/2.39 (p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s0)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2437, 2434])).
% 2.18/2.39 tff(2439,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s1))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2440,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s1))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2441,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s1)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2440, 2439])).
% 2.18/2.39 tff(2442,plain,
% 2.18/2.39 (p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s1)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2441, 203, 2438])).
% 2.18/2.39 tff(2443,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s0))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2444,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s0))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2445,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s0)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2444, 2443])).
% 2.18/2.39 tff(2446,plain,
% 2.18/2.39 (p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s0)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2445, 217, 2442])).
% 2.18/2.39 tff(2447,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s1))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2448,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s1))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2449,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s1)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2448, 2447])).
% 2.18/2.39 tff(2450,plain,
% 2.18/2.39 (p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s1)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2449, 203, 2446])).
% 2.18/2.39 tff(2451,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s0))),
% 2.18/2.39 inference(rewrite,[status(thm)],[])).
% 2.18/2.39 tff(2452,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s0))),
% 2.18/2.39 inference(quant_inst,[status(thm)],[])).
% 2.18/2.39 tff(2453,plain,
% 2.18/2.39 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s0)),
% 2.18/2.39 inference(modus_ponens,[status(thm)],[2452, 2451])).
% 2.18/2.39 tff(2454,plain,
% 2.18/2.39 (p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s0)),
% 2.18/2.39 inference(unit_resolution,[status(thm)],[2453, 232, 2450])).
% 2.18/2.39 tff(2455,plain,
% 2.18/2.39 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s1))),
% 2.18/2.40 inference(rewrite,[status(thm)],[])).
% 2.18/2.40 tff(2456,plain,
% 2.18/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s1))),
% 2.18/2.40 inference(quant_inst,[status(thm)],[])).
% 2.18/2.40 tff(2457,plain,
% 2.18/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s1)),
% 2.18/2.40 inference(modus_ponens,[status(thm)],[2456, 2455])).
% 2.18/2.40 tff(2458,plain,
% 2.18/2.40 (p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s1)),
% 2.18/2.40 inference(unit_resolution,[status(thm)],[2457, 203, 2454])).
% 2.18/2.40 tff(2459,plain,
% 2.18/2.40 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s0))),
% 2.18/2.40 inference(rewrite,[status(thm)],[])).
% 2.18/2.40 tff(2460,plain,
% 2.18/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s0))),
% 2.18/2.40 inference(quant_inst,[status(thm)],[])).
% 2.18/2.40 tff(2461,plain,
% 2.18/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s0)),
% 2.18/2.40 inference(modus_ponens,[status(thm)],[2460, 2459])).
% 2.18/2.40 tff(2462,plain,
% 2.18/2.40 (p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s0)),
% 2.18/2.40 inference(unit_resolution,[status(thm)],[2461, 217, 2458])).
% 2.18/2.40 tff(2463,plain,
% 2.18/2.40 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s1))),
% 2.18/2.40 inference(rewrite,[status(thm)],[])).
% 2.18/2.40 tff(2464,plain,
% 2.18/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s1))),
% 2.18/2.40 inference(quant_inst,[status(thm)],[])).
% 2.18/2.40 tff(2465,plain,
% 2.18/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s1)),
% 2.18/2.40 inference(modus_ponens,[status(thm)],[2464, 2463])).
% 2.18/2.40 tff(2466,plain,
% 2.18/2.40 (p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s1)),
% 2.18/2.40 inference(unit_resolution,[status(thm)],[2465, 203, 2462])).
% 2.25/2.40 tff(2467,plain,
% 2.25/2.40 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s0))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(2468,plain,
% 2.25/2.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s0))),
% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
% 2.25/2.40 tff(2469,plain,
% 2.25/2.40 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s0)),
% 2.25/2.40 inference(modus_ponens,[status(thm)],[2468, 2467])).
% 2.25/2.40 tff(2470,plain,
% 2.25/2.40 (p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s0)),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[2469, 255, 2466])).
% 2.25/2.40 tff(2471,plain,
% 2.25/2.40 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s1))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(2472,plain,
% 2.25/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s1))),
% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
% 2.25/2.40 tff(2473,plain,
% 2.25/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s1)),
% 2.25/2.40 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 2.25/2.40 tff(2474,plain,
% 2.25/2.40 (p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s1)),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[2473, 203, 2470])).
% 2.25/2.40 tff(2475,plain,
% 2.25/2.40 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s0))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(2476,plain,
% 2.25/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s0))),
% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
% 2.25/2.40 tff(2477,plain,
% 2.25/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s0)),
% 2.25/2.40 inference(modus_ponens,[status(thm)],[2476, 2475])).
% 2.25/2.40 tff(2478,plain,
% 2.25/2.40 (p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s0)),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[2477, 217, 2474])).
% 2.25/2.40 tff(2479,plain,
% 2.25/2.40 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(2480,plain,
% 2.25/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1))),
% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
% 2.25/2.40 tff(2481,plain,
% 2.25/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1)),
% 2.25/2.40 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 2.25/2.40 tff(2482,plain,
% 2.25/2.40 ($false),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[2481, 203, 2478, 96])).
% 2.25/2.40 tff(2483,plain,(p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.40 tff(2484,assumption,(~p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1)), introduced(assumption)).
% 2.25/2.40 tff(2485,plain,
% 2.25/2.40 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(2486,plain,
% 2.25/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1))),
% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
% 2.25/2.40 tff(2487,plain,
% 2.25/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1)),
% 2.25/2.40 inference(modus_ponens,[status(thm)],[2486, 2485])).
% 2.25/2.40 tff(2488,plain,
% 2.25/2.40 (~p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s0)),
% 2.25/2.40 inference(unit_resolution,[status(thm)],[2487, 203, 2484])).
% 2.25/2.40 tff(2489,plain,
% 2.25/2.40 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s0))),
% 2.25/2.40 inference(rewrite,[status(thm)],[])).
% 2.25/2.40 tff(2490,plain,
% 2.25/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s0))),
% 2.25/2.40 inference(quant_inst,[status(thm)],[])).
% 2.25/2.40 tff(2491,plain,
% 2.25/2.40 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s0)),
% 2.25/2.40 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 2.25/2.41 tff(2492,plain,
% 2.25/2.41 (~p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s1)),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[2491, 232, 2488])).
% 2.25/2.41 tff(2493,plain,
% 2.25/2.41 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s1))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(2494,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s1))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(2495,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s1)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[2494, 2493])).
% 2.25/2.41 tff(2496,plain,
% 2.25/2.41 (~p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s0)),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[2495, 203, 2492])).
% 2.25/2.41 tff(2497,plain,
% 2.25/2.41 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s0))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(2498,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s0))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(2499,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s1, s0)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 2.25/2.41 tff(2500,plain,
% 2.25/2.41 (~p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s1)),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[2499, 217, 2496])).
% 2.25/2.41 tff(2501,plain,
% 2.25/2.41 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s1))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(2502,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s1))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(2503,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s1)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[2502, 2501])).
% 2.25/2.41 tff(2504,plain,
% 2.25/2.41 (~p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s0)),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[2503, 203, 2500])).
% 2.25/2.41 tff(2505,assumption,(p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1)), introduced(assumption)).
% 2.25/2.41 tff(2506,plain,
% 2.25/2.41 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s0))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(2507,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s0))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(2508,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s0)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[2507, 2506])).
% 2.25/2.41 tff(2509,plain,
% 2.25/2.41 (p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s0)),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[2508, 232, 2505])).
% 2.25/2.41 tff(2510,plain,
% 2.25/2.41 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s1))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(2511,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s1))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(2512,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s1)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 2.25/2.41 tff(2513,plain,
% 2.25/2.41 (p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s1)),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[2512, 203, 2509])).
% 2.25/2.41 tff(2514,plain,
% 2.25/2.41 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s0))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(2515,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s0))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(2516,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s0)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[2515, 2514])).
% 2.25/2.41 tff(2517,plain,
% 2.25/2.41 (p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s0)),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[2516, 217, 2513])).
% 2.25/2.41 tff(2518,plain,
% 2.25/2.41 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s1))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(2519,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s1))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(2520,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s1)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[2519, 2518])).
% 2.25/2.41 tff(2521,plain,
% 2.25/2.41 (p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s1)),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[2520, 203, 2517])).
% 2.25/2.41 tff(2522,plain,
% 2.25/2.41 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s0))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(2523,plain,
% 2.25/2.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s0))),
% 2.25/2.41 inference(quant_inst,[status(thm)],[])).
% 2.25/2.41 tff(2524,plain,
% 2.25/2.41 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s0, s0, s0)),
% 2.25/2.41 inference(modus_ponens,[status(thm)],[2523, 2522])).
% 2.25/2.41 tff(2525,plain,
% 2.25/2.41 ($false),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[2524, 297, 2521, 2504])).
% 2.25/2.41 tff(2526,plain,((~p(s1, s0, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.41 tff(2527,plain,
% 2.25/2.41 (p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1)),
% 2.25/2.41 inference(unit_resolution,[status(thm)],[2526, 2483])).
% 2.25/2.41 tff(2528,plain,
% 2.25/2.41 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s0))),
% 2.25/2.41 inference(rewrite,[status(thm)],[])).
% 2.25/2.41 tff(2529,plain,
% 2.25/2.41 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s0))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2530,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s0)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 2.25/2.42 tff(2531,plain,
% 2.25/2.42 ($false),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2530, 217, 2527, 95])).
% 2.25/2.42 tff(2532,plain,(p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.42 tff(2533,plain,
% 2.25/2.42 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s1))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2534,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s1))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2535,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s1)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2534, 2533])).
% 2.25/2.42 tff(2536,plain,
% 2.25/2.42 (p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s1)),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2535, 203, 2532])).
% 2.25/2.42 tff(2537,plain,
% 2.25/2.42 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s0))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2538,plain,
% 2.25/2.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s0))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2539,plain,
% 2.25/2.42 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s0)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 2.25/2.42 tff(2540,plain,
% 2.25/2.42 ($false),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2539, 255, 2536, 94])).
% 2.25/2.42 tff(2541,plain,(p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.42 tff(2542,plain,
% 2.25/2.42 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s1))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2543,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s1))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2544,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s1)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2543, 2542])).
% 2.25/2.42 tff(2545,plain,
% 2.25/2.42 (p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s1)),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2544, 203, 2541])).
% 2.25/2.42 tff(2546,plain,
% 2.25/2.42 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s0))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2547,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s0))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2548,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s0)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2547, 2546])).
% 2.25/2.42 tff(2549,plain,
% 2.25/2.42 (p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s0)),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2548, 217, 2545])).
% 2.25/2.42 tff(2550,plain,
% 2.25/2.42 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s1))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2551,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s1))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2552,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s1)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 2.25/2.42 tff(2553,plain,
% 2.25/2.42 (p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s1)),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2552, 203, 2549])).
% 2.25/2.42 tff(2554,plain,
% 2.25/2.42 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s0))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2555,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s0))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2556,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s0)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2555, 2554])).
% 2.25/2.42 tff(2557,plain,
% 2.25/2.42 ($false),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2556, 232, 2553, 93])).
% 2.25/2.42 tff(2558,plain,(p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.42 tff(2559,plain,
% 2.25/2.42 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s1))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2560,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s1))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2561,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s1)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 2.25/2.42 tff(2562,plain,
% 2.25/2.42 (p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s1)),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2561, 203, 2558])).
% 2.25/2.42 tff(2563,plain,
% 2.25/2.42 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s0))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2564,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s0))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2565,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s0)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 2.25/2.42 tff(2566,plain,
% 2.25/2.42 (p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s0)),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2565, 217, 2562])).
% 2.25/2.42 tff(2567,plain,
% 2.25/2.42 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s1))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2568,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s1))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2569,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s1)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2568, 2567])).
% 2.25/2.42 tff(2570,plain,
% 2.25/2.42 ((~p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s1)),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2569, 203])).
% 2.25/2.42 tff(2571,plain,
% 2.25/2.42 (p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s1)),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2570, 2566])).
% 2.25/2.42 tff(2572,plain,
% 2.25/2.42 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s0))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2573,plain,
% 2.25/2.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s0))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2574,plain,
% 2.25/2.42 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s0, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s0)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2573, 2572])).
% 2.25/2.42 tff(2575,plain,
% 2.25/2.42 (p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s0)),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2574, 371, 2571])).
% 2.25/2.42 tff(2576,plain,
% 2.25/2.42 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s1))),
% 2.25/2.42 inference(rewrite,[status(thm)],[])).
% 2.25/2.42 tff(2577,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s1))),
% 2.25/2.42 inference(quant_inst,[status(thm)],[])).
% 2.25/2.42 tff(2578,plain,
% 2.25/2.42 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s1)),
% 2.25/2.42 inference(modus_ponens,[status(thm)],[2577, 2576])).
% 2.25/2.42 tff(2579,plain,
% 2.25/2.42 (p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s1)),
% 2.25/2.42 inference(unit_resolution,[status(thm)],[2578, 203, 2575])).
% 2.25/2.42 tff(2580,plain,
% 2.25/2.42 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s0))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(2581,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s0))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(2582,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s0)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[2581, 2580])).
% 2.25/2.43 tff(2583,plain,
% 2.25/2.43 (p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s0)),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[2582, 217, 2579])).
% 2.25/2.43 tff(2584,plain,
% 2.25/2.43 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s1))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(2585,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s1))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(2586,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s1)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[2585, 2584])).
% 2.25/2.43 tff(2587,plain,
% 2.25/2.43 (p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s1)),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[2586, 203, 2583])).
% 2.25/2.43 tff(2588,plain,
% 2.25/2.43 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s0))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(2589,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s0))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(2590,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s0)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[2589, 2588])).
% 2.25/2.43 tff(2591,plain,
% 2.25/2.43 (p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s0)),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[2590, 232, 2587])).
% 2.25/2.43 tff(2592,plain,
% 2.25/2.43 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s1))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(2593,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s1))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(2594,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s1)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[2593, 2592])).
% 2.25/2.43 tff(2595,plain,
% 2.25/2.43 (p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s1)),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[2594, 203, 2591])).
% 2.25/2.43 tff(2596,plain,
% 2.25/2.43 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s0))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(2597,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s0))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(2598,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s0)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 2.25/2.43 tff(2599,plain,
% 2.25/2.43 (p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s0)),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[2598, 217, 2595])).
% 2.25/2.43 tff(2600,plain,
% 2.25/2.43 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s1))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(2601,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s1))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(2602,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s1)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[2601, 2600])).
% 2.25/2.43 tff(2603,plain,
% 2.25/2.43 (p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s1)),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[2602, 203, 2599])).
% 2.25/2.43 tff(2604,plain,
% 2.25/2.43 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s0))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(2605,plain,
% 2.25/2.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s0))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(2606,plain,
% 2.25/2.43 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s0)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[2605, 2604])).
% 2.25/2.43 tff(2607,plain,
% 2.25/2.43 (p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s0)),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[2606, 255, 2603])).
% 2.25/2.43 tff(2608,plain,
% 2.25/2.43 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s1))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(2609,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s1))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(2610,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s1)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 2.25/2.43 tff(2611,plain,
% 2.25/2.43 ($false),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[2610, 203, 2607, 92])).
% 2.25/2.43 tff(2612,plain,(p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.43 tff(2613,plain,
% 2.25/2.43 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s0))),
% 2.25/2.43 inference(rewrite,[status(thm)],[])).
% 2.25/2.43 tff(2614,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s0))),
% 2.25/2.43 inference(quant_inst,[status(thm)],[])).
% 2.25/2.43 tff(2615,plain,
% 2.25/2.43 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s0)),
% 2.25/2.43 inference(modus_ponens,[status(thm)],[2614, 2613])).
% 2.25/2.43 tff(2616,plain,
% 2.25/2.43 ($false),
% 2.25/2.43 inference(unit_resolution,[status(thm)],[2615, 217, 2612, 91])).
% 2.25/2.43 tff(2617,plain,(p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.43 tff(2618,plain,
% 2.25/2.43 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s1))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2619,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s1))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2620,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s1)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 2.25/2.44 tff(2621,plain,
% 2.25/2.44 (p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s1)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2620, 203, 2617])).
% 2.25/2.44 tff(2622,plain,
% 2.25/2.44 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s0))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2623,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s0))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2624,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s0)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2623, 2622])).
% 2.25/2.44 tff(2625,plain,
% 2.25/2.44 ($false),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2624, 232, 2621, 90])).
% 2.25/2.44 tff(2626,plain,(p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.44 tff(2627,plain,
% 2.25/2.44 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s1))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2628,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s1))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2629,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s1)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 2.25/2.44 tff(2630,plain,
% 2.25/2.44 (p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s1)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2629, 203, 2626])).
% 2.25/2.44 tff(2631,plain,
% 2.25/2.44 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s0))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2632,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s0))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2633,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s0)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2632, 2631])).
% 2.25/2.44 tff(2634,plain,
% 2.25/2.44 (p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s0)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2633, 217, 2630])).
% 2.25/2.44 tff(2635,plain,
% 2.25/2.44 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s1))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2636,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s1))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2637,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s1)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2636, 2635])).
% 2.25/2.44 tff(2638,plain,
% 2.25/2.44 (p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s1)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2637, 203, 2634])).
% 2.25/2.44 tff(2639,plain,
% 2.25/2.44 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s0))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2640,plain,
% 2.25/2.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s0))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2641,plain,
% 2.25/2.44 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s0)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2640, 2639])).
% 2.25/2.44 tff(2642,plain,
% 2.25/2.44 ($false),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2641, 297, 2638, 89])).
% 2.25/2.44 tff(2643,plain,(p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.44 tff(2644,plain,
% 2.25/2.44 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s1))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2645,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s1))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2646,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s1)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2645, 2644])).
% 2.25/2.44 tff(2647,plain,
% 2.25/2.44 (p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s1)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2646, 203, 2643])).
% 2.25/2.44 tff(2648,plain,
% 2.25/2.44 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s0))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2649,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s0))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2650,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s0)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 2.25/2.44 tff(2651,plain,
% 2.25/2.44 (p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s0)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2650, 217, 2647])).
% 2.25/2.44 tff(2652,plain,
% 2.25/2.44 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s1))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2653,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s1))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2654,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s1)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2653, 2652])).
% 2.25/2.44 tff(2655,plain,
% 2.25/2.44 ((~p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s1)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2654, 203])).
% 2.25/2.44 tff(2656,plain,
% 2.25/2.44 (p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s1)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2655, 2651])).
% 2.25/2.44 tff(2657,plain,
% 2.25/2.44 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s0))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2658,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s0))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2659,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s0)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2658, 2657])).
% 2.25/2.44 tff(2660,plain,
% 2.25/2.44 (p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s0)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2659, 232, 2656])).
% 2.25/2.44 tff(2661,plain,
% 2.25/2.44 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s1))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2662,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s1))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2663,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s1)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2662, 2661])).
% 2.25/2.44 tff(2664,plain,
% 2.25/2.44 (p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s1)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2663, 203, 2660])).
% 2.25/2.44 tff(2665,plain,
% 2.25/2.44 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s0))),
% 2.25/2.44 inference(rewrite,[status(thm)],[])).
% 2.25/2.44 tff(2666,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s0))),
% 2.25/2.44 inference(quant_inst,[status(thm)],[])).
% 2.25/2.44 tff(2667,plain,
% 2.25/2.44 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s0)),
% 2.25/2.44 inference(modus_ponens,[status(thm)],[2666, 2665])).
% 2.25/2.44 tff(2668,plain,
% 2.25/2.44 (p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s0)),
% 2.25/2.44 inference(unit_resolution,[status(thm)],[2667, 217, 2664])).
% 2.25/2.45 tff(2669,plain,
% 2.25/2.45 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s1))),
% 2.25/2.45 inference(rewrite,[status(thm)],[])).
% 2.25/2.45 tff(2670,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s1))),
% 2.25/2.45 inference(quant_inst,[status(thm)],[])).
% 2.25/2.45 tff(2671,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s1)),
% 2.25/2.45 inference(modus_ponens,[status(thm)],[2670, 2669])).
% 2.25/2.45 tff(2672,plain,
% 2.25/2.45 (p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s1)),
% 2.25/2.45 inference(unit_resolution,[status(thm)],[2671, 203, 2668])).
% 2.25/2.45 tff(2673,plain,
% 2.25/2.45 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s0))),
% 2.25/2.45 inference(rewrite,[status(thm)],[])).
% 2.25/2.45 tff(2674,plain,
% 2.25/2.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s0))),
% 2.25/2.45 inference(quant_inst,[status(thm)],[])).
% 2.25/2.45 tff(2675,plain,
% 2.25/2.45 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s0)),
% 2.25/2.45 inference(modus_ponens,[status(thm)],[2674, 2673])).
% 2.25/2.45 tff(2676,plain,
% 2.25/2.45 (p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s0)),
% 2.25/2.45 inference(unit_resolution,[status(thm)],[2675, 255, 2672])).
% 2.25/2.45 tff(2677,plain,
% 2.25/2.45 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s1))),
% 2.25/2.45 inference(rewrite,[status(thm)],[])).
% 2.25/2.45 tff(2678,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s1))),
% 2.25/2.45 inference(quant_inst,[status(thm)],[])).
% 2.25/2.45 tff(2679,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s1)),
% 2.25/2.45 inference(modus_ponens,[status(thm)],[2678, 2677])).
% 2.25/2.45 tff(2680,plain,
% 2.25/2.45 (p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s1)),
% 2.25/2.45 inference(unit_resolution,[status(thm)],[2679, 203, 2676])).
% 2.25/2.45 tff(2681,plain,
% 2.25/2.45 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s0))),
% 2.25/2.45 inference(rewrite,[status(thm)],[])).
% 2.25/2.45 tff(2682,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s0))),
% 2.25/2.45 inference(quant_inst,[status(thm)],[])).
% 2.25/2.45 tff(2683,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s0)),
% 2.25/2.45 inference(modus_ponens,[status(thm)],[2682, 2681])).
% 2.25/2.45 tff(2684,plain,
% 2.25/2.45 (p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s0)),
% 2.25/2.45 inference(unit_resolution,[status(thm)],[2683, 217, 2680])).
% 2.25/2.45 tff(2685,plain,
% 2.25/2.45 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s1))),
% 2.25/2.45 inference(rewrite,[status(thm)],[])).
% 2.25/2.45 tff(2686,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s1))),
% 2.25/2.45 inference(quant_inst,[status(thm)],[])).
% 2.25/2.45 tff(2687,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s1)),
% 2.25/2.45 inference(modus_ponens,[status(thm)],[2686, 2685])).
% 2.25/2.45 tff(2688,plain,
% 2.25/2.45 (p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s1)),
% 2.25/2.45 inference(unit_resolution,[status(thm)],[2687, 203, 2684])).
% 2.25/2.45 tff(2689,plain,
% 2.25/2.45 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s0))),
% 2.25/2.45 inference(rewrite,[status(thm)],[])).
% 2.25/2.45 tff(2690,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s0))),
% 2.25/2.45 inference(quant_inst,[status(thm)],[])).
% 2.25/2.45 tff(2691,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s0)),
% 2.25/2.45 inference(modus_ponens,[status(thm)],[2690, 2689])).
% 2.25/2.45 tff(2692,plain,
% 2.25/2.45 (p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s0)),
% 2.25/2.45 inference(unit_resolution,[status(thm)],[2691, 232, 2688])).
% 2.25/2.45 tff(2693,plain,
% 2.25/2.45 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s1))),
% 2.25/2.45 inference(rewrite,[status(thm)],[])).
% 2.25/2.45 tff(2694,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s1))),
% 2.25/2.45 inference(quant_inst,[status(thm)],[])).
% 2.25/2.45 tff(2695,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s1)),
% 2.25/2.45 inference(modus_ponens,[status(thm)],[2694, 2693])).
% 2.25/2.45 tff(2696,plain,
% 2.25/2.45 ($false),
% 2.25/2.45 inference(unit_resolution,[status(thm)],[2695, 203, 2692, 88])).
% 2.25/2.45 tff(2697,plain,(p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.45 tff(2698,plain,
% 2.25/2.45 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s0))),
% 2.25/2.45 inference(rewrite,[status(thm)],[])).
% 2.25/2.45 tff(2699,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s0))),
% 2.25/2.45 inference(quant_inst,[status(thm)],[])).
% 2.25/2.45 tff(2700,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s0)),
% 2.25/2.45 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 2.25/2.45 tff(2701,plain,
% 2.25/2.45 ($false),
% 2.25/2.45 inference(unit_resolution,[status(thm)],[2700, 217, 2697, 87])).
% 2.25/2.45 tff(2702,plain,(p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.45 tff(2703,plain,
% 2.25/2.45 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s1))),
% 2.25/2.45 inference(rewrite,[status(thm)],[])).
% 2.25/2.45 tff(2704,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s1))),
% 2.25/2.45 inference(quant_inst,[status(thm)],[])).
% 2.25/2.45 tff(2705,plain,
% 2.25/2.45 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s1)),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 2.25/2.46 tff(2706,plain,
% 2.25/2.46 (p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s1)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[2705, 203, 2702])).
% 2.25/2.46 tff(2707,plain,
% 2.25/2.46 (((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s0))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(2708,plain,
% 2.25/2.46 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s0))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(2709,plain,
% 2.25/2.46 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s1, s0, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s0)),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 2.25/2.46 tff(2710,plain,
% 2.25/2.46 ($false),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[2709, 515, 2706, 86])).
% 2.25/2.46 tff(2711,plain,(p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.46 tff(2712,plain,
% 2.25/2.46 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s1))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(2713,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s1))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(2714,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s1)),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 2.25/2.46 tff(2715,plain,
% 2.25/2.46 (p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s1)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[2714, 203, 2711])).
% 2.25/2.46 tff(2716,plain,
% 2.25/2.46 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s0))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(2717,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s0))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(2718,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s0)),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[2717, 2716])).
% 2.25/2.46 tff(2719,plain,
% 2.25/2.46 (p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s0)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[2718, 217, 2715])).
% 2.25/2.46 tff(2720,plain,
% 2.25/2.46 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s1))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(2721,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s1))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(2722,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s1)),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[2721, 2720])).
% 2.25/2.46 tff(2723,plain,
% 2.25/2.46 (p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s1)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[2722, 203, 2719])).
% 2.25/2.46 tff(2724,plain,
% 2.25/2.46 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s0))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(2725,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s0))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(2726,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s0)),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[2725, 2724])).
% 2.25/2.46 tff(2727,plain,
% 2.25/2.46 ($false),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[2726, 232, 2723, 85])).
% 2.25/2.46 tff(2728,plain,(p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.25/2.46 tff(2729,plain,
% 2.25/2.46 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s1))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(2730,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s1))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(2731,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s1)),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[2730, 2729])).
% 2.25/2.46 tff(2732,plain,
% 2.25/2.46 (p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s1)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[2731, 203, 2728])).
% 2.25/2.46 tff(2733,plain,
% 2.25/2.46 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s0))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(2734,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s0))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(2735,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s0)),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[2734, 2733])).
% 2.25/2.46 tff(2736,plain,
% 2.25/2.46 (p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s0)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[2735, 217, 2732])).
% 2.25/2.46 tff(2737,plain,
% 2.25/2.46 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s1))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(2738,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s1))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.25/2.46 tff(2739,plain,
% 2.25/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s1)),
% 2.25/2.46 inference(modus_ponens,[status(thm)],[2738, 2737])).
% 2.25/2.46 tff(2740,plain,
% 2.25/2.46 ((~p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s1)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[2739, 203])).
% 2.25/2.46 tff(2741,plain,
% 2.25/2.46 (p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s1)),
% 2.25/2.46 inference(unit_resolution,[status(thm)],[2740, 2736])).
% 2.25/2.46 tff(2742,plain,
% 2.25/2.46 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s0))),
% 2.25/2.46 inference(rewrite,[status(thm)],[])).
% 2.25/2.46 tff(2743,plain,
% 2.25/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s0))),
% 2.25/2.46 inference(quant_inst,[status(thm)],[])).
% 2.31/2.46 tff(2744,plain,
% 2.31/2.46 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s0)),
% 2.31/2.46 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 2.31/2.46 tff(2745,plain,
% 2.31/2.46 (p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s0)),
% 2.31/2.46 inference(unit_resolution,[status(thm)],[2744, 255, 2741])).
% 2.31/2.46 tff(2746,plain,
% 2.31/2.46 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s1))),
% 2.31/2.46 inference(rewrite,[status(thm)],[])).
% 2.31/2.46 tff(2747,plain,
% 2.31/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s1))),
% 2.31/2.46 inference(quant_inst,[status(thm)],[])).
% 2.31/2.46 tff(2748,plain,
% 2.31/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s1)),
% 2.31/2.46 inference(modus_ponens,[status(thm)],[2747, 2746])).
% 2.31/2.46 tff(2749,plain,
% 2.31/2.46 (p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s1)),
% 2.31/2.46 inference(unit_resolution,[status(thm)],[2748, 203, 2745])).
% 2.31/2.46 tff(2750,plain,
% 2.31/2.46 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s0))),
% 2.31/2.46 inference(rewrite,[status(thm)],[])).
% 2.31/2.46 tff(2751,plain,
% 2.31/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s0))),
% 2.31/2.46 inference(quant_inst,[status(thm)],[])).
% 2.31/2.46 tff(2752,plain,
% 2.31/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s0)),
% 2.31/2.46 inference(modus_ponens,[status(thm)],[2751, 2750])).
% 2.31/2.46 tff(2753,plain,
% 2.31/2.46 (p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s0)),
% 2.31/2.46 inference(unit_resolution,[status(thm)],[2752, 217, 2749])).
% 2.31/2.46 tff(2754,plain,
% 2.31/2.46 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s1))),
% 2.31/2.46 inference(rewrite,[status(thm)],[])).
% 2.31/2.46 tff(2755,plain,
% 2.31/2.46 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s1))),
% 2.31/2.47 inference(quant_inst,[status(thm)],[])).
% 2.31/2.47 tff(2756,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s1)),
% 2.31/2.47 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 2.31/2.47 tff(2757,plain,
% 2.31/2.47 (p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s1)),
% 2.31/2.47 inference(unit_resolution,[status(thm)],[2756, 203, 2753])).
% 2.31/2.47 tff(2758,plain,
% 2.31/2.47 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s0))),
% 2.31/2.47 inference(rewrite,[status(thm)],[])).
% 2.31/2.47 tff(2759,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s0))),
% 2.31/2.47 inference(quant_inst,[status(thm)],[])).
% 2.31/2.47 tff(2760,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s0)),
% 2.31/2.47 inference(modus_ponens,[status(thm)],[2759, 2758])).
% 2.31/2.47 tff(2761,plain,
% 2.31/2.47 (p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s0)),
% 2.31/2.47 inference(unit_resolution,[status(thm)],[2760, 232, 2757])).
% 2.31/2.47 tff(2762,plain,
% 2.31/2.47 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s1))),
% 2.31/2.47 inference(rewrite,[status(thm)],[])).
% 2.31/2.47 tff(2763,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s1))),
% 2.31/2.47 inference(quant_inst,[status(thm)],[])).
% 2.31/2.47 tff(2764,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s1)),
% 2.31/2.47 inference(modus_ponens,[status(thm)],[2763, 2762])).
% 2.31/2.47 tff(2765,plain,
% 2.31/2.47 (p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s1)),
% 2.31/2.47 inference(unit_resolution,[status(thm)],[2764, 203, 2761])).
% 2.31/2.47 tff(2766,plain,
% 2.31/2.47 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s0))),
% 2.31/2.47 inference(rewrite,[status(thm)],[])).
% 2.31/2.47 tff(2767,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s0))),
% 2.31/2.47 inference(quant_inst,[status(thm)],[])).
% 2.31/2.47 tff(2768,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s0)),
% 2.31/2.47 inference(modus_ponens,[status(thm)],[2767, 2766])).
% 2.31/2.47 tff(2769,plain,
% 2.31/2.47 (p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s0)),
% 2.31/2.47 inference(unit_resolution,[status(thm)],[2768, 217, 2765])).
% 2.31/2.47 tff(2770,plain,
% 2.31/2.47 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s1))),
% 2.31/2.47 inference(rewrite,[status(thm)],[])).
% 2.31/2.47 tff(2771,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s1))),
% 2.31/2.47 inference(quant_inst,[status(thm)],[])).
% 2.31/2.47 tff(2772,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s1)),
% 2.31/2.47 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 2.31/2.47 tff(2773,plain,
% 2.31/2.47 (p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s1)),
% 2.31/2.47 inference(unit_resolution,[status(thm)],[2772, 203, 2769])).
% 2.31/2.47 tff(2774,plain,
% 2.31/2.47 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s0))),
% 2.31/2.47 inference(rewrite,[status(thm)],[])).
% 2.31/2.47 tff(2775,plain,
% 2.31/2.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s0))),
% 2.31/2.47 inference(quant_inst,[status(thm)],[])).
% 2.31/2.47 tff(2776,plain,
% 2.31/2.47 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s0)),
% 2.31/2.47 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 2.31/2.47 tff(2777,plain,
% 2.31/2.47 (p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s0)),
% 2.31/2.47 inference(unit_resolution,[status(thm)],[2776, 297, 2773])).
% 2.31/2.47 tff(2778,plain,
% 2.31/2.47 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s1))),
% 2.31/2.47 inference(rewrite,[status(thm)],[])).
% 2.31/2.47 tff(2779,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s1))),
% 2.31/2.47 inference(quant_inst,[status(thm)],[])).
% 2.31/2.47 tff(2780,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s1)),
% 2.31/2.47 inference(modus_ponens,[status(thm)],[2779, 2778])).
% 2.31/2.47 tff(2781,plain,
% 2.31/2.47 ($false),
% 2.31/2.47 inference(unit_resolution,[status(thm)],[2780, 203, 2777, 84])).
% 2.31/2.47 tff(2782,plain,(p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.47 tff(2783,plain,
% 2.31/2.47 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s0))),
% 2.31/2.47 inference(rewrite,[status(thm)],[])).
% 2.31/2.47 tff(2784,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s0))),
% 2.31/2.47 inference(quant_inst,[status(thm)],[])).
% 2.31/2.47 tff(2785,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s0)),
% 2.31/2.47 inference(modus_ponens,[status(thm)],[2784, 2783])).
% 2.31/2.47 tff(2786,plain,
% 2.31/2.47 ($false),
% 2.31/2.47 inference(unit_resolution,[status(thm)],[2785, 217, 2782, 83])).
% 2.31/2.47 tff(2787,plain,(p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.47 tff(2788,plain,
% 2.31/2.47 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s1))),
% 2.31/2.47 inference(rewrite,[status(thm)],[])).
% 2.31/2.47 tff(2789,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s1))),
% 2.31/2.47 inference(quant_inst,[status(thm)],[])).
% 2.31/2.47 tff(2790,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s1)),
% 2.31/2.47 inference(modus_ponens,[status(thm)],[2789, 2788])).
% 2.31/2.47 tff(2791,plain,
% 2.31/2.47 (p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s1)),
% 2.31/2.47 inference(unit_resolution,[status(thm)],[2790, 203, 2787])).
% 2.31/2.47 tff(2792,plain,
% 2.31/2.47 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s0))),
% 2.31/2.47 inference(rewrite,[status(thm)],[])).
% 2.31/2.47 tff(2793,plain,
% 2.31/2.47 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s0))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2794,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s0)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2793, 2792])).
% 2.31/2.48 tff(2795,plain,
% 2.31/2.48 ($false),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2794, 232, 2791, 82])).
% 2.31/2.48 tff(2796,plain,(p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.48 tff(2797,plain,
% 2.31/2.48 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s1))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2798,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s1))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2799,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s1)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2798, 2797])).
% 2.31/2.48 tff(2800,plain,
% 2.31/2.48 (p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s1)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2799, 203, 2796])).
% 2.31/2.48 tff(2801,plain,
% 2.31/2.48 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s0))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2802,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s0))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2803,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s0)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2802, 2801])).
% 2.31/2.48 tff(2804,plain,
% 2.31/2.48 (p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s0)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2803, 217, 2800])).
% 2.31/2.48 tff(2805,plain,
% 2.31/2.48 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s1))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2806,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s1))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2807,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s1)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 2.31/2.48 tff(2808,plain,
% 2.31/2.48 (p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s1)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2807, 203, 2804])).
% 2.31/2.48 tff(2809,plain,
% 2.31/2.48 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s0))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2810,plain,
% 2.31/2.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s0))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2811,plain,
% 2.31/2.48 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s0)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 2.31/2.48 tff(2812,plain,
% 2.31/2.48 ($false),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2811, 255, 2808, 81])).
% 2.31/2.48 tff(2813,plain,(p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.48 tff(2814,plain,
% 2.31/2.48 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s1))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2815,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s1))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2816,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s1)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2815, 2814])).
% 2.31/2.48 tff(2817,plain,
% 2.31/2.48 (p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s1)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2816, 203, 2813])).
% 2.31/2.48 tff(2818,plain,
% 2.31/2.48 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s0))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2819,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s0))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2820,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s0)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2819, 2818])).
% 2.31/2.48 tff(2821,plain,
% 2.31/2.48 (p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s0)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2820, 217, 2817])).
% 2.31/2.48 tff(2822,plain,
% 2.31/2.48 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s1))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2823,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s1))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2824,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s1)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2823, 2822])).
% 2.31/2.48 tff(2825,plain,
% 2.31/2.48 ((~p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s1)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2824, 203])).
% 2.31/2.48 tff(2826,plain,
% 2.31/2.48 (p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s1)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2825, 2821])).
% 2.31/2.48 tff(2827,plain,
% 2.31/2.48 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s0))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2828,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s0))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2829,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s0)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 2.31/2.48 tff(2830,plain,
% 2.31/2.48 (p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s0)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2829, 232, 2826])).
% 2.31/2.48 tff(2831,plain,
% 2.31/2.48 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s1))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2832,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s1))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2833,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s1)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2832, 2831])).
% 2.31/2.48 tff(2834,plain,
% 2.31/2.48 (p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s1)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2833, 203, 2830])).
% 2.31/2.48 tff(2835,plain,
% 2.31/2.48 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s0))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2836,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s0))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2837,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s0)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2836, 2835])).
% 2.31/2.48 tff(2838,plain,
% 2.31/2.48 (p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s0)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2837, 217, 2834])).
% 2.31/2.48 tff(2839,plain,
% 2.31/2.48 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s1))),
% 2.31/2.48 inference(rewrite,[status(thm)],[])).
% 2.31/2.48 tff(2840,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s1))),
% 2.31/2.48 inference(quant_inst,[status(thm)],[])).
% 2.31/2.48 tff(2841,plain,
% 2.31/2.48 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s1)),
% 2.31/2.48 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 2.31/2.48 tff(2842,plain,
% 2.31/2.48 (p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s1)),
% 2.31/2.48 inference(unit_resolution,[status(thm)],[2841, 203, 2838])).
% 2.31/2.48 tff(2843,plain,
% 2.31/2.48 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s0))),
% 2.31/2.49 inference(rewrite,[status(thm)],[])).
% 2.31/2.49 tff(2844,plain,
% 2.31/2.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s0))),
% 2.31/2.49 inference(quant_inst,[status(thm)],[])).
% 2.31/2.49 tff(2845,plain,
% 2.31/2.49 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s0, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s0)),
% 2.31/2.49 inference(modus_ponens,[status(thm)],[2844, 2843])).
% 2.31/2.49 tff(2846,plain,
% 2.31/2.49 (p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s0)),
% 2.31/2.49 inference(unit_resolution,[status(thm)],[2845, 371, 2842])).
% 2.31/2.49 tff(2847,plain,
% 2.31/2.49 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s1))),
% 2.31/2.49 inference(rewrite,[status(thm)],[])).
% 2.31/2.49 tff(2848,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s1))),
% 2.31/2.49 inference(quant_inst,[status(thm)],[])).
% 2.31/2.49 tff(2849,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s1)),
% 2.31/2.49 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 2.31/2.49 tff(2850,plain,
% 2.31/2.49 (p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s1)),
% 2.31/2.49 inference(unit_resolution,[status(thm)],[2849, 203, 2846])).
% 2.31/2.49 tff(2851,plain,
% 2.31/2.49 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s0))),
% 2.31/2.49 inference(rewrite,[status(thm)],[])).
% 2.31/2.49 tff(2852,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s0))),
% 2.31/2.49 inference(quant_inst,[status(thm)],[])).
% 2.31/2.49 tff(2853,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s0)),
% 2.31/2.49 inference(modus_ponens,[status(thm)],[2852, 2851])).
% 2.31/2.49 tff(2854,plain,
% 2.31/2.49 (p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s0)),
% 2.31/2.49 inference(unit_resolution,[status(thm)],[2853, 217, 2850])).
% 2.31/2.49 tff(2855,plain,
% 2.31/2.49 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s1))),
% 2.31/2.49 inference(rewrite,[status(thm)],[])).
% 2.31/2.49 tff(2856,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s1))),
% 2.31/2.49 inference(quant_inst,[status(thm)],[])).
% 2.31/2.49 tff(2857,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s1)),
% 2.31/2.49 inference(modus_ponens,[status(thm)],[2856, 2855])).
% 2.31/2.49 tff(2858,plain,
% 2.31/2.49 (p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s1)),
% 2.31/2.49 inference(unit_resolution,[status(thm)],[2857, 203, 2854])).
% 2.31/2.49 tff(2859,plain,
% 2.31/2.49 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s0))),
% 2.31/2.49 inference(rewrite,[status(thm)],[])).
% 2.31/2.49 tff(2860,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s0))),
% 2.31/2.49 inference(quant_inst,[status(thm)],[])).
% 2.31/2.49 tff(2861,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s0)),
% 2.31/2.49 inference(modus_ponens,[status(thm)],[2860, 2859])).
% 2.31/2.49 tff(2862,plain,
% 2.31/2.49 (p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s0)),
% 2.31/2.49 inference(unit_resolution,[status(thm)],[2861, 232, 2858])).
% 2.31/2.49 tff(2863,plain,
% 2.31/2.49 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s1))),
% 2.31/2.49 inference(rewrite,[status(thm)],[])).
% 2.31/2.49 tff(2864,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s1))),
% 2.31/2.49 inference(quant_inst,[status(thm)],[])).
% 2.31/2.49 tff(2865,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s1)),
% 2.31/2.49 inference(modus_ponens,[status(thm)],[2864, 2863])).
% 2.31/2.49 tff(2866,plain,
% 2.31/2.49 ($false),
% 2.31/2.49 inference(unit_resolution,[status(thm)],[2865, 203, 2862, 80])).
% 2.31/2.49 tff(2867,plain,(p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.49 tff(2868,plain,
% 2.31/2.49 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s0))),
% 2.31/2.49 inference(rewrite,[status(thm)],[])).
% 2.31/2.49 tff(2869,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s0))),
% 2.31/2.49 inference(quant_inst,[status(thm)],[])).
% 2.31/2.49 tff(2870,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s0)),
% 2.31/2.49 inference(modus_ponens,[status(thm)],[2869, 2868])).
% 2.31/2.49 tff(2871,plain,
% 2.31/2.49 ($false),
% 2.31/2.49 inference(unit_resolution,[status(thm)],[2870, 217, 2867, 79])).
% 2.31/2.49 tff(2872,plain,(p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.49 tff(2873,plain,
% 2.31/2.49 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s1))),
% 2.31/2.49 inference(rewrite,[status(thm)],[])).
% 2.31/2.49 tff(2874,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s1))),
% 2.31/2.49 inference(quant_inst,[status(thm)],[])).
% 2.31/2.49 tff(2875,plain,
% 2.31/2.49 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s1)),
% 2.31/2.49 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 2.31/2.49 tff(2876,plain,
% 2.31/2.49 (p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s1)),
% 2.31/2.49 inference(unit_resolution,[status(thm)],[2875, 203, 2872])).
% 2.31/2.49 tff(2877,plain,
% 2.31/2.49 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s0))),
% 2.31/2.49 inference(rewrite,[status(thm)],[])).
% 2.31/2.49 tff(2878,plain,
% 2.31/2.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s0))),
% 2.31/2.49 inference(quant_inst,[status(thm)],[])).
% 2.31/2.49 tff(2879,plain,
% 2.31/2.49 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s0)),
% 2.31/2.49 inference(modus_ponens,[status(thm)],[2878, 2877])).
% 2.31/2.49 tff(2880,plain,
% 2.31/2.49 ($false),
% 2.31/2.49 inference(unit_resolution,[status(thm)],[2879, 255, 2876, 78])).
% 2.31/2.49 tff(2881,plain,(p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.49 tff(2882,plain,
% 2.31/2.49 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s1))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.50 tff(2883,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s1))),
% 2.31/2.50 inference(quant_inst,[status(thm)],[])).
% 2.31/2.50 tff(2884,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s1)),
% 2.31/2.50 inference(modus_ponens,[status(thm)],[2883, 2882])).
% 2.31/2.50 tff(2885,plain,
% 2.31/2.50 (p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s1)),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2884, 203, 2881])).
% 2.31/2.50 tff(2886,plain,
% 2.31/2.50 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s0))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.50 tff(2887,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s0))),
% 2.31/2.50 inference(quant_inst,[status(thm)],[])).
% 2.31/2.50 tff(2888,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s0)),
% 2.31/2.50 inference(modus_ponens,[status(thm)],[2887, 2886])).
% 2.31/2.50 tff(2889,plain,
% 2.31/2.50 (p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s0)),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2888, 217, 2885])).
% 2.31/2.50 tff(2890,plain,
% 2.31/2.50 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s1))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.50 tff(2891,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s1))),
% 2.31/2.50 inference(quant_inst,[status(thm)],[])).
% 2.31/2.50 tff(2892,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s1)),
% 2.31/2.50 inference(modus_ponens,[status(thm)],[2891, 2890])).
% 2.31/2.50 tff(2893,plain,
% 2.31/2.50 (p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s1)),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2892, 203, 2889])).
% 2.31/2.50 tff(2894,plain,
% 2.31/2.50 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s0))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.50 tff(2895,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s0))),
% 2.31/2.50 inference(quant_inst,[status(thm)],[])).
% 2.31/2.50 tff(2896,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s0)),
% 2.31/2.50 inference(modus_ponens,[status(thm)],[2895, 2894])).
% 2.31/2.50 tff(2897,plain,
% 2.31/2.50 ($false),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2896, 232, 2893, 77])).
% 2.31/2.50 tff(2898,plain,(p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.50 tff(2899,plain,
% 2.31/2.50 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s1))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.50 tff(2900,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s1))),
% 2.31/2.50 inference(quant_inst,[status(thm)],[])).
% 2.31/2.50 tff(2901,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s1)),
% 2.31/2.50 inference(modus_ponens,[status(thm)],[2900, 2899])).
% 2.31/2.50 tff(2902,plain,
% 2.31/2.50 (p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s1)),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2901, 203, 2898])).
% 2.31/2.50 tff(2903,plain,
% 2.31/2.50 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s0))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.50 tff(2904,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s0))),
% 2.31/2.50 inference(quant_inst,[status(thm)],[])).
% 2.31/2.50 tff(2905,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s0)),
% 2.31/2.50 inference(modus_ponens,[status(thm)],[2904, 2903])).
% 2.31/2.50 tff(2906,plain,
% 2.31/2.50 (p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s0)),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2905, 217, 2902])).
% 2.31/2.50 tff(2907,plain,
% 2.31/2.50 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s1))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.50 tff(2908,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s1))),
% 2.31/2.50 inference(quant_inst,[status(thm)],[])).
% 2.31/2.50 tff(2909,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s1)),
% 2.31/2.50 inference(modus_ponens,[status(thm)],[2908, 2907])).
% 2.31/2.50 tff(2910,plain,
% 2.31/2.50 ((~p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s1)),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2909, 203])).
% 2.31/2.50 tff(2911,plain,
% 2.31/2.50 (p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s1)),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2910, 2906])).
% 2.31/2.50 tff(2912,plain,
% 2.31/2.50 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s0))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.50 tff(2913,plain,
% 2.31/2.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s0))),
% 2.31/2.50 inference(quant_inst,[status(thm)],[])).
% 2.31/2.50 tff(2914,plain,
% 2.31/2.50 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s0)),
% 2.31/2.50 inference(modus_ponens,[status(thm)],[2913, 2912])).
% 2.31/2.50 tff(2915,plain,
% 2.31/2.50 (p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s0)),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2914, 297, 2911])).
% 2.31/2.50 tff(2916,plain,
% 2.31/2.50 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s1))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.50 tff(2917,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s1))),
% 2.31/2.50 inference(quant_inst,[status(thm)],[])).
% 2.31/2.50 tff(2918,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s1)),
% 2.31/2.50 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 2.31/2.50 tff(2919,plain,
% 2.31/2.50 (p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s1)),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2918, 203, 2915])).
% 2.31/2.50 tff(2920,plain,
% 2.31/2.50 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s0))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.50 tff(2921,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s0))),
% 2.31/2.50 inference(quant_inst,[status(thm)],[])).
% 2.31/2.50 tff(2922,plain,
% 2.31/2.50 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s0)),
% 2.31/2.50 inference(modus_ponens,[status(thm)],[2921, 2920])).
% 2.31/2.50 tff(2923,plain,
% 2.31/2.50 (p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s0)),
% 2.31/2.50 inference(unit_resolution,[status(thm)],[2922, 217, 2919])).
% 2.31/2.50 tff(2924,plain,
% 2.31/2.50 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s1))),
% 2.31/2.50 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2925,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s1))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2926,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s1)),
% 2.31/2.51 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 2.31/2.51 tff(2927,plain,
% 2.31/2.51 (p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s1)),
% 2.31/2.51 inference(unit_resolution,[status(thm)],[2926, 203, 2923])).
% 2.31/2.51 tff(2928,plain,
% 2.31/2.51 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s0))),
% 2.31/2.51 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2929,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s0))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2930,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s0)),
% 2.31/2.51 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 2.31/2.51 tff(2931,plain,
% 2.31/2.51 (p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s0)),
% 2.31/2.51 inference(unit_resolution,[status(thm)],[2930, 232, 2927])).
% 2.31/2.51 tff(2932,plain,
% 2.31/2.51 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s1))),
% 2.31/2.51 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2933,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s1))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2934,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s1)),
% 2.31/2.51 inference(modus_ponens,[status(thm)],[2933, 2932])).
% 2.31/2.51 tff(2935,plain,
% 2.31/2.51 (p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s1)),
% 2.31/2.51 inference(unit_resolution,[status(thm)],[2934, 203, 2931])).
% 2.31/2.51 tff(2936,plain,
% 2.31/2.51 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s0))),
% 2.31/2.51 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2937,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s0))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2938,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s0)),
% 2.31/2.51 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 2.31/2.51 tff(2939,plain,
% 2.31/2.51 (p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s0)),
% 2.31/2.51 inference(unit_resolution,[status(thm)],[2938, 217, 2935])).
% 2.31/2.51 tff(2940,plain,
% 2.31/2.51 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s1))),
% 2.31/2.51 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2941,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s1))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2942,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s1)),
% 2.31/2.51 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 2.31/2.51 tff(2943,plain,
% 2.31/2.51 (p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s1)),
% 2.31/2.51 inference(unit_resolution,[status(thm)],[2942, 203, 2939])).
% 2.31/2.51 tff(2944,plain,
% 2.31/2.51 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s0))),
% 2.31/2.51 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2945,plain,
% 2.31/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s0))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2946,plain,
% 2.31/2.51 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s0)),
% 2.31/2.51 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 2.31/2.51 tff(2947,plain,
% 2.31/2.51 (p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s0)),
% 2.31/2.51 inference(unit_resolution,[status(thm)],[2946, 255, 2943])).
% 2.31/2.51 tff(2948,plain,
% 2.31/2.51 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s1))),
% 2.31/2.51 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2949,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s1))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2950,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s1)),
% 2.31/2.51 inference(modus_ponens,[status(thm)],[2949, 2948])).
% 2.31/2.51 tff(2951,plain,
% 2.31/2.51 ($false),
% 2.31/2.51 inference(unit_resolution,[status(thm)],[2950, 203, 2947, 76])).
% 2.31/2.51 tff(2952,plain,(p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.51 tff(2953,plain,
% 2.31/2.51 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s0))),
% 2.31/2.51 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2954,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s0))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2955,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s0)),
% 2.31/2.51 inference(modus_ponens,[status(thm)],[2954, 2953])).
% 2.31/2.51 tff(2956,plain,
% 2.31/2.51 ($false),
% 2.31/2.51 inference(unit_resolution,[status(thm)],[2955, 217, 2952, 75])).
% 2.31/2.51 tff(2957,plain,(p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.51 tff(2958,plain,
% 2.31/2.51 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s1))),
% 2.31/2.51 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2959,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s1))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2960,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s1)),
% 2.31/2.51 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 2.31/2.51 tff(2961,plain,
% 2.31/2.51 (p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s1)),
% 2.31/2.51 inference(unit_resolution,[status(thm)],[2960, 203, 2957])).
% 2.31/2.51 tff(2962,plain,
% 2.31/2.51 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s0))),
% 2.31/2.51 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2963,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s0))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2964,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s0)),
% 2.31/2.51 inference(modus_ponens,[status(thm)],[2963, 2962])).
% 2.31/2.51 tff(2965,plain,
% 2.31/2.51 ($false),
% 2.31/2.51 inference(unit_resolution,[status(thm)],[2964, 232, 2961, 74])).
% 2.31/2.51 tff(2966,plain,(p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.51 tff(2967,plain,
% 2.31/2.51 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s1))),
% 2.31/2.51 inference(rewrite,[status(thm)],[])).
% 2.31/2.51 tff(2968,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s1))),
% 2.31/2.51 inference(quant_inst,[status(thm)],[])).
% 2.31/2.51 tff(2969,plain,
% 2.31/2.51 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s1)),
% 2.31/2.52 inference(modus_ponens,[status(thm)],[2968, 2967])).
% 2.31/2.52 tff(2970,plain,
% 2.31/2.52 (p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s1)),
% 2.31/2.52 inference(unit_resolution,[status(thm)],[2969, 203, 2966])).
% 2.31/2.52 tff(2971,plain,
% 2.31/2.52 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s0))),
% 2.31/2.52 inference(rewrite,[status(thm)],[])).
% 2.31/2.52 tff(2972,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s0))),
% 2.31/2.52 inference(quant_inst,[status(thm)],[])).
% 2.31/2.52 tff(2973,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s0)),
% 2.31/2.52 inference(modus_ponens,[status(thm)],[2972, 2971])).
% 2.31/2.52 tff(2974,plain,
% 2.31/2.52 (p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s0)),
% 2.31/2.52 inference(unit_resolution,[status(thm)],[2973, 217, 2970])).
% 2.31/2.52 tff(2975,plain,
% 2.31/2.52 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s1))),
% 2.31/2.52 inference(rewrite,[status(thm)],[])).
% 2.31/2.52 tff(2976,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s1))),
% 2.31/2.52 inference(quant_inst,[status(thm)],[])).
% 2.31/2.52 tff(2977,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s1)),
% 2.31/2.52 inference(modus_ponens,[status(thm)],[2976, 2975])).
% 2.31/2.52 tff(2978,plain,
% 2.31/2.52 (p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s1)),
% 2.31/2.52 inference(unit_resolution,[status(thm)],[2977, 203, 2974])).
% 2.31/2.52 tff(2979,plain,
% 2.31/2.52 (((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | (~p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s0))),
% 2.31/2.52 inference(rewrite,[status(thm)],[])).
% 2.31/2.52 tff(2980,plain,
% 2.31/2.52 ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s0))),
% 2.31/2.52 inference(quant_inst,[status(thm)],[])).
% 2.31/2.52 tff(2981,plain,
% 2.31/2.52 ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | (~p(s1, s0, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s0)),
% 2.31/2.52 inference(modus_ponens,[status(thm)],[2980, 2979])).
% 2.31/2.52 tff(2982,plain,
% 2.31/2.52 ($false),
% 2.31/2.52 inference(unit_resolution,[status(thm)],[2981, 793, 2978, 73])).
% 2.31/2.52 tff(2983,plain,(p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.52 tff(2984,plain,
% 2.31/2.52 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s1))),
% 2.31/2.52 inference(rewrite,[status(thm)],[])).
% 2.31/2.52 tff(2985,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s1))),
% 2.31/2.52 inference(quant_inst,[status(thm)],[])).
% 2.31/2.52 tff(2986,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s1)),
% 2.31/2.52 inference(modus_ponens,[status(thm)],[2985, 2984])).
% 2.31/2.52 tff(2987,plain,
% 2.31/2.52 (p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s1)),
% 2.31/2.52 inference(unit_resolution,[status(thm)],[2986, 203, 2983])).
% 2.31/2.52 tff(2988,plain,
% 2.31/2.52 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s0))),
% 2.31/2.52 inference(rewrite,[status(thm)],[])).
% 2.31/2.52 tff(2989,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s0))),
% 2.31/2.52 inference(quant_inst,[status(thm)],[])).
% 2.31/2.52 tff(2990,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s0)),
% 2.31/2.52 inference(modus_ponens,[status(thm)],[2989, 2988])).
% 2.31/2.52 tff(2991,plain,
% 2.31/2.52 (p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s0)),
% 2.31/2.52 inference(unit_resolution,[status(thm)],[2990, 217, 2987])).
% 2.31/2.52 tff(2992,plain,
% 2.31/2.52 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s1))),
% 2.31/2.52 inference(rewrite,[status(thm)],[])).
% 2.31/2.52 tff(2993,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s1))),
% 2.31/2.52 inference(quant_inst,[status(thm)],[])).
% 2.31/2.52 tff(2994,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s1)),
% 2.31/2.52 inference(modus_ponens,[status(thm)],[2993, 2992])).
% 2.31/2.52 tff(2995,plain,
% 2.31/2.52 ((~p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s1)),
% 2.31/2.52 inference(unit_resolution,[status(thm)],[2994, 203])).
% 2.31/2.52 tff(2996,plain,
% 2.31/2.52 (p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s1)),
% 2.31/2.52 inference(unit_resolution,[status(thm)],[2995, 2991])).
% 2.31/2.52 tff(2997,plain,
% 2.31/2.52 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s0))),
% 2.31/2.52 inference(rewrite,[status(thm)],[])).
% 2.31/2.52 tff(2998,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s0))),
% 2.31/2.52 inference(quant_inst,[status(thm)],[])).
% 2.31/2.52 tff(2999,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s0)),
% 2.31/2.52 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 2.31/2.52 tff(3000,plain,
% 2.31/2.52 (p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s0)),
% 2.31/2.52 inference(unit_resolution,[status(thm)],[2999, 232, 2996])).
% 2.31/2.52 tff(3001,plain,
% 2.31/2.52 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s1))),
% 2.31/2.52 inference(rewrite,[status(thm)],[])).
% 2.31/2.52 tff(3002,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s1))),
% 2.31/2.52 inference(quant_inst,[status(thm)],[])).
% 2.31/2.52 tff(3003,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s1)),
% 2.31/2.52 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 2.31/2.52 tff(3004,plain,
% 2.31/2.52 (p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s1)),
% 2.31/2.52 inference(unit_resolution,[status(thm)],[3003, 203, 3000])).
% 2.31/2.52 tff(3005,plain,
% 2.31/2.52 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s0))),
% 2.31/2.52 inference(rewrite,[status(thm)],[])).
% 2.31/2.52 tff(3006,plain,
% 2.31/2.52 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s0))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3007,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s0)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3006, 3005])).
% 2.31/2.53 tff(3008,plain,
% 2.31/2.53 (p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s0)),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3007, 217, 3004])).
% 2.31/2.53 tff(3009,plain,
% 2.31/2.53 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s1))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3010,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s1))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3011,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s1)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3010, 3009])).
% 2.31/2.53 tff(3012,plain,
% 2.31/2.53 (p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s1)),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3011, 203, 3008])).
% 2.31/2.53 tff(3013,plain,
% 2.31/2.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s0))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3014,plain,
% 2.31/2.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s0))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3015,plain,
% 2.31/2.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s0)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3014, 3013])).
% 2.31/2.53 tff(3016,plain,
% 2.31/2.53 (p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s0)),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3015, 255, 3012])).
% 2.31/2.53 tff(3017,plain,
% 2.31/2.53 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s1))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3018,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s1))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3019,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s1)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3018, 3017])).
% 2.31/2.53 tff(3020,plain,
% 2.31/2.53 (p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s1)),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3019, 203, 3016])).
% 2.31/2.53 tff(3021,plain,
% 2.31/2.53 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s0))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3022,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s0))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3023,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s0)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3022, 3021])).
% 2.31/2.53 tff(3024,plain,
% 2.31/2.53 (p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s0)),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3023, 217, 3020])).
% 2.31/2.53 tff(3025,plain,
% 2.31/2.53 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s1))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3026,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s1))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3027,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s1)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3026, 3025])).
% 2.31/2.53 tff(3028,plain,
% 2.31/2.53 (p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s1)),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3027, 203, 3024])).
% 2.31/2.53 tff(3029,plain,
% 2.31/2.53 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s0))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3030,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s0))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3031,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s0)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3030, 3029])).
% 2.31/2.53 tff(3032,plain,
% 2.31/2.53 (p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s0)),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3031, 232, 3028])).
% 2.31/2.53 tff(3033,plain,
% 2.31/2.53 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s1))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3034,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s1))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3035,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s1)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3034, 3033])).
% 2.31/2.53 tff(3036,plain,
% 2.31/2.53 ($false),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3035, 203, 3032, 72])).
% 2.31/2.53 tff(3037,plain,(p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.53 tff(3038,plain,
% 2.31/2.53 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s0))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3039,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s0))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3040,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s0)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3039, 3038])).
% 2.31/2.53 tff(3041,plain,
% 2.31/2.53 ($false),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3040, 217, 3037, 71])).
% 2.31/2.53 tff(3042,plain,(p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.53 tff(3043,plain,
% 2.31/2.53 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s1))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3044,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s1))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3045,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s1)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3044, 3043])).
% 2.31/2.53 tff(3046,plain,
% 2.31/2.53 (p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s1)),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3045, 203, 3042])).
% 2.31/2.53 tff(3047,plain,
% 2.31/2.53 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s0))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3048,plain,
% 2.31/2.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s0))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3049,plain,
% 2.31/2.53 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s0)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3048, 3047])).
% 2.31/2.53 tff(3050,plain,
% 2.31/2.53 ($false),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3049, 297, 3046, 70])).
% 2.31/2.53 tff(3051,plain,(p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.53 tff(3052,plain,
% 2.31/2.53 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s1))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3053,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s1))),
% 2.31/2.53 inference(quant_inst,[status(thm)],[])).
% 2.31/2.53 tff(3054,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s1)),
% 2.31/2.53 inference(modus_ponens,[status(thm)],[3053, 3052])).
% 2.31/2.53 tff(3055,plain,
% 2.31/2.53 (p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s1)),
% 2.31/2.53 inference(unit_resolution,[status(thm)],[3054, 203, 3051])).
% 2.31/2.53 tff(3056,plain,
% 2.31/2.53 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s0))),
% 2.31/2.53 inference(rewrite,[status(thm)],[])).
% 2.31/2.53 tff(3057,plain,
% 2.31/2.53 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s0))),
% 2.31/2.54 inference(quant_inst,[status(thm)],[])).
% 2.31/2.54 tff(3058,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s0)),
% 2.31/2.54 inference(modus_ponens,[status(thm)],[3057, 3056])).
% 2.31/2.54 tff(3059,plain,
% 2.31/2.54 (p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s0)),
% 2.31/2.54 inference(unit_resolution,[status(thm)],[3058, 217, 3055])).
% 2.31/2.54 tff(3060,plain,
% 2.31/2.54 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s1))),
% 2.31/2.54 inference(rewrite,[status(thm)],[])).
% 2.31/2.54 tff(3061,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s1))),
% 2.31/2.54 inference(quant_inst,[status(thm)],[])).
% 2.31/2.54 tff(3062,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s1)),
% 2.31/2.54 inference(modus_ponens,[status(thm)],[3061, 3060])).
% 2.31/2.54 tff(3063,plain,
% 2.31/2.54 (p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s1)),
% 2.31/2.54 inference(unit_resolution,[status(thm)],[3062, 203, 3059])).
% 2.31/2.54 tff(3064,plain,
% 2.31/2.54 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s0))),
% 2.31/2.54 inference(rewrite,[status(thm)],[])).
% 2.31/2.54 tff(3065,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s0))),
% 2.31/2.54 inference(quant_inst,[status(thm)],[])).
% 2.31/2.54 tff(3066,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s0)),
% 2.31/2.54 inference(modus_ponens,[status(thm)],[3065, 3064])).
% 2.31/2.54 tff(3067,plain,
% 2.31/2.54 ($false),
% 2.31/2.54 inference(unit_resolution,[status(thm)],[3066, 232, 3063, 69])).
% 2.31/2.54 tff(3068,plain,(p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.54 tff(3069,plain,
% 2.31/2.54 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s1))),
% 2.31/2.54 inference(rewrite,[status(thm)],[])).
% 2.31/2.54 tff(3070,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s1))),
% 2.31/2.54 inference(quant_inst,[status(thm)],[])).
% 2.31/2.54 tff(3071,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s1)),
% 2.31/2.54 inference(modus_ponens,[status(thm)],[3070, 3069])).
% 2.31/2.54 tff(3072,plain,
% 2.31/2.54 (p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s1)),
% 2.31/2.54 inference(unit_resolution,[status(thm)],[3071, 203, 3068])).
% 2.31/2.54 tff(3073,plain,
% 2.31/2.54 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s0))),
% 2.31/2.54 inference(rewrite,[status(thm)],[])).
% 2.31/2.54 tff(3074,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s0))),
% 2.31/2.54 inference(quant_inst,[status(thm)],[])).
% 2.31/2.54 tff(3075,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s0)),
% 2.31/2.54 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 2.31/2.54 tff(3076,plain,
% 2.31/2.54 (p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s0)),
% 2.31/2.54 inference(unit_resolution,[status(thm)],[3075, 217, 3072])).
% 2.31/2.54 tff(3077,plain,
% 2.31/2.54 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s1))),
% 2.31/2.54 inference(rewrite,[status(thm)],[])).
% 2.31/2.54 tff(3078,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s1))),
% 2.31/2.54 inference(quant_inst,[status(thm)],[])).
% 2.31/2.54 tff(3079,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s1)),
% 2.31/2.54 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 2.31/2.54 tff(3080,plain,
% 2.31/2.54 ((~p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s1)),
% 2.31/2.54 inference(unit_resolution,[status(thm)],[3079, 203])).
% 2.31/2.54 tff(3081,plain,
% 2.31/2.54 (p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s1)),
% 2.31/2.54 inference(unit_resolution,[status(thm)],[3080, 3076])).
% 2.31/2.54 tff(3082,plain,
% 2.31/2.54 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s0))),
% 2.31/2.54 inference(rewrite,[status(thm)],[])).
% 2.31/2.54 tff(3083,plain,
% 2.31/2.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s0))),
% 2.31/2.54 inference(quant_inst,[status(thm)],[])).
% 2.31/2.54 tff(3084,plain,
% 2.31/2.54 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s0)),
% 2.31/2.54 inference(modus_ponens,[status(thm)],[3083, 3082])).
% 2.31/2.54 tff(3085,plain,
% 2.31/2.54 (p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s0)),
% 2.31/2.54 inference(unit_resolution,[status(thm)],[3084, 255, 3081])).
% 2.31/2.54 tff(3086,plain,
% 2.31/2.54 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s1))),
% 2.31/2.54 inference(rewrite,[status(thm)],[])).
% 2.31/2.54 tff(3087,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s1))),
% 2.31/2.54 inference(quant_inst,[status(thm)],[])).
% 2.31/2.54 tff(3088,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s1)),
% 2.31/2.54 inference(modus_ponens,[status(thm)],[3087, 3086])).
% 2.31/2.54 tff(3089,plain,
% 2.31/2.54 (p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s1)),
% 2.31/2.54 inference(unit_resolution,[status(thm)],[3088, 203, 3085])).
% 2.31/2.54 tff(3090,plain,
% 2.31/2.54 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s0))),
% 2.31/2.54 inference(rewrite,[status(thm)],[])).
% 2.31/2.54 tff(3091,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s0))),
% 2.31/2.54 inference(quant_inst,[status(thm)],[])).
% 2.31/2.54 tff(3092,plain,
% 2.31/2.54 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s0)),
% 2.31/2.54 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 2.31/2.54 tff(3093,plain,
% 2.31/2.54 (p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s0)),
% 2.31/2.54 inference(unit_resolution,[status(thm)],[3092, 217, 3089])).
% 2.31/2.54 tff(3094,plain,
% 2.31/2.54 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s1))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3095,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s1))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3096,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s1)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3095, 3094])).
% 2.31/2.55 tff(3097,plain,
% 2.31/2.55 (p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s1)),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3096, 203, 3093])).
% 2.31/2.55 tff(3098,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s0))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3099,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s0))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3100,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s0)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3099, 3098])).
% 2.31/2.55 tff(3101,plain,
% 2.31/2.55 (p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s0)),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3100, 232, 3097])).
% 2.31/2.55 tff(3102,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s1))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3103,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s1))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3104,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s1)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3103, 3102])).
% 2.31/2.55 tff(3105,plain,
% 2.31/2.55 (p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s1)),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3104, 203, 3101])).
% 2.31/2.55 tff(3106,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s0))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3107,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s0))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3108,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s0)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3107, 3106])).
% 2.31/2.55 tff(3109,plain,
% 2.31/2.55 (p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s0)),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3108, 217, 3105])).
% 2.31/2.55 tff(3110,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s1))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3111,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s1))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3112,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s1)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3111, 3110])).
% 2.31/2.55 tff(3113,plain,
% 2.31/2.55 (p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s1)),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3112, 203, 3109])).
% 2.31/2.55 tff(3114,plain,
% 2.31/2.55 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s0))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3115,plain,
% 2.31/2.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s0))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3116,plain,
% 2.31/2.55 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s0, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s0)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3115, 3114])).
% 2.31/2.55 tff(3117,plain,
% 2.31/2.55 (p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s0)),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3116, 371, 3113])).
% 2.31/2.55 tff(3118,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s1))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3119,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s1))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3120,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s1)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3119, 3118])).
% 2.31/2.55 tff(3121,plain,
% 2.31/2.55 ($false),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3120, 203, 3117, 68])).
% 2.31/2.55 tff(3122,plain,(p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.55 tff(3123,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s0))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3124,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s0))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3125,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s0)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 2.31/2.55 tff(3126,plain,
% 2.31/2.55 ($false),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3125, 217, 3122, 67])).
% 2.31/2.55 tff(3127,plain,(p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.55 tff(3128,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s1))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3129,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s1))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3130,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s1)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3129, 3128])).
% 2.31/2.55 tff(3131,plain,
% 2.31/2.55 (p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s1)),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3130, 203, 3127])).
% 2.31/2.55 tff(3132,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s0))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3133,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s0))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3134,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s0)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3133, 3132])).
% 2.31/2.55 tff(3135,plain,
% 2.31/2.55 ($false),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3134, 232, 3131, 66])).
% 2.31/2.55 tff(3136,plain,(p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.55 tff(3137,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s1))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3138,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s1))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3139,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s1)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3138, 3137])).
% 2.31/2.55 tff(3140,plain,
% 2.31/2.55 (p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s1)),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3139, 203, 3136])).
% 2.31/2.55 tff(3141,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s0))),
% 2.31/2.55 inference(rewrite,[status(thm)],[])).
% 2.31/2.55 tff(3142,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s0))),
% 2.31/2.55 inference(quant_inst,[status(thm)],[])).
% 2.31/2.55 tff(3143,plain,
% 2.31/2.55 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s0)),
% 2.31/2.55 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 2.31/2.55 tff(3144,plain,
% 2.31/2.55 (p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s0)),
% 2.31/2.55 inference(unit_resolution,[status(thm)],[3143, 217, 3140])).
% 2.31/2.55 tff(3145,plain,
% 2.31/2.55 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s1))),
% 2.31/2.56 inference(rewrite,[status(thm)],[])).
% 2.31/2.56 tff(3146,plain,
% 2.31/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s1))),
% 2.31/2.56 inference(quant_inst,[status(thm)],[])).
% 2.31/2.56 tff(3147,plain,
% 2.31/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s1)),
% 2.31/2.56 inference(modus_ponens,[status(thm)],[3146, 3145])).
% 2.31/2.56 tff(3148,plain,
% 2.31/2.56 (p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s1)),
% 2.31/2.56 inference(unit_resolution,[status(thm)],[3147, 203, 3144])).
% 2.31/2.56 tff(3149,plain,
% 2.31/2.56 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s0))),
% 2.31/2.56 inference(rewrite,[status(thm)],[])).
% 2.31/2.56 tff(3150,plain,
% 2.31/2.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s0))),
% 2.31/2.56 inference(quant_inst,[status(thm)],[])).
% 2.31/2.56 tff(3151,plain,
% 2.31/2.56 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s0)),
% 2.31/2.56 inference(modus_ponens,[status(thm)],[3150, 3149])).
% 2.31/2.56 tff(3152,plain,
% 2.31/2.56 ($false),
% 2.31/2.56 inference(unit_resolution,[status(thm)],[3151, 255, 3148, 65])).
% 2.31/2.56 tff(3153,plain,(p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.31/2.56 tff(3154,plain,
% 2.31/2.56 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s1))),
% 2.31/2.56 inference(rewrite,[status(thm)],[])).
% 2.31/2.56 tff(3155,plain,
% 2.31/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s1))),
% 2.31/2.56 inference(quant_inst,[status(thm)],[])).
% 2.31/2.56 tff(3156,plain,
% 2.31/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s1)),
% 2.31/2.56 inference(modus_ponens,[status(thm)],[3155, 3154])).
% 2.31/2.56 tff(3157,plain,
% 2.31/2.56 (p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s1)),
% 2.31/2.56 inference(unit_resolution,[status(thm)],[3156, 203, 3153])).
% 2.31/2.56 tff(3158,plain,
% 2.31/2.56 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s0))),
% 2.31/2.56 inference(rewrite,[status(thm)],[])).
% 2.31/2.56 tff(3159,plain,
% 2.31/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s0))),
% 2.31/2.56 inference(quant_inst,[status(thm)],[])).
% 2.31/2.56 tff(3160,plain,
% 2.31/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s0)),
% 2.31/2.56 inference(modus_ponens,[status(thm)],[3159, 3158])).
% 2.31/2.56 tff(3161,plain,
% 2.31/2.56 (p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s0)),
% 2.31/2.56 inference(unit_resolution,[status(thm)],[3160, 217, 3157])).
% 2.31/2.56 tff(3162,plain,
% 2.31/2.56 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s1))),
% 2.31/2.56 inference(rewrite,[status(thm)],[])).
% 2.31/2.56 tff(3163,plain,
% 2.31/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s1))),
% 2.31/2.56 inference(quant_inst,[status(thm)],[])).
% 2.31/2.56 tff(3164,plain,
% 2.31/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s1)),
% 2.31/2.56 inference(modus_ponens,[status(thm)],[3163, 3162])).
% 2.31/2.56 tff(3165,plain,
% 2.31/2.56 ((~p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s1)),
% 2.31/2.56 inference(unit_resolution,[status(thm)],[3164, 203])).
% 2.31/2.56 tff(3166,plain,
% 2.31/2.56 (p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s1)),
% 2.31/2.56 inference(unit_resolution,[status(thm)],[3165, 3161])).
% 2.31/2.56 tff(3167,plain,
% 2.31/2.56 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s0))),
% 2.31/2.56 inference(rewrite,[status(thm)],[])).
% 2.31/2.56 tff(3168,plain,
% 2.31/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s0))),
% 2.31/2.56 inference(quant_inst,[status(thm)],[])).
% 2.31/2.56 tff(3169,plain,
% 2.31/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s0)),
% 2.31/2.56 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 2.41/2.56 tff(3170,plain,
% 2.41/2.56 (p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s0)),
% 2.41/2.56 inference(unit_resolution,[status(thm)],[3169, 232, 3166])).
% 2.41/2.56 tff(3171,plain,
% 2.41/2.56 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s1))),
% 2.41/2.56 inference(rewrite,[status(thm)],[])).
% 2.41/2.56 tff(3172,plain,
% 2.41/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s1))),
% 2.41/2.56 inference(quant_inst,[status(thm)],[])).
% 2.41/2.56 tff(3173,plain,
% 2.41/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s1)),
% 2.41/2.56 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 2.41/2.56 tff(3174,plain,
% 2.41/2.56 (p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s1)),
% 2.41/2.56 inference(unit_resolution,[status(thm)],[3173, 203, 3170])).
% 2.41/2.56 tff(3175,plain,
% 2.41/2.56 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s0))),
% 2.41/2.56 inference(rewrite,[status(thm)],[])).
% 2.41/2.56 tff(3176,plain,
% 2.41/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s0))),
% 2.41/2.56 inference(quant_inst,[status(thm)],[])).
% 2.41/2.56 tff(3177,plain,
% 2.41/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s0)),
% 2.41/2.56 inference(modus_ponens,[status(thm)],[3176, 3175])).
% 2.41/2.56 tff(3178,plain,
% 2.41/2.56 (p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s0)),
% 2.41/2.56 inference(unit_resolution,[status(thm)],[3177, 217, 3174])).
% 2.41/2.56 tff(3179,plain,
% 2.41/2.56 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s1))),
% 2.41/2.56 inference(rewrite,[status(thm)],[])).
% 2.41/2.56 tff(3180,plain,
% 2.41/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s1))),
% 2.41/2.56 inference(quant_inst,[status(thm)],[])).
% 2.41/2.56 tff(3181,plain,
% 2.41/2.56 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s1)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3180, 3179])).
% 2.41/2.57 tff(3182,plain,
% 2.41/2.57 (p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s1)),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3181, 203, 3178])).
% 2.41/2.57 tff(3183,plain,
% 2.41/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s0))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3184,plain,
% 2.41/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s0))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3185,plain,
% 2.41/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s0)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 2.41/2.57 tff(3186,plain,
% 2.41/2.57 (p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s0)),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3185, 297, 3182])).
% 2.41/2.57 tff(3187,plain,
% 2.41/2.57 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s1))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3188,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s1))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3189,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s1)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 2.41/2.57 tff(3190,plain,
% 2.41/2.57 (p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s1)),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3189, 203, 3186])).
% 2.41/2.57 tff(3191,plain,
% 2.41/2.57 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s0))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3192,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s0))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3193,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s0)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 2.41/2.57 tff(3194,plain,
% 2.41/2.57 (p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s0)),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3193, 217, 3190])).
% 2.41/2.57 tff(3195,plain,
% 2.41/2.57 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s1))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3196,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s1))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3197,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s1)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3196, 3195])).
% 2.41/2.57 tff(3198,plain,
% 2.41/2.57 (p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s1)),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3197, 203, 3194])).
% 2.41/2.57 tff(3199,plain,
% 2.41/2.57 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s0))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3200,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s0))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3201,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s0)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 2.41/2.57 tff(3202,plain,
% 2.41/2.57 (p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s0)),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3201, 232, 3198])).
% 2.41/2.57 tff(3203,plain,
% 2.41/2.57 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s1))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3204,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s1))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3205,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s1)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 2.41/2.57 tff(3206,plain,
% 2.41/2.57 ($false),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3205, 203, 3202, 64])).
% 2.41/2.57 tff(3207,plain,(p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.41/2.57 tff(3208,plain,
% 2.41/2.57 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s0))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3209,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s0))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3210,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s0)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 2.41/2.57 tff(3211,plain,
% 2.41/2.57 ($false),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3210, 217, 3207, 63])).
% 2.41/2.57 tff(3212,plain,(p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.41/2.57 tff(3213,plain,
% 2.41/2.57 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s1))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3214,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s1))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3215,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s1)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3214, 3213])).
% 2.41/2.57 tff(3216,plain,
% 2.41/2.57 (p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s1)),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3215, 203, 3212])).
% 2.41/2.57 tff(3217,plain,
% 2.41/2.57 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s0))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3218,plain,
% 2.41/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s0))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3219,plain,
% 2.41/2.57 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s0)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3218, 3217])).
% 2.41/2.57 tff(3220,plain,
% 2.41/2.57 ($false),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3219, 255, 3216, 62])).
% 2.41/2.57 tff(3221,plain,(p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.41/2.57 tff(3222,plain,
% 2.41/2.57 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s1))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3223,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s1))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3224,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s1)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 2.41/2.57 tff(3225,plain,
% 2.41/2.57 (p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s1)),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3224, 203, 3221])).
% 2.41/2.57 tff(3226,plain,
% 2.41/2.57 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s0))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3227,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s0))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3228,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s0)),
% 2.41/2.57 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 2.41/2.57 tff(3229,plain,
% 2.41/2.57 (p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s0)),
% 2.41/2.57 inference(unit_resolution,[status(thm)],[3228, 217, 3225])).
% 2.41/2.57 tff(3230,plain,
% 2.41/2.57 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s1))),
% 2.41/2.57 inference(rewrite,[status(thm)],[])).
% 2.41/2.57 tff(3231,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s1))),
% 2.41/2.57 inference(quant_inst,[status(thm)],[])).
% 2.41/2.57 tff(3232,plain,
% 2.41/2.57 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s1)),
% 2.41/2.58 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 2.41/2.58 tff(3233,plain,
% 2.41/2.58 (p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s1)),
% 2.41/2.58 inference(unit_resolution,[status(thm)],[3232, 203, 3229])).
% 2.41/2.58 tff(3234,plain,
% 2.41/2.58 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s0))),
% 2.41/2.58 inference(rewrite,[status(thm)],[])).
% 2.41/2.58 tff(3235,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s0))),
% 2.41/2.58 inference(quant_inst,[status(thm)],[])).
% 2.41/2.58 tff(3236,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s0)),
% 2.41/2.58 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 2.41/2.58 tff(3237,plain,
% 2.41/2.58 ($false),
% 2.41/2.58 inference(unit_resolution,[status(thm)],[3236, 232, 3233, 61])).
% 2.41/2.58 tff(3238,plain,(p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.41/2.58 tff(3239,plain,
% 2.41/2.58 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s1))),
% 2.41/2.58 inference(rewrite,[status(thm)],[])).
% 2.41/2.58 tff(3240,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s1))),
% 2.41/2.58 inference(quant_inst,[status(thm)],[])).
% 2.41/2.58 tff(3241,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s1)),
% 2.41/2.58 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 2.41/2.58 tff(3242,plain,
% 2.41/2.58 (p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s1)),
% 2.41/2.58 inference(unit_resolution,[status(thm)],[3241, 203, 3238])).
% 2.41/2.58 tff(3243,plain,
% 2.41/2.58 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s0))),
% 2.41/2.58 inference(rewrite,[status(thm)],[])).
% 2.41/2.58 tff(3244,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s0))),
% 2.41/2.58 inference(quant_inst,[status(thm)],[])).
% 2.41/2.58 tff(3245,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s0)),
% 2.41/2.58 inference(modus_ponens,[status(thm)],[3244, 3243])).
% 2.41/2.58 tff(3246,plain,
% 2.41/2.58 (p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s0)),
% 2.41/2.58 inference(unit_resolution,[status(thm)],[3245, 217, 3242])).
% 2.41/2.58 tff(3247,plain,
% 2.41/2.58 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s1))),
% 2.41/2.58 inference(rewrite,[status(thm)],[])).
% 2.41/2.58 tff(3248,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s1))),
% 2.41/2.58 inference(quant_inst,[status(thm)],[])).
% 2.41/2.58 tff(3249,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s1)),
% 2.41/2.58 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 2.41/2.58 tff(3250,plain,
% 2.41/2.58 ((~p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s1)),
% 2.41/2.58 inference(unit_resolution,[status(thm)],[3249, 203])).
% 2.41/2.58 tff(3251,plain,
% 2.41/2.58 (p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s1)),
% 2.41/2.58 inference(unit_resolution,[status(thm)],[3250, 3246])).
% 2.41/2.58 tff(3252,plain,
% 2.41/2.58 (((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s0))),
% 2.41/2.58 inference(rewrite,[status(thm)],[])).
% 2.41/2.58 tff(3253,plain,
% 2.41/2.58 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s0))),
% 2.41/2.58 inference(quant_inst,[status(thm)],[])).
% 2.41/2.58 tff(3254,plain,
% 2.41/2.58 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s1, s0, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s0)),
% 2.41/2.58 inference(modus_ponens,[status(thm)],[3253, 3252])).
% 2.41/2.58 tff(3255,plain,
% 2.41/2.58 (p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s0)),
% 2.41/2.58 inference(unit_resolution,[status(thm)],[3254, 515, 3251])).
% 2.41/2.58 tff(3256,plain,
% 2.41/2.58 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s1))),
% 2.41/2.58 inference(rewrite,[status(thm)],[])).
% 2.41/2.58 tff(3257,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s1))),
% 2.41/2.58 inference(quant_inst,[status(thm)],[])).
% 2.41/2.58 tff(3258,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s1)),
% 2.41/2.58 inference(modus_ponens,[status(thm)],[3257, 3256])).
% 2.41/2.58 tff(3259,plain,
% 2.41/2.58 (p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s1)),
% 2.41/2.58 inference(unit_resolution,[status(thm)],[3258, 203, 3255])).
% 2.41/2.58 tff(3260,plain,
% 2.41/2.58 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s0))),
% 2.41/2.58 inference(rewrite,[status(thm)],[])).
% 2.41/2.58 tff(3261,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s0))),
% 2.41/2.58 inference(quant_inst,[status(thm)],[])).
% 2.41/2.58 tff(3262,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s0)),
% 2.41/2.58 inference(modus_ponens,[status(thm)],[3261, 3260])).
% 2.41/2.58 tff(3263,plain,
% 2.41/2.58 (p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s0)),
% 2.41/2.58 inference(unit_resolution,[status(thm)],[3262, 217, 3259])).
% 2.41/2.58 tff(3264,plain,
% 2.41/2.58 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s1))),
% 2.41/2.58 inference(rewrite,[status(thm)],[])).
% 2.41/2.58 tff(3265,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s1))),
% 2.41/2.58 inference(quant_inst,[status(thm)],[])).
% 2.41/2.58 tff(3266,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s1)),
% 2.41/2.58 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 2.41/2.58 tff(3267,plain,
% 2.41/2.58 (p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s1)),
% 2.41/2.58 inference(unit_resolution,[status(thm)],[3266, 203, 3263])).
% 2.41/2.58 tff(3268,plain,
% 2.41/2.58 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s0))),
% 2.41/2.58 inference(rewrite,[status(thm)],[])).
% 2.41/2.58 tff(3269,plain,
% 2.41/2.58 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s0))),
% 2.41/2.59 inference(quant_inst,[status(thm)],[])).
% 2.41/2.59 tff(3270,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s0)),
% 2.41/2.59 inference(modus_ponens,[status(thm)],[3269, 3268])).
% 2.41/2.59 tff(3271,plain,
% 2.41/2.59 (p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s0)),
% 2.41/2.59 inference(unit_resolution,[status(thm)],[3270, 232, 3267])).
% 2.41/2.59 tff(3272,plain,
% 2.41/2.59 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s1))),
% 2.41/2.59 inference(rewrite,[status(thm)],[])).
% 2.41/2.59 tff(3273,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s1))),
% 2.41/2.59 inference(quant_inst,[status(thm)],[])).
% 2.41/2.59 tff(3274,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s1)),
% 2.41/2.59 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 2.41/2.59 tff(3275,plain,
% 2.41/2.59 (p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s1)),
% 2.41/2.59 inference(unit_resolution,[status(thm)],[3274, 203, 3271])).
% 2.41/2.59 tff(3276,plain,
% 2.41/2.59 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s0))),
% 2.41/2.59 inference(rewrite,[status(thm)],[])).
% 2.41/2.59 tff(3277,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s0))),
% 2.41/2.59 inference(quant_inst,[status(thm)],[])).
% 2.41/2.59 tff(3278,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s0)),
% 2.41/2.59 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 2.41/2.59 tff(3279,plain,
% 2.41/2.59 (p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s0)),
% 2.41/2.59 inference(unit_resolution,[status(thm)],[3278, 217, 3275])).
% 2.41/2.59 tff(3280,plain,
% 2.41/2.59 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s1))),
% 2.41/2.59 inference(rewrite,[status(thm)],[])).
% 2.41/2.59 tff(3281,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s1))),
% 2.41/2.59 inference(quant_inst,[status(thm)],[])).
% 2.41/2.59 tff(3282,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s1)),
% 2.41/2.59 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 2.41/2.59 tff(3283,plain,
% 2.41/2.59 (p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s1)),
% 2.41/2.59 inference(unit_resolution,[status(thm)],[3282, 203, 3279])).
% 2.41/2.59 tff(3284,plain,
% 2.41/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s0))),
% 2.41/2.59 inference(rewrite,[status(thm)],[])).
% 2.41/2.59 tff(3285,plain,
% 2.41/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s0))),
% 2.41/2.59 inference(quant_inst,[status(thm)],[])).
% 2.41/2.59 tff(3286,plain,
% 2.41/2.59 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s0)),
% 2.41/2.59 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 2.41/2.59 tff(3287,plain,
% 2.41/2.59 (p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s0)),
% 2.41/2.59 inference(unit_resolution,[status(thm)],[3286, 255, 3283])).
% 2.41/2.59 tff(3288,plain,
% 2.41/2.59 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s1))),
% 2.41/2.59 inference(rewrite,[status(thm)],[])).
% 2.41/2.59 tff(3289,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s1))),
% 2.41/2.59 inference(quant_inst,[status(thm)],[])).
% 2.41/2.59 tff(3290,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s1)),
% 2.41/2.59 inference(modus_ponens,[status(thm)],[3289, 3288])).
% 2.41/2.59 tff(3291,plain,
% 2.41/2.59 ($false),
% 2.41/2.59 inference(unit_resolution,[status(thm)],[3290, 203, 3287, 60])).
% 2.41/2.59 tff(3292,plain,(p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.41/2.59 tff(3293,plain,
% 2.41/2.59 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s0))),
% 2.41/2.59 inference(rewrite,[status(thm)],[])).
% 2.41/2.59 tff(3294,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s0))),
% 2.41/2.59 inference(quant_inst,[status(thm)],[])).
% 2.41/2.59 tff(3295,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s0)),
% 2.41/2.59 inference(modus_ponens,[status(thm)],[3294, 3293])).
% 2.41/2.59 tff(3296,plain,
% 2.41/2.59 ($false),
% 2.41/2.59 inference(unit_resolution,[status(thm)],[3295, 217, 3292, 59])).
% 2.41/2.59 tff(3297,plain,(p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.41/2.59 tff(3298,plain,
% 2.41/2.59 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s1))),
% 2.41/2.59 inference(rewrite,[status(thm)],[])).
% 2.41/2.59 tff(3299,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s1))),
% 2.41/2.59 inference(quant_inst,[status(thm)],[])).
% 2.41/2.59 tff(3300,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s1)),
% 2.41/2.59 inference(modus_ponens,[status(thm)],[3299, 3298])).
% 2.41/2.59 tff(3301,plain,
% 2.41/2.59 (p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s1)),
% 2.41/2.59 inference(unit_resolution,[status(thm)],[3300, 203, 3297])).
% 2.41/2.59 tff(3302,plain,
% 2.41/2.59 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s0))),
% 2.41/2.59 inference(rewrite,[status(thm)],[])).
% 2.41/2.59 tff(3303,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s0))),
% 2.41/2.59 inference(quant_inst,[status(thm)],[])).
% 2.41/2.59 tff(3304,plain,
% 2.41/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s0)),
% 2.41/2.59 inference(modus_ponens,[status(thm)],[3303, 3302])).
% 2.41/2.59 tff(3305,plain,
% 2.41/2.59 ($false),
% 2.41/2.59 inference(unit_resolution,[status(thm)],[3304, 232, 3301, 58])).
% 2.41/2.59 tff(3306,plain,(p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.41/2.59 tff(3307,plain,
% 2.41/2.59 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s1))),
% 2.44/2.59 inference(rewrite,[status(thm)],[])).
% 2.44/2.59 tff(3308,plain,
% 2.44/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s1))),
% 2.44/2.59 inference(quant_inst,[status(thm)],[])).
% 2.44/2.59 tff(3309,plain,
% 2.44/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s1)),
% 2.44/2.59 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 2.44/2.59 tff(3310,plain,
% 2.44/2.59 (p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s1)),
% 2.44/2.59 inference(unit_resolution,[status(thm)],[3309, 203, 3306])).
% 2.44/2.59 tff(3311,plain,
% 2.44/2.59 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s0))),
% 2.44/2.59 inference(rewrite,[status(thm)],[])).
% 2.44/2.59 tff(3312,plain,
% 2.44/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s0))),
% 2.44/2.59 inference(quant_inst,[status(thm)],[])).
% 2.44/2.59 tff(3313,plain,
% 2.44/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s0)),
% 2.44/2.59 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 2.44/2.59 tff(3314,plain,
% 2.44/2.59 (p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s0)),
% 2.44/2.59 inference(unit_resolution,[status(thm)],[3313, 217, 3310])).
% 2.44/2.59 tff(3315,plain,
% 2.44/2.59 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s1))),
% 2.44/2.59 inference(rewrite,[status(thm)],[])).
% 2.44/2.59 tff(3316,plain,
% 2.44/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s1))),
% 2.44/2.59 inference(quant_inst,[status(thm)],[])).
% 2.44/2.59 tff(3317,plain,
% 2.44/2.59 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s1)),
% 2.44/2.59 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 2.44/2.59 tff(3318,plain,
% 2.44/2.59 (p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s1)),
% 2.44/2.59 inference(unit_resolution,[status(thm)],[3317, 203, 3314])).
% 2.44/2.59 tff(3319,plain,
% 2.44/2.59 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s0))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(3320,plain,
% 2.44/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s0))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(3321,plain,
% 2.44/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s0)),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 2.44/2.60 tff(3322,plain,
% 2.44/2.60 ($false),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[3321, 297, 3318, 57])).
% 2.44/2.60 tff(3323,plain,(p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.44/2.60 tff(3324,plain,
% 2.44/2.60 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s1))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(3325,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s1))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(3326,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s1)),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 2.44/2.60 tff(3327,plain,
% 2.44/2.60 (p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s1)),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[3326, 203, 3323])).
% 2.44/2.60 tff(3328,plain,
% 2.44/2.60 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s0))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(3329,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s0))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(3330,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s0)),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 2.44/2.60 tff(3331,plain,
% 2.44/2.60 (p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s0)),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[3330, 217, 3327])).
% 2.44/2.60 tff(3332,plain,
% 2.44/2.60 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s1))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(3333,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s1))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(3334,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s1)),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[3333, 3332])).
% 2.44/2.60 tff(3335,plain,
% 2.44/2.60 ((~p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s1)),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[3334, 203])).
% 2.44/2.60 tff(3336,plain,
% 2.44/2.60 (p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s1)),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[3335, 3331])).
% 2.44/2.60 tff(3337,plain,
% 2.44/2.60 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s0))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(3338,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s0))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(3339,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s0)),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[3338, 3337])).
% 2.44/2.60 tff(3340,plain,
% 2.44/2.60 (p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s0)),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[3339, 232, 3336])).
% 2.44/2.60 tff(3341,plain,
% 2.44/2.60 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s1))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(3342,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s1))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(3343,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s1)),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[3342, 3341])).
% 2.44/2.60 tff(3344,plain,
% 2.44/2.60 (p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s1)),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[3343, 203, 3340])).
% 2.44/2.60 tff(3345,plain,
% 2.44/2.60 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s0))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(3346,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s0))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(3347,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s0)),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 2.44/2.60 tff(3348,plain,
% 2.44/2.60 (p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s0)),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[3347, 217, 3344])).
% 2.44/2.60 tff(3349,plain,
% 2.44/2.60 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s1))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(3350,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s1))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(3351,plain,
% 2.44/2.60 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s1)),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[3350, 3349])).
% 2.44/2.60 tff(3352,plain,
% 2.44/2.60 (p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s1)),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[3351, 203, 3348])).
% 2.44/2.60 tff(3353,plain,
% 2.44/2.60 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s0))),
% 2.44/2.60 inference(rewrite,[status(thm)],[])).
% 2.44/2.60 tff(3354,plain,
% 2.44/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s0))),
% 2.44/2.60 inference(quant_inst,[status(thm)],[])).
% 2.44/2.60 tff(3355,plain,
% 2.44/2.60 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s0)),
% 2.44/2.60 inference(modus_ponens,[status(thm)],[3354, 3353])).
% 2.44/2.60 tff(3356,plain,
% 2.44/2.60 (p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s0)),
% 2.44/2.60 inference(unit_resolution,[status(thm)],[3355, 255, 3352])).
% 2.44/2.60 tff(3357,plain,
% 2.44/2.60 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s1))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3358,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s1))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3359,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s1)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3358, 3357])).
% 2.44/2.61 tff(3360,plain,
% 2.44/2.61 (p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s1)),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3359, 203, 3356])).
% 2.44/2.61 tff(3361,plain,
% 2.44/2.61 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s0))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3362,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s0))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3363,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s0)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3362, 3361])).
% 2.44/2.61 tff(3364,plain,
% 2.44/2.61 (p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s0)),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3363, 217, 3360])).
% 2.44/2.61 tff(3365,plain,
% 2.44/2.61 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s1))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3366,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s1))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3367,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s1)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3366, 3365])).
% 2.44/2.61 tff(3368,plain,
% 2.44/2.61 (p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s1)),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3367, 203, 3364])).
% 2.44/2.61 tff(3369,plain,
% 2.44/2.61 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s0))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3370,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s0))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3371,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s0)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3370, 3369])).
% 2.44/2.61 tff(3372,plain,
% 2.44/2.61 (p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s0)),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3371, 232, 3368])).
% 2.44/2.61 tff(3373,plain,
% 2.44/2.61 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s1))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3374,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s1))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3375,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s1)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3374, 3373])).
% 2.44/2.61 tff(3376,plain,
% 2.44/2.61 ($false),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3375, 203, 3372, 56])).
% 2.44/2.61 tff(3377,plain,(p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.44/2.61 tff(3378,plain,
% 2.44/2.61 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s0))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3379,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s0))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3380,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s0)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3379, 3378])).
% 2.44/2.61 tff(3381,plain,
% 2.44/2.61 ($false),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3380, 217, 3377, 55])).
% 2.44/2.61 tff(3382,plain,(p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.44/2.61 tff(3383,plain,
% 2.44/2.61 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s1))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3384,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s1))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3385,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s1)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3384, 3383])).
% 2.44/2.61 tff(3386,plain,
% 2.44/2.61 (p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s1)),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3385, 203, 3382])).
% 2.44/2.61 tff(3387,plain,
% 2.44/2.61 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s0))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3388,plain,
% 2.44/2.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s0))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3389,plain,
% 2.44/2.61 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s0, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s0)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 2.44/2.61 tff(3390,plain,
% 2.44/2.61 ($false),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3389, 371, 3386, 54])).
% 2.44/2.61 tff(3391,plain,(p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.44/2.61 tff(3392,plain,
% 2.44/2.61 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s1))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3393,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s1))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3394,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s1)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3393, 3392])).
% 2.44/2.61 tff(3395,plain,
% 2.44/2.61 (p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s1)),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3394, 203, 3391])).
% 2.44/2.61 tff(3396,plain,
% 2.44/2.61 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s0))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3397,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s0))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3398,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s0)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3397, 3396])).
% 2.44/2.61 tff(3399,plain,
% 2.44/2.61 (p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s0)),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3398, 217, 3395])).
% 2.44/2.61 tff(3400,plain,
% 2.44/2.61 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s1))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3401,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s1))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3402,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s1)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3401, 3400])).
% 2.44/2.61 tff(3403,plain,
% 2.44/2.61 (p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s1)),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3402, 203, 3399])).
% 2.44/2.61 tff(3404,plain,
% 2.44/2.61 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s0))),
% 2.44/2.61 inference(rewrite,[status(thm)],[])).
% 2.44/2.61 tff(3405,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s0))),
% 2.44/2.61 inference(quant_inst,[status(thm)],[])).
% 2.44/2.61 tff(3406,plain,
% 2.44/2.61 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s0)),
% 2.44/2.61 inference(modus_ponens,[status(thm)],[3405, 3404])).
% 2.44/2.61 tff(3407,plain,
% 2.44/2.61 ($false),
% 2.44/2.61 inference(unit_resolution,[status(thm)],[3406, 232, 3403, 53])).
% 2.44/2.61 tff(3408,plain,(p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.44/2.62 tff(3409,plain,
% 2.44/2.62 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s1))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(3410,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s1))),
% 2.44/2.62 inference(quant_inst,[status(thm)],[])).
% 2.44/2.62 tff(3411,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s1)),
% 2.44/2.62 inference(modus_ponens,[status(thm)],[3410, 3409])).
% 2.44/2.62 tff(3412,plain,
% 2.44/2.62 (p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s1)),
% 2.44/2.62 inference(unit_resolution,[status(thm)],[3411, 203, 3408])).
% 2.44/2.62 tff(3413,plain,
% 2.44/2.62 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s0))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(3414,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s0))),
% 2.44/2.62 inference(quant_inst,[status(thm)],[])).
% 2.44/2.62 tff(3415,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s0)),
% 2.44/2.62 inference(modus_ponens,[status(thm)],[3414, 3413])).
% 2.44/2.62 tff(3416,plain,
% 2.44/2.62 (p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s0)),
% 2.44/2.62 inference(unit_resolution,[status(thm)],[3415, 217, 3412])).
% 2.44/2.62 tff(3417,plain,
% 2.44/2.62 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s1))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(3418,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s1))),
% 2.44/2.62 inference(quant_inst,[status(thm)],[])).
% 2.44/2.62 tff(3419,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s1)),
% 2.44/2.62 inference(modus_ponens,[status(thm)],[3418, 3417])).
% 2.44/2.62 tff(3420,plain,
% 2.44/2.62 ((~p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s1)),
% 2.44/2.62 inference(unit_resolution,[status(thm)],[3419, 203])).
% 2.44/2.62 tff(3421,plain,
% 2.44/2.62 (p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s1)),
% 2.44/2.62 inference(unit_resolution,[status(thm)],[3420, 3416])).
% 2.44/2.62 tff(3422,plain,
% 2.44/2.62 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s0))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(3423,plain,
% 2.44/2.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s0))),
% 2.44/2.62 inference(quant_inst,[status(thm)],[])).
% 2.44/2.62 tff(3424,plain,
% 2.44/2.62 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s0)),
% 2.44/2.62 inference(modus_ponens,[status(thm)],[3423, 3422])).
% 2.44/2.62 tff(3425,plain,
% 2.44/2.62 (p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s0)),
% 2.44/2.62 inference(unit_resolution,[status(thm)],[3424, 255, 3421])).
% 2.44/2.62 tff(3426,plain,
% 2.44/2.62 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s1))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(3427,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s1))),
% 2.44/2.62 inference(quant_inst,[status(thm)],[])).
% 2.44/2.62 tff(3428,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s1)),
% 2.44/2.62 inference(modus_ponens,[status(thm)],[3427, 3426])).
% 2.44/2.62 tff(3429,plain,
% 2.44/2.62 (p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s1)),
% 2.44/2.62 inference(unit_resolution,[status(thm)],[3428, 203, 3425])).
% 2.44/2.62 tff(3430,plain,
% 2.44/2.62 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s0))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(3431,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s0))),
% 2.44/2.62 inference(quant_inst,[status(thm)],[])).
% 2.44/2.62 tff(3432,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s0)),
% 2.44/2.62 inference(modus_ponens,[status(thm)],[3431, 3430])).
% 2.44/2.62 tff(3433,plain,
% 2.44/2.62 (p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s0)),
% 2.44/2.62 inference(unit_resolution,[status(thm)],[3432, 217, 3429])).
% 2.44/2.62 tff(3434,plain,
% 2.44/2.62 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s1))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(3435,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s1))),
% 2.44/2.62 inference(quant_inst,[status(thm)],[])).
% 2.44/2.62 tff(3436,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s1)),
% 2.44/2.62 inference(modus_ponens,[status(thm)],[3435, 3434])).
% 2.44/2.62 tff(3437,plain,
% 2.44/2.62 (p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s1)),
% 2.44/2.62 inference(unit_resolution,[status(thm)],[3436, 203, 3433])).
% 2.44/2.62 tff(3438,plain,
% 2.44/2.62 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s0))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(3439,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s0))),
% 2.44/2.62 inference(quant_inst,[status(thm)],[])).
% 2.44/2.62 tff(3440,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s0)),
% 2.44/2.62 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 2.44/2.62 tff(3441,plain,
% 2.44/2.62 (p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s0)),
% 2.44/2.62 inference(unit_resolution,[status(thm)],[3440, 232, 3437])).
% 2.44/2.62 tff(3442,plain,
% 2.44/2.62 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s1))),
% 2.44/2.62 inference(rewrite,[status(thm)],[])).
% 2.44/2.62 tff(3443,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s1))),
% 2.44/2.62 inference(quant_inst,[status(thm)],[])).
% 2.44/2.62 tff(3444,plain,
% 2.44/2.62 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s1)),
% 2.44/2.63 inference(modus_ponens,[status(thm)],[3443, 3442])).
% 2.44/2.63 tff(3445,plain,
% 2.44/2.63 (p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s1)),
% 2.44/2.63 inference(unit_resolution,[status(thm)],[3444, 203, 3441])).
% 2.44/2.63 tff(3446,plain,
% 2.44/2.63 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s0))),
% 2.44/2.63 inference(rewrite,[status(thm)],[])).
% 2.44/2.63 tff(3447,plain,
% 2.44/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s0))),
% 2.44/2.63 inference(quant_inst,[status(thm)],[])).
% 2.44/2.63 tff(3448,plain,
% 2.44/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s0)),
% 2.44/2.63 inference(modus_ponens,[status(thm)],[3447, 3446])).
% 2.44/2.63 tff(3449,plain,
% 2.44/2.63 (p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s0)),
% 2.44/2.63 inference(unit_resolution,[status(thm)],[3448, 217, 3445])).
% 2.44/2.63 tff(3450,plain,
% 2.44/2.63 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s1))),
% 2.44/2.63 inference(rewrite,[status(thm)],[])).
% 2.44/2.63 tff(3451,plain,
% 2.44/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s1))),
% 2.44/2.63 inference(quant_inst,[status(thm)],[])).
% 2.44/2.63 tff(3452,plain,
% 2.44/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s1)),
% 2.44/2.63 inference(modus_ponens,[status(thm)],[3451, 3450])).
% 2.44/2.63 tff(3453,plain,
% 2.44/2.63 (p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s1)),
% 2.44/2.63 inference(unit_resolution,[status(thm)],[3452, 203, 3449])).
% 2.44/2.63 tff(3454,plain,
% 2.44/2.63 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s0))),
% 2.44/2.63 inference(rewrite,[status(thm)],[])).
% 2.44/2.63 tff(3455,plain,
% 2.44/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s0))),
% 2.44/2.63 inference(quant_inst,[status(thm)],[])).
% 2.44/2.63 tff(3456,plain,
% 2.44/2.63 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s0, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s0)),
% 2.48/2.63 inference(modus_ponens,[status(thm)],[3455, 3454])).
% 2.48/2.63 tff(3457,plain,
% 2.48/2.63 (p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s0)),
% 2.48/2.63 inference(unit_resolution,[status(thm)],[3456, 297, 3453])).
% 2.48/2.63 tff(3458,plain,
% 2.48/2.63 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s1))),
% 2.48/2.63 inference(rewrite,[status(thm)],[])).
% 2.48/2.63 tff(3459,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s1))),
% 2.48/2.63 inference(quant_inst,[status(thm)],[])).
% 2.48/2.63 tff(3460,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s1)),
% 2.48/2.63 inference(modus_ponens,[status(thm)],[3459, 3458])).
% 2.48/2.63 tff(3461,plain,
% 2.48/2.63 ($false),
% 2.48/2.63 inference(unit_resolution,[status(thm)],[3460, 203, 3457, 52])).
% 2.48/2.63 tff(3462,plain,(p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.63 tff(3463,plain,
% 2.48/2.63 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s0))),
% 2.48/2.63 inference(rewrite,[status(thm)],[])).
% 2.48/2.63 tff(3464,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s0))),
% 2.48/2.63 inference(quant_inst,[status(thm)],[])).
% 2.48/2.63 tff(3465,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s0)),
% 2.48/2.63 inference(modus_ponens,[status(thm)],[3464, 3463])).
% 2.48/2.63 tff(3466,plain,
% 2.48/2.63 ($false),
% 2.48/2.63 inference(unit_resolution,[status(thm)],[3465, 217, 3462, 51])).
% 2.48/2.63 tff(3467,plain,(p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.63 tff(3468,plain,
% 2.48/2.63 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s1))),
% 2.48/2.63 inference(rewrite,[status(thm)],[])).
% 2.48/2.63 tff(3469,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s1))),
% 2.48/2.63 inference(quant_inst,[status(thm)],[])).
% 2.48/2.63 tff(3470,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s1)),
% 2.48/2.63 inference(modus_ponens,[status(thm)],[3469, 3468])).
% 2.48/2.63 tff(3471,plain,
% 2.48/2.63 (p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s1)),
% 2.48/2.63 inference(unit_resolution,[status(thm)],[3470, 203, 3467])).
% 2.48/2.63 tff(3472,plain,
% 2.48/2.63 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s0))),
% 2.48/2.63 inference(rewrite,[status(thm)],[])).
% 2.48/2.63 tff(3473,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s0))),
% 2.48/2.63 inference(quant_inst,[status(thm)],[])).
% 2.48/2.63 tff(3474,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s0)),
% 2.48/2.63 inference(modus_ponens,[status(thm)],[3473, 3472])).
% 2.48/2.63 tff(3475,plain,
% 2.48/2.63 ($false),
% 2.48/2.63 inference(unit_resolution,[status(thm)],[3474, 232, 3471, 50])).
% 2.48/2.63 tff(3476,plain,(p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.63 tff(3477,plain,
% 2.48/2.63 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s1))),
% 2.48/2.63 inference(rewrite,[status(thm)],[])).
% 2.48/2.63 tff(3478,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s1))),
% 2.48/2.63 inference(quant_inst,[status(thm)],[])).
% 2.48/2.63 tff(3479,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s1)),
% 2.48/2.63 inference(modus_ponens,[status(thm)],[3478, 3477])).
% 2.48/2.63 tff(3480,plain,
% 2.48/2.63 (p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s1)),
% 2.48/2.63 inference(unit_resolution,[status(thm)],[3479, 203, 3476])).
% 2.48/2.63 tff(3481,plain,
% 2.48/2.63 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s0))),
% 2.48/2.63 inference(rewrite,[status(thm)],[])).
% 2.48/2.63 tff(3482,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s0))),
% 2.48/2.63 inference(quant_inst,[status(thm)],[])).
% 2.48/2.63 tff(3483,plain,
% 2.48/2.63 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s0)),
% 2.48/2.63 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 2.48/2.63 tff(3484,plain,
% 2.48/2.63 (p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s0)),
% 2.48/2.63 inference(unit_resolution,[status(thm)],[3483, 217, 3480])).
% 2.48/2.63 tff(3485,plain,
% 2.48/2.63 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s1))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3486,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s1))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3487,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s1)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 2.48/2.64 tff(3488,plain,
% 2.48/2.64 (p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s1)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3487, 203, 3484])).
% 2.48/2.64 tff(3489,plain,
% 2.48/2.64 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s0))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3490,plain,
% 2.48/2.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s0))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3491,plain,
% 2.48/2.64 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s0, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s0)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3490, 3489])).
% 2.48/2.64 tff(3492,plain,
% 2.48/2.64 ($false),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3491, 255, 3488, 49])).
% 2.48/2.64 tff(3493,plain,(p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.64 tff(3494,plain,
% 2.48/2.64 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s1))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3495,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s1))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3496,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s1)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3495, 3494])).
% 2.48/2.64 tff(3497,plain,
% 2.48/2.64 (p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s1)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3496, 203, 3493])).
% 2.48/2.64 tff(3498,plain,
% 2.48/2.64 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s0))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3499,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s0))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3500,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s0)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3499, 3498])).
% 2.48/2.64 tff(3501,plain,
% 2.48/2.64 (p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s0)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3500, 217, 3497])).
% 2.48/2.64 tff(3502,plain,
% 2.48/2.64 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s1))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3503,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s1))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3504,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s1)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3503, 3502])).
% 2.48/2.64 tff(3505,plain,
% 2.48/2.64 ((~p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s1)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3504, 203])).
% 2.48/2.64 tff(3506,plain,
% 2.48/2.64 (p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s1)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3505, 3501])).
% 2.48/2.64 tff(3507,plain,
% 2.48/2.64 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s0))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3508,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s0))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3509,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s0, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s0)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3508, 3507])).
% 2.48/2.64 tff(3510,plain,
% 2.48/2.64 (p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s0)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3509, 232, 3506])).
% 2.48/2.64 tff(3511,plain,
% 2.48/2.64 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s1))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3512,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s1))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3513,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s1)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3512, 3511])).
% 2.48/2.64 tff(3514,plain,
% 2.48/2.64 (p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s1)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3513, 203, 3510])).
% 2.48/2.64 tff(3515,plain,
% 2.48/2.64 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s0))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3516,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s0))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3517,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s0, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s0)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3516, 3515])).
% 2.48/2.64 tff(3518,plain,
% 2.48/2.64 (p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s0)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3517, 217, 3514])).
% 2.48/2.64 tff(3519,plain,
% 2.48/2.64 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s1))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3520,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s1))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3521,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s1)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3520, 3519])).
% 2.48/2.64 tff(3522,plain,
% 2.48/2.64 (p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s1)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3521, 203, 3518])).
% 2.48/2.64 tff(3523,plain,
% 2.48/2.64 (((~![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))) | (~p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s0))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3524,plain,
% 2.48/2.64 ((~![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s0))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3525,plain,
% 2.48/2.64 ((~![X0: $i] : ((~p(X0, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(X0, s1, s0, s0, s0, s0, s0, s0, s0, s0))) | (~p(s1, s0, s1, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s0)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3524, 3523])).
% 2.48/2.64 tff(3526,plain,
% 2.48/2.64 (p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s0)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3525, 1345, 3522])).
% 2.48/2.64 tff(3527,plain,
% 2.48/2.64 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s1))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3528,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s1))),
% 2.48/2.64 inference(quant_inst,[status(thm)],[])).
% 2.48/2.64 tff(3529,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s1)),
% 2.48/2.64 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 2.48/2.64 tff(3530,plain,
% 2.48/2.64 (p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s1)),
% 2.48/2.64 inference(unit_resolution,[status(thm)],[3529, 203, 3526])).
% 2.48/2.64 tff(3531,plain,
% 2.48/2.64 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s0))),
% 2.48/2.64 inference(rewrite,[status(thm)],[])).
% 2.48/2.64 tff(3532,plain,
% 2.48/2.64 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s0))),
% 2.48/2.65 inference(quant_inst,[status(thm)],[])).
% 2.48/2.65 tff(3533,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s0)),
% 2.48/2.65 inference(modus_ponens,[status(thm)],[3532, 3531])).
% 2.48/2.65 tff(3534,plain,
% 2.48/2.65 (p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s0)),
% 2.48/2.65 inference(unit_resolution,[status(thm)],[3533, 217, 3530])).
% 2.48/2.65 tff(3535,plain,
% 2.48/2.65 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s1))),
% 2.48/2.65 inference(rewrite,[status(thm)],[])).
% 2.48/2.65 tff(3536,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s1))),
% 2.48/2.65 inference(quant_inst,[status(thm)],[])).
% 2.48/2.65 tff(3537,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s1)),
% 2.48/2.65 inference(modus_ponens,[status(thm)],[3536, 3535])).
% 2.48/2.65 tff(3538,plain,
% 2.48/2.65 (p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s1)),
% 2.48/2.65 inference(unit_resolution,[status(thm)],[3537, 203, 3534])).
% 2.48/2.65 tff(3539,plain,
% 2.48/2.65 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s0))),
% 2.48/2.65 inference(rewrite,[status(thm)],[])).
% 2.48/2.65 tff(3540,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s0))),
% 2.48/2.65 inference(quant_inst,[status(thm)],[])).
% 2.48/2.65 tff(3541,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s0)),
% 2.48/2.65 inference(modus_ponens,[status(thm)],[3540, 3539])).
% 2.48/2.65 tff(3542,plain,
% 2.48/2.65 (p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s0)),
% 2.48/2.65 inference(unit_resolution,[status(thm)],[3541, 232, 3538])).
% 2.48/2.65 tff(3543,plain,
% 2.48/2.65 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s1))),
% 2.48/2.65 inference(rewrite,[status(thm)],[])).
% 2.48/2.65 tff(3544,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s1))),
% 2.48/2.65 inference(quant_inst,[status(thm)],[])).
% 2.48/2.65 tff(3545,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s1)),
% 2.48/2.65 inference(modus_ponens,[status(thm)],[3544, 3543])).
% 2.48/2.65 tff(3546,plain,
% 2.48/2.65 ($false),
% 2.48/2.65 inference(unit_resolution,[status(thm)],[3545, 203, 3542, 48])).
% 2.48/2.65 tff(3547,plain,(p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.65 tff(3548,plain,
% 2.48/2.65 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s0))),
% 2.48/2.65 inference(rewrite,[status(thm)],[])).
% 2.48/2.65 tff(3549,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s0))),
% 2.48/2.65 inference(quant_inst,[status(thm)],[])).
% 2.48/2.65 tff(3550,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s0)),
% 2.48/2.65 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 2.48/2.65 tff(3551,plain,
% 2.48/2.65 ($false),
% 2.48/2.65 inference(unit_resolution,[status(thm)],[3550, 217, 3547, 47])).
% 2.48/2.65 tff(3552,plain,(p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.65 tff(3553,plain,
% 2.48/2.65 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s1))),
% 2.48/2.65 inference(rewrite,[status(thm)],[])).
% 2.48/2.65 tff(3554,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s1))),
% 2.48/2.65 inference(quant_inst,[status(thm)],[])).
% 2.48/2.65 tff(3555,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s1)),
% 2.48/2.65 inference(modus_ponens,[status(thm)],[3554, 3553])).
% 2.48/2.65 tff(3556,plain,
% 2.48/2.65 (p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s1)),
% 2.48/2.65 inference(unit_resolution,[status(thm)],[3555, 203, 3552])).
% 2.48/2.65 tff(3557,plain,
% 2.48/2.65 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s0))),
% 2.48/2.65 inference(rewrite,[status(thm)],[])).
% 2.48/2.65 tff(3558,plain,
% 2.48/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s0))),
% 2.48/2.65 inference(quant_inst,[status(thm)],[])).
% 2.48/2.65 tff(3559,plain,
% 2.48/2.65 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s0)),
% 2.48/2.65 inference(modus_ponens,[status(thm)],[3558, 3557])).
% 2.48/2.65 tff(3560,plain,
% 2.48/2.65 ($false),
% 2.48/2.65 inference(unit_resolution,[status(thm)],[3559, 255, 3556, 46])).
% 2.48/2.65 tff(3561,plain,(p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.65 tff(3562,plain,
% 2.48/2.65 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s1))),
% 2.48/2.65 inference(rewrite,[status(thm)],[])).
% 2.48/2.65 tff(3563,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s1))),
% 2.48/2.65 inference(quant_inst,[status(thm)],[])).
% 2.48/2.65 tff(3564,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s1)),
% 2.48/2.65 inference(modus_ponens,[status(thm)],[3563, 3562])).
% 2.48/2.65 tff(3565,plain,
% 2.48/2.65 (p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s1)),
% 2.48/2.65 inference(unit_resolution,[status(thm)],[3564, 203, 3561])).
% 2.48/2.65 tff(3566,plain,
% 2.48/2.65 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s0))),
% 2.48/2.65 inference(rewrite,[status(thm)],[])).
% 2.48/2.65 tff(3567,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s0))),
% 2.48/2.65 inference(quant_inst,[status(thm)],[])).
% 2.48/2.65 tff(3568,plain,
% 2.48/2.65 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s0)),
% 2.48/2.65 inference(modus_ponens,[status(thm)],[3567, 3566])).
% 2.48/2.65 tff(3569,plain,
% 2.48/2.65 (p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s0)),
% 2.48/2.65 inference(unit_resolution,[status(thm)],[3568, 217, 3565])).
% 2.48/2.65 tff(3570,plain,
% 2.48/2.65 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s1))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3571,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s1))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3572,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s1)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3571, 3570])).
% 2.48/2.66 tff(3573,plain,
% 2.48/2.66 (p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s1)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3572, 203, 3569])).
% 2.48/2.66 tff(3574,plain,
% 2.48/2.66 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s0))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3575,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s0))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3576,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s0)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3575, 3574])).
% 2.48/2.66 tff(3577,plain,
% 2.48/2.66 ($false),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3576, 232, 3573, 45])).
% 2.48/2.66 tff(3578,plain,(p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.66 tff(3579,plain,
% 2.48/2.66 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s1))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3580,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s1))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3581,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s1)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 2.48/2.66 tff(3582,plain,
% 2.48/2.66 (p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s1)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3581, 203, 3578])).
% 2.48/2.66 tff(3583,plain,
% 2.48/2.66 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s0))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3584,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s0))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3585,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s0)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 2.48/2.66 tff(3586,plain,
% 2.48/2.66 (p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s0)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3585, 217, 3582])).
% 2.48/2.66 tff(3587,plain,
% 2.48/2.66 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s1))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3588,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s1))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3589,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s1)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3588, 3587])).
% 2.48/2.66 tff(3590,plain,
% 2.48/2.66 ((~p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s1)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3589, 203])).
% 2.48/2.66 tff(3591,plain,
% 2.48/2.66 (p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s1)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3590, 3586])).
% 2.48/2.66 tff(3592,plain,
% 2.48/2.66 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s0))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3593,plain,
% 2.48/2.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s0))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3594,plain,
% 2.48/2.66 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s0, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s0)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 2.48/2.66 tff(3595,plain,
% 2.48/2.66 (p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s0)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3594, 297, 3591])).
% 2.48/2.66 tff(3596,plain,
% 2.48/2.66 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s1))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3597,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s1))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3598,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s1)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 2.48/2.66 tff(3599,plain,
% 2.48/2.66 (p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s1)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3598, 203, 3595])).
% 2.48/2.66 tff(3600,plain,
% 2.48/2.66 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s0))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3601,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s0))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3602,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s0)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 2.48/2.66 tff(3603,plain,
% 2.48/2.66 (p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s0)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3602, 217, 3599])).
% 2.48/2.66 tff(3604,plain,
% 2.48/2.66 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s1))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3605,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s1))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3606,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s1)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3605, 3604])).
% 2.48/2.66 tff(3607,plain,
% 2.48/2.66 (p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s1)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3606, 203, 3603])).
% 2.48/2.66 tff(3608,plain,
% 2.48/2.66 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s0))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3609,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s0))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3610,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s0)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 2.48/2.66 tff(3611,plain,
% 2.48/2.66 (p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s0)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3610, 232, 3607])).
% 2.48/2.66 tff(3612,plain,
% 2.48/2.66 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s1))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.66 tff(3613,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s1))),
% 2.48/2.66 inference(quant_inst,[status(thm)],[])).
% 2.48/2.66 tff(3614,plain,
% 2.48/2.66 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s1)),
% 2.48/2.66 inference(modus_ponens,[status(thm)],[3613, 3612])).
% 2.48/2.66 tff(3615,plain,
% 2.48/2.66 (p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s1)),
% 2.48/2.66 inference(unit_resolution,[status(thm)],[3614, 203, 3611])).
% 2.48/2.66 tff(3616,plain,
% 2.48/2.66 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s0))),
% 2.48/2.66 inference(rewrite,[status(thm)],[])).
% 2.48/2.67 tff(3617,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s0))),
% 2.48/2.67 inference(quant_inst,[status(thm)],[])).
% 2.48/2.67 tff(3618,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s0)),
% 2.48/2.67 inference(modus_ponens,[status(thm)],[3617, 3616])).
% 2.48/2.67 tff(3619,plain,
% 2.48/2.67 (p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s0)),
% 2.48/2.67 inference(unit_resolution,[status(thm)],[3618, 217, 3615])).
% 2.48/2.67 tff(3620,plain,
% 2.48/2.67 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s1))),
% 2.48/2.67 inference(rewrite,[status(thm)],[])).
% 2.48/2.67 tff(3621,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s1))),
% 2.48/2.67 inference(quant_inst,[status(thm)],[])).
% 2.48/2.67 tff(3622,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s1)),
% 2.48/2.67 inference(modus_ponens,[status(thm)],[3621, 3620])).
% 2.48/2.67 tff(3623,plain,
% 2.48/2.67 (p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s1)),
% 2.48/2.67 inference(unit_resolution,[status(thm)],[3622, 203, 3619])).
% 2.48/2.67 tff(3624,plain,
% 2.48/2.67 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s0))),
% 2.48/2.67 inference(rewrite,[status(thm)],[])).
% 2.48/2.67 tff(3625,plain,
% 2.48/2.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s0))),
% 2.48/2.67 inference(quant_inst,[status(thm)],[])).
% 2.48/2.67 tff(3626,plain,
% 2.48/2.67 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s0)),
% 2.48/2.67 inference(modus_ponens,[status(thm)],[3625, 3624])).
% 2.48/2.67 tff(3627,plain,
% 2.48/2.67 (p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s0)),
% 2.48/2.67 inference(unit_resolution,[status(thm)],[3626, 255, 3623])).
% 2.48/2.67 tff(3628,plain,
% 2.48/2.67 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s1))),
% 2.48/2.67 inference(rewrite,[status(thm)],[])).
% 2.48/2.67 tff(3629,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s1))),
% 2.48/2.67 inference(quant_inst,[status(thm)],[])).
% 2.48/2.67 tff(3630,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s1)),
% 2.48/2.67 inference(modus_ponens,[status(thm)],[3629, 3628])).
% 2.48/2.67 tff(3631,plain,
% 2.48/2.67 ($false),
% 2.48/2.67 inference(unit_resolution,[status(thm)],[3630, 203, 3627, 44])).
% 2.48/2.67 tff(3632,plain,(p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.67 tff(3633,plain,
% 2.48/2.67 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s0))),
% 2.48/2.67 inference(rewrite,[status(thm)],[])).
% 2.48/2.67 tff(3634,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s0))),
% 2.48/2.67 inference(quant_inst,[status(thm)],[])).
% 2.48/2.67 tff(3635,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s0)),
% 2.48/2.67 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 2.48/2.67 tff(3636,plain,
% 2.48/2.67 ($false),
% 2.48/2.67 inference(unit_resolution,[status(thm)],[3635, 217, 3632, 43])).
% 2.48/2.67 tff(3637,plain,(p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.67 tff(3638,plain,
% 2.48/2.67 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s1))),
% 2.48/2.67 inference(rewrite,[status(thm)],[])).
% 2.48/2.67 tff(3639,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s1))),
% 2.48/2.67 inference(quant_inst,[status(thm)],[])).
% 2.48/2.67 tff(3640,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s1)),
% 2.48/2.67 inference(modus_ponens,[status(thm)],[3639, 3638])).
% 2.48/2.67 tff(3641,plain,
% 2.48/2.67 (p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s1)),
% 2.48/2.67 inference(unit_resolution,[status(thm)],[3640, 203, 3637])).
% 2.48/2.67 tff(3642,plain,
% 2.48/2.67 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s0))),
% 2.48/2.67 inference(rewrite,[status(thm)],[])).
% 2.48/2.67 tff(3643,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s0))),
% 2.48/2.67 inference(quant_inst,[status(thm)],[])).
% 2.48/2.67 tff(3644,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s0)),
% 2.48/2.67 inference(modus_ponens,[status(thm)],[3643, 3642])).
% 2.48/2.67 tff(3645,plain,
% 2.48/2.67 ($false),
% 2.48/2.67 inference(unit_resolution,[status(thm)],[3644, 232, 3641, 42])).
% 2.48/2.67 tff(3646,plain,(p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.67 tff(3647,plain,
% 2.48/2.67 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s1))),
% 2.48/2.67 inference(rewrite,[status(thm)],[])).
% 2.48/2.67 tff(3648,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s1))),
% 2.48/2.67 inference(quant_inst,[status(thm)],[])).
% 2.48/2.67 tff(3649,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s1)),
% 2.48/2.67 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 2.48/2.67 tff(3650,plain,
% 2.48/2.67 (p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s1)),
% 2.48/2.67 inference(unit_resolution,[status(thm)],[3649, 203, 3646])).
% 2.48/2.67 tff(3651,plain,
% 2.48/2.67 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s0))),
% 2.48/2.67 inference(rewrite,[status(thm)],[])).
% 2.48/2.67 tff(3652,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s0))),
% 2.48/2.67 inference(quant_inst,[status(thm)],[])).
% 2.48/2.67 tff(3653,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s0)),
% 2.48/2.67 inference(modus_ponens,[status(thm)],[3652, 3651])).
% 2.48/2.67 tff(3654,plain,
% 2.48/2.67 (p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s0)),
% 2.48/2.67 inference(unit_resolution,[status(thm)],[3653, 217, 3650])).
% 2.48/2.67 tff(3655,plain,
% 2.48/2.67 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s1))),
% 2.48/2.67 inference(rewrite,[status(thm)],[])).
% 2.48/2.67 tff(3656,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s1))),
% 2.48/2.67 inference(quant_inst,[status(thm)],[])).
% 2.48/2.67 tff(3657,plain,
% 2.48/2.67 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s1)),
% 2.48/2.67 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 2.48/2.67 tff(3658,plain,
% 2.48/2.67 (p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s1)),
% 2.48/2.68 inference(unit_resolution,[status(thm)],[3657, 203, 3654])).
% 2.48/2.68 tff(3659,plain,
% 2.48/2.68 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s0))),
% 2.48/2.68 inference(rewrite,[status(thm)],[])).
% 2.48/2.68 tff(3660,plain,
% 2.48/2.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s0))),
% 2.48/2.68 inference(quant_inst,[status(thm)],[])).
% 2.48/2.68 tff(3661,plain,
% 2.48/2.68 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s1, s0, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s0)),
% 2.48/2.68 inference(modus_ponens,[status(thm)],[3660, 3659])).
% 2.48/2.68 tff(3662,plain,
% 2.48/2.68 ($false),
% 2.48/2.68 inference(unit_resolution,[status(thm)],[3661, 371, 3658, 41])).
% 2.48/2.68 tff(3663,plain,(p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.68 tff(3664,plain,
% 2.48/2.68 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s1))),
% 2.48/2.68 inference(rewrite,[status(thm)],[])).
% 2.48/2.68 tff(3665,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s1))),
% 2.48/2.68 inference(quant_inst,[status(thm)],[])).
% 2.48/2.68 tff(3666,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s1)),
% 2.48/2.68 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 2.48/2.68 tff(3667,plain,
% 2.48/2.68 (p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s1)),
% 2.48/2.68 inference(unit_resolution,[status(thm)],[3666, 203, 3663])).
% 2.48/2.68 tff(3668,plain,
% 2.48/2.68 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s0))),
% 2.48/2.68 inference(rewrite,[status(thm)],[])).
% 2.48/2.68 tff(3669,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s0))),
% 2.48/2.68 inference(quant_inst,[status(thm)],[])).
% 2.48/2.68 tff(3670,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s0)),
% 2.48/2.68 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 2.48/2.68 tff(3671,plain,
% 2.48/2.68 (p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s0)),
% 2.48/2.68 inference(unit_resolution,[status(thm)],[3670, 217, 3667])).
% 2.48/2.68 tff(3672,plain,
% 2.48/2.68 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s1))),
% 2.48/2.68 inference(rewrite,[status(thm)],[])).
% 2.48/2.68 tff(3673,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s1))),
% 2.48/2.68 inference(quant_inst,[status(thm)],[])).
% 2.48/2.68 tff(3674,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s1)),
% 2.48/2.68 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 2.48/2.68 tff(3675,plain,
% 2.48/2.68 ((~p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s1)),
% 2.48/2.68 inference(unit_resolution,[status(thm)],[3674, 203])).
% 2.48/2.68 tff(3676,plain,
% 2.48/2.68 (p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s1)),
% 2.48/2.68 inference(unit_resolution,[status(thm)],[3675, 3671])).
% 2.48/2.68 tff(3677,plain,
% 2.48/2.68 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s0))),
% 2.48/2.68 inference(rewrite,[status(thm)],[])).
% 2.48/2.68 tff(3678,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s0))),
% 2.48/2.68 inference(quant_inst,[status(thm)],[])).
% 2.48/2.68 tff(3679,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s0)),
% 2.48/2.68 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 2.48/2.68 tff(3680,plain,
% 2.48/2.68 (p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s0)),
% 2.48/2.68 inference(unit_resolution,[status(thm)],[3679, 232, 3676])).
% 2.48/2.68 tff(3681,plain,
% 2.48/2.68 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s1))),
% 2.48/2.68 inference(rewrite,[status(thm)],[])).
% 2.48/2.68 tff(3682,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s1))),
% 2.48/2.68 inference(quant_inst,[status(thm)],[])).
% 2.48/2.68 tff(3683,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s1)),
% 2.48/2.68 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 2.48/2.68 tff(3684,plain,
% 2.48/2.68 (p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s1)),
% 2.48/2.68 inference(unit_resolution,[status(thm)],[3683, 203, 3680])).
% 2.48/2.68 tff(3685,plain,
% 2.48/2.68 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s0))),
% 2.48/2.68 inference(rewrite,[status(thm)],[])).
% 2.48/2.68 tff(3686,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s0))),
% 2.48/2.68 inference(quant_inst,[status(thm)],[])).
% 2.48/2.68 tff(3687,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s0)),
% 2.48/2.68 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 2.48/2.68 tff(3688,plain,
% 2.48/2.68 (p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s0)),
% 2.48/2.68 inference(unit_resolution,[status(thm)],[3687, 217, 3684])).
% 2.48/2.68 tff(3689,plain,
% 2.48/2.68 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s1))),
% 2.48/2.68 inference(rewrite,[status(thm)],[])).
% 2.48/2.68 tff(3690,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s1))),
% 2.48/2.68 inference(quant_inst,[status(thm)],[])).
% 2.48/2.68 tff(3691,plain,
% 2.48/2.68 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s1)),
% 2.48/2.68 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 2.48/2.68 tff(3692,plain,
% 2.48/2.68 (p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s1)),
% 2.48/2.68 inference(unit_resolution,[status(thm)],[3691, 203, 3688])).
% 2.48/2.68 tff(3693,plain,
% 2.48/2.68 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s0))),
% 2.48/2.68 inference(rewrite,[status(thm)],[])).
% 2.48/2.68 tff(3694,plain,
% 2.48/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s0))),
% 2.48/2.68 inference(quant_inst,[status(thm)],[])).
% 2.48/2.68 tff(3695,plain,
% 2.48/2.68 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s0)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 2.48/2.69 tff(3696,plain,
% 2.48/2.69 (p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s0)),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3695, 255, 3692])).
% 2.48/2.69 tff(3697,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s1))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3698,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s1))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3699,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s1)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3698, 3697])).
% 2.48/2.69 tff(3700,plain,
% 2.48/2.69 (p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s1)),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3699, 203, 3696])).
% 2.48/2.69 tff(3701,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s0))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3702,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s0))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3703,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s0)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 2.48/2.69 tff(3704,plain,
% 2.48/2.69 (p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s0)),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3703, 217, 3700])).
% 2.48/2.69 tff(3705,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s1))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3706,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s1))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3707,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s1)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 2.48/2.69 tff(3708,plain,
% 2.48/2.69 (p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s1)),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3707, 203, 3704])).
% 2.48/2.69 tff(3709,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s0))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3710,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s0))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3711,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s0)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 2.48/2.69 tff(3712,plain,
% 2.48/2.69 (p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s0)),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3711, 232, 3708])).
% 2.48/2.69 tff(3713,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s1))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3714,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s1))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3715,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s1)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3714, 3713])).
% 2.48/2.69 tff(3716,plain,
% 2.48/2.69 ($false),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3715, 203, 3712, 40])).
% 2.48/2.69 tff(3717,plain,(p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.69 tff(3718,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s0))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3719,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s0))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3720,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s0)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3719, 3718])).
% 2.48/2.69 tff(3721,plain,
% 2.48/2.69 ($false),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3720, 217, 3717, 39])).
% 2.48/2.69 tff(3722,plain,(p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.69 tff(3723,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s1))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3724,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s1))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3725,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s1)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 2.48/2.69 tff(3726,plain,
% 2.48/2.69 (p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s1)),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3725, 203, 3722])).
% 2.48/2.69 tff(3727,plain,
% 2.48/2.69 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s0))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3728,plain,
% 2.48/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s0))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3729,plain,
% 2.48/2.69 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s0, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s0)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3728, 3727])).
% 2.48/2.69 tff(3730,plain,
% 2.48/2.69 ($false),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3729, 297, 3726, 38])).
% 2.48/2.69 tff(3731,plain,(p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.69 tff(3732,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s1))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3733,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s1))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3734,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s1)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 2.48/2.69 tff(3735,plain,
% 2.48/2.69 (p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s1)),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3734, 203, 3731])).
% 2.48/2.69 tff(3736,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s0))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3737,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s0))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3738,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s0)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 2.48/2.69 tff(3739,plain,
% 2.48/2.69 (p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s0)),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3738, 217, 3735])).
% 2.48/2.69 tff(3740,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s1))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3741,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s1))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.69 tff(3742,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s1)),
% 2.48/2.69 inference(modus_ponens,[status(thm)],[3741, 3740])).
% 2.48/2.69 tff(3743,plain,
% 2.48/2.69 (p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s1)),
% 2.48/2.69 inference(unit_resolution,[status(thm)],[3742, 203, 3739])).
% 2.48/2.69 tff(3744,plain,
% 2.48/2.69 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s0))),
% 2.48/2.69 inference(rewrite,[status(thm)],[])).
% 2.48/2.69 tff(3745,plain,
% 2.48/2.69 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s0))),
% 2.48/2.69 inference(quant_inst,[status(thm)],[])).
% 2.48/2.70 tff(3746,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s0)),
% 2.48/2.70 inference(modus_ponens,[status(thm)],[3745, 3744])).
% 2.48/2.70 tff(3747,plain,
% 2.48/2.70 ($false),
% 2.48/2.70 inference(unit_resolution,[status(thm)],[3746, 232, 3743, 37])).
% 2.48/2.70 tff(3748,plain,(p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.70 tff(3749,plain,
% 2.48/2.70 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s1))),
% 2.48/2.70 inference(rewrite,[status(thm)],[])).
% 2.48/2.70 tff(3750,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s1))),
% 2.48/2.70 inference(quant_inst,[status(thm)],[])).
% 2.48/2.70 tff(3751,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s1)),
% 2.48/2.70 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 2.48/2.70 tff(3752,plain,
% 2.48/2.70 (p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s1)),
% 2.48/2.70 inference(unit_resolution,[status(thm)],[3751, 203, 3748])).
% 2.48/2.70 tff(3753,plain,
% 2.48/2.70 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s0))),
% 2.48/2.70 inference(rewrite,[status(thm)],[])).
% 2.48/2.70 tff(3754,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s0))),
% 2.48/2.70 inference(quant_inst,[status(thm)],[])).
% 2.48/2.70 tff(3755,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s0)),
% 2.48/2.70 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 2.48/2.70 tff(3756,plain,
% 2.48/2.70 (p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s0)),
% 2.48/2.70 inference(unit_resolution,[status(thm)],[3755, 217, 3752])).
% 2.48/2.70 tff(3757,plain,
% 2.48/2.70 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s1))),
% 2.48/2.70 inference(rewrite,[status(thm)],[])).
% 2.48/2.70 tff(3758,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s1))),
% 2.48/2.70 inference(quant_inst,[status(thm)],[])).
% 2.48/2.70 tff(3759,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s1)),
% 2.48/2.70 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 2.48/2.70 tff(3760,plain,
% 2.48/2.70 ((~p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s1)),
% 2.48/2.70 inference(unit_resolution,[status(thm)],[3759, 203])).
% 2.48/2.70 tff(3761,plain,
% 2.48/2.70 (p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s1)),
% 2.48/2.70 inference(unit_resolution,[status(thm)],[3760, 3756])).
% 2.48/2.70 tff(3762,plain,
% 2.48/2.70 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s0))),
% 2.48/2.70 inference(rewrite,[status(thm)],[])).
% 2.48/2.70 tff(3763,plain,
% 2.48/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s0))),
% 2.48/2.70 inference(quant_inst,[status(thm)],[])).
% 2.48/2.70 tff(3764,plain,
% 2.48/2.70 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s0)),
% 2.48/2.70 inference(modus_ponens,[status(thm)],[3763, 3762])).
% 2.48/2.70 tff(3765,plain,
% 2.48/2.70 (p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s0)),
% 2.48/2.70 inference(unit_resolution,[status(thm)],[3764, 255, 3761])).
% 2.48/2.70 tff(3766,plain,
% 2.48/2.70 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s1))),
% 2.48/2.70 inference(rewrite,[status(thm)],[])).
% 2.48/2.70 tff(3767,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s1))),
% 2.48/2.70 inference(quant_inst,[status(thm)],[])).
% 2.48/2.70 tff(3768,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s1)),
% 2.48/2.70 inference(modus_ponens,[status(thm)],[3767, 3766])).
% 2.48/2.70 tff(3769,plain,
% 2.48/2.70 (p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s1)),
% 2.48/2.70 inference(unit_resolution,[status(thm)],[3768, 203, 3765])).
% 2.48/2.70 tff(3770,plain,
% 2.48/2.70 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s0))),
% 2.48/2.70 inference(rewrite,[status(thm)],[])).
% 2.48/2.70 tff(3771,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s0))),
% 2.48/2.70 inference(quant_inst,[status(thm)],[])).
% 2.48/2.70 tff(3772,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s0)),
% 2.48/2.70 inference(modus_ponens,[status(thm)],[3771, 3770])).
% 2.48/2.70 tff(3773,plain,
% 2.48/2.70 (p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s0)),
% 2.48/2.70 inference(unit_resolution,[status(thm)],[3772, 217, 3769])).
% 2.48/2.70 tff(3774,plain,
% 2.48/2.70 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s1))),
% 2.48/2.70 inference(rewrite,[status(thm)],[])).
% 2.48/2.70 tff(3775,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s1))),
% 2.48/2.70 inference(quant_inst,[status(thm)],[])).
% 2.48/2.70 tff(3776,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s1)),
% 2.48/2.70 inference(modus_ponens,[status(thm)],[3775, 3774])).
% 2.48/2.70 tff(3777,plain,
% 2.48/2.70 (p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s1)),
% 2.48/2.70 inference(unit_resolution,[status(thm)],[3776, 203, 3773])).
% 2.48/2.70 tff(3778,plain,
% 2.48/2.70 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s0))),
% 2.48/2.70 inference(rewrite,[status(thm)],[])).
% 2.48/2.70 tff(3779,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s0))),
% 2.48/2.70 inference(quant_inst,[status(thm)],[])).
% 2.48/2.70 tff(3780,plain,
% 2.48/2.70 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s0)),
% 2.48/2.70 inference(modus_ponens,[status(thm)],[3779, 3778])).
% 2.48/2.70 tff(3781,plain,
% 2.48/2.70 (p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s0)),
% 2.48/2.70 inference(unit_resolution,[status(thm)],[3780, 232, 3777])).
% 2.48/2.70 tff(3782,plain,
% 2.48/2.70 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s1))),
% 2.48/2.70 inference(rewrite,[status(thm)],[])).
% 2.48/2.70 tff(3783,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s1))),
% 2.48/2.71 inference(quant_inst,[status(thm)],[])).
% 2.48/2.71 tff(3784,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s1)),
% 2.48/2.71 inference(modus_ponens,[status(thm)],[3783, 3782])).
% 2.48/2.71 tff(3785,plain,
% 2.48/2.71 (p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s1)),
% 2.48/2.71 inference(unit_resolution,[status(thm)],[3784, 203, 3781])).
% 2.48/2.71 tff(3786,plain,
% 2.48/2.71 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s0))),
% 2.48/2.71 inference(rewrite,[status(thm)],[])).
% 2.48/2.71 tff(3787,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s0))),
% 2.48/2.71 inference(quant_inst,[status(thm)],[])).
% 2.48/2.71 tff(3788,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s0)),
% 2.48/2.71 inference(modus_ponens,[status(thm)],[3787, 3786])).
% 2.48/2.71 tff(3789,plain,
% 2.48/2.71 (p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s0)),
% 2.48/2.71 inference(unit_resolution,[status(thm)],[3788, 217, 3785])).
% 2.48/2.71 tff(3790,plain,
% 2.48/2.71 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s1))),
% 2.48/2.71 inference(rewrite,[status(thm)],[])).
% 2.48/2.71 tff(3791,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s1))),
% 2.48/2.71 inference(quant_inst,[status(thm)],[])).
% 2.48/2.71 tff(3792,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s1)),
% 2.48/2.71 inference(modus_ponens,[status(thm)],[3791, 3790])).
% 2.48/2.71 tff(3793,plain,
% 2.48/2.71 (p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s1)),
% 2.48/2.71 inference(unit_resolution,[status(thm)],[3792, 203, 3789])).
% 2.48/2.71 tff(3794,plain,
% 2.48/2.71 (((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s0))),
% 2.48/2.71 inference(rewrite,[status(thm)],[])).
% 2.48/2.71 tff(3795,plain,
% 2.48/2.71 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s0))),
% 2.48/2.71 inference(quant_inst,[status(thm)],[])).
% 2.48/2.71 tff(3796,plain,
% 2.48/2.71 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s1, s1, s0, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s0)),
% 2.48/2.71 inference(modus_ponens,[status(thm)],[3795, 3794])).
% 2.48/2.71 tff(3797,plain,
% 2.48/2.71 (p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s0)),
% 2.48/2.71 inference(unit_resolution,[status(thm)],[3796, 515, 3793])).
% 2.48/2.71 tff(3798,plain,
% 2.48/2.71 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s1))),
% 2.48/2.71 inference(rewrite,[status(thm)],[])).
% 2.48/2.71 tff(3799,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s1))),
% 2.48/2.71 inference(quant_inst,[status(thm)],[])).
% 2.48/2.71 tff(3800,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s1)),
% 2.48/2.71 inference(modus_ponens,[status(thm)],[3799, 3798])).
% 2.48/2.71 tff(3801,plain,
% 2.48/2.71 ($false),
% 2.48/2.71 inference(unit_resolution,[status(thm)],[3800, 203, 3797, 36])).
% 2.48/2.71 tff(3802,plain,(p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.71 tff(3803,plain,
% 2.48/2.71 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s0))),
% 2.48/2.71 inference(rewrite,[status(thm)],[])).
% 2.48/2.71 tff(3804,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s0))),
% 2.48/2.71 inference(quant_inst,[status(thm)],[])).
% 2.48/2.71 tff(3805,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s0)),
% 2.48/2.71 inference(modus_ponens,[status(thm)],[3804, 3803])).
% 2.48/2.71 tff(3806,plain,
% 2.48/2.71 ($false),
% 2.48/2.71 inference(unit_resolution,[status(thm)],[3805, 217, 3802, 35])).
% 2.48/2.71 tff(3807,plain,(p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.71 tff(3808,plain,
% 2.48/2.71 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s1))),
% 2.48/2.71 inference(rewrite,[status(thm)],[])).
% 2.48/2.71 tff(3809,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s1))),
% 2.48/2.71 inference(quant_inst,[status(thm)],[])).
% 2.48/2.71 tff(3810,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s1)),
% 2.48/2.71 inference(modus_ponens,[status(thm)],[3809, 3808])).
% 2.48/2.71 tff(3811,plain,
% 2.48/2.71 (p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s1)),
% 2.48/2.71 inference(unit_resolution,[status(thm)],[3810, 203, 3807])).
% 2.48/2.71 tff(3812,plain,
% 2.48/2.71 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s0))),
% 2.48/2.71 inference(rewrite,[status(thm)],[])).
% 2.48/2.71 tff(3813,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s0))),
% 2.48/2.71 inference(quant_inst,[status(thm)],[])).
% 2.48/2.71 tff(3814,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s0)),
% 2.48/2.71 inference(modus_ponens,[status(thm)],[3813, 3812])).
% 2.48/2.71 tff(3815,plain,
% 2.48/2.71 ($false),
% 2.48/2.71 inference(unit_resolution,[status(thm)],[3814, 232, 3811, 34])).
% 2.48/2.71 tff(3816,plain,(p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.48/2.71 tff(3817,plain,
% 2.48/2.71 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s1))),
% 2.48/2.71 inference(rewrite,[status(thm)],[])).
% 2.48/2.71 tff(3818,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s1))),
% 2.48/2.71 inference(quant_inst,[status(thm)],[])).
% 2.48/2.71 tff(3819,plain,
% 2.48/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s1)),
% 2.48/2.71 inference(modus_ponens,[status(thm)],[3818, 3817])).
% 2.48/2.71 tff(3820,plain,
% 2.48/2.71 (p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s1)),
% 2.48/2.71 inference(unit_resolution,[status(thm)],[3819, 203, 3816])).
% 2.48/2.71 tff(3821,plain,
% 2.48/2.71 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s0))),
% 2.56/2.71 inference(rewrite,[status(thm)],[])).
% 2.56/2.71 tff(3822,plain,
% 2.56/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s0))),
% 2.56/2.71 inference(quant_inst,[status(thm)],[])).
% 2.56/2.71 tff(3823,plain,
% 2.56/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s0)),
% 2.56/2.71 inference(modus_ponens,[status(thm)],[3822, 3821])).
% 2.56/2.71 tff(3824,plain,
% 2.56/2.71 (p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s0)),
% 2.56/2.71 inference(unit_resolution,[status(thm)],[3823, 217, 3820])).
% 2.56/2.71 tff(3825,plain,
% 2.56/2.71 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s1))),
% 2.56/2.71 inference(rewrite,[status(thm)],[])).
% 2.56/2.71 tff(3826,plain,
% 2.56/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s1))),
% 2.56/2.71 inference(quant_inst,[status(thm)],[])).
% 2.56/2.71 tff(3827,plain,
% 2.56/2.71 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s1)),
% 2.56/2.71 inference(modus_ponens,[status(thm)],[3826, 3825])).
% 2.56/2.71 tff(3828,plain,
% 2.56/2.71 (p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s1)),
% 2.56/2.71 inference(unit_resolution,[status(thm)],[3827, 203, 3824])).
% 2.56/2.71 tff(3829,plain,
% 2.56/2.71 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s0))),
% 2.56/2.71 inference(rewrite,[status(thm)],[])).
% 2.56/2.71 tff(3830,plain,
% 2.56/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s0))),
% 2.56/2.71 inference(quant_inst,[status(thm)],[])).
% 2.56/2.71 tff(3831,plain,
% 2.56/2.71 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s0)),
% 2.56/2.71 inference(modus_ponens,[status(thm)],[3830, 3829])).
% 2.56/2.71 tff(3832,plain,
% 2.56/2.71 ($false),
% 2.56/2.71 inference(unit_resolution,[status(thm)],[3831, 255, 3828, 33])).
% 2.56/2.71 tff(3833,plain,(p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.71 tff(3834,plain,
% 2.56/2.71 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s1))),
% 2.56/2.72 inference(rewrite,[status(thm)],[])).
% 2.56/2.72 tff(3835,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s1))),
% 2.56/2.72 inference(quant_inst,[status(thm)],[])).
% 2.56/2.72 tff(3836,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s1)),
% 2.56/2.72 inference(modus_ponens,[status(thm)],[3835, 3834])).
% 2.56/2.72 tff(3837,plain,
% 2.56/2.72 (p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s1)),
% 2.56/2.72 inference(unit_resolution,[status(thm)],[3836, 203, 3833])).
% 2.56/2.72 tff(3838,plain,
% 2.56/2.72 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s0))),
% 2.56/2.72 inference(rewrite,[status(thm)],[])).
% 2.56/2.72 tff(3839,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s0))),
% 2.56/2.72 inference(quant_inst,[status(thm)],[])).
% 2.56/2.72 tff(3840,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s0)),
% 2.56/2.72 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 2.56/2.72 tff(3841,plain,
% 2.56/2.72 (p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s0)),
% 2.56/2.72 inference(unit_resolution,[status(thm)],[3840, 217, 3837])).
% 2.56/2.72 tff(3842,plain,
% 2.56/2.72 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s1))),
% 2.56/2.72 inference(rewrite,[status(thm)],[])).
% 2.56/2.72 tff(3843,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s1))),
% 2.56/2.72 inference(quant_inst,[status(thm)],[])).
% 2.56/2.72 tff(3844,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s1)),
% 2.56/2.72 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 2.56/2.72 tff(3845,plain,
% 2.56/2.72 ((~p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s1)),
% 2.56/2.72 inference(unit_resolution,[status(thm)],[3844, 203])).
% 2.56/2.72 tff(3846,plain,
% 2.56/2.72 (p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s1)),
% 2.56/2.72 inference(unit_resolution,[status(thm)],[3845, 3841])).
% 2.56/2.72 tff(3847,plain,
% 2.56/2.72 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s0))),
% 2.56/2.72 inference(rewrite,[status(thm)],[])).
% 2.56/2.72 tff(3848,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s0))),
% 2.56/2.72 inference(quant_inst,[status(thm)],[])).
% 2.56/2.72 tff(3849,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s0)),
% 2.56/2.72 inference(modus_ponens,[status(thm)],[3848, 3847])).
% 2.56/2.72 tff(3850,plain,
% 2.56/2.72 (p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s0)),
% 2.56/2.72 inference(unit_resolution,[status(thm)],[3849, 232, 3846])).
% 2.56/2.72 tff(3851,plain,
% 2.56/2.72 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s1))),
% 2.56/2.72 inference(rewrite,[status(thm)],[])).
% 2.56/2.72 tff(3852,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s1))),
% 2.56/2.72 inference(quant_inst,[status(thm)],[])).
% 2.56/2.72 tff(3853,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s1)),
% 2.56/2.72 inference(modus_ponens,[status(thm)],[3852, 3851])).
% 2.56/2.72 tff(3854,plain,
% 2.56/2.72 (p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s1)),
% 2.56/2.72 inference(unit_resolution,[status(thm)],[3853, 203, 3850])).
% 2.56/2.72 tff(3855,plain,
% 2.56/2.72 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s0))),
% 2.56/2.72 inference(rewrite,[status(thm)],[])).
% 2.56/2.72 tff(3856,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s0))),
% 2.56/2.72 inference(quant_inst,[status(thm)],[])).
% 2.56/2.72 tff(3857,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s0)),
% 2.56/2.72 inference(modus_ponens,[status(thm)],[3856, 3855])).
% 2.56/2.72 tff(3858,plain,
% 2.56/2.72 (p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s0)),
% 2.56/2.72 inference(unit_resolution,[status(thm)],[3857, 217, 3854])).
% 2.56/2.72 tff(3859,plain,
% 2.56/2.72 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s1))),
% 2.56/2.72 inference(rewrite,[status(thm)],[])).
% 2.56/2.72 tff(3860,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s1))),
% 2.56/2.72 inference(quant_inst,[status(thm)],[])).
% 2.56/2.72 tff(3861,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s1)),
% 2.56/2.72 inference(modus_ponens,[status(thm)],[3860, 3859])).
% 2.56/2.72 tff(3862,plain,
% 2.56/2.72 (p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s1)),
% 2.56/2.72 inference(unit_resolution,[status(thm)],[3861, 203, 3858])).
% 2.56/2.72 tff(3863,plain,
% 2.56/2.72 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s0))),
% 2.56/2.72 inference(rewrite,[status(thm)],[])).
% 2.56/2.72 tff(3864,plain,
% 2.56/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s0))),
% 2.56/2.72 inference(quant_inst,[status(thm)],[])).
% 2.56/2.72 tff(3865,plain,
% 2.56/2.72 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s0, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s0)),
% 2.56/2.72 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 2.56/2.72 tff(3866,plain,
% 2.56/2.72 (p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s0)),
% 2.56/2.72 inference(unit_resolution,[status(thm)],[3865, 297, 3862])).
% 2.56/2.72 tff(3867,plain,
% 2.56/2.72 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s1))),
% 2.56/2.72 inference(rewrite,[status(thm)],[])).
% 2.56/2.72 tff(3868,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s1))),
% 2.56/2.72 inference(quant_inst,[status(thm)],[])).
% 2.56/2.72 tff(3869,plain,
% 2.56/2.72 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s1)),
% 2.56/2.72 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 2.56/2.72 tff(3870,plain,
% 2.56/2.72 (p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s1)),
% 2.56/2.72 inference(unit_resolution,[status(thm)],[3869, 203, 3866])).
% 2.56/2.72 tff(3871,plain,
% 2.56/2.72 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s0))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3872,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s0))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3873,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s0)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3872, 3871])).
% 2.56/2.73 tff(3874,plain,
% 2.56/2.73 (p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s0)),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3873, 217, 3870])).
% 2.56/2.73 tff(3875,plain,
% 2.56/2.73 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s1))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3876,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s1))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3877,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s1)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 2.56/2.73 tff(3878,plain,
% 2.56/2.73 (p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s1)),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3877, 203, 3874])).
% 2.56/2.73 tff(3879,plain,
% 2.56/2.73 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s0))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3880,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s0))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3881,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s0)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3880, 3879])).
% 2.56/2.73 tff(3882,plain,
% 2.56/2.73 (p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s0)),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3881, 232, 3878])).
% 2.56/2.73 tff(3883,plain,
% 2.56/2.73 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s1))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3884,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s1))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3885,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s1)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 2.56/2.73 tff(3886,plain,
% 2.56/2.73 ($false),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3885, 203, 3882, 32])).
% 2.56/2.73 tff(3887,plain,(p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.73 tff(3888,plain,
% 2.56/2.73 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s0))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3889,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s0))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3890,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s0)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 2.56/2.73 tff(3891,plain,
% 2.56/2.73 ($false),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3890, 217, 3887, 31])).
% 2.56/2.73 tff(3892,plain,(p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.73 tff(3893,plain,
% 2.56/2.73 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s1))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3894,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s1))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3895,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s1)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3894, 3893])).
% 2.56/2.73 tff(3896,plain,
% 2.56/2.73 (p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s1)),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3895, 203, 3892])).
% 2.56/2.73 tff(3897,plain,
% 2.56/2.73 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s0))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3898,plain,
% 2.56/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s0))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3899,plain,
% 2.56/2.73 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s0)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 2.56/2.73 tff(3900,plain,
% 2.56/2.73 ($false),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3899, 255, 3896, 30])).
% 2.56/2.73 tff(3901,plain,(p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.73 tff(3902,plain,
% 2.56/2.73 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s1))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3903,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s1))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3904,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s1)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 2.56/2.73 tff(3905,plain,
% 2.56/2.73 (p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s1)),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3904, 203, 3901])).
% 2.56/2.73 tff(3906,plain,
% 2.56/2.73 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s0))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3907,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s0))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3908,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s0)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 2.56/2.73 tff(3909,plain,
% 2.56/2.73 (p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s0)),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3908, 217, 3905])).
% 2.56/2.73 tff(3910,plain,
% 2.56/2.73 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s1))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3911,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s1))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3912,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s1)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 2.56/2.73 tff(3913,plain,
% 2.56/2.73 (p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s1)),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3912, 203, 3909])).
% 2.56/2.73 tff(3914,plain,
% 2.56/2.73 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s0))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3915,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s0))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3916,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s0)),
% 2.56/2.73 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 2.56/2.73 tff(3917,plain,
% 2.56/2.73 ($false),
% 2.56/2.73 inference(unit_resolution,[status(thm)],[3916, 232, 3913, 29])).
% 2.56/2.73 tff(3918,plain,(p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.73 tff(3919,plain,
% 2.56/2.73 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s1))),
% 2.56/2.73 inference(rewrite,[status(thm)],[])).
% 2.56/2.73 tff(3920,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s1))),
% 2.56/2.73 inference(quant_inst,[status(thm)],[])).
% 2.56/2.73 tff(3921,plain,
% 2.56/2.73 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s1)),
% 2.56/2.74 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 2.56/2.74 tff(3922,plain,
% 2.56/2.74 (p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s1)),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[3921, 203, 3918])).
% 2.56/2.74 tff(3923,plain,
% 2.56/2.74 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s0))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(3924,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s0))),
% 2.56/2.74 inference(quant_inst,[status(thm)],[])).
% 2.56/2.74 tff(3925,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s0)),
% 2.56/2.74 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 2.56/2.74 tff(3926,plain,
% 2.56/2.74 (p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s0)),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[3925, 217, 3922])).
% 2.56/2.74 tff(3927,plain,
% 2.56/2.74 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s1))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(3928,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s1))),
% 2.56/2.74 inference(quant_inst,[status(thm)],[])).
% 2.56/2.74 tff(3929,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s1)),
% 2.56/2.74 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 2.56/2.74 tff(3930,plain,
% 2.56/2.74 ((~p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s1)),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[3929, 203])).
% 2.56/2.74 tff(3931,plain,
% 2.56/2.74 (p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s1)),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[3930, 3926])).
% 2.56/2.74 tff(3932,plain,
% 2.56/2.74 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s0))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(3933,plain,
% 2.56/2.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s0))),
% 2.56/2.74 inference(quant_inst,[status(thm)],[])).
% 2.56/2.74 tff(3934,plain,
% 2.56/2.74 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s1, s0, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s0)),
% 2.56/2.74 inference(modus_ponens,[status(thm)],[3933, 3932])).
% 2.56/2.74 tff(3935,plain,
% 2.56/2.74 (p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s0)),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[3934, 371, 3931])).
% 2.56/2.74 tff(3936,plain,
% 2.56/2.74 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s1))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(3937,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s1))),
% 2.56/2.74 inference(quant_inst,[status(thm)],[])).
% 2.56/2.74 tff(3938,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s1)),
% 2.56/2.74 inference(modus_ponens,[status(thm)],[3937, 3936])).
% 2.56/2.74 tff(3939,plain,
% 2.56/2.74 (p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s1)),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[3938, 203, 3935])).
% 2.56/2.74 tff(3940,plain,
% 2.56/2.74 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s0))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(3941,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s0))),
% 2.56/2.74 inference(quant_inst,[status(thm)],[])).
% 2.56/2.74 tff(3942,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s0)),
% 2.56/2.74 inference(modus_ponens,[status(thm)],[3941, 3940])).
% 2.56/2.74 tff(3943,plain,
% 2.56/2.74 (p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s0)),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[3942, 217, 3939])).
% 2.56/2.74 tff(3944,plain,
% 2.56/2.74 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s1))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(3945,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s1))),
% 2.56/2.74 inference(quant_inst,[status(thm)],[])).
% 2.56/2.74 tff(3946,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s1)),
% 2.56/2.74 inference(modus_ponens,[status(thm)],[3945, 3944])).
% 2.56/2.74 tff(3947,plain,
% 2.56/2.74 (p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s1)),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[3946, 203, 3943])).
% 2.56/2.74 tff(3948,plain,
% 2.56/2.74 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s0))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(3949,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s0))),
% 2.56/2.74 inference(quant_inst,[status(thm)],[])).
% 2.56/2.74 tff(3950,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s0)),
% 2.56/2.74 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 2.56/2.74 tff(3951,plain,
% 2.56/2.74 (p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s0)),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[3950, 232, 3947])).
% 2.56/2.74 tff(3952,plain,
% 2.56/2.74 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s1))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(3953,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s1))),
% 2.56/2.74 inference(quant_inst,[status(thm)],[])).
% 2.56/2.74 tff(3954,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s1)),
% 2.56/2.74 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 2.56/2.74 tff(3955,plain,
% 2.56/2.74 (p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s1)),
% 2.56/2.74 inference(unit_resolution,[status(thm)],[3954, 203, 3951])).
% 2.56/2.74 tff(3956,plain,
% 2.56/2.74 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s0))),
% 2.56/2.74 inference(rewrite,[status(thm)],[])).
% 2.56/2.74 tff(3957,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s0))),
% 2.56/2.74 inference(quant_inst,[status(thm)],[])).
% 2.56/2.74 tff(3958,plain,
% 2.56/2.74 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s0)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[3957, 3956])).
% 2.56/2.75 tff(3959,plain,
% 2.56/2.75 (p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s0)),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[3958, 217, 3955])).
% 2.56/2.75 tff(3960,plain,
% 2.56/2.75 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s1))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(3961,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s1))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(3962,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s1)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 2.56/2.75 tff(3963,plain,
% 2.56/2.75 (p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s1)),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[3962, 203, 3959])).
% 2.56/2.75 tff(3964,plain,
% 2.56/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s0))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(3965,plain,
% 2.56/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s0))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(3966,plain,
% 2.56/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s0)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[3965, 3964])).
% 2.56/2.75 tff(3967,plain,
% 2.56/2.75 (p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s0)),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[3966, 255, 3963])).
% 2.56/2.75 tff(3968,plain,
% 2.56/2.75 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s1))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(3969,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s1))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(3970,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s1)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[3969, 3968])).
% 2.56/2.75 tff(3971,plain,
% 2.56/2.75 ($false),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[3970, 203, 3967, 28])).
% 2.56/2.75 tff(3972,plain,(p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.75 tff(3973,plain,
% 2.56/2.75 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s0))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(3974,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s0))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(3975,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s0)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[3974, 3973])).
% 2.56/2.75 tff(3976,plain,
% 2.56/2.75 ($false),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[3975, 217, 3972, 27])).
% 2.56/2.75 tff(3977,plain,(p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.75 tff(3978,plain,
% 2.56/2.75 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s1))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(3979,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s1))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(3980,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s1)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 2.56/2.75 tff(3981,plain,
% 2.56/2.75 (p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s1)),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[3980, 203, 3977])).
% 2.56/2.75 tff(3982,plain,
% 2.56/2.75 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s0))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(3983,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s0))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(3984,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s0)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 2.56/2.75 tff(3985,plain,
% 2.56/2.75 ($false),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[3984, 232, 3981, 26])).
% 2.56/2.75 tff(3986,plain,(p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.75 tff(3987,plain,
% 2.56/2.75 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s1))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(3988,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s1))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(3989,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s1)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 2.56/2.75 tff(3990,plain,
% 2.56/2.75 (p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s1)),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[3989, 203, 3986])).
% 2.56/2.75 tff(3991,plain,
% 2.56/2.75 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s0))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(3992,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s0))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(3993,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s0)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 2.56/2.75 tff(3994,plain,
% 2.56/2.75 (p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s0)),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[3993, 217, 3990])).
% 2.56/2.75 tff(3995,plain,
% 2.56/2.75 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s1))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(3996,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s1))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(3997,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s1)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 2.56/2.75 tff(3998,plain,
% 2.56/2.75 (p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s1)),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[3997, 203, 3994])).
% 2.56/2.75 tff(3999,plain,
% 2.56/2.75 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s0))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(4000,plain,
% 2.56/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s0))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(4001,plain,
% 2.56/2.75 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s0, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s0)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 2.56/2.75 tff(4002,plain,
% 2.56/2.75 ($false),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[4001, 297, 3998, 25])).
% 2.56/2.75 tff(4003,plain,(p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.75 tff(4004,plain,
% 2.56/2.75 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s1))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(4005,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s1))),
% 2.56/2.75 inference(quant_inst,[status(thm)],[])).
% 2.56/2.75 tff(4006,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s1)),
% 2.56/2.75 inference(modus_ponens,[status(thm)],[4005, 4004])).
% 2.56/2.75 tff(4007,plain,
% 2.56/2.75 (p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s1)),
% 2.56/2.75 inference(unit_resolution,[status(thm)],[4006, 203, 4003])).
% 2.56/2.75 tff(4008,plain,
% 2.56/2.75 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s0))),
% 2.56/2.75 inference(rewrite,[status(thm)],[])).
% 2.56/2.75 tff(4009,plain,
% 2.56/2.75 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s0))),
% 2.56/2.76 inference(quant_inst,[status(thm)],[])).
% 2.56/2.76 tff(4010,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s0)),
% 2.56/2.76 inference(modus_ponens,[status(thm)],[4009, 4008])).
% 2.56/2.76 tff(4011,plain,
% 2.56/2.76 (p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s0)),
% 2.56/2.76 inference(unit_resolution,[status(thm)],[4010, 217, 4007])).
% 2.56/2.76 tff(4012,plain,
% 2.56/2.76 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s1))),
% 2.56/2.76 inference(rewrite,[status(thm)],[])).
% 2.56/2.76 tff(4013,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s1))),
% 2.56/2.76 inference(quant_inst,[status(thm)],[])).
% 2.56/2.76 tff(4014,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s1)),
% 2.56/2.76 inference(modus_ponens,[status(thm)],[4013, 4012])).
% 2.56/2.76 tff(4015,plain,
% 2.56/2.76 ((~p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s1)),
% 2.56/2.76 inference(unit_resolution,[status(thm)],[4014, 203])).
% 2.56/2.76 tff(4016,plain,
% 2.56/2.76 (p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s1)),
% 2.56/2.76 inference(unit_resolution,[status(thm)],[4015, 4011])).
% 2.56/2.76 tff(4017,plain,
% 2.56/2.76 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s0))),
% 2.56/2.76 inference(rewrite,[status(thm)],[])).
% 2.56/2.76 tff(4018,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s0))),
% 2.56/2.76 inference(quant_inst,[status(thm)],[])).
% 2.56/2.76 tff(4019,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s0)),
% 2.56/2.76 inference(modus_ponens,[status(thm)],[4018, 4017])).
% 2.56/2.76 tff(4020,plain,
% 2.56/2.76 (p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s0)),
% 2.56/2.76 inference(unit_resolution,[status(thm)],[4019, 232, 4016])).
% 2.56/2.76 tff(4021,plain,
% 2.56/2.76 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s1))),
% 2.56/2.76 inference(rewrite,[status(thm)],[])).
% 2.56/2.76 tff(4022,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s1))),
% 2.56/2.76 inference(quant_inst,[status(thm)],[])).
% 2.56/2.76 tff(4023,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s1)),
% 2.56/2.76 inference(modus_ponens,[status(thm)],[4022, 4021])).
% 2.56/2.76 tff(4024,plain,
% 2.56/2.76 (p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s1)),
% 2.56/2.76 inference(unit_resolution,[status(thm)],[4023, 203, 4020])).
% 2.56/2.76 tff(4025,plain,
% 2.56/2.76 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s0))),
% 2.56/2.76 inference(rewrite,[status(thm)],[])).
% 2.56/2.76 tff(4026,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s0))),
% 2.56/2.76 inference(quant_inst,[status(thm)],[])).
% 2.56/2.76 tff(4027,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s0)),
% 2.56/2.76 inference(modus_ponens,[status(thm)],[4026, 4025])).
% 2.56/2.76 tff(4028,plain,
% 2.56/2.76 (p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s0)),
% 2.56/2.76 inference(unit_resolution,[status(thm)],[4027, 217, 4024])).
% 2.56/2.76 tff(4029,plain,
% 2.56/2.76 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s1))),
% 2.56/2.76 inference(rewrite,[status(thm)],[])).
% 2.56/2.76 tff(4030,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s1))),
% 2.56/2.76 inference(quant_inst,[status(thm)],[])).
% 2.56/2.76 tff(4031,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s1)),
% 2.56/2.76 inference(modus_ponens,[status(thm)],[4030, 4029])).
% 2.56/2.76 tff(4032,plain,
% 2.56/2.76 (p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s1)),
% 2.56/2.76 inference(unit_resolution,[status(thm)],[4031, 203, 4028])).
% 2.56/2.76 tff(4033,plain,
% 2.56/2.76 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s0))),
% 2.56/2.76 inference(rewrite,[status(thm)],[])).
% 2.56/2.76 tff(4034,plain,
% 2.56/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s0))),
% 2.56/2.76 inference(quant_inst,[status(thm)],[])).
% 2.56/2.76 tff(4035,plain,
% 2.56/2.76 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s0, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s0)),
% 2.56/2.76 inference(modus_ponens,[status(thm)],[4034, 4033])).
% 2.56/2.76 tff(4036,plain,
% 2.56/2.76 (p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s0)),
% 2.56/2.76 inference(unit_resolution,[status(thm)],[4035, 255, 4032])).
% 2.56/2.76 tff(4037,plain,
% 2.56/2.76 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s1))),
% 2.56/2.76 inference(rewrite,[status(thm)],[])).
% 2.56/2.76 tff(4038,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s1))),
% 2.56/2.76 inference(quant_inst,[status(thm)],[])).
% 2.56/2.76 tff(4039,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s1)),
% 2.56/2.76 inference(modus_ponens,[status(thm)],[4038, 4037])).
% 2.56/2.76 tff(4040,plain,
% 2.56/2.76 (p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s1)),
% 2.56/2.76 inference(unit_resolution,[status(thm)],[4039, 203, 4036])).
% 2.56/2.76 tff(4041,plain,
% 2.56/2.76 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s0))),
% 2.56/2.76 inference(rewrite,[status(thm)],[])).
% 2.56/2.76 tff(4042,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s0))),
% 2.56/2.76 inference(quant_inst,[status(thm)],[])).
% 2.56/2.76 tff(4043,plain,
% 2.56/2.76 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s0)),
% 2.56/2.76 inference(modus_ponens,[status(thm)],[4042, 4041])).
% 2.56/2.76 tff(4044,plain,
% 2.56/2.76 (p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s0)),
% 2.56/2.76 inference(unit_resolution,[status(thm)],[4043, 217, 4040])).
% 2.56/2.76 tff(4045,plain,
% 2.56/2.76 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s1))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4046,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s1))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4047,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s1)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4046, 4045])).
% 2.56/2.77 tff(4048,plain,
% 2.56/2.77 (p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s1)),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4047, 203, 4044])).
% 2.56/2.77 tff(4049,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s0))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4050,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s0))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4051,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s0, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s0)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 2.56/2.77 tff(4052,plain,
% 2.56/2.77 (p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s0)),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4051, 232, 4048])).
% 2.56/2.77 tff(4053,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s1))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4054,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s1))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4055,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s1)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4054, 4053])).
% 2.56/2.77 tff(4056,plain,
% 2.56/2.77 ($false),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4055, 203, 4052, 24])).
% 2.56/2.77 tff(4057,plain,(p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.77 tff(4058,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s0))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4059,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s0))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4060,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s0, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s0)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4059, 4058])).
% 2.56/2.77 tff(4061,plain,
% 2.56/2.77 ($false),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4060, 217, 4057, 23])).
% 2.56/2.77 tff(4062,plain,(p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.77 tff(4063,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s1))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4064,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s1))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4065,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s1)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4064, 4063])).
% 2.56/2.77 tff(4066,plain,
% 2.56/2.77 (p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s1)),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4065, 203, 4062])).
% 2.56/2.77 tff(4067,plain,
% 2.56/2.77 (((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | (~p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s0))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4068,plain,
% 2.56/2.77 ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s0))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4069,plain,
% 2.56/2.77 ((~![X0: $i, X1: $i] : ((~p(X0, X1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(X0, X1, s1, s0, s0, s0, s0, s0, s0, s0))) | (~p(s1, s1, s0, s1, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s0)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 2.56/2.77 tff(4070,plain,
% 2.56/2.77 ($false),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4069, 793, 4066, 22])).
% 2.56/2.77 tff(4071,plain,(p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.77 tff(4072,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s1))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4073,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s1))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4074,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s1)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4073, 4072])).
% 2.56/2.77 tff(4075,plain,
% 2.56/2.77 (p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s1)),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4074, 203, 4071])).
% 2.56/2.77 tff(4076,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s0))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4077,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s0))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4078,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s0)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4077, 4076])).
% 2.56/2.77 tff(4079,plain,
% 2.56/2.77 (p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s0)),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4078, 217, 4075])).
% 2.56/2.77 tff(4080,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s1))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4081,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s1))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4082,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s1)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4081, 4080])).
% 2.56/2.77 tff(4083,plain,
% 2.56/2.77 (p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s1)),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4082, 203, 4079])).
% 2.56/2.77 tff(4084,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s0))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4085,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s0))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4086,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s0)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4085, 4084])).
% 2.56/2.77 tff(4087,plain,
% 2.56/2.77 ($false),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4086, 232, 4083, 21])).
% 2.56/2.77 tff(4088,plain,(p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.56/2.77 tff(4089,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s1))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4090,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s1))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4091,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s1)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4090, 4089])).
% 2.56/2.77 tff(4092,plain,
% 2.56/2.77 (p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s1)),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4091, 203, 4088])).
% 2.56/2.77 tff(4093,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s0))),
% 2.56/2.77 inference(rewrite,[status(thm)],[])).
% 2.56/2.77 tff(4094,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s0))),
% 2.56/2.77 inference(quant_inst,[status(thm)],[])).
% 2.56/2.77 tff(4095,plain,
% 2.56/2.77 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s0)),
% 2.56/2.77 inference(modus_ponens,[status(thm)],[4094, 4093])).
% 2.56/2.77 tff(4096,plain,
% 2.56/2.77 (p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s0)),
% 2.56/2.77 inference(unit_resolution,[status(thm)],[4095, 217, 4092])).
% 2.56/2.77 tff(4097,plain,
% 2.56/2.77 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s1))),
% 2.56/2.78 inference(rewrite,[status(thm)],[])).
% 2.56/2.78 tff(4098,plain,
% 2.56/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s1))),
% 2.56/2.78 inference(quant_inst,[status(thm)],[])).
% 2.56/2.78 tff(4099,plain,
% 2.56/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s1)),
% 2.56/2.78 inference(modus_ponens,[status(thm)],[4098, 4097])).
% 2.56/2.78 tff(4100,plain,
% 2.56/2.78 ((~p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s1)),
% 2.56/2.78 inference(unit_resolution,[status(thm)],[4099, 203])).
% 2.56/2.78 tff(4101,plain,
% 2.56/2.78 (p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s1)),
% 2.56/2.78 inference(unit_resolution,[status(thm)],[4100, 4096])).
% 2.56/2.78 tff(4102,plain,
% 2.56/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s0))),
% 2.56/2.78 inference(rewrite,[status(thm)],[])).
% 2.56/2.78 tff(4103,plain,
% 2.56/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s0))),
% 2.56/2.78 inference(quant_inst,[status(thm)],[])).
% 2.56/2.78 tff(4104,plain,
% 2.56/2.78 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s0, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s0)),
% 2.56/2.78 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 2.56/2.78 tff(4105,plain,
% 2.56/2.78 (p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s0)),
% 2.56/2.78 inference(unit_resolution,[status(thm)],[4104, 255, 4101])).
% 2.56/2.78 tff(4106,plain,
% 2.56/2.78 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s1))),
% 2.56/2.78 inference(rewrite,[status(thm)],[])).
% 2.56/2.78 tff(4107,plain,
% 2.56/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s1))),
% 2.56/2.78 inference(quant_inst,[status(thm)],[])).
% 2.56/2.78 tff(4108,plain,
% 2.56/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s1)),
% 2.56/2.78 inference(modus_ponens,[status(thm)],[4107, 4106])).
% 2.56/2.78 tff(4109,plain,
% 2.56/2.78 (p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s1)),
% 2.56/2.78 inference(unit_resolution,[status(thm)],[4108, 203, 4105])).
% 2.56/2.78 tff(4110,plain,
% 2.56/2.78 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s0))),
% 2.63/2.78 inference(rewrite,[status(thm)],[])).
% 2.63/2.78 tff(4111,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s0))),
% 2.63/2.78 inference(quant_inst,[status(thm)],[])).
% 2.63/2.78 tff(4112,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s0)),
% 2.63/2.78 inference(modus_ponens,[status(thm)],[4111, 4110])).
% 2.63/2.78 tff(4113,plain,
% 2.63/2.78 (p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s0)),
% 2.63/2.78 inference(unit_resolution,[status(thm)],[4112, 217, 4109])).
% 2.63/2.78 tff(4114,plain,
% 2.63/2.78 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s1))),
% 2.63/2.78 inference(rewrite,[status(thm)],[])).
% 2.63/2.78 tff(4115,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s1))),
% 2.63/2.78 inference(quant_inst,[status(thm)],[])).
% 2.63/2.78 tff(4116,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s1)),
% 2.63/2.78 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 2.63/2.78 tff(4117,plain,
% 2.63/2.78 (p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s1)),
% 2.63/2.78 inference(unit_resolution,[status(thm)],[4116, 203, 4113])).
% 2.63/2.78 tff(4118,plain,
% 2.63/2.78 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s0))),
% 2.63/2.78 inference(rewrite,[status(thm)],[])).
% 2.63/2.78 tff(4119,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s0))),
% 2.63/2.78 inference(quant_inst,[status(thm)],[])).
% 2.63/2.78 tff(4120,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s0)),
% 2.63/2.78 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 2.63/2.78 tff(4121,plain,
% 2.63/2.78 (p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s0)),
% 2.63/2.78 inference(unit_resolution,[status(thm)],[4120, 232, 4117])).
% 2.63/2.78 tff(4122,plain,
% 2.63/2.78 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s1))),
% 2.63/2.78 inference(rewrite,[status(thm)],[])).
% 2.63/2.78 tff(4123,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s1))),
% 2.63/2.78 inference(quant_inst,[status(thm)],[])).
% 2.63/2.78 tff(4124,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s1)),
% 2.63/2.78 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 2.63/2.78 tff(4125,plain,
% 2.63/2.78 (p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s1)),
% 2.63/2.78 inference(unit_resolution,[status(thm)],[4124, 203, 4121])).
% 2.63/2.78 tff(4126,plain,
% 2.63/2.78 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s0))),
% 2.63/2.78 inference(rewrite,[status(thm)],[])).
% 2.63/2.78 tff(4127,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s0))),
% 2.63/2.78 inference(quant_inst,[status(thm)],[])).
% 2.63/2.78 tff(4128,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s0)),
% 2.63/2.78 inference(modus_ponens,[status(thm)],[4127, 4126])).
% 2.63/2.78 tff(4129,plain,
% 2.63/2.78 (p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s0)),
% 2.63/2.78 inference(unit_resolution,[status(thm)],[4128, 217, 4125])).
% 2.63/2.78 tff(4130,plain,
% 2.63/2.78 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s1))),
% 2.63/2.78 inference(rewrite,[status(thm)],[])).
% 2.63/2.78 tff(4131,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s1))),
% 2.63/2.78 inference(quant_inst,[status(thm)],[])).
% 2.63/2.78 tff(4132,plain,
% 2.63/2.78 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s1)),
% 2.63/2.78 inference(modus_ponens,[status(thm)],[4131, 4130])).
% 2.63/2.78 tff(4133,plain,
% 2.63/2.78 (p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s1)),
% 2.63/2.78 inference(unit_resolution,[status(thm)],[4132, 203, 4129])).
% 2.63/2.78 tff(4134,plain,
% 2.63/2.78 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s0))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4135,plain,
% 2.63/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s0))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4136,plain,
% 2.63/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s1, s0, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s0)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4135, 4134])).
% 2.63/2.79 tff(4137,plain,
% 2.63/2.79 (p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s0)),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4136, 297, 4133])).
% 2.63/2.79 tff(4138,plain,
% 2.63/2.79 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s1))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4139,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s1))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4140,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s1)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4139, 4138])).
% 2.63/2.79 tff(4141,plain,
% 2.63/2.79 ($false),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4140, 203, 4137, 20])).
% 2.63/2.79 tff(4142,plain,(p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.79 tff(4143,plain,
% 2.63/2.79 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s0))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4144,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s0))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4145,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s0)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4144, 4143])).
% 2.63/2.79 tff(4146,plain,
% 2.63/2.79 ($false),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4145, 217, 4142, 19])).
% 2.63/2.79 tff(4147,plain,(p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.79 tff(4148,plain,
% 2.63/2.79 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s1))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4149,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s1))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4150,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s1)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4149, 4148])).
% 2.63/2.79 tff(4151,plain,
% 2.63/2.79 (p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s1)),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4150, 203, 4147])).
% 2.63/2.79 tff(4152,plain,
% 2.63/2.79 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s0))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4153,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s0))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4154,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s0)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4153, 4152])).
% 2.63/2.79 tff(4155,plain,
% 2.63/2.79 ($false),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4154, 232, 4151, 18])).
% 2.63/2.79 tff(4156,plain,(p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.79 tff(4157,plain,
% 2.63/2.79 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s1))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4158,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s1))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4159,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s1)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4158, 4157])).
% 2.63/2.79 tff(4160,plain,
% 2.63/2.79 (p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s1)),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4159, 203, 4156])).
% 2.63/2.79 tff(4161,plain,
% 2.63/2.79 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s0))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4162,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s0))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4163,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s0)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4162, 4161])).
% 2.63/2.79 tff(4164,plain,
% 2.63/2.79 (p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s0)),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4163, 217, 4160])).
% 2.63/2.79 tff(4165,plain,
% 2.63/2.79 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s1))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4166,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s1))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4167,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s1)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4166, 4165])).
% 2.63/2.79 tff(4168,plain,
% 2.63/2.79 (p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s1)),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4167, 203, 4164])).
% 2.63/2.79 tff(4169,plain,
% 2.63/2.79 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s0))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4170,plain,
% 2.63/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s0))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4171,plain,
% 2.63/2.79 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s0, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s0)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4170, 4169])).
% 2.63/2.79 tff(4172,plain,
% 2.63/2.79 ($false),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4171, 255, 4168, 17])).
% 2.63/2.79 tff(4173,plain,(p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.79 tff(4174,plain,
% 2.63/2.79 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s1))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4175,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s1))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4176,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s1)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4175, 4174])).
% 2.63/2.79 tff(4177,plain,
% 2.63/2.79 (p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s1)),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4176, 203, 4173])).
% 2.63/2.79 tff(4178,plain,
% 2.63/2.79 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s0))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4179,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s0))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4180,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s0)),
% 2.63/2.79 inference(modus_ponens,[status(thm)],[4179, 4178])).
% 2.63/2.79 tff(4181,plain,
% 2.63/2.79 (p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s0)),
% 2.63/2.79 inference(unit_resolution,[status(thm)],[4180, 217, 4177])).
% 2.63/2.79 tff(4182,plain,
% 2.63/2.79 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s1))),
% 2.63/2.79 inference(rewrite,[status(thm)],[])).
% 2.63/2.79 tff(4183,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s1))),
% 2.63/2.79 inference(quant_inst,[status(thm)],[])).
% 2.63/2.79 tff(4184,plain,
% 2.63/2.79 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s1)),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[4183, 4182])).
% 2.63/2.80 tff(4185,plain,
% 2.63/2.80 ((~p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s1)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4184, 203])).
% 2.63/2.80 tff(4186,plain,
% 2.63/2.80 (p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s1)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4185, 4181])).
% 2.63/2.80 tff(4187,plain,
% 2.63/2.80 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s0))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(4188,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s0))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(4189,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s0)),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[4188, 4187])).
% 2.63/2.80 tff(4190,plain,
% 2.63/2.80 (p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s0)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4189, 232, 4186])).
% 2.63/2.80 tff(4191,plain,
% 2.63/2.80 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s1))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(4192,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s1))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(4193,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s1)),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[4192, 4191])).
% 2.63/2.80 tff(4194,plain,
% 2.63/2.80 (p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s1)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4193, 203, 4190])).
% 2.63/2.80 tff(4195,plain,
% 2.63/2.80 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s0))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(4196,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s0))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(4197,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s0)),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[4196, 4195])).
% 2.63/2.80 tff(4198,plain,
% 2.63/2.80 (p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s0)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4197, 217, 4194])).
% 2.63/2.80 tff(4199,plain,
% 2.63/2.80 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s1))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(4200,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s1))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(4201,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s1)),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[4200, 4199])).
% 2.63/2.80 tff(4202,plain,
% 2.63/2.80 (p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s1)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4201, 203, 4198])).
% 2.63/2.80 tff(4203,plain,
% 2.63/2.80 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s0))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(4204,plain,
% 2.63/2.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s0))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(4205,plain,
% 2.63/2.80 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s1, s1, s0, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s0)),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[4204, 4203])).
% 2.63/2.80 tff(4206,plain,
% 2.63/2.80 (p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s0)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4205, 371, 4202])).
% 2.63/2.80 tff(4207,plain,
% 2.63/2.80 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s1))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(4208,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s1))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(4209,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s1)),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[4208, 4207])).
% 2.63/2.80 tff(4210,plain,
% 2.63/2.80 (p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s1)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4209, 203, 4206])).
% 2.63/2.80 tff(4211,plain,
% 2.63/2.80 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s0))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(4212,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s0))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(4213,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s0)),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 2.63/2.80 tff(4214,plain,
% 2.63/2.80 (p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s0)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4213, 217, 4210])).
% 2.63/2.80 tff(4215,plain,
% 2.63/2.80 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s1))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(4216,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s1))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(4217,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s1)),
% 2.63/2.80 inference(modus_ponens,[status(thm)],[4216, 4215])).
% 2.63/2.80 tff(4218,plain,
% 2.63/2.80 (p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s1)),
% 2.63/2.80 inference(unit_resolution,[status(thm)],[4217, 203, 4214])).
% 2.63/2.80 tff(4219,plain,
% 2.63/2.80 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s0))),
% 2.63/2.80 inference(rewrite,[status(thm)],[])).
% 2.63/2.80 tff(4220,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s0))),
% 2.63/2.80 inference(quant_inst,[status(thm)],[])).
% 2.63/2.80 tff(4221,plain,
% 2.63/2.80 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s0)),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[4220, 4219])).
% 2.63/2.81 tff(4222,plain,
% 2.63/2.81 (p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s0)),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[4221, 232, 4218])).
% 2.63/2.81 tff(4223,plain,
% 2.63/2.81 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s1))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(4224,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s1))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(4225,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s1)),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[4224, 4223])).
% 2.63/2.81 tff(4226,plain,
% 2.63/2.81 ($false),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[4225, 203, 4222, 16])).
% 2.63/2.81 tff(4227,plain,(p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.81 tff(4228,plain,
% 2.63/2.81 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s0))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(4229,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s0))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(4230,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s0)),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 2.63/2.81 tff(4231,plain,
% 2.63/2.81 ($false),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[4230, 217, 4227, 15])).
% 2.63/2.81 tff(4232,plain,(p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.81 tff(4233,plain,
% 2.63/2.81 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s1))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(4234,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s1))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(4235,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s1)),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 2.63/2.81 tff(4236,plain,
% 2.63/2.81 (p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s1)),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[4235, 203, 4232])).
% 2.63/2.81 tff(4237,plain,
% 2.63/2.81 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s0))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(4238,plain,
% 2.63/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s0))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(4239,plain,
% 2.63/2.81 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s0, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s0)),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 2.63/2.81 tff(4240,plain,
% 2.63/2.81 ($false),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[4239, 255, 4236, 14])).
% 2.63/2.81 tff(4241,plain,(p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.81 tff(4242,plain,
% 2.63/2.81 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s1))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(4243,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s1))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(4244,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s1)),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[4243, 4242])).
% 2.63/2.81 tff(4245,plain,
% 2.63/2.81 (p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s1)),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[4244, 203, 4241])).
% 2.63/2.81 tff(4246,plain,
% 2.63/2.81 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s0))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(4247,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s0))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(4248,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s0)),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[4247, 4246])).
% 2.63/2.81 tff(4249,plain,
% 2.63/2.81 (p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s0)),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[4248, 217, 4245])).
% 2.63/2.81 tff(4250,plain,
% 2.63/2.81 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s1))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(4251,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s1))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(4252,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s1)),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[4251, 4250])).
% 2.63/2.81 tff(4253,plain,
% 2.63/2.81 (p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s1)),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[4252, 203, 4249])).
% 2.63/2.81 tff(4254,plain,
% 2.63/2.81 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s0))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(4255,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s0))),
% 2.63/2.81 inference(quant_inst,[status(thm)],[])).
% 2.63/2.81 tff(4256,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s0)),
% 2.63/2.81 inference(modus_ponens,[status(thm)],[4255, 4254])).
% 2.63/2.81 tff(4257,plain,
% 2.63/2.81 ($false),
% 2.63/2.81 inference(unit_resolution,[status(thm)],[4256, 232, 4253, 13])).
% 2.63/2.81 tff(4258,plain,(p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.81 tff(4259,plain,
% 2.63/2.81 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s1))),
% 2.63/2.81 inference(rewrite,[status(thm)],[])).
% 2.63/2.81 tff(4260,plain,
% 2.63/2.81 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s1))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4261,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s1)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4260, 4259])).
% 2.63/2.82 tff(4262,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s1)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4261, 203, 4258])).
% 2.63/2.82 tff(4263,plain,
% 2.63/2.82 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s0))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4264,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s0))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4265,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s0)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4264, 4263])).
% 2.63/2.82 tff(4266,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s0)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4265, 217, 4262])).
% 2.63/2.82 tff(4267,plain,
% 2.63/2.82 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s1))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4268,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s1))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4269,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s1)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4268, 4267])).
% 2.63/2.82 tff(4270,plain,
% 2.63/2.82 ((~p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s1)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4269, 203])).
% 2.63/2.82 tff(4271,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s1)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4270, 4266])).
% 2.63/2.82 tff(4272,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s0))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4273,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s0))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4274,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s1, s0, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s0)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4273, 4272])).
% 2.63/2.82 tff(4275,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s0)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4274, 297, 4271])).
% 2.63/2.82 tff(4276,plain,
% 2.63/2.82 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s1))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4277,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s1))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4278,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s1)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4277, 4276])).
% 2.63/2.82 tff(4279,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s1)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4278, 203, 4275])).
% 2.63/2.82 tff(4280,plain,
% 2.63/2.82 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s0))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4281,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s0))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4282,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s0)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 2.63/2.82 tff(4283,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s0)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4282, 217, 4279])).
% 2.63/2.82 tff(4284,plain,
% 2.63/2.82 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s1))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4285,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s1))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4286,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s1)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 2.63/2.82 tff(4287,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s1)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4286, 203, 4283])).
% 2.63/2.82 tff(4288,plain,
% 2.63/2.82 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s0))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4289,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s0))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4290,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s0)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 2.63/2.82 tff(4291,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s0)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4290, 232, 4287])).
% 2.63/2.82 tff(4292,plain,
% 2.63/2.82 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s1))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4293,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s1))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4294,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s1)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 2.63/2.82 tff(4295,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s1)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4294, 203, 4291])).
% 2.63/2.82 tff(4296,plain,
% 2.63/2.82 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s0))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4297,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s0))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4298,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s0)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 2.63/2.82 tff(4299,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s0)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4298, 217, 4295])).
% 2.63/2.82 tff(4300,plain,
% 2.63/2.82 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s1))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4301,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s1))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4302,plain,
% 2.63/2.82 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s1)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4301, 4300])).
% 2.63/2.82 tff(4303,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s1)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4302, 203, 4299])).
% 2.63/2.82 tff(4304,plain,
% 2.63/2.82 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s0))),
% 2.63/2.82 inference(rewrite,[status(thm)],[])).
% 2.63/2.82 tff(4305,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s0))),
% 2.63/2.82 inference(quant_inst,[status(thm)],[])).
% 2.63/2.82 tff(4306,plain,
% 2.63/2.82 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s0, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s0)),
% 2.63/2.82 inference(modus_ponens,[status(thm)],[4305, 4304])).
% 2.63/2.82 tff(4307,plain,
% 2.63/2.82 (p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s0)),
% 2.63/2.82 inference(unit_resolution,[status(thm)],[4306, 255, 4303])).
% 2.63/2.82 tff(4308,plain,
% 2.63/2.82 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s1))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(4309,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s1))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(4310,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s1)),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[4309, 4308])).
% 2.63/2.83 tff(4311,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[4310, 203, 4307, 12])).
% 2.63/2.83 tff(4312,plain,(p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(4313,plain,
% 2.63/2.83 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s0))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(4314,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s0))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(4315,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s0)),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 2.63/2.83 tff(4316,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[4315, 217, 4312, 11])).
% 2.63/2.83 tff(4317,plain,(p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(4318,plain,
% 2.63/2.83 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s1))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(4319,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s1))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(4320,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s1)),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[4319, 4318])).
% 2.63/2.83 tff(4321,plain,
% 2.63/2.83 (p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s1)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[4320, 203, 4317])).
% 2.63/2.83 tff(4322,plain,
% 2.63/2.83 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s0))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(4323,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s0))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(4324,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s0, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s0)),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[4323, 4322])).
% 2.63/2.83 tff(4325,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[4324, 232, 4321, 10])).
% 2.63/2.83 tff(4326,plain,(p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(4327,plain,
% 2.63/2.83 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s1))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(4328,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s1))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(4329,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s1)),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[4328, 4327])).
% 2.63/2.83 tff(4330,plain,
% 2.63/2.83 (p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s1)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[4329, 203, 4326])).
% 2.63/2.83 tff(4331,plain,
% 2.63/2.83 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s0))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(4332,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s0))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(4333,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s0, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s0)),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[4332, 4331])).
% 2.63/2.83 tff(4334,plain,
% 2.63/2.83 (p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s0)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[4333, 217, 4330])).
% 2.63/2.83 tff(4335,plain,
% 2.63/2.83 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s1))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(4336,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s1))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(4337,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s1)),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[4336, 4335])).
% 2.63/2.83 tff(4338,plain,
% 2.63/2.83 (p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s1)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[4337, 203, 4334])).
% 2.63/2.83 tff(4339,plain,
% 2.63/2.83 (((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s0))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(4340,plain,
% 2.63/2.83 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s0))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(4341,plain,
% 2.63/2.83 ((~![X0: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, s0, s1, s1, s1, s1, s1, s1)) | p(X0, X1, X2, s1, s0, s0, s0, s0, s0, s0))) | (~p(s1, s1, s1, s0, s1, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s0)),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[4340, 4339])).
% 2.63/2.83 tff(4342,plain,
% 2.63/2.83 ($false),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[4341, 515, 4338, 9])).
% 2.63/2.83 tff(4343,plain,(p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.83 tff(4344,plain,
% 2.63/2.83 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s1))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(4345,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s1))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(4346,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s1)),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 2.63/2.83 tff(4347,plain,
% 2.63/2.83 (p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s1)),
% 2.63/2.83 inference(unit_resolution,[status(thm)],[4346, 203, 4343])).
% 2.63/2.83 tff(4348,plain,
% 2.63/2.83 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s0))),
% 2.63/2.83 inference(rewrite,[status(thm)],[])).
% 2.63/2.83 tff(4349,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s0))),
% 2.63/2.83 inference(quant_inst,[status(thm)],[])).
% 2.63/2.83 tff(4350,plain,
% 2.63/2.83 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s0)),
% 2.63/2.83 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 2.63/2.83 tff(4351,plain,
% 2.63/2.83 (p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s0)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4350, 217, 4347])).
% 2.63/2.84 tff(4352,plain,
% 2.63/2.84 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s1))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4353,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s1))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4354,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s1)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 2.63/2.84 tff(4355,plain,
% 2.63/2.84 ((~p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s1)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4354, 203])).
% 2.63/2.84 tff(4356,plain,
% 2.63/2.84 (p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s1)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4355, 4351])).
% 2.63/2.84 tff(4357,plain,
% 2.63/2.84 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s0))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4358,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s0))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4359,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s0, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s0)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4358, 4357])).
% 2.63/2.84 tff(4360,plain,
% 2.63/2.84 (p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s0)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4359, 232, 4356])).
% 2.63/2.84 tff(4361,plain,
% 2.63/2.84 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s1))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4362,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s1))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4363,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s1)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4362, 4361])).
% 2.63/2.84 tff(4364,plain,
% 2.63/2.84 (p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s1)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4363, 203, 4360])).
% 2.63/2.84 tff(4365,plain,
% 2.63/2.84 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s0))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4366,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s0))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4367,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s0)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4366, 4365])).
% 2.63/2.84 tff(4368,plain,
% 2.63/2.84 (p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s0)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4367, 217, 4364])).
% 2.63/2.84 tff(4369,plain,
% 2.63/2.84 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s1))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4370,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s1))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4371,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s1)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4370, 4369])).
% 2.63/2.84 tff(4372,plain,
% 2.63/2.84 (p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s1)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4371, 203, 4368])).
% 2.63/2.84 tff(4373,plain,
% 2.63/2.84 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s0))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4374,plain,
% 2.63/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s0))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4375,plain,
% 2.63/2.84 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s1, s0, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s0)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4374, 4373])).
% 2.63/2.84 tff(4376,plain,
% 2.63/2.84 (p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s0)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4375, 255, 4372])).
% 2.63/2.84 tff(4377,plain,
% 2.63/2.84 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s1))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4378,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s1))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4379,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s1)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 2.63/2.84 tff(4380,plain,
% 2.63/2.84 (p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s1)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4379, 203, 4376])).
% 2.63/2.84 tff(4381,plain,
% 2.63/2.84 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s0))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4382,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s0))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4383,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s0)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4382, 4381])).
% 2.63/2.84 tff(4384,plain,
% 2.63/2.84 (p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s0)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4383, 217, 4380])).
% 2.63/2.84 tff(4385,plain,
% 2.63/2.84 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s1))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4386,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s1))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4387,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s1)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4386, 4385])).
% 2.63/2.84 tff(4388,plain,
% 2.63/2.84 (p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s1)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4387, 203, 4384])).
% 2.63/2.84 tff(4389,plain,
% 2.63/2.84 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s0))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4390,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s0))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4391,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s0, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s0)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 2.63/2.84 tff(4392,plain,
% 2.63/2.84 (p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s0)),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4391, 232, 4388])).
% 2.63/2.84 tff(4393,plain,
% 2.63/2.84 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s1))),
% 2.63/2.84 inference(rewrite,[status(thm)],[])).
% 2.63/2.84 tff(4394,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s1))),
% 2.63/2.84 inference(quant_inst,[status(thm)],[])).
% 2.63/2.84 tff(4395,plain,
% 2.63/2.84 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s1)),
% 2.63/2.84 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 2.63/2.84 tff(4396,plain,
% 2.63/2.84 ($false),
% 2.63/2.84 inference(unit_resolution,[status(thm)],[4395, 203, 4392, 8])).
% 2.63/2.84 tff(4397,plain,(p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.85 tff(4398,plain,
% 2.63/2.85 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s0))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4399,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s0))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4400,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s0)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4399, 4398])).
% 2.63/2.85 tff(4401,plain,
% 2.63/2.85 ($false),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4400, 217, 4397, 7])).
% 2.63/2.85 tff(4402,plain,(p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.85 tff(4403,plain,
% 2.63/2.85 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s1))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4404,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s1))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4405,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s1)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4404, 4403])).
% 2.63/2.85 tff(4406,plain,
% 2.63/2.85 (p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s1)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4405, 203, 4402])).
% 2.63/2.85 tff(4407,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s0))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4408,plain,
% 2.63/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s0))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4409,plain,
% 2.63/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s1, s1, s0, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s0)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4408, 4407])).
% 2.63/2.85 tff(4410,plain,
% 2.63/2.85 ($false),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4409, 297, 4406, 6])).
% 2.63/2.85 tff(4411,plain,(p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.85 tff(4412,plain,
% 2.63/2.85 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s1))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4413,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s1))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4414,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s1)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 2.63/2.85 tff(4415,plain,
% 2.63/2.85 (p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s1)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4414, 203, 4411])).
% 2.63/2.85 tff(4416,plain,
% 2.63/2.85 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s0))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4417,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s0))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4418,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s0)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 2.63/2.85 tff(4419,plain,
% 2.63/2.85 (p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s0)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4418, 217, 4415])).
% 2.63/2.85 tff(4420,plain,
% 2.63/2.85 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s1))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4421,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s1))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4422,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s1)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4421, 4420])).
% 2.63/2.85 tff(4423,plain,
% 2.63/2.85 (p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s1)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4422, 203, 4419])).
% 2.63/2.85 tff(4424,plain,
% 2.63/2.85 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s0))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4425,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s0))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4426,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s0, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s0)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4425, 4424])).
% 2.63/2.85 tff(4427,plain,
% 2.63/2.85 ($false),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4426, 232, 4423, 5])).
% 2.63/2.85 tff(4428,plain,(p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.85 tff(4429,plain,
% 2.63/2.85 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s1))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4430,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s1))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4431,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s1)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4430, 4429])).
% 2.63/2.85 tff(4432,plain,
% 2.63/2.85 (p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s1)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4431, 203, 4428])).
% 2.63/2.85 tff(4433,plain,
% 2.63/2.85 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s0))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4434,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s0))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4435,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s0)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4434, 4433])).
% 2.63/2.85 tff(4436,plain,
% 2.63/2.85 (p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s0)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4435, 217, 4432])).
% 2.63/2.85 tff(4437,plain,
% 2.63/2.85 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s1))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4438,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s1))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4439,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s1)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4438, 4437])).
% 2.63/2.85 tff(4440,plain,
% 2.63/2.85 ((~p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s1)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4439, 203])).
% 2.63/2.85 tff(4441,plain,
% 2.63/2.85 (p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s1)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4440, 4436])).
% 2.63/2.85 tff(4442,plain,
% 2.63/2.85 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s0))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4443,plain,
% 2.63/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s0))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4444,plain,
% 2.63/2.85 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s1, s0, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s0)),
% 2.63/2.85 inference(modus_ponens,[status(thm)],[4443, 4442])).
% 2.63/2.85 tff(4445,plain,
% 2.63/2.85 (p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s0)),
% 2.63/2.85 inference(unit_resolution,[status(thm)],[4444, 255, 4441])).
% 2.63/2.85 tff(4446,plain,
% 2.63/2.85 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s1))),
% 2.63/2.85 inference(rewrite,[status(thm)],[])).
% 2.63/2.85 tff(4447,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s1))),
% 2.63/2.85 inference(quant_inst,[status(thm)],[])).
% 2.63/2.85 tff(4448,plain,
% 2.63/2.85 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s1)),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[4447, 4446])).
% 2.63/2.86 tff(4449,plain,
% 2.63/2.86 (p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s1)),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[4448, 203, 4445])).
% 2.63/2.86 tff(4450,plain,
% 2.63/2.86 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s0))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(4451,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s0))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(4452,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s0)),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[4451, 4450])).
% 2.63/2.86 tff(4453,plain,
% 2.63/2.86 (p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s0)),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[4452, 217, 4449])).
% 2.63/2.86 tff(4454,plain,
% 2.63/2.86 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s1))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(4455,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s1))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(4456,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s1)),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[4455, 4454])).
% 2.63/2.86 tff(4457,plain,
% 2.63/2.86 (p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s1)),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[4456, 203, 4453])).
% 2.63/2.86 tff(4458,plain,
% 2.63/2.86 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s0))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(4459,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s0))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(4460,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s0, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s0)),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[4459, 4458])).
% 2.63/2.86 tff(4461,plain,
% 2.63/2.86 (p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s0)),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[4460, 232, 4457])).
% 2.63/2.86 tff(4462,plain,
% 2.63/2.86 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s1))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(4463,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s1))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(4464,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s1)),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[4463, 4462])).
% 2.63/2.86 tff(4465,plain,
% 2.63/2.86 (p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s1)),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[4464, 203, 4461])).
% 2.63/2.86 tff(4466,plain,
% 2.63/2.86 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s0))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(4467,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s0))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(4468,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s0, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s0)),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[4467, 4466])).
% 2.63/2.86 tff(4469,plain,
% 2.63/2.86 (p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s0)),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[4468, 217, 4465])).
% 2.63/2.86 tff(4470,plain,
% 2.63/2.86 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s1))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(4471,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s1))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(4472,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s1)),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[4471, 4470])).
% 2.63/2.86 tff(4473,plain,
% 2.63/2.86 (p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s1)),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[4472, 203, 4469])).
% 2.63/2.86 tff(4474,plain,
% 2.63/2.86 (((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s0))) <=> ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s0))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(4475,plain,
% 2.63/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s0))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(4476,plain,
% 2.63/2.86 ((~![X0: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, s0, s1, s1, s1, s1, s1)) | p(X0, X1, X2, X3, s1, s0, s0, s0, s0, s0))) | (~p(s1, s1, s1, s1, s0, s1, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s0)),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 2.63/2.86 tff(4477,plain,
% 2.63/2.86 (p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s0)),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[4476, 371, 4473])).
% 2.63/2.86 tff(4478,plain,
% 2.63/2.86 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s1))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(4479,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s1))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.86 tff(4480,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s1)),
% 2.63/2.86 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 2.63/2.86 tff(4481,plain,
% 2.63/2.86 ($false),
% 2.63/2.86 inference(unit_resolution,[status(thm)],[4480, 203, 4477, 4])).
% 2.63/2.86 tff(4482,plain,(p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.86 tff(4483,plain,
% 2.63/2.86 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s0))),
% 2.63/2.86 inference(rewrite,[status(thm)],[])).
% 2.63/2.86 tff(4484,plain,
% 2.63/2.86 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s0))),
% 2.63/2.86 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4485,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s0, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s0)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 2.63/2.87 tff(4486,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4485, 217, 4482, 3])).
% 2.63/2.87 tff(4487,plain,(p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(4488,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s1))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4489,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s1))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4490,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s1)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4489, 4488])).
% 2.63/2.87 tff(4491,plain,
% 2.63/2.87 (p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s1)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4490, 203, 4487])).
% 2.63/2.87 tff(4492,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s0))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4493,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s0))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4494,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s1, s0, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s0)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4493, 4492])).
% 2.63/2.87 tff(4495,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4494, 232, 4491, 2])).
% 2.63/2.87 tff(4496,plain,(p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(4497,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s1))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4498,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s1))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4499,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s1)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4498, 4497])).
% 2.63/2.87 tff(4500,plain,
% 2.63/2.87 (p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s1)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4499, 203, 4496])).
% 2.63/2.87 tff(4501,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s0))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4502,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s0))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4503,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s0, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s0)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4502, 4501])).
% 2.63/2.87 tff(4504,plain,
% 2.63/2.87 (p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s0)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4503, 217, 4500])).
% 2.63/2.87 tff(4505,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s1))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4506,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s1))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4507,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s1)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 2.63/2.87 tff(4508,plain,
% 2.63/2.87 (p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s1)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4507, 203, 4504])).
% 2.63/2.87 tff(4509,plain,
% 2.63/2.87 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s0))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4510,plain,
% 2.63/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s0))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4511,plain,
% 2.63/2.87 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s1, s1, s0, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s0)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4510, 4509])).
% 2.63/2.87 tff(4512,plain,
% 2.63/2.87 ($false),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4511, 255, 4508, 1])).
% 2.63/2.87 tff(4513,plain,(p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s0)), inference(lemma,lemma(discharge,[]))).
% 2.63/2.87 tff(4514,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s1))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4515,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s1))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4516,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s1)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 2.63/2.87 tff(4517,plain,
% 2.63/2.87 (p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s1)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4516, 203, 4513])).
% 2.63/2.87 tff(4518,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s0))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4519,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s0))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4520,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s0, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s0)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4519, 4518])).
% 2.63/2.87 tff(4521,plain,
% 2.63/2.87 (p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s0)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4520, 217, 4517])).
% 2.63/2.87 tff(4522,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s1))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4523,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s1))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4524,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s1)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4523, 4522])).
% 2.63/2.87 tff(4525,plain,
% 2.63/2.87 ((~p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s1)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4524, 203])).
% 2.63/2.87 tff(4526,plain,
% 2.63/2.87 (p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s1)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4525, 4521])).
% 2.63/2.87 tff(4527,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s0))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4528,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s0))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4529,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s1, s0, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s0)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4528, 4527])).
% 2.63/2.87 tff(4530,plain,
% 2.63/2.87 (p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s0)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4529, 232, 4526])).
% 2.63/2.87 tff(4531,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s1))),
% 2.63/2.87 inference(rewrite,[status(thm)],[])).
% 2.63/2.87 tff(4532,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s1))),
% 2.63/2.87 inference(quant_inst,[status(thm)],[])).
% 2.63/2.87 tff(4533,plain,
% 2.63/2.87 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s1)),
% 2.63/2.87 inference(modus_ponens,[status(thm)],[4532, 4531])).
% 2.63/2.87 tff(4534,plain,
% 2.63/2.87 (p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s1)),
% 2.63/2.87 inference(unit_resolution,[status(thm)],[4533, 203, 4530])).
% 2.63/2.87 tff(4535,plain,
% 2.63/2.87 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s0))),
% 2.72/2.88 inference(rewrite,[status(thm)],[])).
% 2.72/2.88 tff(4536,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s0))),
% 2.72/2.88 inference(quant_inst,[status(thm)],[])).
% 2.72/2.88 tff(4537,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s0, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s0)),
% 2.72/2.88 inference(modus_ponens,[status(thm)],[4536, 4535])).
% 2.72/2.88 tff(4538,plain,
% 2.72/2.88 (p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s0)),
% 2.72/2.88 inference(unit_resolution,[status(thm)],[4537, 217, 4534])).
% 2.72/2.88 tff(4539,plain,
% 2.72/2.88 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s1))),
% 2.72/2.88 inference(rewrite,[status(thm)],[])).
% 2.72/2.88 tff(4540,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s1))),
% 2.72/2.88 inference(quant_inst,[status(thm)],[])).
% 2.72/2.88 tff(4541,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s1)),
% 2.72/2.88 inference(modus_ponens,[status(thm)],[4540, 4539])).
% 2.72/2.88 tff(4542,plain,
% 2.72/2.88 (p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s1)),
% 2.72/2.88 inference(unit_resolution,[status(thm)],[4541, 203, 4538])).
% 2.72/2.88 tff(4543,plain,
% 2.72/2.88 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s0))),
% 2.72/2.88 inference(rewrite,[status(thm)],[])).
% 2.72/2.88 tff(4544,plain,
% 2.72/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s0))),
% 2.72/2.88 inference(quant_inst,[status(thm)],[])).
% 2.72/2.88 tff(4545,plain,
% 2.72/2.88 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, s0, s1, s1, s1, s1)) | p(X0, X1, X2, X3, X4, s1, s0, s0, s0, s0))) | (~p(s1, s1, s1, s1, s1, s0, s1, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s0)),
% 2.72/2.88 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 2.72/2.88 tff(4546,plain,
% 2.72/2.88 (p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s0)),
% 2.72/2.88 inference(unit_resolution,[status(thm)],[4545, 297, 4542])).
% 2.72/2.88 tff(4547,plain,
% 2.72/2.88 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s1))),
% 2.72/2.88 inference(rewrite,[status(thm)],[])).
% 2.72/2.88 tff(4548,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s1))),
% 2.72/2.88 inference(quant_inst,[status(thm)],[])).
% 2.72/2.88 tff(4549,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s1)),
% 2.72/2.88 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 2.72/2.88 tff(4550,plain,
% 2.72/2.88 (p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s1)),
% 2.72/2.88 inference(unit_resolution,[status(thm)],[4549, 203, 4546])).
% 2.72/2.88 tff(4551,plain,
% 2.72/2.88 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s0))),
% 2.72/2.88 inference(rewrite,[status(thm)],[])).
% 2.72/2.88 tff(4552,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s0))),
% 2.72/2.88 inference(quant_inst,[status(thm)],[])).
% 2.72/2.88 tff(4553,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s1, s0, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s0)),
% 2.72/2.88 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 2.72/2.88 tff(4554,plain,
% 2.72/2.88 (p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s0)),
% 2.72/2.88 inference(unit_resolution,[status(thm)],[4553, 217, 4550])).
% 2.72/2.88 tff(4555,plain,
% 2.72/2.88 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s1))),
% 2.72/2.88 inference(rewrite,[status(thm)],[])).
% 2.72/2.88 tff(4556,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s1))),
% 2.72/2.88 inference(quant_inst,[status(thm)],[])).
% 2.72/2.88 tff(4557,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s1)),
% 2.72/2.88 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 2.72/2.88 tff(4558,plain,
% 2.72/2.88 (p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s1)),
% 2.72/2.88 inference(unit_resolution,[status(thm)],[4557, 203, 4554])).
% 2.72/2.88 tff(4559,plain,
% 2.72/2.88 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s0))),
% 2.72/2.88 inference(rewrite,[status(thm)],[])).
% 2.72/2.88 tff(4560,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s0))),
% 2.72/2.88 inference(quant_inst,[status(thm)],[])).
% 2.72/2.88 tff(4561,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s1, s1, s0, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s0)),
% 2.72/2.88 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 2.72/2.88 tff(4562,plain,
% 2.72/2.88 (p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s0)),
% 2.72/2.88 inference(unit_resolution,[status(thm)],[4561, 232, 4558])).
% 2.72/2.88 tff(4563,plain,
% 2.72/2.88 ((~p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s1)) <=> (~p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s1))),
% 2.72/2.88 inference(rewrite,[status(thm)],[])).
% 2.72/2.88 tff(4564,axiom,(~p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goal')).
% 2.72/2.88 tff(4565,plain,
% 2.72/2.88 (~p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s1)),
% 2.72/2.88 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 2.72/2.88 tff(4566,plain,
% 2.72/2.88 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s1))),
% 2.72/2.88 inference(rewrite,[status(thm)],[])).
% 2.72/2.88 tff(4567,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s1))),
% 2.72/2.88 inference(quant_inst,[status(thm)],[])).
% 2.72/2.88 tff(4568,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s1)),
% 2.72/2.88 inference(modus_ponens,[status(thm)],[4567, 4566])).
% 2.72/2.88 tff(4569,plain,
% 2.72/2.88 (~p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s0)),
% 2.72/2.88 inference(unit_resolution,[status(thm)],[4568, 203, 4565])).
% 2.72/2.88 tff(4570,plain,
% 2.72/2.88 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s0))),
% 2.72/2.88 inference(rewrite,[status(thm)],[])).
% 2.72/2.88 tff(4571,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s0))),
% 2.72/2.88 inference(quant_inst,[status(thm)],[])).
% 2.72/2.88 tff(4572,plain,
% 2.72/2.88 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s1, s0)),
% 2.72/2.88 inference(modus_ponens,[status(thm)],[4571, 4570])).
% 2.72/2.88 tff(4573,plain,
% 2.72/2.88 (~p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s1)),
% 2.72/2.88 inference(unit_resolution,[status(thm)],[4572, 217, 4569])).
% 2.72/2.89 tff(4574,plain,
% 2.72/2.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s1))),
% 2.72/2.89 inference(rewrite,[status(thm)],[])).
% 2.72/2.89 tff(4575,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s1))),
% 2.72/2.89 inference(quant_inst,[status(thm)],[])).
% 2.72/2.89 tff(4576,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s1)),
% 2.72/2.89 inference(modus_ponens,[status(thm)],[4575, 4574])).
% 2.72/2.89 tff(4577,plain,
% 2.72/2.89 (~p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s0)),
% 2.72/2.89 inference(unit_resolution,[status(thm)],[4576, 203, 4573])).
% 2.72/2.89 tff(4578,plain,
% 2.72/2.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s0))),
% 2.72/2.89 inference(rewrite,[status(thm)],[])).
% 2.72/2.89 tff(4579,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s0))),
% 2.72/2.89 inference(quant_inst,[status(thm)],[])).
% 2.72/2.89 tff(4580,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, s0, s1, s1)) | p(X0, X1, X2, X3, X4, X5, X6, s1, s0, s0))) | (~p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s1, s0, s0)),
% 2.72/2.89 inference(modus_ponens,[status(thm)],[4579, 4578])).
% 2.72/2.89 tff(4581,plain,
% 2.72/2.89 (~p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s1)),
% 2.72/2.89 inference(unit_resolution,[status(thm)],[4580, 232, 4577])).
% 2.72/2.89 tff(4582,plain,
% 2.72/2.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s1))),
% 2.72/2.89 inference(rewrite,[status(thm)],[])).
% 2.72/2.89 tff(4583,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s1))),
% 2.72/2.89 inference(quant_inst,[status(thm)],[])).
% 2.72/2.89 tff(4584,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s1)),
% 2.72/2.89 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 2.72/2.89 tff(4585,plain,
% 2.72/2.89 (~p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s0)),
% 2.72/2.89 inference(unit_resolution,[status(thm)],[4584, 203, 4581])).
% 2.72/2.89 tff(4586,plain,
% 2.72/2.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s0))),
% 2.72/2.89 inference(rewrite,[status(thm)],[])).
% 2.72/2.89 tff(4587,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s0))),
% 2.72/2.89 inference(quant_inst,[status(thm)],[])).
% 2.72/2.89 tff(4588,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s1, s0)),
% 2.72/2.89 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 2.72/2.89 tff(4589,plain,
% 2.72/2.89 (~p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s1)),
% 2.72/2.89 inference(unit_resolution,[status(thm)],[4588, 217, 4585])).
% 2.72/2.89 tff(4590,plain,
% 2.72/2.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s1))),
% 2.72/2.89 inference(rewrite,[status(thm)],[])).
% 2.72/2.89 tff(4591,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s1))),
% 2.72/2.89 inference(quant_inst,[status(thm)],[])).
% 2.72/2.89 tff(4592,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s1)),
% 2.72/2.89 inference(modus_ponens,[status(thm)],[4591, 4590])).
% 2.72/2.89 tff(4593,plain,
% 2.72/2.89 (~p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s0)),
% 2.72/2.89 inference(unit_resolution,[status(thm)],[4592, 203, 4589])).
% 2.72/2.89 tff(4594,plain,
% 2.72/2.89 (((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s0))) <=> ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s0))),
% 2.72/2.89 inference(rewrite,[status(thm)],[])).
% 2.72/2.89 tff(4595,plain,
% 2.72/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s0))),
% 2.72/2.89 inference(quant_inst,[status(thm)],[])).
% 2.72/2.89 tff(4596,plain,
% 2.72/2.89 ((~![X0: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, s0, s1, s1, s1)) | p(X0, X1, X2, X3, X4, X5, s1, s0, s0, s0))) | (~p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s1)) | p(s1, s1, s1, s1, s1, s1, s1, s0, s0, s0)),
% 2.72/2.89 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 2.72/2.89 tff(4597,plain,
% 2.72/2.89 (~p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s1)),
% 2.72/2.89 inference(unit_resolution,[status(thm)],[4596, 255, 4593])).
% 2.72/2.89 tff(4598,plain,
% 2.72/2.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s1))),
% 2.72/2.89 inference(rewrite,[status(thm)],[])).
% 2.72/2.89 tff(4599,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s1))),
% 2.72/2.89 inference(quant_inst,[status(thm)],[])).
% 2.72/2.89 tff(4600,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s1)),
% 2.72/2.89 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 2.72/2.89 tff(4601,plain,
% 2.72/2.89 (~p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s0)),
% 2.72/2.89 inference(unit_resolution,[status(thm)],[4600, 203, 4597])).
% 2.72/2.89 tff(4602,plain,
% 2.72/2.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s0))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s0))),
% 2.72/2.89 inference(rewrite,[status(thm)],[])).
% 2.72/2.89 tff(4603,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s0))),
% 2.72/2.89 inference(quant_inst,[status(thm)],[])).
% 2.72/2.89 tff(4604,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, s0, s1)) | p(X0, X1, X2, X3, X4, X5, X6, X7, s1, s0))) | (~p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s1)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s1, s0)),
% 2.72/2.89 inference(modus_ponens,[status(thm)],[4603, 4602])).
% 2.72/2.89 tff(4605,plain,
% 2.72/2.89 (~p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s1)),
% 2.72/2.89 inference(unit_resolution,[status(thm)],[4604, 217, 4601])).
% 2.72/2.89 tff(4606,plain,
% 2.72/2.89 (((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s1))) <=> ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s1))),
% 2.72/2.89 inference(rewrite,[status(thm)],[])).
% 2.72/2.89 tff(4607,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | ((~p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s1))),
% 2.72/2.89 inference(quant_inst,[status(thm)],[])).
% 2.72/2.89 tff(4608,plain,
% 2.72/2.89 ((~![X0: $i, X6: $i, X4: $i, X3: $i, X2: $i, X7: $i, X5: $i, X8: $i, X1: $i] : ((~p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s0)) | p(X0, X1, X2, X3, X4, X5, X6, X7, X8, s1))) | (~p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s0)) | p(s1, s1, s1, s1, s1, s1, s0, s1, s0, s1)),
% 2.72/2.89 inference(modus_ponens,[status(thm)],[4607, 4606])).
% 2.72/2.89 tff(4609,plain,
% 2.72/2.89 ($false),
% 2.74/2.90 inference(unit_resolution,[status(thm)],[4608, 203, 4605, 4562])).
% 2.74/2.90 % SZS output end Proof
% 2.74/2.90 % E exiting
%------------------------------------------------------------------------------