TSTP Solution File: HWV002-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV002-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 : 600s
% DateTime : Sat Jul 16 19:14:28 EDT 2022
% Result : Unsatisfiable 116.83s 117.11s
% Output : Refutation 118.42s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(xor__dfg(n0,u),u),
file('HWV002-1.p',unknown),
[] ).
cnf(2,axiom,
equal(xor__dfg(u,n0),u),
file('HWV002-1.p',unknown),
[] ).
cnf(3,axiom,
equal(xor__dfg(u,u),n0),
file('HWV002-1.p',unknown),
[] ).
cnf(4,axiom,
equal(xor__dfg(u,xor__dfg(u,v)),v),
file('HWV002-1.p',unknown),
[] ).
cnf(5,axiom,
equal(and__dfg(n0,u),n0),
file('HWV002-1.p',unknown),
[] ).
cnf(6,axiom,
equal(and__dfg(u,n0),n0),
file('HWV002-1.p',unknown),
[] ).
cnf(7,axiom,
equal(and__dfg(n1,u),u),
file('HWV002-1.p',unknown),
[] ).
cnf(8,axiom,
equal(and__dfg(u,n1),u),
file('HWV002-1.p',unknown),
[] ).
cnf(9,axiom,
equal(and__dfg(u,u),u),
file('HWV002-1.p',unknown),
[] ).
cnf(10,axiom,
equal(and__dfg(u,and__dfg(u,v)),and__dfg(u,v)),
file('HWV002-1.p',unknown),
[] ).
cnf(11,axiom,
equal(and__dfg(u,xor__dfg(v,w)),xor__dfg(and__dfg(u,v),and__dfg(u,w))),
file('HWV002-1.p',unknown),
[] ).
cnf(12,axiom,
equal(xor__dfg(n1,u),not__dfg(u)),
file('HWV002-1.p',unknown),
[] ).
cnf(13,axiom,
equal(or__dfg(u,v),xor__dfg(and__dfg(u,v),xor__dfg(u,v))),
file('HWV002-1.p',unknown),
[] ).
cnf(14,axiom,
equal(xor__dfg(u,v),xor__dfg(v,u)),
file('HWV002-1.p',unknown),
[] ).
cnf(15,axiom,
equal(xor__dfg(u,xor__dfg(v,w)),xor__dfg(v,xor__dfg(u,w))),
file('HWV002-1.p',unknown),
[] ).
cnf(16,axiom,
equal(and__dfg(u,v),and__dfg(v,u)),
file('HWV002-1.p',unknown),
[] ).
cnf(17,axiom,
equal(and__dfg(u,and__dfg(v,w)),and__dfg(v,and__dfg(u,w))),
file('HWV002-1.p',unknown),
[] ).
cnf(18,axiom,
equal(n13,o1),
file('HWV002-1.p',unknown),
[] ).
cnf(19,axiom,
equal(n17,o2),
file('HWV002-1.p',unknown),
[] ).
cnf(20,axiom,
equal(n5,o3),
file('HWV002-1.p',unknown),
[] ).
cnf(21,axiom,
equal(and__dfg(inv1,i2),a1),
file('HWV002-1.p',unknown),
[] ).
cnf(22,axiom,
equal(and__dfg(inv1,i3),n2),
file('HWV002-1.p',unknown),
[] ).
cnf(23,axiom,
equal(or__dfg(a1,n24),n3),
file('HWV002-1.p',unknown),
[] ).
cnf(24,axiom,
equal(or__dfg(n15,n3),n4),
file('HWV002-1.p',unknown),
[] ).
cnf(25,axiom,
equal(or__dfg(n4,n21),n5),
file('HWV002-1.p',unknown),
[] ).
cnf(26,axiom,
equal(and__dfg(i1,i2),n6),
file('HWV002-1.p',unknown),
[] ).
cnf(27,axiom,
equal(and__dfg(n6,i3),n7),
file('HWV002-1.p',unknown),
[] ).
cnf(28,axiom,
equal(or__dfg(a1,n10),n8),
file('HWV002-1.p',unknown),
[] ).
cnf(29,axiom,
equal(or__dfg(n8,n2),n9),
file('HWV002-1.p',unknown),
[] ).
cnf(30,axiom,
equal(or__dfg(n24,n7),n10),
file('HWV002-1.p',unknown),
[] ).
cnf(31,axiom,
equal(or__dfg(a1,n2),n11),
file('HWV002-1.p',unknown),
[] ).
cnf(32,axiom,
equal(or__dfg(n11,n16),n12),
file('HWV002-1.p',unknown),
[] ).
cnf(33,axiom,
equal(or__dfg(n12,n21),n13),
file('HWV002-1.p',unknown),
[] ).
cnf(34,axiom,
equal(and__dfg(i2,i3),n14),
file('HWV002-1.p',unknown),
[] ).
cnf(35,axiom,
equal(and__dfg(inv2,n6),n15),
file('HWV002-1.p',unknown),
[] ).
cnf(36,axiom,
equal(and__dfg(n14,inv2),n16),
file('HWV002-1.p',unknown),
[] ).
cnf(37,axiom,
equal(or__dfg(n18,n21),n17),
file('HWV002-1.p',unknown),
[] ).
cnf(38,axiom,
equal(or__dfg(n19,n25),n18),
file('HWV002-1.p',unknown),
[] ).
cnf(39,axiom,
equal(and__dfg(n23,inv2),n19),
file('HWV002-1.p',unknown),
[] ).
cnf(40,axiom,
equal(or__dfg(n22,n14),n20),
file('HWV002-1.p',unknown),
[] ).
cnf(41,axiom,
equal(and__dfg(inv1,inv2),n21),
file('HWV002-1.p',unknown),
[] ).
cnf(42,axiom,
equal(or__dfg(n23,n6),n22),
file('HWV002-1.p',unknown),
[] ).
cnf(43,axiom,
equal(and__dfg(i1,i3),n23),
file('HWV002-1.p',unknown),
[] ).
cnf(44,axiom,
equal(and__dfg(i1,inv1),n24),
file('HWV002-1.p',unknown),
[] ).
cnf(45,axiom,
equal(or__dfg(n2,n24),n25),
file('HWV002-1.p',unknown),
[] ).
cnf(46,axiom,
equal(not__dfg(n20),inv1),
file('HWV002-1.p',unknown),
[] ).
cnf(47,axiom,
equal(not__dfg(n9),inv2),
file('HWV002-1.p',unknown),
[] ).
cnf(48,axiom,
circuit(o1),
file('HWV002-1.p',unknown),
[] ).
cnf(49,axiom,
circuit(o2),
file('HWV002-1.p',unknown),
[] ).
cnf(50,axiom,
circuit(o3),
file('HWV002-1.p',unknown),
[] ).
cnf(51,axiom,
( ~ circuit(not__dfg(i3))
| ~ circuit(not__dfg(i2))
| ~ circuit(not__dfg(i1)) ),
file('HWV002-1.p',unknown),
[] ).
cnf(52,plain,
equal(or__dfg(n18,n21),o2),
inference(rew,[status(thm),theory(equality)],[19,37]),
[iquote('0:Rew:19.0,37.0')] ).
cnf(53,plain,
equal(or__dfg(n12,n21),o1),
inference(rew,[status(thm),theory(equality)],[18,33]),
[iquote('0:Rew:18.0,33.0')] ).
cnf(54,plain,
equal(or__dfg(n4,n21),o3),
inference(rew,[status(thm),theory(equality)],[20,25]),
[iquote('0:Rew:20.0,25.0')] ).
cnf(55,plain,
equal(and__dfg(i3,n6),n7),
inference(rew,[status(thm),theory(equality)],[16,27]),
[iquote('0:Rew:16.0,27.0')] ).
cnf(56,plain,
equal(and__dfg(n6,inv2),n15),
inference(rew,[status(thm),theory(equality)],[16,35]),
[iquote('0:Rew:16.0,35.0')] ).
cnf(57,plain,
equal(and__dfg(inv2,n23),n19),
inference(rew,[status(thm),theory(equality)],[16,39]),
[iquote('0:Rew:16.0,39.0')] ).
cnf(58,plain,
equal(and__dfg(i2,i1),n6),
inference(rew,[status(thm),theory(equality)],[16,26]),
[iquote('0:Rew:16.0,26.0')] ).
cnf(59,plain,
equal(and__dfg(i3,i1),n23),
inference(rew,[status(thm),theory(equality)],[16,43]),
[iquote('0:Rew:16.0,43.0')] ).
cnf(60,plain,
equal(and__dfg(inv1,i1),n24),
inference(rew,[status(thm),theory(equality)],[16,44]),
[iquote('0:Rew:16.0,44.0')] ).
cnf(61,plain,
equal(or__dfg(u,v),xor__dfg(u,xor__dfg(v,and__dfg(u,v)))),
inference(rew,[status(thm),theory(equality)],[14,13,15]),
[iquote('0:Rew:14.0,13.0,15.0,13.0')] ).
cnf(62,plain,
equal(xor__dfg(n15,xor__dfg(n3,and__dfg(n15,n3))),n4),
inference(rew,[status(thm),theory(equality)],[61,24]),
[iquote('0:Rew:61.0,24.0')] ).
cnf(63,plain,
equal(xor__dfg(a1,xor__dfg(n24,and__dfg(a1,n24))),n3),
inference(rew,[status(thm),theory(equality)],[61,23]),
[iquote('0:Rew:61.0,23.0')] ).
cnf(64,plain,
equal(xor__dfg(a1,xor__dfg(n10,and__dfg(a1,n10))),n8),
inference(rew,[status(thm),theory(equality)],[61,28]),
[iquote('0:Rew:61.0,28.0')] ).
cnf(65,plain,
equal(xor__dfg(n24,xor__dfg(n7,and__dfg(n24,n7))),n10),
inference(rew,[status(thm),theory(equality)],[61,30]),
[iquote('0:Rew:61.0,30.0')] ).
cnf(66,plain,
equal(xor__dfg(n8,xor__dfg(n2,and__dfg(n8,n2))),n9),
inference(rew,[status(thm),theory(equality)],[61,29]),
[iquote('0:Rew:61.0,29.0')] ).
cnf(67,plain,
equal(xor__dfg(a1,xor__dfg(n2,and__dfg(a1,n2))),n11),
inference(rew,[status(thm),theory(equality)],[61,31]),
[iquote('0:Rew:61.0,31.0')] ).
cnf(68,plain,
equal(xor__dfg(n11,xor__dfg(n16,and__dfg(n11,n16))),n12),
inference(rew,[status(thm),theory(equality)],[61,32]),
[iquote('0:Rew:61.0,32.0')] ).
cnf(69,plain,
equal(xor__dfg(n4,xor__dfg(n21,and__dfg(n4,n21))),o3),
inference(rew,[status(thm),theory(equality)],[61,54]),
[iquote('0:Rew:61.0,54.0')] ).
cnf(70,plain,
equal(xor__dfg(n12,xor__dfg(n21,and__dfg(n12,n21))),o1),
inference(rew,[status(thm),theory(equality)],[61,53]),
[iquote('0:Rew:61.0,53.0')] ).
cnf(71,plain,
equal(xor__dfg(n18,xor__dfg(n21,and__dfg(n18,n21))),o2),
inference(rew,[status(thm),theory(equality)],[61,52]),
[iquote('0:Rew:61.0,52.0')] ).
cnf(72,plain,
equal(xor__dfg(n19,xor__dfg(n25,and__dfg(n19,n25))),n18),
inference(rew,[status(thm),theory(equality)],[61,38]),
[iquote('0:Rew:61.0,38.0')] ).
cnf(73,plain,
equal(xor__dfg(n22,xor__dfg(n14,and__dfg(n22,n14))),n20),
inference(rew,[status(thm),theory(equality)],[61,40]),
[iquote('0:Rew:61.0,40.0')] ).
cnf(74,plain,
equal(xor__dfg(n23,xor__dfg(n6,and__dfg(n23,n6))),n22),
inference(rew,[status(thm),theory(equality)],[61,42]),
[iquote('0:Rew:61.0,42.0')] ).
cnf(75,plain,
equal(xor__dfg(n2,xor__dfg(n24,and__dfg(n2,n24))),n25),
inference(rew,[status(thm),theory(equality)],[61,45]),
[iquote('0:Rew:61.0,45.0')] ).
cnf(76,plain,
equal(xor__dfg(n3,xor__dfg(n15,and__dfg(n3,n15))),n4),
inference(rew,[status(thm),theory(equality)],[15,62,16]),
[iquote('0:Rew:15.0,62.0,16.0,62.0')] ).
cnf(77,plain,
equal(xor__dfg(n2,xor__dfg(n8,and__dfg(n2,n8))),n9),
inference(rew,[status(thm),theory(equality)],[15,66,16]),
[iquote('0:Rew:15.0,66.0,16.0,66.0')] ).
cnf(78,plain,
equal(xor__dfg(n21,xor__dfg(n12,and__dfg(n21,n12))),o1),
inference(rew,[status(thm),theory(equality)],[15,70,16]),
[iquote('0:Rew:15.0,70.0,16.0,70.0')] ).
cnf(79,plain,
equal(xor__dfg(n21,xor__dfg(n18,and__dfg(n21,n18))),o2),
inference(rew,[status(thm),theory(equality)],[15,71,16]),
[iquote('0:Rew:15.0,71.0,16.0,71.0')] ).
cnf(80,plain,
equal(xor__dfg(n14,xor__dfg(n22,and__dfg(n14,n22))),n20),
inference(rew,[status(thm),theory(equality)],[15,73,16]),
[iquote('0:Rew:15.0,73.0,16.0,73.0')] ).
cnf(81,plain,
equal(xor__dfg(n6,xor__dfg(n23,and__dfg(n6,n23))),n22),
inference(rew,[status(thm),theory(equality)],[15,74,16]),
[iquote('0:Rew:15.0,74.0,16.0,74.0')] ).
cnf(118,plain,
equal(not__dfg(n0),n1),
inference(spr,[status(thm),theory(equality)],[12,2]),
[iquote('0:SpR:12.0,2.0')] ).
cnf(122,plain,
equal(not__dfg(xor__dfg(n1,u)),u),
inference(spr,[status(thm),theory(equality)],[4,12]),
[iquote('0:SpR:4.0,12.0')] ).
cnf(129,plain,
equal(not__dfg(not__dfg(u)),u),
inference(rew,[status(thm),theory(equality)],[12,122]),
[iquote('0:Rew:12.0,122.0')] ).
cnf(135,plain,
equal(not__dfg(inv1),n20),
inference(spr,[status(thm),theory(equality)],[46,129]),
[iquote('0:SpR:46.0,129.0')] ).
cnf(157,plain,
equal(xor__dfg(u,n1),not__dfg(u)),
inference(spr,[status(thm),theory(equality)],[14,12]),
[iquote('0:SpR:14.0,12.0')] ).
cnf(161,plain,
equal(xor__dfg(u,xor__dfg(v,u)),v),
inference(spr,[status(thm),theory(equality)],[14,4]),
[iquote('0:SpR:14.0,4.0')] ).
cnf(174,plain,
equal(xor__dfg(u,not__dfg(u)),n1),
inference(spr,[status(thm),theory(equality)],[157,4]),
[iquote('0:SpR:157.0,4.0')] ).
cnf(181,plain,
equal(xor__dfg(n9,inv2),n1),
inference(spr,[status(thm),theory(equality)],[47,174]),
[iquote('0:SpR:47.0,174.0')] ).
cnf(182,plain,
equal(xor__dfg(n20,inv1),n1),
inference(spr,[status(thm),theory(equality)],[46,174]),
[iquote('0:SpR:46.0,174.0')] ).
cnf(188,plain,
equal(xor__dfg(inv1,n20),n1),
inference(rew,[status(thm),theory(equality)],[14,182]),
[iquote('0:Rew:14.0,182.0')] ).
cnf(194,plain,
equal(xor__dfg(n15,and__dfg(n3,n15)),xor__dfg(n3,n4)),
inference(spr,[status(thm),theory(equality)],[76,4]),
[iquote('0:SpR:76.0,4.0')] ).
cnf(225,plain,
equal(xor__dfg(n24,and__dfg(a1,n24)),xor__dfg(a1,n3)),
inference(spr,[status(thm),theory(equality)],[63,4]),
[iquote('0:SpR:63.0,4.0')] ).
cnf(231,plain,
equal(xor__dfg(n10,and__dfg(a1,n10)),xor__dfg(a1,n8)),
inference(spr,[status(thm),theory(equality)],[64,4]),
[iquote('0:SpR:64.0,4.0')] ).
cnf(237,plain,
equal(xor__dfg(n7,and__dfg(n24,n7)),xor__dfg(n24,n10)),
inference(spr,[status(thm),theory(equality)],[65,4]),
[iquote('0:SpR:65.0,4.0')] ).
cnf(243,plain,
equal(xor__dfg(n8,and__dfg(n2,n8)),xor__dfg(n2,n9)),
inference(spr,[status(thm),theory(equality)],[77,4]),
[iquote('0:SpR:77.0,4.0')] ).
cnf(249,plain,
equal(xor__dfg(n2,and__dfg(a1,n2)),xor__dfg(a1,n11)),
inference(spr,[status(thm),theory(equality)],[67,4]),
[iquote('0:SpR:67.0,4.0')] ).
cnf(255,plain,
equal(xor__dfg(n16,and__dfg(n11,n16)),xor__dfg(n11,n12)),
inference(spr,[status(thm),theory(equality)],[68,4]),
[iquote('0:SpR:68.0,4.0')] ).
cnf(261,plain,
equal(xor__dfg(n21,and__dfg(n4,n21)),xor__dfg(n4,o3)),
inference(spr,[status(thm),theory(equality)],[69,4]),
[iquote('0:SpR:69.0,4.0')] ).
cnf(264,plain,
equal(xor__dfg(n21,and__dfg(n4,n21)),xor__dfg(o3,n4)),
inference(rew,[status(thm),theory(equality)],[14,261]),
[iquote('0:Rew:14.0,261.0')] ).
cnf(268,plain,
equal(xor__dfg(n12,and__dfg(n21,n12)),xor__dfg(n21,o1)),
inference(spr,[status(thm),theory(equality)],[78,4]),
[iquote('0:SpR:78.0,4.0')] ).
cnf(271,plain,
equal(xor__dfg(n12,and__dfg(n21,n12)),xor__dfg(o1,n21)),
inference(rew,[status(thm),theory(equality)],[14,268]),
[iquote('0:Rew:14.0,268.0')] ).
cnf(275,plain,
equal(xor__dfg(n18,and__dfg(n21,n18)),xor__dfg(n21,o2)),
inference(spr,[status(thm),theory(equality)],[79,4]),
[iquote('0:SpR:79.0,4.0')] ).
cnf(278,plain,
equal(xor__dfg(n18,and__dfg(n21,n18)),xor__dfg(o2,n21)),
inference(rew,[status(thm),theory(equality)],[14,275]),
[iquote('0:Rew:14.0,275.0')] ).
cnf(282,plain,
equal(xor__dfg(n25,and__dfg(n19,n25)),xor__dfg(n19,n18)),
inference(spr,[status(thm),theory(equality)],[72,4]),
[iquote('0:SpR:72.0,4.0')] ).
cnf(285,plain,
equal(xor__dfg(n25,and__dfg(n19,n25)),xor__dfg(n18,n19)),
inference(rew,[status(thm),theory(equality)],[14,282]),
[iquote('0:Rew:14.0,282.0')] ).
cnf(289,plain,
equal(xor__dfg(n22,and__dfg(n14,n22)),xor__dfg(n14,n20)),
inference(spr,[status(thm),theory(equality)],[80,4]),
[iquote('0:SpR:80.0,4.0')] ).
cnf(295,plain,
equal(xor__dfg(n23,and__dfg(n6,n23)),xor__dfg(n6,n22)),
inference(spr,[status(thm),theory(equality)],[81,4]),
[iquote('0:SpR:81.0,4.0')] ).
cnf(301,plain,
equal(xor__dfg(n24,and__dfg(n2,n24)),xor__dfg(n2,n25)),
inference(spr,[status(thm),theory(equality)],[75,4]),
[iquote('0:SpR:75.0,4.0')] ).
cnf(307,plain,
equal(and__dfg(n3,n15),xor__dfg(n15,xor__dfg(n3,n4))),
inference(spr,[status(thm),theory(equality)],[194,4]),
[iquote('0:SpR:194.0,4.0')] ).
cnf(310,plain,
equal(and__dfg(n3,n15),xor__dfg(n3,xor__dfg(n15,n4))),
inference(rew,[status(thm),theory(equality)],[15,307]),
[iquote('0:Rew:15.0,307.0')] ).
cnf(311,plain,
equal(and__dfg(n3,n15),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[14,310]),
[iquote('0:Rew:14.0,310.0')] ).
cnf(321,plain,
equal(and__dfg(a1,n24),xor__dfg(n24,xor__dfg(a1,n3))),
inference(spr,[status(thm),theory(equality)],[225,4]),
[iquote('0:SpR:225.0,4.0')] ).
cnf(324,plain,
equal(and__dfg(a1,n24),xor__dfg(a1,xor__dfg(n24,n3))),
inference(rew,[status(thm),theory(equality)],[15,321]),
[iquote('0:Rew:15.0,321.0')] ).
cnf(325,plain,
equal(and__dfg(a1,n24),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[14,324]),
[iquote('0:Rew:14.0,324.0')] ).
cnf(335,plain,
equal(and__dfg(a1,n10),xor__dfg(n10,xor__dfg(a1,n8))),
inference(spr,[status(thm),theory(equality)],[231,4]),
[iquote('0:SpR:231.0,4.0')] ).
cnf(338,plain,
equal(and__dfg(a1,n10),xor__dfg(a1,xor__dfg(n10,n8))),
inference(rew,[status(thm),theory(equality)],[15,335]),
[iquote('0:Rew:15.0,335.0')] ).
cnf(339,plain,
equal(and__dfg(a1,n10),xor__dfg(a1,xor__dfg(n8,n10))),
inference(rew,[status(thm),theory(equality)],[14,338]),
[iquote('0:Rew:14.0,338.0')] ).
cnf(359,plain,
equal(and__dfg(inv1,n21),n21),
inference(spr,[status(thm),theory(equality)],[41,10]),
[iquote('0:SpR:41.0,10.0')] ).
cnf(360,plain,
equal(and__dfg(n14,n16),n16),
inference(spr,[status(thm),theory(equality)],[36,10]),
[iquote('0:SpR:36.0,10.0')] ).
cnf(361,plain,
equal(and__dfg(n6,n15),n15),
inference(spr,[status(thm),theory(equality)],[56,10]),
[iquote('0:SpR:56.0,10.0')] ).
cnf(362,plain,
equal(and__dfg(i2,n14),n14),
inference(spr,[status(thm),theory(equality)],[34,10]),
[iquote('0:SpR:34.0,10.0')] ).
cnf(363,plain,
equal(and__dfg(inv1,n2),n2),
inference(spr,[status(thm),theory(equality)],[22,10]),
[iquote('0:SpR:22.0,10.0')] ).
cnf(364,plain,
equal(and__dfg(inv1,a1),a1),
inference(spr,[status(thm),theory(equality)],[21,10]),
[iquote('0:SpR:21.0,10.0')] ).
cnf(365,plain,
equal(and__dfg(i3,n7),n7),
inference(spr,[status(thm),theory(equality)],[55,10]),
[iquote('0:SpR:55.0,10.0')] ).
cnf(367,plain,
equal(and__dfg(i2,n6),n6),
inference(spr,[status(thm),theory(equality)],[58,10]),
[iquote('0:SpR:58.0,10.0')] ).
cnf(368,plain,
equal(and__dfg(i3,n23),n23),
inference(spr,[status(thm),theory(equality)],[59,10]),
[iquote('0:SpR:59.0,10.0')] ).
cnf(369,plain,
equal(and__dfg(inv1,n24),n24),
inference(spr,[status(thm),theory(equality)],[60,10]),
[iquote('0:SpR:60.0,10.0')] ).
cnf(372,plain,
equal(and__dfg(u,and__dfg(v,u)),and__dfg(v,u)),
inference(spr,[status(thm),theory(equality)],[16,10]),
[iquote('0:SpR:16.0,10.0')] ).
cnf(377,plain,
equal(and__dfg(n16,n14),n16),
inference(rew,[status(thm),theory(equality)],[16,360]),
[iquote('0:Rew:16.0,360.0')] ).
cnf(378,plain,
equal(and__dfg(n15,n6),n15),
inference(rew,[status(thm),theory(equality)],[16,361]),
[iquote('0:Rew:16.0,361.0')] ).
cnf(379,plain,
equal(and__dfg(a1,inv1),a1),
inference(rew,[status(thm),theory(equality)],[16,364]),
[iquote('0:Rew:16.0,364.0')] ).
cnf(399,plain,
equal(and__dfg(and__dfg(u,v),w),and__dfg(u,and__dfg(w,v))),
inference(spr,[status(thm),theory(equality)],[17,16]),
[iquote('0:SpR:17.0,16.0')] ).
cnf(402,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(u,w))),and__dfg(v,and__dfg(u,w))),
inference(spr,[status(thm),theory(equality)],[17,10]),
[iquote('0:SpR:17.0,10.0')] ).
cnf(405,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(w,x))),and__dfg(v,and__dfg(w,and__dfg(u,x)))),
inference(spr,[status(thm),theory(equality)],[17]),
[iquote('0:SpR:17.0,17.0')] ).
cnf(419,plain,
equal(and__dfg(inv1,and__dfg(u,inv2)),and__dfg(u,n21)),
inference(spr,[status(thm),theory(equality)],[41,17]),
[iquote('0:SpR:41.0,17.0')] ).
cnf(420,plain,
equal(and__dfg(n14,and__dfg(u,inv2)),and__dfg(u,n16)),
inference(spr,[status(thm),theory(equality)],[36,17]),
[iquote('0:SpR:36.0,17.0')] ).
cnf(421,plain,
equal(and__dfg(n6,and__dfg(u,inv2)),and__dfg(u,n15)),
inference(spr,[status(thm),theory(equality)],[56,17]),
[iquote('0:SpR:56.0,17.0')] ).
cnf(422,plain,
equal(and__dfg(u,n14),and__dfg(i2,and__dfg(u,i3))),
inference(spr,[status(thm),theory(equality)],[34,17]),
[iquote('0:SpR:34.0,17.0')] ).
cnf(423,plain,
equal(and__dfg(inv1,and__dfg(u,i3)),and__dfg(u,n2)),
inference(spr,[status(thm),theory(equality)],[22,17]),
[iquote('0:SpR:22.0,17.0')] ).
cnf(424,plain,
equal(and__dfg(inv1,and__dfg(u,i2)),and__dfg(u,a1)),
inference(spr,[status(thm),theory(equality)],[21,17]),
[iquote('0:SpR:21.0,17.0')] ).
cnf(425,plain,
equal(and__dfg(inv1,and__dfg(u,n21)),and__dfg(u,n21)),
inference(spr,[status(thm),theory(equality)],[359,17]),
[iquote('0:SpR:359.0,17.0')] ).
cnf(426,plain,
equal(and__dfg(inv1,and__dfg(u,n2)),and__dfg(u,n2)),
inference(spr,[status(thm),theory(equality)],[363,17]),
[iquote('0:SpR:363.0,17.0')] ).
cnf(427,plain,
equal(and__dfg(u,n7),and__dfg(i3,and__dfg(u,n6))),
inference(spr,[status(thm),theory(equality)],[55,17]),
[iquote('0:SpR:55.0,17.0')] ).
cnf(428,plain,
equal(and__dfg(n15,and__dfg(u,n6)),and__dfg(u,n15)),
inference(spr,[status(thm),theory(equality)],[378,17]),
[iquote('0:SpR:378.0,17.0')] ).
cnf(429,plain,
equal(and__dfg(inv2,and__dfg(u,n23)),and__dfg(u,n19)),
inference(spr,[status(thm),theory(equality)],[57,17]),
[iquote('0:SpR:57.0,17.0')] ).
cnf(431,plain,
equal(and__dfg(i2,and__dfg(u,i1)),and__dfg(u,n6)),
inference(spr,[status(thm),theory(equality)],[58,17]),
[iquote('0:SpR:58.0,17.0')] ).
cnf(432,plain,
equal(and__dfg(u,n23),and__dfg(i3,and__dfg(u,i1))),
inference(spr,[status(thm),theory(equality)],[59,17]),
[iquote('0:SpR:59.0,17.0')] ).
cnf(433,plain,
equal(and__dfg(inv1,and__dfg(u,i1)),and__dfg(u,n24)),
inference(spr,[status(thm),theory(equality)],[60,17]),
[iquote('0:SpR:60.0,17.0')] ).
cnf(436,plain,
equal(and__dfg(u,and__dfg(v,w)),and__dfg(w,and__dfg(u,v))),
inference(spr,[status(thm),theory(equality)],[16,17]),
[iquote('0:SpR:16.0,17.0')] ).
cnf(443,plain,
equal(and__dfg(i2,and__dfg(u,n14)),and__dfg(u,n14)),
inference(spr,[status(thm),theory(equality)],[362,17]),
[iquote('0:SpR:362.0,17.0')] ).
cnf(444,plain,
equal(and__dfg(a1,and__dfg(u,inv1)),and__dfg(u,a1)),
inference(spr,[status(thm),theory(equality)],[379,17]),
[iquote('0:SpR:379.0,17.0')] ).
cnf(445,plain,
equal(and__dfg(i3,and__dfg(u,n7)),and__dfg(u,n7)),
inference(spr,[status(thm),theory(equality)],[365,17]),
[iquote('0:SpR:365.0,17.0')] ).
cnf(477,plain,
equal(and__dfg(i2,and__dfg(n16,i3)),n16),
inference(rew,[status(thm),theory(equality)],[422,377]),
[iquote('0:Rew:422.0,377.0')] ).
cnf(478,plain,
equal(and__dfg(i2,and__dfg(i3,n16)),n16),
inference(rew,[status(thm),theory(equality)],[16,477]),
[iquote('0:Rew:16.0,477.0')] ).
cnf(479,plain,
equal(xor__dfg(n7,and__dfg(i3,and__dfg(n24,n6))),xor__dfg(n24,n10)),
inference(rew,[status(thm),theory(equality)],[427,237]),
[iquote('0:Rew:427.0,237.0')] ).
cnf(481,plain,
equal(and__dfg(i3,and__dfg(inv2,i1)),n19),
inference(rew,[status(thm),theory(equality)],[432,57]),
[iquote('0:Rew:432.0,57.0')] ).
cnf(483,plain,
equal(xor__dfg(n23,and__dfg(i3,and__dfg(n6,i1))),xor__dfg(n6,n22)),
inference(rew,[status(thm),theory(equality)],[432,295]),
[iquote('0:Rew:432.0,295.0')] ).
cnf(484,plain,
equal(and__dfg(i3,and__dfg(i1,inv2)),n19),
inference(rew,[status(thm),theory(equality)],[16,481]),
[iquote('0:Rew:16.0,481.0')] ).
cnf(497,plain,
equal(and__dfg(i2,and__dfg(u,n6)),and__dfg(u,n6)),
inference(spr,[status(thm),theory(equality)],[367,17]),
[iquote('0:SpR:367.0,17.0')] ).
cnf(500,plain,
equal(and__dfg(i3,and__dfg(u,n23)),and__dfg(u,n23)),
inference(spr,[status(thm),theory(equality)],[368,17]),
[iquote('0:SpR:368.0,17.0')] ).
cnf(505,plain,
equal(and__dfg(inv1,and__dfg(u,n24)),and__dfg(u,n24)),
inference(spr,[status(thm),theory(equality)],[369,17]),
[iquote('0:SpR:369.0,17.0')] ).
cnf(507,plain,
equal(and__dfg(i2,n16),n16),
inference(spr,[status(thm),theory(equality)],[478,10]),
[iquote('0:SpR:478.0,10.0')] ).
cnf(511,plain,
equal(and__dfg(i3,n19),n19),
inference(spr,[status(thm),theory(equality)],[484,10]),
[iquote('0:SpR:484.0,10.0')] ).
cnf(516,plain,
equal(and__dfg(i2,and__dfg(u,n16)),and__dfg(u,n16)),
inference(spr,[status(thm),theory(equality)],[507,17]),
[iquote('0:SpR:507.0,17.0')] ).
cnf(519,plain,
equal(and__dfg(i3,n16),n16),
inference(rew,[status(thm),theory(equality)],[516,478]),
[iquote('0:Rew:516.0,478.0')] ).
cnf(526,plain,
equal(and__dfg(i3,and__dfg(u,n16)),and__dfg(u,n16)),
inference(spr,[status(thm),theory(equality)],[519,17]),
[iquote('0:SpR:519.0,17.0')] ).
cnf(537,plain,
equal(xor__dfg(u,xor__dfg(n1,v)),not__dfg(xor__dfg(u,v))),
inference(spr,[status(thm),theory(equality)],[15,12]),
[iquote('0:SpR:15.0,12.0')] ).
cnf(538,plain,
equal(xor__dfg(xor__dfg(u,v),w),xor__dfg(u,xor__dfg(w,v))),
inference(spr,[status(thm),theory(equality)],[15,14]),
[iquote('0:SpR:15.0,14.0')] ).
cnf(541,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(u,w))),xor__dfg(v,w)),
inference(spr,[status(thm),theory(equality)],[15,4]),
[iquote('0:SpR:15.0,4.0')] ).
cnf(546,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,x))),xor__dfg(v,xor__dfg(w,xor__dfg(u,x)))),
inference(spr,[status(thm),theory(equality)],[15]),
[iquote('0:SpR:15.0,15.0')] ).
cnf(564,plain,
equal(xor__dfg(u,xor__dfg(v,w)),xor__dfg(w,xor__dfg(u,v))),
inference(spr,[status(thm),theory(equality)],[14,15]),
[iquote('0:SpR:14.0,15.0')] ).
cnf(569,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,u))),xor__dfg(v,w)),
inference(spr,[status(thm),theory(equality)],[161,15]),
[iquote('0:SpR:161.0,15.0')] ).
cnf(572,plain,
equal(xor__dfg(n9,xor__dfg(u,inv2)),xor__dfg(u,n1)),
inference(spr,[status(thm),theory(equality)],[181,15]),
[iquote('0:SpR:181.0,15.0')] ).
cnf(573,plain,
equal(xor__dfg(inv1,xor__dfg(u,n20)),xor__dfg(u,n1)),
inference(spr,[status(thm),theory(equality)],[188,15]),
[iquote('0:SpR:188.0,15.0')] ).
cnf(594,plain,
equal(xor__dfg(n9,xor__dfg(u,inv2)),not__dfg(u)),
inference(rew,[status(thm),theory(equality)],[157,572]),
[iquote('0:Rew:157.0,572.0')] ).
cnf(595,plain,
equal(xor__dfg(inv1,xor__dfg(u,n20)),not__dfg(u)),
inference(rew,[status(thm),theory(equality)],[157,573]),
[iquote('0:Rew:157.0,573.0')] ).
cnf(600,plain,
equal(xor__dfg(u,not__dfg(v)),not__dfg(xor__dfg(u,v))),
inference(rew,[status(thm),theory(equality)],[12,537]),
[iquote('0:Rew:12.0,537.0')] ).
cnf(620,plain,
equal(xor__dfg(n9,not__dfg(u)),xor__dfg(u,inv2)),
inference(spr,[status(thm),theory(equality)],[594,4]),
[iquote('0:SpR:594.0,4.0')] ).
cnf(639,plain,
equal(not__dfg(xor__dfg(n9,u)),xor__dfg(u,inv2)),
inference(rew,[status(thm),theory(equality)],[600,620]),
[iquote('0:Rew:600.0,620.0')] ).
cnf(649,plain,
equal(xor__dfg(inv1,not__dfg(u)),xor__dfg(u,n20)),
inference(spr,[status(thm),theory(equality)],[595,4]),
[iquote('0:SpR:595.0,4.0')] ).
cnf(668,plain,
equal(not__dfg(xor__dfg(inv1,u)),xor__dfg(u,n20)),
inference(rew,[status(thm),theory(equality)],[600,649]),
[iquote('0:Rew:600.0,649.0')] ).
cnf(670,plain,
equal(xor__dfg(n22,and__dfg(n14,n22)),not__dfg(xor__dfg(inv1,n14))),
inference(rew,[status(thm),theory(equality)],[668,289]),
[iquote('0:Rew:668.0,289.0')] ).
cnf(680,plain,
equal(xor__dfg(inv2,u),not__dfg(xor__dfg(n9,u))),
inference(spr,[status(thm),theory(equality)],[639,14]),
[iquote('0:SpR:639.0,14.0')] ).
cnf(726,plain,
equal(xor__dfg(u,n20),not__dfg(xor__dfg(u,inv1))),
inference(spr,[status(thm),theory(equality)],[14,668]),
[iquote('0:SpR:14.0,668.0')] ).
cnf(885,plain,
equal(and__dfg(xor__dfg(u,v),w),xor__dfg(and__dfg(w,u),and__dfg(w,v))),
inference(spr,[status(thm),theory(equality)],[11,16]),
[iquote('0:SpR:11.0,16.0')] ).
cnf(886,plain,
equal(xor__dfg(and__dfg(xor__dfg(u,v),u),and__dfg(xor__dfg(u,v),v)),xor__dfg(u,v)),
inference(spr,[status(thm),theory(equality)],[11,9]),
[iquote('0:SpR:11.0,9.0')] ).
cnf(893,plain,
equal(and__dfg(u,not__dfg(v)),xor__dfg(and__dfg(u,n1),and__dfg(u,v))),
inference(spr,[status(thm),theory(equality)],[12,11]),
[iquote('0:SpR:12.0,11.0')] ).
cnf(912,plain,
equal(and__dfg(u,not__dfg(v)),xor__dfg(u,and__dfg(u,v))),
inference(rew,[status(thm),theory(equality)],[8,893]),
[iquote('0:Rew:8.0,893.0')] ).
cnf(926,plain,
equal(xor__dfg(u,xor__dfg(xor__dfg(v,and__dfg(v,u)),and__dfg(u,v))),xor__dfg(v,u)),
inference(rew,[status(thm),theory(equality)],[15,886,9,11,16,14]),
[iquote('0:Rew:15.0,886.0,9.0,886.0,11.0,886.0,16.0,886.0,14.0,886.0,9.0,886.0,11.0,886.0,16.0,886.0')] ).
cnf(933,plain,
equal(and__dfg(n2,n8),xor__dfg(n8,xor__dfg(n2,n9))),
inference(spr,[status(thm),theory(equality)],[243,4]),
[iquote('0:SpR:243.0,4.0')] ).
cnf(940,plain,
equal(and__dfg(n2,n8),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[15,933]),
[iquote('0:Rew:15.0,933.0')] ).
cnf(962,plain,
equal(and__dfg(a1,n2),xor__dfg(n2,xor__dfg(a1,n11))),
inference(spr,[status(thm),theory(equality)],[249,4]),
[iquote('0:SpR:249.0,4.0')] ).
cnf(969,plain,
equal(and__dfg(a1,n2),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[15,962]),
[iquote('0:Rew:15.0,962.0')] ).
cnf(980,plain,
equal(and__dfg(n11,n16),xor__dfg(n16,xor__dfg(n11,n12))),
inference(spr,[status(thm),theory(equality)],[255,4]),
[iquote('0:SpR:255.0,4.0')] ).
cnf(986,plain,
equal(and__dfg(n11,n16),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[14,980,15]),
[iquote('0:Rew:14.0,980.0,15.0,980.0')] ).
cnf(996,plain,
equal(and__dfg(n4,n21),xor__dfg(n21,xor__dfg(o3,n4))),
inference(spr,[status(thm),theory(equality)],[264,4]),
[iquote('0:SpR:264.0,4.0')] ).
cnf(1002,plain,
equal(and__dfg(n4,n21),xor__dfg(o3,xor__dfg(n4,n21))),
inference(rew,[status(thm),theory(equality)],[14,996,15]),
[iquote('0:Rew:14.0,996.0,15.0,996.0')] ).
cnf(1012,plain,
equal(and__dfg(n21,n12),xor__dfg(n12,xor__dfg(o1,n21))),
inference(spr,[status(thm),theory(equality)],[271,4]),
[iquote('0:SpR:271.0,4.0')] ).
cnf(1018,plain,
equal(and__dfg(n21,n12),xor__dfg(o1,xor__dfg(n21,n12))),
inference(rew,[status(thm),theory(equality)],[14,1012,15]),
[iquote('0:Rew:14.0,1012.0,15.0,1012.0')] ).
cnf(1028,plain,
equal(and__dfg(n21,n18),xor__dfg(n18,xor__dfg(o2,n21))),
inference(spr,[status(thm),theory(equality)],[278,4]),
[iquote('0:SpR:278.0,4.0')] ).
cnf(1034,plain,
equal(and__dfg(n21,n18),xor__dfg(o2,xor__dfg(n21,n18))),
inference(rew,[status(thm),theory(equality)],[14,1028,15]),
[iquote('0:Rew:14.0,1028.0,15.0,1028.0')] ).
cnf(1044,plain,
equal(and__dfg(n19,n25),xor__dfg(n25,xor__dfg(n18,n19))),
inference(spr,[status(thm),theory(equality)],[285,4]),
[iquote('0:SpR:285.0,4.0')] ).
cnf(1050,plain,
equal(and__dfg(n19,n25),xor__dfg(n18,xor__dfg(n19,n25))),
inference(rew,[status(thm),theory(equality)],[14,1044,15]),
[iquote('0:Rew:14.0,1044.0,15.0,1044.0')] ).
cnf(1073,plain,
equal(and__dfg(n2,n24),xor__dfg(n24,xor__dfg(n2,n25))),
inference(spr,[status(thm),theory(equality)],[301,4]),
[iquote('0:SpR:301.0,4.0')] ).
cnf(1080,plain,
equal(and__dfg(n2,n24),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[15,1073]),
[iquote('0:Rew:15.0,1073.0')] ).
cnf(1090,plain,
equal(and__dfg(n3,xor__dfg(n3,xor__dfg(n4,n15))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(spr,[status(thm),theory(equality)],[311,10]),
[iquote('0:SpR:311.0,10.0')] ).
cnf(1094,plain,
equal(xor__dfg(n4,xor__dfg(n15,and__dfg(n3,n4))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[4,1090,9,14,15,311,11]),
[iquote('0:Rew:4.0,1090.0,9.0,1090.0,14.0,1090.0,15.0,1090.0,15.0,1090.0,311.0,1090.0,11.0,1090.0,11.0,1090.0')] ).
cnf(1111,plain,
equal(and__dfg(n2,xor__dfg(n2,xor__dfg(n8,n9))),xor__dfg(n2,xor__dfg(n8,n9))),
inference(spr,[status(thm),theory(equality)],[940,10]),
[iquote('0:SpR:940.0,10.0')] ).
cnf(1115,plain,
equal(xor__dfg(n2,xor__dfg(xor__dfg(n2,xor__dfg(n8,n9)),and__dfg(n2,n9))),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[9,1111,940,11]),
[iquote('0:Rew:9.0,1111.0,940.0,1111.0,11.0,1111.0,11.0,1111.0')] ).
cnf(1126,plain,
equal(and__dfg(n14,n21),and__dfg(inv1,n16)),
inference(spr,[status(thm),theory(equality)],[36,419]),
[iquote('0:SpR:36.0,419.0')] ).
cnf(1127,plain,
equal(and__dfg(n6,n21),and__dfg(inv1,n15)),
inference(spr,[status(thm),theory(equality)],[56,419]),
[iquote('0:SpR:56.0,419.0')] ).
cnf(1130,plain,
equal(and__dfg(inv1,and__dfg(inv2,u)),and__dfg(u,n21)),
inference(spr,[status(thm),theory(equality)],[16,419]),
[iquote('0:SpR:16.0,419.0')] ).
cnf(1131,plain,
equal(and__dfg(inv2,n21),and__dfg(inv1,inv2)),
inference(spr,[status(thm),theory(equality)],[9,419]),
[iquote('0:SpR:9.0,419.0')] ).
cnf(1134,plain,
equal(and__dfg(n21,n14),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[16,1126]),
[iquote('0:Rew:16.0,1126.0')] ).
cnf(1135,plain,
equal(and__dfg(i3,and__dfg(i2,n21)),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[436,1134,422]),
[iquote('0:Rew:436.0,1134.0,422.0,1134.0')] ).
cnf(1136,plain,
equal(and__dfg(i2,and__dfg(i3,n21)),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[17,1135]),
[iquote('0:Rew:17.0,1135.0')] ).
cnf(1137,plain,
equal(and__dfg(n21,n6),and__dfg(inv1,n15)),
inference(rew,[status(thm),theory(equality)],[16,1127]),
[iquote('0:Rew:16.0,1127.0')] ).
cnf(1140,plain,
equal(and__dfg(n21,inv2),n21),
inference(rew,[status(thm),theory(equality)],[16,1131,41]),
[iquote('0:Rew:16.0,1131.0,41.0,1131.0')] ).
cnf(1150,plain,
equal(and__dfg(n21,and__dfg(inv1,n15)),and__dfg(inv1,n15)),
inference(spr,[status(thm),theory(equality)],[1137,10]),
[iquote('0:SpR:1137.0,10.0')] ).
cnf(1153,plain,
equal(and__dfg(inv1,and__dfg(n15,n21)),and__dfg(inv1,n15)),
inference(rew,[status(thm),theory(equality)],[16,1150,17]),
[iquote('0:Rew:16.0,1150.0,17.0,1150.0')] ).
cnf(1154,plain,
equal(and__dfg(n15,n21),and__dfg(inv1,n15)),
inference(rew,[status(thm),theory(equality)],[425,1153]),
[iquote('0:Rew:425.0,1153.0')] ).
cnf(1160,plain,
equal(and__dfg(a1,and__dfg(u,n2)),and__dfg(u,xor__dfg(a1,xor__dfg(n2,n11)))),
inference(spr,[status(thm),theory(equality)],[969,17]),
[iquote('0:SpR:969.0,17.0')] ).
cnf(1164,plain,
equal(and__dfg(a1,and__dfg(u,n2)),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n2),and__dfg(u,n11)))),
inference(rew,[status(thm),theory(equality)],[11,1160]),
[iquote('0:Rew:11.0,1160.0,11.0,1160.0')] ).
cnf(1169,plain,
equal(and__dfg(n14,and__dfg(u,and__dfg(v,inv2))),and__dfg(u,and__dfg(v,n16))),
inference(spr,[status(thm),theory(equality)],[420,17]),
[iquote('0:SpR:420.0,17.0')] ).
cnf(1175,plain,
equal(and__dfg(n14,n15),and__dfg(n6,n16)),
inference(spr,[status(thm),theory(equality)],[56,420]),
[iquote('0:SpR:56.0,420.0')] ).
cnf(1180,plain,
equal(and__dfg(inv2,n16),and__dfg(n14,inv2)),
inference(spr,[status(thm),theory(equality)],[9,420]),
[iquote('0:SpR:9.0,420.0')] ).
cnf(1187,plain,
equal(and__dfg(n6,n16),and__dfg(n15,n14)),
inference(rew,[status(thm),theory(equality)],[16,1175]),
[iquote('0:Rew:16.0,1175.0')] ).
cnf(1188,plain,
equal(and__dfg(n6,n16),and__dfg(i3,and__dfg(i2,n15))),
inference(rew,[status(thm),theory(equality)],[436,1187,422]),
[iquote('0:Rew:436.0,1187.0,422.0,1187.0')] ).
cnf(1189,plain,
equal(and__dfg(n6,n16),and__dfg(i2,and__dfg(i3,n15))),
inference(rew,[status(thm),theory(equality)],[17,1188]),
[iquote('0:Rew:17.0,1188.0')] ).
cnf(1196,plain,
equal(and__dfg(n16,inv2),n16),
inference(rew,[status(thm),theory(equality)],[16,1180,36]),
[iquote('0:Rew:16.0,1180.0,36.0,1180.0')] ).
cnf(1239,plain,
equal(and__dfg(n16,n15),and__dfg(n6,n16)),
inference(spr,[status(thm),theory(equality)],[1196,421]),
[iquote('0:SpR:1196.0,421.0')] ).
cnf(1242,plain,
equal(and__dfg(n6,and__dfg(inv2,u)),and__dfg(u,n15)),
inference(spr,[status(thm),theory(equality)],[16,421]),
[iquote('0:SpR:16.0,421.0')] ).
cnf(1243,plain,
equal(and__dfg(inv2,n15),and__dfg(n6,inv2)),
inference(spr,[status(thm),theory(equality)],[9,421]),
[iquote('0:SpR:9.0,421.0')] ).
cnf(1250,plain,
equal(and__dfg(n6,n16),and__dfg(n15,n16)),
inference(rew,[status(thm),theory(equality)],[16,1239]),
[iquote('0:Rew:16.0,1239.0')] ).
cnf(1251,plain,
equal(and__dfg(n15,n16),and__dfg(i2,and__dfg(i3,n15))),
inference(rew,[status(thm),theory(equality)],[1189,1250]),
[iquote('0:Rew:1189.0,1250.0')] ).
cnf(1254,plain,
equal(and__dfg(n15,inv2),n15),
inference(rew,[status(thm),theory(equality)],[16,1243,56]),
[iquote('0:Rew:16.0,1243.0,56.0,1243.0')] ).
cnf(1293,plain,
equal(and__dfg(u,and__dfg(v,n14)),and__dfg(v,and__dfg(i2,and__dfg(u,i3)))),
inference(spr,[status(thm),theory(equality)],[422,17]),
[iquote('0:SpR:422.0,17.0')] ).
cnf(1299,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,i3))),and__dfg(u,and__dfg(v,n14))),
inference(spr,[status(thm),theory(equality)],[422,17]),
[iquote('0:SpR:422.0,17.0')] ).
cnf(1304,plain,
equal(and__dfg(i2,n2),and__dfg(inv1,n14)),
inference(spr,[status(thm),theory(equality)],[22,422]),
[iquote('0:SpR:22.0,422.0')] ).
cnf(1307,plain,
equal(and__dfg(u,n14),and__dfg(i2,and__dfg(i3,u))),
inference(spr,[status(thm),theory(equality)],[16,422]),
[iquote('0:SpR:16.0,422.0')] ).
cnf(1348,plain,
equal(and__dfg(inv1,and__dfg(i3,u)),and__dfg(u,n2)),
inference(spr,[status(thm),theory(equality)],[16,423]),
[iquote('0:SpR:16.0,423.0')] ).
cnf(1349,plain,
equal(and__dfg(i3,n2),and__dfg(inv1,i3)),
inference(spr,[status(thm),theory(equality)],[9,423]),
[iquote('0:SpR:9.0,423.0')] ).
cnf(1354,plain,
equal(and__dfg(n2,i3),n2),
inference(rew,[status(thm),theory(equality)],[16,1349,22]),
[iquote('0:Rew:16.0,1349.0,22.0,1349.0')] ).
cnf(1358,plain,
equal(and__dfg(n2,and__dfg(u,i3)),and__dfg(u,n2)),
inference(spr,[status(thm),theory(equality)],[1354,17]),
[iquote('0:SpR:1354.0,17.0')] ).
cnf(1369,plain,
equal(and__dfg(inv1,and__dfg(u,a1)),and__dfg(u,a1)),
inference(spr,[status(thm),theory(equality)],[424,10]),
[iquote('0:SpR:424.0,10.0')] ).
cnf(1378,plain,
equal(and__dfg(inv1,and__dfg(i2,u)),and__dfg(u,a1)),
inference(spr,[status(thm),theory(equality)],[16,424]),
[iquote('0:SpR:16.0,424.0')] ).
cnf(1379,plain,
equal(and__dfg(i2,a1),and__dfg(inv1,i2)),
inference(spr,[status(thm),theory(equality)],[9,424]),
[iquote('0:SpR:9.0,424.0')] ).
cnf(1384,plain,
equal(and__dfg(a1,i2),a1),
inference(rew,[status(thm),theory(equality)],[16,1379,21]),
[iquote('0:Rew:16.0,1379.0,21.0,1379.0')] ).
cnf(1385,plain,
equal(and__dfg(a1,and__dfg(inv1,u)),and__dfg(u,a1)),
inference(rew,[status(thm),theory(equality)],[436,1369]),
[iquote('0:Rew:436.0,1369.0')] ).
cnf(1404,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(v,n6))),and__dfg(u,and__dfg(v,n7))),
inference(spr,[status(thm),theory(equality)],[427,17]),
[iquote('0:SpR:427.0,17.0')] ).
cnf(1409,plain,
equal(and__dfg(i3,n6),and__dfg(i2,n7)),
inference(spr,[status(thm),theory(equality)],[367,427]),
[iquote('0:SpR:367.0,427.0')] ).
cnf(1412,plain,
equal(and__dfg(u,n7),and__dfg(i3,and__dfg(n6,u))),
inference(spr,[status(thm),theory(equality)],[16,427]),
[iquote('0:SpR:16.0,427.0')] ).
cnf(1416,plain,
equal(and__dfg(i2,n7),n7),
inference(rew,[status(thm),theory(equality)],[55,1409]),
[iquote('0:Rew:55.0,1409.0')] ).
cnf(1422,plain,
equal(and__dfg(i2,and__dfg(u,n7)),and__dfg(u,n7)),
inference(spr,[status(thm),theory(equality)],[1416,17]),
[iquote('0:SpR:1416.0,17.0')] ).
cnf(1435,plain,
equal(and__dfg(inv1,and__dfg(n21,u)),and__dfg(n21,u)),
inference(spr,[status(thm),theory(equality)],[16,425]),
[iquote('0:SpR:16.0,425.0')] ).
cnf(1453,plain,
equal(and__dfg(inv1,and__dfg(n2,u)),and__dfg(n2,u)),
inference(spr,[status(thm),theory(equality)],[16,426]),
[iquote('0:SpR:16.0,426.0')] ).
cnf(1457,plain,
equal(and__dfg(inv1,xor__dfg(a1,xor__dfg(n2,n11))),xor__dfg(a1,xor__dfg(n2,n11))),
inference(spr,[status(thm),theory(equality)],[969,426]),
[iquote('0:SpR:969.0,426.0')] ).
cnf(1460,plain,
equal(xor__dfg(a1,xor__dfg(n2,and__dfg(inv1,n11))),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[379,1457,16,363,11]),
[iquote('0:Rew:379.0,1457.0,16.0,1457.0,363.0,1457.0,11.0,1457.0,11.0,1457.0')] ).
cnf(1470,plain,
equal(and__dfg(n15,n6),and__dfg(i2,n15)),
inference(spr,[status(thm),theory(equality)],[367,428]),
[iquote('0:SpR:367.0,428.0')] ).
cnf(1479,plain,
equal(and__dfg(i2,n15),n15),
inference(rew,[status(thm),theory(equality)],[378,1470]),
[iquote('0:Rew:378.0,1470.0')] ).
cnf(1494,plain,
equal(and__dfg(n23,n19),and__dfg(inv2,n23)),
inference(spr,[status(thm),theory(equality)],[9,429]),
[iquote('0:SpR:9.0,429.0')] ).
cnf(1504,plain,
equal(and__dfg(n19,n23),and__dfg(inv2,n23)),
inference(rew,[status(thm),theory(equality)],[16,1494]),
[iquote('0:Rew:16.0,1494.0')] ).
cnf(1505,plain,
equal(and__dfg(i1,and__dfg(i3,n19)),and__dfg(i1,and__dfg(i3,inv2))),
inference(rew,[status(thm),theory(equality)],[436,1504,432]),
[iquote('0:Rew:436.0,1504.0,432.0,1504.0,436.0,1504.0,432.0,1504.0')] ).
cnf(1506,plain,
equal(and__dfg(i1,n19),n19),
inference(rew,[status(thm),theory(equality)],[511,1505,484,17]),
[iquote('0:Rew:511.0,1505.0,484.0,1505.0,17.0,1505.0')] ).
cnf(1515,plain,
equal(and__dfg(i2,and__dfg(u,n15)),and__dfg(u,n15)),
inference(spr,[status(thm),theory(equality)],[1479,17]),
[iquote('0:SpR:1479.0,17.0')] ).
cnf(1518,plain,
equal(and__dfg(n6,n16),and__dfg(i3,n15)),
inference(rew,[status(thm),theory(equality)],[1515,1189]),
[iquote('0:Rew:1515.0,1189.0')] ).
cnf(1519,plain,
equal(and__dfg(n15,n16),and__dfg(i3,n15)),
inference(rew,[status(thm),theory(equality)],[1515,1251]),
[iquote('0:Rew:1515.0,1251.0')] ).
cnf(1524,plain,
equal(and__dfg(i1,and__dfg(u,n19)),and__dfg(u,n19)),
inference(spr,[status(thm),theory(equality)],[1506,17]),
[iquote('0:SpR:1506.0,17.0')] ).
cnf(1543,plain,
equal(and__dfg(i3,n6),and__dfg(i2,n23)),
inference(spr,[status(thm),theory(equality)],[59,431]),
[iquote('0:SpR:59.0,431.0')] ).
cnf(1544,plain,
equal(and__dfg(i2,n24),and__dfg(inv1,n6)),
inference(spr,[status(thm),theory(equality)],[60,431]),
[iquote('0:SpR:60.0,431.0')] ).
cnf(1547,plain,
equal(and__dfg(i2,and__dfg(i1,u)),and__dfg(u,n6)),
inference(spr,[status(thm),theory(equality)],[16,431]),
[iquote('0:SpR:16.0,431.0')] ).
cnf(1548,plain,
equal(and__dfg(i1,n6),and__dfg(i2,i1)),
inference(spr,[status(thm),theory(equality)],[9,431]),
[iquote('0:SpR:9.0,431.0')] ).
cnf(1551,plain,
equal(and__dfg(i2,n23),n7),
inference(rew,[status(thm),theory(equality)],[55,1543]),
[iquote('0:Rew:55.0,1543.0')] ).
cnf(1554,plain,
equal(and__dfg(n6,i1),n6),
inference(rew,[status(thm),theory(equality)],[16,1548,58]),
[iquote('0:Rew:16.0,1548.0,58.0,1548.0')] ).
cnf(1556,plain,
equal(xor__dfg(n23,and__dfg(i3,n6)),xor__dfg(n6,n22)),
inference(rew,[status(thm),theory(equality)],[1554,483]),
[iquote('0:Rew:1554.0,483.0')] ).
cnf(1560,plain,
equal(xor__dfg(n7,n23),xor__dfg(n6,n22)),
inference(rew,[status(thm),theory(equality)],[14,1556,55]),
[iquote('0:Rew:14.0,1556.0,55.0,1556.0')] ).
cnf(1562,plain,
equal(and__dfg(i2,and__dfg(u,n23)),and__dfg(u,n7)),
inference(spr,[status(thm),theory(equality)],[1551,17]),
[iquote('0:SpR:1551.0,17.0')] ).
cnf(1563,plain,
equal(and__dfg(inv2,n7),and__dfg(i2,n19)),
inference(spr,[status(thm),theory(equality)],[1551,429]),
[iquote('0:SpR:1551.0,429.0')] ).
cnf(1566,plain,
equal(and__dfg(i3,n15),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[56,1563,16,427]),
[iquote('0:Rew:56.0,1563.0,16.0,1563.0,427.0,1563.0')] ).
cnf(1567,plain,
equal(and__dfg(n6,n16),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[1566,1518]),
[iquote('0:Rew:1566.0,1518.0')] ).
cnf(1568,plain,
equal(and__dfg(n15,n16),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[1566,1519]),
[iquote('0:Rew:1566.0,1519.0')] ).
cnf(1573,plain,
equal(and__dfg(n6,and__dfg(u,i1)),and__dfg(u,n6)),
inference(spr,[status(thm),theory(equality)],[1554,17]),
[iquote('0:SpR:1554.0,17.0')] ).
cnf(1578,plain,
equal(and__dfg(i2,and__dfg(u,n24)),and__dfg(u,and__dfg(inv1,n6))),
inference(spr,[status(thm),theory(equality)],[1544,17]),
[iquote('0:SpR:1544.0,17.0')] ).
cnf(1595,plain,
equal(xor__dfg(n7,xor__dfg(n6,n22)),n23),
inference(spr,[status(thm),theory(equality)],[1560,4]),
[iquote('0:SpR:1560.0,4.0')] ).
cnf(1596,plain,
equal(xor__dfg(n7,xor__dfg(u,n23)),xor__dfg(u,xor__dfg(n6,n22))),
inference(spr,[status(thm),theory(equality)],[1560,15]),
[iquote('0:SpR:1560.0,15.0')] ).
cnf(1602,plain,
equal(xor__dfg(n6,xor__dfg(n7,n22)),n23),
inference(rew,[status(thm),theory(equality)],[15,1595]),
[iquote('0:Rew:15.0,1595.0')] ).
cnf(1605,plain,
equal(and__dfg(i3,and__dfg(u,n15)),and__dfg(u,and__dfg(i2,n19))),
inference(spr,[status(thm),theory(equality)],[1566,17]),
[iquote('0:SpR:1566.0,17.0')] ).
cnf(1608,plain,
equal(and__dfg(n6,and__dfg(i2,n19)),and__dfg(i2,n19)),
inference(spr,[status(thm),theory(equality)],[1567,10]),
[iquote('0:SpR:1567.0,10.0')] ).
cnf(1612,plain,
equal(and__dfg(i2,and__dfg(n6,n19)),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[17,1608]),
[iquote('0:Rew:17.0,1608.0')] ).
cnf(1613,plain,
equal(and__dfg(n15,and__dfg(i2,n19)),and__dfg(i2,n19)),
inference(spr,[status(thm),theory(equality)],[1568,10]),
[iquote('0:SpR:1568.0,10.0')] ).
cnf(1617,plain,
equal(and__dfg(i2,and__dfg(n15,n19)),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[17,1613]),
[iquote('0:Rew:17.0,1613.0')] ).
cnf(1632,plain,
equal(and__dfg(u,and__dfg(v,n23)),and__dfg(v,and__dfg(i3,and__dfg(u,i1)))),
inference(spr,[status(thm),theory(equality)],[432,17]),
[iquote('0:SpR:432.0,17.0')] ).
cnf(1633,plain,
equal(and__dfg(inv2,and__dfg(i3,and__dfg(u,i1))),and__dfg(u,n19)),
inference(spr,[status(thm),theory(equality)],[432,429]),
[iquote('0:SpR:432.0,429.0')] ).
cnf(1645,plain,
equal(and__dfg(i3,n24),and__dfg(inv1,n23)),
inference(spr,[status(thm),theory(equality)],[60,432]),
[iquote('0:SpR:60.0,432.0')] ).
cnf(1648,plain,
equal(and__dfg(u,n23),and__dfg(i3,and__dfg(i1,u))),
inference(spr,[status(thm),theory(equality)],[16,432]),
[iquote('0:SpR:16.0,432.0')] ).
cnf(1657,plain,
equal(and__dfg(i3,and__dfg(inv2,and__dfg(u,i1))),and__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[17,1633]),
[iquote('0:Rew:17.0,1633.0')] ).
cnf(1658,plain,
equal(and__dfg(i3,and__dfg(i1,and__dfg(inv2,u))),and__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[436,1657]),
[iquote('0:Rew:436.0,1657.0')] ).
cnf(1665,plain,
equal(xor__dfg(n7,n22),xor__dfg(n6,n23)),
inference(spr,[status(thm),theory(equality)],[1602,4]),
[iquote('0:SpR:1602.0,4.0')] ).
cnf(1676,plain,
equal(and__dfg(i3,and__dfg(u,n24)),and__dfg(u,and__dfg(inv1,n23))),
inference(spr,[status(thm),theory(equality)],[1645,17]),
[iquote('0:SpR:1645.0,17.0')] ).
cnf(1703,plain,
equal(and__dfg(n6,n24),and__dfg(inv1,n6)),
inference(spr,[status(thm),theory(equality)],[1554,433]),
[iquote('0:SpR:1554.0,433.0')] ).
cnf(1706,plain,
equal(and__dfg(inv1,and__dfg(i1,u)),and__dfg(u,n24)),
inference(spr,[status(thm),theory(equality)],[16,433]),
[iquote('0:SpR:16.0,433.0')] ).
cnf(1707,plain,
equal(and__dfg(i1,n24),and__dfg(inv1,i1)),
inference(spr,[status(thm),theory(equality)],[9,433]),
[iquote('0:SpR:9.0,433.0')] ).
cnf(1710,plain,
equal(and__dfg(n24,n6),and__dfg(inv1,n6)),
inference(rew,[status(thm),theory(equality)],[16,1703]),
[iquote('0:Rew:16.0,1703.0')] ).
cnf(1711,plain,
equal(xor__dfg(n7,and__dfg(i3,and__dfg(inv1,n6))),xor__dfg(n24,n10)),
inference(rew,[status(thm),theory(equality)],[1710,479]),
[iquote('0:Rew:1710.0,479.0')] ).
cnf(1715,plain,
equal(and__dfg(n24,i1),n24),
inference(rew,[status(thm),theory(equality)],[16,1707,60]),
[iquote('0:Rew:16.0,1707.0,60.0,1707.0')] ).
cnf(1718,plain,
equal(xor__dfg(n7,and__dfg(inv1,n7)),xor__dfg(n24,n10)),
inference(rew,[status(thm),theory(equality)],[55,1711,17]),
[iquote('0:Rew:55.0,1711.0,17.0,1711.0')] ).
cnf(1731,plain,
equal(and__dfg(n15,and__dfg(inv1,n6)),and__dfg(n24,n15)),
inference(spr,[status(thm),theory(equality)],[1710,428]),
[iquote('0:SpR:1710.0,428.0')] ).
cnf(1734,plain,
equal(and__dfg(n24,n15),and__dfg(inv1,n15)),
inference(rew,[status(thm),theory(equality)],[428,1731]),
[iquote('0:Rew:428.0,1731.0')] ).
cnf(1745,plain,
equal(and__dfg(inv1,n7),xor__dfg(n7,xor__dfg(n24,n10))),
inference(spr,[status(thm),theory(equality)],[1718,4]),
[iquote('0:SpR:1718.0,4.0')] ).
cnf(1752,plain,
equal(and__dfg(inv1,n7),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[15,1745]),
[iquote('0:Rew:15.0,1745.0')] ).
cnf(1802,plain,
equal(and__dfg(i2,and__dfg(n14,u)),and__dfg(n14,u)),
inference(spr,[status(thm),theory(equality)],[16,443]),
[iquote('0:SpR:16.0,443.0')] ).
cnf(1873,plain,
equal(and__dfg(i3,and__dfg(n7,u)),and__dfg(n7,u)),
inference(spr,[status(thm),theory(equality)],[16,445]),
[iquote('0:SpR:16.0,445.0')] ).
cnf(1885,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n6))),and__dfg(u,and__dfg(v,n6))),
inference(spr,[status(thm),theory(equality)],[497,17]),
[iquote('0:SpR:497.0,17.0')] ).
cnf(1896,plain,
equal(and__dfg(i2,and__dfg(n6,u)),and__dfg(n6,u)),
inference(spr,[status(thm),theory(equality)],[16,497]),
[iquote('0:SpR:16.0,497.0')] ).
cnf(1901,plain,
equal(and__dfg(n6,n19),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[1896,1612]),
[iquote('0:Rew:1896.0,1612.0')] ).
cnf(1918,plain,
equal(and__dfg(i3,and__dfg(n23,u)),and__dfg(n23,u)),
inference(spr,[status(thm),theory(equality)],[16,500]),
[iquote('0:SpR:16.0,500.0')] ).
cnf(2127,plain,
equal(and__dfg(inv1,and__dfg(n24,u)),and__dfg(n24,u)),
inference(spr,[status(thm),theory(equality)],[16,505]),
[iquote('0:SpR:16.0,505.0')] ).
cnf(2170,plain,
equal(and__dfg(n14,n22),xor__dfg(n22,not__dfg(xor__dfg(inv1,n14)))),
inference(spr,[status(thm),theory(equality)],[670,4]),
[iquote('0:SpR:670.0,4.0')] ).
cnf(2176,plain,
equal(and__dfg(n14,n22),not__dfg(xor__dfg(inv1,xor__dfg(n14,n22)))),
inference(rew,[status(thm),theory(equality)],[14,2170,15,600]),
[iquote('0:Rew:14.0,2170.0,15.0,2170.0,600.0,2170.0')] ).
cnf(2235,plain,
equal(and__dfg(inv2,n2),and__dfg(i3,n21)),
inference(spr,[status(thm),theory(equality)],[1130,423]),
[iquote('0:SpR:1130.0,423.0')] ).
cnf(2236,plain,
equal(and__dfg(inv2,a1),and__dfg(i2,n21)),
inference(spr,[status(thm),theory(equality)],[1130,424]),
[iquote('0:SpR:1130.0,424.0')] ).
cnf(2238,plain,
equal(and__dfg(inv2,n2),and__dfg(n2,n21)),
inference(spr,[status(thm),theory(equality)],[1130,426]),
[iquote('0:SpR:1130.0,426.0')] ).
cnf(2245,plain,
equal(and__dfg(inv2,n24),and__dfg(i1,n21)),
inference(spr,[status(thm),theory(equality)],[1130,433]),
[iquote('0:SpR:1130.0,433.0')] ).
cnf(2246,plain,
equal(and__dfg(inv2,n24),and__dfg(n24,n21)),
inference(spr,[status(thm),theory(equality)],[1130,505]),
[iquote('0:SpR:1130.0,505.0')] ).
cnf(2247,plain,
equal(and__dfg(inv1,and__dfg(inv2,u)),and__dfg(n21,u)),
inference(spr,[status(thm),theory(equality)],[1130,16]),
[iquote('0:SpR:1130.0,16.0')] ).
cnf(2262,plain,
equal(and__dfg(i3,n21),and__dfg(n2,inv2)),
inference(rew,[status(thm),theory(equality)],[16,2235]),
[iquote('0:Rew:16.0,2235.0')] ).
cnf(2263,plain,
equal(and__dfg(i2,and__dfg(n2,inv2)),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[2262,1136]),
[iquote('0:Rew:2262.0,1136.0')] ).
cnf(2265,plain,
equal(and__dfg(i2,n21),and__dfg(a1,inv2)),
inference(rew,[status(thm),theory(equality)],[16,2236]),
[iquote('0:Rew:16.0,2236.0')] ).
cnf(2267,plain,
equal(and__dfg(n2,inv2),and__dfg(n2,n21)),
inference(rew,[status(thm),theory(equality)],[16,2238]),
[iquote('0:Rew:16.0,2238.0')] ).
cnf(2268,plain,
equal(and__dfg(i3,n21),and__dfg(n2,n21)),
inference(rew,[status(thm),theory(equality)],[2267,2262]),
[iquote('0:Rew:2267.0,2262.0')] ).
cnf(2270,plain,
equal(and__dfg(n21,i1),and__dfg(n24,inv2)),
inference(rew,[status(thm),theory(equality)],[16,2245]),
[iquote('0:Rew:16.0,2245.0,16.0,2245.0')] ).
cnf(2271,plain,
equal(and__dfg(n24,inv2),and__dfg(n24,n21)),
inference(rew,[status(thm),theory(equality)],[16,2246]),
[iquote('0:Rew:16.0,2246.0')] ).
cnf(2272,plain,
equal(and__dfg(n21,i1),and__dfg(n24,n21)),
inference(rew,[status(thm),theory(equality)],[2271,2270]),
[iquote('0:Rew:2271.0,2270.0')] ).
cnf(2277,plain,
equal(and__dfg(i2,and__dfg(n2,n21)),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[2267,2263]),
[iquote('0:Rew:2267.0,2263.0')] ).
cnf(2288,plain,
equal(and__dfg(n21,and__dfg(a1,inv2)),and__dfg(a1,inv2)),
inference(spr,[status(thm),theory(equality)],[2265,372]),
[iquote('0:SpR:2265.0,372.0')] ).
cnf(2290,plain,
equal(and__dfg(i2,and__dfg(u,n21)),and__dfg(u,and__dfg(a1,inv2))),
inference(spr,[status(thm),theory(equality)],[2265,17]),
[iquote('0:SpR:2265.0,17.0')] ).
cnf(2294,plain,
equal(and__dfg(a1,inv2),and__dfg(a1,n21)),
inference(rew,[status(thm),theory(equality)],[1140,2288,17]),
[iquote('0:Rew:1140.0,2288.0,17.0,2288.0')] ).
cnf(2295,plain,
equal(and__dfg(i2,n21),and__dfg(a1,n21)),
inference(rew,[status(thm),theory(equality)],[2294,2265]),
[iquote('0:Rew:2294.0,2265.0')] ).
cnf(2299,plain,
equal(and__dfg(i2,and__dfg(u,n21)),and__dfg(u,and__dfg(a1,n21))),
inference(rew,[status(thm),theory(equality)],[2294,2290]),
[iquote('0:Rew:2294.0,2290.0')] ).
cnf(2303,plain,
equal(and__dfg(not__dfg(u),v),xor__dfg(v,and__dfg(v,u))),
inference(spr,[status(thm),theory(equality)],[912,16]),
[iquote('0:SpR:912.0,16.0')] ).
cnf(2311,plain,
equal(and__dfg(u,inv2),xor__dfg(u,and__dfg(u,n9))),
inference(spr,[status(thm),theory(equality)],[47,912]),
[iquote('0:SpR:47.0,912.0')] ).
cnf(2317,plain,
equal(and__dfg(u,n20),xor__dfg(u,and__dfg(u,inv1))),
inference(spr,[status(thm),theory(equality)],[135,912]),
[iquote('0:SpR:135.0,912.0')] ).
cnf(2321,plain,
equal(and__dfg(n14,xor__dfg(u,and__dfg(u,n9))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[2311,420]),
[iquote('0:Rew:2311.0,420.0')] ).
cnf(2322,plain,
equal(and__dfg(n6,xor__dfg(u,and__dfg(u,n9))),and__dfg(u,n15)),
inference(rew,[status(thm),theory(equality)],[2311,421]),
[iquote('0:Rew:2311.0,421.0')] ).
cnf(2323,plain,
equal(xor__dfg(n15,and__dfg(n15,n9)),n15),
inference(rew,[status(thm),theory(equality)],[2311,1254]),
[iquote('0:Rew:2311.0,1254.0')] ).
cnf(2324,plain,
equal(xor__dfg(n16,and__dfg(n16,n9)),n16),
inference(rew,[status(thm),theory(equality)],[2311,1196]),
[iquote('0:Rew:2311.0,1196.0')] ).
cnf(2325,plain,
equal(xor__dfg(n21,and__dfg(n21,n9)),n21),
inference(rew,[status(thm),theory(equality)],[2311,1140]),
[iquote('0:Rew:2311.0,1140.0')] ).
cnf(2326,plain,
equal(and__dfg(i3,xor__dfg(i1,and__dfg(i1,n9))),n19),
inference(rew,[status(thm),theory(equality)],[2311,484]),
[iquote('0:Rew:2311.0,484.0')] ).
cnf(2327,plain,
equal(xor__dfg(n6,and__dfg(n6,n9)),n15),
inference(rew,[status(thm),theory(equality)],[2311,56]),
[iquote('0:Rew:2311.0,56.0')] ).
cnf(2328,plain,
equal(xor__dfg(n14,and__dfg(n14,n9)),n16),
inference(rew,[status(thm),theory(equality)],[2311,36]),
[iquote('0:Rew:2311.0,36.0')] ).
cnf(2329,plain,
equal(xor__dfg(inv1,and__dfg(inv1,n9)),n21),
inference(rew,[status(thm),theory(equality)],[2311,41]),
[iquote('0:Rew:2311.0,41.0')] ).
cnf(2331,plain,
equal(xor__dfg(a1,and__dfg(a1,n9)),and__dfg(a1,n21)),
inference(rew,[status(thm),theory(equality)],[2311,2294]),
[iquote('0:Rew:2311.0,2294.0')] ).
cnf(2332,plain,
equal(xor__dfg(n24,and__dfg(n24,n9)),and__dfg(n24,n21)),
inference(rew,[status(thm),theory(equality)],[2311,2271]),
[iquote('0:Rew:2311.0,2271.0')] ).
cnf(2334,plain,
equal(xor__dfg(n2,and__dfg(n2,n9)),and__dfg(n2,n21)),
inference(rew,[status(thm),theory(equality)],[2311,2267]),
[iquote('0:Rew:2311.0,2267.0')] ).
cnf(2336,plain,
equal(and__dfg(n14,and__dfg(u,xor__dfg(v,and__dfg(v,n9)))),and__dfg(u,and__dfg(v,n16))),
inference(rew,[status(thm),theory(equality)],[2311,1169]),
[iquote('0:Rew:2311.0,1169.0')] ).
cnf(2343,plain,
equal(xor__dfg(n16,and__dfg(n9,n16)),n16),
inference(rew,[status(thm),theory(equality)],[16,2324]),
[iquote('0:Rew:16.0,2324.0')] ).
cnf(2344,plain,
equal(xor__dfg(n14,and__dfg(i2,and__dfg(i3,n9))),n16),
inference(rew,[status(thm),theory(equality)],[16,2328,422]),
[iquote('0:Rew:16.0,2328.0,422.0,2328.0,16.0,2328.0')] ).
cnf(2351,plain,
equal(xor__dfg(n23,and__dfg(i3,and__dfg(i1,n9))),n19),
inference(rew,[status(thm),theory(equality)],[59,2326,11]),
[iquote('0:Rew:59.0,2326.0,11.0,2326.0')] ).
cnf(2355,plain,
equal(xor__dfg(and__dfg(n14,u),and__dfg(n14,and__dfg(u,n9))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[11,2321]),
[iquote('0:Rew:11.0,2321.0')] ).
cnf(2356,plain,
equal(xor__dfg(and__dfg(n14,u),and__dfg(n9,and__dfg(n14,u))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[436,2355]),
[iquote('0:Rew:436.0,2355.0')] ).
cnf(2357,plain,
equal(xor__dfg(and__dfg(n6,u),and__dfg(n6,and__dfg(u,n9))),and__dfg(u,n15)),
inference(rew,[status(thm),theory(equality)],[11,2322]),
[iquote('0:Rew:11.0,2322.0')] ).
cnf(2370,plain,
equal(xor__dfg(and__dfg(n14,and__dfg(u,v)),and__dfg(n14,and__dfg(u,and__dfg(v,n9)))),and__dfg(u,and__dfg(v,n16))),
inference(rew,[status(thm),theory(equality)],[11,2336]),
[iquote('0:Rew:11.0,2336.0,11.0,2336.0')] ).
cnf(2374,plain,
equal(and__dfg(i3,and__dfg(u,n21)),and__dfg(u,and__dfg(n2,n21))),
inference(spr,[status(thm),theory(equality)],[2268,17]),
[iquote('0:SpR:2268.0,17.0')] ).
cnf(2382,plain,
equal(and__dfg(n21,n6),and__dfg(i2,and__dfg(n24,n21))),
inference(spr,[status(thm),theory(equality)],[2272,431]),
[iquote('0:SpR:2272.0,431.0')] ).
cnf(2387,plain,
equal(and__dfg(i2,and__dfg(n24,n21)),and__dfg(inv1,n15)),
inference(rew,[status(thm),theory(equality)],[1137,2382]),
[iquote('0:Rew:1137.0,2382.0')] ).
cnf(2397,plain,
equal(and__dfg(n15,n9),xor__dfg(n15,n15)),
inference(spr,[status(thm),theory(equality)],[2323,4]),
[iquote('0:SpR:2323.0,4.0')] ).
cnf(2403,plain,
equal(and__dfg(n15,n9),n0),
inference(rew,[status(thm),theory(equality)],[3,2397]),
[iquote('0:Rew:3.0,2397.0')] ).
cnf(2412,plain,
equal(and__dfg(n6,n9),xor__dfg(n6,n15)),
inference(spr,[status(thm),theory(equality)],[2327,4]),
[iquote('0:SpR:2327.0,4.0')] ).
cnf(2418,plain,
equal(and__dfg(n6,n9),xor__dfg(n15,n6)),
inference(rew,[status(thm),theory(equality)],[14,2412]),
[iquote('0:Rew:14.0,2412.0')] ).
cnf(2427,plain,
equal(and__dfg(n15,and__dfg(u,n9)),and__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[2403,17]),
[iquote('0:SpR:2403.0,17.0')] ).
cnf(2430,plain,
equal(and__dfg(n15,and__dfg(u,n9)),n0),
inference(rew,[status(thm),theory(equality)],[6,2427]),
[iquote('0:Rew:6.0,2427.0')] ).
cnf(2435,plain,
equal(and__dfg(n9,n16),xor__dfg(n16,n16)),
inference(spr,[status(thm),theory(equality)],[2343,4]),
[iquote('0:SpR:2343.0,4.0')] ).
cnf(2441,plain,
equal(and__dfg(n9,n16),n0),
inference(rew,[status(thm),theory(equality)],[3,2435]),
[iquote('0:Rew:3.0,2435.0')] ).
cnf(2451,plain,
equal(and__dfg(n9,and__dfg(u,n16)),and__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[2441,17]),
[iquote('0:SpR:2441.0,17.0')] ).
cnf(2456,plain,
equal(and__dfg(n9,and__dfg(u,n16)),n0),
inference(rew,[status(thm),theory(equality)],[6,2451]),
[iquote('0:Rew:6.0,2451.0')] ).
cnf(2459,plain,
equal(and__dfg(n21,n9),xor__dfg(n21,n21)),
inference(spr,[status(thm),theory(equality)],[2325,4]),
[iquote('0:SpR:2325.0,4.0')] ).
cnf(2465,plain,
equal(and__dfg(n21,n9),n0),
inference(rew,[status(thm),theory(equality)],[3,2459]),
[iquote('0:Rew:3.0,2459.0')] ).
cnf(2474,plain,
equal(and__dfg(inv1,n9),xor__dfg(inv1,n21)),
inference(spr,[status(thm),theory(equality)],[2329,4]),
[iquote('0:SpR:2329.0,4.0')] ).
cnf(2488,plain,
equal(and__dfg(n21,and__dfg(u,n9)),and__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[2465,17]),
[iquote('0:SpR:2465.0,17.0')] ).
cnf(2491,plain,
equal(and__dfg(n21,and__dfg(u,n9)),n0),
inference(rew,[status(thm),theory(equality)],[6,2488]),
[iquote('0:Rew:6.0,2488.0')] ).
cnf(2497,plain,
equal(and__dfg(n6,and__dfg(u,n9)),and__dfg(u,xor__dfg(n15,n6))),
inference(spr,[status(thm),theory(equality)],[2418,17]),
[iquote('0:SpR:2418.0,17.0')] ).
cnf(2502,plain,
equal(and__dfg(n6,and__dfg(u,n9)),xor__dfg(and__dfg(u,n15),and__dfg(u,n6))),
inference(rew,[status(thm),theory(equality)],[11,2497]),
[iquote('0:Rew:11.0,2497.0')] ).
cnf(2503,plain,
equal(xor__dfg(and__dfg(n6,u),xor__dfg(and__dfg(u,n15),and__dfg(u,n6))),and__dfg(u,n15)),
inference(rew,[status(thm),theory(equality)],[2502,2357]),
[iquote('0:Rew:2502.0,2357.0')] ).
cnf(2507,plain,
equal(and__dfg(inv1,and__dfg(u,n9)),and__dfg(u,xor__dfg(inv1,n21))),
inference(spr,[status(thm),theory(equality)],[2474,17]),
[iquote('0:SpR:2474.0,17.0')] ).
cnf(2512,plain,
equal(and__dfg(inv1,and__dfg(u,n9)),xor__dfg(and__dfg(u,inv1),and__dfg(u,n21))),
inference(rew,[status(thm),theory(equality)],[11,2507]),
[iquote('0:Rew:11.0,2507.0')] ).
cnf(2519,plain,
equal(and__dfg(n15,and__dfg(u,and__dfg(v,n9))),and__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[2430,17]),
[iquote('0:SpR:2430.0,17.0')] ).
cnf(2525,plain,
equal(and__dfg(n15,and__dfg(n9,u)),n0),
inference(spr,[status(thm),theory(equality)],[16,2430]),
[iquote('0:SpR:16.0,2430.0')] ).
cnf(2536,plain,
equal(and__dfg(n15,and__dfg(u,and__dfg(v,n9))),n0),
inference(rew,[status(thm),theory(equality)],[6,2519]),
[iquote('0:Rew:6.0,2519.0')] ).
cnf(2539,plain,
equal(and__dfg(i2,and__dfg(i3,n9)),xor__dfg(n14,n16)),
inference(spr,[status(thm),theory(equality)],[2344,4]),
[iquote('0:SpR:2344.0,4.0')] ).
cnf(2545,plain,
equal(and__dfg(i2,and__dfg(i3,n9)),xor__dfg(n16,n14)),
inference(rew,[status(thm),theory(equality)],[14,2539]),
[iquote('0:Rew:14.0,2539.0')] ).
cnf(2568,plain,
equal(and__dfg(n9,xor__dfg(n11,xor__dfg(n12,n16))),n0),
inference(spr,[status(thm),theory(equality)],[986,2456]),
[iquote('0:SpR:986.0,2456.0')] ).
cnf(2577,plain,
equal(xor__dfg(and__dfg(n9,n11),and__dfg(n9,n12)),n0),
inference(rew,[status(thm),theory(equality)],[1,2568,14,2441,11]),
[iquote('0:Rew:1.0,2568.0,14.0,2568.0,2441.0,2568.0,11.0,2568.0,11.0,2568.0')] ).
cnf(2592,plain,
equal(and__dfg(n21,and__dfg(u,and__dfg(v,n9))),and__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[2491,17]),
[iquote('0:SpR:2491.0,17.0')] ).
cnf(2598,plain,
equal(and__dfg(n21,and__dfg(n9,u)),n0),
inference(spr,[status(thm),theory(equality)],[16,2491]),
[iquote('0:SpR:16.0,2491.0')] ).
cnf(2609,plain,
equal(and__dfg(n21,and__dfg(u,and__dfg(v,n9))),n0),
inference(rew,[status(thm),theory(equality)],[6,2592]),
[iquote('0:Rew:6.0,2592.0')] ).
cnf(2642,plain,
equal(and__dfg(i3,and__dfg(i1,n9)),xor__dfg(n23,n19)),
inference(spr,[status(thm),theory(equality)],[2351,4]),
[iquote('0:SpR:2351.0,4.0')] ).
cnf(2648,plain,
equal(and__dfg(i3,and__dfg(i1,n9)),xor__dfg(n19,n23)),
inference(rew,[status(thm),theory(equality)],[14,2642]),
[iquote('0:Rew:14.0,2642.0')] ).
cnf(2731,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(i3,n9))),and__dfg(u,xor__dfg(n16,n14))),
inference(spr,[status(thm),theory(equality)],[2545,17]),
[iquote('0:SpR:2545.0,17.0')] ).
cnf(2736,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(i3,n9))),xor__dfg(and__dfg(u,n16),and__dfg(u,n14))),
inference(rew,[status(thm),theory(equality)],[11,2731]),
[iquote('0:Rew:11.0,2731.0')] ).
cnf(2739,plain,
equal(and__dfg(a1,n9),xor__dfg(a1,and__dfg(a1,n21))),
inference(spr,[status(thm),theory(equality)],[2331,4]),
[iquote('0:SpR:2331.0,4.0')] ).
cnf(2752,plain,
equal(and__dfg(n24,n9),xor__dfg(n24,and__dfg(n24,n21))),
inference(spr,[status(thm),theory(equality)],[2332,4]),
[iquote('0:SpR:2332.0,4.0')] ).
cnf(2765,plain,
equal(and__dfg(n2,n9),xor__dfg(n2,and__dfg(n2,n21))),
inference(spr,[status(thm),theory(equality)],[2334,4]),
[iquote('0:SpR:2334.0,4.0')] ).
cnf(2772,plain,
equal(xor__dfg(n2,xor__dfg(xor__dfg(n2,xor__dfg(n8,n9)),xor__dfg(n2,and__dfg(n2,n21)))),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[2765,1115]),
[iquote('0:Rew:2765.0,1115.0')] ).
cnf(2778,plain,
equal(xor__dfg(xor__dfg(n2,xor__dfg(n8,n9)),and__dfg(n2,n21)),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[4,2772,15]),
[iquote('0:Rew:4.0,2772.0,15.0,2772.0')] ).
cnf(2781,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(n24,n21))),and__dfg(u,and__dfg(inv1,n15))),
inference(spr,[status(thm),theory(equality)],[2387,17]),
[iquote('0:SpR:2387.0,17.0')] ).
cnf(2785,plain,
equal(and__dfg(and__dfg(i1,n9),xor__dfg(n19,n23)),xor__dfg(n19,n23)),
inference(spr,[status(thm),theory(equality)],[2648,372]),
[iquote('0:SpR:2648.0,372.0')] ).
cnf(2787,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(i1,n9))),and__dfg(u,xor__dfg(n19,n23))),
inference(spr,[status(thm),theory(equality)],[2648,17]),
[iquote('0:SpR:2648.0,17.0')] ).
cnf(2791,plain,
equal(xor__dfg(n19,xor__dfg(n23,and__dfg(i1,and__dfg(n9,n19)))),xor__dfg(n19,n23)),
inference(rew,[status(thm),theory(equality)],[14,2785,15,16,17,2648,10,432,11]),
[iquote('0:Rew:14.0,2785.0,15.0,2785.0,16.0,2785.0,17.0,2785.0,16.0,2785.0,2648.0,2785.0,10.0,2785.0,16.0,2785.0,432.0,2785.0,11.0,2785.0')] ).
cnf(2792,plain,
equal(xor__dfg(n19,xor__dfg(n23,and__dfg(n9,n19))),xor__dfg(n19,n23)),
inference(rew,[status(thm),theory(equality)],[1524,2791]),
[iquote('0:Rew:1524.0,2791.0')] ).
cnf(2793,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(i1,n9))),xor__dfg(and__dfg(u,n19),and__dfg(u,n23))),
inference(rew,[status(thm),theory(equality)],[11,2787]),
[iquote('0:Rew:11.0,2787.0')] ).
cnf(2796,plain,
equal(xor__dfg(and__dfg(n9,n12),n0),and__dfg(n9,n11)),
inference(spr,[status(thm),theory(equality)],[2577,161]),
[iquote('0:SpR:2577.0,161.0')] ).
cnf(2802,plain,
equal(and__dfg(n9,n12),and__dfg(n9,n11)),
inference(rew,[status(thm),theory(equality)],[1,2796,14]),
[iquote('0:Rew:1.0,2796.0,14.0,2796.0')] ).
cnf(2815,plain,
equal(and__dfg(n9,and__dfg(u,n12)),and__dfg(u,and__dfg(n9,n11))),
inference(spr,[status(thm),theory(equality)],[2802,17]),
[iquote('0:SpR:2802.0,17.0')] ).
cnf(2861,plain,
equal(and__dfg(i2,and__dfg(and__dfg(u,v),i3)),and__dfg(u,and__dfg(n14,v))),
inference(spr,[status(thm),theory(equality)],[399,422]),
[iquote('0:SpR:399.0,422.0')] ).
cnf(2866,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(n6,v))),and__dfg(u,and__dfg(n6,v))),
inference(spr,[status(thm),theory(equality)],[399,497]),
[iquote('0:SpR:399.0,497.0')] ).
cnf(2867,plain,
equal(and__dfg(i3,and__dfg(and__dfg(u,v),n6)),and__dfg(u,and__dfg(n7,v))),
inference(spr,[status(thm),theory(equality)],[399,427]),
[iquote('0:SpR:399.0,427.0')] ).
cnf(2869,plain,
equal(and__dfg(i3,and__dfg(and__dfg(u,v),i1)),and__dfg(u,and__dfg(n23,v))),
inference(spr,[status(thm),theory(equality)],[399,432]),
[iquote('0:SpR:399.0,432.0')] ).
cnf(2891,plain,
equal(and__dfg(and__dfg(u,v),w),and__dfg(and__dfg(w,v),u)),
inference(spr,[status(thm),theory(equality)],[399,16]),
[iquote('0:SpR:399.0,16.0')] ).
cnf(2943,plain,
equal(and__dfg(and__dfg(i2,n19),u),and__dfg(n6,and__dfg(u,n19))),
inference(spr,[status(thm),theory(equality)],[1901,399]),
[iquote('0:SpR:1901.0,399.0')] ).
cnf(2962,plain,
equal(and__dfg(and__dfg(i3,and__dfg(u,n6)),v),and__dfg(u,and__dfg(v,n7))),
inference(spr,[status(thm),theory(equality)],[427,399]),
[iquote('0:SpR:427.0,399.0')] ).
cnf(2993,plain,
equal(and__dfg(and__dfg(inv1,n15),u),and__dfg(n15,and__dfg(u,n21))),
inference(spr,[status(thm),theory(equality)],[1154,399]),
[iquote('0:SpR:1154.0,399.0')] ).
cnf(3022,plain,
equal(and__dfg(and__dfg(i2,n19),u),and__dfg(n15,and__dfg(u,n16))),
inference(spr,[status(thm),theory(equality)],[1568,399]),
[iquote('0:SpR:1568.0,399.0')] ).
cnf(3038,plain,
equal(and__dfg(and__dfg(u,v),w),and__dfg(u,and__dfg(v,w))),
inference(spr,[status(thm),theory(equality)],[16,399]),
[iquote('0:SpR:16.0,399.0')] ).
cnf(3124,plain,
equal(and__dfg(u,and__dfg(v,w)),and__dfg(u,and__dfg(w,v))),
inference(rew,[status(thm),theory(equality)],[3038,399]),
[iquote('0:Rew:3038.0,399.0')] ).
cnf(3132,plain,
equal(and__dfg(i2,and__dfg(n19,u)),and__dfg(n6,and__dfg(u,n19))),
inference(rew,[status(thm),theory(equality)],[3038,2943]),
[iquote('0:Rew:3038.0,2943.0')] ).
cnf(3136,plain,
equal(and__dfg(i2,and__dfg(n19,u)),and__dfg(n15,and__dfg(u,n16))),
inference(rew,[status(thm),theory(equality)],[3038,3022]),
[iquote('0:Rew:3038.0,3022.0')] ).
cnf(3145,plain,
equal(and__dfg(n15,and__dfg(u,n21)),and__dfg(inv1,and__dfg(n15,u))),
inference(rew,[status(thm),theory(equality)],[3038,2993]),
[iquote('0:Rew:3038.0,2993.0')] ).
cnf(3146,plain,
equal(and__dfg(and__dfg(u,v),w),and__dfg(w,and__dfg(v,u))),
inference(rew,[status(thm),theory(equality)],[3038,2891]),
[iquote('0:Rew:3038.0,2891.0')] ).
cnf(3154,plain,
equal(and__dfg(u,and__dfg(v,w)),and__dfg(w,and__dfg(v,u))),
inference(rew,[status(thm),theory(equality)],[3038,3146]),
[iquote('0:Rew:3038.0,3146.0')] ).
cnf(3156,plain,
equal(and__dfg(i2,and__dfg(i3,and__dfg(u,v))),and__dfg(u,and__dfg(n14,v))),
inference(rew,[status(thm),theory(equality)],[16,2861]),
[iquote('0:Rew:16.0,2861.0')] ).
cnf(3158,plain,
equal(and__dfg(n14,u),and__dfg(i2,and__dfg(i3,and__dfg(i2,u)))),
inference(rew,[status(thm),theory(equality)],[3156,1802]),
[iquote('0:Rew:3156.0,1802.0')] ).
cnf(3160,plain,
equal(xor__dfg(and__dfg(n14,u),and__dfg(i2,and__dfg(i3,and__dfg(n9,u)))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[3156,2356]),
[iquote('0:Rew:3156.0,2356.0')] ).
cnf(3162,plain,
equal(and__dfg(n14,u),and__dfg(i2,and__dfg(i3,u))),
inference(rew,[status(thm),theory(equality)],[10,3158,17]),
[iquote('0:Rew:10.0,3158.0,17.0,3158.0')] ).
cnf(3164,plain,
equal(and__dfg(i2,and__dfg(i3,n22)),not__dfg(xor__dfg(inv1,xor__dfg(n14,n22)))),
inference(rew,[status(thm),theory(equality)],[3162,2176]),
[iquote('0:Rew:3162.0,2176.0')] ).
cnf(3167,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,and__dfg(u,v))),and__dfg(n14,and__dfg(u,and__dfg(v,n9)))),and__dfg(u,and__dfg(v,n16))),
inference(rew,[status(thm),theory(equality)],[3162,2370]),
[iquote('0:Rew:3162.0,2370.0')] ).
cnf(3172,plain,
equal(and__dfg(i3,and__dfg(n6,and__dfg(u,v))),and__dfg(u,and__dfg(n7,v))),
inference(rew,[status(thm),theory(equality)],[16,2867]),
[iquote('0:Rew:16.0,2867.0')] ).
cnf(3174,plain,
equal(and__dfg(n7,u),and__dfg(i3,and__dfg(n6,and__dfg(i3,u)))),
inference(rew,[status(thm),theory(equality)],[3172,1873]),
[iquote('0:Rew:3172.0,1873.0')] ).
cnf(3175,plain,
equal(and__dfg(n7,u),and__dfg(i3,and__dfg(n6,u))),
inference(rew,[status(thm),theory(equality)],[10,3174,17]),
[iquote('0:Rew:10.0,3174.0,17.0,3174.0')] ).
cnf(3180,plain,
equal(and__dfg(i3,and__dfg(i1,and__dfg(u,v))),and__dfg(u,and__dfg(n23,v))),
inference(rew,[status(thm),theory(equality)],[16,2869]),
[iquote('0:Rew:16.0,2869.0')] ).
cnf(3184,plain,
equal(and__dfg(n23,u),and__dfg(i3,and__dfg(i1,and__dfg(i3,u)))),
inference(rew,[status(thm),theory(equality)],[3180,1918]),
[iquote('0:Rew:3180.0,1918.0')] ).
cnf(3185,plain,
equal(and__dfg(n23,u),and__dfg(i3,and__dfg(i1,u))),
inference(rew,[status(thm),theory(equality)],[10,3184,17]),
[iquote('0:Rew:10.0,3184.0,17.0,3184.0')] ).
cnf(3200,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(n6,v))),and__dfg(u,and__dfg(v,n7))),
inference(rew,[status(thm),theory(equality)],[3038,2962]),
[iquote('0:Rew:3038.0,2962.0,3038.0,2962.0')] ).
cnf(3263,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,and__dfg(n9,u))),and__dfg(n14,u)),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[14,3160]),
[iquote('0:Rew:14.0,3160.0')] ).
cnf(3264,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,and__dfg(n9,u))),and__dfg(i2,and__dfg(i3,u))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[3162,3263]),
[iquote('0:Rew:3162.0,3263.0')] ).
cnf(3265,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,u)),and__dfg(i2,and__dfg(i3,and__dfg(n9,u)))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[14,3264]),
[iquote('0:Rew:14.0,3264.0')] ).
cnf(3267,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,n11)),and__dfg(i2,and__dfg(i3,and__dfg(n9,n11)))),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[3265,986]),
[iquote('0:Rew:3265.0,986.0')] ).
cnf(3276,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,and__dfg(u,v))),and__dfg(i2,and__dfg(i3,and__dfg(u,and__dfg(v,n9))))),and__dfg(u,and__dfg(v,n16))),
inference(rew,[status(thm),theory(equality)],[3162,3167]),
[iquote('0:Rew:3162.0,3167.0')] ).
cnf(3279,plain,
equal(and__dfg(i2,and__dfg(n19,u)),xor__dfg(and__dfg(i2,and__dfg(i3,and__dfg(n15,u))),and__dfg(i2,and__dfg(i3,and__dfg(n15,and__dfg(u,n9)))))),
inference(rew,[status(thm),theory(equality)],[3276,3136]),
[iquote('0:Rew:3276.0,3136.0')] ).
cnf(3287,plain,
equal(and__dfg(i2,and__dfg(n19,u)),and__dfg(i2,and__dfg(i3,and__dfg(n15,u)))),
inference(rew,[status(thm),theory(equality)],[1,3279,14,5,16,2430]),
[iquote('0:Rew:1.0,3279.0,14.0,3279.0,5.0,3279.0,16.0,3279.0,5.0,3279.0,16.0,3279.0,2430.0,3279.0')] ).
cnf(3288,plain,
equal(and__dfg(n6,and__dfg(u,n19)),and__dfg(i2,and__dfg(i3,and__dfg(n15,u)))),
inference(rew,[status(thm),theory(equality)],[3287,3132]),
[iquote('0:Rew:3287.0,3132.0')] ).
cnf(3535,plain,
equal(and__dfg(u,and__dfg(v,n14)),and__dfg(and__dfg(v,i3),and__dfg(u,i2))),
inference(spr,[status(thm),theory(equality)],[422,436]),
[iquote('0:SpR:422.0,436.0')] ).
cnf(3544,plain,
equal(and__dfg(u,xor__dfg(a1,xor__dfg(n3,n24))),and__dfg(n24,and__dfg(u,a1))),
inference(spr,[status(thm),theory(equality)],[325,436]),
[iquote('0:SpR:325.0,436.0')] ).
cnf(3547,plain,
equal(and__dfg(i2,and__dfg(u,a1)),and__dfg(u,a1)),
inference(spr,[status(thm),theory(equality)],[1384,436]),
[iquote('0:SpR:1384.0,436.0')] ).
cnf(3559,plain,
equal(and__dfg(u,xor__dfg(n2,xor__dfg(n24,n25))),and__dfg(n24,and__dfg(u,n2))),
inference(spr,[status(thm),theory(equality)],[1080,436]),
[iquote('0:SpR:1080.0,436.0')] ).
cnf(3560,plain,
equal(and__dfg(i3,and__dfg(u,n2)),and__dfg(u,n2)),
inference(spr,[status(thm),theory(equality)],[1354,436]),
[iquote('0:SpR:1354.0,436.0')] ).
cnf(3584,plain,
equal(and__dfg(u,xor__dfg(n16,n14)),and__dfg(and__dfg(i3,n9),and__dfg(u,i2))),
inference(spr,[status(thm),theory(equality)],[2545,436]),
[iquote('0:SpR:2545.0,436.0')] ).
cnf(3834,plain,
equal(and__dfg(a1,and__dfg(i2,u)),and__dfg(u,a1)),
inference(rew,[status(thm),theory(equality)],[436,3547]),
[iquote('0:Rew:436.0,3547.0')] ).
cnf(3845,plain,
equal(and__dfg(n2,and__dfg(i3,u)),and__dfg(u,n2)),
inference(rew,[status(thm),theory(equality)],[436,3560]),
[iquote('0:Rew:436.0,3560.0')] ).
cnf(3939,plain,
equal(and__dfg(u,and__dfg(v,n14)),and__dfg(i2,and__dfg(and__dfg(v,i3),u))),
inference(rew,[status(thm),theory(equality)],[436,3535]),
[iquote('0:Rew:436.0,3535.0')] ).
cnf(3940,plain,
equal(and__dfg(u,and__dfg(v,n14)),and__dfg(i2,and__dfg(v,and__dfg(i3,u)))),
inference(rew,[status(thm),theory(equality)],[3038,3939]),
[iquote('0:Rew:3038.0,3939.0')] ).
cnf(3943,plain,
equal(xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),and__dfg(u,n24))),and__dfg(a1,and__dfg(n24,u))),
inference(rew,[status(thm),theory(equality)],[11,3544,436]),
[iquote('0:Rew:11.0,3544.0,11.0,3544.0,436.0,3544.0')] ).
cnf(3950,plain,
equal(xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n24),and__dfg(u,n25))),and__dfg(n2,and__dfg(n24,u))),
inference(rew,[status(thm),theory(equality)],[11,3559,436]),
[iquote('0:Rew:11.0,3559.0,11.0,3559.0,436.0,3559.0')] ).
cnf(3984,plain,
equal(xor__dfg(and__dfg(u,n16),and__dfg(u,n14)),and__dfg(i2,and__dfg(and__dfg(i3,n9),u))),
inference(rew,[status(thm),theory(equality)],[11,3584,436]),
[iquote('0:Rew:11.0,3584.0,436.0,3584.0')] ).
cnf(3985,plain,
equal(xor__dfg(and__dfg(u,n16),and__dfg(u,n14)),and__dfg(i2,and__dfg(i3,and__dfg(n9,u)))),
inference(rew,[status(thm),theory(equality)],[3038,3984]),
[iquote('0:Rew:3038.0,3984.0')] ).
cnf(4125,plain,
equal(and__dfg(n6,and__dfg(inv2,u)),and__dfg(n15,u)),
inference(spr,[status(thm),theory(equality)],[1242,16]),
[iquote('0:SpR:1242.0,16.0')] ).
cnf(4197,plain,
equal(and__dfg(i2,and__dfg(and__dfg(i3,u),v)),and__dfg(v,and__dfg(u,n14))),
inference(spr,[status(thm),theory(equality)],[1307,436]),
[iquote('0:SpR:1307.0,436.0')] ).
cnf(4222,plain,
equal(and__dfg(i2,and__dfg(i3,and__dfg(u,v))),and__dfg(v,and__dfg(u,n14))),
inference(rew,[status(thm),theory(equality)],[3038,4197]),
[iquote('0:Rew:3038.0,4197.0')] ).
cnf(4226,plain,
equal(and__dfg(i3,a1),and__dfg(i2,n2)),
inference(spr,[status(thm),theory(equality)],[1348,424]),
[iquote('0:SpR:1348.0,424.0')] ).
cnf(4237,plain,
equal(and__dfg(inv1,and__dfg(i3,u)),and__dfg(n2,u)),
inference(spr,[status(thm),theory(equality)],[1348,16]),
[iquote('0:SpR:1348.0,16.0')] ).
cnf(4256,plain,
equal(and__dfg(inv1,n14),and__dfg(a1,i3)),
inference(rew,[status(thm),theory(equality)],[16,4226,1304]),
[iquote('0:Rew:16.0,4226.0,1304.0,4226.0')] ).
cnf(4257,plain,
equal(and__dfg(i2,n2),and__dfg(a1,i3)),
inference(rew,[status(thm),theory(equality)],[4256,1304]),
[iquote('0:Rew:4256.0,1304.0')] ).
cnf(4285,plain,
equal(xor__dfg(xor__dfg(u,xor__dfg(v,w)),x),xor__dfg(xor__dfg(u,w),xor__dfg(x,v))),
inference(spr,[status(thm),theory(equality)],[538]),
[iquote('0:SpR:538.0,538.0')] ).
cnf(4286,plain,
equal(xor__dfg(u,xor__dfg(xor__dfg(v,w),x)),xor__dfg(v,xor__dfg(xor__dfg(u,x),w))),
inference(spr,[status(thm),theory(equality)],[538,15]),
[iquote('0:SpR:538.0,15.0')] ).
cnf(4288,plain,
equal(xor__dfg(xor__dfg(u,v),xor__dfg(w,x)),xor__dfg(w,xor__dfg(u,xor__dfg(x,v)))),
inference(spr,[status(thm),theory(equality)],[538,15]),
[iquote('0:SpR:538.0,15.0')] ).
cnf(4296,plain,
equal(xor__dfg(xor__dfg(u,v),xor__dfg(w,x)),xor__dfg(u,xor__dfg(w,xor__dfg(v,x)))),
inference(spr,[status(thm),theory(equality)],[538]),
[iquote('0:SpR:538.0,538.0')] ).
cnf(4300,plain,
equal(xor__dfg(xor__dfg(u,v),w),xor__dfg(xor__dfg(w,v),u)),
inference(spr,[status(thm),theory(equality)],[538,14]),
[iquote('0:SpR:538.0,14.0')] ).
cnf(4327,plain,
equal(xor__dfg(not__dfg(u),v),xor__dfg(u,xor__dfg(v,n1))),
inference(spr,[status(thm),theory(equality)],[157,538]),
[iquote('0:SpR:157.0,538.0')] ).
cnf(4335,plain,
equal(xor__dfg(xor__dfg(u,v),w),xor__dfg(u,xor__dfg(v,w))),
inference(spr,[status(thm),theory(equality)],[14,538]),
[iquote('0:SpR:14.0,538.0')] ).
cnf(4355,plain,
equal(xor__dfg(not__dfg(u),v),not__dfg(xor__dfg(u,v))),
inference(rew,[status(thm),theory(equality)],[600,4327,157]),
[iquote('0:Rew:600.0,4327.0,157.0,4327.0')] ).
cnf(4365,plain,
equal(xor__dfg(u,xor__dfg(v,w)),xor__dfg(u,xor__dfg(w,v))),
inference(rew,[status(thm),theory(equality)],[4335,538]),
[iquote('0:Rew:4335.0,538.0')] ).
cnf(4369,plain,
equal(xor__dfg(xor__dfg(u,v),w),xor__dfg(w,xor__dfg(v,u))),
inference(rew,[status(thm),theory(equality)],[4335,4300]),
[iquote('0:Rew:4335.0,4300.0')] ).
cnf(4374,plain,
equal(xor__dfg(n2,xor__dfg(xor__dfg(n8,n9),and__dfg(n2,n21))),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[4335,2778]),
[iquote('0:Rew:4335.0,2778.0')] ).
cnf(4385,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(and__dfg(v,u),and__dfg(u,v)))),xor__dfg(v,u)),
inference(rew,[status(thm),theory(equality)],[4335,926]),
[iquote('0:Rew:4335.0,926.0')] ).
cnf(4387,plain,
equal(xor__dfg(u,xor__dfg(v,w)),xor__dfg(w,xor__dfg(v,u))),
inference(rew,[status(thm),theory(equality)],[4335,4369]),
[iquote('0:Rew:4335.0,4369.0')] ).
cnf(4414,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,x))),xor__dfg(u,xor__dfg(w,xor__dfg(x,v)))),
inference(rew,[status(thm),theory(equality)],[4335,4285]),
[iquote('0:Rew:4335.0,4285.0,4335.0,4285.0,4335.0,4285.0')] ).
cnf(4415,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,x))),xor__dfg(v,xor__dfg(u,xor__dfg(x,w)))),
inference(rew,[status(thm),theory(equality)],[4335,4286]),
[iquote('0:Rew:4335.0,4286.0,4335.0,4286.0')] ).
cnf(4416,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,x))),xor__dfg(w,xor__dfg(u,xor__dfg(x,v)))),
inference(rew,[status(thm),theory(equality)],[4335,4288]),
[iquote('0:Rew:4335.0,4288.0')] ).
cnf(4420,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,x))),xor__dfg(u,xor__dfg(w,xor__dfg(v,x)))),
inference(rew,[status(thm),theory(equality)],[4335,4296]),
[iquote('0:Rew:4335.0,4296.0')] ).
cnf(4430,plain,
equal(xor__dfg(n2,xor__dfg(n8,xor__dfg(n9,and__dfg(n2,n21)))),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[4335,4374]),
[iquote('0:Rew:4335.0,4374.0')] ).
cnf(4467,plain,
equal(and__dfg(inv1,and__dfg(a1,i3)),and__dfg(a1,i3)),
inference(spr,[status(thm),theory(equality)],[4256,10]),
[iquote('0:SpR:4256.0,10.0')] ).
cnf(4470,plain,
equal(and__dfg(i2,and__dfg(a1,i3)),and__dfg(a1,i3)),
inference(spr,[status(thm),theory(equality)],[4256,443]),
[iquote('0:SpR:4256.0,443.0')] ).
cnf(4474,plain,
equal(and__dfg(a1,i3),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[969,4467,22,17]),
[iquote('0:Rew:969.0,4467.0,22.0,4467.0,17.0,4467.0')] ).
cnf(4475,plain,
equal(and__dfg(inv1,n14),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[4474,4256]),
[iquote('0:Rew:4474.0,4256.0')] ).
cnf(4476,plain,
equal(and__dfg(i2,n2),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[4474,4257]),
[iquote('0:Rew:4474.0,4257.0')] ).
cnf(4480,plain,
equal(and__dfg(a1,n14),and__dfg(a1,i3)),
inference(rew,[status(thm),theory(equality)],[34,4470,17]),
[iquote('0:Rew:34.0,4470.0,17.0,4470.0')] ).
cnf(4481,plain,
equal(and__dfg(a1,n14),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[4474,4480]),
[iquote('0:Rew:4474.0,4480.0')] ).
cnf(4515,plain,
equal(and__dfg(n14,xor__dfg(a1,xor__dfg(n2,n11))),xor__dfg(a1,xor__dfg(n2,n11))),
inference(spr,[status(thm),theory(equality)],[4481,372]),
[iquote('0:SpR:4481.0,372.0')] ).
cnf(4523,plain,
equal(xor__dfg(xor__dfg(a1,xor__dfg(n2,n11)),xor__dfg(and__dfg(i2,n2),and__dfg(i2,and__dfg(i3,n11)))),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[4481,4515,16,1354,422,1307,11]),
[iquote('0:Rew:4481.0,4515.0,16.0,4515.0,1354.0,4515.0,422.0,4515.0,16.0,4515.0,1307.0,4515.0,16.0,4515.0,11.0,4515.0,11.0,4515.0')] ).
cnf(4524,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n2,xor__dfg(n11,xor__dfg(n11,and__dfg(i2,and__dfg(i3,n11)))))))),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[546,4523,4335,4476]),
[iquote('0:Rew:546.0,4523.0,546.0,4523.0,4335.0,4523.0,4335.0,4523.0,4335.0,4523.0,4335.0,4523.0,4476.0,4523.0')] ).
cnf(4525,plain,
equal(and__dfg(i2,and__dfg(i3,n11)),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[4,4524]),
[iquote('0:Rew:4.0,4524.0,4.0,4524.0,4.0,4524.0')] ).
cnf(4526,plain,
equal(xor__dfg(xor__dfg(a1,xor__dfg(n2,n11)),and__dfg(i2,and__dfg(i3,and__dfg(n9,n11)))),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[4525,3267]),
[iquote('0:Rew:4525.0,3267.0')] ).
cnf(4537,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,and__dfg(i2,and__dfg(i3,and__dfg(n9,n11)))))),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[4335,4526]),
[iquote('0:Rew:4335.0,4526.0,4335.0,4526.0')] ).
cnf(4568,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,xor__dfg(u,x)))),xor__dfg(v,xor__dfg(w,x))),
inference(spr,[status(thm),theory(equality)],[541,15]),
[iquote('0:SpR:541.0,15.0')] ).
cnf(4593,plain,
equal(xor__dfg(n7,xor__dfg(u,xor__dfg(n6,n23))),xor__dfg(u,n22)),
inference(spr,[status(thm),theory(equality)],[1665,541]),
[iquote('0:SpR:1665.0,541.0')] ).
cnf(4622,plain,
equal(xor__dfg(n6,xor__dfg(n7,xor__dfg(u,n23))),xor__dfg(u,n22)),
inference(rew,[status(thm),theory(equality)],[546,4593]),
[iquote('0:Rew:546.0,4593.0')] ).
cnf(4623,plain,
equal(and__dfg(i2,and__dfg(i3,n22)),not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n7,xor__dfg(n14,n23)))))),
inference(rew,[status(thm),theory(equality)],[4622,3164]),
[iquote('0:Rew:4622.0,3164.0')] ).
cnf(4703,plain,
equal(and__dfg(a1,and__dfg(inv1,u)),and__dfg(a1,u)),
inference(spr,[status(thm),theory(equality)],[1385,16]),
[iquote('0:SpR:1385.0,16.0')] ).
cnf(4751,plain,
equal(and__dfg(inv1,and__dfg(i2,u)),and__dfg(a1,u)),
inference(spr,[status(thm),theory(equality)],[1378,16]),
[iquote('0:SpR:1378.0,16.0')] ).
cnf(4829,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,x))),xor__dfg(v,xor__dfg(w,xor__dfg(x,u)))),
inference(spr,[status(thm),theory(equality)],[564,15]),
[iquote('0:SpR:564.0,15.0')] ).
cnf(5040,plain,
equal(and__dfg(i2,xor__dfg(n24,xor__dfg(n7,n10))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(spr,[status(thm),theory(equality)],[1752,1422]),
[iquote('0:SpR:1752.0,1422.0')] ).
cnf(5060,plain,
equal(xor__dfg(n7,xor__dfg(and__dfg(inv1,n6),and__dfg(i2,n10))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[15,5040,1544,1416,11]),
[iquote('0:Rew:15.0,5040.0,1544.0,5040.0,1416.0,5040.0,11.0,5040.0,11.0,5040.0')] ).
cnf(5383,plain,
equal(and__dfg(n2,i1),and__dfg(n2,n24)),
inference(spr,[status(thm),theory(equality)],[1453,433]),
[iquote('0:SpR:1453.0,433.0')] ).
cnf(5411,plain,
equal(and__dfg(n2,i1),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[1080,5383]),
[iquote('0:Rew:1080.0,5383.0')] ).
cnf(5429,plain,
equal(and__dfg(n2,n6),and__dfg(i2,xor__dfg(n2,xor__dfg(n24,n25)))),
inference(spr,[status(thm),theory(equality)],[5411,431]),
[iquote('0:SpR:5411.0,431.0')] ).
cnf(5430,plain,
equal(and__dfg(i3,xor__dfg(n2,xor__dfg(n24,n25))),and__dfg(n2,n23)),
inference(spr,[status(thm),theory(equality)],[5411,432]),
[iquote('0:SpR:5411.0,432.0')] ).
cnf(5436,plain,
equal(and__dfg(n2,n6),xor__dfg(xor__dfg(a1,xor__dfg(n2,n11)),xor__dfg(and__dfg(inv1,n6),and__dfg(i2,n25)))),
inference(rew,[status(thm),theory(equality)],[4476,5429,1544,11]),
[iquote('0:Rew:4476.0,5429.0,1544.0,5429.0,11.0,5429.0,11.0,5429.0')] ).
cnf(5437,plain,
equal(and__dfg(n2,n6),xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(inv1,n6),and__dfg(i2,n25)))))),
inference(rew,[status(thm),theory(equality)],[4335,5436]),
[iquote('0:Rew:4335.0,5436.0,4335.0,5436.0')] ).
cnf(5438,plain,
equal(xor__dfg(n2,xor__dfg(and__dfg(inv1,n23),and__dfg(i3,n25))),and__dfg(n2,n23)),
inference(rew,[status(thm),theory(equality)],[1354,5430,16,1645,11]),
[iquote('0:Rew:1354.0,5430.0,16.0,5430.0,1645.0,5430.0,11.0,5430.0,11.0,5430.0')] ).
cnf(5457,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n15))),and__dfg(u,and__dfg(v,n15))),
inference(spr,[status(thm),theory(equality)],[1515,17]),
[iquote('0:SpR:1515.0,17.0')] ).
cnf(5466,plain,
equal(and__dfg(i2,and__dfg(n15,u)),and__dfg(n15,u)),
inference(spr,[status(thm),theory(equality)],[16,1515]),
[iquote('0:SpR:16.0,1515.0')] ).
cnf(5477,plain,
equal(and__dfg(n15,n19),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[5466,1617]),
[iquote('0:Rew:5466.0,1617.0')] ).
cnf(5694,plain,
equal(and__dfg(i1,n15),and__dfg(n15,n6)),
inference(spr,[status(thm),theory(equality)],[1547,1515]),
[iquote('0:SpR:1547.0,1515.0')] ).
cnf(5697,plain,
equal(and__dfg(i2,and__dfg(i1,u)),and__dfg(n6,u)),
inference(spr,[status(thm),theory(equality)],[1547,16]),
[iquote('0:SpR:1547.0,16.0')] ).
cnf(5698,plain,
equal(and__dfg(n6,and__dfg(i2,and__dfg(i1,u))),and__dfg(i2,and__dfg(i1,u))),
inference(spr,[status(thm),theory(equality)],[1547,372]),
[iquote('0:SpR:1547.0,372.0')] ).
cnf(5708,plain,
equal(and__dfg(n15,and__dfg(i2,and__dfg(i1,u))),and__dfg(u,n15)),
inference(spr,[status(thm),theory(equality)],[1547,428]),
[iquote('0:SpR:1547.0,428.0')] ).
cnf(5722,plain,
equal(and__dfg(n15,i1),n15),
inference(rew,[status(thm),theory(equality)],[16,5694,378]),
[iquote('0:Rew:16.0,5694.0,378.0,5694.0')] ).
cnf(5733,plain,
equal(and__dfg(i2,and__dfg(n15,and__dfg(i1,u))),and__dfg(u,n15)),
inference(rew,[status(thm),theory(equality)],[17,5708]),
[iquote('0:Rew:17.0,5708.0')] ).
cnf(5734,plain,
equal(and__dfg(n15,and__dfg(i1,u)),and__dfg(u,n15)),
inference(rew,[status(thm),theory(equality)],[5466,5733]),
[iquote('0:Rew:5466.0,5733.0')] ).
cnf(5738,plain,
equal(and__dfg(i2,and__dfg(n6,and__dfg(i1,u))),and__dfg(i2,and__dfg(i1,u))),
inference(rew,[status(thm),theory(equality)],[17,5698]),
[iquote('0:Rew:17.0,5698.0')] ).
cnf(5739,plain,
equal(and__dfg(n6,and__dfg(i1,u)),and__dfg(n6,u)),
inference(rew,[status(thm),theory(equality)],[1896,5738,5697]),
[iquote('0:Rew:1896.0,5738.0,5697.0,5738.0')] ).
cnf(6210,plain,
equal(and__dfg(i3,and__dfg(and__dfg(i1,u),v)),and__dfg(v,and__dfg(u,n23))),
inference(spr,[status(thm),theory(equality)],[1648,436]),
[iquote('0:SpR:1648.0,436.0')] ).
cnf(6244,plain,
equal(and__dfg(i3,and__dfg(i1,and__dfg(u,v))),and__dfg(v,and__dfg(u,n23))),
inference(rew,[status(thm),theory(equality)],[3038,6210]),
[iquote('0:Rew:3038.0,6210.0')] ).
cnf(6247,plain,
equal(and__dfg(i1,n2),and__dfg(i3,n24)),
inference(spr,[status(thm),theory(equality)],[1706,423]),
[iquote('0:SpR:1706.0,423.0')] ).
cnf(6248,plain,
equal(and__dfg(i1,a1),and__dfg(i2,n24)),
inference(spr,[status(thm),theory(equality)],[1706,424]),
[iquote('0:SpR:1706.0,424.0')] ).
cnf(6266,plain,
equal(and__dfg(inv1,and__dfg(i1,u)),and__dfg(n24,u)),
inference(spr,[status(thm),theory(equality)],[1706,16]),
[iquote('0:SpR:1706.0,16.0')] ).
cnf(6288,plain,
equal(and__dfg(inv1,n23),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[5411,6247,16,1645]),
[iquote('0:Rew:5411.0,6247.0,16.0,6247.0,1645.0,6247.0')] ).
cnf(6289,plain,
equal(and__dfg(i3,n24),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[6288,1645]),
[iquote('0:Rew:6288.0,1645.0')] ).
cnf(6290,plain,
equal(and__dfg(i3,and__dfg(u,n24)),and__dfg(u,xor__dfg(n2,xor__dfg(n24,n25)))),
inference(rew,[status(thm),theory(equality)],[6288,1676]),
[iquote('0:Rew:6288.0,1676.0')] ).
cnf(6293,plain,
equal(xor__dfg(n2,xor__dfg(xor__dfg(n2,xor__dfg(n24,n25)),and__dfg(i3,n25))),and__dfg(n2,n23)),
inference(rew,[status(thm),theory(equality)],[6288,5438]),
[iquote('0:Rew:6288.0,5438.0')] ).
cnf(6294,plain,
equal(and__dfg(inv1,n6),and__dfg(a1,i1)),
inference(rew,[status(thm),theory(equality)],[16,6248,1544]),
[iquote('0:Rew:16.0,6248.0,1544.0,6248.0')] ).
cnf(6295,plain,
equal(and__dfg(i2,n24),and__dfg(a1,i1)),
inference(rew,[status(thm),theory(equality)],[6294,1544]),
[iquote('0:Rew:6294.0,1544.0')] ).
cnf(6296,plain,
equal(and__dfg(n24,n6),and__dfg(a1,i1)),
inference(rew,[status(thm),theory(equality)],[6294,1710]),
[iquote('0:Rew:6294.0,1710.0')] ).
cnf(6297,plain,
equal(and__dfg(i2,and__dfg(u,n24)),and__dfg(u,and__dfg(a1,i1))),
inference(rew,[status(thm),theory(equality)],[6294,1578]),
[iquote('0:Rew:6294.0,1578.0')] ).
cnf(6301,plain,
equal(xor__dfg(n7,xor__dfg(and__dfg(a1,i1),and__dfg(i2,n10))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[6294,5060]),
[iquote('0:Rew:6294.0,5060.0')] ).
cnf(6302,plain,
equal(and__dfg(n2,n6),xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,i1),and__dfg(i2,n25)))))),
inference(rew,[status(thm),theory(equality)],[6294,5437]),
[iquote('0:Rew:6294.0,5437.0')] ).
cnf(6327,plain,
equal(and__dfg(i3,and__dfg(u,n24)),xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n24),and__dfg(u,n25)))),
inference(rew,[status(thm),theory(equality)],[11,6290]),
[iquote('0:Rew:11.0,6290.0,11.0,6290.0')] ).
cnf(6329,plain,
equal(xor__dfg(n2,xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,and__dfg(i3,n25))))),and__dfg(n2,n23)),
inference(rew,[status(thm),theory(equality)],[4335,6293]),
[iquote('0:Rew:4335.0,6293.0,4335.0,6293.0')] ).
cnf(6330,plain,
equal(xor__dfg(n24,xor__dfg(n25,and__dfg(i3,n25))),and__dfg(n2,n23)),
inference(rew,[status(thm),theory(equality)],[4,6329]),
[iquote('0:Rew:4.0,6329.0')] ).
cnf(6333,plain,
equal(and__dfg(n6,and__dfg(a1,i1)),and__dfg(a1,i1)),
inference(spr,[status(thm),theory(equality)],[6294,372]),
[iquote('0:SpR:6294.0,372.0')] ).
cnf(6334,plain,
equal(and__dfg(inv1,and__dfg(a1,i1)),and__dfg(a1,i1)),
inference(spr,[status(thm),theory(equality)],[6294,10]),
[iquote('0:SpR:6294.0,10.0')] ).
cnf(6338,plain,
equal(and__dfg(i3,and__dfg(a1,i1)),and__dfg(inv1,n7)),
inference(spr,[status(thm),theory(equality)],[6294,427]),
[iquote('0:SpR:6294.0,427.0')] ).
cnf(6339,plain,
equal(and__dfg(n15,and__dfg(a1,i1)),and__dfg(inv1,n15)),
inference(spr,[status(thm),theory(equality)],[6294,428]),
[iquote('0:SpR:6294.0,428.0')] ).
cnf(6340,plain,
equal(and__dfg(i2,and__dfg(a1,i1)),and__dfg(a1,i1)),
inference(spr,[status(thm),theory(equality)],[6294,497]),
[iquote('0:SpR:6294.0,497.0')] ).
cnf(6343,plain,
equal(and__dfg(a1,i1),and__dfg(a1,n6)),
inference(rew,[status(thm),theory(equality)],[1573,6333]),
[iquote('0:Rew:1573.0,6333.0')] ).
cnf(6344,plain,
equal(and__dfg(inv1,n6),and__dfg(a1,n6)),
inference(rew,[status(thm),theory(equality)],[6343,6294]),
[iquote('0:Rew:6343.0,6294.0')] ).
cnf(6345,plain,
equal(and__dfg(i2,n24),and__dfg(a1,n6)),
inference(rew,[status(thm),theory(equality)],[6343,6295]),
[iquote('0:Rew:6343.0,6295.0')] ).
cnf(6346,plain,
equal(and__dfg(n24,n6),and__dfg(a1,n6)),
inference(rew,[status(thm),theory(equality)],[6343,6296]),
[iquote('0:Rew:6343.0,6296.0')] ).
cnf(6347,plain,
equal(and__dfg(i2,and__dfg(u,n24)),and__dfg(u,and__dfg(a1,n6))),
inference(rew,[status(thm),theory(equality)],[6343,6297]),
[iquote('0:Rew:6343.0,6297.0')] ).
cnf(6351,plain,
equal(xor__dfg(n7,xor__dfg(and__dfg(a1,n6),and__dfg(i2,n10))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[6343,6301]),
[iquote('0:Rew:6343.0,6301.0')] ).
cnf(6352,plain,
equal(and__dfg(n2,n6),xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,n6),and__dfg(i2,n25)))))),
inference(rew,[status(thm),theory(equality)],[6343,6302]),
[iquote('0:Rew:6343.0,6302.0')] ).
cnf(6354,plain,
equal(and__dfg(a1,i1),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[325,6334,433]),
[iquote('0:Rew:325.0,6334.0,433.0,6334.0')] ).
cnf(6355,plain,
equal(and__dfg(a1,n6),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[6343,6354]),
[iquote('0:Rew:6343.0,6354.0')] ).
cnf(6357,plain,
equal(and__dfg(inv1,n6),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[6355,6344]),
[iquote('0:Rew:6355.0,6344.0')] ).
cnf(6358,plain,
equal(and__dfg(i2,n24),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[6355,6345]),
[iquote('0:Rew:6355.0,6345.0')] ).
cnf(6359,plain,
equal(and__dfg(n24,n6),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[6355,6346]),
[iquote('0:Rew:6355.0,6346.0')] ).
cnf(6360,plain,
equal(and__dfg(a1,n23),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[432,6338,1752]),
[iquote('0:Rew:432.0,6338.0,1752.0,6338.0')] ).
cnf(6361,plain,
equal(and__dfg(inv1,n15),and__dfg(a1,n15)),
inference(rew,[status(thm),theory(equality)],[5722,6339,17]),
[iquote('0:Rew:5722.0,6339.0,17.0,6339.0')] ).
cnf(6362,plain,
equal(and__dfg(n21,n6),and__dfg(a1,n15)),
inference(rew,[status(thm),theory(equality)],[6361,1137]),
[iquote('0:Rew:6361.0,1137.0')] ).
cnf(6363,plain,
equal(and__dfg(n15,n21),and__dfg(a1,n15)),
inference(rew,[status(thm),theory(equality)],[6361,1154]),
[iquote('0:Rew:6361.0,1154.0')] ).
cnf(6364,plain,
equal(and__dfg(n24,n15),and__dfg(a1,n15)),
inference(rew,[status(thm),theory(equality)],[6361,1734]),
[iquote('0:Rew:6361.0,1734.0')] ).
cnf(6365,plain,
equal(and__dfg(i2,and__dfg(n24,n21)),and__dfg(a1,n15)),
inference(rew,[status(thm),theory(equality)],[6361,2387]),
[iquote('0:Rew:6361.0,2387.0')] ).
cnf(6367,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(n24,n21))),and__dfg(u,and__dfg(a1,n15))),
inference(rew,[status(thm),theory(equality)],[6361,2781]),
[iquote('0:Rew:6361.0,2781.0')] ).
cnf(6372,plain,
equal(and__dfg(a1,i1),and__dfg(a1,n6)),
inference(rew,[status(thm),theory(equality)],[431,6340]),
[iquote('0:Rew:431.0,6340.0')] ).
cnf(6373,plain,
equal(and__dfg(a1,i1),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[6355,6372]),
[iquote('0:Rew:6355.0,6372.0')] ).
cnf(6383,plain,
equal(and__dfg(i2,and__dfg(u,n24)),and__dfg(u,xor__dfg(a1,xor__dfg(n3,n24)))),
inference(rew,[status(thm),theory(equality)],[6355,6347]),
[iquote('0:Rew:6355.0,6347.0')] ).
cnf(6384,plain,
equal(and__dfg(i2,and__dfg(u,n24)),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),and__dfg(u,n24)))),
inference(rew,[status(thm),theory(equality)],[11,6383]),
[iquote('0:Rew:11.0,6383.0,11.0,6383.0')] ).
cnf(6396,plain,
equal(xor__dfg(a1,xor__dfg(n3,xor__dfg(n24,xor__dfg(n7,and__dfg(i2,n10))))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[4420,6351,546,4335,6355]),
[iquote('0:Rew:4420.0,6351.0,546.0,6351.0,4335.0,6351.0,4335.0,6351.0,6355.0,6351.0')] ).
cnf(6397,plain,
equal(and__dfg(n2,n6),xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(i2,n25)))))))),
inference(rew,[status(thm),theory(equality)],[4420,6352,546,4335,6355]),
[iquote('0:Rew:4420.0,6352.0,4420.0,6352.0,546.0,6352.0,4335.0,6352.0,4335.0,6352.0,6355.0,6352.0')] ).
cnf(6398,plain,
equal(and__dfg(n2,n6),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(i2,n25)))))),
inference(rew,[status(thm),theory(equality)],[4,6397]),
[iquote('0:Rew:4.0,6397.0')] ).
cnf(6464,plain,
equal(xor__dfg(and__dfg(u,v),and__dfg(xor__dfg(v,w),u)),and__dfg(u,w)),
inference(spr,[status(thm),theory(equality)],[885,4]),
[iquote('0:SpR:885.0,4.0')] ).
cnf(6497,plain,
equal(and__dfg(xor__dfg(n6,n22),u),xor__dfg(and__dfg(u,n7),and__dfg(u,n23))),
inference(spr,[status(thm),theory(equality)],[1560,885]),
[iquote('0:SpR:1560.0,885.0')] ).
cnf(6499,plain,
equal(and__dfg(xor__dfg(u,v),w),xor__dfg(and__dfg(w,u),and__dfg(v,w))),
inference(spr,[status(thm),theory(equality)],[16,885]),
[iquote('0:SpR:16.0,885.0')] ).
cnf(6729,plain,
equal(xor__dfg(and__dfg(n6,u),and__dfg(u,n6)),xor__dfg(and__dfg(u,n15),and__dfg(u,n15))),
inference(spr,[status(thm),theory(equality)],[2503,541]),
[iquote('0:SpR:2503.0,541.0')] ).
cnf(6803,plain,
equal(xor__dfg(and__dfg(n6,u),and__dfg(u,n6)),n0),
inference(rew,[status(thm),theory(equality)],[3,6729]),
[iquote('0:Rew:3.0,6729.0')] ).
cnf(6845,plain,
equal(and__dfg(n23,xor__dfg(n2,xor__dfg(n24,n25))),xor__dfg(n2,xor__dfg(n24,n25))),
inference(spr,[status(thm),theory(equality)],[6288,372]),
[iquote('0:SpR:6288.0,372.0')] ).
cnf(6850,plain,
equal(and__dfg(i3,xor__dfg(n2,xor__dfg(n24,n25))),xor__dfg(n2,xor__dfg(n24,n25))),
inference(spr,[status(thm),theory(equality)],[6288,500]),
[iquote('0:SpR:6288.0,500.0')] ).
cnf(6851,plain,
equal(and__dfg(i2,xor__dfg(n2,xor__dfg(n24,n25))),and__dfg(inv1,n7)),
inference(spr,[status(thm),theory(equality)],[6288,1562]),
[iquote('0:SpR:6288.0,1562.0')] ).
cnf(6854,plain,
equal(xor__dfg(xor__dfg(a1,xor__dfg(n2,n11)),xor__dfg(and__dfg(i2,n24),and__dfg(i2,n25))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[4476,6851,11,1752]),
[iquote('0:Rew:4476.0,6851.0,11.0,6851.0,11.0,6851.0,1752.0,6851.0')] ).
cnf(6855,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(i2,n25))))))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[4420,6854,546,4335,6358]),
[iquote('0:Rew:4420.0,6854.0,4420.0,6854.0,546.0,6854.0,4335.0,6854.0,4335.0,6854.0,4335.0,6854.0,4335.0,6854.0,6358.0,6854.0')] ).
cnf(6856,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(i2,n25))))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[4,6855]),
[iquote('0:Rew:4.0,6855.0')] ).
cnf(6857,plain,
equal(and__dfg(n2,n6),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[6856,6398]),
[iquote('0:Rew:6856.0,6398.0')] ).
cnf(6859,plain,
equal(xor__dfg(and__dfg(n2,n23),xor__dfg(and__dfg(i3,n24),and__dfg(i3,and__dfg(i1,n25)))),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[16,6845,1715,432,1648,11]),
[iquote('0:Rew:16.0,6845.0,1715.0,6845.0,432.0,6845.0,16.0,6845.0,1648.0,6845.0,16.0,6845.0,11.0,6845.0,11.0,6845.0')] ).
cnf(6860,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,xor__dfg(and__dfg(n2,n23),and__dfg(i3,and__dfg(i1,n25)))))),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[4420,6859,546,4335,6289]),
[iquote('0:Rew:4420.0,6859.0,546.0,6859.0,4335.0,6859.0,4335.0,6859.0,6289.0,6859.0')] ).
cnf(6866,plain,
equal(xor__dfg(n2,xor__dfg(and__dfg(i3,n24),and__dfg(i3,n25))),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[1354,6850,16,11]),
[iquote('0:Rew:1354.0,6850.0,16.0,6850.0,11.0,6850.0,11.0,6850.0')] ).
cnf(6867,plain,
equal(xor__dfg(n2,xor__dfg(n2,and__dfg(n2,n23))),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[6330,6866,4335,6289]),
[iquote('0:Rew:6330.0,6866.0,4335.0,6866.0,4335.0,6866.0,6289.0,6866.0')] ).
cnf(6868,plain,
equal(and__dfg(n2,n23),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[4,6867]),
[iquote('0:Rew:4.0,6867.0')] ).
cnf(6870,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,xor__dfg(xor__dfg(n2,xor__dfg(n24,n25)),and__dfg(i3,and__dfg(i1,n25)))))),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[6868,6860]),
[iquote('0:Rew:6868.0,6860.0')] ).
cnf(6876,plain,
equal(xor__dfg(n2,xor__dfg(n2,xor__dfg(n24,xor__dfg(n24,and__dfg(i3,and__dfg(i1,n25)))))),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[546,6870,4568,4335]),
[iquote('0:Rew:546.0,6870.0,4568.0,6870.0,4335.0,6870.0,4335.0,6870.0')] ).
cnf(6877,plain,
equal(and__dfg(i3,and__dfg(i1,n25)),xor__dfg(n2,xor__dfg(n24,n25))),
inference(rew,[status(thm),theory(equality)],[4,6876]),
[iquote('0:Rew:4.0,6876.0,4.0,6876.0')] ).
cnf(6898,plain,
equal(and__dfg(n6,xor__dfg(a1,xor__dfg(n3,n24))),xor__dfg(a1,xor__dfg(n3,n24))),
inference(spr,[status(thm),theory(equality)],[6355,372]),
[iquote('0:SpR:6355.0,372.0')] ).
cnf(6903,plain,
equal(and__dfg(i3,xor__dfg(a1,xor__dfg(n3,n24))),and__dfg(a1,n7)),
inference(spr,[status(thm),theory(equality)],[6355,427]),
[iquote('0:SpR:6355.0,427.0')] ).
cnf(6904,plain,
equal(and__dfg(n15,xor__dfg(a1,xor__dfg(n3,n24))),and__dfg(a1,n15)),
inference(spr,[status(thm),theory(equality)],[6355,428]),
[iquote('0:SpR:6355.0,428.0')] ).
cnf(6905,plain,
equal(and__dfg(i2,xor__dfg(a1,xor__dfg(n3,n24))),xor__dfg(a1,xor__dfg(n3,n24))),
inference(spr,[status(thm),theory(equality)],[6355,497]),
[iquote('0:SpR:6355.0,497.0')] ).
cnf(6910,plain,
equal(xor__dfg(n2,xor__dfg(xor__dfg(a1,xor__dfg(n2,n11)),xor__dfg(xor__dfg(n24,n25),and__dfg(i3,n3)))),and__dfg(a1,n7)),
inference(rew,[status(thm),theory(equality)],[15,6903,4474,16,564,6289,11]),
[iquote('0:Rew:15.0,6903.0,4474.0,6903.0,16.0,6903.0,564.0,6903.0,6289.0,6903.0,11.0,6903.0,11.0,6903.0')] ).
cnf(6911,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n2,xor__dfg(n24,xor__dfg(n11,xor__dfg(n25,and__dfg(i3,n3))))))),and__dfg(a1,n7)),
inference(rew,[status(thm),theory(equality)],[546,6910,4420,4335]),
[iquote('0:Rew:546.0,6910.0,4420.0,6910.0,4335.0,6910.0,4335.0,6910.0,4335.0,6910.0')] ).
cnf(6912,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n11,xor__dfg(n25,and__dfg(i3,n3))))),and__dfg(a1,n7)),
inference(rew,[status(thm),theory(equality)],[4,6911]),
[iquote('0:Rew:4.0,6911.0')] ).
cnf(6913,plain,
equal(and__dfg(a1,n15),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[1,6904,14,3,564,16,311,6364,11]),
[iquote('0:Rew:1.0,6904.0,14.0,6904.0,3.0,6904.0,564.0,6904.0,16.0,6904.0,311.0,6904.0,16.0,6904.0,6364.0,6904.0,16.0,6904.0,11.0,6904.0,11.0,6904.0')] ).
cnf(6914,plain,
equal(and__dfg(inv1,n15),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[6913,6361]),
[iquote('0:Rew:6913.0,6361.0')] ).
cnf(6915,plain,
equal(and__dfg(n21,n6),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[6913,6362]),
[iquote('0:Rew:6913.0,6362.0')] ).
cnf(6916,plain,
equal(and__dfg(n15,n21),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[6913,6363]),
[iquote('0:Rew:6913.0,6363.0')] ).
cnf(6917,plain,
equal(and__dfg(n24,n15),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[6913,6364]),
[iquote('0:Rew:6913.0,6364.0')] ).
cnf(6918,plain,
equal(and__dfg(i2,and__dfg(n24,n21)),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[6913,6365]),
[iquote('0:Rew:6913.0,6365.0')] ).
cnf(6923,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(n24,n21))),and__dfg(u,xor__dfg(n3,xor__dfg(n4,n15)))),
inference(rew,[status(thm),theory(equality)],[6913,6367]),
[iquote('0:Rew:6913.0,6367.0')] ).
cnf(6928,plain,
equal(xor__dfg(xor__dfg(a1,xor__dfg(n3,n24)),xor__dfg(and__dfg(n3,n6),and__dfg(n24,n6))),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[6355,6898,16,11]),
[iquote('0:Rew:6355.0,6898.0,16.0,6898.0,16.0,6898.0,16.0,6898.0,11.0,6898.0,11.0,6898.0')] ).
cnf(6929,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n3,xor__dfg(n3,and__dfg(n3,n6))))),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[546,6928,4568,4420,4335,4387,6359]),
[iquote('0:Rew:546.0,6928.0,4568.0,6928.0,4420.0,6928.0,4335.0,6928.0,4335.0,6928.0,4420.0,6928.0,4335.0,6928.0,4387.0,6928.0,6359.0,6928.0')] ).
cnf(6930,plain,
equal(and__dfg(n3,n6),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[4,6929]),
[iquote('0:Rew:4.0,6929.0,4.0,6929.0')] ).
cnf(6935,plain,
equal(xor__dfg(a1,xor__dfg(and__dfg(i2,n3),and__dfg(i2,n24))),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[1384,6905,16,11]),
[iquote('0:Rew:1384.0,6905.0,16.0,6905.0,11.0,6905.0,11.0,6905.0')] ).
cnf(6936,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n3,xor__dfg(n24,and__dfg(i2,n3))))),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[4420,6935,4335,4387,6358]),
[iquote('0:Rew:4420.0,6935.0,4420.0,6935.0,4335.0,6935.0,4387.0,6935.0,6358.0,6935.0')] ).
cnf(6937,plain,
equal(xor__dfg(n3,xor__dfg(n24,and__dfg(i2,n3))),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[4,6936]),
[iquote('0:Rew:4.0,6936.0')] ).
cnf(6947,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(n24,n21))),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n15)))),
inference(rew,[status(thm),theory(equality)],[11,6923]),
[iquote('0:Rew:11.0,6923.0,11.0,6923.0')] ).
cnf(6958,plain,
equal(and__dfg(a1,xor__dfg(n24,xor__dfg(n7,n10))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(spr,[status(thm),theory(equality)],[6360,10]),
[iquote('0:SpR:6360.0,10.0')] ).
cnf(6963,plain,
equal(and__dfg(i2,xor__dfg(n24,xor__dfg(n7,n10))),and__dfg(a1,n7)),
inference(spr,[status(thm),theory(equality)],[6360,1562]),
[iquote('0:SpR:6360.0,1562.0')] ).
cnf(6967,plain,
equal(xor__dfg(n7,xor__dfg(and__dfg(i2,n24),and__dfg(i2,n10))),and__dfg(a1,n7)),
inference(rew,[status(thm),theory(equality)],[15,6963,1416,11]),
[iquote('0:Rew:15.0,6963.0,1416.0,6963.0,11.0,6963.0,11.0,6963.0')] ).
cnf(6968,plain,
equal(and__dfg(a1,n7),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[6396,6967,4420,546,4335,6358]),
[iquote('0:Rew:6396.0,6967.0,4420.0,6967.0,546.0,6967.0,4335.0,6967.0,4335.0,6967.0,6358.0,6967.0')] ).
cnf(6969,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n11,xor__dfg(n25,and__dfg(i3,n3))))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[6968,6912]),
[iquote('0:Rew:6968.0,6912.0')] ).
cnf(6972,plain,
equal(xor__dfg(a1,xor__dfg(xor__dfg(a1,xor__dfg(n3,n24)),xor__dfg(xor__dfg(n8,n10),and__dfg(a1,n7)))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[15,6958,325,564,339,11]),
[iquote('0:Rew:15.0,6958.0,325.0,6958.0,564.0,6958.0,339.0,6958.0,11.0,6958.0,11.0,6958.0')] ).
cnf(6973,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n3,xor__dfg(n24,xor__dfg(n24,xor__dfg(n7,xor__dfg(n8,xor__dfg(n10,n10)))))))),xor__dfg(n24,xor__dfg(n7,n10))),
inference(rew,[status(thm),theory(equality)],[4335,6972,546,4829,6968]),
[iquote('0:Rew:4335.0,6972.0,4335.0,6972.0,546.0,6972.0,4829.0,6972.0,4335.0,6972.0,6968.0,6972.0')] ).
cnf(6974,plain,
equal(xor__dfg(n24,xor__dfg(n7,n10)),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[4,6973,1,14,3]),
[iquote('0:Rew:4.0,6973.0,4.0,6973.0,1.0,6973.0,14.0,6973.0,3.0,6973.0')] ).
cnf(6975,plain,
equal(and__dfg(inv1,n7),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[6974,1752]),
[iquote('0:Rew:6974.0,1752.0')] ).
cnf(6976,plain,
equal(and__dfg(a1,n23),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[6974,6360]),
[iquote('0:Rew:6974.0,6360.0')] ).
cnf(6982,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(i2,n25))))),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[6974,6856]),
[iquote('0:Rew:6974.0,6856.0')] ).
cnf(6983,plain,
equal(and__dfg(n2,n6),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[6974,6857]),
[iquote('0:Rew:6974.0,6857.0')] ).
cnf(6985,plain,
equal(and__dfg(a1,n7),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[6974,6968]),
[iquote('0:Rew:6974.0,6968.0')] ).
cnf(6998,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n11,xor__dfg(n25,and__dfg(i3,n3))))),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[6974,6969]),
[iquote('0:Rew:6974.0,6969.0')] ).
cnf(7212,plain,
equal(and__dfg(n24,and__dfg(u,xor__dfg(a1,xor__dfg(n3,n24)))),and__dfg(u,xor__dfg(a1,xor__dfg(n3,n24)))),
inference(spr,[status(thm),theory(equality)],[6359,402]),
[iquote('0:SpR:6359.0,402.0')] ).
cnf(7230,plain,
equal(xor__dfg(and__dfg(a1,and__dfg(n24,u)),xor__dfg(and__dfg(n3,and__dfg(n24,u)),and__dfg(u,n24))),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),and__dfg(u,n24)))),
inference(rew,[status(thm),theory(equality)],[436,7212,372,11]),
[iquote('0:Rew:436.0,7212.0,436.0,7212.0,372.0,7212.0,11.0,7212.0,11.0,7212.0,11.0,7212.0,11.0,7212.0')] ).
cnf(7343,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),and__dfg(v,and__dfg(n6,and__dfg(u,n19)))),
inference(spr,[status(thm),theory(equality)],[1901,405]),
[iquote('0:SpR:1901.0,405.0')] ).
cnf(7445,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),and__dfg(v,and__dfg(n6,and__dfg(u,n16)))),
inference(spr,[status(thm),theory(equality)],[1567,405]),
[iquote('0:SpR:1567.0,405.0')] ).
cnf(7508,plain,
equal(and__dfg(u,xor__dfg(n16,n14)),and__dfg(i2,and__dfg(i3,and__dfg(u,n9)))),
inference(spr,[status(thm),theory(equality)],[2545,405]),
[iquote('0:SpR:2545.0,405.0')] ).
cnf(7577,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n24))),and__dfg(u,and__dfg(v,xor__dfg(a1,xor__dfg(n3,n24))))),
inference(spr,[status(thm),theory(equality)],[6358,405]),
[iquote('0:SpR:6358.0,405.0')] ).
cnf(7602,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n21))),and__dfg(u,and__dfg(v,and__dfg(a1,n21)))),
inference(spr,[status(thm),theory(equality)],[2295,405]),
[iquote('0:SpR:2295.0,405.0')] ).
cnf(7807,plain,
equal(xor__dfg(and__dfg(u,n16),and__dfg(u,n14)),and__dfg(i2,and__dfg(i3,and__dfg(u,n9)))),
inference(rew,[status(thm),theory(equality)],[11,7508]),
[iquote('0:Rew:11.0,7508.0')] ).
cnf(7879,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),and__dfg(v,and__dfg(i2,and__dfg(i3,and__dfg(n15,u))))),
inference(rew,[status(thm),theory(equality)],[3288,7343]),
[iquote('0:Rew:3288.0,7343.0')] ).
cnf(7890,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),and__dfg(v,xor__dfg(and__dfg(i3,and__dfg(n6,u)),and__dfg(i2,and__dfg(i3,xor__dfg(and__dfg(u,n15),and__dfg(u,n6))))))),
inference(rew,[status(thm),theory(equality)],[2866,7445,2502,3276]),
[iquote('0:Rew:2866.0,7445.0,2502.0,7445.0,3276.0,7445.0')] ).
cnf(7891,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(n6,u))),xor__dfg(and__dfg(v,and__dfg(i2,and__dfg(i3,and__dfg(u,n15)))),and__dfg(v,and__dfg(i2,and__dfg(i3,and__dfg(u,n6))))))),
inference(rew,[status(thm),theory(equality)],[11,7890]),
[iquote('0:Rew:11.0,7890.0,11.0,7890.0,11.0,7890.0,11.0,7890.0')] ).
cnf(7892,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(n6,u))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(u,n15))),and__dfg(v,and__dfg(i3,and__dfg(u,n6)))))),
inference(rew,[status(thm),theory(equality)],[5457,7891,1885]),
[iquote('0:Rew:5457.0,7891.0,1885.0,7891.0')] ).
cnf(8031,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n24))),xor__dfg(and__dfg(u,and__dfg(v,a1)),xor__dfg(and__dfg(u,and__dfg(v,n3)),and__dfg(u,and__dfg(v,n24))))),
inference(rew,[status(thm),theory(equality)],[11,7577]),
[iquote('0:Rew:11.0,7577.0,11.0,7577.0,11.0,7577.0,11.0,7577.0')] ).
cnf(8096,plain,
equal(and__dfg(n2,n7),and__dfg(i2,xor__dfg(n2,xor__dfg(n24,n25)))),
inference(spr,[status(thm),theory(equality)],[6868,1562]),
[iquote('0:SpR:6868.0,1562.0')] ).
cnf(8103,plain,
equal(and__dfg(n2,n7),xor__dfg(xor__dfg(a1,xor__dfg(n2,n11)),xor__dfg(xor__dfg(a1,xor__dfg(n3,n24)),and__dfg(i2,n25)))),
inference(rew,[status(thm),theory(equality)],[4476,8096,6358,11]),
[iquote('0:Rew:4476.0,8096.0,6358.0,8096.0,11.0,8096.0,11.0,8096.0')] ).
cnf(8104,plain,
equal(and__dfg(n2,n7),xor__dfg(a1,xor__dfg(a1,xor__dfg(n3,xor__dfg(n7,n8))))),
inference(rew,[status(thm),theory(equality)],[6982,8103,4420,546,4335]),
[iquote('0:Rew:6982.0,8103.0,4420.0,8103.0,4420.0,8103.0,546.0,8103.0,4335.0,8103.0,4335.0,8103.0,4335.0,8103.0,4335.0,8103.0')] ).
cnf(8105,plain,
equal(and__dfg(n2,n7),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[4,8104]),
[iquote('0:Rew:4.0,8104.0')] ).
cnf(8125,plain,
equal(and__dfg(a1,and__dfg(n15,u)),and__dfg(u,xor__dfg(n3,xor__dfg(n4,n15)))),
inference(spr,[status(thm),theory(equality)],[6913,436]),
[iquote('0:SpR:6913.0,436.0')] ).
cnf(8139,plain,
equal(and__dfg(a1,and__dfg(n15,u)),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n15)))),
inference(rew,[status(thm),theory(equality)],[11,8125]),
[iquote('0:Rew:11.0,8125.0,11.0,8125.0')] ).
cnf(8157,plain,
equal(and__dfg(inv1,xor__dfg(n3,xor__dfg(n4,n15))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(spr,[status(thm),theory(equality)],[6914,10]),
[iquote('0:SpR:6914.0,10.0')] ).
cnf(8169,plain,
equal(xor__dfg(n3,xor__dfg(xor__dfg(n4,n15),xor__dfg(and__dfg(inv1,n3),and__dfg(inv1,n4)))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[15,8157,564,6914,11]),
[iquote('0:Rew:15.0,8157.0,15.0,8157.0,564.0,8157.0,6914.0,8157.0,11.0,8157.0,11.0,8157.0')] ).
cnf(8170,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n15,xor__dfg(and__dfg(inv1,n3),and__dfg(inv1,n4))))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[4335,8169]),
[iquote('0:Rew:4335.0,8169.0')] ).
cnf(8186,plain,
equal(and__dfg(n21,xor__dfg(n3,xor__dfg(n4,n15))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(spr,[status(thm),theory(equality)],[6915,10]),
[iquote('0:SpR:6915.0,10.0')] ).
cnf(8203,plain,
equal(xor__dfg(xor__dfg(o3,xor__dfg(n4,n21)),xor__dfg(and__dfg(n3,n21),and__dfg(n15,n21))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[15,8186,16,1002,11]),
[iquote('0:Rew:15.0,8186.0,16.0,8186.0,1002.0,8186.0,16.0,8186.0,16.0,8186.0,11.0,8186.0,11.0,8186.0')] ).
cnf(8204,plain,
equal(xor__dfg(o3,xor__dfg(n3,xor__dfg(n4,xor__dfg(n4,xor__dfg(n15,xor__dfg(n21,and__dfg(n3,n21))))))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[546,8203,4420,4335,4387,6916]),
[iquote('0:Rew:546.0,8203.0,4420.0,8203.0,546.0,8203.0,4420.0,8203.0,4335.0,8203.0,4335.0,8203.0,4420.0,8203.0,4335.0,8203.0,4387.0,8203.0,6916.0,8203.0')] ).
cnf(8205,plain,
equal(xor__dfg(o3,xor__dfg(n3,xor__dfg(n15,xor__dfg(n21,and__dfg(n3,n21))))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[4,8204]),
[iquote('0:Rew:4.0,8204.0')] ).
cnf(8251,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,xor__dfg(x,y)))),xor__dfg(v,xor__dfg(u,xor__dfg(x,xor__dfg(w,y))))),
inference(spr,[status(thm),theory(equality)],[546]),
[iquote('0:SpR:546.0,546.0')] ).
cnf(8268,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,x))),xor__dfg(w,xor__dfg(v,xor__dfg(u,x)))),
inference(spr,[status(thm),theory(equality)],[546,15]),
[iquote('0:SpR:546.0,15.0')] ).
cnf(8285,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,xor__dfg(x,y)))),xor__dfg(v,xor__dfg(x,xor__dfg(w,xor__dfg(u,y))))),
inference(spr,[status(thm),theory(equality)],[546]),
[iquote('0:SpR:546.0,546.0')] ).
cnf(8286,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,xor__dfg(x,y)))),xor__dfg(w,xor__dfg(x,xor__dfg(u,xor__dfg(v,y))))),
inference(spr,[status(thm),theory(equality)],[546]),
[iquote('0:SpR:546.0,546.0')] ).
cnf(8299,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,xor__dfg(x,y)))),xor__dfg(v,xor__dfg(w,xor__dfg(u,xor__dfg(y,x))))),
inference(spr,[status(thm),theory(equality)],[4365,546]),
[iquote('0:SpR:4365.0,546.0')] ).
cnf(8325,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,x))),xor__dfg(w,xor__dfg(x,xor__dfg(u,v)))),
inference(spr,[status(thm),theory(equality)],[564,546]),
[iquote('0:SpR:564.0,546.0')] ).
cnf(8596,plain,
equal(xor__dfg(u,xor__dfg(and__dfg(u,v),and__dfg(v,u))),xor__dfg(v,xor__dfg(u,v))),
inference(spr,[status(thm),theory(equality)],[4385,4]),
[iquote('0:SpR:4385.0,4.0')] ).
cnf(8996,plain,
equal(xor__dfg(u,xor__dfg(and__dfg(u,v),and__dfg(v,u))),u),
inference(rew,[status(thm),theory(equality)],[161,8596]),
[iquote('0:Rew:161.0,8596.0')] ).
cnf(9309,plain,
equal(and__dfg(n2,xor__dfg(n3,xor__dfg(n7,n8))),xor__dfg(n3,xor__dfg(n7,n8))),
inference(spr,[status(thm),theory(equality)],[6983,10]),
[iquote('0:SpR:6983.0,10.0')] ).
cnf(9330,plain,
equal(xor__dfg(n2,xor__dfg(xor__dfg(n8,n9),xor__dfg(and__dfg(n2,n3),and__dfg(n2,n7)))),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[546,9309,564,940,11]),
[iquote('0:Rew:546.0,9309.0,564.0,9309.0,940.0,9309.0,11.0,9309.0,11.0,9309.0')] ).
cnf(9331,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n7,xor__dfg(n8,xor__dfg(n8,xor__dfg(n9,and__dfg(n2,n3))))))),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[8268,9330,4420,8286,4335,4416,8325,8105]),
[iquote('0:Rew:8268.0,9330.0,4420.0,9330.0,8268.0,9330.0,4420.0,9330.0,8286.0,9330.0,4335.0,9330.0,8268.0,9330.0,4416.0,9330.0,8325.0,9330.0,8105.0,9330.0')] ).
cnf(9332,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n7,xor__dfg(n9,and__dfg(n2,n3))))),xor__dfg(n3,xor__dfg(n7,n8))),
inference(rew,[status(thm),theory(equality)],[4,9331]),
[iquote('0:Rew:4.0,9331.0')] ).
cnf(9446,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,u)),and__dfg(i2,and__dfg(i3,and__dfg(u,n9)))),and__dfg(u,n16)),
inference(spr,[status(thm),theory(equality)],[16,3265]),
[iquote('0:SpR:16.0,3265.0')] ).
cnf(9453,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,u)),and__dfg(i2,and__dfg(u,and__dfg(i3,n9)))),and__dfg(u,n16)),
inference(spr,[status(thm),theory(equality)],[436,3265]),
[iquote('0:SpR:436.0,3265.0')] ).
cnf(9522,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,u)),xor__dfg(and__dfg(u,n16),and__dfg(u,n14))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[2736,9453]),
[iquote('0:Rew:2736.0,9453.0')] ).
cnf(10134,plain,
equal(and__dfg(n21,n14),and__dfg(inv1,and__dfg(i2,and__dfg(i3,inv2)))),
inference(spr,[status(thm),theory(equality)],[1307,2247]),
[iquote('0:SpR:1307.0,2247.0')] ).
cnf(10138,plain,
equal(and__dfg(inv1,and__dfg(i3,and__dfg(i1,inv2))),and__dfg(n21,n23)),
inference(spr,[status(thm),theory(equality)],[1648,2247]),
[iquote('0:SpR:1648.0,2247.0')] ).
cnf(10202,plain,
equal(and__dfg(inv1,and__dfg(i2,and__dfg(i3,inv2))),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[2277,10134,2268,1307]),
[iquote('0:Rew:2277.0,10134.0,2268.0,10134.0,1307.0,10134.0')] ).
cnf(10203,plain,
equal(and__dfg(a1,xor__dfg(i3,and__dfg(i3,n9))),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[4751,10202,2311]),
[iquote('0:Rew:4751.0,10202.0,2311.0,10202.0')] ).
cnf(10204,plain,
equal(xor__dfg(xor__dfg(a1,xor__dfg(n2,n11)),and__dfg(a1,and__dfg(i3,n9))),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[4474,10203,11]),
[iquote('0:Rew:4474.0,10203.0,11.0,10203.0')] ).
cnf(10205,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,and__dfg(a1,and__dfg(i3,n9))))),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[4335,10204]),
[iquote('0:Rew:4335.0,10204.0,4335.0,10204.0')] ).
cnf(10217,plain,
equal(and__dfg(inv1,and__dfg(i3,and__dfg(i1,inv2))),and__dfg(i3,and__dfg(n24,n21))),
inference(rew,[status(thm),theory(equality)],[2272,10138,432]),
[iquote('0:Rew:2272.0,10138.0,432.0,10138.0')] ).
cnf(10218,plain,
equal(and__dfg(n2,xor__dfg(i1,and__dfg(i1,n9))),and__dfg(i3,and__dfg(n24,n21))),
inference(rew,[status(thm),theory(equality)],[4237,10217,2311]),
[iquote('0:Rew:4237.0,10217.0,2311.0,10217.0')] ).
cnf(10219,plain,
equal(xor__dfg(xor__dfg(n2,xor__dfg(n24,n25)),and__dfg(n2,and__dfg(i1,n9))),and__dfg(i3,and__dfg(n24,n21))),
inference(rew,[status(thm),theory(equality)],[5411,10218,11]),
[iquote('0:Rew:5411.0,10218.0,11.0,10218.0')] ).
cnf(10220,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,and__dfg(n2,and__dfg(i1,n9))))),and__dfg(i3,and__dfg(n24,n21))),
inference(rew,[status(thm),theory(equality)],[4335,10219]),
[iquote('0:Rew:4335.0,10219.0,4335.0,10219.0')] ).
cnf(12527,plain,
equal(and__dfg(n21,xor__dfg(n19,n23)),n0),
inference(spr,[status(thm),theory(equality)],[2648,2609]),
[iquote('0:SpR:2648.0,2609.0')] ).
cnf(12540,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(n24,n21)),and__dfg(n21,n19)),n0),
inference(rew,[status(thm),theory(equality)],[14,12527,2272,432,11]),
[iquote('0:Rew:14.0,12527.0,2272.0,12527.0,432.0,12527.0,11.0,12527.0')] ).
cnf(13595,plain,
equal(and__dfg(inv2,u),xor__dfg(u,and__dfg(u,n9))),
inference(spr,[status(thm),theory(equality)],[2311,16]),
[iquote('0:SpR:2311.0,16.0')] ).
cnf(13705,plain,
equal(and__dfg(a1,and__dfg(i2,u)),and__dfg(a1,u)),
inference(spr,[status(thm),theory(equality)],[3834,16]),
[iquote('0:SpR:3834.0,16.0')] ).
cnf(13838,plain,
equal(and__dfg(n2,and__dfg(i3,u)),and__dfg(n2,u)),
inference(spr,[status(thm),theory(equality)],[3845,16]),
[iquote('0:SpR:3845.0,16.0')] ).
cnf(14342,plain,
equal(and__dfg(n2,n19),and__dfg(inv1,n19)),
inference(spr,[status(thm),theory(equality)],[511,4237]),
[iquote('0:SpR:511.0,4237.0')] ).
cnf(14344,plain,
equal(and__dfg(n2,n15),and__dfg(inv1,and__dfg(i2,n19))),
inference(spr,[status(thm),theory(equality)],[1566,4237]),
[iquote('0:SpR:1566.0,4237.0')] ).
cnf(14354,plain,
equal(and__dfg(inv1,and__dfg(u,n7)),and__dfg(n2,and__dfg(n6,u))),
inference(spr,[status(thm),theory(equality)],[1412,4237]),
[iquote('0:SpR:1412.0,4237.0')] ).
cnf(14357,plain,
equal(and__dfg(n2,and__dfg(i1,n9)),and__dfg(inv1,xor__dfg(n19,n23))),
inference(spr,[status(thm),theory(equality)],[2648,4237]),
[iquote('0:SpR:2648.0,4237.0')] ).
cnf(14382,plain,
equal(and__dfg(n2,n15),and__dfg(a1,n19)),
inference(rew,[status(thm),theory(equality)],[4751,14344]),
[iquote('0:Rew:4751.0,14344.0')] ).
cnf(14407,plain,
equal(and__dfg(n2,and__dfg(i1,n9)),xor__dfg(n2,xor__dfg(xor__dfg(n24,n25),and__dfg(inv1,n19)))),
inference(rew,[status(thm),theory(equality)],[564,14357,6288,11]),
[iquote('0:Rew:564.0,14357.0,6288.0,14357.0,11.0,14357.0')] ).
cnf(14408,plain,
equal(and__dfg(n2,and__dfg(i1,n9)),xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,and__dfg(inv1,n19))))),
inference(rew,[status(thm),theory(equality)],[4335,14407]),
[iquote('0:Rew:4335.0,14407.0')] ).
cnf(14409,plain,
equal(and__dfg(i3,and__dfg(n24,n21)),xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,and__dfg(inv1,n19)))))))),
inference(rew,[status(thm),theory(equality)],[14408,10220]),
[iquote('0:Rew:14408.0,10220.0')] ).
cnf(14440,plain,
equal(and__dfg(i3,and__dfg(n24,n21)),and__dfg(inv1,n19)),
inference(rew,[status(thm),theory(equality)],[4,14409,546]),
[iquote('0:Rew:4.0,14409.0,4.0,14409.0,546.0,14409.0,4.0,14409.0,546.0,14409.0')] ).
cnf(14441,plain,
equal(xor__dfg(and__dfg(inv1,n19),and__dfg(n21,n19)),n0),
inference(rew,[status(thm),theory(equality)],[14440,12540]),
[iquote('0:Rew:14440.0,12540.0')] ).
cnf(14517,plain,
equal(and__dfg(n2,and__dfg(n24,n21)),and__dfg(inv1,and__dfg(inv1,n19))),
inference(spr,[status(thm),theory(equality)],[14440,4237]),
[iquote('0:SpR:14440.0,4237.0')] ).
cnf(14529,plain,
equal(and__dfg(n2,and__dfg(n24,n21)),and__dfg(inv1,n19)),
inference(rew,[status(thm),theory(equality)],[10,14517]),
[iquote('0:Rew:10.0,14517.0')] ).
cnf(14663,plain,
equal(xor__dfg(and__dfg(n21,n19),n0),and__dfg(inv1,n19)),
inference(spr,[status(thm),theory(equality)],[14441,161]),
[iquote('0:SpR:14441.0,161.0')] ).
cnf(14675,plain,
equal(and__dfg(n21,n19),and__dfg(inv1,n19)),
inference(rew,[status(thm),theory(equality)],[1,14663,14]),
[iquote('0:Rew:1.0,14663.0,14.0,14663.0')] ).
cnf(14880,plain,
equal(and__dfg(n20,u),xor__dfg(u,and__dfg(u,inv1))),
inference(spr,[status(thm),theory(equality)],[135,2303]),
[iquote('0:SpR:135.0,2303.0')] ).
cnf(14883,plain,
equal(and__dfg(not__dfg(u),v),xor__dfg(v,and__dfg(u,v))),
inference(spr,[status(thm),theory(equality)],[16,2303]),
[iquote('0:SpR:16.0,2303.0')] ).
cnf(15184,plain,
equal(and__dfg(a1,and__dfg(u,i3)),and__dfg(a1,and__dfg(u,n2))),
inference(spr,[status(thm),theory(equality)],[423,4703]),
[iquote('0:SpR:423.0,4703.0')] ).
cnf(15215,plain,
equal(and__dfg(a1,and__dfg(i3,u)),and__dfg(a1,and__dfg(n2,u))),
inference(spr,[status(thm),theory(equality)],[4237,4703]),
[iquote('0:SpR:4237.0,4703.0')] ).
cnf(15258,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,and__dfg(a1,and__dfg(n2,n9))))),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[15215,10205]),
[iquote('0:Rew:15215.0,10205.0')] ).
cnf(15275,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,xor__dfg(xor__dfg(a1,xor__dfg(n2,n11)),and__dfg(a1,and__dfg(n2,n21)))))),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[969,15258,11,2765]),
[iquote('0:Rew:969.0,15258.0,11.0,15258.0,2765.0,15258.0')] ).
cnf(15276,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n2,xor__dfg(n11,xor__dfg(n11,and__dfg(a1,and__dfg(n2,n21)))))))),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[4420,15275,8251,8268,4335]),
[iquote('0:Rew:4420.0,15275.0,8251.0,15275.0,8268.0,15275.0,4335.0,15275.0,4335.0,15275.0')] ).
cnf(15277,plain,
equal(and__dfg(a1,and__dfg(n2,n21)),and__dfg(inv1,n16)),
inference(rew,[status(thm),theory(equality)],[4,15276]),
[iquote('0:Rew:4.0,15276.0,4.0,15276.0,4.0,15276.0')] ).
cnf(15286,plain,
equal(and__dfg(a1,and__dfg(inv1,n16)),and__dfg(inv1,n16)),
inference(spr,[status(thm),theory(equality)],[15277,10]),
[iquote('0:SpR:15277.0,10.0')] ).
cnf(15302,plain,
equal(and__dfg(inv1,n16),and__dfg(a1,n16)),
inference(rew,[status(thm),theory(equality)],[4703,15286]),
[iquote('0:Rew:4703.0,15286.0')] ).
cnf(15305,plain,
equal(and__dfg(a1,and__dfg(n2,n21)),and__dfg(a1,n16)),
inference(rew,[status(thm),theory(equality)],[15302,15277]),
[iquote('0:Rew:15302.0,15277.0')] ).
cnf(15533,plain,
equal(and__dfg(inv1,and__dfg(u,n16)),and__dfg(a1,and__dfg(u,n16))),
inference(spr,[status(thm),theory(equality)],[516,4751]),
[iquote('0:SpR:516.0,4751.0')] ).
cnf(15540,plain,
equal(and__dfg(inv1,and__dfg(u,n7)),and__dfg(a1,and__dfg(u,n7))),
inference(spr,[status(thm),theory(equality)],[1422,4751]),
[iquote('0:SpR:1422.0,4751.0')] ).
cnf(15543,plain,
equal(and__dfg(inv1,and__dfg(n6,u)),and__dfg(a1,and__dfg(n6,u))),
inference(spr,[status(thm),theory(equality)],[1896,4751]),
[iquote('0:SpR:1896.0,4751.0')] ).
cnf(15608,plain,
equal(and__dfg(a1,and__dfg(u,n7)),and__dfg(n2,and__dfg(n6,u))),
inference(rew,[status(thm),theory(equality)],[15540,14354]),
[iquote('0:Rew:15540.0,14354.0')] ).
cnf(15793,plain,
equal(xor__dfg(xor__dfg(n23,and__dfg(n9,n19)),xor__dfg(n19,n23)),n19),
inference(spr,[status(thm),theory(equality)],[2792,161]),
[iquote('0:SpR:2792.0,161.0')] ).
cnf(15808,plain,
equal(xor__dfg(n19,and__dfg(n9,n19)),n19),
inference(rew,[status(thm),theory(equality)],[4,15793,564]),
[iquote('0:Rew:4.0,15793.0,564.0,15793.0')] ).
cnf(15826,plain,
equal(and__dfg(n9,n19),xor__dfg(n19,n19)),
inference(spr,[status(thm),theory(equality)],[15808,4]),
[iquote('0:SpR:15808.0,4.0')] ).
cnf(15838,plain,
equal(and__dfg(n9,n19),n0),
inference(rew,[status(thm),theory(equality)],[3,15826]),
[iquote('0:Rew:3.0,15826.0')] ).
cnf(15881,plain,
equal(and__dfg(n9,and__dfg(n19,u)),and__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[15838,436]),
[iquote('0:SpR:15838.0,436.0')] ).
cnf(15903,plain,
equal(and__dfg(n9,and__dfg(n19,u)),n0),
inference(rew,[status(thm),theory(equality)],[6,15881]),
[iquote('0:Rew:6.0,15881.0')] ).
cnf(15996,plain,
equal(and__dfg(n9,xor__dfg(n18,xor__dfg(n19,n25))),n0),
inference(spr,[status(thm),theory(equality)],[1050,15903]),
[iquote('0:SpR:1050.0,15903.0')] ).
cnf(16007,plain,
equal(xor__dfg(and__dfg(n9,n18),and__dfg(n9,n25)),n0),
inference(rew,[status(thm),theory(equality)],[1,15996,15838,11]),
[iquote('0:Rew:1.0,15996.0,15838.0,15996.0,11.0,15996.0,11.0,15996.0')] ).
cnf(16226,plain,
equal(xor__dfg(and__dfg(n9,n25),n0),and__dfg(n9,n18)),
inference(spr,[status(thm),theory(equality)],[16007,161]),
[iquote('0:SpR:16007.0,161.0')] ).
cnf(16238,plain,
equal(and__dfg(n9,n25),and__dfg(n9,n18)),
inference(rew,[status(thm),theory(equality)],[1,16226,14]),
[iquote('0:Rew:1.0,16226.0,14.0,16226.0')] ).
cnf(16318,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(n15,v))),and__dfg(u,and__dfg(n15,v))),
inference(spr,[status(thm),theory(equality)],[5466,17]),
[iquote('0:SpR:5466.0,17.0')] ).
cnf(16323,plain,
equal(and__dfg(inv1,and__dfg(n15,u)),and__dfg(a1,and__dfg(n15,u))),
inference(spr,[status(thm),theory(equality)],[5466,4751]),
[iquote('0:SpR:5466.0,4751.0')] ).
cnf(16387,plain,
equal(and__dfg(n15,and__dfg(u,n21)),and__dfg(a1,and__dfg(n15,u))),
inference(rew,[status(thm),theory(equality)],[16323,3145]),
[iquote('0:Rew:16323.0,3145.0')] ).
cnf(16399,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),and__dfg(v,and__dfg(i3,and__dfg(n15,u)))),
inference(rew,[status(thm),theory(equality)],[16318,7879]),
[iquote('0:Rew:16318.0,7879.0')] ).
cnf(16438,plain,
equal(and__dfg(n19,u),and__dfg(i3,and__dfg(i1,and__dfg(inv2,u)))),
inference(spr,[status(thm),theory(equality)],[1658,16]),
[iquote('0:SpR:1658.0,16.0')] ).
cnf(16472,plain,
equal(and__dfg(i3,and__dfg(i1,and__dfg(u,inv2))),and__dfg(u,n19)),
inference(spr,[status(thm),theory(equality)],[16,1658]),
[iquote('0:SpR:16.0,1658.0')] ).
cnf(16489,plain,
equal(and__dfg(i3,and__dfg(i1,and__dfg(inv2,n25))),xor__dfg(n18,xor__dfg(n19,n25))),
inference(rew,[status(thm),theory(equality)],[16438,1050]),
[iquote('0:Rew:16438.0,1050.0')] ).
cnf(16519,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(i1,u)),and__dfg(i3,and__dfg(i1,and__dfg(u,n9)))),and__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[11,16472,2311]),
[iquote('0:Rew:11.0,16472.0,11.0,16472.0,2311.0,16472.0')] ).
cnf(16592,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(i1,v))),and__dfg(u,and__dfg(n6,v))),
inference(spr,[status(thm),theory(equality)],[5697,17]),
[iquote('0:SpR:5697.0,17.0')] ).
cnf(16597,plain,
equal(and__dfg(a1,and__dfg(i1,u)),and__dfg(inv1,and__dfg(n6,u))),
inference(spr,[status(thm),theory(equality)],[5697,4751]),
[iquote('0:SpR:5697.0,4751.0')] ).
cnf(16666,plain,
equal(and__dfg(a1,and__dfg(i1,u)),and__dfg(a1,and__dfg(n6,u))),
inference(rew,[status(thm),theory(equality)],[15543,16597]),
[iquote('0:Rew:15543.0,16597.0')] ).
cnf(16731,plain,
equal(and__dfg(n15,and__dfg(i1,u)),and__dfg(n15,u)),
inference(spr,[status(thm),theory(equality)],[5734,16]),
[iquote('0:SpR:5734.0,16.0')] ).
cnf(17145,plain,
equal(and__dfg(a1,and__dfg(i1,u)),and__dfg(a1,and__dfg(n24,u))),
inference(spr,[status(thm),theory(equality)],[6266,4703]),
[iquote('0:SpR:6266.0,4703.0')] ).
cnf(17217,plain,
equal(and__dfg(a1,and__dfg(n6,u)),and__dfg(a1,and__dfg(n24,u))),
inference(rew,[status(thm),theory(equality)],[16666,17145]),
[iquote('0:Rew:16666.0,17145.0')] ).
cnf(17219,plain,
equal(and__dfg(inv1,and__dfg(n6,u)),and__dfg(a1,and__dfg(n24,u))),
inference(rew,[status(thm),theory(equality)],[17217,15543]),
[iquote('0:Rew:17217.0,15543.0')] ).
cnf(18579,plain,
equal(xor__dfg(n7,and__dfg(n7,inv1)),and__dfg(i3,and__dfg(n6,n20))),
inference(spr,[status(thm),theory(equality)],[2317,3175]),
[iquote('0:SpR:2317.0,3175.0')] ).
cnf(18581,plain,
equal(and__dfg(i2,xor__dfg(n15,and__dfg(n15,inv1))),xor__dfg(n15,and__dfg(n15,inv1))),
inference(spr,[status(thm),theory(equality)],[2317,5466]),
[iquote('0:SpR:2317.0,5466.0')] ).
cnf(18630,plain,
equal(xor__dfg(n2,xor__dfg(xor__dfg(a1,xor__dfg(n2,n11)),xor__dfg(xor__dfg(n24,xor__dfg(n7,n25)),and__dfg(i3,n3)))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[4,18579,546,6975,16,15,4474,564,14,6289,55,11,6357,2317]),
[iquote('0:Rew:4.0,18579.0,546.0,18579.0,6975.0,18579.0,16.0,18579.0,15.0,18579.0,4474.0,18579.0,16.0,18579.0,564.0,18579.0,546.0,18579.0,14.0,18579.0,6289.0,18579.0,55.0,18579.0,11.0,18579.0,11.0,18579.0,11.0,18579.0,14.0,18579.0,546.0,18579.0,6357.0,18579.0,16.0,18579.0,2317.0,18579.0')] ).
cnf(18631,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n2,xor__dfg(n24,xor__dfg(n7,xor__dfg(n11,xor__dfg(n25,and__dfg(i3,n3)))))))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[8268,18630,4420,4335]),
[iquote('0:Rew:8268.0,18630.0,4420.0,18630.0,8268.0,18630.0,4420.0,18630.0,8268.0,18630.0,8268.0,18630.0,4335.0,18630.0,4335.0,18630.0,4335.0,18630.0,4335.0,18630.0')] ).
cnf(18632,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n7,xor__dfg(n11,xor__dfg(n25,and__dfg(i3,n3)))))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[4,18631]),
[iquote('0:Rew:4.0,18631.0')] ).
cnf(18647,plain,
equal(xor__dfg(and__dfg(i2,n3),and__dfg(i2,n4)),xor__dfg(n3,n4)),
inference(rew,[status(thm),theory(equality)],[11,18581,1,14,3,546,6914,16]),
[iquote('0:Rew:11.0,18581.0,1.0,18581.0,14.0,18581.0,3.0,18581.0,546.0,18581.0,6914.0,18581.0,16.0,18581.0')] ).
cnf(18754,plain,
equal(and__dfg(inv2,u),xor__dfg(u,and__dfg(n9,u))),
inference(spr,[status(thm),theory(equality)],[16,13595]),
[iquote('0:SpR:16.0,13595.0')] ).
cnf(18766,plain,
equal(and__dfg(n6,xor__dfg(u,and__dfg(n9,u))),and__dfg(n15,u)),
inference(rew,[status(thm),theory(equality)],[18754,4125]),
[iquote('0:Rew:18754.0,4125.0')] ).
cnf(18798,plain,
equal(and__dfg(i3,and__dfg(i1,xor__dfg(n25,and__dfg(n9,n25)))),xor__dfg(n18,xor__dfg(n19,n25))),
inference(rew,[status(thm),theory(equality)],[18754,16489]),
[iquote('0:Rew:18754.0,16489.0')] ).
cnf(18807,plain,
equal(and__dfg(n19,u),and__dfg(i3,and__dfg(i1,xor__dfg(u,and__dfg(n9,u))))),
inference(rew,[status(thm),theory(equality)],[18754,16438]),
[iquote('0:Rew:18754.0,16438.0')] ).
cnf(18875,plain,
equal(xor__dfg(and__dfg(n6,u),and__dfg(n6,and__dfg(n9,u))),and__dfg(n15,u)),
inference(rew,[status(thm),theory(equality)],[11,18766]),
[iquote('0:Rew:11.0,18766.0')] ).
cnf(18915,plain,
equal(and__dfg(n19,u),xor__dfg(and__dfg(i3,and__dfg(i1,u)),and__dfg(i3,and__dfg(i1,and__dfg(n9,u))))),
inference(rew,[status(thm),theory(equality)],[11,18807]),
[iquote('0:Rew:11.0,18807.0,11.0,18807.0')] ).
cnf(18925,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(i1,n25)),and__dfg(i3,and__dfg(i1,and__dfg(n9,n18)))),xor__dfg(n18,xor__dfg(n19,n25))),
inference(rew,[status(thm),theory(equality)],[11,18798,16238]),
[iquote('0:Rew:11.0,18798.0,11.0,18798.0,16238.0,18798.0')] ).
cnf(18926,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,and__dfg(i3,and__dfg(i1,and__dfg(n9,n18)))))),xor__dfg(n18,xor__dfg(n19,n25))),
inference(rew,[status(thm),theory(equality)],[4335,18925,6877]),
[iquote('0:Rew:4335.0,18925.0,4335.0,18925.0,6877.0,18925.0')] ).
cnf(19174,plain,
equal(and__dfg(i3,xor__dfg(n7,and__dfg(n7,inv1))),xor__dfg(n7,and__dfg(n7,inv1))),
inference(spr,[status(thm),theory(equality)],[14880,445]),
[iquote('0:SpR:14880.0,445.0')] ).
cnf(19224,plain,
equal(and__dfg(n20,u),xor__dfg(u,and__dfg(inv1,u))),
inference(spr,[status(thm),theory(equality)],[16,14880]),
[iquote('0:SpR:16.0,14880.0')] ).
cnf(19299,plain,
equal(xor__dfg(and__dfg(i3,n3),and__dfg(i3,n8)),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[11,19174,4,546,6975,16]),
[iquote('0:Rew:11.0,19174.0,4.0,19174.0,546.0,19174.0,6975.0,19174.0,16.0,19174.0')] ).
cnf(20207,plain,
equal(and__dfg(a1,and__dfg(i3,n11)),and__dfg(inv1,xor__dfg(a1,xor__dfg(n2,n11)))),
inference(spr,[status(thm),theory(equality)],[4525,4751]),
[iquote('0:SpR:4525.0,4751.0')] ).
cnf(20214,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(i2,n11))),and__dfg(u,xor__dfg(a1,xor__dfg(n2,n11)))),
inference(spr,[status(thm),theory(equality)],[4525,405]),
[iquote('0:SpR:4525.0,405.0')] ).
cnf(20220,plain,
equal(and__dfg(a1,and__dfg(i3,n11)),xor__dfg(a1,xor__dfg(n2,and__dfg(inv1,n11)))),
inference(rew,[status(thm),theory(equality)],[379,20207,16,363,11]),
[iquote('0:Rew:379.0,20207.0,16.0,20207.0,363.0,20207.0,11.0,20207.0,11.0,20207.0')] ).
cnf(20221,plain,
equal(and__dfg(a1,and__dfg(n2,n11)),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[15215,20220,1460]),
[iquote('0:Rew:15215.0,20220.0,1460.0,20220.0')] ).
cnf(20236,plain,
equal(and__dfg(i2,and__dfg(i3,and__dfg(u,n11))),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n2),and__dfg(u,n11)))),
inference(rew,[status(thm),theory(equality)],[405,20214,11]),
[iquote('0:Rew:405.0,20214.0,11.0,20214.0,11.0,20214.0')] ).
cnf(20238,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(n9,a1),xor__dfg(and__dfg(n9,n2),and__dfg(n9,n11)))))),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[20236,4537]),
[iquote('0:Rew:20236.0,4537.0')] ).
cnf(20245,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,xor__dfg(xor__dfg(a1,and__dfg(a1,n21)),xor__dfg(xor__dfg(n2,and__dfg(n2,n21)),and__dfg(n9,n11)))))),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[2739,20238,16,2765]),
[iquote('0:Rew:2739.0,20238.0,16.0,20238.0,2765.0,20238.0,16.0,20238.0')] ).
cnf(20246,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,n21),xor__dfg(and__dfg(n2,n21),and__dfg(n9,n11)))))))),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[4420,20245,8268,4335]),
[iquote('0:Rew:4420.0,20245.0,8268.0,20245.0,4420.0,20245.0,8268.0,20245.0,4335.0,20245.0,4335.0,20245.0')] ).
cnf(20247,plain,
equal(xor__dfg(n11,xor__dfg(and__dfg(a1,n21),xor__dfg(and__dfg(n2,n21),and__dfg(n9,n11)))),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[4,20246]),
[iquote('0:Rew:4.0,20246.0,4.0,20246.0')] ).
cnf(20313,plain,
equal(and__dfg(and__dfg(n24,n21),xor__dfg(n3,xor__dfg(n4,n15))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(spr,[status(thm),theory(equality)],[6918,372]),
[iquote('0:SpR:6918.0,372.0')] ).
cnf(20340,plain,
equal(xor__dfg(n3,xor__dfg(xor__dfg(and__dfg(o3,n24),xor__dfg(and__dfg(n24,n4),xor__dfg(xor__dfg(xor__dfg(n4,n15),xor__dfg(and__dfg(n3,n24),and__dfg(n24,n4))),and__dfg(n24,n21)))),and__dfg(n3,and__dfg(n24,n21)))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[564,20313,16,546,11,1002,17,6917,6916]),
[iquote('0:Rew:564.0,20313.0,16.0,20313.0,546.0,20313.0,564.0,20313.0,16.0,20313.0,11.0,20313.0,11.0,20313.0,1002.0,20313.0,17.0,20313.0,16.0,20313.0,546.0,20313.0,16.0,20313.0,564.0,20313.0,6917.0,20313.0,11.0,20313.0,11.0,20313.0,6916.0,20313.0,17.0,20313.0,16.0,20313.0,11.0,20313.0,11.0,20313.0')] ).
cnf(20341,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n15,xor__dfg(and__dfg(o3,n24),xor__dfg(and__dfg(n3,n24),xor__dfg(and__dfg(n24,n4),xor__dfg(and__dfg(n24,n4),xor__dfg(and__dfg(n24,n21),and__dfg(n3,and__dfg(n24,n21)))))))))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[4335,20340,8268,8251,4420,8286]),
[iquote('0:Rew:4335.0,20340.0,4335.0,20340.0,4335.0,20340.0,4335.0,20340.0,4335.0,20340.0,4335.0,20340.0,8268.0,20340.0,8251.0,20340.0,4420.0,20340.0,8286.0,20340.0,4335.0,20340.0,4335.0,20340.0,4335.0,20340.0,4335.0,20340.0')] ).
cnf(20342,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n15,xor__dfg(and__dfg(o3,n24),xor__dfg(and__dfg(n3,n24),xor__dfg(and__dfg(n24,n21),and__dfg(n3,and__dfg(n24,n21)))))))),xor__dfg(n3,xor__dfg(n4,n15))),
inference(rew,[status(thm),theory(equality)],[4,20341]),
[iquote('0:Rew:4.0,20341.0')] ).
cnf(20364,plain,
equal(xor__dfg(xor__dfg(n7,n10),xor__dfg(n3,xor__dfg(n7,n8))),n24),
inference(spr,[status(thm),theory(equality)],[6974,161]),
[iquote('0:SpR:6974.0,161.0')] ).
cnf(20371,plain,
equal(xor__dfg(n7,xor__dfg(n3,xor__dfg(n7,n8))),xor__dfg(n24,n10)),
inference(spr,[status(thm),theory(equality)],[6974,541]),
[iquote('0:SpR:6974.0,541.0')] ).
cnf(20379,plain,
equal(xor__dfg(n3,xor__dfg(n8,n10)),n24),
inference(rew,[status(thm),theory(equality)],[4,20364,564]),
[iquote('0:Rew:4.0,20364.0,564.0,20364.0,564.0,20364.0,564.0,20364.0')] ).
cnf(20382,plain,
equal(xor__dfg(n24,n10),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[4,20371,546]),
[iquote('0:Rew:4.0,20371.0,546.0,20371.0')] ).
cnf(20626,plain,
equal(xor__dfg(n8,n24),xor__dfg(n3,n10)),
inference(spr,[status(thm),theory(equality)],[20379,541]),
[iquote('0:SpR:20379.0,541.0')] ).
cnf(20642,plain,
equal(xor__dfg(n24,n8),xor__dfg(n3,n10)),
inference(rew,[status(thm),theory(equality)],[14,20626]),
[iquote('0:Rew:14.0,20626.0')] ).
cnf(20666,plain,
equal(xor__dfg(n24,xor__dfg(u,n10)),xor__dfg(u,xor__dfg(n3,n8))),
inference(spr,[status(thm),theory(equality)],[20382,15]),
[iquote('0:SpR:20382.0,15.0')] ).
cnf(20674,plain,
equal(xor__dfg(n10,xor__dfg(u,xor__dfg(n3,n8))),xor__dfg(u,n24)),
inference(spr,[status(thm),theory(equality)],[20382,569]),
[iquote('0:SpR:20382.0,569.0')] ).
cnf(20682,plain,
equal(xor__dfg(n3,xor__dfg(n8,xor__dfg(n10,u))),xor__dfg(u,n24)),
inference(rew,[status(thm),theory(equality)],[564,20674,546]),
[iquote('0:Rew:564.0,20674.0,546.0,20674.0')] ).
cnf(20691,plain,
equal(xor__dfg(n24,xor__dfg(u,xor__dfg(n3,n10))),xor__dfg(u,n8)),
inference(spr,[status(thm),theory(equality)],[20642,541]),
[iquote('0:SpR:20642.0,541.0')] ).
cnf(20703,plain,
equal(xor__dfg(n3,xor__dfg(n24,xor__dfg(u,n10))),xor__dfg(u,n8)),
inference(rew,[status(thm),theory(equality)],[546,20691]),
[iquote('0:Rew:546.0,20691.0')] ).
cnf(20858,plain,
equal(and__dfg(xor__dfg(a1,xor__dfg(n2,n11)),u),and__dfg(inv1,and__dfg(n14,u))),
inference(spr,[status(thm),theory(equality)],[4475,3038]),
[iquote('0:SpR:4475.0,3038.0')] ).
cnf(20859,plain,
equal(and__dfg(xor__dfg(n2,xor__dfg(n24,n25)),u),and__dfg(inv1,and__dfg(n23,u))),
inference(spr,[status(thm),theory(equality)],[6288,3038]),
[iquote('0:SpR:6288.0,3038.0')] ).
cnf(20860,plain,
equal(and__dfg(xor__dfg(n3,xor__dfg(n4,n15)),u),and__dfg(inv1,and__dfg(n15,u))),
inference(spr,[status(thm),theory(equality)],[6914,3038]),
[iquote('0:SpR:6914.0,3038.0')] ).
cnf(20861,plain,
equal(and__dfg(xor__dfg(n3,xor__dfg(n7,n8)),u),and__dfg(inv1,and__dfg(n7,u))),
inference(spr,[status(thm),theory(equality)],[6975,3038]),
[iquote('0:SpR:6975.0,3038.0')] ).
cnf(20866,plain,
equal(and__dfg(xor__dfg(a1,xor__dfg(n3,n24)),u),and__dfg(inv1,and__dfg(n6,u))),
inference(spr,[status(thm),theory(equality)],[6357,3038]),
[iquote('0:SpR:6357.0,3038.0')] ).
cnf(20868,plain,
equal(and__dfg(xor__dfg(a1,xor__dfg(n3,n24)),u),and__dfg(n3,and__dfg(n6,u))),
inference(spr,[status(thm),theory(equality)],[6930,3038]),
[iquote('0:SpR:6930.0,3038.0')] ).
cnf(20871,plain,
equal(and__dfg(and__dfg(i2,n19),u),and__dfg(n15,and__dfg(n19,u))),
inference(spr,[status(thm),theory(equality)],[5477,3038]),
[iquote('0:SpR:5477.0,3038.0')] ).
cnf(20913,plain,
equal(and__dfg(xor__dfg(a1,xor__dfg(n2,n11)),u),and__dfg(i2,and__dfg(n2,u))),
inference(spr,[status(thm),theory(equality)],[4476,3038]),
[iquote('0:SpR:4476.0,3038.0')] ).
cnf(20924,plain,
equal(and__dfg(xor__dfg(n3,xor__dfg(n7,n8)),u),and__dfg(a1,and__dfg(n23,u))),
inference(spr,[status(thm),theory(equality)],[6976,3038]),
[iquote('0:SpR:6976.0,3038.0')] ).
cnf(20933,plain,
equal(and__dfg(xor__dfg(n2,xor__dfg(n24,n25)),u),and__dfg(i3,and__dfg(n24,u))),
inference(spr,[status(thm),theory(equality)],[6289,3038]),
[iquote('0:SpR:6289.0,3038.0')] ).
cnf(20938,plain,
equal(and__dfg(xor__dfg(n2,xor__dfg(n24,n25)),u),and__dfg(n2,and__dfg(n24,u))),
inference(spr,[status(thm),theory(equality)],[1080,3038]),
[iquote('0:SpR:1080.0,3038.0')] ).
cnf(20940,plain,
equal(and__dfg(xor__dfg(n2,xor__dfg(n24,n25)),u),and__dfg(n2,and__dfg(i1,u))),
inference(spr,[status(thm),theory(equality)],[5411,3038]),
[iquote('0:SpR:5411.0,3038.0')] ).
cnf(21021,plain,
equal(and__dfg(xor__dfg(n15,n6),u),and__dfg(n6,and__dfg(n9,u))),
inference(spr,[status(thm),theory(equality)],[2418,3038]),
[iquote('0:SpR:2418.0,3038.0')] ).
cnf(21061,plain,
equal(and__dfg(n15,and__dfg(n19,u)),and__dfg(i2,and__dfg(n19,u))),
inference(rew,[status(thm),theory(equality)],[3038,20871]),
[iquote('0:Rew:3038.0,20871.0')] ).
cnf(21062,plain,
equal(and__dfg(n15,xor__dfg(and__dfg(i3,and__dfg(i1,u)),and__dfg(i3,and__dfg(i1,and__dfg(n9,u))))),and__dfg(i2,xor__dfg(and__dfg(i3,and__dfg(i1,u)),and__dfg(i3,and__dfg(i1,and__dfg(n9,u)))))),
inference(rew,[status(thm),theory(equality)],[18915,21061]),
[iquote('0:Rew:18915.0,21061.0')] ).
cnf(21063,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,and__dfg(i1,u))),and__dfg(i2,and__dfg(i3,and__dfg(i1,and__dfg(n9,u))))),and__dfg(i3,and__dfg(n15,u))),
inference(rew,[status(thm),theory(equality)],[1,21062,14,16731,17,5,16,2525,11]),
[iquote('0:Rew:1.0,21062.0,14.0,21062.0,16731.0,21062.0,17.0,21062.0,5.0,21062.0,16.0,21062.0,2525.0,21062.0,16731.0,21062.0,17.0,21062.0,11.0,21062.0,11.0,21062.0')] ).
cnf(21064,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(n6,u)),and__dfg(i3,and__dfg(n6,and__dfg(n9,u)))),and__dfg(i3,and__dfg(n15,u))),
inference(rew,[status(thm),theory(equality)],[16592,21063]),
[iquote('0:Rew:16592.0,21063.0,16592.0,21063.0')] ).
cnf(21138,plain,
equal(and__dfg(xor__dfg(a1,xor__dfg(n2,n11)),u),and__dfg(a1,and__dfg(i3,u))),
inference(rew,[status(thm),theory(equality)],[4751,20858,3162]),
[iquote('0:Rew:4751.0,20858.0,3162.0,20858.0')] ).
cnf(21139,plain,
equal(and__dfg(xor__dfg(a1,xor__dfg(n2,n11)),u),and__dfg(a1,and__dfg(n2,u))),
inference(rew,[status(thm),theory(equality)],[15215,21138]),
[iquote('0:Rew:15215.0,21138.0')] ).
cnf(21141,plain,
equal(and__dfg(xor__dfg(n2,xor__dfg(n24,n25)),u),and__dfg(n2,and__dfg(i1,u))),
inference(rew,[status(thm),theory(equality)],[4237,20859,3185]),
[iquote('0:Rew:4237.0,20859.0,3185.0,20859.0')] ).
cnf(21143,plain,
equal(and__dfg(xor__dfg(n3,xor__dfg(n4,n15)),u),and__dfg(a1,and__dfg(n15,u))),
inference(rew,[status(thm),theory(equality)],[16323,20860]),
[iquote('0:Rew:16323.0,20860.0')] ).
cnf(21144,plain,
equal(and__dfg(xor__dfg(n3,xor__dfg(n7,n8)),u),and__dfg(n2,and__dfg(n6,u))),
inference(rew,[status(thm),theory(equality)],[4237,20861,3175]),
[iquote('0:Rew:4237.0,20861.0,3175.0,20861.0')] ).
cnf(21146,plain,
equal(and__dfg(xor__dfg(a1,xor__dfg(n3,n24)),u),and__dfg(a1,and__dfg(n24,u))),
inference(rew,[status(thm),theory(equality)],[17219,20866]),
[iquote('0:Rew:17219.0,20866.0')] ).
cnf(21149,plain,
equal(and__dfg(n3,and__dfg(n6,u)),and__dfg(a1,and__dfg(n24,u))),
inference(rew,[status(thm),theory(equality)],[21146,20868]),
[iquote('0:Rew:21146.0,20868.0')] ).
cnf(21167,plain,
equal(and__dfg(i2,and__dfg(n2,u)),and__dfg(a1,and__dfg(n2,u))),
inference(rew,[status(thm),theory(equality)],[21139,20913]),
[iquote('0:Rew:21139.0,20913.0')] ).
cnf(21182,plain,
equal(and__dfg(xor__dfg(n3,xor__dfg(n7,n8)),u),and__dfg(a1,and__dfg(i3,and__dfg(i1,u)))),
inference(rew,[status(thm),theory(equality)],[3185,20924]),
[iquote('0:Rew:3185.0,20924.0')] ).
cnf(21183,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(i1,u))),and__dfg(n2,and__dfg(n6,u))),
inference(rew,[status(thm),theory(equality)],[21144,21182,15215]),
[iquote('0:Rew:21144.0,21182.0,15215.0,21182.0')] ).
cnf(21192,plain,
equal(and__dfg(n2,and__dfg(i1,u)),and__dfg(i3,and__dfg(n24,u))),
inference(rew,[status(thm),theory(equality)],[21141,20933]),
[iquote('0:Rew:21141.0,20933.0')] ).
cnf(21199,plain,
equal(and__dfg(n2,and__dfg(n6,u)),and__dfg(a1,and__dfg(i3,and__dfg(n24,u)))),
inference(rew,[status(thm),theory(equality)],[21192,21183]),
[iquote('0:Rew:21192.0,21183.0')] ).
cnf(21206,plain,
equal(and__dfg(i3,and__dfg(n24,u)),and__dfg(n2,and__dfg(n24,u))),
inference(rew,[status(thm),theory(equality)],[20938,20940,21192]),
[iquote('0:Rew:20938.0,20940.0,21192.0,20940.0')] ).
cnf(21212,plain,
equal(and__dfg(n2,and__dfg(i1,u)),and__dfg(n2,and__dfg(n24,u))),
inference(rew,[status(thm),theory(equality)],[21206,21192]),
[iquote('0:Rew:21206.0,21192.0')] ).
cnf(21318,plain,
equal(and__dfg(n2,and__dfg(n6,u)),and__dfg(a1,and__dfg(n2,and__dfg(n24,u)))),
inference(rew,[status(thm),theory(equality)],[21206,21199]),
[iquote('0:Rew:21206.0,21199.0')] ).
cnf(21320,plain,
equal(and__dfg(a1,and__dfg(u,n7)),and__dfg(a1,and__dfg(n2,and__dfg(n24,u)))),
inference(rew,[status(thm),theory(equality)],[21318,15608]),
[iquote('0:Rew:21318.0,15608.0')] ).
cnf(21747,plain,
equal(and__dfg(i2,n4),xor__dfg(and__dfg(i2,n3),xor__dfg(n3,n4))),
inference(spr,[status(thm),theory(equality)],[18647,4]),
[iquote('0:SpR:18647.0,4.0')] ).
cnf(21760,plain,
equal(and__dfg(i2,n4),xor__dfg(n3,xor__dfg(n4,and__dfg(i2,n3)))),
inference(rew,[status(thm),theory(equality)],[564,21747]),
[iquote('0:Rew:564.0,21747.0')] ).
cnf(21787,plain,
equal(and__dfg(i3,n8),xor__dfg(and__dfg(i3,n3),xor__dfg(n3,n8))),
inference(spr,[status(thm),theory(equality)],[19299,4]),
[iquote('0:SpR:19299.0,4.0')] ).
cnf(21800,plain,
equal(and__dfg(i3,n8),xor__dfg(n3,xor__dfg(n8,and__dfg(i3,n3)))),
inference(rew,[status(thm),theory(equality)],[564,21787]),
[iquote('0:Rew:564.0,21787.0')] ).
cnf(23320,plain,
equal(and__dfg(n2,and__dfg(u,and__dfg(a1,n11))),and__dfg(u,xor__dfg(a1,xor__dfg(n2,n11)))),
inference(spr,[status(thm),theory(equality)],[20221,405]),
[iquote('0:SpR:20221.0,405.0')] ).
cnf(23341,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(u,n11))),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n2),and__dfg(u,n11)))),
inference(rew,[status(thm),theory(equality)],[405,23320,11]),
[iquote('0:Rew:405.0,23320.0,11.0,23320.0,11.0,23320.0')] ).
cnf(23643,plain,
equal(and__dfg(i2,and__dfg(u,n4)),and__dfg(u,xor__dfg(n3,xor__dfg(n4,and__dfg(i2,n3))))),
inference(spr,[status(thm),theory(equality)],[21760,17]),
[iquote('0:SpR:21760.0,17.0')] ).
cnf(23646,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n4))),and__dfg(u,and__dfg(v,xor__dfg(n3,xor__dfg(n4,and__dfg(i2,n3)))))),
inference(spr,[status(thm),theory(equality)],[21760,405]),
[iquote('0:SpR:21760.0,405.0')] ).
cnf(23661,plain,
equal(and__dfg(i2,and__dfg(u,n4)),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,and__dfg(i2,n3))))),
inference(rew,[status(thm),theory(equality)],[11,23643]),
[iquote('0:Rew:11.0,23643.0,11.0,23643.0')] ).
cnf(23667,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n4))),xor__dfg(and__dfg(u,and__dfg(v,n3)),xor__dfg(and__dfg(u,and__dfg(v,n4)),and__dfg(u,and__dfg(v,and__dfg(i2,n3)))))),
inference(rew,[status(thm),theory(equality)],[11,23646]),
[iquote('0:Rew:11.0,23646.0,11.0,23646.0,11.0,23646.0,11.0,23646.0')] ).
cnf(23685,plain,
equal(and__dfg(inv1,xor__dfg(n3,xor__dfg(n8,and__dfg(i3,n3)))),and__dfg(n2,n8)),
inference(spr,[status(thm),theory(equality)],[21800,4237]),
[iquote('0:SpR:21800.0,4237.0')] ).
cnf(23694,plain,
equal(xor__dfg(and__dfg(inv1,n3),xor__dfg(and__dfg(inv1,n8),and__dfg(n2,n3))),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[4237,23685,11,940]),
[iquote('0:Rew:4237.0,23685.0,11.0,23685.0,11.0,23685.0,940.0,23685.0')] ).
cnf(23808,plain,
equal(and__dfg(i3,and__dfg(n20,n15)),xor__dfg(and__dfg(i2,n19),and__dfg(inv1,and__dfg(i2,n19)))),
inference(spr,[status(thm),theory(equality)],[1605,19224]),
[iquote('0:SpR:1605.0,19224.0')] ).
cnf(23940,plain,
equal(xor__dfg(and__dfg(i3,n3),and__dfg(i3,n4)),xor__dfg(and__dfg(a1,n19),and__dfg(i2,n19))),
inference(rew,[status(thm),theory(equality)],[11,23808,569,6914,16,2317,14,4751]),
[iquote('0:Rew:11.0,23808.0,569.0,23808.0,6914.0,23808.0,16.0,23808.0,2317.0,23808.0,16.0,23808.0,14.0,23808.0,4751.0,23808.0')] ).
cnf(24021,plain,
equal(xor__dfg(u,xor__dfg(v,xor__dfg(w,xor__dfg(x,y)))),xor__dfg(v,xor__dfg(y,xor__dfg(u,xor__dfg(x,w))))),
inference(spr,[status(thm),theory(equality)],[4387,546]),
[iquote('0:SpR:4387.0,546.0')] ).
cnf(24365,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(n6,n21)),and__dfg(and__dfg(a1,n21),n6)),n0),
inference(spr,[status(thm),theory(equality)],[2299,6803]),
[iquote('0:SpR:2299.0,6803.0')] ).
cnf(24468,plain,
equal(xor__dfg(and__dfg(a1,n3),and__dfg(a1,n4)),n0),
inference(rew,[status(thm),theory(equality)],[4,24365,546,4335,1,14,3,564,21760,1479,11,6915,16,15,4387,6913,3038]),
[iquote('0:Rew:4.0,24365.0,4.0,24365.0,546.0,24365.0,4.0,24365.0,546.0,24365.0,4335.0,24365.0,4335.0,24365.0,1.0,24365.0,14.0,24365.0,3.0,24365.0,564.0,24365.0,546.0,24365.0,14.0,24365.0,4335.0,24365.0,4335.0,24365.0,21760.0,24365.0,1479.0,24365.0,11.0,24365.0,11.0,24365.0,6915.0,24365.0,16.0,24365.0,15.0,24365.0,546.0,24365.0,15.0,24365.0,15.0,24365.0,4335.0,24365.0,4387.0,24365.0,6913.0,24365.0,11.0,24365.0,11.0,24365.0,6915.0,24365.0,3038.0,24365.0')] ).
cnf(24555,plain,
equal(xor__dfg(and__dfg(a1,n4),n0),and__dfg(a1,n3)),
inference(spr,[status(thm),theory(equality)],[24468,161]),
[iquote('0:SpR:24468.0,161.0')] ).
cnf(24571,plain,
equal(and__dfg(a1,n4),and__dfg(a1,n3)),
inference(rew,[status(thm),theory(equality)],[1,24555,14]),
[iquote('0:Rew:1.0,24555.0,14.0,24555.0')] ).
cnf(24668,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(n6,n21)),and__dfg(and__dfg(n2,n21),n6)),n0),
inference(spr,[status(thm),theory(equality)],[2374,6803]),
[iquote('0:SpR:2374.0,6803.0')] ).
cnf(24772,plain,
equal(xor__dfg(and__dfg(a1,n19),xor__dfg(and__dfg(i2,n19),xor__dfg(and__dfg(n2,n3),xor__dfg(and__dfg(n2,n4),xor__dfg(and__dfg(i3,n3),and__dfg(i3,n4)))))),n0),
inference(rew,[status(thm),theory(equality)],[15,24668,546,4335,4387,14,1566,11,6915,16,14382,3038]),
[iquote('0:Rew:15.0,24668.0,15.0,24668.0,546.0,24668.0,15.0,24668.0,15.0,24668.0,4335.0,24668.0,4387.0,24668.0,4335.0,24668.0,4335.0,24668.0,15.0,24668.0,14.0,24668.0,1566.0,24668.0,11.0,24668.0,11.0,24668.0,6915.0,24668.0,16.0,24668.0,15.0,24668.0,14.0,24668.0,14382.0,24668.0,11.0,24668.0,11.0,24668.0,6915.0,24668.0,3038.0,24668.0')] ).
cnf(24773,plain,
equal(xor__dfg(and__dfg(a1,n19),xor__dfg(and__dfg(a1,n19),xor__dfg(and__dfg(i2,n19),xor__dfg(and__dfg(i2,n19),xor__dfg(and__dfg(n2,n3),and__dfg(n2,n4)))))),n0),
inference(rew,[status(thm),theory(equality)],[4420,24772,8325,23940]),
[iquote('0:Rew:4420.0,24772.0,8325.0,24772.0,23940.0,24772.0')] ).
cnf(24774,plain,
equal(xor__dfg(and__dfg(n2,n3),and__dfg(n2,n4)),n0),
inference(rew,[status(thm),theory(equality)],[4,24773]),
[iquote('0:Rew:4.0,24773.0,4.0,24773.0')] ).
cnf(24868,plain,
equal(xor__dfg(and__dfg(u,v),and__dfg(v,u)),xor__dfg(u,u)),
inference(spr,[status(thm),theory(equality)],[8996,4]),
[iquote('0:SpR:8996.0,4.0')] ).
cnf(25365,plain,
equal(xor__dfg(and__dfg(u,v),and__dfg(v,u)),n0),
inference(rew,[status(thm),theory(equality)],[3,24868]),
[iquote('0:Rew:3.0,24868.0')] ).
cnf(25784,plain,
equal(xor__dfg(and__dfg(n2,n4),n0),and__dfg(n2,n3)),
inference(spr,[status(thm),theory(equality)],[24774,161]),
[iquote('0:SpR:24774.0,161.0')] ).
cnf(25800,plain,
equal(and__dfg(n2,n4),and__dfg(n2,n3)),
inference(rew,[status(thm),theory(equality)],[1,25784,14]),
[iquote('0:Rew:1.0,25784.0,14.0,25784.0')] ).
cnf(25834,plain,
equal(and__dfg(and__dfg(n2,n3),u),and__dfg(n2,and__dfg(n4,u))),
inference(spr,[status(thm),theory(equality)],[25800,3038]),
[iquote('0:SpR:25800.0,3038.0')] ).
cnf(25850,plain,
equal(and__dfg(n2,and__dfg(n4,u)),and__dfg(n2,and__dfg(n3,u))),
inference(rew,[status(thm),theory(equality)],[3038,25834]),
[iquote('0:Rew:3038.0,25834.0')] ).
cnf(25859,plain,
equal(xor__dfg(and__dfg(u,v),xor__dfg(and__dfg(v,u),w)),xor__dfg(w,n0)),
inference(spr,[status(thm),theory(equality)],[25365,4387]),
[iquote('0:SpR:25365.0,4387.0')] ).
cnf(25868,plain,
equal(xor__dfg(and__dfg(u,v),xor__dfg(w,n0)),xor__dfg(w,and__dfg(v,u))),
inference(spr,[status(thm),theory(equality)],[25365,541]),
[iquote('0:SpR:25365.0,541.0')] ).
cnf(26624,plain,
equal(xor__dfg(and__dfg(u,v),xor__dfg(and__dfg(v,u),w)),w),
inference(rew,[status(thm),theory(equality)],[2,25859]),
[iquote('0:Rew:2.0,25859.0')] ).
cnf(26631,plain,
equal(xor__dfg(and__dfg(u,v),w),xor__dfg(w,and__dfg(v,u))),
inference(rew,[status(thm),theory(equality)],[2,25868]),
[iquote('0:Rew:2.0,25868.0')] ).
cnf(26636,plain,
equal(xor__dfg(and__dfg(a1,and__dfg(n24,u)),xor__dfg(and__dfg(n24,u),and__dfg(n3,and__dfg(n24,u)))),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),and__dfg(u,n24)))),
inference(rew,[status(thm),theory(equality)],[26631,7230]),
[iquote('0:Rew:26631.0,7230.0')] ).
cnf(26728,plain,
equal(xor__dfg(and__dfg(n24,u),xor__dfg(and__dfg(a1,and__dfg(n24,u)),and__dfg(n3,and__dfg(n24,u)))),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),and__dfg(u,n24)))),
inference(rew,[status(thm),theory(equality)],[15,26636]),
[iquote('0:Rew:15.0,26636.0')] ).
cnf(26824,plain,
equal(and__dfg(n9,xor__dfg(o1,xor__dfg(n21,n12))),and__dfg(n21,and__dfg(n9,n11))),
inference(spr,[status(thm),theory(equality)],[1018,2815]),
[iquote('0:SpR:1018.0,2815.0')] ).
cnf(26870,plain,
equal(xor__dfg(and__dfg(o1,n9),and__dfg(n9,n11)),n0),
inference(rew,[status(thm),theory(equality)],[16,26824,1,2465,2802,11,2598]),
[iquote('0:Rew:16.0,26824.0,1.0,26824.0,2465.0,26824.0,16.0,26824.0,2802.0,26824.0,11.0,26824.0,11.0,26824.0,2598.0,26824.0')] ).
cnf(27070,plain,
equal(xor__dfg(and__dfg(n9,n11),n0),and__dfg(o1,n9)),
inference(spr,[status(thm),theory(equality)],[26870,161]),
[iquote('0:SpR:26870.0,161.0')] ).
cnf(27086,plain,
equal(and__dfg(n9,n11),and__dfg(o1,n9)),
inference(rew,[status(thm),theory(equality)],[1,27070,14]),
[iquote('0:Rew:1.0,27070.0,14.0,27070.0')] ).
cnf(27087,plain,
equal(and__dfg(n9,n12),and__dfg(o1,n9)),
inference(rew,[status(thm),theory(equality)],[27086,2802]),
[iquote('0:Rew:27086.0,2802.0')] ).
cnf(27092,plain,
equal(xor__dfg(n11,xor__dfg(and__dfg(a1,n21),xor__dfg(and__dfg(n2,n21),and__dfg(o1,n9)))),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[27086,20247]),
[iquote('0:Rew:27086.0,20247.0')] ).
cnf(27125,plain,
equal(xor__dfg(n11,xor__dfg(and__dfg(o1,n9),xor__dfg(and__dfg(a1,n21),and__dfg(n2,n21)))),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[15,27092,14]),
[iquote('0:Rew:15.0,27092.0,14.0,27092.0')] ).
cnf(27330,plain,
equal(and__dfg(a1,and__dfg(u,n9)),and__dfg(a1,xor__dfg(and__dfg(u,inv1),and__dfg(u,n21)))),
inference(spr,[status(thm),theory(equality)],[2512,4703]),
[iquote('0:SpR:2512.0,4703.0')] ).
cnf(27418,plain,
equal(and__dfg(a1,and__dfg(u,n9)),xor__dfg(and__dfg(u,a1),and__dfg(a1,and__dfg(u,n21)))),
inference(rew,[status(thm),theory(equality)],[444,27330,11]),
[iquote('0:Rew:444.0,27330.0,11.0,27330.0')] ).
cnf(29193,plain,
equal(and__dfg(a1,and__dfg(and__dfg(u,v),n2)),and__dfg(a1,and__dfg(u,and__dfg(v,i3)))),
inference(spr,[status(thm),theory(equality)],[3038,15184]),
[iquote('0:SpR:3038.0,15184.0')] ).
cnf(29239,plain,
equal(and__dfg(a1,and__dfg(u,and__dfg(v,i3))),and__dfg(a1,and__dfg(u,and__dfg(v,n2)))),
inference(rew,[status(thm),theory(equality)],[3038,29193]),
[iquote('0:Rew:3038.0,29193.0')] ).
cnf(29317,plain,
equal(and__dfg(a1,xor__dfg(n3,xor__dfg(n8,and__dfg(i3,n3)))),and__dfg(a1,and__dfg(n2,n8))),
inference(spr,[status(thm),theory(equality)],[21800,15215]),
[iquote('0:SpR:21800.0,15215.0')] ).
cnf(29330,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(i1,n9))),and__dfg(a1,xor__dfg(n19,n23))),
inference(spr,[status(thm),theory(equality)],[2648,15215]),
[iquote('0:SpR:2648.0,15215.0')] ).
cnf(29383,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(i1,n9))),xor__dfg(n3,xor__dfg(n7,xor__dfg(n8,and__dfg(a1,n19))))),
inference(rew,[status(thm),theory(equality)],[15,29330,4335,4387,6976,11]),
[iquote('0:Rew:15.0,29330.0,15.0,29330.0,4335.0,29330.0,4387.0,29330.0,6976.0,29330.0,11.0,29330.0')] ).
cnf(29384,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(n24,n9))),xor__dfg(n3,xor__dfg(n7,xor__dfg(n8,and__dfg(a1,n19))))),
inference(rew,[status(thm),theory(equality)],[21212,29383]),
[iquote('0:Rew:21212.0,29383.0')] ).
cnf(29385,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,xor__dfg(and__dfg(a1,n19),and__dfg(a1,n25)))))),xor__dfg(n3,xor__dfg(n7,xor__dfg(n8,and__dfg(a1,n19))))),
inference(rew,[status(thm),theory(equality)],[4,29384,15,546,4335,969,325,14,4703,11,1080,14529,2752]),
[iquote('0:Rew:4.0,29384.0,15.0,29384.0,15.0,29384.0,546.0,29384.0,4335.0,29384.0,4335.0,29384.0,969.0,29384.0,4335.0,29384.0,4335.0,29384.0,325.0,29384.0,14.0,29384.0,4703.0,29384.0,11.0,29384.0,11.0,29384.0,11.0,29384.0,4335.0,29384.0,4335.0,29384.0,1080.0,29384.0,14529.0,29384.0,11.0,29384.0,2752.0,29384.0')] ).
cnf(29404,plain,
equal(xor__dfg(and__dfg(a1,n3),xor__dfg(and__dfg(a1,n8),and__dfg(a1,and__dfg(n2,n3)))),xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,n21),and__dfg(a1,n8))))),
inference(rew,[status(thm),theory(equality)],[15215,29317,11,4,15,4335,969,4387,2739,940]),
[iquote('0:Rew:15215.0,29317.0,11.0,29317.0,11.0,29317.0,4.0,29317.0,15.0,29317.0,15.0,29317.0,4335.0,29317.0,4335.0,29317.0,969.0,29317.0,15.0,29317.0,4387.0,29317.0,2739.0,29317.0,11.0,29317.0,11.0,29317.0,940.0,29317.0')] ).
cnf(29457,plain,
equal(and__dfg(a1,and__dfg(n24,n16)),and__dfg(n24,n16)),
inference(spr,[status(thm),theory(equality)],[15533,2127]),
[iquote('0:SpR:15533.0,2127.0')] ).
cnf(29460,plain,
equal(and__dfg(a1,and__dfg(i1,n16)),and__dfg(n24,n16)),
inference(spr,[status(thm),theory(equality)],[15533,6266]),
[iquote('0:SpR:15533.0,6266.0')] ).
cnf(29492,plain,
equal(and__dfg(a1,xor__dfg(xor__dfg(and__dfg(i3,a1),xor__dfg(and__dfg(i3,n3),and__dfg(i3,n24))),and__dfg(a1,and__dfg(n2,and__dfg(n24,n9))))),xor__dfg(xor__dfg(and__dfg(i3,a1),xor__dfg(and__dfg(i3,n3),and__dfg(i3,n24))),and__dfg(a1,and__dfg(n2,and__dfg(n24,n9))))),
inference(rew,[status(thm),theory(equality)],[6384,29457,21167,21206,9446]),
[iquote('0:Rew:6384.0,29457.0,21167.0,29457.0,21206.0,29457.0,9446.0,29457.0')] ).
cnf(29493,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,xor__dfg(n25,xor__dfg(and__dfg(a1,n19),xor__dfg(and__dfg(a1,n25),and__dfg(i3,n3))))))),xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,n3),xor__dfg(and__dfg(a1,n19),and__dfg(a1,and__dfg(n2,n3))))))),
inference(rew,[status(thm),theory(equality)],[4,29492,9,4335,969,546,10,15215,11,15,4387,4474,16,6289,325,14,4703,1080,14529,2752]),
[iquote('0:Rew:4.0,29492.0,9.0,29492.0,4335.0,29492.0,4335.0,29492.0,969.0,29492.0,4.0,29492.0,546.0,29492.0,10.0,29492.0,10.0,29492.0,15215.0,29492.0,11.0,29492.0,11.0,29492.0,11.0,29492.0,11.0,29492.0,11.0,29492.0,11.0,29492.0,4.0,29492.0,546.0,29492.0,4.0,29492.0,546.0,29492.0,546.0,29492.0,546.0,29492.0,546.0,29492.0,15.0,29492.0,15.0,29492.0,15.0,29492.0,15.0,29492.0,15.0,29492.0,4335.0,29492.0,4335.0,29492.0,4335.0,29492.0,4335.0,29492.0,4387.0,29492.0,4335.0,29492.0,4335.0,29492.0,4335.0,29492.0,4335.0,29492.0,4.0,29492.0,546.0,29492.0,4335.0,29492.0,4335.0,29492.0,4474.0,29492.0,16.0,29492.0,15.0,29492.0,15.0,29492.0,4335.0,29492.0,4387.0,29492.0,6289.0,29492.0,4.0,29492.0,15.0,29492.0,15.0,29492.0,546.0,29492.0,4335.0,29492.0,4335.0,29492.0,969.0,29492.0,4335.0,29492.0,4335.0,29492.0,325.0,29492.0,14.0,29492.0,4703.0,29492.0,11.0,29492.0,11.0,29492.0,11.0,29492.0,4335.0,29492.0,4335.0,29492.0,1080.0,29492.0,14529.0,29492.0,11.0,29492.0,2752.0,29492.0')] ).
cnf(29495,plain,
equal(and__dfg(a1,xor__dfg(and__dfg(i2,and__dfg(i3,i1)),and__dfg(i3,and__dfg(n6,n9)))),xor__dfg(xor__dfg(and__dfg(i3,a1),xor__dfg(and__dfg(i3,n3),and__dfg(i3,n24))),and__dfg(a1,and__dfg(n2,and__dfg(n24,n9))))),
inference(rew,[status(thm),theory(equality)],[16592,29460,9446,6384,21167,21206]),
[iquote('0:Rew:16592.0,29460.0,9446.0,29460.0,6384.0,29460.0,21167.0,29460.0,21206.0,29460.0,9446.0,29460.0')] ).
cnf(29496,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,xor__dfg(n25,xor__dfg(and__dfg(a1,n19),xor__dfg(and__dfg(a1,n25),and__dfg(i3,n3))))))),and__dfg(a1,n19)),
inference(rew,[status(thm),theory(equality)],[13705,29495,4,1551,59,14,1566,55,11,2418,546,15,4335,4387,4474,16,6289,969,325,4703,1080,14529,2752]),
[iquote('0:Rew:13705.0,29495.0,4.0,29495.0,1551.0,29495.0,59.0,29495.0,14.0,29495.0,1566.0,29495.0,55.0,29495.0,11.0,29495.0,2418.0,29495.0,4.0,29495.0,546.0,29495.0,4.0,29495.0,546.0,29495.0,546.0,29495.0,546.0,29495.0,546.0,29495.0,15.0,29495.0,15.0,29495.0,15.0,29495.0,15.0,29495.0,15.0,29495.0,4335.0,29495.0,4335.0,29495.0,4335.0,29495.0,4335.0,29495.0,4387.0,29495.0,4335.0,29495.0,4335.0,29495.0,4335.0,29495.0,4335.0,29495.0,4.0,29495.0,546.0,29495.0,4335.0,29495.0,4335.0,29495.0,4474.0,29495.0,16.0,29495.0,15.0,29495.0,15.0,29495.0,4335.0,29495.0,4387.0,29495.0,6289.0,29495.0,4.0,29495.0,15.0,29495.0,15.0,29495.0,546.0,29495.0,4335.0,29495.0,4335.0,29495.0,969.0,29495.0,4335.0,29495.0,4335.0,29495.0,325.0,29495.0,14.0,29495.0,4703.0,29495.0,11.0,29495.0,11.0,29495.0,11.0,29495.0,4335.0,29495.0,4335.0,29495.0,1080.0,29495.0,14529.0,29495.0,11.0,29495.0,2752.0,29495.0')] ).
cnf(29497,plain,
equal(xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,n3),xor__dfg(and__dfg(a1,n19),and__dfg(a1,and__dfg(n2,n3)))))),and__dfg(a1,n19)),
inference(rew,[status(thm),theory(equality)],[29493,29496]),
[iquote('0:Rew:29493.0,29496.0')] ).
cnf(29635,plain,
equal(and__dfg(inv1,xor__dfg(n7,and__dfg(inv1,n7))),and__dfg(a1,xor__dfg(n7,and__dfg(inv1,n7)))),
inference(spr,[status(thm),theory(equality)],[19224,15540]),
[iquote('0:SpR:19224.0,15540.0')] ).
cnf(29700,plain,
equal(xor__dfg(and__dfg(inv1,n3),and__dfg(inv1,n8)),xor__dfg(and__dfg(a1,n3),and__dfg(a1,n8))),
inference(rew,[status(thm),theory(equality)],[11,29635,4,546,6975]),
[iquote('0:Rew:11.0,29635.0,11.0,29635.0,4.0,29635.0,546.0,29635.0,6975.0,29635.0')] ).
cnf(29766,plain,
equal(and__dfg(i2,and__dfg(xor__dfg(n6,n22),i3)),xor__dfg(and__dfg(n14,n7),and__dfg(n14,n23))),
inference(spr,[status(thm),theory(equality)],[6497,422]),
[iquote('0:SpR:6497.0,422.0')] ).
cnf(29792,plain,
equal(and__dfg(inv1,xor__dfg(and__dfg(n24,n7),and__dfg(n24,n23))),xor__dfg(and__dfg(n24,n7),and__dfg(n24,n23))),
inference(spr,[status(thm),theory(equality)],[6497,505]),
[iquote('0:SpR:6497.0,505.0')] ).
cnf(29890,plain,
equal(xor__dfg(n7,and__dfg(i2,and__dfg(i3,n22))),n0),
inference(rew,[status(thm),theory(equality)],[1416,29766,11,55,885,3,365,1307,1412,1551,59,1648]),
[iquote('0:Rew:1416.0,29766.0,11.0,29766.0,55.0,29766.0,885.0,29766.0,3.0,29766.0,365.0,29766.0,1416.0,29766.0,55.0,29766.0,1307.0,29766.0,1412.0,29766.0,365.0,29766.0,1551.0,29766.0,59.0,29766.0,1307.0,29766.0,1648.0,29766.0')] ).
cnf(29891,plain,
equal(xor__dfg(n7,not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n7,xor__dfg(n14,n23)))))),n0),
inference(rew,[status(thm),theory(equality)],[4623,29890]),
[iquote('0:Rew:4623.0,29890.0')] ).
cnf(29892,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n23)))),n0),
inference(rew,[status(thm),theory(equality)],[4,29891,546,600]),
[iquote('0:Rew:4.0,29891.0,546.0,29891.0,600.0,29891.0')] ).
cnf(29943,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,and__dfg(i3,n3)))),xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3))))),
inference(rew,[status(thm),theory(equality)],[379,29792,16,363,4237,11,4,546,15,4335,4387,4474,6289,6359,427,1715,432]),
[iquote('0:Rew:379.0,29792.0,16.0,29792.0,363.0,29792.0,4237.0,29792.0,11.0,29792.0,11.0,29792.0,11.0,29792.0,4.0,29792.0,546.0,29792.0,546.0,29792.0,4.0,29792.0,546.0,29792.0,15.0,29792.0,15.0,29792.0,4335.0,29792.0,4387.0,29792.0,4335.0,29792.0,4335.0,29792.0,4335.0,29792.0,4335.0,29792.0,4.0,29792.0,546.0,29792.0,4335.0,29792.0,4335.0,29792.0,4474.0,29792.0,16.0,29792.0,15.0,29792.0,15.0,29792.0,4335.0,29792.0,4387.0,29792.0,6289.0,29792.0,11.0,29792.0,11.0,29792.0,6359.0,29792.0,427.0,29792.0,6289.0,29792.0,1715.0,29792.0,432.0,29792.0')] ).
cnf(30404,plain,
equal(and__dfg(inv1,and__dfg(u,and__dfg(i2,and__dfg(i1,i3)))),and__dfg(n24,and__dfg(u,n14))),
inference(spr,[status(thm),theory(equality)],[1293,6266]),
[iquote('0:SpR:1293.0,6266.0')] ).
cnf(30513,plain,
equal(and__dfg(n2,and__dfg(u,and__dfg(i3,n14))),and__dfg(n2,and__dfg(i2,and__dfg(u,i3)))),
inference(spr,[status(thm),theory(equality)],[1293,13838]),
[iquote('0:SpR:1293.0,13838.0')] ).
cnf(30661,plain,
equal(and__dfg(n24,and__dfg(u,n14)),and__dfg(a1,and__dfg(u,n7))),
inference(rew,[status(thm),theory(equality)],[15540,30404,1551,59,16]),
[iquote('0:Rew:15540.0,30404.0,1551.0,30404.0,59.0,30404.0,16.0,30404.0')] ).
cnf(30662,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(u,a1)),xor__dfg(and__dfg(i3,and__dfg(u,n3)),and__dfg(i3,and__dfg(u,n24)))),and__dfg(a1,and__dfg(u,n7))),
inference(rew,[status(thm),theory(equality)],[8031,30661,4222]),
[iquote('0:Rew:8031.0,30661.0,4222.0,30661.0')] ).
cnf(30663,plain,
equal(xor__dfg(and__dfg(a1,and__dfg(n2,u)),xor__dfg(and__dfg(i3,and__dfg(u,n3)),and__dfg(i3,and__dfg(u,n24)))),and__dfg(a1,and__dfg(u,n7))),
inference(rew,[status(thm),theory(equality)],[15215,30662,436]),
[iquote('0:Rew:15215.0,30662.0,436.0,30662.0')] ).
cnf(30718,plain,
equal(and__dfg(n2,and__dfg(u,n14)),and__dfg(i2,and__dfg(u,n2))),
inference(rew,[status(thm),theory(equality)],[34,30513,9,1307,1358,17]),
[iquote('0:Rew:34.0,30513.0,9.0,30513.0,1307.0,30513.0,1358.0,30513.0,17.0,30513.0')] ).
cnf(30719,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(u,n2))),and__dfg(i2,and__dfg(u,n2))),
inference(rew,[status(thm),theory(equality)],[29239,30718,21167,1299]),
[iquote('0:Rew:29239.0,30718.0,21167.0,30718.0,1299.0,30718.0')] ).
cnf(30720,plain,
equal(and__dfg(i2,and__dfg(u,n2)),and__dfg(a1,and__dfg(u,n2))),
inference(rew,[status(thm),theory(equality)],[372,30719]),
[iquote('0:Rew:372.0,30719.0')] ).
cnf(32354,plain,
equal(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n23))),not__dfg(n0)),
inference(spr,[status(thm),theory(equality)],[29892,129]),
[iquote('0:SpR:29892.0,129.0')] ).
cnf(32360,plain,
equal(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n23))),n1),
inference(rew,[status(thm),theory(equality)],[118,32354]),
[iquote('0:Rew:118.0,32354.0')] ).
cnf(32372,plain,
equal(xor__dfg(n6,xor__dfg(n14,n23)),xor__dfg(inv1,n1)),
inference(spr,[status(thm),theory(equality)],[32360,4]),
[iquote('0:SpR:32360.0,4.0')] ).
cnf(32391,plain,
equal(xor__dfg(n6,xor__dfg(n14,n23)),n20),
inference(rew,[status(thm),theory(equality)],[135,32372,157]),
[iquote('0:Rew:135.0,32372.0,157.0,32372.0')] ).
cnf(32426,plain,
equal(xor__dfg(n14,n23),xor__dfg(n6,n20)),
inference(spr,[status(thm),theory(equality)],[32391,4]),
[iquote('0:SpR:32391.0,4.0')] ).
cnf(32433,plain,
equal(xor__dfg(n14,n20),xor__dfg(n6,n23)),
inference(spr,[status(thm),theory(equality)],[32391,541]),
[iquote('0:SpR:32391.0,541.0')] ).
cnf(32446,plain,
equal(xor__dfg(n14,n23),not__dfg(xor__dfg(inv1,n6))),
inference(rew,[status(thm),theory(equality)],[14,32426,726]),
[iquote('0:Rew:14.0,32426.0,726.0,32426.0')] ).
cnf(32451,plain,
equal(xor__dfg(n6,n23),not__dfg(xor__dfg(inv1,n14))),
inference(rew,[status(thm),theory(equality)],[14,32433,726]),
[iquote('0:Rew:14.0,32433.0,726.0,32433.0')] ).
cnf(32452,plain,
equal(xor__dfg(n7,n22),not__dfg(xor__dfg(inv1,n14))),
inference(rew,[status(thm),theory(equality)],[32451,1665]),
[iquote('0:Rew:32451.0,1665.0')] ).
cnf(32501,plain,
equal(xor__dfg(n14,xor__dfg(u,not__dfg(xor__dfg(inv1,n6)))),xor__dfg(u,n23)),
inference(spr,[status(thm),theory(equality)],[32446,541]),
[iquote('0:SpR:32446.0,541.0')] ).
cnf(32524,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,u)))),xor__dfg(u,n23)),
inference(rew,[status(thm),theory(equality)],[564,32501,546,600]),
[iquote('0:Rew:564.0,32501.0,546.0,32501.0,600.0,32501.0,600.0,32501.0')] ).
cnf(32526,plain,
equal(and__dfg(i3,and__dfg(i1,n9)),not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19))))),
inference(rew,[status(thm),theory(equality)],[32524,2648]),
[iquote('0:Rew:32524.0,2648.0')] ).
cnf(32550,plain,
equal(and__dfg(i3,not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19))))),not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19))))),
inference(spr,[status(thm),theory(equality)],[32526,10]),
[iquote('0:SpR:32526.0,10.0')] ).
cnf(32554,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(i1,n9))),and__dfg(u,not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19)))))),
inference(spr,[status(thm),theory(equality)],[32526,17]),
[iquote('0:SpR:32526.0,17.0')] ).
cnf(32559,plain,
equal(and__dfg(n2,and__dfg(i1,n9)),and__dfg(inv1,not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19)))))),
inference(spr,[status(thm),theory(equality)],[32526,4237]),
[iquote('0:SpR:32526.0,4237.0')] ).
cnf(32561,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(i1,n9))),and__dfg(a1,not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19)))))),
inference(spr,[status(thm),theory(equality)],[32526,15215]),
[iquote('0:SpR:32526.0,15215.0')] ).
cnf(32562,plain,
equal(and__dfg(i1,not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19))))),not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19))))),
inference(spr,[status(thm),theory(equality)],[32526,402]),
[iquote('0:SpR:32526.0,402.0')] ).
cnf(32563,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(i1,n9))),and__dfg(u,not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19)))))),
inference(spr,[status(thm),theory(equality)],[32526,17]),
[iquote('0:SpR:32526.0,17.0')] ).
cnf(32570,plain,
equal(and__dfg(n15,not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19))))),n0),
inference(spr,[status(thm),theory(equality)],[32526,2536]),
[iquote('0:SpR:32526.0,2536.0')] ).
cnf(32571,plain,
equal(and__dfg(n21,not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19))))),n0),
inference(spr,[status(thm),theory(equality)],[32526,2609]),
[iquote('0:SpR:32526.0,2609.0')] ).
cnf(32574,plain,
equal(xor__dfg(n3,xor__dfg(n4,n15)),n0),
inference(rew,[status(thm),theory(equality)],[15,32570,4387,1,14,3,4335,6914,16,378,10,1566,1307,5477,11,912]),
[iquote('0:Rew:15.0,32570.0,4387.0,32570.0,1.0,32570.0,14.0,32570.0,3.0,32570.0,4335.0,32570.0,4335.0,32570.0,6914.0,32570.0,16.0,32570.0,1.0,32570.0,14.0,32570.0,378.0,32570.0,3.0,32570.0,10.0,32570.0,1566.0,32570.0,1307.0,32570.0,5477.0,32570.0,11.0,32570.0,11.0,32570.0,11.0,32570.0,912.0,32570.0')] ).
cnf(32576,plain,
equal(and__dfg(a1,n15),n0),
inference(rew,[status(thm),theory(equality)],[32574,6913]),
[iquote('0:Rew:32574.0,6913.0')] ).
cnf(32578,plain,
equal(and__dfg(n21,n6),n0),
inference(rew,[status(thm),theory(equality)],[32574,6915]),
[iquote('0:Rew:32574.0,6915.0')] ).
cnf(32579,plain,
equal(and__dfg(n15,n21),n0),
inference(rew,[status(thm),theory(equality)],[32574,6916]),
[iquote('0:Rew:32574.0,6916.0')] ).
cnf(32582,plain,
equal(xor__dfg(n4,xor__dfg(n15,and__dfg(n3,n4))),n0),
inference(rew,[status(thm),theory(equality)],[32574,1094]),
[iquote('0:Rew:32574.0,1094.0')] ).
cnf(32584,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n15,xor__dfg(and__dfg(inv1,n3),and__dfg(inv1,n4))))),n0),
inference(rew,[status(thm),theory(equality)],[32574,8170]),
[iquote('0:Rew:32574.0,8170.0')] ).
cnf(32586,plain,
equal(xor__dfg(o3,xor__dfg(n3,xor__dfg(n15,xor__dfg(n21,and__dfg(n3,n21))))),n0),
inference(rew,[status(thm),theory(equality)],[32574,8205]),
[iquote('0:Rew:32574.0,8205.0')] ).
cnf(32588,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n15,xor__dfg(and__dfg(o3,n24),xor__dfg(and__dfg(n3,n24),xor__dfg(and__dfg(n24,n21),and__dfg(n3,and__dfg(n24,n21)))))))),n0),
inference(rew,[status(thm),theory(equality)],[32574,20342]),
[iquote('0:Rew:32574.0,20342.0')] ).
cnf(32589,plain,
equal(and__dfg(a1,and__dfg(n15,u)),and__dfg(n0,u)),
inference(rew,[status(thm),theory(equality)],[32574,21143]),
[iquote('0:Rew:32574.0,21143.0')] ).
cnf(32593,plain,
equal(and__dfg(a1,and__dfg(n15,u)),n0),
inference(rew,[status(thm),theory(equality)],[5,32589]),
[iquote('0:Rew:5.0,32589.0')] ).
cnf(32594,plain,
equal(xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n15))),n0),
inference(rew,[status(thm),theory(equality)],[32593,8139]),
[iquote('0:Rew:32593.0,8139.0')] ).
cnf(32597,plain,
equal(and__dfg(n15,and__dfg(u,n21)),n0),
inference(rew,[status(thm),theory(equality)],[32593,16387]),
[iquote('0:Rew:32593.0,16387.0')] ).
cnf(32608,plain,
equal(xor__dfg(and__dfg(inv1,n19),xor__dfg(and__dfg(i2,and__dfg(n2,n21)),and__dfg(n21,n6))),n0),
inference(rew,[status(thm),theory(equality)],[4,32571,359,16,15,4387,14,2268,1307,14675,11,912]),
[iquote('0:Rew:4.0,32571.0,359.0,32571.0,16.0,32571.0,15.0,32571.0,4387.0,32571.0,14.0,32571.0,2268.0,32571.0,1307.0,32571.0,14675.0,32571.0,11.0,32571.0,11.0,32571.0,11.0,32571.0,912.0,32571.0')] ).
cnf(32609,plain,
equal(xor__dfg(and__dfg(inv1,n19),xor__dfg(and__dfg(a1,and__dfg(n2,n21)),n0)),n0),
inference(rew,[status(thm),theory(equality)],[21167,32608,32578]),
[iquote('0:Rew:21167.0,32608.0,32578.0,32608.0')] ).
cnf(32610,plain,
equal(xor__dfg(and__dfg(a1,n16),and__dfg(inv1,n19)),n0),
inference(rew,[status(thm),theory(equality)],[14,32609,1,15305]),
[iquote('0:Rew:14.0,32609.0,1.0,32609.0,14.0,32609.0,15305.0,32609.0')] ).
cnf(32615,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(n24,n21))),n0),
inference(rew,[status(thm),theory(equality)],[32594,6947]),
[iquote('0:Rew:32594.0,6947.0')] ).
cnf(32630,plain,
equal(and__dfg(n2,and__dfg(i1,n9)),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(inv1,n19)))))),
inference(rew,[status(thm),theory(equality)],[4,32559,9,546,4335,6357,4475,11,912]),
[iquote('0:Rew:4.0,32559.0,9.0,32559.0,4.0,32559.0,546.0,32559.0,546.0,32559.0,4335.0,32559.0,4335.0,32559.0,6357.0,32559.0,4335.0,32559.0,4335.0,32559.0,4475.0,32559.0,11.0,32559.0,11.0,32559.0,11.0,32559.0,912.0,32559.0')] ).
cnf(32631,plain,
equal(and__dfg(n2,and__dfg(n24,n9)),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(inv1,n19)))))),
inference(rew,[status(thm),theory(equality)],[21212,32630]),
[iquote('0:Rew:21212.0,32630.0')] ).
cnf(32632,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,and__dfg(inv1,n19)))),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(inv1,n19)))))),
inference(rew,[status(thm),theory(equality)],[4335,32631,1080,14529,11,2752]),
[iquote('0:Rew:4335.0,32631.0,4335.0,32631.0,1080.0,32631.0,14529.0,32631.0,11.0,32631.0,2752.0,32631.0')] ).
cnf(32640,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(i1,n9))),xor__dfg(u,xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,n14),and__dfg(u,n19)))))),
inference(rew,[status(thm),theory(equality)],[11,32554,912]),
[iquote('0:Rew:11.0,32554.0,11.0,32554.0,11.0,32554.0,912.0,32554.0')] ).
cnf(32641,plain,
equal(xor__dfg(and__dfg(u,n19),and__dfg(u,n23)),xor__dfg(u,xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,n14),and__dfg(u,n19)))))),
inference(rew,[status(thm),theory(equality)],[2793,32640]),
[iquote('0:Rew:2793.0,32640.0')] ).
cnf(32649,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(i1,n9))),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(a1,n19)))))),
inference(rew,[status(thm),theory(equality)],[4,32561,379,546,4335,6355,4481,11,912]),
[iquote('0:Rew:4.0,32561.0,379.0,32561.0,4.0,32561.0,546.0,32561.0,546.0,32561.0,4335.0,32561.0,4335.0,32561.0,6355.0,32561.0,4335.0,32561.0,4335.0,32561.0,4481.0,32561.0,11.0,32561.0,11.0,32561.0,11.0,32561.0,912.0,32561.0')] ).
cnf(32650,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(n24,n9))),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(a1,n19)))))),
inference(rew,[status(thm),theory(equality)],[21212,32649]),
[iquote('0:Rew:21212.0,32649.0')] ).
cnf(32651,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,xor__dfg(and__dfg(a1,n19),and__dfg(a1,n25)))))),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(a1,n19)))))),
inference(rew,[status(thm),theory(equality)],[4,32650,15,546,4335,969,325,14,4703,11,1080,14529,2752]),
[iquote('0:Rew:4.0,32650.0,15.0,32650.0,15.0,32650.0,546.0,32650.0,4335.0,32650.0,4335.0,32650.0,969.0,32650.0,4335.0,32650.0,4335.0,32650.0,325.0,32650.0,14.0,32650.0,4703.0,32650.0,11.0,32650.0,11.0,32650.0,11.0,32650.0,4335.0,32650.0,4335.0,32650.0,1080.0,32650.0,14529.0,32650.0,11.0,32650.0,2752.0,32650.0')] ).
cnf(32652,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,and__dfg(a1,n19))))),xor__dfg(n3,xor__dfg(n7,xor__dfg(n8,and__dfg(a1,n19))))),
inference(rew,[status(thm),theory(equality)],[29385,32651]),
[iquote('0:Rew:29385.0,32651.0')] ).
cnf(32653,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(i1,n9))),xor__dfg(u,xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,n14),and__dfg(u,n19)))))),
inference(rew,[status(thm),theory(equality)],[11,32563,912]),
[iquote('0:Rew:11.0,32563.0,11.0,32563.0,11.0,32563.0,912.0,32563.0')] ).
cnf(32658,plain,
equal(xor__dfg(n2,xor__dfg(i3,xor__dfg(n7,xor__dfg(n14,n19)))),not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19))))),
inference(rew,[status(thm),theory(equality)],[15,32550,22,16,55,34,9,1307,511,11,912]),
[iquote('0:Rew:15.0,32550.0,22.0,32550.0,16.0,32550.0,55.0,32550.0,34.0,32550.0,9.0,32550.0,1307.0,32550.0,511.0,32550.0,11.0,32550.0,11.0,32550.0,11.0,32550.0,912.0,32550.0')] ).
cnf(32659,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19)))),xor__dfg(n24,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19))))),
inference(rew,[status(thm),theory(equality)],[546,32562,60,16,1554,1551,59,1307,1506,11,912]),
[iquote('0:Rew:546.0,32562.0,60.0,32562.0,16.0,32562.0,1554.0,32562.0,16.0,32562.0,1551.0,32562.0,59.0,32562.0,1307.0,32562.0,1506.0,32562.0,11.0,32562.0,11.0,32562.0,11.0,32562.0,912.0,32562.0')] ).
cnf(32660,plain,
equal(and__dfg(i3,and__dfg(i1,n9)),xor__dfg(n24,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19))))),
inference(rew,[status(thm),theory(equality)],[32659,32526]),
[iquote('0:Rew:32659.0,32526.0')] ).
cnf(32661,plain,
equal(xor__dfg(n2,xor__dfg(i3,xor__dfg(n7,xor__dfg(n14,n19)))),xor__dfg(n24,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19))))),
inference(rew,[status(thm),theory(equality)],[32659,32658]),
[iquote('0:Rew:32659.0,32658.0')] ).
cnf(32909,plain,
equal(and__dfg(i3,n0),and__dfg(a1,and__dfg(i2,n19))),
inference(spr,[status(thm),theory(equality)],[32576,1605]),
[iquote('0:SpR:32576.0,1605.0')] ).
cnf(32926,plain,
equal(and__dfg(a1,n19),n0),
inference(rew,[status(thm),theory(equality)],[5,32909,16,13705]),
[iquote('0:Rew:5.0,32909.0,16.0,32909.0,13705.0,32909.0')] ).
cnf(32932,plain,
equal(xor__dfg(and__dfg(i3,n3),and__dfg(i3,n4)),xor__dfg(n0,and__dfg(i2,n19))),
inference(rew,[status(thm),theory(equality)],[32926,23940]),
[iquote('0:Rew:32926.0,23940.0')] ).
cnf(32942,plain,
equal(xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,n3),xor__dfg(n0,and__dfg(a1,and__dfg(n2,n3)))))),n0),
inference(rew,[status(thm),theory(equality)],[32926,29497]),
[iquote('0:Rew:32926.0,29497.0')] ).
cnf(32947,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,n0)))),xor__dfg(n3,xor__dfg(n7,xor__dfg(n8,n0)))),
inference(rew,[status(thm),theory(equality)],[32926,32652]),
[iquote('0:Rew:32926.0,32652.0')] ).
cnf(32960,plain,
equal(xor__dfg(and__dfg(i3,n3),and__dfg(i3,n4)),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[1,32932]),
[iquote('0:Rew:1.0,32932.0')] ).
cnf(32961,plain,
equal(xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,n3),and__dfg(a1,and__dfg(n2,n3))))),n0),
inference(rew,[status(thm),theory(equality)],[1,32942]),
[iquote('0:Rew:1.0,32942.0')] ).
cnf(32962,plain,
equal(xor__dfg(n3,xor__dfg(n7,n8)),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,n11)))),
inference(rew,[status(thm),theory(equality)],[1,32947,14]),
[iquote('0:Rew:1.0,32947.0,14.0,32947.0,1.0,32947.0,14.0,32947.0')] ).
cnf(32963,plain,
equal(and__dfg(inv1,n7),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,n11)))),
inference(rew,[status(thm),theory(equality)],[32962,6975]),
[iquote('0:Rew:32962.0,6975.0')] ).
cnf(32965,plain,
equal(and__dfg(n2,n6),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,n11)))),
inference(rew,[status(thm),theory(equality)],[32962,6983]),
[iquote('0:Rew:32962.0,6983.0')] ).
cnf(32966,plain,
equal(and__dfg(a1,n7),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,n11)))),
inference(rew,[status(thm),theory(equality)],[32962,6985]),
[iquote('0:Rew:32962.0,6985.0')] ).
cnf(32967,plain,
equal(and__dfg(n2,n7),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,n11)))),
inference(rew,[status(thm),theory(equality)],[32962,8105]),
[iquote('0:Rew:32962.0,8105.0')] ).
cnf(32970,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n11,xor__dfg(n25,and__dfg(i3,n3))))),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,n11)))),
inference(rew,[status(thm),theory(equality)],[32962,6998]),
[iquote('0:Rew:32962.0,6998.0')] ).
cnf(32979,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n7,xor__dfg(n9,and__dfg(n2,n3))))),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,n11)))),
inference(rew,[status(thm),theory(equality)],[32962,9332]),
[iquote('0:Rew:32962.0,9332.0')] ).
cnf(33111,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(i1,n9))),and__dfg(u,xor__dfg(n24,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19)))))),
inference(spr,[status(thm),theory(equality)],[32660,17]),
[iquote('0:SpR:32660.0,17.0')] ).
cnf(33116,plain,
equal(and__dfg(n2,and__dfg(i1,n9)),and__dfg(inv1,xor__dfg(n24,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19)))))),
inference(spr,[status(thm),theory(equality)],[32660,4237]),
[iquote('0:SpR:32660.0,4237.0')] ).
cnf(33117,plain,
equal(and__dfg(n2,and__dfg(i1,n9)),and__dfg(n2,xor__dfg(n24,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19)))))),
inference(spr,[status(thm),theory(equality)],[32660,13838]),
[iquote('0:SpR:32660.0,13838.0')] ).
cnf(33118,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(i1,n9))),and__dfg(a1,xor__dfg(n24,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19)))))),
inference(spr,[status(thm),theory(equality)],[32660,15215]),
[iquote('0:SpR:32660.0,15215.0')] ).
cnf(33128,plain,
equal(and__dfg(n21,xor__dfg(n24,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19))))),n0),
inference(spr,[status(thm),theory(equality)],[32660,2609]),
[iquote('0:SpR:32660.0,2609.0')] ).
cnf(33132,plain,
equal(and__dfg(inv1,n19),n0),
inference(rew,[status(thm),theory(equality)],[1,33128,14,3,564,16,2272,5,32578,427,14675,11]),
[iquote('0:Rew:1.0,33128.0,14.0,33128.0,3.0,33128.0,564.0,33128.0,16.0,33128.0,1.0,33128.0,14.0,33128.0,2272.0,33128.0,1.0,33128.0,5.0,33128.0,16.0,33128.0,32578.0,33128.0,427.0,33128.0,14675.0,33128.0,11.0,33128.0,11.0,33128.0,11.0,33128.0,11.0,33128.0')] ).
cnf(33133,plain,
equal(and__dfg(n2,n19),n0),
inference(rew,[status(thm),theory(equality)],[33132,14342]),
[iquote('0:Rew:33132.0,14342.0')] ).
cnf(33136,plain,
equal(and__dfg(n2,and__dfg(n24,n21)),n0),
inference(rew,[status(thm),theory(equality)],[33132,14529]),
[iquote('0:Rew:33132.0,14529.0')] ).
cnf(33156,plain,
equal(xor__dfg(and__dfg(a1,n16),n0),n0),
inference(rew,[status(thm),theory(equality)],[33132,32610]),
[iquote('0:Rew:33132.0,32610.0')] ).
cnf(33158,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,n0))),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,xor__dfg(n11,n0))))),
inference(rew,[status(thm),theory(equality)],[33132,32632]),
[iquote('0:Rew:33132.0,32632.0')] ).
cnf(33163,plain,
equal(and__dfg(a1,n16),n0),
inference(rew,[status(thm),theory(equality)],[1,33156,14]),
[iquote('0:Rew:1.0,33156.0,14.0,33156.0')] ).
cnf(33166,plain,
equal(and__dfg(a1,and__dfg(n2,n21)),n0),
inference(rew,[status(thm),theory(equality)],[33163,15305]),
[iquote('0:Rew:33163.0,15305.0')] ).
cnf(33237,plain,
equal(and__dfg(n2,and__dfg(i1,n9)),xor__dfg(a1,xor__dfg(n3,xor__dfg(n24,xor__dfg(and__dfg(inv1,n7),and__dfg(inv1,n19)))))),
inference(rew,[status(thm),theory(equality)],[546,33116,369,4,4335,6357,60,11]),
[iquote('0:Rew:546.0,33116.0,369.0,33116.0,4.0,33116.0,4335.0,33116.0,4335.0,33116.0,6357.0,33116.0,60.0,33116.0,11.0,33116.0,11.0,33116.0,11.0,33116.0,11.0,33116.0')] ).
cnf(33238,plain,
equal(and__dfg(n2,and__dfg(n24,n9)),xor__dfg(a1,xor__dfg(n0,xor__dfg(n2,xor__dfg(n3,xor__dfg(n3,xor__dfg(n24,xor__dfg(n24,n11)))))))),
inference(rew,[status(thm),theory(equality)],[21212,33237,8251,4420,8268,8286,4416,32963,33132]),
[iquote('0:Rew:21212.0,33237.0,8251.0,33237.0,4420.0,33237.0,8251.0,33237.0,8268.0,33237.0,8286.0,33237.0,8251.0,33237.0,4420.0,33237.0,8286.0,33237.0,4416.0,33237.0,32963.0,33237.0,33132.0,33237.0')] ).
cnf(33239,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,and__dfg(n2,and__dfg(n24,n21))))),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[4335,33238,1080,11,2752,1,4]),
[iquote('0:Rew:4335.0,33238.0,4335.0,33238.0,1080.0,33238.0,11.0,33238.0,2752.0,33238.0,1.0,33238.0,4.0,33238.0,4.0,33238.0')] ).
cnf(33240,plain,
equal(xor__dfg(n2,xor__dfg(n0,xor__dfg(n24,n25))),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[8268,33239,4416,33136]),
[iquote('0:Rew:8268.0,33239.0,4416.0,33239.0,33136.0,33239.0')] ).
cnf(33241,plain,
equal(xor__dfg(n2,xor__dfg(n24,n25)),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[1,33240]),
[iquote('0:Rew:1.0,33240.0')] ).
cnf(33242,plain,
equal(and__dfg(n2,n24),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[33241,1080]),
[iquote('0:Rew:33241.0,1080.0')] ).
cnf(33243,plain,
equal(and__dfg(n2,i1),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[33241,5411]),
[iquote('0:Rew:33241.0,5411.0')] ).
cnf(33245,plain,
equal(and__dfg(i3,n24),xor__dfg(a1,xor__dfg(n2,n11))),
inference(rew,[status(thm),theory(equality)],[33241,6289]),
[iquote('0:Rew:33241.0,6289.0')] ).
cnf(33255,plain,
equal(and__dfg(xor__dfg(a1,xor__dfg(n2,n11)),u),and__dfg(n2,and__dfg(n24,u))),
inference(rew,[status(thm),theory(equality)],[33241,20938]),
[iquote('0:Rew:33241.0,20938.0')] ).
cnf(33257,plain,
equal(and__dfg(n2,and__dfg(n24,u)),and__dfg(a1,and__dfg(n2,u))),
inference(rew,[status(thm),theory(equality)],[21139,33255]),
[iquote('0:Rew:21139.0,33255.0')] ).
cnf(33268,plain,
equal(xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n24),and__dfg(u,n25))),and__dfg(a1,and__dfg(n2,u))),
inference(rew,[status(thm),theory(equality)],[33257,3950]),
[iquote('0:Rew:33257.0,3950.0')] ).
cnf(33269,plain,
equal(and__dfg(i3,and__dfg(n24,u)),and__dfg(a1,and__dfg(n2,u))),
inference(rew,[status(thm),theory(equality)],[33257,21206]),
[iquote('0:Rew:33257.0,21206.0')] ).
cnf(33270,plain,
equal(and__dfg(n2,and__dfg(i1,u)),and__dfg(a1,and__dfg(n2,u))),
inference(rew,[status(thm),theory(equality)],[33257,21212]),
[iquote('0:Rew:33257.0,21212.0')] ).
cnf(33271,plain,
equal(and__dfg(n2,and__dfg(n6,u)),and__dfg(a1,and__dfg(a1,and__dfg(n2,u)))),
inference(rew,[status(thm),theory(equality)],[33257,21318]),
[iquote('0:Rew:33257.0,21318.0')] ).
cnf(33272,plain,
equal(and__dfg(a1,and__dfg(u,n7)),and__dfg(a1,and__dfg(a1,and__dfg(n2,u)))),
inference(rew,[status(thm),theory(equality)],[33257,21320]),
[iquote('0:Rew:33257.0,21320.0')] ).
cnf(33280,plain,
equal(and__dfg(n2,and__dfg(n6,u)),and__dfg(a1,and__dfg(n2,u))),
inference(rew,[status(thm),theory(equality)],[10,33271]),
[iquote('0:Rew:10.0,33271.0')] ).
cnf(33281,plain,
equal(and__dfg(a1,and__dfg(u,n7)),and__dfg(a1,and__dfg(n2,u))),
inference(rew,[status(thm),theory(equality)],[10,33272]),
[iquote('0:Rew:10.0,33272.0')] ).
cnf(33282,plain,
equal(and__dfg(n2,and__dfg(i1,n9)),xor__dfg(and__dfg(n2,n24),xor__dfg(and__dfg(n2,n6),xor__dfg(and__dfg(n2,i1),xor__dfg(and__dfg(n2,n7),and__dfg(n2,n19)))))),
inference(rew,[status(thm),theory(equality)],[11,33117]),
[iquote('0:Rew:11.0,33117.0,11.0,33117.0,11.0,33117.0,11.0,33117.0')] ).
cnf(33283,plain,
equal(xor__dfg(n0,and__dfg(a1,n2)),xor__dfg(a1,xor__dfg(n0,xor__dfg(a1,xor__dfg(n2,xor__dfg(n2,xor__dfg(n3,xor__dfg(n3,xor__dfg(n24,xor__dfg(n24,xor__dfg(n11,xor__dfg(n11,xor__dfg(n11,n11))))))))))))),
inference(rew,[status(thm),theory(equality)],[26631,33282,33166,27418,33270,8251,4568,8268,4420,8286,24021,4415,8325,33242,4416,8299,32965,33243,32967,33133]),
[iquote('0:Rew:26631.0,33282.0,33166.0,33282.0,27418.0,33282.0,33270.0,33282.0,8251.0,33282.0,4568.0,33282.0,8268.0,33282.0,8251.0,33282.0,8268.0,33282.0,8251.0,33282.0,8268.0,33282.0,8251.0,33282.0,4420.0,33282.0,8286.0,33282.0,4420.0,33282.0,8251.0,33282.0,8286.0,33282.0,8251.0,33282.0,4420.0,33282.0,8286.0,33282.0,4420.0,33282.0,8268.0,33282.0,8251.0,33282.0,8286.0,33282.0,8251.0,33282.0,24021.0,33282.0,8286.0,33282.0,8251.0,33282.0,8268.0,33282.0,4415.0,33282.0,8268.0,33282.0,8325.0,33282.0,8286.0,33282.0,8286.0,33282.0,8286.0,33282.0,8286.0,33282.0,8286.0,33282.0,33242.0,33282.0,8251.0,33282.0,8268.0,33282.0,8251.0,33282.0,8268.0,33282.0,8251.0,33282.0,4420.0,33282.0,8286.0,33282.0,4420.0,33282.0,8251.0,33282.0,8286.0,33282.0,8251.0,33282.0,4420.0,33282.0,8286.0,33282.0,4420.0,33282.0,8268.0,33282.0,8251.0,33282.0,8286.0,33282.0,8251.0,33282.0,4416.0,33282.0,8286.0,33282.0,4415.0,33282.0,8268.0,33282.0,4416.0,33282.0,8325.0,33282.0,8286.0,33282.0,8286.0,33282.0,8286.0,33282.0,8268.0,33282.0,8251.0,33282.0,8299.0,33282.0,4415.0,33282.0,8268.0,33282.0,8286.0,33282.0,8251.0,33282.0,8268.0,33282.0,8325.0,33282.0,8286.0,33282.0,4416.0,33282.0,32965.0,33282.0,33243.0,33282.0,32967.0,33282.0,33133.0,33282.0')] ).
cnf(33284,plain,
equal(xor__dfg(a1,xor__dfg(n2,n11)),n0),
inference(rew,[status(thm),theory(equality)],[1,33283,969,3,14]),
[iquote('0:Rew:1.0,33283.0,969.0,33283.0,3.0,33283.0,1.0,33283.0,1.0,33283.0,14.0,33283.0,3.0,33283.0,1.0,33283.0,14.0,33283.0,3.0,33283.0,1.0,33283.0,14.0,33283.0,3.0,33283.0,1.0,33283.0,14.0,33283.0,3.0,33283.0,1.0,33283.0,14.0,33283.0,3.0,33283.0')] ).
cnf(33285,plain,
equal(and__dfg(a1,n2),n0),
inference(rew,[status(thm),theory(equality)],[33284,969]),
[iquote('0:Rew:33284.0,969.0')] ).
cnf(33286,plain,
equal(and__dfg(a1,i3),n0),
inference(rew,[status(thm),theory(equality)],[33284,4474]),
[iquote('0:Rew:33284.0,4474.0')] ).
cnf(33289,plain,
equal(and__dfg(i2,n2),n0),
inference(rew,[status(thm),theory(equality)],[33284,4476]),
[iquote('0:Rew:33284.0,4476.0')] ).
cnf(33297,plain,
equal(and__dfg(a1,and__dfg(n2,u)),and__dfg(n0,u)),
inference(rew,[status(thm),theory(equality)],[33284,21139]),
[iquote('0:Rew:33284.0,21139.0')] ).
cnf(33298,plain,
equal(xor__dfg(n2,xor__dfg(n24,n25)),n0),
inference(rew,[status(thm),theory(equality)],[33284,33241]),
[iquote('0:Rew:33284.0,33241.0')] ).
cnf(33300,plain,
equal(and__dfg(n2,i1),n0),
inference(rew,[status(thm),theory(equality)],[33284,33243]),
[iquote('0:Rew:33284.0,33243.0')] ).
cnf(33302,plain,
equal(and__dfg(i3,n24),n0),
inference(rew,[status(thm),theory(equality)],[33284,33245]),
[iquote('0:Rew:33284.0,33245.0')] ).
cnf(33312,plain,
equal(and__dfg(a1,and__dfg(n2,u)),n0),
inference(rew,[status(thm),theory(equality)],[5,33297]),
[iquote('0:Rew:5.0,33297.0')] ).
cnf(33313,plain,
equal(and__dfg(a1,and__dfg(i3,u)),n0),
inference(rew,[status(thm),theory(equality)],[33312,15215]),
[iquote('0:Rew:33312.0,15215.0')] ).
cnf(33315,plain,
equal(xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n2),and__dfg(u,n11))),n0),
inference(rew,[status(thm),theory(equality)],[33312,23341]),
[iquote('0:Rew:33312.0,23341.0')] ).
cnf(33319,plain,
equal(xor__dfg(and__dfg(a1,n3),xor__dfg(and__dfg(a1,n8),n0)),xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,n21),and__dfg(a1,n8))))),
inference(rew,[status(thm),theory(equality)],[33312,29404]),
[iquote('0:Rew:33312.0,29404.0')] ).
cnf(33320,plain,
equal(xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,n3),n0))),n0),
inference(rew,[status(thm),theory(equality)],[33312,32961]),
[iquote('0:Rew:33312.0,32961.0')] ).
cnf(33324,plain,
equal(and__dfg(i2,and__dfg(n2,u)),n0),
inference(rew,[status(thm),theory(equality)],[33312,21167]),
[iquote('0:Rew:33312.0,21167.0')] ).
cnf(33333,plain,
equal(xor__dfg(n0,xor__dfg(and__dfg(i3,and__dfg(u,n3)),and__dfg(i3,and__dfg(u,n24)))),and__dfg(a1,and__dfg(u,n7))),
inference(rew,[status(thm),theory(equality)],[33312,30663]),
[iquote('0:Rew:33312.0,30663.0')] ).
cnf(33336,plain,
equal(and__dfg(i3,and__dfg(n24,u)),n0),
inference(rew,[status(thm),theory(equality)],[33312,33269]),
[iquote('0:Rew:33312.0,33269.0')] ).
cnf(33337,plain,
equal(and__dfg(n2,and__dfg(i1,u)),n0),
inference(rew,[status(thm),theory(equality)],[33312,33270]),
[iquote('0:Rew:33312.0,33270.0')] ).
cnf(33339,plain,
equal(and__dfg(n2,and__dfg(n6,u)),n0),
inference(rew,[status(thm),theory(equality)],[33312,33280]),
[iquote('0:Rew:33312.0,33280.0')] ).
cnf(33340,plain,
equal(and__dfg(a1,and__dfg(u,n7)),n0),
inference(rew,[status(thm),theory(equality)],[33312,33281]),
[iquote('0:Rew:33312.0,33281.0')] ).
cnf(33358,plain,
equal(xor__dfg(n2,xor__dfg(n11,and__dfg(a1,n3))),n0),
inference(rew,[status(thm),theory(equality)],[1,33320,14]),
[iquote('0:Rew:1.0,33320.0,14.0,33320.0')] ).
cnf(33359,plain,
equal(and__dfg(a1,and__dfg(u,n2)),n0),
inference(rew,[status(thm),theory(equality)],[33315,1164]),
[iquote('0:Rew:33315.0,1164.0')] ).
cnf(33380,plain,
equal(and__dfg(i2,and__dfg(u,n2)),n0),
inference(rew,[status(thm),theory(equality)],[33359,30720]),
[iquote('0:Rew:33359.0,30720.0')] ).
cnf(33394,plain,
equal(xor__dfg(n2,xor__dfg(n24,n25)),xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,n11)))),
inference(rew,[status(thm),theory(equality)],[1,33158,14]),
[iquote('0:Rew:1.0,33158.0,14.0,33158.0,1.0,33158.0,14.0,33158.0')] ).
cnf(33395,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n24,n11))),n0),
inference(rew,[status(thm),theory(equality)],[33298,33394]),
[iquote('0:Rew:33298.0,33394.0')] ).
cnf(33397,plain,
equal(and__dfg(inv1,n7),n0),
inference(rew,[status(thm),theory(equality)],[33395,32963]),
[iquote('0:Rew:33395.0,32963.0')] ).
cnf(33399,plain,
equal(and__dfg(n2,n6),n0),
inference(rew,[status(thm),theory(equality)],[33395,32965]),
[iquote('0:Rew:33395.0,32965.0')] ).
cnf(33400,plain,
equal(and__dfg(a1,n7),n0),
inference(rew,[status(thm),theory(equality)],[33395,32966]),
[iquote('0:Rew:33395.0,32966.0')] ).
cnf(33407,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n11,xor__dfg(n25,and__dfg(i3,n3))))),n0),
inference(rew,[status(thm),theory(equality)],[33395,32970]),
[iquote('0:Rew:33395.0,32970.0')] ).
cnf(33411,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n7,xor__dfg(n9,and__dfg(n2,n3))))),n0),
inference(rew,[status(thm),theory(equality)],[33395,32979]),
[iquote('0:Rew:33395.0,32979.0')] ).
cnf(33422,plain,
equal(xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n24),and__dfg(u,n25))),n0),
inference(rew,[status(thm),theory(equality)],[33312,33268]),
[iquote('0:Rew:33312.0,33268.0')] ).
cnf(33426,plain,
equal(and__dfg(i3,and__dfg(u,n24)),n0),
inference(rew,[status(thm),theory(equality)],[33422,6327]),
[iquote('0:Rew:33422.0,6327.0')] ).
cnf(33460,plain,
equal(and__dfg(i3,and__dfg(u,and__dfg(i1,n9))),xor__dfg(and__dfg(u,n24),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,i1),xor__dfg(and__dfg(u,n7),and__dfg(u,n19)))))),
inference(rew,[status(thm),theory(equality)],[11,33111]),
[iquote('0:Rew:11.0,33111.0,11.0,33111.0,11.0,33111.0,11.0,33111.0')] ).
cnf(33461,plain,
equal(xor__dfg(u,xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,n14),and__dfg(u,n19))))),xor__dfg(and__dfg(u,n24),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,i1),xor__dfg(and__dfg(u,n7),and__dfg(u,n19)))))),
inference(rew,[status(thm),theory(equality)],[32653,33460]),
[iquote('0:Rew:32653.0,33460.0')] ).
cnf(33463,plain,
equal(xor__dfg(and__dfg(u,n19),and__dfg(u,n23)),xor__dfg(and__dfg(u,n24),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,i1),xor__dfg(and__dfg(u,n7),and__dfg(u,n19)))))),
inference(rew,[status(thm),theory(equality)],[33461,32641]),
[iquote('0:Rew:33461.0,32641.0')] ).
cnf(33468,plain,
equal(and__dfg(a1,and__dfg(n2,and__dfg(i1,n9))),xor__dfg(a1,xor__dfg(n3,xor__dfg(n24,xor__dfg(and__dfg(a1,n7),and__dfg(a1,n19)))))),
inference(rew,[status(thm),theory(equality)],[4335,33118,325,4,546,6355,6373,11]),
[iquote('0:Rew:4335.0,33118.0,4335.0,33118.0,325.0,33118.0,4.0,33118.0,4.0,33118.0,546.0,33118.0,4.0,33118.0,546.0,33118.0,4335.0,33118.0,4335.0,33118.0,6355.0,33118.0,4335.0,33118.0,4335.0,33118.0,6373.0,33118.0,11.0,33118.0,11.0,33118.0,11.0,33118.0,11.0,33118.0')] ).
cnf(33469,plain,
equal(and__dfg(a1,n0),xor__dfg(n0,xor__dfg(n0,xor__dfg(a1,xor__dfg(n3,n24))))),
inference(rew,[status(thm),theory(equality)],[33337,33468,8268,8325,33400,32926]),
[iquote('0:Rew:33337.0,33468.0,8268.0,33468.0,8325.0,33468.0,33400.0,33468.0,32926.0,33468.0')] ).
cnf(33470,plain,
equal(xor__dfg(a1,xor__dfg(n3,n24)),n0),
inference(rew,[status(thm),theory(equality)],[5,33469,16,1]),
[iquote('0:Rew:5.0,33469.0,16.0,33469.0,1.0,33469.0,1.0,33469.0')] ).
cnf(33472,plain,
equal(and__dfg(a1,n6),n0),
inference(rew,[status(thm),theory(equality)],[33470,6355]),
[iquote('0:Rew:33470.0,6355.0')] ).
cnf(33473,plain,
equal(and__dfg(a1,i1),n0),
inference(rew,[status(thm),theory(equality)],[33470,6373]),
[iquote('0:Rew:33470.0,6373.0')] ).
cnf(33474,plain,
equal(and__dfg(inv1,n6),n0),
inference(rew,[status(thm),theory(equality)],[33470,6357]),
[iquote('0:Rew:33470.0,6357.0')] ).
cnf(33477,plain,
equal(and__dfg(n3,n6),n0),
inference(rew,[status(thm),theory(equality)],[33470,6930]),
[iquote('0:Rew:33470.0,6930.0')] ).
cnf(33483,plain,
equal(xor__dfg(n3,xor__dfg(n24,and__dfg(i2,n3))),n0),
inference(rew,[status(thm),theory(equality)],[33470,6937]),
[iquote('0:Rew:33470.0,6937.0')] ).
cnf(33489,plain,
equal(and__dfg(a1,and__dfg(n24,u)),and__dfg(n0,u)),
inference(rew,[status(thm),theory(equality)],[33470,21146]),
[iquote('0:Rew:33470.0,21146.0')] ).
cnf(33491,plain,
equal(and__dfg(a1,and__dfg(n24,u)),n0),
inference(rew,[status(thm),theory(equality)],[5,33489]),
[iquote('0:Rew:5.0,33489.0')] ).
cnf(33493,plain,
equal(xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),and__dfg(u,n24))),n0),
inference(rew,[status(thm),theory(equality)],[33491,3943]),
[iquote('0:Rew:33491.0,3943.0')] ).
cnf(33498,plain,
equal(and__dfg(n3,and__dfg(n6,u)),n0),
inference(rew,[status(thm),theory(equality)],[33491,21149]),
[iquote('0:Rew:33491.0,21149.0')] ).
cnf(33501,plain,
equal(xor__dfg(and__dfg(n24,u),xor__dfg(n0,and__dfg(n3,and__dfg(n24,u)))),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),and__dfg(u,n24)))),
inference(rew,[status(thm),theory(equality)],[33491,26728]),
[iquote('0:Rew:33491.0,26728.0')] ).
cnf(33549,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(u,n3)),and__dfg(i3,and__dfg(u,n24))),and__dfg(a1,and__dfg(u,n7))),
inference(rew,[status(thm),theory(equality)],[1,33333]),
[iquote('0:Rew:1.0,33333.0')] ).
cnf(33550,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(u,n3)),n0),n0),
inference(rew,[status(thm),theory(equality)],[33426,33549,33340]),
[iquote('0:Rew:33426.0,33549.0,33340.0,33549.0')] ).
cnf(33551,plain,
equal(and__dfg(i3,and__dfg(u,n3)),n0),
inference(rew,[status(thm),theory(equality)],[1,33550,14]),
[iquote('0:Rew:1.0,33550.0,14.0,33550.0')] ).
cnf(33586,plain,
equal(xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(a1,n21),and__dfg(a1,n8)))),xor__dfg(and__dfg(a1,n3),and__dfg(a1,n8))),
inference(rew,[status(thm),theory(equality)],[1,33319,14]),
[iquote('0:Rew:1.0,33319.0,14.0,33319.0')] ).
cnf(33636,plain,
equal(xor__dfg(and__dfg(n24,u),and__dfg(n3,and__dfg(n24,u))),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),and__dfg(u,n24)))),
inference(rew,[status(thm),theory(equality)],[1,33501]),
[iquote('0:Rew:1.0,33501.0')] ).
cnf(33637,plain,
equal(xor__dfg(and__dfg(n24,u),and__dfg(n3,and__dfg(n24,u))),n0),
inference(rew,[status(thm),theory(equality)],[33493,33636]),
[iquote('0:Rew:33493.0,33636.0')] ).
cnf(33639,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n15,xor__dfg(and__dfg(o3,n24),xor__dfg(and__dfg(n3,n24),n0))))),n0),
inference(rew,[status(thm),theory(equality)],[33637,32588]),
[iquote('0:Rew:33637.0,32588.0')] ).
cnf(33641,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n15,xor__dfg(and__dfg(o3,n24),and__dfg(n3,n24))))),n0),
inference(rew,[status(thm),theory(equality)],[1,33639,14]),
[iquote('0:Rew:1.0,33639.0,14.0,33639.0')] ).
cnf(35659,plain,
equal(xor__dfg(xor__dfg(n4,n15),n0),n3),
inference(spr,[status(thm),theory(equality)],[32574,161]),
[iquote('0:SpR:32574.0,161.0')] ).
cnf(35660,plain,
equal(xor__dfg(xor__dfg(n4,n15),xor__dfg(n3,u)),xor__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[32574,4387]),
[iquote('0:SpR:32574.0,4387.0')] ).
cnf(35668,plain,
equal(xor__dfg(n4,n0),xor__dfg(n3,n15)),
inference(spr,[status(thm),theory(equality)],[32574,541]),
[iquote('0:SpR:32574.0,541.0')] ).
cnf(35676,plain,
equal(xor__dfg(n15,n0),xor__dfg(n3,n4)),
inference(spr,[status(thm),theory(equality)],[32574,569]),
[iquote('0:SpR:32574.0,569.0')] ).
cnf(35679,plain,
equal(xor__dfg(n4,n15),n3),
inference(rew,[status(thm),theory(equality)],[1,35659,14,4335]),
[iquote('0:Rew:1.0,35659.0,14.0,35659.0,4335.0,35659.0')] ).
cnf(35682,plain,
equal(xor__dfg(n3,n15),n4),
inference(rew,[status(thm),theory(equality)],[1,35668,14]),
[iquote('0:Rew:1.0,35668.0,14.0,35668.0')] ).
cnf(35683,plain,
equal(xor__dfg(n3,n4),n15),
inference(rew,[status(thm),theory(equality)],[1,35676,14]),
[iquote('0:Rew:1.0,35676.0,14.0,35676.0')] ).
cnf(35684,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n15,u))),u),
inference(rew,[status(thm),theory(equality)],[15,35660,4335,2]),
[iquote('0:Rew:15.0,35660.0,15.0,35660.0,4335.0,35660.0,2.0,35660.0')] ).
cnf(35687,plain,
equal(xor__dfg(and__dfg(o3,n24),and__dfg(n3,n24)),n0),
inference(rew,[status(thm),theory(equality)],[35684,33641]),
[iquote('0:Rew:35684.0,33641.0')] ).
cnf(35690,plain,
equal(xor__dfg(and__dfg(inv1,n3),and__dfg(inv1,n4)),n0),
inference(rew,[status(thm),theory(equality)],[35684,32584]),
[iquote('0:Rew:35684.0,32584.0')] ).
cnf(35718,plain,
equal(xor__dfg(n4,xor__dfg(n15,u)),xor__dfg(n3,u)),
inference(spr,[status(thm),theory(equality)],[35679,4335]),
[iquote('0:SpR:35679.0,4335.0')] ).
cnf(35738,plain,
equal(xor__dfg(n3,and__dfg(n3,n4)),n0),
inference(rew,[status(thm),theory(equality)],[35718,32582]),
[iquote('0:Rew:35718.0,32582.0')] ).
cnf(35759,plain,
equal(xor__dfg(n3,xor__dfg(n15,u)),xor__dfg(n4,u)),
inference(spr,[status(thm),theory(equality)],[35682,4335]),
[iquote('0:SpR:35682.0,4335.0')] ).
cnf(35775,plain,
equal(xor__dfg(o3,xor__dfg(n4,xor__dfg(n21,and__dfg(n3,n21)))),n0),
inference(rew,[status(thm),theory(equality)],[35759,32586]),
[iquote('0:Rew:35759.0,32586.0')] ).
cnf(36029,plain,
equal(xor__dfg(n15,u),xor__dfg(n3,xor__dfg(n4,u))),
inference(spr,[status(thm),theory(equality)],[35683,4335]),
[iquote('0:SpR:35683.0,4335.0')] ).
cnf(36036,plain,
equal(and__dfg(u,n15),xor__dfg(and__dfg(u,n3),and__dfg(u,n4))),
inference(spr,[status(thm),theory(equality)],[35683,11]),
[iquote('0:SpR:35683.0,11.0')] ).
cnf(36043,plain,
equal(and__dfg(n6,n9),xor__dfg(n3,xor__dfg(n4,n6))),
inference(rew,[status(thm),theory(equality)],[36029,2418]),
[iquote('0:Rew:36029.0,2418.0')] ).
cnf(36044,plain,
equal(and__dfg(xor__dfg(n3,xor__dfg(n4,n6)),u),and__dfg(n6,and__dfg(n9,u))),
inference(rew,[status(thm),theory(equality)],[36029,21021]),
[iquote('0:Rew:36029.0,21021.0')] ).
cnf(36059,plain,
equal(and__dfg(n15,and__dfg(u,n6)),xor__dfg(and__dfg(u,n3),and__dfg(u,n4))),
inference(rew,[status(thm),theory(equality)],[36036,428]),
[iquote('0:Rew:36036.0,428.0')] ).
cnf(36063,plain,
equal(and__dfg(n6,and__dfg(u,n9)),xor__dfg(xor__dfg(and__dfg(u,n3),and__dfg(u,n4)),and__dfg(u,n6))),
inference(rew,[status(thm),theory(equality)],[36036,2502]),
[iquote('0:Rew:36036.0,2502.0')] ).
cnf(36116,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(n6,u))),xor__dfg(and__dfg(v,and__dfg(i3,xor__dfg(and__dfg(u,n3),and__dfg(u,n4)))),and__dfg(v,and__dfg(i3,and__dfg(u,n6)))))),
inference(rew,[status(thm),theory(equality)],[36036,7892]),
[iquote('0:Rew:36036.0,7892.0')] ).
cnf(36213,plain,
equal(and__dfg(n6,and__dfg(u,n9)),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6)))),
inference(rew,[status(thm),theory(equality)],[4335,36063]),
[iquote('0:Rew:4335.0,36063.0')] ).
cnf(36331,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(n6,u))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(u,n3))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(u,n4))),and__dfg(v,and__dfg(i3,and__dfg(u,n6))))))),
inference(rew,[status(thm),theory(equality)],[4335,36116,11]),
[iquote('0:Rew:4335.0,36116.0,11.0,36116.0,11.0,36116.0')] ).
cnf(36332,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(n6,u))),xor__dfg(and__dfg(v,n0),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(u,n4))),and__dfg(v,and__dfg(i3,and__dfg(u,n6))))))),
inference(rew,[status(thm),theory(equality)],[33551,36331]),
[iquote('0:Rew:33551.0,36331.0')] ).
cnf(36333,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(n6,u))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(u,n4))),and__dfg(v,and__dfg(i3,and__dfg(u,n6)))))),
inference(rew,[status(thm),theory(equality)],[1,36332,6]),
[iquote('0:Rew:1.0,36332.0,6.0,36332.0')] ).
cnf(36492,plain,
equal(and__dfg(n6,xor__dfg(n3,xor__dfg(n4,n6))),xor__dfg(n3,xor__dfg(n4,n6))),
inference(spr,[status(thm),theory(equality)],[36043,10]),
[iquote('0:SpR:36043.0,10.0')] ).
cnf(36539,plain,
equal(xor__dfg(n6,and__dfg(n4,n6)),xor__dfg(n3,xor__dfg(n4,n6))),
inference(rew,[status(thm),theory(equality)],[1,36492,33477,16,14,9,11]),
[iquote('0:Rew:1.0,36492.0,33477.0,36492.0,16.0,36492.0,14.0,36492.0,16.0,36492.0,9.0,36492.0,11.0,36492.0,11.0,36492.0')] ).
cnf(36747,plain,
equal(and__dfg(n4,n6),xor__dfg(n6,xor__dfg(n3,xor__dfg(n4,n6)))),
inference(spr,[status(thm),theory(equality)],[36539,4]),
[iquote('0:SpR:36539.0,4.0')] ).
cnf(36762,plain,
equal(and__dfg(n4,n6),n15),
inference(rew,[status(thm),theory(equality)],[35683,36747,569]),
[iquote('0:Rew:35683.0,36747.0,569.0,36747.0')] ).
cnf(36800,plain,
equal(and__dfg(n4,and__dfg(u,n15)),and__dfg(u,n15)),
inference(spr,[status(thm),theory(equality)],[36762,402]),
[iquote('0:SpR:36762.0,402.0')] ).
cnf(36824,plain,
equal(and__dfg(n4,xor__dfg(and__dfg(u,n3),and__dfg(u,n4))),xor__dfg(and__dfg(u,n3),and__dfg(u,n4))),
inference(rew,[status(thm),theory(equality)],[36036,36800]),
[iquote('0:Rew:36036.0,36800.0')] ).
cnf(36825,plain,
equal(xor__dfg(and__dfg(n3,and__dfg(n4,u)),and__dfg(u,n4)),xor__dfg(and__dfg(u,n3),and__dfg(u,n4))),
inference(rew,[status(thm),theory(equality)],[436,36824,372,11]),
[iquote('0:Rew:436.0,36824.0,372.0,36824.0,11.0,36824.0')] ).
cnf(36826,plain,
equal(xor__dfg(and__dfg(n4,u),and__dfg(n3,and__dfg(n4,u))),xor__dfg(and__dfg(u,n3),and__dfg(u,n4))),
inference(rew,[status(thm),theory(equality)],[26631,36825]),
[iquote('0:Rew:26631.0,36825.0')] ).
cnf(36897,plain,
equal(xor__dfg(xor__dfg(n2,n11),n0),a1),
inference(spr,[status(thm),theory(equality)],[33284,161]),
[iquote('0:SpR:33284.0,161.0')] ).
cnf(36898,plain,
equal(xor__dfg(xor__dfg(n2,n11),xor__dfg(a1,u)),xor__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[33284,4387]),
[iquote('0:SpR:33284.0,4387.0')] ).
cnf(36906,plain,
equal(xor__dfg(n2,n0),xor__dfg(a1,n11)),
inference(spr,[status(thm),theory(equality)],[33284,541]),
[iquote('0:SpR:33284.0,541.0')] ).
cnf(36913,plain,
equal(xor__dfg(n11,n0),xor__dfg(a1,n2)),
inference(spr,[status(thm),theory(equality)],[33284,569]),
[iquote('0:SpR:33284.0,569.0')] ).
cnf(36917,plain,
equal(xor__dfg(n2,n11),a1),
inference(rew,[status(thm),theory(equality)],[1,36897,14,4335]),
[iquote('0:Rew:1.0,36897.0,14.0,36897.0,4335.0,36897.0')] ).
cnf(36920,plain,
equal(xor__dfg(a1,n11),n2),
inference(rew,[status(thm),theory(equality)],[1,36906,14]),
[iquote('0:Rew:1.0,36906.0,14.0,36906.0')] ).
cnf(36921,plain,
equal(xor__dfg(a1,n2),n11),
inference(rew,[status(thm),theory(equality)],[1,36913,14]),
[iquote('0:Rew:1.0,36913.0,14.0,36913.0')] ).
cnf(36922,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,u))),u),
inference(rew,[status(thm),theory(equality)],[15,36898,4335,2]),
[iquote('0:Rew:15.0,36898.0,15.0,36898.0,4335.0,36898.0,2.0,36898.0')] ).
cnf(36923,plain,
equal(and__dfg(i3,n3),xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3))))),
inference(rew,[status(thm),theory(equality)],[36922,29943]),
[iquote('0:Rew:36922.0,29943.0')] ).
cnf(36947,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n7,xor__dfg(n11,xor__dfg(n25,xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3))))))))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[36923,18632]),
[iquote('0:Rew:36923.0,18632.0')] ).
cnf(36949,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n11,xor__dfg(n25,xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3)))))))),n0),
inference(rew,[status(thm),theory(equality)],[36923,33407]),
[iquote('0:Rew:36923.0,33407.0')] ).
cnf(36960,plain,
equal(xor__dfg(xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3)))),and__dfg(i3,n4)),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[36923,32960]),
[iquote('0:Rew:36923.0,32960.0')] ).
cnf(36967,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(inv1,n11),xor__dfg(and__dfg(n2,n3),and__dfg(i3,n4))))),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[4335,36960]),
[iquote('0:Rew:4335.0,36960.0,4335.0,36960.0,4335.0,36960.0')] ).
cnf(36969,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n11,xor__dfg(n25,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3)))))),n0),
inference(rew,[status(thm),theory(equality)],[4,36949,546]),
[iquote('0:Rew:4.0,36949.0,546.0,36949.0,546.0,36949.0,546.0,36949.0')] ).
cnf(36971,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n7,xor__dfg(n11,xor__dfg(n25,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3))))))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[4,36947,546]),
[iquote('0:Rew:4.0,36947.0,546.0,36947.0,546.0,36947.0,546.0,36947.0,546.0,36947.0')] ).
cnf(37005,plain,
equal(xor__dfg(n2,xor__dfg(n11,u)),xor__dfg(a1,u)),
inference(spr,[status(thm),theory(equality)],[36917,4335]),
[iquote('0:SpR:36917.0,4335.0')] ).
cnf(37021,plain,
equal(xor__dfg(a1,xor__dfg(and__dfg(a1,n21),and__dfg(a1,n8))),xor__dfg(and__dfg(a1,n3),and__dfg(a1,n8))),
inference(rew,[status(thm),theory(equality)],[37005,33586]),
[iquote('0:Rew:37005.0,33586.0')] ).
cnf(37022,plain,
equal(xor__dfg(a1,and__dfg(a1,n3)),n0),
inference(rew,[status(thm),theory(equality)],[37005,33358]),
[iquote('0:Rew:37005.0,33358.0')] ).
cnf(37093,plain,
equal(xor__dfg(and__dfg(n23,n3),and__dfg(n23,n4)),and__dfg(n15,and__dfg(i3,and__dfg(i1,n6)))),
inference(spr,[status(thm),theory(equality)],[3185,36059]),
[iquote('0:SpR:3185.0,36059.0')] ).
cnf(37149,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(n3,i1)),and__dfg(i3,and__dfg(n4,i1))),and__dfg(i3,n15)),
inference(rew,[status(thm),theory(equality)],[432,37093,16,378,427,55,1554]),
[iquote('0:Rew:432.0,37093.0,16.0,37093.0,432.0,37093.0,16.0,37093.0,378.0,37093.0,427.0,37093.0,55.0,37093.0,1554.0,37093.0,16.0,37093.0')] ).
cnf(37150,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(n3,i1)),and__dfg(i3,and__dfg(n4,i1))),xor__dfg(xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3)))),and__dfg(i3,n4))),
inference(rew,[status(thm),theory(equality)],[36923,37149,36036]),
[iquote('0:Rew:36923.0,37149.0,36036.0,37149.0')] ).
cnf(37151,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(n3,i1)),and__dfg(i3,and__dfg(n4,i1))),xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(inv1,n11),xor__dfg(and__dfg(n2,n3),and__dfg(i3,n4)))))),
inference(rew,[status(thm),theory(equality)],[4335,37150]),
[iquote('0:Rew:4335.0,37150.0,4335.0,37150.0,4335.0,37150.0')] ).
cnf(37152,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(n3,i1)),and__dfg(i3,and__dfg(n4,i1))),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[36967,37151]),
[iquote('0:Rew:36967.0,37151.0')] ).
cnf(37222,plain,
equal(xor__dfg(a1,xor__dfg(u,n2)),xor__dfg(u,n11)),
inference(spr,[status(thm),theory(equality)],[36920,541]),
[iquote('0:SpR:36920.0,541.0')] ).
cnf(37251,plain,
equal(xor__dfg(n11,u),xor__dfg(a1,xor__dfg(n2,u))),
inference(spr,[status(thm),theory(equality)],[36921,4335]),
[iquote('0:SpR:36921.0,4335.0')] ).
cnf(37258,plain,
equal(and__dfg(u,n11),xor__dfg(and__dfg(u,a1),and__dfg(u,n2))),
inference(spr,[status(thm),theory(equality)],[36921,11]),
[iquote('0:SpR:36921.0,11.0')] ).
cnf(37267,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(a1,xor__dfg(n2,xor__dfg(n25,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3))))))),n0),
inference(rew,[status(thm),theory(equality)],[37251,36969]),
[iquote('0:Rew:37251.0,36969.0')] ).
cnf(37268,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n7,xor__dfg(a1,xor__dfg(n2,xor__dfg(n25,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3)))))))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[37251,36971]),
[iquote('0:Rew:37251.0,36971.0')] ).
cnf(37273,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(o1,n9),xor__dfg(and__dfg(a1,n21),and__dfg(n2,n21))))),xor__dfg(n11,xor__dfg(n12,n16))),
inference(rew,[status(thm),theory(equality)],[37251,27125]),
[iquote('0:Rew:37251.0,27125.0')] ).
cnf(37282,plain,
equal(xor__dfg(and__dfg(n9,a1),and__dfg(n9,n2)),and__dfg(o1,n9)),
inference(rew,[status(thm),theory(equality)],[37258,27086]),
[iquote('0:Rew:37258.0,27086.0')] ).
cnf(37294,plain,
equal(and__dfg(i3,n3),xor__dfg(a1,xor__dfg(n2,xor__dfg(xor__dfg(and__dfg(inv1,a1),and__dfg(inv1,n2)),and__dfg(n2,n3))))),
inference(rew,[status(thm),theory(equality)],[37258,36923]),
[iquote('0:Rew:37258.0,36923.0')] ).
cnf(37298,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(xor__dfg(and__dfg(inv1,a1),and__dfg(inv1,n2)),xor__dfg(and__dfg(n2,n3),and__dfg(i3,n4))))),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[37258,36967]),
[iquote('0:Rew:37258.0,36967.0')] ).
cnf(37333,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(a1,n21),and__dfg(n2,n21)))),and__dfg(o1,n9)),
inference(rew,[status(thm),theory(equality)],[15,37282,4335,2739,16,2765]),
[iquote('0:Rew:15.0,37282.0,4335.0,37282.0,2739.0,37282.0,16.0,37282.0,2765.0,37282.0,16.0,37282.0')] ).
cnf(37363,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n25,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3))))),n0),
inference(rew,[status(thm),theory(equality)],[4,37267,546]),
[iquote('0:Rew:4.0,37267.0,546.0,37267.0,546.0,37267.0')] ).
cnf(37364,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n25,xor__dfg(xor__dfg(and__dfg(inv1,a1),and__dfg(inv1,n2)),and__dfg(n2,n3))))),n0),
inference(rew,[status(thm),theory(equality)],[37258,37363]),
[iquote('0:Rew:37258.0,37363.0')] ).
cnf(37365,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n11,xor__dfg(n25,and__dfg(n2,n3))))),n0),
inference(rew,[status(thm),theory(equality)],[15,37364,36921,379,16,363]),
[iquote('0:Rew:15.0,37364.0,36921.0,37364.0,379.0,37364.0,16.0,37364.0,363.0,37364.0')] ).
cnf(37366,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,and__dfg(n2,n3)))))),n0),
inference(rew,[status(thm),theory(equality)],[4420,37365,8268,37251]),
[iquote('0:Rew:4420.0,37365.0,8268.0,37365.0,37251.0,37365.0')] ).
cnf(37367,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,and__dfg(n2,n3)))),n0),
inference(rew,[status(thm),theory(equality)],[4,37366]),
[iquote('0:Rew:4.0,37366.0')] ).
cnf(37371,plain,
equal(and__dfg(i3,n3),xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,and__dfg(n2,n3))))),
inference(rew,[status(thm),theory(equality)],[36921,37294,379,16,363]),
[iquote('0:Rew:36921.0,37294.0,379.0,37294.0,16.0,37294.0,363.0,37294.0')] ).
cnf(37372,plain,
equal(and__dfg(i3,n3),xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n2,and__dfg(n2,n3)))))),
inference(rew,[status(thm),theory(equality)],[4420,37371,37251]),
[iquote('0:Rew:4420.0,37371.0,37251.0,37371.0')] ).
cnf(37373,plain,
equal(and__dfg(i3,n3),and__dfg(n2,n3)),
inference(rew,[status(thm),theory(equality)],[4,37372]),
[iquote('0:Rew:4.0,37372.0,4.0,37372.0')] ).
cnf(37378,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(o1,n9),xor__dfg(and__dfg(a1,n21),and__dfg(n2,n21))))),xor__dfg(a1,xor__dfg(n2,xor__dfg(n12,n16)))),
inference(rew,[status(thm),theory(equality)],[37251,37273]),
[iquote('0:Rew:37251.0,37273.0')] ).
cnf(37385,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n7,xor__dfg(n25,xor__dfg(and__dfg(inv1,n11),and__dfg(n2,n3)))))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[4,37268,546]),
[iquote('0:Rew:4.0,37268.0,546.0,37268.0,546.0,37268.0,546.0,37268.0')] ).
cnf(37386,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n7,xor__dfg(n25,xor__dfg(xor__dfg(and__dfg(inv1,a1),and__dfg(inv1,n2)),and__dfg(n2,n3)))))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[37258,37385]),
[iquote('0:Rew:37258.0,37385.0')] ).
cnf(37387,plain,
equal(xor__dfg(a1,xor__dfg(n24,xor__dfg(n7,xor__dfg(n11,xor__dfg(n25,and__dfg(n2,n3)))))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[15,37386,36921,379,16,363]),
[iquote('0:Rew:15.0,37386.0,36921.0,37386.0,379.0,37386.0,16.0,37386.0,363.0,37386.0')] ).
cnf(37388,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n24,xor__dfg(n7,xor__dfg(n25,and__dfg(n2,n3))))))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[8268,37387,37251]),
[iquote('0:Rew:8268.0,37387.0,8268.0,37387.0,37251.0,37387.0')] ).
cnf(37389,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n7,xor__dfg(n25,and__dfg(n2,n3))))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[4,37388]),
[iquote('0:Rew:4.0,37388.0')] ).
cnf(37394,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n11,xor__dfg(and__dfg(n2,n3),and__dfg(i3,n4))))),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[36921,37298,379,16,363]),
[iquote('0:Rew:36921.0,37298.0,379.0,37298.0,16.0,37298.0,363.0,37298.0')] ).
cnf(37395,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n2,xor__dfg(and__dfg(n2,n3),and__dfg(i3,n4)))))),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[4420,37394,37251]),
[iquote('0:Rew:4420.0,37394.0,37251.0,37394.0')] ).
cnf(37396,plain,
equal(xor__dfg(and__dfg(n2,n3),and__dfg(i3,n4)),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[4,37395]),
[iquote('0:Rew:4.0,37395.0,4.0,37395.0')] ).
cnf(37466,plain,
equal(xor__dfg(xor__dfg(n24,n25),n0),n2),
inference(spr,[status(thm),theory(equality)],[33298,161]),
[iquote('0:SpR:33298.0,161.0')] ).
cnf(37467,plain,
equal(xor__dfg(xor__dfg(n24,n25),xor__dfg(n2,u)),xor__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[33298,4387]),
[iquote('0:SpR:33298.0,4387.0')] ).
cnf(37475,plain,
equal(xor__dfg(n24,n0),xor__dfg(n2,n25)),
inference(spr,[status(thm),theory(equality)],[33298,541]),
[iquote('0:SpR:33298.0,541.0')] ).
cnf(37481,plain,
equal(xor__dfg(n24,xor__dfg(u,xor__dfg(n2,n25))),xor__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[33298,546]),
[iquote('0:SpR:33298.0,546.0')] ).
cnf(37483,plain,
equal(xor__dfg(n25,n0),xor__dfg(n2,n24)),
inference(spr,[status(thm),theory(equality)],[33298,569]),
[iquote('0:SpR:33298.0,569.0')] ).
cnf(37486,plain,
equal(xor__dfg(n24,n25),n2),
inference(rew,[status(thm),theory(equality)],[1,37466,14,4335]),
[iquote('0:Rew:1.0,37466.0,14.0,37466.0,4335.0,37466.0')] ).
cnf(37489,plain,
equal(xor__dfg(n2,n25),n24),
inference(rew,[status(thm),theory(equality)],[1,37475,14]),
[iquote('0:Rew:1.0,37475.0,14.0,37475.0')] ).
cnf(37490,plain,
equal(xor__dfg(n2,n24),n25),
inference(rew,[status(thm),theory(equality)],[1,37483,14]),
[iquote('0:Rew:1.0,37483.0,14.0,37483.0')] ).
cnf(37491,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n25,u))),u),
inference(rew,[status(thm),theory(equality)],[15,37467,4335,2]),
[iquote('0:Rew:15.0,37467.0,15.0,37467.0,4335.0,37467.0,2.0,37467.0')] ).
cnf(37492,plain,
equal(and__dfg(n2,n3),n0),
inference(rew,[status(thm),theory(equality)],[37491,37367]),
[iquote('0:Rew:37491.0,37367.0')] ).
cnf(37493,plain,
equal(and__dfg(i3,and__dfg(i1,and__dfg(n9,n18))),xor__dfg(n18,xor__dfg(n19,n25))),
inference(rew,[status(thm),theory(equality)],[37491,18926]),
[iquote('0:Rew:37491.0,18926.0')] ).
cnf(37495,plain,
equal(and__dfg(n2,n4),n0),
inference(rew,[status(thm),theory(equality)],[37492,25800]),
[iquote('0:Rew:37492.0,25800.0')] ).
cnf(37496,plain,
equal(xor__dfg(and__dfg(inv1,n3),xor__dfg(and__dfg(inv1,n8),n0)),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[37492,23694]),
[iquote('0:Rew:37492.0,23694.0')] ).
cnf(37497,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n7,xor__dfg(n9,n0)))),n0),
inference(rew,[status(thm),theory(equality)],[37492,33411]),
[iquote('0:Rew:37492.0,33411.0')] ).
cnf(37500,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n7,xor__dfg(n25,n0)))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[37492,37389]),
[iquote('0:Rew:37492.0,37389.0')] ).
cnf(37502,plain,
equal(and__dfg(i3,n3),n0),
inference(rew,[status(thm),theory(equality)],[37492,37373]),
[iquote('0:Rew:37492.0,37373.0')] ).
cnf(37506,plain,
equal(xor__dfg(n0,and__dfg(i3,n4)),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[37492,37396]),
[iquote('0:Rew:37492.0,37396.0')] ).
cnf(37512,plain,
equal(and__dfg(i3,n4),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[1,37506]),
[iquote('0:Rew:1.0,37506.0')] ).
cnf(37528,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(u,n25))),u),
inference(rew,[status(thm),theory(equality)],[546,37481,2]),
[iquote('0:Rew:546.0,37481.0,2.0,37481.0')] ).
cnf(37531,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n7,n9))),n0),
inference(rew,[status(thm),theory(equality)],[1,37497,14]),
[iquote('0:Rew:1.0,37497.0,14.0,37497.0')] ).
cnf(37536,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n7,n25))),xor__dfg(n3,n8)),
inference(rew,[status(thm),theory(equality)],[1,37500,14]),
[iquote('0:Rew:1.0,37500.0,14.0,37500.0')] ).
cnf(37537,plain,
equal(xor__dfg(n3,n8),n7),
inference(rew,[status(thm),theory(equality)],[37528,37536]),
[iquote('0:Rew:37528.0,37536.0')] ).
cnf(37538,plain,
equal(xor__dfg(n24,n10),n7),
inference(rew,[status(thm),theory(equality)],[37537,20382]),
[iquote('0:Rew:37537.0,20382.0')] ).
cnf(37539,plain,
equal(xor__dfg(n24,xor__dfg(u,n10)),xor__dfg(u,n7)),
inference(rew,[status(thm),theory(equality)],[37537,20666]),
[iquote('0:Rew:37537.0,20666.0')] ).
cnf(37543,plain,
equal(xor__dfg(n3,xor__dfg(u,n7)),xor__dfg(u,n8)),
inference(rew,[status(thm),theory(equality)],[37539,20703]),
[iquote('0:Rew:37539.0,20703.0')] ).
cnf(37558,plain,
equal(xor__dfg(and__dfg(inv1,n3),and__dfg(inv1,n8)),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[1,37496,14]),
[iquote('0:Rew:1.0,37496.0,14.0,37496.0')] ).
cnf(37559,plain,
equal(xor__dfg(and__dfg(a1,n3),and__dfg(a1,n8)),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[29700,37558]),
[iquote('0:Rew:29700.0,37558.0')] ).
cnf(37560,plain,
equal(xor__dfg(and__dfg(inv1,n3),and__dfg(inv1,n8)),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[37559,29700]),
[iquote('0:Rew:37559.0,29700.0')] ).
cnf(37562,plain,
equal(xor__dfg(a1,xor__dfg(and__dfg(a1,n21),and__dfg(a1,n8))),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[37559,37021]),
[iquote('0:Rew:37559.0,37021.0')] ).
cnf(37590,plain,
equal(xor__dfg(n24,xor__dfg(u,n2)),xor__dfg(u,n25)),
inference(spr,[status(thm),theory(equality)],[37486,541]),
[iquote('0:SpR:37486.0,541.0')] ).
cnf(37605,plain,
equal(xor__dfg(n2,xor__dfg(n24,u)),xor__dfg(u,n25)),
inference(rew,[status(thm),theory(equality)],[564,37590]),
[iquote('0:Rew:564.0,37590.0')] ).
cnf(37610,plain,
equal(and__dfg(i3,and__dfg(i1,and__dfg(n9,n18))),xor__dfg(n18,xor__dfg(n2,xor__dfg(n24,n19)))),
inference(rew,[status(thm),theory(equality)],[37605,37493]),
[iquote('0:Rew:37605.0,37493.0')] ).
cnf(37627,plain,
equal(and__dfg(i3,and__dfg(i1,and__dfg(n9,n18))),xor__dfg(n2,xor__dfg(n24,xor__dfg(n18,n19)))),
inference(rew,[status(thm),theory(equality)],[546,37610]),
[iquote('0:Rew:546.0,37610.0')] ).
cnf(38056,plain,
equal(xor__dfg(n2,xor__dfg(u,n24)),xor__dfg(u,n25)),
inference(spr,[status(thm),theory(equality)],[37489,541]),
[iquote('0:SpR:37489.0,541.0')] ).
cnf(38085,plain,
equal(xor__dfg(n25,u),xor__dfg(n2,xor__dfg(n24,u))),
inference(spr,[status(thm),theory(equality)],[37490,4335]),
[iquote('0:SpR:37490.0,4335.0')] ).
cnf(38088,plain,
equal(xor__dfg(n2,xor__dfg(u,xor__dfg(v,n24))),xor__dfg(u,xor__dfg(v,n25))),
inference(spr,[status(thm),theory(equality)],[37490,546]),
[iquote('0:SpR:37490.0,546.0')] ).
cnf(38092,plain,
equal(and__dfg(u,n25),xor__dfg(and__dfg(u,n2),and__dfg(u,n24))),
inference(spr,[status(thm),theory(equality)],[37490,11]),
[iquote('0:SpR:37490.0,11.0')] ).
cnf(38107,plain,
equal(and__dfg(n9,n18),xor__dfg(and__dfg(n9,n2),and__dfg(n9,n24))),
inference(rew,[status(thm),theory(equality)],[38092,16238]),
[iquote('0:Rew:38092.0,16238.0')] ).
cnf(38163,plain,
equal(and__dfg(n9,n18),xor__dfg(n2,xor__dfg(n24,xor__dfg(and__dfg(n2,n21),and__dfg(n24,n21))))),
inference(rew,[status(thm),theory(equality)],[15,38107,4335,2765,16,2752]),
[iquote('0:Rew:15.0,38107.0,4335.0,38107.0,2765.0,38107.0,16.0,38107.0,2752.0,38107.0,16.0,38107.0')] ).
cnf(38164,plain,
equal(and__dfg(i3,and__dfg(i1,xor__dfg(n2,xor__dfg(n24,xor__dfg(and__dfg(n2,n21),and__dfg(n24,n21)))))),xor__dfg(n2,xor__dfg(n24,xor__dfg(n18,n19)))),
inference(rew,[status(thm),theory(equality)],[38163,37627]),
[iquote('0:Rew:38163.0,37627.0')] ).
cnf(38230,plain,
equal(and__dfg(i3,and__dfg(n24,n21)),xor__dfg(n2,xor__dfg(n24,xor__dfg(n18,n19)))),
inference(rew,[status(thm),theory(equality)],[1,38164,33302,11,33300,16,1715,5,3154]),
[iquote('0:Rew:1.0,38164.0,33302.0,38164.0,11.0,38164.0,1.0,38164.0,33300.0,38164.0,16.0,38164.0,1715.0,38164.0,16.0,38164.0,1.0,38164.0,5.0,38164.0,16.0,38164.0,33300.0,38164.0,3154.0,38164.0,16.0,38164.0,1715.0,38164.0,3154.0,38164.0,11.0,38164.0,11.0,38164.0,11.0,38164.0')] ).
cnf(38231,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n18,n19))),n0),
inference(rew,[status(thm),theory(equality)],[33336,38230]),
[iquote('0:Rew:33336.0,38230.0')] ).
cnf(38279,plain,
equal(and__dfg(n3,and__dfg(n2,u)),and__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[37492,3154]),
[iquote('0:SpR:37492.0,3154.0')] ).
cnf(38300,plain,
equal(and__dfg(n2,and__dfg(n3,u)),n0),
inference(rew,[status(thm),theory(equality)],[17,38279,6]),
[iquote('0:Rew:17.0,38279.0,6.0,38279.0')] ).
cnf(38301,plain,
equal(and__dfg(n2,and__dfg(n4,u)),n0),
inference(rew,[status(thm),theory(equality)],[38300,25850]),
[iquote('0:Rew:38300.0,25850.0')] ).
cnf(38385,plain,
equal(xor__dfg(xor__dfg(n18,n19),n0),xor__dfg(n2,n24)),
inference(spr,[status(thm),theory(equality)],[38231,569]),
[iquote('0:SpR:38231.0,569.0')] ).
cnf(38393,plain,
equal(xor__dfg(n18,n19),n25),
inference(rew,[status(thm),theory(equality)],[1,38385,14,4335,37490]),
[iquote('0:Rew:1.0,38385.0,14.0,38385.0,4335.0,38385.0,37490.0,38385.0')] ).
cnf(38428,plain,
equal(and__dfg(n3,and__dfg(i3,u)),and__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[37502,3154]),
[iquote('0:SpR:37502.0,3154.0')] ).
cnf(38453,plain,
equal(and__dfg(i3,and__dfg(n3,u)),n0),
inference(rew,[status(thm),theory(equality)],[17,38428,6]),
[iquote('0:Rew:17.0,38428.0,6.0,38428.0')] ).
cnf(38454,plain,
equal(xor__dfg(n0,and__dfg(i3,and__dfg(n4,i1))),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[38453,37152]),
[iquote('0:Rew:38453.0,37152.0')] ).
cnf(38463,plain,
equal(and__dfg(i3,and__dfg(n4,i1)),and__dfg(i2,n19)),
inference(rew,[status(thm),theory(equality)],[1,38454]),
[iquote('0:Rew:1.0,38454.0')] ).
cnf(38495,plain,
equal(xor__dfg(n3,n7),n8),
inference(spr,[status(thm),theory(equality)],[37537,4]),
[iquote('0:SpR:37537.0,4.0')] ).
cnf(38498,plain,
equal(xor__dfg(n3,xor__dfg(n8,u)),xor__dfg(n7,u)),
inference(spr,[status(thm),theory(equality)],[37537,4335]),
[iquote('0:SpR:37537.0,4335.0')] ).
cnf(38505,plain,
equal(xor__dfg(and__dfg(u,n3),and__dfg(u,n8)),and__dfg(u,n7)),
inference(spr,[status(thm),theory(equality)],[37537,11]),
[iquote('0:SpR:37537.0,11.0')] ).
cnf(38519,plain,
equal(xor__dfg(n7,xor__dfg(n10,u)),xor__dfg(u,n24)),
inference(rew,[status(thm),theory(equality)],[38498,20682]),
[iquote('0:Rew:38498.0,20682.0')] ).
cnf(38533,plain,
equal(and__dfg(inv1,n7),xor__dfg(n2,xor__dfg(n8,n9))),
inference(rew,[status(thm),theory(equality)],[38505,37560]),
[iquote('0:Rew:38505.0,37560.0')] ).
cnf(38535,plain,
equal(xor__dfg(n2,xor__dfg(n8,n9)),n0),
inference(rew,[status(thm),theory(equality)],[33397,38533]),
[iquote('0:Rew:33397.0,38533.0')] ).
cnf(38537,plain,
equal(xor__dfg(n2,xor__dfg(n8,xor__dfg(n9,and__dfg(n2,n21)))),n0),
inference(rew,[status(thm),theory(equality)],[38535,4430]),
[iquote('0:Rew:38535.0,4430.0')] ).
cnf(38541,plain,
equal(xor__dfg(a1,xor__dfg(and__dfg(a1,n21),and__dfg(a1,n8))),n0),
inference(rew,[status(thm),theory(equality)],[38535,37562]),
[iquote('0:Rew:38535.0,37562.0')] ).
cnf(38560,plain,
equal(xor__dfg(n24,n7),n10),
inference(spr,[status(thm),theory(equality)],[37538,4]),
[iquote('0:SpR:37538.0,4.0')] ).
cnf(38684,plain,
equal(xor__dfg(n19,n25),n18),
inference(spr,[status(thm),theory(equality)],[38393,161]),
[iquote('0:SpR:38393.0,161.0')] ).
cnf(38686,plain,
equal(xor__dfg(n18,n25),n19),
inference(spr,[status(thm),theory(equality)],[38393,4]),
[iquote('0:SpR:38393.0,4.0')] ).
cnf(38691,plain,
equal(xor__dfg(n18,xor__dfg(u,n25)),xor__dfg(u,n19)),
inference(spr,[status(thm),theory(equality)],[38393,541]),
[iquote('0:SpR:38393.0,541.0')] ).
cnf(38700,plain,
equal(xor__dfg(n2,xor__dfg(n7,xor__dfg(n10,n19))),n18),
inference(rew,[status(thm),theory(equality)],[38519,38684,38056]),
[iquote('0:Rew:38519.0,38684.0,38056.0,38684.0')] ).
cnf(38701,plain,
equal(xor__dfg(n2,xor__dfg(n7,xor__dfg(n10,n18))),n19),
inference(rew,[status(thm),theory(equality)],[38519,38686,38056]),
[iquote('0:Rew:38519.0,38686.0,38056.0,38686.0')] ).
cnf(38708,plain,
equal(xor__dfg(n2,xor__dfg(n24,xor__dfg(n18,u))),xor__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[4414,38691,38088]),
[iquote('0:Rew:4414.0,38691.0,38088.0,38691.0')] ).
cnf(38727,plain,
equal(xor__dfg(n8,u),xor__dfg(n3,xor__dfg(n7,u))),
inference(spr,[status(thm),theory(equality)],[38495,4335]),
[iquote('0:SpR:38495.0,4335.0')] ).
cnf(38734,plain,
equal(and__dfg(u,n8),xor__dfg(and__dfg(u,n3),and__dfg(u,n7))),
inference(spr,[status(thm),theory(equality)],[38495,11]),
[iquote('0:SpR:38495.0,11.0')] ).
cnf(38748,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n7,xor__dfg(n9,and__dfg(n2,n21))))),n0),
inference(rew,[status(thm),theory(equality)],[38727,38537]),
[iquote('0:Rew:38727.0,38537.0')] ).
cnf(38761,plain,
equal(xor__dfg(a1,xor__dfg(and__dfg(a1,n21),xor__dfg(and__dfg(a1,n3),and__dfg(a1,n7)))),n0),
inference(rew,[status(thm),theory(equality)],[38734,38541]),
[iquote('0:Rew:38734.0,38541.0')] ).
cnf(38825,plain,
equal(xor__dfg(a1,xor__dfg(and__dfg(a1,n3),and__dfg(a1,n21))),n0),
inference(rew,[status(thm),theory(equality)],[14,38761,1,33400]),
[iquote('0:Rew:14.0,38761.0,1.0,38761.0,14.0,38761.0,33400.0,38761.0')] ).
cnf(38870,plain,
equal(xor__dfg(n10,u),xor__dfg(n24,xor__dfg(n7,u))),
inference(spr,[status(thm),theory(equality)],[38560,4335]),
[iquote('0:SpR:38560.0,4335.0')] ).
cnf(38884,plain,
equal(xor__dfg(n2,xor__dfg(n7,xor__dfg(n24,xor__dfg(n7,n18)))),n19),
inference(rew,[status(thm),theory(equality)],[38870,38701]),
[iquote('0:Rew:38870.0,38701.0')] ).
cnf(38885,plain,
equal(xor__dfg(n2,xor__dfg(n7,xor__dfg(n24,xor__dfg(n7,n19)))),n18),
inference(rew,[status(thm),theory(equality)],[38870,38700]),
[iquote('0:Rew:38870.0,38700.0')] ).
cnf(38911,plain,
equal(xor__dfg(n2,xor__dfg(n24,n18)),n19),
inference(rew,[status(thm),theory(equality)],[4,38884,546]),
[iquote('0:Rew:4.0,38884.0,546.0,38884.0')] ).
cnf(38912,plain,
equal(xor__dfg(n2,xor__dfg(n24,n19)),n18),
inference(rew,[status(thm),theory(equality)],[4,38885,546]),
[iquote('0:Rew:4.0,38885.0,546.0,38885.0')] ).
cnf(39120,plain,
equal(and__dfg(i3,and__dfg(n21,and__dfg(n9,n6))),n0),
inference(spr,[status(thm),theory(equality)],[1404,2598]),
[iquote('0:SpR:1404.0,2598.0')] ).
cnf(39202,plain,
equal(xor__dfg(and__dfg(o3,i3),xor__dfg(and__dfg(n2,n21),xor__dfg(and__dfg(i3,n4),and__dfg(i3,and__dfg(n3,n21))))),n0),
inference(rew,[status(thm),theory(equality)],[16,39120,15,2268,11,4335,4387,1,14,1002,32578,36043]),
[iquote('0:Rew:16.0,39120.0,15.0,39120.0,2268.0,39120.0,11.0,39120.0,11.0,39120.0,11.0,39120.0,15.0,39120.0,15.0,39120.0,4335.0,39120.0,4387.0,39120.0,16.0,39120.0,1.0,39120.0,14.0,39120.0,4335.0,39120.0,4335.0,39120.0,1002.0,39120.0,16.0,39120.0,32578.0,39120.0,11.0,39120.0,11.0,39120.0,36043.0,39120.0,16.0,39120.0')] ).
cnf(39203,plain,
equal(xor__dfg(and__dfg(o3,i3),xor__dfg(n0,xor__dfg(and__dfg(i2,n19),and__dfg(n2,n21)))),n0),
inference(rew,[status(thm),theory(equality)],[8268,39202,8325,37512,38453]),
[iquote('0:Rew:8268.0,39202.0,8325.0,39202.0,37512.0,39202.0,38453.0,39202.0')] ).
cnf(39204,plain,
equal(xor__dfg(and__dfg(o3,i3),xor__dfg(and__dfg(i2,n19),and__dfg(n2,n21))),n0),
inference(rew,[status(thm),theory(equality)],[1,39203]),
[iquote('0:Rew:1.0,39203.0')] ).
cnf(39362,plain,
equal(xor__dfg(xor__dfg(n3,n24),n0),a1),
inference(spr,[status(thm),theory(equality)],[33470,161]),
[iquote('0:SpR:33470.0,161.0')] ).
cnf(39371,plain,
equal(xor__dfg(n3,n0),xor__dfg(a1,n24)),
inference(spr,[status(thm),theory(equality)],[33470,541]),
[iquote('0:SpR:33470.0,541.0')] ).
cnf(39378,plain,
equal(xor__dfg(n24,n0),xor__dfg(a1,n3)),
inference(spr,[status(thm),theory(equality)],[33470,569]),
[iquote('0:SpR:33470.0,569.0')] ).
cnf(39382,plain,
equal(xor__dfg(n3,n24),a1),
inference(rew,[status(thm),theory(equality)],[1,39362,14,4335]),
[iquote('0:Rew:1.0,39362.0,14.0,39362.0,4335.0,39362.0')] ).
cnf(39385,plain,
equal(xor__dfg(a1,n24),n3),
inference(rew,[status(thm),theory(equality)],[1,39371,14]),
[iquote('0:Rew:1.0,39371.0,14.0,39371.0')] ).
cnf(39386,plain,
equal(xor__dfg(a1,n3),n24),
inference(rew,[status(thm),theory(equality)],[1,39378,14]),
[iquote('0:Rew:1.0,39378.0,14.0,39378.0')] ).
cnf(39427,plain,
equal(xor__dfg(n3,xor__dfg(n24,u)),xor__dfg(a1,u)),
inference(spr,[status(thm),theory(equality)],[39382,4335]),
[iquote('0:SpR:39382.0,4335.0')] ).
cnf(39444,plain,
equal(xor__dfg(a1,and__dfg(i2,n3)),n0),
inference(rew,[status(thm),theory(equality)],[39427,33483]),
[iquote('0:Rew:39427.0,33483.0')] ).
cnf(39468,plain,
equal(xor__dfg(a1,xor__dfg(u,n3)),xor__dfg(u,n24)),
inference(spr,[status(thm),theory(equality)],[39385,541]),
[iquote('0:SpR:39385.0,541.0')] ).
cnf(39483,plain,
equal(xor__dfg(a1,xor__dfg(n2,n3)),n25),
inference(rew,[status(thm),theory(equality)],[39468,37490]),
[iquote('0:Rew:39468.0,37490.0')] ).
cnf(39497,plain,
equal(xor__dfg(n24,u),xor__dfg(a1,xor__dfg(n3,u))),
inference(spr,[status(thm),theory(equality)],[39386,4335]),
[iquote('0:SpR:39386.0,4335.0')] ).
cnf(39500,plain,
equal(xor__dfg(a1,xor__dfg(u,xor__dfg(v,n3))),xor__dfg(u,xor__dfg(v,n24))),
inference(spr,[status(thm),theory(equality)],[39386,546]),
[iquote('0:SpR:39386.0,546.0')] ).
cnf(39504,plain,
equal(and__dfg(u,n24),xor__dfg(and__dfg(u,a1),and__dfg(u,n3))),
inference(spr,[status(thm),theory(equality)],[39386,11]),
[iquote('0:SpR:39386.0,11.0')] ).
cnf(39513,plain,
equal(and__dfg(i3,and__dfg(i1,n9)),xor__dfg(a1,xor__dfg(n3,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19)))))),
inference(rew,[status(thm),theory(equality)],[39497,32660]),
[iquote('0:Rew:39497.0,32660.0')] ).
cnf(39515,plain,
equal(xor__dfg(n2,xor__dfg(a1,xor__dfg(n3,n19))),n18),
inference(rew,[status(thm),theory(equality)],[39497,38912]),
[iquote('0:Rew:39497.0,38912.0')] ).
cnf(39516,plain,
equal(xor__dfg(n2,xor__dfg(a1,xor__dfg(n3,n18))),n19),
inference(rew,[status(thm),theory(equality)],[39497,38911]),
[iquote('0:Rew:39497.0,38911.0')] ).
cnf(39518,plain,
equal(xor__dfg(n25,u),xor__dfg(n2,xor__dfg(a1,xor__dfg(n3,u)))),
inference(rew,[status(thm),theory(equality)],[39497,38085]),
[iquote('0:Rew:39497.0,38085.0')] ).
cnf(39527,plain,
equal(xor__dfg(n2,xor__dfg(a1,xor__dfg(n3,xor__dfg(n18,u)))),xor__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[39497,38708]),
[iquote('0:Rew:39497.0,38708.0')] ).
cnf(39535,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19)))),xor__dfg(a1,xor__dfg(n3,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19)))))),
inference(rew,[status(thm),theory(equality)],[39497,32659]),
[iquote('0:Rew:39497.0,32659.0')] ).
cnf(39536,plain,
equal(xor__dfg(n2,xor__dfg(i3,xor__dfg(n7,xor__dfg(n14,n19)))),xor__dfg(a1,xor__dfg(n3,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19)))))),
inference(rew,[status(thm),theory(equality)],[39497,32661]),
[iquote('0:Rew:39497.0,32661.0')] ).
cnf(39543,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,n19))),n18),
inference(rew,[status(thm),theory(equality)],[15,39515]),
[iquote('0:Rew:15.0,39515.0')] ).
cnf(39544,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,n18))),n19),
inference(rew,[status(thm),theory(equality)],[15,39516]),
[iquote('0:Rew:15.0,39516.0')] ).
cnf(39549,plain,
equal(and__dfg(inv1,and__dfg(u,i1)),xor__dfg(and__dfg(u,a1),and__dfg(u,n3))),
inference(rew,[status(thm),theory(equality)],[39504,433]),
[iquote('0:Rew:39504.0,433.0')] ).
cnf(39552,plain,
equal(xor__dfg(and__dfg(inv1,a1),and__dfg(inv1,n3)),n24),
inference(rew,[status(thm),theory(equality)],[39504,369]),
[iquote('0:Rew:39504.0,369.0')] ).
cnf(39553,plain,
equal(xor__dfg(xor__dfg(and__dfg(o3,a1),and__dfg(o3,n3)),and__dfg(n3,n24)),n0),
inference(rew,[status(thm),theory(equality)],[39504,35687]),
[iquote('0:Rew:39504.0,35687.0')] ).
cnf(39604,plain,
equal(xor__dfg(and__dfg(u,n19),and__dfg(u,n23)),xor__dfg(xor__dfg(and__dfg(u,a1),and__dfg(u,n3)),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,i1),xor__dfg(and__dfg(u,n7),and__dfg(u,n19)))))),
inference(rew,[status(thm),theory(equality)],[39504,33463]),
[iquote('0:Rew:39504.0,33463.0')] ).
cnf(39616,plain,
equal(and__dfg(u,n25),xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,a1),and__dfg(u,n3)))),
inference(rew,[status(thm),theory(equality)],[39504,38092]),
[iquote('0:Rew:39504.0,38092.0')] ).
cnf(39635,plain,
equal(xor__dfg(a1,and__dfg(inv1,n3)),n24),
inference(rew,[status(thm),theory(equality)],[379,39552,16]),
[iquote('0:Rew:379.0,39552.0,16.0,39552.0')] ).
cnf(39637,plain,
equal(xor__dfg(n25,u),xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,u)))),
inference(rew,[status(thm),theory(equality)],[15,39518]),
[iquote('0:Rew:15.0,39518.0')] ).
cnf(39645,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(u,n3))),xor__dfg(u,n25)),
inference(rew,[status(thm),theory(equality)],[39500,38056]),
[iquote('0:Rew:39500.0,38056.0')] ).
cnf(39650,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,xor__dfg(n18,u)))),xor__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[15,39527]),
[iquote('0:Rew:15.0,39527.0')] ).
cnf(39652,plain,
equal(xor__dfg(and__dfg(o3,a1),xor__dfg(and__dfg(o3,n3),and__dfg(n3,n24))),n0),
inference(rew,[status(thm),theory(equality)],[4335,39553]),
[iquote('0:Rew:4335.0,39553.0')] ).
cnf(39653,plain,
equal(xor__dfg(and__dfg(o3,a1),xor__dfg(and__dfg(o3,n3),xor__dfg(and__dfg(n3,a1),and__dfg(n3,n3)))),n0),
inference(rew,[status(thm),theory(equality)],[39504,39652]),
[iquote('0:Rew:39504.0,39652.0')] ).
cnf(39654,plain,
equal(xor__dfg(n3,xor__dfg(and__dfg(o3,a1),xor__dfg(and__dfg(o3,n3),and__dfg(a1,n3)))),n0),
inference(rew,[status(thm),theory(equality)],[15,39653,14,16,9]),
[iquote('0:Rew:15.0,39653.0,15.0,39653.0,14.0,39653.0,16.0,39653.0,9.0,39653.0')] ).
cnf(39669,plain,
equal(and__dfg(u,n25),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n2),and__dfg(u,n3)))),
inference(rew,[status(thm),theory(equality)],[15,39616]),
[iquote('0:Rew:15.0,39616.0')] ).
cnf(39715,plain,
equal(xor__dfg(and__dfg(u,n19),and__dfg(u,n23)),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,i1),xor__dfg(and__dfg(u,n7),and__dfg(u,n19))))))),
inference(rew,[status(thm),theory(equality)],[4335,39604]),
[iquote('0:Rew:4335.0,39604.0')] ).
cnf(39744,plain,
equal(and__dfg(inv1,n3),xor__dfg(a1,n24)),
inference(spr,[status(thm),theory(equality)],[39635,4]),
[iquote('0:SpR:39635.0,4.0')] ).
cnf(39760,plain,
equal(and__dfg(inv1,n3),n3),
inference(rew,[status(thm),theory(equality)],[39385,39744]),
[iquote('0:Rew:39385.0,39744.0')] ).
cnf(39762,plain,
equal(xor__dfg(n3,and__dfg(inv1,n4)),n0),
inference(rew,[status(thm),theory(equality)],[39760,35690]),
[iquote('0:Rew:39760.0,35690.0')] ).
cnf(40026,plain,
equal(and__dfg(n21,i1),xor__dfg(and__dfg(n21,a1),and__dfg(n21,n3))),
inference(spr,[status(thm),theory(equality)],[39549,1435]),
[iquote('0:SpR:39549.0,1435.0')] ).
cnf(40031,plain,
equal(xor__dfg(and__dfg(i1,a1),and__dfg(i1,n3)),and__dfg(n24,i1)),
inference(spr,[status(thm),theory(equality)],[39549,6266]),
[iquote('0:SpR:39549.0,6266.0')] ).
cnf(40065,plain,
equal(and__dfg(n24,n21),xor__dfg(and__dfg(a1,n21),and__dfg(n3,n21))),
inference(rew,[status(thm),theory(equality)],[2272,40026,16]),
[iquote('0:Rew:2272.0,40026.0,16.0,40026.0,16.0,40026.0')] ).
cnf(40068,plain,
equal(and__dfg(i2,and__dfg(u,xor__dfg(and__dfg(a1,n21),and__dfg(n3,n21)))),n0),
inference(rew,[status(thm),theory(equality)],[40065,32615]),
[iquote('0:Rew:40065.0,32615.0')] ).
cnf(40098,plain,
equal(and__dfg(n3,i1),n24),
inference(rew,[status(thm),theory(equality)],[1,40031,33473,16,1715]),
[iquote('0:Rew:1.0,40031.0,33473.0,40031.0,16.0,40031.0,16.0,40031.0,1715.0,40031.0')] ).
cnf(40133,plain,
equal(xor__dfg(and__dfg(a1,and__dfg(u,n21)),and__dfg(i2,and__dfg(u,and__dfg(n3,n21)))),n0),
inference(rew,[status(thm),theory(equality)],[13705,40068,405,11]),
[iquote('0:Rew:13705.0,40068.0,405.0,40068.0,11.0,40068.0,11.0,40068.0')] ).
cnf(40565,plain,
equal(xor__dfg(and__dfg(n3,n4),n0),n3),
inference(spr,[status(thm),theory(equality)],[35738,161]),
[iquote('0:SpR:35738.0,161.0')] ).
cnf(40581,plain,
equal(and__dfg(n3,n4),n3),
inference(rew,[status(thm),theory(equality)],[1,40565,14]),
[iquote('0:Rew:1.0,40565.0,14.0,40565.0')] ).
cnf(40618,plain,
equal(and__dfg(n3,and__dfg(n4,u)),and__dfg(n3,u)),
inference(spr,[status(thm),theory(equality)],[40581,3038]),
[iquote('0:SpR:40581.0,3038.0')] ).
cnf(40636,plain,
equal(xor__dfg(and__dfg(n4,u),and__dfg(n3,u)),xor__dfg(and__dfg(u,n3),and__dfg(u,n4))),
inference(rew,[status(thm),theory(equality)],[40618,36826]),
[iquote('0:Rew:40618.0,36826.0')] ).
cnf(40645,plain,
equal(xor__dfg(and__dfg(n3,u),and__dfg(n4,u)),xor__dfg(and__dfg(u,n3),and__dfg(u,n4))),
inference(rew,[status(thm),theory(equality)],[14,40636]),
[iquote('0:Rew:14.0,40636.0')] ).
cnf(40652,plain,
equal(xor__dfg(and__dfg(a1,n3),n0),a1),
inference(spr,[status(thm),theory(equality)],[37022,161]),
[iquote('0:SpR:37022.0,161.0')] ).
cnf(40668,plain,
equal(and__dfg(a1,n3),a1),
inference(rew,[status(thm),theory(equality)],[1,40652,14]),
[iquote('0:Rew:1.0,40652.0,14.0,40652.0')] ).
cnf(40669,plain,
equal(and__dfg(a1,n4),a1),
inference(rew,[status(thm),theory(equality)],[40668,24571]),
[iquote('0:Rew:40668.0,24571.0')] ).
cnf(40677,plain,
equal(xor__dfg(a1,xor__dfg(a1,and__dfg(a1,n21))),n0),
inference(rew,[status(thm),theory(equality)],[40668,38825]),
[iquote('0:Rew:40668.0,38825.0')] ).
cnf(40678,plain,
equal(xor__dfg(n3,xor__dfg(and__dfg(o3,a1),xor__dfg(and__dfg(o3,n3),a1))),n0),
inference(rew,[status(thm),theory(equality)],[40668,39654]),
[iquote('0:Rew:40668.0,39654.0')] ).
cnf(40684,plain,
equal(and__dfg(a1,n21),n0),
inference(rew,[status(thm),theory(equality)],[4,40677]),
[iquote('0:Rew:4.0,40677.0')] ).
cnf(40702,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n21))),and__dfg(u,and__dfg(v,n0))),
inference(rew,[status(thm),theory(equality)],[40684,7602]),
[iquote('0:Rew:40684.0,7602.0')] ).
cnf(40715,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n0,and__dfg(n2,n21)))),and__dfg(o1,n9)),
inference(rew,[status(thm),theory(equality)],[40684,37333]),
[iquote('0:Rew:40684.0,37333.0')] ).
cnf(40716,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(o1,n9),xor__dfg(n0,and__dfg(n2,n21))))),xor__dfg(a1,xor__dfg(n2,xor__dfg(n12,n16)))),
inference(rew,[status(thm),theory(equality)],[40684,37378]),
[iquote('0:Rew:40684.0,37378.0')] ).
cnf(40755,plain,
equal(xor__dfg(a1,xor__dfg(n3,xor__dfg(and__dfg(o3,a1),and__dfg(o3,n3)))),n0),
inference(rew,[status(thm),theory(equality)],[15,40678,14]),
[iquote('0:Rew:15.0,40678.0,15.0,40678.0,14.0,40678.0')] ).
cnf(40761,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n21))),n0),
inference(rew,[status(thm),theory(equality)],[6,40702]),
[iquote('0:Rew:6.0,40702.0,6.0,40702.0')] ).
cnf(40762,plain,
equal(xor__dfg(and__dfg(a1,and__dfg(u,n21)),n0),n0),
inference(rew,[status(thm),theory(equality)],[40761,40133]),
[iquote('0:Rew:40761.0,40133.0')] ).
cnf(40763,plain,
equal(and__dfg(a1,and__dfg(u,n21)),n0),
inference(rew,[status(thm),theory(equality)],[1,40762,14]),
[iquote('0:Rew:1.0,40762.0,14.0,40762.0')] ).
cnf(40769,plain,
equal(xor__dfg(a1,xor__dfg(n2,and__dfg(n2,n21))),and__dfg(o1,n9)),
inference(rew,[status(thm),theory(equality)],[1,40715]),
[iquote('0:Rew:1.0,40715.0')] ).
cnf(40803,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(o1,n9),and__dfg(n2,n21)))),xor__dfg(a1,xor__dfg(n2,xor__dfg(n12,n16)))),
inference(rew,[status(thm),theory(equality)],[1,40716]),
[iquote('0:Rew:1.0,40716.0')] ).
cnf(41485,plain,
equal(and__dfg(inv2,and__dfg(u,n23)),and__dfg(u,and__dfg(i3,xor__dfg(i1,and__dfg(n9,i1))))),
inference(spr,[status(thm),theory(equality)],[18754,1632]),
[iquote('0:SpR:18754.0,1632.0')] ).
cnf(41660,plain,
equal(xor__dfg(and__dfg(u,n23),and__dfg(n9,and__dfg(u,n23))),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,i1),xor__dfg(and__dfg(u,n7),xor__dfg(and__dfg(u,n19),and__dfg(u,n23)))))))),
inference(rew,[status(thm),theory(equality)],[18754,41485,11,1596,1560,4387,546,59,39513,16]),
[iquote('0:Rew:18754.0,41485.0,11.0,41485.0,11.0,41485.0,11.0,41485.0,11.0,41485.0,11.0,41485.0,11.0,41485.0,1596.0,41485.0,1560.0,41485.0,4387.0,41485.0,546.0,41485.0,546.0,41485.0,59.0,41485.0,39513.0,41485.0,11.0,41485.0,16.0,41485.0')] ).
cnf(41661,plain,
equal(xor__dfg(and__dfg(u,n23),and__dfg(i3,and__dfg(i1,and__dfg(u,n9)))),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,i1),xor__dfg(and__dfg(u,i1),xor__dfg(and__dfg(u,n7),xor__dfg(and__dfg(u,n7),and__dfg(u,n19)))))))))))),
inference(rew,[status(thm),theory(equality)],[6244,41660,4420,8251,8268,8286,39715]),
[iquote('0:Rew:6244.0,41660.0,4420.0,41660.0,8251.0,41660.0,8268.0,41660.0,8251.0,41660.0,4420.0,41660.0,8286.0,41660.0,4420.0,41660.0,8251.0,41660.0,8268.0,41660.0,8286.0,41660.0,39715.0,41660.0')] ).
cnf(41662,plain,
equal(xor__dfg(and__dfg(u,n23),and__dfg(i3,and__dfg(i1,and__dfg(u,n9)))),and__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[4,41661]),
[iquote('0:Rew:4.0,41661.0,4.0,41661.0,4.0,41661.0,4.0,41661.0,4.0,41661.0')] ).
cnf(41765,plain,
equal(and__dfg(n4,and__dfg(i3,u)),and__dfg(u,and__dfg(i2,n19))),
inference(spr,[status(thm),theory(equality)],[37512,3154]),
[iquote('0:SpR:37512.0,3154.0')] ).
cnf(41769,plain,
equal(and__dfg(and__dfg(i2,n19),u),and__dfg(i3,and__dfg(n4,u))),
inference(spr,[status(thm),theory(equality)],[37512,3038]),
[iquote('0:SpR:37512.0,3038.0')] ).
cnf(41793,plain,
equal(and__dfg(i3,and__dfg(n4,u)),and__dfg(u,and__dfg(i2,n19))),
inference(rew,[status(thm),theory(equality)],[17,41765]),
[iquote('0:Rew:17.0,41765.0')] ).
cnf(41794,plain,
equal(and__dfg(i2,and__dfg(n19,u)),and__dfg(i3,and__dfg(n4,u))),
inference(rew,[status(thm),theory(equality)],[3038,41769]),
[iquote('0:Rew:3038.0,41769.0')] ).
cnf(41795,plain,
equal(and__dfg(i2,xor__dfg(and__dfg(i3,and__dfg(i1,u)),and__dfg(i3,and__dfg(i1,and__dfg(n9,u))))),and__dfg(i3,and__dfg(n4,u))),
inference(rew,[status(thm),theory(equality)],[18915,41794]),
[iquote('0:Rew:18915.0,41794.0')] ).
cnf(41796,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,and__dfg(i1,u))),and__dfg(i2,and__dfg(i3,and__dfg(i1,and__dfg(n9,u))))),and__dfg(i3,and__dfg(n4,u))),
inference(rew,[status(thm),theory(equality)],[11,41795]),
[iquote('0:Rew:11.0,41795.0')] ).
cnf(41797,plain,
equal(and__dfg(i3,and__dfg(n15,u)),and__dfg(i3,and__dfg(n4,u))),
inference(rew,[status(thm),theory(equality)],[21064,41796,16592]),
[iquote('0:Rew:21064.0,41796.0,16592.0,41796.0,16592.0,41796.0')] ).
cnf(41813,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),and__dfg(v,and__dfg(i3,and__dfg(n4,u)))),
inference(rew,[status(thm),theory(equality)],[41797,16399]),
[iquote('0:Rew:41797.0,16399.0')] ).
cnf(41833,plain,
equal(xor__dfg(and__dfg(i2,n3),n0),a1),
inference(spr,[status(thm),theory(equality)],[39444,161]),
[iquote('0:SpR:39444.0,161.0')] ).
cnf(41849,plain,
equal(and__dfg(i2,n3),a1),
inference(rew,[status(thm),theory(equality)],[1,41833,14]),
[iquote('0:Rew:1.0,41833.0,14.0,41833.0')] ).
cnf(41850,plain,
equal(and__dfg(i2,n4),xor__dfg(n3,xor__dfg(n4,a1))),
inference(rew,[status(thm),theory(equality)],[41849,21760]),
[iquote('0:Rew:41849.0,21760.0')] ).
cnf(41853,plain,
equal(and__dfg(i2,and__dfg(u,n4)),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,a1)))),
inference(rew,[status(thm),theory(equality)],[41849,23661]),
[iquote('0:Rew:41849.0,23661.0')] ).
cnf(41859,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n4))),xor__dfg(and__dfg(u,and__dfg(v,n3)),xor__dfg(and__dfg(u,and__dfg(v,n4)),and__dfg(u,and__dfg(v,a1))))),
inference(rew,[status(thm),theory(equality)],[41849,23667]),
[iquote('0:Rew:41849.0,23667.0')] ).
cnf(41866,plain,
equal(and__dfg(i2,n4),xor__dfg(a1,n15)),
inference(rew,[status(thm),theory(equality)],[35683,41850,15,14]),
[iquote('0:Rew:35683.0,41850.0,15.0,41850.0,14.0,41850.0')] ).
cnf(41898,plain,
equal(and__dfg(i2,and__dfg(u,n4)),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),and__dfg(u,n4)))),
inference(rew,[status(thm),theory(equality)],[15,41853,14]),
[iquote('0:Rew:15.0,41853.0,14.0,41853.0')] ).
cnf(41901,plain,
equal(and__dfg(i2,and__dfg(u,and__dfg(v,n4))),xor__dfg(and__dfg(u,and__dfg(v,a1)),xor__dfg(and__dfg(u,and__dfg(v,n3)),and__dfg(u,and__dfg(v,n4))))),
inference(rew,[status(thm),theory(equality)],[15,41859,14]),
[iquote('0:Rew:15.0,41859.0,14.0,41859.0')] ).
cnf(41925,plain,
equal(and__dfg(i2,and__dfg(u,n3)),and__dfg(u,a1)),
inference(spr,[status(thm),theory(equality)],[41849,17]),
[iquote('0:SpR:41849.0,17.0')] ).
cnf(42349,plain,
equal(xor__dfg(n2,n3),xor__dfg(a1,n25)),
inference(spr,[status(thm),theory(equality)],[39483,4]),
[iquote('0:SpR:39483.0,4.0')] ).
cnf(42393,plain,
equal(xor__dfg(and__dfg(inv1,n4),n0),n3),
inference(spr,[status(thm),theory(equality)],[39762,161]),
[iquote('0:SpR:39762.0,161.0')] ).
cnf(42409,plain,
equal(and__dfg(inv1,n4),n3),
inference(rew,[status(thm),theory(equality)],[1,42393,14]),
[iquote('0:Rew:1.0,42393.0,14.0,42393.0')] ).
cnf(42450,plain,
equal(and__dfg(inv1,and__dfg(u,n4)),and__dfg(u,n3)),
inference(spr,[status(thm),theory(equality)],[42409,17]),
[iquote('0:SpR:42409.0,17.0')] ).
cnf(44164,plain,
equal(and__dfg(n15,xor__dfg(o3,xor__dfg(n4,n21))),n0),
inference(spr,[status(thm),theory(equality)],[1002,32597]),
[iquote('0:SpR:1002.0,32597.0')] ).
cnf(44185,plain,
equal(xor__dfg(and__dfg(o3,n15),and__dfg(n4,n15)),n0),
inference(rew,[status(thm),theory(equality)],[16,44164,1,14,32579,11]),
[iquote('0:Rew:16.0,44164.0,1.0,44164.0,14.0,44164.0,16.0,44164.0,32579.0,44164.0,11.0,44164.0,11.0,44164.0')] ).
cnf(44186,plain,
equal(xor__dfg(xor__dfg(and__dfg(o3,n3),and__dfg(o3,n4)),xor__dfg(and__dfg(n3,n4),and__dfg(n4,n4))),n0),
inference(rew,[status(thm),theory(equality)],[36036,44185,40645]),
[iquote('0:Rew:36036.0,44185.0,40645.0,44185.0,36036.0,44185.0')] ).
cnf(44187,plain,
equal(xor__dfg(n15,xor__dfg(and__dfg(o3,n3),and__dfg(o3,n4))),n0),
inference(rew,[status(thm),theory(equality)],[15,44186,14,4335,35683,40581,9]),
[iquote('0:Rew:15.0,44186.0,14.0,44186.0,4335.0,44186.0,35683.0,44186.0,40581.0,44186.0,9.0,44186.0')] ).
cnf(44188,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(and__dfg(o3,n3),and__dfg(o3,n4)))),n0),
inference(rew,[status(thm),theory(equality)],[36029,44187]),
[iquote('0:Rew:36029.0,44187.0')] ).
cnf(44423,plain,
equal(xor__dfg(and__dfg(and__dfg(u,and__dfg(n6,v)),i3),and__dfg(u,and__dfg(v,n7))),n0),
inference(spr,[status(thm),theory(equality)],[3200,25365]),
[iquote('0:SpR:3200.0,25365.0')] ).
cnf(44745,plain,
equal(xor__dfg(and__dfg(u,and__dfg(i3,and__dfg(n6,v))),and__dfg(u,and__dfg(v,n7))),n0),
inference(rew,[status(thm),theory(equality)],[436,44423,3038]),
[iquote('0:Rew:436.0,44423.0,3038.0,44423.0,3038.0,44423.0')] ).
cnf(46851,plain,
equal(and__dfg(n4,and__dfg(u,n14)),and__dfg(i2,and__dfg(u,and__dfg(i2,n19)))),
inference(spr,[status(thm),theory(equality)],[37512,3940]),
[iquote('0:SpR:37512.0,3940.0')] ).
cnf(47003,plain,
equal(and__dfg(i2,and__dfg(i3,and__dfg(n4,u))),and__dfg(u,and__dfg(i2,n19))),
inference(rew,[status(thm),theory(equality)],[436,46851,1299,402]),
[iquote('0:Rew:436.0,46851.0,1299.0,46851.0,402.0,46851.0')] ).
cnf(60729,plain,
equal(and__dfg(n2,xor__dfg(o3,xor__dfg(n4,n21))),n0),
inference(spr,[status(thm),theory(equality)],[1002,38301]),
[iquote('0:SpR:1002.0,38301.0')] ).
cnf(60785,plain,
equal(xor__dfg(and__dfg(o3,n2),and__dfg(n2,n21)),n0),
inference(rew,[status(thm),theory(equality)],[16,60729,1,37495,11]),
[iquote('0:Rew:16.0,60729.0,1.0,60729.0,37495.0,60729.0,11.0,60729.0,11.0,60729.0')] ).
cnf(61016,plain,
equal(xor__dfg(and__dfg(u,v),w),xor__dfg(and__dfg(u,x),xor__dfg(and__dfg(xor__dfg(x,v),u),w))),
inference(spr,[status(thm),theory(equality)],[6464,4335]),
[iquote('0:SpR:6464.0,4335.0')] ).
cnf(63618,plain,
equal(xor__dfg(and__dfg(u,v),xor__dfg(w,and__dfg(x,u))),xor__dfg(w,and__dfg(xor__dfg(v,x),u))),
inference(spr,[status(thm),theory(equality)],[6499,15]),
[iquote('0:SpR:6499.0,15.0')] ).
cnf(63621,plain,
equal(xor__dfg(and__dfg(u,v),xor__dfg(w,xor__dfg(x,and__dfg(y,u)))),xor__dfg(w,xor__dfg(x,and__dfg(xor__dfg(v,y),u)))),
inference(spr,[status(thm),theory(equality)],[6499,546]),
[iquote('0:SpR:6499.0,546.0')] ).
cnf(63881,plain,
equal(and__dfg(xor__dfg(u,v),w),xor__dfg(and__dfg(u,w),and__dfg(v,w))),
inference(spr,[status(thm),theory(equality)],[16,6499]),
[iquote('0:SpR:16.0,6499.0')] ).
cnf(64306,plain,
equal(xor__dfg(and__dfg(u,v),w),xor__dfg(and__dfg(u,x),xor__dfg(xor__dfg(and__dfg(x,u),and__dfg(v,u)),w))),
inference(rew,[status(thm),theory(equality)],[63881,61016]),
[iquote('0:Rew:63881.0,61016.0')] ).
cnf(64408,plain,
equal(xor__dfg(and__dfg(n3,u),and__dfg(xor__dfg(n4,n6),u)),and__dfg(n6,and__dfg(n9,u))),
inference(rew,[status(thm),theory(equality)],[63881,36044]),
[iquote('0:Rew:63881.0,36044.0')] ).
cnf(64838,plain,
equal(and__dfg(n6,and__dfg(n9,u)),xor__dfg(and__dfg(n3,u),xor__dfg(and__dfg(n4,u),and__dfg(n6,u)))),
inference(rew,[status(thm),theory(equality)],[63881,64408]),
[iquote('0:Rew:63881.0,64408.0')] ).
cnf(64846,plain,
equal(xor__dfg(and__dfg(n6,u),xor__dfg(and__dfg(n3,u),xor__dfg(and__dfg(n4,u),and__dfg(n6,u)))),and__dfg(n15,u)),
inference(rew,[status(thm),theory(equality)],[64838,18875]),
[iquote('0:Rew:64838.0,18875.0')] ).
cnf(64919,plain,
equal(xor__dfg(and__dfg(u,v),xor__dfg(w,and__dfg(x,u))),xor__dfg(w,xor__dfg(and__dfg(v,u),and__dfg(x,u)))),
inference(rew,[status(thm),theory(equality)],[63881,63618]),
[iquote('0:Rew:63881.0,63618.0')] ).
cnf(65411,plain,
equal(xor__dfg(and__dfg(u,v),w),xor__dfg(and__dfg(u,x),xor__dfg(and__dfg(x,u),xor__dfg(and__dfg(v,u),w)))),
inference(rew,[status(thm),theory(equality)],[4335,64306]),
[iquote('0:Rew:4335.0,64306.0')] ).
cnf(65412,plain,
equal(xor__dfg(and__dfg(u,v),w),xor__dfg(and__dfg(v,u),w)),
inference(rew,[status(thm),theory(equality)],[26624,65411]),
[iquote('0:Rew:26624.0,65411.0')] ).
cnf(65437,plain,
equal(and__dfg(n15,u),xor__dfg(and__dfg(n3,u),and__dfg(n4,u))),
inference(rew,[status(thm),theory(equality)],[569,64846]),
[iquote('0:Rew:569.0,64846.0')] ).
cnf(65698,plain,
equal(xor__dfg(and__dfg(u,v),xor__dfg(w,xor__dfg(x,and__dfg(y,u)))),xor__dfg(w,xor__dfg(x,xor__dfg(and__dfg(v,u),and__dfg(y,u))))),
inference(rew,[status(thm),theory(equality)],[63881,63621]),
[iquote('0:Rew:63881.0,63621.0')] ).
cnf(69549,plain,
equal(and__dfg(a1,xor__dfg(o3,xor__dfg(n4,n21))),n0),
inference(spr,[status(thm),theory(equality)],[1002,40763]),
[iquote('0:SpR:1002.0,40763.0')] ).
cnf(69572,plain,
equal(xor__dfg(a1,and__dfg(o3,a1)),n0),
inference(rew,[status(thm),theory(equality)],[14,69549,16,1,40669,40684,11]),
[iquote('0:Rew:14.0,69549.0,16.0,69549.0,1.0,69549.0,14.0,69549.0,40669.0,69549.0,40684.0,69549.0,11.0,69549.0,11.0,69549.0')] ).
cnf(69610,plain,
equal(xor__dfg(and__dfg(o3,a1),n0),a1),
inference(spr,[status(thm),theory(equality)],[69572,161]),
[iquote('0:SpR:69572.0,161.0')] ).
cnf(69629,plain,
equal(and__dfg(o3,a1),a1),
inference(rew,[status(thm),theory(equality)],[1,69610,14]),
[iquote('0:Rew:1.0,69610.0,14.0,69610.0')] ).
cnf(69631,plain,
equal(xor__dfg(a1,xor__dfg(n3,xor__dfg(a1,and__dfg(o3,n3)))),n0),
inference(rew,[status(thm),theory(equality)],[69629,40755]),
[iquote('0:Rew:69629.0,40755.0')] ).
cnf(69651,plain,
equal(xor__dfg(n3,and__dfg(o3,n3)),n0),
inference(rew,[status(thm),theory(equality)],[4,69631,15]),
[iquote('0:Rew:4.0,69631.0,15.0,69631.0')] ).
cnf(69678,plain,
equal(and__dfg(o3,and__dfg(a1,u)),and__dfg(a1,u)),
inference(spr,[status(thm),theory(equality)],[69629,3038]),
[iquote('0:SpR:69629.0,3038.0')] ).
cnf(69714,plain,
equal(xor__dfg(and__dfg(o3,n3),n0),n3),
inference(spr,[status(thm),theory(equality)],[69651,161]),
[iquote('0:SpR:69651.0,161.0')] ).
cnf(69733,plain,
equal(and__dfg(o3,n3),n3),
inference(rew,[status(thm),theory(equality)],[1,69714,14]),
[iquote('0:Rew:1.0,69714.0,14.0,69714.0')] ).
cnf(69735,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n3,and__dfg(o3,n4)))),n0),
inference(rew,[status(thm),theory(equality)],[69733,44188]),
[iquote('0:Rew:69733.0,44188.0')] ).
cnf(69755,plain,
equal(xor__dfg(n4,and__dfg(o3,n4)),n0),
inference(rew,[status(thm),theory(equality)],[4,69735,15]),
[iquote('0:Rew:4.0,69735.0,15.0,69735.0')] ).
cnf(69925,plain,
equal(xor__dfg(and__dfg(o3,n4),n0),n4),
inference(spr,[status(thm),theory(equality)],[69755,161]),
[iquote('0:SpR:69755.0,161.0')] ).
cnf(69944,plain,
equal(and__dfg(o3,n4),n4),
inference(rew,[status(thm),theory(equality)],[1,69925,14]),
[iquote('0:Rew:1.0,69925.0,14.0,69925.0')] ).
cnf(69995,plain,
equal(and__dfg(o3,and__dfg(u,n4)),and__dfg(u,n4)),
inference(spr,[status(thm),theory(equality)],[69944,17]),
[iquote('0:SpR:69944.0,17.0')] ).
cnf(71124,plain,
equal(xor__dfg(n6,xor__dfg(u,not__dfg(xor__dfg(inv1,n14)))),xor__dfg(u,n23)),
inference(spr,[status(thm),theory(equality)],[32451,541]),
[iquote('0:SpR:32451.0,541.0')] ).
cnf(71127,plain,
equal(xor__dfg(n7,not__dfg(xor__dfg(inv1,n14))),xor__dfg(n6,xor__dfg(n6,n22))),
inference(spr,[status(thm),theory(equality)],[32451,1596]),
[iquote('0:SpR:32451.0,1596.0')] ).
cnf(71134,plain,
equal(and__dfg(u,not__dfg(xor__dfg(inv1,n14))),xor__dfg(and__dfg(u,n6),and__dfg(u,n23))),
inference(spr,[status(thm),theory(equality)],[32451,11]),
[iquote('0:SpR:32451.0,11.0')] ).
cnf(71150,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(u,n14)))),xor__dfg(u,n23)),
inference(rew,[status(thm),theory(equality)],[546,71124,600]),
[iquote('0:Rew:546.0,71124.0,600.0,71124.0,600.0,71124.0')] ).
cnf(71152,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n7,n14))),n22),
inference(rew,[status(thm),theory(equality)],[15,71127,600,4]),
[iquote('0:Rew:15.0,71127.0,600.0,71127.0,4.0,71127.0')] ).
cnf(71171,plain,
equal(xor__dfg(and__dfg(u,n6),and__dfg(u,n23)),xor__dfg(u,xor__dfg(and__dfg(u,inv1),and__dfg(u,n14)))),
inference(rew,[status(thm),theory(equality)],[11,71134,912]),
[iquote('0:Rew:11.0,71134.0,912.0,71134.0')] ).
cnf(71220,plain,
equal(xor__dfg(n7,xor__dfg(u,not__dfg(xor__dfg(inv1,n14)))),xor__dfg(u,n22)),
inference(spr,[status(thm),theory(equality)],[32452,541]),
[iquote('0:SpR:32452.0,541.0')] ).
cnf(71249,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n7,xor__dfg(u,n14)))),xor__dfg(u,n22)),
inference(rew,[status(thm),theory(equality)],[546,71220,600]),
[iquote('0:Rew:546.0,71220.0,600.0,71220.0,600.0,71220.0')] ).
cnf(71283,plain,
equal(xor__dfg(inv1,xor__dfg(n7,n14)),not__dfg(n22)),
inference(spr,[status(thm),theory(equality)],[71152,129]),
[iquote('0:SpR:71152.0,129.0')] ).
cnf(71525,plain,
equal(xor__dfg(n7,n14),xor__dfg(inv1,not__dfg(n22))),
inference(spr,[status(thm),theory(equality)],[71283,4]),
[iquote('0:SpR:71283.0,4.0')] ).
cnf(71549,plain,
equal(xor__dfg(n7,n14),not__dfg(xor__dfg(inv1,n22))),
inference(rew,[status(thm),theory(equality)],[600,71525]),
[iquote('0:Rew:600.0,71525.0')] ).
cnf(71790,plain,
equal(and__dfg(i3,xor__dfg(and__dfg(u,n16),and__dfg(u,n14))),xor__dfg(and__dfg(u,n16),and__dfg(u,n14))),
inference(spr,[status(thm),theory(equality)],[3985,402]),
[iquote('0:SpR:3985.0,402.0')] ).
cnf(71874,plain,
equal(xor__dfg(and__dfg(u,n16),and__dfg(i2,and__dfg(u,i3))),xor__dfg(and__dfg(u,n16),and__dfg(u,n14))),
inference(rew,[status(thm),theory(equality)],[526,71790,372,1299,11]),
[iquote('0:Rew:526.0,71790.0,372.0,71790.0,1299.0,71790.0,11.0,71790.0')] ).
cnf(71944,plain,
equal(xor__dfg(xor__dfg(n3,xor__dfg(n7,n9)),xor__dfg(n2,u)),xor__dfg(u,n0)),
inference(spr,[status(thm),theory(equality)],[37531,4387]),
[iquote('0:SpR:37531.0,4387.0')] ).
cnf(71962,plain,
equal(xor__dfg(xor__dfg(n7,n9),n0),xor__dfg(n2,n3)),
inference(spr,[status(thm),theory(equality)],[37531,569]),
[iquote('0:SpR:37531.0,569.0')] ).
cnf(71970,plain,
equal(xor__dfg(n7,n9),xor__dfg(a1,n25)),
inference(rew,[status(thm),theory(equality)],[1,71962,14,4335,42349]),
[iquote('0:Rew:1.0,71962.0,14.0,71962.0,4335.0,71962.0,42349.0,71962.0')] ).
cnf(71977,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n7,xor__dfg(n9,u)))),u),
inference(rew,[status(thm),theory(equality)],[15,71944,4335,2]),
[iquote('0:Rew:15.0,71944.0,15.0,71944.0,15.0,71944.0,4335.0,71944.0,4335.0,71944.0,2.0,71944.0')] ).
cnf(71978,plain,
equal(and__dfg(n2,n21),n0),
inference(rew,[status(thm),theory(equality)],[71977,38748]),
[iquote('0:Rew:71977.0,38748.0')] ).
cnf(72004,plain,
equal(xor__dfg(and__dfg(o3,i3),xor__dfg(and__dfg(i2,n19),n0)),n0),
inference(rew,[status(thm),theory(equality)],[71978,39204]),
[iquote('0:Rew:71978.0,39204.0')] ).
cnf(72005,plain,
equal(and__dfg(o1,n9),xor__dfg(a1,xor__dfg(n2,n0))),
inference(rew,[status(thm),theory(equality)],[71978,40769]),
[iquote('0:Rew:71978.0,40769.0')] ).
cnf(72007,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(and__dfg(o1,n9),n0))),xor__dfg(a1,xor__dfg(n2,xor__dfg(n12,n16)))),
inference(rew,[status(thm),theory(equality)],[71978,40803]),
[iquote('0:Rew:71978.0,40803.0')] ).
cnf(72009,plain,
equal(xor__dfg(and__dfg(o3,n2),n0),n0),
inference(rew,[status(thm),theory(equality)],[71978,60785]),
[iquote('0:Rew:71978.0,60785.0')] ).
cnf(72015,plain,
equal(and__dfg(o3,n2),n0),
inference(rew,[status(thm),theory(equality)],[1,72009,14]),
[iquote('0:Rew:1.0,72009.0,14.0,72009.0')] ).
cnf(72016,plain,
equal(and__dfg(o1,n9),n11),
inference(rew,[status(thm),theory(equality)],[36921,72005,1,14]),
[iquote('0:Rew:36921.0,72005.0,1.0,72005.0,14.0,72005.0')] ).
cnf(72017,plain,
equal(and__dfg(n9,n12),n11),
inference(rew,[status(thm),theory(equality)],[72016,27087]),
[iquote('0:Rew:72016.0,27087.0')] ).
cnf(72028,plain,
equal(xor__dfg(and__dfg(o3,i3),and__dfg(i2,n19)),n0),
inference(rew,[status(thm),theory(equality)],[1,72004,14]),
[iquote('0:Rew:1.0,72004.0,14.0,72004.0')] ).
cnf(72087,plain,
equal(xor__dfg(a1,xor__dfg(n2,and__dfg(o1,n9))),xor__dfg(a1,xor__dfg(n2,xor__dfg(n12,n16)))),
inference(rew,[status(thm),theory(equality)],[1,72007,14]),
[iquote('0:Rew:1.0,72007.0,14.0,72007.0')] ).
cnf(72088,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n12,n16))),xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,n2)))),
inference(rew,[status(thm),theory(equality)],[37222,72087,72016]),
[iquote('0:Rew:37222.0,72087.0,72016.0,72087.0')] ).
cnf(72089,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n12,n16))),n0),
inference(rew,[status(thm),theory(equality)],[3,72088,1,14]),
[iquote('0:Rew:3.0,72088.0,1.0,72088.0,14.0,72088.0,3.0,72088.0')] ).
cnf(72374,plain,
equal(xor__dfg(xor__dfg(n12,n16),n0),xor__dfg(a1,n2)),
inference(spr,[status(thm),theory(equality)],[72089,569]),
[iquote('0:SpR:72089.0,569.0')] ).
cnf(72382,plain,
equal(xor__dfg(n12,n16),n11),
inference(rew,[status(thm),theory(equality)],[1,72374,14,4335,36921]),
[iquote('0:Rew:1.0,72374.0,14.0,72374.0,4335.0,72374.0,36921.0,72374.0')] ).
cnf(72640,plain,
equal(xor__dfg(n16,n11),n12),
inference(spr,[status(thm),theory(equality)],[72382,161]),
[iquote('0:SpR:72382.0,161.0')] ).
cnf(72655,plain,
equal(xor__dfg(and__dfg(u,n12),and__dfg(u,n16)),and__dfg(u,n11)),
inference(spr,[status(thm),theory(equality)],[72382,11]),
[iquote('0:SpR:72382.0,11.0')] ).
cnf(72659,plain,
equal(xor__dfg(n11,n16),n12),
inference(rew,[status(thm),theory(equality)],[14,72640]),
[iquote('0:Rew:14.0,72640.0')] ).
cnf(72660,plain,
equal(xor__dfg(a1,xor__dfg(n2,n16)),n12),
inference(rew,[status(thm),theory(equality)],[37251,72659]),
[iquote('0:Rew:37251.0,72659.0')] ).
cnf(72683,plain,
equal(xor__dfg(and__dfg(u,n12),and__dfg(u,n16)),xor__dfg(and__dfg(u,a1),and__dfg(u,n2))),
inference(rew,[status(thm),theory(equality)],[37258,72655]),
[iquote('0:Rew:37258.0,72655.0')] ).
cnf(72691,plain,
equal(xor__dfg(and__dfg(u,n16),and__dfg(i2,and__dfg(i3,and__dfg(u,n9)))),and__dfg(u,n14)),
inference(spr,[status(thm),theory(equality)],[7807,4]),
[iquote('0:SpR:7807.0,4.0')] ).
cnf(72704,plain,
equal(and__dfg(u,and__dfg(i2,and__dfg(i3,and__dfg(v,n9)))),xor__dfg(and__dfg(u,and__dfg(v,n16)),and__dfg(u,and__dfg(v,n14)))),
inference(spr,[status(thm),theory(equality)],[7807,11]),
[iquote('0:SpR:7807.0,11.0')] ).
cnf(72881,plain,
equal(xor__dfg(n7,xor__dfg(a1,n25)),n9),
inference(spr,[status(thm),theory(equality)],[71970,4]),
[iquote('0:SpR:71970.0,4.0')] ).
cnf(72901,plain,
equal(xor__dfg(a1,xor__dfg(n7,n25)),n9),
inference(rew,[status(thm),theory(equality)],[15,72881]),
[iquote('0:Rew:15.0,72881.0')] ).
cnf(72902,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,n8))),n9),
inference(rew,[status(thm),theory(equality)],[4420,72901,37543,4416,39645]),
[iquote('0:Rew:4420.0,72901.0,37543.0,72901.0,4416.0,72901.0,39645.0,72901.0')] ).
cnf(72903,plain,
equal(xor__dfg(n2,n8),n9),
inference(rew,[status(thm),theory(equality)],[4,72902]),
[iquote('0:Rew:4.0,72902.0')] ).
cnf(72938,plain,
equal(xor__dfg(n9,u),xor__dfg(n2,xor__dfg(n8,u))),
inference(spr,[status(thm),theory(equality)],[72903,4335]),
[iquote('0:SpR:72903.0,4335.0')] ).
cnf(72948,plain,
equal(and__dfg(u,n9),xor__dfg(and__dfg(u,n2),and__dfg(u,n8))),
inference(spr,[status(thm),theory(equality)],[72903,11]),
[iquote('0:SpR:72903.0,11.0')] ).
cnf(72957,plain,
equal(xor__dfg(n9,u),xor__dfg(n2,xor__dfg(n3,xor__dfg(n7,u)))),
inference(rew,[status(thm),theory(equality)],[38727,72938]),
[iquote('0:Rew:38727.0,72938.0')] ).
cnf(72958,plain,
equal(xor__dfg(inv2,u),not__dfg(xor__dfg(n2,xor__dfg(n3,xor__dfg(n7,u))))),
inference(rew,[status(thm),theory(equality)],[72957,680]),
[iquote('0:Rew:72957.0,680.0')] ).
cnf(72973,plain,
equal(and__dfg(u,n9),xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n3),and__dfg(u,n7)))),
inference(rew,[status(thm),theory(equality)],[38734,72948]),
[iquote('0:Rew:38734.0,72948.0')] ).
cnf(72978,plain,
equal(and__dfg(i3,xor__dfg(and__dfg(i1,n2),xor__dfg(and__dfg(i1,n3),and__dfg(i1,n7)))),xor__dfg(a1,xor__dfg(n3,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19)))))),
inference(rew,[status(thm),theory(equality)],[72973,39513]),
[iquote('0:Rew:72973.0,39513.0')] ).
cnf(72979,plain,
equal(xor__dfg(and__dfg(n6,n2),xor__dfg(and__dfg(n6,n3),and__dfg(n6,n7))),xor__dfg(n3,xor__dfg(n4,n6))),
inference(rew,[status(thm),theory(equality)],[72973,36043]),
[iquote('0:Rew:72973.0,36043.0')] ).
cnf(72982,plain,
equal(and__dfg(i2,and__dfg(u,xor__dfg(and__dfg(i3,n2),xor__dfg(and__dfg(i3,n3),and__dfg(i3,n7))))),xor__dfg(and__dfg(u,n16),and__dfg(u,n14))),
inference(rew,[status(thm),theory(equality)],[72973,2736]),
[iquote('0:Rew:72973.0,2736.0')] ).
cnf(72984,plain,
equal(and__dfg(u,inv2),xor__dfg(u,xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n3),and__dfg(u,n7))))),
inference(rew,[status(thm),theory(equality)],[72973,2311]),
[iquote('0:Rew:72973.0,2311.0')] ).
cnf(72987,plain,
equal(xor__dfg(and__dfg(inv1,n2),xor__dfg(and__dfg(inv1,n3),and__dfg(inv1,n7))),xor__dfg(inv1,n21)),
inference(rew,[status(thm),theory(equality)],[72973,2474]),
[iquote('0:Rew:72973.0,2474.0')] ).
cnf(72988,plain,
equal(xor__dfg(and__dfg(n21,n2),xor__dfg(and__dfg(n21,n3),and__dfg(n21,n7))),n0),
inference(rew,[status(thm),theory(equality)],[72973,2465]),
[iquote('0:Rew:72973.0,2465.0')] ).
cnf(73036,plain,
equal(and__dfg(u,and__dfg(i2,and__dfg(i3,xor__dfg(and__dfg(v,n2),xor__dfg(and__dfg(v,n3),and__dfg(v,n7)))))),xor__dfg(and__dfg(u,and__dfg(v,n16)),and__dfg(u,and__dfg(v,n14)))),
inference(rew,[status(thm),theory(equality)],[72973,72704]),
[iquote('0:Rew:72973.0,72704.0')] ).
cnf(73055,plain,
equal(xor__dfg(and__dfg(u,n16),and__dfg(i2,and__dfg(i3,xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n3),and__dfg(u,n7)))))),and__dfg(u,n14)),
inference(rew,[status(thm),theory(equality)],[72973,72691]),
[iquote('0:Rew:72973.0,72691.0')] ).
cnf(73068,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(i1,u)),and__dfg(i3,and__dfg(i1,xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n3),and__dfg(u,n7)))))),and__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[72973,16519]),
[iquote('0:Rew:72973.0,16519.0')] ).
cnf(73070,plain,
equal(xor__dfg(and__dfg(u,n23),and__dfg(i3,and__dfg(i1,xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n3),and__dfg(u,n7)))))),and__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[72973,41662]),
[iquote('0:Rew:72973.0,41662.0')] ).
cnf(73071,plain,
equal(and__dfg(n6,xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n3),and__dfg(u,n7)))),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6)))),
inference(rew,[status(thm),theory(equality)],[72973,36213]),
[iquote('0:Rew:72973.0,36213.0')] ).
cnf(73098,plain,
equal(and__dfg(n3,n21),n0),
inference(rew,[status(thm),theory(equality)],[1,72988,71978,16,14,5,32578,427]),
[iquote('0:Rew:1.0,72988.0,71978.0,72988.0,16.0,72988.0,1.0,72988.0,14.0,72988.0,16.0,72988.0,5.0,72988.0,16.0,72988.0,32578.0,72988.0,427.0,72988.0')] ).
cnf(73101,plain,
equal(xor__dfg(o3,xor__dfg(n4,xor__dfg(n21,n0))),n0),
inference(rew,[status(thm),theory(equality)],[73098,35775]),
[iquote('0:Rew:73098.0,35775.0')] ).
cnf(73117,plain,
equal(xor__dfg(o3,xor__dfg(n4,n21)),n0),
inference(rew,[status(thm),theory(equality)],[1,73101,14]),
[iquote('0:Rew:1.0,73101.0,14.0,73101.0')] ).
cnf(73151,plain,
equal(xor__dfg(inv1,n21),xor__dfg(a1,n25)),
inference(rew,[status(thm),theory(equality)],[42349,72987,363,1,14,39760,33397]),
[iquote('0:Rew:42349.0,72987.0,363.0,72987.0,1.0,72987.0,14.0,72987.0,39760.0,72987.0,33397.0,72987.0')] ).
cnf(73158,plain,
equal(xor__dfg(n3,xor__dfg(n4,n6)),n7),
inference(rew,[status(thm),theory(equality)],[1,72979,33399,16,33477,55,9,1412]),
[iquote('0:Rew:1.0,72979.0,33399.0,72979.0,16.0,72979.0,1.0,72979.0,33477.0,72979.0,16.0,72979.0,55.0,72979.0,9.0,72979.0,1412.0,72979.0')] ).
cnf(73213,plain,
equal(xor__dfg(and__dfg(u,n16),and__dfg(u,n14)),and__dfg(u,n7)),
inference(rew,[status(thm),theory(equality)],[1,72982,33380,1422,11,1354,16,37502,365]),
[iquote('0:Rew:1.0,72982.0,33380.0,72982.0,1422.0,72982.0,11.0,72982.0,11.0,72982.0,1354.0,72982.0,16.0,72982.0,1.0,72982.0,37502.0,72982.0,365.0,72982.0')] ).
cnf(73218,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,u)),and__dfg(u,n7)),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[73213,9522]),
[iquote('0:Rew:73213.0,9522.0')] ).
cnf(73222,plain,
equal(xor__dfg(and__dfg(u,n16),and__dfg(i2,and__dfg(u,i3))),and__dfg(u,n7)),
inference(rew,[status(thm),theory(equality)],[73213,71874]),
[iquote('0:Rew:73213.0,71874.0')] ).
cnf(73226,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,i3)),and__dfg(i3,n7)),n16),
inference(rew,[status(thm),theory(equality)],[73218,519]),
[iquote('0:Rew:73218.0,519.0')] ).
cnf(73227,plain,
equal(not__dfg(xor__dfg(inv1,n22)),n16),
inference(rew,[status(thm),theory(equality)],[71549,73226,14,34,9,365]),
[iquote('0:Rew:71549.0,73226.0,14.0,73226.0,34.0,73226.0,9.0,73226.0,365.0,73226.0')] ).
cnf(73228,plain,
equal(xor__dfg(n7,n14),n16),
inference(rew,[status(thm),theory(equality)],[73227,71549]),
[iquote('0:Rew:73227.0,71549.0')] ).
cnf(73253,plain,
equal(and__dfg(u,n14),xor__dfg(and__dfg(u,n7),and__dfg(u,n16))),
inference(rew,[status(thm),theory(equality)],[14,73055,1,33324,1422,11,13838,436,33551,445]),
[iquote('0:Rew:14.0,73055.0,1.0,73055.0,33324.0,73055.0,1422.0,73055.0,11.0,73055.0,13838.0,73055.0,436.0,73055.0,1.0,73055.0,33551.0,73055.0,445.0,73055.0,11.0,73055.0,11.0,73055.0')] ).
cnf(73260,plain,
equal(xor__dfg(and__dfg(i2,n7),and__dfg(i2,n16)),n14),
inference(rew,[status(thm),theory(equality)],[73253,362]),
[iquote('0:Rew:73253.0,362.0')] ).
cnf(73261,plain,
equal(xor__dfg(and__dfg(u,n7),and__dfg(u,n16)),and__dfg(i2,and__dfg(u,i3))),
inference(rew,[status(thm),theory(equality)],[73253,422]),
[iquote('0:Rew:73253.0,422.0')] ).
cnf(73521,plain,
equal(xor__dfg(and__dfg(u,n6),and__dfg(u,n23)),xor__dfg(u,xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n7),and__dfg(u,n16))))),
inference(rew,[status(thm),theory(equality)],[73253,71171]),
[iquote('0:Rew:73253.0,71171.0')] ).
cnf(73536,plain,
equal(xor__dfg(n7,n16),n14),
inference(rew,[status(thm),theory(equality)],[1416,73260,507]),
[iquote('0:Rew:1416.0,73260.0,507.0,73260.0')] ).
cnf(73616,plain,
equal(xor__dfg(and__dfg(u,n23),and__dfg(i3,and__dfg(n6,u))),and__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[1,73070,14,10,38453,11,33337,436,5739,1404]),
[iquote('0:Rew:1.0,73070.0,14.0,73070.0,10.0,73070.0,38453.0,73070.0,11.0,73070.0,1.0,73070.0,33337.0,73070.0,436.0,73070.0,14.0,73070.0,436.0,73070.0,5739.0,73070.0,436.0,73070.0,1404.0,73070.0,11.0,73070.0,11.0,73070.0')] ).
cnf(73635,plain,
equal(xor__dfg(n7,and__dfg(i3,n24)),xor__dfg(a1,xor__dfg(n3,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19)))))),
inference(rew,[status(thm),theory(equality)],[14,72978,365,11,1,33300,16,40098,55,1554,1412]),
[iquote('0:Rew:14.0,72978.0,365.0,72978.0,11.0,72978.0,1.0,72978.0,33300.0,72978.0,16.0,72978.0,40098.0,72978.0,16.0,72978.0,55.0,72978.0,1554.0,72978.0,1412.0,72978.0')] ).
cnf(73636,plain,
equal(xor__dfg(n7,xor__dfg(and__dfg(a1,i3),and__dfg(i3,n3))),xor__dfg(a1,xor__dfg(n3,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19)))))),
inference(rew,[status(thm),theory(equality)],[65412,73635,39504]),
[iquote('0:Rew:65412.0,73635.0,39504.0,73635.0')] ).
cnf(73637,plain,
equal(xor__dfg(a1,xor__dfg(n3,xor__dfg(n6,xor__dfg(i1,xor__dfg(n7,n19))))),n7),
inference(rew,[status(thm),theory(equality)],[1,73636,14,3,33286,37502]),
[iquote('0:Rew:1.0,73636.0,14.0,73636.0,3.0,73636.0,33286.0,73636.0,37502.0,73636.0')] ).
cnf(73638,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n14,n19)))),n7),
inference(rew,[status(thm),theory(equality)],[73637,39535]),
[iquote('0:Rew:73637.0,39535.0')] ).
cnf(73639,plain,
equal(xor__dfg(n2,xor__dfg(i3,xor__dfg(n7,xor__dfg(n14,n19)))),n7),
inference(rew,[status(thm),theory(equality)],[73637,39536]),
[iquote('0:Rew:73637.0,39536.0')] ).
cnf(73651,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(n6,u)),and__dfg(i3,and__dfg(i1,u))),and__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[14,73068,1,10,38453,11,33337,436,5739,1404]),
[iquote('0:Rew:14.0,73068.0,1.0,73068.0,14.0,73068.0,10.0,73068.0,38453.0,73068.0,11.0,73068.0,1.0,73068.0,33337.0,73068.0,436.0,73068.0,14.0,73068.0,436.0,73068.0,5739.0,73068.0,436.0,73068.0,1404.0,73068.0,11.0,73068.0,11.0,73068.0')] ).
cnf(73652,plain,
equal(xor__dfg(and__dfg(i3,and__dfg(n6,i1)),and__dfg(i3,and__dfg(i1,i1))),n19),
inference(rew,[status(thm),theory(equality)],[73651,1506]),
[iquote('0:Rew:73651.0,1506.0')] ).
cnf(73653,plain,
equal(xor__dfg(n7,n23),n19),
inference(rew,[status(thm),theory(equality)],[55,73652,1554,59,9]),
[iquote('0:Rew:55.0,73652.0,1554.0,73652.0,59.0,73652.0,9.0,73652.0')] ).
cnf(73654,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n6,n16))),n19),
inference(rew,[status(thm),theory(equality)],[73228,73653,71150]),
[iquote('0:Rew:73228.0,73653.0,71150.0,73653.0')] ).
cnf(73655,plain,
equal(and__dfg(i3,and__dfg(u,n6)),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6)))),
inference(rew,[status(thm),theory(equality)],[1,73071,33339,436,33498,372,1404,11]),
[iquote('0:Rew:1.0,73071.0,33339.0,73071.0,436.0,73071.0,1.0,73071.0,33498.0,73071.0,436.0,73071.0,372.0,73071.0,1404.0,73071.0,11.0,73071.0,11.0,73071.0')] ).
cnf(73656,plain,
equal(and__dfg(u,n7),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6)))),
inference(rew,[status(thm),theory(equality)],[73655,427]),
[iquote('0:Rew:73655.0,427.0')] ).
cnf(73682,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(n6,u))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(u,n4))),and__dfg(v,xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6))))))),
inference(rew,[status(thm),theory(equality)],[73655,36333]),
[iquote('0:Rew:73655.0,36333.0')] ).
cnf(73864,plain,
equal(xor__dfg(and__dfg(u,and__dfg(i3,and__dfg(n6,v))),and__dfg(u,xor__dfg(and__dfg(v,n3),xor__dfg(and__dfg(v,n4),and__dfg(v,n6))))),n0),
inference(rew,[status(thm),theory(equality)],[73656,44745]),
[iquote('0:Rew:73656.0,44745.0')] ).
cnf(74011,plain,
equal(and__dfg(u,n9),xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6)))))),
inference(rew,[status(thm),theory(equality)],[73656,72973]),
[iquote('0:Rew:73656.0,72973.0')] ).
cnf(74012,plain,
equal(and__dfg(u,inv2),xor__dfg(u,xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6))))))),
inference(rew,[status(thm),theory(equality)],[73656,72984]),
[iquote('0:Rew:73656.0,72984.0')] ).
cnf(74058,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,u)),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6)))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[73656,73218]),
[iquote('0:Rew:73656.0,73218.0')] ).
cnf(74060,plain,
equal(xor__dfg(and__dfg(u,n16),and__dfg(i2,and__dfg(u,i3))),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6)))),
inference(rew,[status(thm),theory(equality)],[73656,73222]),
[iquote('0:Rew:73656.0,73222.0')] ).
cnf(74062,plain,
equal(and__dfg(u,n14),xor__dfg(xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6))),and__dfg(u,n16))),
inference(rew,[status(thm),theory(equality)],[73656,73253]),
[iquote('0:Rew:73656.0,73253.0')] ).
cnf(74063,plain,
equal(xor__dfg(xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6))),and__dfg(u,n16)),and__dfg(i2,and__dfg(u,i3))),
inference(rew,[status(thm),theory(equality)],[73656,73261]),
[iquote('0:Rew:73656.0,73261.0')] ).
cnf(74068,plain,
equal(xor__dfg(and__dfg(u,n6),and__dfg(u,n23)),xor__dfg(u,xor__dfg(and__dfg(u,inv1),xor__dfg(xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6))),and__dfg(u,n16))))),
inference(rew,[status(thm),theory(equality)],[73656,73521]),
[iquote('0:Rew:73656.0,73521.0')] ).
cnf(74119,plain,
equal(and__dfg(u,n14),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),xor__dfg(and__dfg(u,n6),and__dfg(u,n16))))),
inference(rew,[status(thm),theory(equality)],[4335,74062]),
[iquote('0:Rew:4335.0,74062.0,4335.0,74062.0')] ).
cnf(74146,plain,
equal(xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),xor__dfg(and__dfg(u,n6),and__dfg(u,n16)))),and__dfg(i2,and__dfg(u,i3))),
inference(rew,[status(thm),theory(equality)],[4335,74063]),
[iquote('0:Rew:4335.0,74063.0,4335.0,74063.0')] ).
cnf(74174,plain,
equal(xor__dfg(and__dfg(u,and__dfg(i3,and__dfg(n6,v))),xor__dfg(and__dfg(u,and__dfg(v,n3)),xor__dfg(and__dfg(u,and__dfg(v,n4)),and__dfg(u,and__dfg(v,n6))))),n0),
inference(rew,[status(thm),theory(equality)],[11,73864]),
[iquote('0:Rew:11.0,73864.0,11.0,73864.0')] ).
cnf(74180,plain,
equal(and__dfg(u,n9),xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n4),and__dfg(u,n6)))),
inference(rew,[status(thm),theory(equality)],[4,74011]),
[iquote('0:Rew:4.0,74011.0')] ).
cnf(74433,plain,
equal(and__dfg(u,inv2),xor__dfg(u,xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n4),and__dfg(u,n6))))),
inference(rew,[status(thm),theory(equality)],[4,74012]),
[iquote('0:Rew:4.0,74012.0')] ).
cnf(74649,plain,
equal(and__dfg(u,and__dfg(i2,and__dfg(i3,and__dfg(v,n7)))),xor__dfg(and__dfg(u,and__dfg(v,n16)),and__dfg(u,and__dfg(v,n14)))),
inference(rew,[status(thm),theory(equality)],[1,73036,33324,11,13838,436,33551]),
[iquote('0:Rew:1.0,73036.0,33324.0,73036.0,11.0,73036.0,13838.0,73036.0,436.0,73036.0,1.0,73036.0,33551.0,73036.0,11.0,73036.0,11.0,73036.0')] ).
cnf(74650,plain,
equal(and__dfg(u,and__dfg(i2,and__dfg(i3,xor__dfg(and__dfg(v,n3),xor__dfg(and__dfg(v,n4),and__dfg(v,n6)))))),xor__dfg(and__dfg(u,and__dfg(v,n16)),and__dfg(u,xor__dfg(and__dfg(v,n3),xor__dfg(and__dfg(v,n4),xor__dfg(and__dfg(v,n6),and__dfg(v,n16))))))),
inference(rew,[status(thm),theory(equality)],[73656,74649,74119]),
[iquote('0:Rew:73656.0,74649.0,74119.0,74649.0')] ).
cnf(74651,plain,
equal(xor__dfg(and__dfg(u,and__dfg(i2,and__dfg(i3,and__dfg(v,n4)))),and__dfg(u,and__dfg(i2,and__dfg(i3,and__dfg(v,n6))))),xor__dfg(and__dfg(u,and__dfg(v,n3)),xor__dfg(and__dfg(u,and__dfg(v,n4)),and__dfg(u,and__dfg(v,n6))))),
inference(rew,[status(thm),theory(equality)],[11,74650,1,33551,14,3,564,546]),
[iquote('0:Rew:11.0,74650.0,11.0,74650.0,1.0,74650.0,33551.0,74650.0,11.0,74650.0,11.0,74650.0,1.0,74650.0,14.0,74650.0,3.0,74650.0,564.0,74650.0,546.0,74650.0,11.0,74650.0,11.0,74650.0,11.0,74650.0')] ).
cnf(74652,plain,
equal(xor__dfg(and__dfg(u,xor__dfg(and__dfg(i3,and__dfg(v,a1)),xor__dfg(and__dfg(i3,and__dfg(v,n3)),and__dfg(i3,and__dfg(v,n4))))),and__dfg(u,and__dfg(i2,xor__dfg(and__dfg(v,n3),xor__dfg(and__dfg(v,n4),and__dfg(v,n6)))))),xor__dfg(and__dfg(u,and__dfg(v,n3)),xor__dfg(and__dfg(u,and__dfg(v,n4)),and__dfg(u,and__dfg(v,n6))))),
inference(rew,[status(thm),theory(equality)],[41901,74651,73655]),
[iquote('0:Rew:41901.0,74651.0,73655.0,74651.0')] ).
cnf(74653,plain,
equal(xor__dfg(and__dfg(u,and__dfg(i2,and__dfg(v,n3))),xor__dfg(and__dfg(u,and__dfg(i2,and__dfg(v,n4))),xor__dfg(and__dfg(u,and__dfg(i3,and__dfg(v,n4))),and__dfg(u,and__dfg(v,n6))))),xor__dfg(and__dfg(u,and__dfg(v,n3)),xor__dfg(and__dfg(u,and__dfg(v,n4)),and__dfg(u,and__dfg(v,n6))))),
inference(rew,[status(thm),theory(equality)],[546,74652,1,33313,436,33551,11,497]),
[iquote('0:Rew:546.0,74652.0,1.0,74652.0,33313.0,74652.0,436.0,74652.0,1.0,74652.0,33551.0,74652.0,11.0,74652.0,11.0,74652.0,497.0,74652.0,11.0,74652.0,11.0,74652.0')] ).
cnf(74654,plain,
equal(xor__dfg(and__dfg(u,and__dfg(v,a1)),xor__dfg(and__dfg(u,xor__dfg(and__dfg(v,a1),xor__dfg(and__dfg(v,n3),and__dfg(v,n4)))),xor__dfg(and__dfg(u,and__dfg(i3,and__dfg(v,n4))),and__dfg(u,and__dfg(v,n6))))),xor__dfg(and__dfg(u,and__dfg(v,n3)),xor__dfg(and__dfg(u,and__dfg(v,n4)),and__dfg(u,and__dfg(v,n6))))),
inference(rew,[status(thm),theory(equality)],[41925,74653,41898]),
[iquote('0:Rew:41925.0,74653.0,41898.0,74653.0')] ).
cnf(74655,plain,
equal(xor__dfg(and__dfg(u,and__dfg(v,n3)),xor__dfg(and__dfg(u,and__dfg(v,n4)),xor__dfg(and__dfg(u,and__dfg(i3,and__dfg(v,n4))),and__dfg(u,and__dfg(v,n6))))),xor__dfg(and__dfg(u,and__dfg(v,n3)),xor__dfg(and__dfg(u,and__dfg(v,n4)),and__dfg(u,and__dfg(v,n6))))),
inference(rew,[status(thm),theory(equality)],[4,74654,4335,11]),
[iquote('0:Rew:4.0,74654.0,4335.0,74654.0,4335.0,74654.0,11.0,74654.0,11.0,74654.0')] ).
cnf(74885,plain,
equal(xor__dfg(and__dfg(u,n6),and__dfg(u,n23)),xor__dfg(u,xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),xor__dfg(and__dfg(u,n6),and__dfg(u,n16))))))),
inference(rew,[status(thm),theory(equality)],[4335,74068]),
[iquote('0:Rew:4335.0,74068.0,4335.0,74068.0')] ).
cnf(75439,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(n6,u))),xor__dfg(and__dfg(v,and__dfg(u,n3)),xor__dfg(and__dfg(v,and__dfg(u,n4)),xor__dfg(and__dfg(v,and__dfg(i3,and__dfg(u,n4))),and__dfg(v,and__dfg(u,n6))))))),
inference(rew,[status(thm),theory(equality)],[546,73682,11]),
[iquote('0:Rew:546.0,73682.0,11.0,73682.0,11.0,73682.0')] ).
cnf(75440,plain,
equal(and__dfg(u,and__dfg(v,and__dfg(i2,n19))),n0),
inference(rew,[status(thm),theory(equality)],[74174,75439,74655]),
[iquote('0:Rew:74174.0,75439.0,74655.0,75439.0')] ).
cnf(75466,plain,
equal(and__dfg(u,and__dfg(i3,and__dfg(n4,v))),n0),
inference(rew,[status(thm),theory(equality)],[75440,41813]),
[iquote('0:Rew:75440.0,41813.0')] ).
cnf(75485,plain,
equal(and__dfg(u,and__dfg(i2,n19)),n0),
inference(rew,[status(thm),theory(equality)],[75466,47003]),
[iquote('0:Rew:75466.0,47003.0')] ).
cnf(75496,plain,
equal(and__dfg(i3,and__dfg(n4,u)),n0),
inference(rew,[status(thm),theory(equality)],[75485,41793]),
[iquote('0:Rew:75485.0,41793.0')] ).
cnf(75512,plain,
equal(and__dfg(i2,n19),n0),
inference(rew,[status(thm),theory(equality)],[75496,38463]),
[iquote('0:Rew:75496.0,38463.0')] ).
cnf(75520,plain,
equal(and__dfg(n6,n19),n0),
inference(rew,[status(thm),theory(equality)],[75512,1901]),
[iquote('0:Rew:75512.0,1901.0')] ).
cnf(75521,plain,
equal(and__dfg(i3,n4),n0),
inference(rew,[status(thm),theory(equality)],[75512,37512]),
[iquote('0:Rew:75512.0,37512.0')] ).
cnf(75524,plain,
equal(xor__dfg(and__dfg(o3,i3),n0),n0),
inference(rew,[status(thm),theory(equality)],[75512,72028]),
[iquote('0:Rew:75512.0,72028.0')] ).
cnf(75528,plain,
equal(and__dfg(o3,i3),n0),
inference(rew,[status(thm),theory(equality)],[1,75524,14]),
[iquote('0:Rew:1.0,75524.0,14.0,75524.0')] ).
cnf(76298,plain,
equal(xor__dfg(n7,xor__dfg(n14,u)),xor__dfg(n16,u)),
inference(spr,[status(thm),theory(equality)],[73228,4335]),
[iquote('0:SpR:73228.0,4335.0')] ).
cnf(76299,plain,
equal(xor__dfg(n7,xor__dfg(u,n14)),xor__dfg(u,n16)),
inference(spr,[status(thm),theory(equality)],[73228,15]),
[iquote('0:SpR:73228.0,15.0')] ).
cnf(76300,plain,
equal(xor__dfg(n7,xor__dfg(u,n16)),xor__dfg(u,n14)),
inference(spr,[status(thm),theory(equality)],[73228,541]),
[iquote('0:SpR:73228.0,541.0')] ).
cnf(76316,plain,
equal(xor__dfg(n2,xor__dfg(i3,xor__dfg(n16,n19))),n7),
inference(rew,[status(thm),theory(equality)],[76298,73639]),
[iquote('0:Rew:76298.0,73639.0')] ).
cnf(76335,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(u,n16))),xor__dfg(u,n22)),
inference(rew,[status(thm),theory(equality)],[76299,71249]),
[iquote('0:Rew:76299.0,71249.0')] ).
cnf(76422,plain,
equal(xor__dfg(n14,u),xor__dfg(n7,xor__dfg(n16,u))),
inference(spr,[status(thm),theory(equality)],[73536,4335]),
[iquote('0:SpR:73536.0,4335.0')] ).
cnf(76439,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n7,xor__dfg(n16,n19))))),n7),
inference(rew,[status(thm),theory(equality)],[76422,73638]),
[iquote('0:Rew:76422.0,73638.0')] ).
cnf(76809,plain,
equal(xor__dfg(inv1,n22),not__dfg(n16)),
inference(spr,[status(thm),theory(equality)],[73227,129]),
[iquote('0:SpR:73227.0,129.0')] ).
cnf(76890,plain,
equal(xor__dfg(inv1,not__dfg(n16)),n22),
inference(spr,[status(thm),theory(equality)],[76809,4]),
[iquote('0:SpR:76809.0,4.0')] ).
cnf(76910,plain,
equal(not__dfg(xor__dfg(inv1,n16)),n22),
inference(rew,[status(thm),theory(equality)],[600,76890]),
[iquote('0:Rew:600.0,76890.0')] ).
cnf(76948,plain,
equal(xor__dfg(inv1,n16),not__dfg(n22)),
inference(spr,[status(thm),theory(equality)],[76910,129]),
[iquote('0:SpR:76910.0,129.0')] ).
cnf(77007,plain,
equal(xor__dfg(n21,xor__dfg(a1,n25)),inv1),
inference(spr,[status(thm),theory(equality)],[73151,161]),
[iquote('0:SpR:73151.0,161.0')] ).
cnf(77009,plain,
equal(xor__dfg(inv1,xor__dfg(a1,n25)),n21),
inference(spr,[status(thm),theory(equality)],[73151,4]),
[iquote('0:SpR:73151.0,4.0')] ).
cnf(77026,plain,
equal(xor__dfg(a1,xor__dfg(n21,n25)),inv1),
inference(rew,[status(thm),theory(equality)],[15,77007]),
[iquote('0:Rew:15.0,77007.0')] ).
cnf(77027,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,n21)))),inv1),
inference(rew,[status(thm),theory(equality)],[4420,77026,4416,39645]),
[iquote('0:Rew:4420.0,77026.0,4420.0,77026.0,4416.0,77026.0,39645.0,77026.0')] ).
cnf(77028,plain,
equal(xor__dfg(n2,xor__dfg(n3,n21)),inv1),
inference(rew,[status(thm),theory(equality)],[4,77027]),
[iquote('0:Rew:4.0,77027.0')] ).
cnf(77030,plain,
equal(xor__dfg(a1,xor__dfg(inv1,n25)),n21),
inference(rew,[status(thm),theory(equality)],[15,77009]),
[iquote('0:Rew:15.0,77009.0')] ).
cnf(77101,plain,
equal(xor__dfg(n2,n16),xor__dfg(a1,n12)),
inference(spr,[status(thm),theory(equality)],[72660,4]),
[iquote('0:SpR:72660.0,4.0')] ).
cnf(77109,plain,
equal(xor__dfg(n2,n12),xor__dfg(a1,n16)),
inference(spr,[status(thm),theory(equality)],[72660,541]),
[iquote('0:SpR:72660.0,541.0')] ).
cnf(77167,plain,
equal(xor__dfg(n4,n0),xor__dfg(o3,n21)),
inference(spr,[status(thm),theory(equality)],[73117,541]),
[iquote('0:SpR:73117.0,541.0')] ).
cnf(77176,plain,
equal(xor__dfg(n21,n0),xor__dfg(o3,n4)),
inference(spr,[status(thm),theory(equality)],[73117,569]),
[iquote('0:SpR:73117.0,569.0')] ).
cnf(77186,plain,
equal(xor__dfg(o3,n21),n4),
inference(rew,[status(thm),theory(equality)],[1,77167,14]),
[iquote('0:Rew:1.0,77167.0,14.0,77167.0')] ).
cnf(77187,plain,
equal(xor__dfg(o3,n4),n21),
inference(rew,[status(thm),theory(equality)],[1,77176,14]),
[iquote('0:Rew:1.0,77176.0,14.0,77176.0')] ).
cnf(77271,plain,
equal(xor__dfg(o3,xor__dfg(u,n4)),xor__dfg(u,n21)),
inference(spr,[status(thm),theory(equality)],[77186,541]),
[iquote('0:SpR:77186.0,541.0')] ).
cnf(77289,plain,
equal(xor__dfg(n2,xor__dfg(o3,xor__dfg(n3,n4))),inv1),
inference(rew,[status(thm),theory(equality)],[77271,77028]),
[iquote('0:Rew:77271.0,77028.0')] ).
cnf(77296,plain,
equal(xor__dfg(o3,xor__dfg(n2,n15)),inv1),
inference(rew,[status(thm),theory(equality)],[15,77289,35683]),
[iquote('0:Rew:15.0,77289.0,35683.0,77289.0')] ).
cnf(77305,plain,
equal(xor__dfg(n4,n6),xor__dfg(n3,n7)),
inference(spr,[status(thm),theory(equality)],[73158,4]),
[iquote('0:SpR:73158.0,4.0')] ).
cnf(77308,plain,
equal(xor__dfg(n3,xor__dfg(xor__dfg(n4,n6),u)),xor__dfg(n7,u)),
inference(spr,[status(thm),theory(equality)],[73158,4335]),
[iquote('0:SpR:73158.0,4335.0')] ).
cnf(77320,plain,
equal(xor__dfg(n4,xor__dfg(u,xor__dfg(n3,n6))),xor__dfg(u,n7)),
inference(spr,[status(thm),theory(equality)],[73158,546]),
[iquote('0:SpR:73158.0,546.0')] ).
cnf(77328,plain,
equal(xor__dfg(n4,n6),n8),
inference(rew,[status(thm),theory(equality)],[38495,77305]),
[iquote('0:Rew:38495.0,77305.0')] ).
cnf(77339,plain,
equal(xor__dfg(n7,u),xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,u)))),
inference(rew,[status(thm),theory(equality)],[4335,77308]),
[iquote('0:Rew:4335.0,77308.0')] ).
cnf(77341,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,n16))),n14),
inference(rew,[status(thm),theory(equality)],[77339,73536]),
[iquote('0:Rew:77339.0,73536.0')] ).
cnf(77343,plain,
equal(xor__dfg(a1,xor__dfg(n3,xor__dfg(n6,xor__dfg(i1,xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,n19))))))),n7),
inference(rew,[status(thm),theory(equality)],[77339,73637]),
[iquote('0:Rew:77339.0,73637.0')] ).
cnf(77370,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n6,xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,xor__dfg(n16,n19))))))),n7),
inference(rew,[status(thm),theory(equality)],[77339,76439]),
[iquote('0:Rew:77339.0,76439.0')] ).
cnf(77394,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,xor__dfg(u,n16)))),xor__dfg(u,n14)),
inference(rew,[status(thm),theory(equality)],[77339,76300]),
[iquote('0:Rew:77339.0,76300.0')] ).
cnf(77437,plain,
equal(xor__dfg(n9,u),xor__dfg(n2,xor__dfg(n3,xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,u)))))),
inference(rew,[status(thm),theory(equality)],[77339,72957]),
[iquote('0:Rew:77339.0,72957.0')] ).
cnf(77439,plain,
equal(xor__dfg(inv2,u),not__dfg(xor__dfg(n2,xor__dfg(n3,xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,u))))))),
inference(rew,[status(thm),theory(equality)],[77339,72958]),
[iquote('0:Rew:77339.0,72958.0')] ).
cnf(77462,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(u,n6))),xor__dfg(u,n7)),
inference(rew,[status(thm),theory(equality)],[546,77320]),
[iquote('0:Rew:546.0,77320.0')] ).
cnf(77478,plain,
equal(xor__dfg(n9,u),xor__dfg(n2,xor__dfg(n4,xor__dfg(n6,u)))),
inference(rew,[status(thm),theory(equality)],[4,77437]),
[iquote('0:Rew:4.0,77437.0')] ).
cnf(77481,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(n3,xor__dfg(n4,xor__dfg(n16,n19))))),n7),
inference(rew,[status(thm),theory(equality)],[4,77370,546]),
[iquote('0:Rew:4.0,77370.0,546.0,77370.0')] ).
cnf(77482,plain,
equal(xor__dfg(inv2,u),not__dfg(xor__dfg(n2,xor__dfg(n4,xor__dfg(n6,u))))),
inference(rew,[status(thm),theory(equality)],[4,77439]),
[iquote('0:Rew:4.0,77439.0')] ).
cnf(77483,plain,
equal(xor__dfg(a1,xor__dfg(n4,xor__dfg(i1,n19))),n7),
inference(rew,[status(thm),theory(equality)],[4,77343,546,15]),
[iquote('0:Rew:4.0,77343.0,4.0,77343.0,546.0,77343.0,15.0,77343.0,546.0,77343.0')] ).
cnf(77584,plain,
equal(xor__dfg(n21,u),xor__dfg(o3,xor__dfg(n4,u))),
inference(spr,[status(thm),theory(equality)],[77187,4335]),
[iquote('0:SpR:77187.0,4335.0')] ).
cnf(77594,plain,
equal(and__dfg(u,n21),xor__dfg(and__dfg(u,o3),and__dfg(u,n4))),
inference(spr,[status(thm),theory(equality)],[77187,11]),
[iquote('0:SpR:77187.0,11.0')] ).
cnf(77601,plain,
equal(and__dfg(n21,n18),xor__dfg(o2,xor__dfg(o3,xor__dfg(n4,n18)))),
inference(rew,[status(thm),theory(equality)],[77584,1034]),
[iquote('0:Rew:77584.0,1034.0')] ).
cnf(77602,plain,
equal(and__dfg(n21,n12),xor__dfg(o1,xor__dfg(o3,xor__dfg(n4,n12)))),
inference(rew,[status(thm),theory(equality)],[77584,1018]),
[iquote('0:Rew:77584.0,1018.0')] ).
cnf(77646,plain,
equal(and__dfg(inv1,xor__dfg(and__dfg(u,o3),and__dfg(u,n4))),xor__dfg(and__dfg(u,o3),and__dfg(u,n4))),
inference(rew,[status(thm),theory(equality)],[77594,425]),
[iquote('0:Rew:77594.0,425.0')] ).
cnf(77648,plain,
equal(xor__dfg(and__dfg(inv1,o3),and__dfg(inv1,n4)),n21),
inference(rew,[status(thm),theory(equality)],[77594,359]),
[iquote('0:Rew:77594.0,359.0')] ).
cnf(77715,plain,
equal(xor__dfg(n3,and__dfg(o3,inv1)),n21),
inference(rew,[status(thm),theory(equality)],[14,77648,16,42409]),
[iquote('0:Rew:14.0,77648.0,16.0,77648.0,42409.0,77648.0')] ).
cnf(77756,plain,
equal(xor__dfg(and__dfg(o3,and__dfg(inv1,u)),and__dfg(inv1,and__dfg(u,n4))),xor__dfg(and__dfg(u,o3),and__dfg(u,n4))),
inference(rew,[status(thm),theory(equality)],[436,77646,11]),
[iquote('0:Rew:436.0,77646.0,11.0,77646.0')] ).
cnf(77757,plain,
equal(xor__dfg(and__dfg(o3,and__dfg(inv1,u)),and__dfg(u,n3)),xor__dfg(and__dfg(u,o3),and__dfg(u,n4))),
inference(rew,[status(thm),theory(equality)],[42450,77756]),
[iquote('0:Rew:42450.0,77756.0')] ).
cnf(77944,plain,
equal(xor__dfg(xor__dfg(inv1,n25),xor__dfg(a1,u)),xor__dfg(u,n21)),
inference(spr,[status(thm),theory(equality)],[77030,4387]),
[iquote('0:SpR:77030.0,4387.0')] ).
cnf(77948,plain,
equal(xor__dfg(a1,xor__dfg(xor__dfg(inv1,n25),u)),xor__dfg(n21,u)),
inference(spr,[status(thm),theory(equality)],[77030,4335]),
[iquote('0:SpR:77030.0,4335.0')] ).
cnf(77959,plain,
equal(xor__dfg(and__dfg(u,a1),and__dfg(u,xor__dfg(inv1,n25))),and__dfg(u,n21)),
inference(spr,[status(thm),theory(equality)],[77030,11]),
[iquote('0:SpR:77030.0,11.0')] ).
cnf(77976,plain,
equal(xor__dfg(a1,xor__dfg(inv1,xor__dfg(n25,u))),xor__dfg(u,n21)),
inference(rew,[status(thm),theory(equality)],[15,77944,4335]),
[iquote('0:Rew:15.0,77944.0,15.0,77944.0,4335.0,77944.0')] ).
cnf(77977,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,u))))),xor__dfg(u,n21)),
inference(rew,[status(thm),theory(equality)],[4420,77976,39637]),
[iquote('0:Rew:4420.0,77976.0,39637.0,77976.0')] ).
cnf(77978,plain,
equal(xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,u))),xor__dfg(u,n21)),
inference(rew,[status(thm),theory(equality)],[4,77977]),
[iquote('0:Rew:4.0,77977.0')] ).
cnf(77982,plain,
equal(xor__dfg(a1,xor__dfg(inv1,xor__dfg(n25,u))),xor__dfg(n21,u)),
inference(rew,[status(thm),theory(equality)],[4335,77948]),
[iquote('0:Rew:4335.0,77948.0')] ).
cnf(77983,plain,
equal(xor__dfg(o3,xor__dfg(n4,u)),xor__dfg(a1,xor__dfg(a1,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,u)))))),
inference(rew,[status(thm),theory(equality)],[4420,77982,39637,77584]),
[iquote('0:Rew:4420.0,77982.0,39637.0,77982.0,77584.0,77982.0')] ).
cnf(77984,plain,
equal(xor__dfg(o3,xor__dfg(n4,u)),xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,u)))),
inference(rew,[status(thm),theory(equality)],[4,77983]),
[iquote('0:Rew:4.0,77983.0')] ).
cnf(77995,plain,
equal(and__dfg(n21,n12),xor__dfg(o1,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n12))))),
inference(rew,[status(thm),theory(equality)],[77984,77602]),
[iquote('0:Rew:77984.0,77602.0')] ).
cnf(77997,plain,
equal(and__dfg(n21,n18),xor__dfg(o2,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n18))))),
inference(rew,[status(thm),theory(equality)],[77984,77601]),
[iquote('0:Rew:77984.0,77601.0')] ).
cnf(78000,plain,
equal(xor__dfg(n21,u),xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,u)))),
inference(rew,[status(thm),theory(equality)],[77984,77584]),
[iquote('0:Rew:77984.0,77584.0')] ).
cnf(78028,plain,
equal(xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,inv1),and__dfg(u,n25))),and__dfg(u,n21)),
inference(rew,[status(thm),theory(equality)],[11,77959]),
[iquote('0:Rew:11.0,77959.0')] ).
cnf(78029,plain,
equal(xor__dfg(and__dfg(u,o3),and__dfg(u,n4)),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n2),and__dfg(u,n3)))))),
inference(rew,[status(thm),theory(equality)],[4420,78028,39669,77594]),
[iquote('0:Rew:4420.0,78028.0,39669.0,78028.0,77594.0,78028.0')] ).
cnf(78030,plain,
equal(xor__dfg(and__dfg(u,o3),and__dfg(u,n4)),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n2),and__dfg(u,n3)))),
inference(rew,[status(thm),theory(equality)],[4,78029]),
[iquote('0:Rew:4.0,78029.0')] ).
cnf(78031,plain,
equal(and__dfg(u,n21),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n2),and__dfg(u,n3)))),
inference(rew,[status(thm),theory(equality)],[78030,77594]),
[iquote('0:Rew:78030.0,77594.0')] ).
cnf(78032,plain,
equal(xor__dfg(and__dfg(o3,and__dfg(inv1,u)),and__dfg(u,n3)),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n2),and__dfg(u,n3)))),
inference(rew,[status(thm),theory(equality)],[78030,77757]),
[iquote('0:Rew:78030.0,77757.0')] ).
cnf(78056,plain,
equal(and__dfg(o3,inv1),xor__dfg(n3,n21)),
inference(spr,[status(thm),theory(equality)],[77715,4]),
[iquote('0:SpR:77715.0,4.0')] ).
cnf(78078,plain,
equal(and__dfg(o3,inv1),xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n3)))),
inference(rew,[status(thm),theory(equality)],[77978,78056]),
[iquote('0:Rew:77978.0,78056.0')] ).
cnf(78079,plain,
equal(and__dfg(o3,inv1),xor__dfg(inv1,n2)),
inference(rew,[status(thm),theory(equality)],[1,78078,14,3]),
[iquote('0:Rew:1.0,78078.0,14.0,78078.0,3.0,78078.0')] ).
cnf(78122,plain,
equal(xor__dfg(xor__dfg(a1,n12),u),xor__dfg(n2,xor__dfg(n16,u))),
inference(spr,[status(thm),theory(equality)],[77101,4335]),
[iquote('0:SpR:77101.0,4335.0')] ).
cnf(78124,plain,
equal(xor__dfg(n2,xor__dfg(u,xor__dfg(a1,n12))),xor__dfg(u,n16)),
inference(spr,[status(thm),theory(equality)],[77101,541]),
[iquote('0:SpR:77101.0,541.0')] ).
cnf(78142,plain,
equal(xor__dfg(n2,xor__dfg(n16,u)),xor__dfg(a1,xor__dfg(n12,u))),
inference(rew,[status(thm),theory(equality)],[4335,78122]),
[iquote('0:Rew:4335.0,78122.0')] ).
cnf(78146,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(u,n12))),xor__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[546,78124]),
[iquote('0:Rew:546.0,78124.0')] ).
cnf(78147,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n6,n12))))),n19),
inference(rew,[status(thm),theory(equality)],[78146,73654]),
[iquote('0:Rew:78146.0,73654.0')] ).
cnf(78170,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(a1,xor__dfg(n2,xor__dfg(n6,n12))))),n14),
inference(rew,[status(thm),theory(equality)],[78146,77341]),
[iquote('0:Rew:78146.0,77341.0')] ).
cnf(78178,plain,
equal(not__dfg(xor__dfg(a1,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,n12))))),n19),
inference(rew,[status(thm),theory(equality)],[15,78147]),
[iquote('0:Rew:15.0,78147.0')] ).
cnf(78184,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,n12))))),n14),
inference(rew,[status(thm),theory(equality)],[546,78170]),
[iquote('0:Rew:546.0,78170.0,546.0,78170.0')] ).
cnf(78242,plain,
equal(xor__dfg(n2,n15),xor__dfg(o3,inv1)),
inference(spr,[status(thm),theory(equality)],[77296,4]),
[iquote('0:SpR:77296.0,4.0')] ).
cnf(78250,plain,
equal(xor__dfg(n2,inv1),xor__dfg(o3,n15)),
inference(spr,[status(thm),theory(equality)],[77296,541]),
[iquote('0:SpR:77296.0,541.0')] ).
cnf(78259,plain,
equal(xor__dfg(n15,inv1),xor__dfg(o3,n2)),
inference(spr,[status(thm),theory(equality)],[77296,569]),
[iquote('0:SpR:77296.0,569.0')] ).
cnf(78269,plain,
equal(xor__dfg(inv1,n2),xor__dfg(o3,n15)),
inference(rew,[status(thm),theory(equality)],[14,78250]),
[iquote('0:Rew:14.0,78250.0')] ).
cnf(78270,plain,
equal(and__dfg(o3,inv1),xor__dfg(o3,n15)),
inference(rew,[status(thm),theory(equality)],[78269,78079]),
[iquote('0:Rew:78269.0,78079.0')] ).
cnf(78272,plain,
equal(xor__dfg(inv1,n15),xor__dfg(o3,n2)),
inference(rew,[status(thm),theory(equality)],[14,78259]),
[iquote('0:Rew:14.0,78259.0')] ).
cnf(78419,plain,
equal(xor__dfg(xor__dfg(o3,inv1),u),xor__dfg(n2,xor__dfg(n15,u))),
inference(spr,[status(thm),theory(equality)],[78242,4335]),
[iquote('0:SpR:78242.0,4335.0')] ).
cnf(78440,plain,
equal(xor__dfg(n2,xor__dfg(n15,u)),xor__dfg(o3,xor__dfg(inv1,u))),
inference(rew,[status(thm),theory(equality)],[4335,78419]),
[iquote('0:Rew:4335.0,78419.0')] ).
cnf(78441,plain,
equal(xor__dfg(n2,xor__dfg(n3,xor__dfg(n4,u))),xor__dfg(o3,xor__dfg(inv1,u))),
inference(rew,[status(thm),theory(equality)],[36029,78440]),
[iquote('0:Rew:36029.0,78440.0')] ).
cnf(78445,plain,
equal(xor__dfg(a1,xor__dfg(o3,xor__dfg(inv1,xor__dfg(n6,n12)))),n14),
inference(rew,[status(thm),theory(equality)],[78441,78184]),
[iquote('0:Rew:78441.0,78184.0')] ).
cnf(78459,plain,
equal(xor__dfg(o3,xor__dfg(a1,xor__dfg(inv1,xor__dfg(n6,n12)))),n14),
inference(rew,[status(thm),theory(equality)],[15,78445]),
[iquote('0:Rew:15.0,78445.0')] ).
cnf(78506,plain,
equal(xor__dfg(xor__dfg(o3,n2),u),xor__dfg(inv1,xor__dfg(n15,u))),
inference(spr,[status(thm),theory(equality)],[78272,4335]),
[iquote('0:SpR:78272.0,4335.0')] ).
cnf(78508,plain,
equal(xor__dfg(inv1,xor__dfg(u,xor__dfg(o3,n2))),xor__dfg(u,n15)),
inference(spr,[status(thm),theory(equality)],[78272,541]),
[iquote('0:SpR:78272.0,541.0')] ).
cnf(78527,plain,
equal(xor__dfg(inv1,xor__dfg(n15,u)),xor__dfg(o3,xor__dfg(n2,u))),
inference(rew,[status(thm),theory(equality)],[4335,78506]),
[iquote('0:Rew:4335.0,78506.0')] ).
cnf(78528,plain,
equal(xor__dfg(inv1,xor__dfg(n3,xor__dfg(n4,u))),xor__dfg(o3,xor__dfg(n2,u))),
inference(rew,[status(thm),theory(equality)],[36029,78527]),
[iquote('0:Rew:36029.0,78527.0')] ).
cnf(78534,plain,
equal(not__dfg(xor__dfg(o3,xor__dfg(n2,xor__dfg(n16,n19)))),n7),
inference(rew,[status(thm),theory(equality)],[78528,77481]),
[iquote('0:Rew:78528.0,77481.0')] ).
cnf(78536,plain,
equal(not__dfg(xor__dfg(o3,xor__dfg(a1,xor__dfg(n12,n19)))),n7),
inference(rew,[status(thm),theory(equality)],[78142,78534]),
[iquote('0:Rew:78142.0,78534.0')] ).
cnf(78537,plain,
equal(xor__dfg(o3,xor__dfg(inv1,xor__dfg(u,n2))),xor__dfg(u,n15)),
inference(rew,[status(thm),theory(equality)],[546,78508]),
[iquote('0:Rew:546.0,78508.0')] ).
cnf(78636,plain,
equal(xor__dfg(xor__dfg(n4,xor__dfg(i1,n19)),n7),a1),
inference(spr,[status(thm),theory(equality)],[77483,161]),
[iquote('0:SpR:77483.0,161.0')] ).
cnf(78659,plain,
equal(xor__dfg(n4,xor__dfg(i1,xor__dfg(n7,n19))),a1),
inference(rew,[status(thm),theory(equality)],[14,78636,4335]),
[iquote('0:Rew:14.0,78636.0,4335.0,78636.0,4335.0,78636.0')] ).
cnf(78660,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n4,xor__dfg(n6,xor__dfg(i1,n19))))),a1),
inference(rew,[status(thm),theory(equality)],[8268,78659,4420,8286,77339]),
[iquote('0:Rew:8268.0,78659.0,4420.0,78659.0,4420.0,78659.0,8286.0,78659.0,77339.0,78659.0')] ).
cnf(78661,plain,
equal(xor__dfg(n3,xor__dfg(n6,xor__dfg(i1,n19))),a1),
inference(rew,[status(thm),theory(equality)],[4,78660]),
[iquote('0:Rew:4.0,78660.0')] ).
cnf(79344,plain,
equal(xor__dfg(and__dfg(u,o3),and__dfg(u,xor__dfg(a1,xor__dfg(inv1,xor__dfg(n6,n12))))),and__dfg(u,n14)),
inference(spr,[status(thm),theory(equality)],[78459,11]),
[iquote('0:SpR:78459.0,11.0')] ).
cnf(79387,plain,
equal(and__dfg(u,n14),xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n6),and__dfg(u,n12)))))),
inference(rew,[status(thm),theory(equality)],[11,79344]),
[iquote('0:Rew:11.0,79344.0,11.0,79344.0,11.0,79344.0')] ).
cnf(79388,plain,
equal(xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),xor__dfg(and__dfg(u,n6),and__dfg(u,n16)))),xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n6),and__dfg(u,n12)))))),
inference(rew,[status(thm),theory(equality)],[74119,79387]),
[iquote('0:Rew:74119.0,79387.0')] ).
cnf(79389,plain,
equal(and__dfg(u,n14),xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n6),and__dfg(u,n12)))))),
inference(rew,[status(thm),theory(equality)],[79388,74119]),
[iquote('0:Rew:79388.0,74119.0')] ).
cnf(79390,plain,
equal(xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n6),and__dfg(u,n12))))),and__dfg(i2,and__dfg(u,i3))),
inference(rew,[status(thm),theory(equality)],[79388,74146]),
[iquote('0:Rew:79388.0,74146.0')] ).
cnf(79398,plain,
equal(xor__dfg(and__dfg(u,n6),and__dfg(u,n23)),xor__dfg(u,xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n6),and__dfg(u,n12)))))))),
inference(rew,[status(thm),theory(equality)],[79388,74885]),
[iquote('0:Rew:79388.0,74885.0')] ).
cnf(79410,plain,
equal(xor__dfg(and__dfg(u,n6),and__dfg(u,n23)),xor__dfg(u,xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n6),and__dfg(u,n12)))))),
inference(rew,[status(thm),theory(equality)],[4,79398,546]),
[iquote('0:Rew:4.0,79398.0,546.0,79398.0')] ).
cnf(81186,plain,
equal(xor__dfg(u,and__dfg(i2,and__dfg(v,i3))),xor__dfg(xor__dfg(and__dfg(v,a1),xor__dfg(and__dfg(v,inv1),xor__dfg(and__dfg(v,n6),and__dfg(v,n12)))),xor__dfg(and__dfg(v,o3),u))),
inference(spr,[status(thm),theory(equality)],[79390,4387]),
[iquote('0:SpR:79390.0,4387.0')] ).
cnf(81250,plain,
equal(xor__dfg(and__dfg(n9,o3),xor__dfg(and__dfg(n9,a1),xor__dfg(and__dfg(n9,inv1),xor__dfg(and__dfg(n9,n6),n11)))),and__dfg(i2,and__dfg(n9,i3))),
inference(spr,[status(thm),theory(equality)],[72017,79390]),
[iquote('0:SpR:72017.0,79390.0')] ).
cnf(81256,plain,
equal(xor__dfg(and__dfg(n4,o3),xor__dfg(and__dfg(n4,a1),xor__dfg(and__dfg(n4,inv1),xor__dfg(n15,and__dfg(n4,n12))))),and__dfg(i2,and__dfg(n4,i3))),
inference(spr,[status(thm),theory(equality)],[36762,79390]),
[iquote('0:SpR:36762.0,79390.0')] ).
cnf(81263,plain,
equal(xor__dfg(and__dfg(n6,o3),xor__dfg(and__dfg(n6,a1),xor__dfg(and__dfg(n6,inv1),xor__dfg(n6,and__dfg(n6,n12))))),and__dfg(i2,and__dfg(n6,i3))),
inference(spr,[status(thm),theory(equality)],[9,79390]),
[iquote('0:SpR:9.0,79390.0')] ).
cnf(81265,plain,
equal(xor__dfg(and__dfg(n2,o3),xor__dfg(and__dfg(n2,a1),xor__dfg(and__dfg(n2,inv1),xor__dfg(n0,and__dfg(n2,n12))))),and__dfg(i2,and__dfg(n2,i3))),
inference(spr,[status(thm),theory(equality)],[33399,79390]),
[iquote('0:SpR:33399.0,79390.0')] ).
cnf(81266,plain,
equal(xor__dfg(and__dfg(n21,o3),xor__dfg(and__dfg(n21,a1),xor__dfg(and__dfg(n21,inv1),xor__dfg(n0,and__dfg(n21,n12))))),and__dfg(i2,and__dfg(n21,i3))),
inference(spr,[status(thm),theory(equality)],[32578,79390]),
[iquote('0:SpR:32578.0,79390.0')] ).
cnf(81298,plain,
equal(and__dfg(i2,n2),xor__dfg(and__dfg(inv1,o3),xor__dfg(and__dfg(inv1,a1),xor__dfg(and__dfg(inv1,inv1),xor__dfg(and__dfg(inv1,n6),and__dfg(inv1,n12)))))),
inference(spr,[status(thm),theory(equality)],[22,79390]),
[iquote('0:SpR:22.0,79390.0')] ).
cnf(81304,plain,
equal(and__dfg(i2,n0),xor__dfg(and__dfg(o3,o3),xor__dfg(and__dfg(o3,a1),xor__dfg(and__dfg(o3,inv1),xor__dfg(and__dfg(o3,n6),and__dfg(o3,n12)))))),
inference(spr,[status(thm),theory(equality)],[75528,79390]),
[iquote('0:SpR:75528.0,79390.0')] ).
cnf(81305,plain,
equal(xor__dfg(a1,xor__dfg(n15,xor__dfg(and__dfg(o3,n6),and__dfg(o3,n12)))),n0),
inference(rew,[status(thm),theory(equality)],[5,81304,16,4,9,15,69629,4335,78270]),
[iquote('0:Rew:5.0,81304.0,16.0,81304.0,4.0,81304.0,9.0,81304.0,15.0,81304.0,69629.0,81304.0,4335.0,81304.0,78270.0,81304.0')] ).
cnf(81306,plain,
equal(xor__dfg(a1,xor__dfg(n3,xor__dfg(n4,xor__dfg(and__dfg(o3,n6),and__dfg(o3,n12))))),n0),
inference(rew,[status(thm),theory(equality)],[36029,81305]),
[iquote('0:Rew:36029.0,81305.0')] ).
cnf(81311,plain,
equal(xor__dfg(o3,xor__dfg(a1,xor__dfg(inv1,xor__dfg(n15,and__dfg(inv1,n12))))),n0),
inference(rew,[status(thm),theory(equality)],[33289,81298,546,4335,78270,16,379,9,1,33474]),
[iquote('0:Rew:33289.0,81298.0,546.0,81298.0,4335.0,81298.0,78270.0,81298.0,16.0,81298.0,379.0,81298.0,16.0,81298.0,9.0,81298.0,1.0,81298.0,33474.0,81298.0')] ).
cnf(81312,plain,
equal(xor__dfg(o3,xor__dfg(o3,xor__dfg(a1,xor__dfg(n2,and__dfg(inv1,n12))))),n0),
inference(rew,[status(thm),theory(equality)],[4420,81311,78528,36029]),
[iquote('0:Rew:4420.0,81311.0,78528.0,81311.0,36029.0,81311.0')] ).
cnf(81313,plain,
equal(xor__dfg(a1,xor__dfg(n2,and__dfg(inv1,n12))),n0),
inference(rew,[status(thm),theory(equality)],[4,81312]),
[iquote('0:Rew:4.0,81312.0')] ).
cnf(81314,plain,
equal(xor__dfg(and__dfg(o3,n21),xor__dfg(and__dfg(a1,n21),xor__dfg(and__dfg(inv1,n21),and__dfg(n21,n12)))),and__dfg(i2,and__dfg(i3,n21))),
inference(rew,[status(thm),theory(equality)],[16,81266,1]),
[iquote('0:Rew:16.0,81266.0,16.0,81266.0,16.0,81266.0,1.0,81266.0,16.0,81266.0')] ).
cnf(81315,plain,
equal(and__dfg(i2,xor__dfg(and__dfg(inv1,i3),xor__dfg(and__dfg(n2,i3),and__dfg(i3,n3)))),xor__dfg(inv1,xor__dfg(o1,xor__dfg(n2,xor__dfg(n3,xor__dfg(n12,xor__dfg(xor__dfg(and__dfg(o3,inv1),xor__dfg(and__dfg(o3,n2),and__dfg(o3,n3))),xor__dfg(xor__dfg(and__dfg(a1,inv1),xor__dfg(and__dfg(a1,n2),and__dfg(a1,n3))),xor__dfg(and__dfg(o3,and__dfg(inv1,inv1)),and__dfg(inv1,n3)))))))))),
inference(rew,[status(thm),theory(equality)],[4420,81314,8268,8286,78031,4416,8325,78032,77995,65412]),
[iquote('0:Rew:4420.0,81314.0,8268.0,81314.0,4420.0,81314.0,4420.0,81314.0,4420.0,81314.0,8286.0,81314.0,8286.0,81314.0,78031.0,81314.0,4420.0,81314.0,8268.0,81314.0,4420.0,81314.0,4420.0,81314.0,4420.0,81314.0,8286.0,81314.0,8286.0,81314.0,78031.0,81314.0,4420.0,81314.0,4420.0,81314.0,8268.0,81314.0,4416.0,81314.0,8325.0,81314.0,8286.0,81314.0,78032.0,81314.0,78031.0,81314.0,77995.0,81314.0,65412.0,81314.0,65412.0,81314.0,78031.0,81314.0')] ).
cnf(81316,plain,
equal(xor__dfg(o1,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n12)))),n0),
inference(rew,[status(thm),theory(equality)],[5,81315,16,3,22,1,14,1354,37502,15,564,569,4335,72015,69733,379,33285,40668,78270,9,39760]),
[iquote('0:Rew:5.0,81315.0,16.0,81315.0,3.0,81315.0,22.0,81315.0,1.0,81315.0,14.0,81315.0,1354.0,81315.0,37502.0,81315.0,15.0,81315.0,1.0,81315.0,14.0,81315.0,3.0,81315.0,1.0,81315.0,14.0,81315.0,3.0,81315.0,564.0,81315.0,569.0,81315.0,4335.0,81315.0,4335.0,81315.0,14.0,81315.0,4335.0,81315.0,1.0,81315.0,72015.0,81315.0,69733.0,81315.0,1.0,81315.0,3.0,81315.0,379.0,81315.0,1.0,81315.0,33285.0,81315.0,40668.0,81315.0,14.0,81315.0,4335.0,81315.0,78270.0,81315.0,9.0,81315.0,39760.0,81315.0')] ).
cnf(81317,plain,
equal(and__dfg(n21,n12),n0),
inference(rew,[status(thm),theory(equality)],[81316,77995]),
[iquote('0:Rew:81316.0,77995.0')] ).
cnf(81321,plain,
equal(xor__dfg(n2,and__dfg(n2,n12)),n0),
inference(rew,[status(thm),theory(equality)],[1,81265,72015,16,33285,363,33289,1354]),
[iquote('0:Rew:1.0,81265.0,72015.0,81265.0,16.0,81265.0,1.0,81265.0,33285.0,81265.0,16.0,81265.0,363.0,81265.0,16.0,81265.0,1.0,81265.0,33289.0,81265.0,1354.0,81265.0')] ).
cnf(81322,plain,
equal(xor__dfg(n6,xor__dfg(and__dfg(o3,n6),and__dfg(n6,n12))),xor__dfg(n15,n6)),
inference(rew,[status(thm),theory(equality)],[15,81263,16,1,33472,33474,4,41849,4335,41866,367,73656,55]),
[iquote('0:Rew:15.0,81263.0,16.0,81263.0,1.0,81263.0,33472.0,81263.0,16.0,81263.0,1.0,81263.0,33474.0,81263.0,16.0,81263.0,4.0,81263.0,41849.0,81263.0,4335.0,81263.0,41866.0,81263.0,367.0,81263.0,73656.0,81263.0,55.0,81263.0,16.0,81263.0')] ).
cnf(81323,plain,
equal(xor__dfg(n6,xor__dfg(and__dfg(o3,n6),and__dfg(n6,n12))),xor__dfg(n3,xor__dfg(n4,n6))),
inference(rew,[status(thm),theory(equality)],[36029,81322]),
[iquote('0:Rew:36029.0,81322.0')] ).
cnf(81324,plain,
equal(xor__dfg(n6,xor__dfg(and__dfg(o3,n6),and__dfg(n6,n12))),n7),
inference(rew,[status(thm),theory(equality)],[37537,81323,77328]),
[iquote('0:Rew:37537.0,81323.0,77328.0,81323.0')] ).
cnf(81325,plain,
equal(xor__dfg(a1,xor__dfg(n3,xor__dfg(n4,xor__dfg(n15,and__dfg(n4,n12))))),n0),
inference(rew,[status(thm),theory(equality)],[546,81256,69944,16,40669,42409,5,75521]),
[iquote('0:Rew:546.0,81256.0,69944.0,81256.0,16.0,81256.0,40669.0,81256.0,16.0,81256.0,42409.0,81256.0,16.0,81256.0,5.0,81256.0,16.0,81256.0,75521.0,81256.0,16.0,81256.0')] ).
cnf(81326,plain,
equal(xor__dfg(a1,xor__dfg(n3,xor__dfg(n3,xor__dfg(n4,xor__dfg(n4,and__dfg(n4,n12)))))),n0),
inference(rew,[status(thm),theory(equality)],[4420,81325,36029]),
[iquote('0:Rew:4420.0,81325.0,36029.0,81325.0')] ).
cnf(81327,plain,
equal(xor__dfg(a1,and__dfg(n4,n12)),n0),
inference(rew,[status(thm),theory(equality)],[4,81326]),
[iquote('0:Rew:4.0,81326.0,4.0,81326.0')] ).
cnf(81334,plain,
equal(xor__dfg(n11,xor__dfg(and__dfg(o3,n9),xor__dfg(and__dfg(a1,n9),xor__dfg(and__dfg(inv1,n9),and__dfg(n6,n9))))),and__dfg(i2,and__dfg(i3,n9))),
inference(rew,[status(thm),theory(equality)],[15,81250,16,14]),
[iquote('0:Rew:15.0,81250.0,16.0,81250.0,15.0,81250.0,16.0,81250.0,15.0,81250.0,16.0,81250.0,14.0,81250.0,16.0,81250.0,16.0,81250.0')] ).
cnf(81335,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(xor__dfg(and__dfg(o3,n2),xor__dfg(and__dfg(o3,n4),and__dfg(o3,n6))),xor__dfg(xor__dfg(and__dfg(a1,n2),xor__dfg(and__dfg(a1,n4),and__dfg(a1,n6))),xor__dfg(xor__dfg(and__dfg(inv1,n2),xor__dfg(and__dfg(inv1,n4),and__dfg(inv1,n6))),xor__dfg(and__dfg(n2,n6),xor__dfg(and__dfg(n4,n6),and__dfg(n6,n6)))))))),and__dfg(i2,xor__dfg(and__dfg(n2,i3),xor__dfg(and__dfg(i3,n4),and__dfg(i3,n6))))),
inference(rew,[status(thm),theory(equality)],[37251,81334,74180,65412]),
[iquote('0:Rew:37251.0,81334.0,74180.0,81334.0,74180.0,81334.0,74180.0,81334.0,65412.0,81334.0,65412.0,81334.0,74180.0,81334.0,65412.0,81334.0,74180.0,81334.0')] ).
cnf(81336,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n4,xor__dfg(n15,xor__dfg(n6,xor__dfg(n25,and__dfg(o3,n6))))))),xor__dfg(n15,n6)),
inference(rew,[status(thm),theory(equality)],[15,81335,4335,4387,1,72015,69944,4,33285,14,40669,33472,42349,363,42409,33474,33399,36762,9,33289,41849,41866,367,73656,11,1354,75521,55]),
[iquote('0:Rew:15.0,81335.0,15.0,81335.0,4335.0,81335.0,4387.0,81335.0,4335.0,81335.0,1.0,81335.0,72015.0,81335.0,69944.0,81335.0,4.0,81335.0,1.0,81335.0,33285.0,81335.0,1.0,81335.0,14.0,81335.0,40669.0,81335.0,33472.0,81335.0,15.0,81335.0,4387.0,81335.0,4335.0,81335.0,42349.0,81335.0,363.0,81335.0,1.0,81335.0,14.0,81335.0,42409.0,81335.0,33474.0,81335.0,1.0,81335.0,33399.0,81335.0,36762.0,81335.0,9.0,81335.0,1.0,81335.0,33289.0,81335.0,4.0,81335.0,41849.0,81335.0,4335.0,81335.0,41866.0,81335.0,367.0,81335.0,73656.0,81335.0,11.0,81335.0,1354.0,81335.0,1.0,81335.0,75521.0,81335.0,55.0,81335.0')] ).
cnf(81337,plain,
equal(xor__dfg(a1,xor__dfg(a1,xor__dfg(n2,xor__dfg(n2,xor__dfg(n3,xor__dfg(n3,xor__dfg(n4,xor__dfg(n4,xor__dfg(n6,and__dfg(o3,n6)))))))))),xor__dfg(n3,xor__dfg(n4,n6))),
inference(rew,[status(thm),theory(equality)],[4420,81336,8251,8268,8286,36029,39637]),
[iquote('0:Rew:4420.0,81336.0,8251.0,81336.0,4420.0,81336.0,8251.0,81336.0,8268.0,81336.0,8286.0,81336.0,8268.0,81336.0,4420.0,81336.0,8268.0,81336.0,4420.0,81336.0,8286.0,81336.0,36029.0,81336.0,4420.0,81336.0,4420.0,81336.0,8286.0,81336.0,39637.0,81336.0,36029.0,81336.0')] ).
cnf(81338,plain,
equal(xor__dfg(n6,and__dfg(o3,n6)),n7),
inference(rew,[status(thm),theory(equality)],[4,81337,37537,77328]),
[iquote('0:Rew:4.0,81337.0,4.0,81337.0,4.0,81337.0,4.0,81337.0,37537.0,81337.0,77328.0,81337.0')] ).
cnf(81466,plain,
equal(xor__dfg(u,and__dfg(i2,and__dfg(v,i3))),xor__dfg(and__dfg(v,o3),xor__dfg(and__dfg(v,a1),xor__dfg(and__dfg(v,inv1),xor__dfg(and__dfg(v,n6),xor__dfg(and__dfg(v,n12),u)))))),
inference(rew,[status(thm),theory(equality)],[15,81186,4335]),
[iquote('0:Rew:15.0,81186.0,15.0,81186.0,15.0,81186.0,15.0,81186.0,4335.0,81186.0,4335.0,81186.0,4335.0,81186.0')] ).
cnf(81467,plain,
equal(xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n6),xor__dfg(and__dfg(u,n12),and__dfg(u,n16)))))),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6)))),
inference(rew,[status(thm),theory(equality)],[81466,74060]),
[iquote('0:Rew:81466.0,74060.0')] ).
cnf(81495,plain,
equal(xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6))),xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n2),and__dfg(u,n6))))))),
inference(rew,[status(thm),theory(equality)],[4420,81467,8268,8325,72683]),
[iquote('0:Rew:4420.0,81467.0,4420.0,81467.0,8268.0,81467.0,8325.0,81467.0,72683.0,81467.0')] ).
cnf(81496,plain,
equal(xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),and__dfg(u,n6))),xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n2),and__dfg(u,n6))))),
inference(rew,[status(thm),theory(equality)],[4,81495]),
[iquote('0:Rew:4.0,81495.0')] ).
cnf(81497,plain,
equal(and__dfg(u,n7),xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n2),and__dfg(u,n6))))),
inference(rew,[status(thm),theory(equality)],[81496,73656]),
[iquote('0:Rew:81496.0,73656.0')] ).
cnf(81511,plain,
equal(xor__dfg(and__dfg(i2,and__dfg(i3,u)),xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n2),and__dfg(u,n6))))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[81496,74058]),
[iquote('0:Rew:81496.0,74058.0')] ).
cnf(81831,plain,
equal(xor__dfg(and__dfg(n1,o3),xor__dfg(and__dfg(n1,inv1),xor__dfg(and__dfg(n1,n2),and__dfg(n1,n6)))),n7),
inference(spr,[status(thm),theory(equality)],[81497,7]),
[iquote('0:SpR:81497.0,7.0')] ).
cnf(81861,plain,
equal(xor__dfg(and__dfg(n14,o3),xor__dfg(and__dfg(n14,inv1),xor__dfg(and__dfg(n14,n2),and__dfg(n14,n6)))),and__dfg(i2,and__dfg(i3,n7))),
inference(spr,[status(thm),theory(equality)],[81497,3162]),
[iquote('0:SpR:81497.0,3162.0')] ).
cnf(81927,plain,
equal(xor__dfg(o3,xor__dfg(inv1,xor__dfg(n2,n6))),n7),
inference(rew,[status(thm),theory(equality)],[7,81831]),
[iquote('0:Rew:7.0,81831.0,7.0,81831.0,7.0,81831.0,7.0,81831.0')] ).
cnf(82043,plain,
equal(xor__dfg(and__dfg(o3,n14),xor__dfg(and__dfg(inv1,n14),xor__dfg(and__dfg(n2,n14),and__dfg(n6,n14)))),xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2)))),
inference(rew,[status(thm),theory(equality)],[16,81861,15,4387,21,1,33289,367,81497,75528,4,22,1354,55]),
[iquote('0:Rew:16.0,81861.0,16.0,81861.0,16.0,81861.0,16.0,81861.0,15.0,81861.0,4387.0,81861.0,16.0,81861.0,21.0,81861.0,16.0,81861.0,1.0,81861.0,33289.0,81861.0,367.0,81861.0,81497.0,81861.0,1.0,81861.0,75528.0,81861.0,16.0,81861.0,4.0,81861.0,22.0,81861.0,16.0,81861.0,1354.0,81861.0,16.0,81861.0,55.0,81861.0,81497.0,81861.0')] ).
cnf(82044,plain,
equal(xor__dfg(xor__dfg(and__dfg(o3,o3),xor__dfg(and__dfg(o3,a1),xor__dfg(and__dfg(o3,inv1),xor__dfg(and__dfg(o3,n6),and__dfg(o3,n12))))),xor__dfg(and__dfg(o3,n6),xor__dfg(and__dfg(a1,n6),xor__dfg(and__dfg(inv1,n6),xor__dfg(xor__dfg(and__dfg(o3,inv1),xor__dfg(and__dfg(a1,inv1),xor__dfg(and__dfg(inv1,inv1),xor__dfg(and__dfg(inv1,n6),and__dfg(inv1,n12))))),xor__dfg(xor__dfg(and__dfg(o3,n2),xor__dfg(and__dfg(a1,n2),xor__dfg(and__dfg(inv1,n2),xor__dfg(and__dfg(n2,n6),and__dfg(n2,n12))))),xor__dfg(and__dfg(n6,n6),and__dfg(n6,n12)))))))),xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2)))),
inference(rew,[status(thm),theory(equality)],[4420,82043,79389,8268,8286,65412]),
[iquote('0:Rew:4420.0,82043.0,79389.0,82043.0,4420.0,82043.0,8268.0,82043.0,4420.0,82043.0,8286.0,82043.0,65412.0,82043.0,65412.0,82043.0,79389.0,82043.0,4420.0,82043.0,4420.0,82043.0,8286.0,82043.0,65412.0,82043.0,65412.0,82043.0,65412.0,82043.0,79389.0,82043.0,65412.0,82043.0,65412.0,82043.0,65412.0,82043.0,79389.0,82043.0')] ).
cnf(82045,plain,
equal(xor__dfg(o3,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,xor__dfg(and__dfg(o3,n12),xor__dfg(and__dfg(inv1,n12),xor__dfg(and__dfg(n2,n12),and__dfg(n6,n12)))))))),xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2)))),
inference(rew,[status(thm),theory(equality)],[4,82044,546,15,4335,9,69629,1,33472,78270,379,33474,72015,33285,363,33399]),
[iquote('0:Rew:4.0,82044.0,546.0,82044.0,4.0,82044.0,546.0,82044.0,546.0,82044.0,4.0,82044.0,546.0,82044.0,546.0,82044.0,546.0,82044.0,15.0,82044.0,546.0,82044.0,546.0,82044.0,546.0,82044.0,4335.0,82044.0,4335.0,82044.0,4335.0,82044.0,4.0,82044.0,9.0,82044.0,15.0,82044.0,69629.0,82044.0,4335.0,82044.0,546.0,82044.0,546.0,82044.0,546.0,82044.0,1.0,82044.0,33472.0,82044.0,1.0,82044.0,15.0,82044.0,546.0,82044.0,4335.0,82044.0,4335.0,82044.0,4335.0,82044.0,4335.0,82044.0,546.0,82044.0,4335.0,82044.0,78270.0,82044.0,379.0,82044.0,9.0,82044.0,1.0,82044.0,33474.0,82044.0,15.0,82044.0,4335.0,82044.0,1.0,82044.0,72015.0,82044.0,1.0,82044.0,33285.0,82044.0,363.0,82044.0,1.0,82044.0,33399.0,82044.0,9.0,82044.0')] ).
cnf(82267,plain,
equal(xor__dfg(and__dfg(n2,n12),n0),n2),
inference(spr,[status(thm),theory(equality)],[81321,161]),
[iquote('0:SpR:81321.0,161.0')] ).
cnf(82286,plain,
equal(and__dfg(n2,n12),n2),
inference(rew,[status(thm),theory(equality)],[1,82267,14]),
[iquote('0:Rew:1.0,82267.0,14.0,82267.0')] ).
cnf(82289,plain,
equal(xor__dfg(o3,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,xor__dfg(and__dfg(o3,n12),xor__dfg(and__dfg(inv1,n12),xor__dfg(n2,and__dfg(n6,n12)))))))),xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2)))),
inference(rew,[status(thm),theory(equality)],[82286,82045]),
[iquote('0:Rew:82286.0,82045.0')] ).
cnf(82329,plain,
equal(xor__dfg(o3,xor__dfg(inv1,xor__dfg(n6,xor__dfg(and__dfg(o3,n12),xor__dfg(and__dfg(inv1,n12),and__dfg(n6,n12)))))),xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2)))),
inference(rew,[status(thm),theory(equality)],[4,82289,15]),
[iquote('0:Rew:4.0,82289.0,15.0,82289.0,15.0,82289.0,15.0,82289.0')] ).
cnf(82381,plain,
equal(xor__dfg(and__dfg(n4,n12),n0),a1),
inference(spr,[status(thm),theory(equality)],[81327,161]),
[iquote('0:SpR:81327.0,161.0')] ).
cnf(82400,plain,
equal(and__dfg(n4,n12),a1),
inference(rew,[status(thm),theory(equality)],[1,82381,14]),
[iquote('0:Rew:1.0,82381.0,14.0,82381.0')] ).
cnf(82512,plain,
equal(xor__dfg(n2,xor__dfg(n16,n19)),xor__dfg(i3,n7)),
inference(spr,[status(thm),theory(equality)],[76316,541]),
[iquote('0:SpR:76316.0,541.0')] ).
cnf(82529,plain,
equal(xor__dfg(a1,xor__dfg(n12,n19)),xor__dfg(i3,n7)),
inference(rew,[status(thm),theory(equality)],[78142,82512]),
[iquote('0:Rew:78142.0,82512.0')] ).
cnf(82530,plain,
equal(not__dfg(xor__dfg(o3,xor__dfg(i3,n7))),n7),
inference(rew,[status(thm),theory(equality)],[82529,78536]),
[iquote('0:Rew:82529.0,78536.0')] ).
cnf(82685,plain,
equal(and__dfg(o3,n6),xor__dfg(n6,n7)),
inference(spr,[status(thm),theory(equality)],[81338,4]),
[iquote('0:SpR:81338.0,4.0')] ).
cnf(82705,plain,
equal(and__dfg(o3,n6),xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,n6)))),
inference(rew,[status(thm),theory(equality)],[77462,82685]),
[iquote('0:Rew:77462.0,82685.0')] ).
cnf(82706,plain,
equal(and__dfg(o3,n6),n15),
inference(rew,[status(thm),theory(equality)],[35683,82705,1,14,3]),
[iquote('0:Rew:35683.0,82705.0,1.0,82705.0,14.0,82705.0,3.0,82705.0')] ).
cnf(82708,plain,
equal(xor__dfg(a1,xor__dfg(n3,xor__dfg(n4,xor__dfg(n15,and__dfg(o3,n12))))),n0),
inference(rew,[status(thm),theory(equality)],[82706,81306]),
[iquote('0:Rew:82706.0,81306.0')] ).
cnf(82710,plain,
equal(xor__dfg(n6,xor__dfg(n15,and__dfg(n6,n12))),n7),
inference(rew,[status(thm),theory(equality)],[82706,81324]),
[iquote('0:Rew:82706.0,81324.0')] ).
cnf(82720,plain,
equal(xor__dfg(n15,xor__dfg(n6,and__dfg(n6,n12))),n7),
inference(rew,[status(thm),theory(equality)],[15,82710]),
[iquote('0:Rew:15.0,82710.0')] ).
cnf(82721,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,and__dfg(n6,n12)))),n7),
inference(rew,[status(thm),theory(equality)],[36029,82720]),
[iquote('0:Rew:36029.0,82720.0')] ).
cnf(82761,plain,
equal(xor__dfg(a1,xor__dfg(n3,xor__dfg(n3,xor__dfg(n4,xor__dfg(n4,and__dfg(o3,n12)))))),n0),
inference(rew,[status(thm),theory(equality)],[4420,82708,36029]),
[iquote('0:Rew:4420.0,82708.0,36029.0,82708.0')] ).
cnf(82762,plain,
equal(xor__dfg(a1,and__dfg(o3,n12)),n0),
inference(rew,[status(thm),theory(equality)],[4,82761]),
[iquote('0:Rew:4.0,82761.0,4.0,82761.0')] ).
cnf(82782,plain,
equal(and__dfg(o3,and__dfg(n6,u)),and__dfg(n15,u)),
inference(spr,[status(thm),theory(equality)],[82706,3038]),
[iquote('0:SpR:82706.0,3038.0')] ).
cnf(82835,plain,
equal(and__dfg(o3,and__dfg(n6,u)),xor__dfg(and__dfg(n3,u),and__dfg(n4,u))),
inference(rew,[status(thm),theory(equality)],[65437,82782]),
[iquote('0:Rew:65437.0,82782.0')] ).
cnf(82864,plain,
equal(xor__dfg(o3,xor__dfg(i3,n7)),not__dfg(n7)),
inference(spr,[status(thm),theory(equality)],[82530,129]),
[iquote('0:SpR:82530.0,129.0')] ).
cnf(82984,plain,
equal(xor__dfg(and__dfg(o3,n12),n0),a1),
inference(spr,[status(thm),theory(equality)],[82762,161]),
[iquote('0:SpR:82762.0,161.0')] ).
cnf(83003,plain,
equal(and__dfg(o3,n12),a1),
inference(rew,[status(thm),theory(equality)],[1,82984,14]),
[iquote('0:Rew:1.0,82984.0,14.0,82984.0')] ).
cnf(83006,plain,
equal(xor__dfg(o3,xor__dfg(inv1,xor__dfg(n6,xor__dfg(a1,xor__dfg(and__dfg(inv1,n12),and__dfg(n6,n12)))))),xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2)))),
inference(rew,[status(thm),theory(equality)],[83003,82329]),
[iquote('0:Rew:83003.0,82329.0')] ).
cnf(83050,plain,
equal(xor__dfg(o3,xor__dfg(a1,xor__dfg(inv1,xor__dfg(n6,xor__dfg(and__dfg(inv1,n12),and__dfg(n6,n12)))))),xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2)))),
inference(rew,[status(thm),theory(equality)],[15,83006]),
[iquote('0:Rew:15.0,83006.0,15.0,83006.0')] ).
cnf(83059,plain,
equal(and__dfg(o3,and__dfg(n12,u)),and__dfg(a1,u)),
inference(spr,[status(thm),theory(equality)],[83003,3038]),
[iquote('0:SpR:83003.0,3038.0')] ).
cnf(83844,plain,
equal(xor__dfg(n6,xor__dfg(i1,n19)),xor__dfg(n3,a1)),
inference(spr,[status(thm),theory(equality)],[78661,4]),
[iquote('0:SpR:78661.0,4.0')] ).
cnf(83866,plain,
equal(xor__dfg(n6,xor__dfg(i1,n19)),n24),
inference(rew,[status(thm),theory(equality)],[39386,83844,14]),
[iquote('0:Rew:39386.0,83844.0,14.0,83844.0')] ).
cnf(83911,plain,
equal(xor__dfg(i1,n24),xor__dfg(n6,n19)),
inference(spr,[status(thm),theory(equality)],[83866,541]),
[iquote('0:SpR:83866.0,541.0')] ).
cnf(83934,plain,
equal(xor__dfg(n6,n19),xor__dfg(n24,i1)),
inference(rew,[status(thm),theory(equality)],[14,83911]),
[iquote('0:Rew:14.0,83911.0')] ).
cnf(83935,plain,
equal(xor__dfg(n6,n19),xor__dfg(a1,xor__dfg(n3,i1))),
inference(rew,[status(thm),theory(equality)],[39497,83934]),
[iquote('0:Rew:39497.0,83934.0')] ).
cnf(84295,plain,
equal(xor__dfg(and__dfg(inv1,n12),n0),xor__dfg(a1,n2)),
inference(spr,[status(thm),theory(equality)],[81313,569]),
[iquote('0:SpR:81313.0,569.0')] ).
cnf(84303,plain,
equal(and__dfg(inv1,n12),n11),
inference(rew,[status(thm),theory(equality)],[1,84295,14,36921]),
[iquote('0:Rew:1.0,84295.0,14.0,84295.0,36921.0,84295.0')] ).
cnf(84307,plain,
equal(xor__dfg(o3,xor__dfg(a1,xor__dfg(inv1,xor__dfg(n6,xor__dfg(n11,and__dfg(n6,n12)))))),xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2)))),
inference(rew,[status(thm),theory(equality)],[84303,83050]),
[iquote('0:Rew:84303.0,83050.0')] ).
cnf(84376,plain,
equal(xor__dfg(o3,xor__dfg(a1,xor__dfg(a1,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,and__dfg(n6,n12))))))),xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2)))),
inference(rew,[status(thm),theory(equality)],[4420,84307,8268,37251]),
[iquote('0:Rew:4420.0,84307.0,4420.0,84307.0,8268.0,84307.0,37251.0,84307.0')] ).
cnf(84377,plain,
equal(xor__dfg(o3,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,and__dfg(n6,n12))))),xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2)))),
inference(rew,[status(thm),theory(equality)],[4,84376]),
[iquote('0:Rew:4.0,84376.0')] ).
cnf(84865,plain,
equal(xor__dfg(xor__dfg(inv1,xor__dfg(n2,n6)),xor__dfg(o3,u)),xor__dfg(u,n7)),
inference(spr,[status(thm),theory(equality)],[81927,4387]),
[iquote('0:SpR:81927.0,4387.0')] ).
cnf(84869,plain,
equal(xor__dfg(o3,xor__dfg(xor__dfg(inv1,xor__dfg(n2,n6)),u)),xor__dfg(n7,u)),
inference(spr,[status(thm),theory(equality)],[81927,4335]),
[iquote('0:SpR:81927.0,4335.0')] ).
cnf(84894,plain,
equal(xor__dfg(o3,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,u)))),xor__dfg(u,n7)),
inference(rew,[status(thm),theory(equality)],[15,84865,4335]),
[iquote('0:Rew:15.0,84865.0,15.0,84865.0,15.0,84865.0,4335.0,84865.0,4335.0,84865.0')] ).
cnf(84896,plain,
equal(xor__dfg(n7,u),xor__dfg(o3,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,u))))),
inference(rew,[status(thm),theory(equality)],[4335,84869]),
[iquote('0:Rew:4335.0,84869.0,4335.0,84869.0')] ).
cnf(84897,plain,
equal(xor__dfg(n3,xor__dfg(n4,xor__dfg(n6,u))),xor__dfg(o3,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,u))))),
inference(rew,[status(thm),theory(equality)],[77339,84896]),
[iquote('0:Rew:77339.0,84896.0')] ).
cnf(84906,plain,
equal(xor__dfg(o3,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,and__dfg(n6,n12))))),n7),
inference(rew,[status(thm),theory(equality)],[84897,82721]),
[iquote('0:Rew:84897.0,82721.0')] ).
cnf(84955,plain,
equal(xor__dfg(o3,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,xor__dfg(u,n16))))),xor__dfg(u,n14)),
inference(rew,[status(thm),theory(equality)],[84897,77394]),
[iquote('0:Rew:84897.0,77394.0')] ).
cnf(84968,plain,
equal(xor__dfg(a1,xor__dfg(n6,and__dfg(o3,i2))),n7),
inference(rew,[status(thm),theory(equality)],[84377,84906]),
[iquote('0:Rew:84377.0,84906.0')] ).
cnf(85560,plain,
equal(xor__dfg(a1,and__dfg(o3,i2)),xor__dfg(n6,n7)),
inference(spr,[status(thm),theory(equality)],[84968,541]),
[iquote('0:SpR:84968.0,541.0')] ).
cnf(85577,plain,
equal(xor__dfg(a1,and__dfg(o3,i2)),xor__dfg(o3,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,n6))))),
inference(rew,[status(thm),theory(equality)],[84894,85560]),
[iquote('0:Rew:84894.0,85560.0')] ).
cnf(85578,plain,
equal(xor__dfg(a1,and__dfg(o3,i2)),n15),
inference(rew,[status(thm),theory(equality)],[4,85577,78269,1,14,3]),
[iquote('0:Rew:4.0,85577.0,78269.0,85577.0,1.0,85577.0,14.0,85577.0,3.0,85577.0')] ).
cnf(85612,plain,
equal(and__dfg(o3,i2),xor__dfg(a1,n15)),
inference(spr,[status(thm),theory(equality)],[85578,4]),
[iquote('0:SpR:85578.0,4.0')] ).
cnf(86102,plain,
equal(xor__dfg(xor__dfg(i3,n7),not__dfg(n7)),o3),
inference(spr,[status(thm),theory(equality)],[82864,161]),
[iquote('0:SpR:82864.0,161.0')] ).
cnf(86125,plain,
equal(not__dfg(i3),o3),
inference(rew,[status(thm),theory(equality)],[157,86102,118,3,600,4335]),
[iquote('0:Rew:157.0,86102.0,118.0,86102.0,3.0,86102.0,600.0,86102.0,4335.0,86102.0')] ).
cnf(86126,plain,
( ~ circuit(o3)
| ~ circuit(not__dfg(i2))
| ~ circuit(not__dfg(i1)) ),
inference(rew,[status(thm),theory(equality)],[86125,51]),
[iquote('0:Rew:86125.0,51.0')] ).
cnf(86134,plain,
( ~ circuit(not__dfg(i2))
| ~ circuit(not__dfg(i1)) ),
inference(mrr,[status(thm)],[86126,50]),
[iquote('0:MRR:86126.0,50.0')] ).
cnf(86185,plain,
equal(not__dfg(o3),i3),
inference(spr,[status(thm),theory(equality)],[86125,129]),
[iquote('0:SpR:86125.0,129.0')] ).
cnf(86199,plain,
equal(and__dfg(i3,u),xor__dfg(u,and__dfg(o3,u))),
inference(spr,[status(thm),theory(equality)],[86185,14883]),
[iquote('0:SpR:86185.0,14883.0')] ).
cnf(86201,plain,
equal(and__dfg(u,i3),xor__dfg(u,and__dfg(u,o3))),
inference(spr,[status(thm),theory(equality)],[86185,912]),
[iquote('0:SpR:86185.0,912.0')] ).
cnf(86238,plain,
equal(and__dfg(n2,u),and__dfg(inv1,xor__dfg(u,and__dfg(o3,u)))),
inference(rew,[status(thm),theory(equality)],[86199,4237]),
[iquote('0:Rew:86199.0,4237.0')] ).
cnf(86244,plain,
equal(xor__dfg(i1,and__dfg(o3,i1)),n23),
inference(rew,[status(thm),theory(equality)],[86199,59]),
[iquote('0:Rew:86199.0,59.0')] ).
cnf(86872,plain,
equal(xor__dfg(and__dfg(i2,xor__dfg(u,and__dfg(o3,u))),xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n2),and__dfg(u,n6))))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[86199,81511]),
[iquote('0:Rew:86199.0,81511.0')] ).
cnf(86968,plain,
equal(xor__dfg(and__dfg(u,n23),xor__dfg(and__dfg(n6,u),and__dfg(o3,and__dfg(n6,u)))),and__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[86199,73616]),
[iquote('0:Rew:86199.0,73616.0')] ).
cnf(87121,plain,
equal(and__dfg(inv1,xor__dfg(u,and__dfg(u,o3))),and__dfg(u,n2)),
inference(rew,[status(thm),theory(equality)],[86201,423]),
[iquote('0:Rew:86201.0,423.0')] ).
cnf(87127,plain,
equal(xor__dfg(i2,and__dfg(i2,o3)),n14),
inference(rew,[status(thm),theory(equality)],[86201,34]),
[iquote('0:Rew:86201.0,34.0')] ).
cnf(87244,plain,
equal(xor__dfg(a1,xor__dfg(i2,n15)),n14),
inference(rew,[status(thm),theory(equality)],[15,87127,85612,16]),
[iquote('0:Rew:15.0,87127.0,85612.0,87127.0,16.0,87127.0')] ).
cnf(87245,plain,
equal(xor__dfg(a1,xor__dfg(o3,xor__dfg(inv1,xor__dfg(i2,n2)))),n14),
inference(rew,[status(thm),theory(equality)],[78537,87244]),
[iquote('0:Rew:78537.0,87244.0')] ).
cnf(87246,plain,
equal(xor__dfg(o3,xor__dfg(a1,xor__dfg(inv1,xor__dfg(i2,n2)))),n14),
inference(rew,[status(thm),theory(equality)],[15,87245]),
[iquote('0:Rew:15.0,87245.0')] ).
cnf(87258,plain,
equal(and__dfg(n2,u),xor__dfg(and__dfg(inv1,u),and__dfg(o3,and__dfg(inv1,u)))),
inference(rew,[status(thm),theory(equality)],[17,86238,11]),
[iquote('0:Rew:17.0,86238.0,11.0,86238.0')] ).
cnf(87377,plain,
equal(xor__dfg(and__dfg(inv1,u),and__dfg(o3,and__dfg(inv1,u))),and__dfg(u,n2)),
inference(rew,[status(thm),theory(equality)],[436,87121,11]),
[iquote('0:Rew:436.0,87121.0,11.0,87121.0')] ).
cnf(87497,plain,
equal(and__dfg(u,n19),xor__dfg(and__dfg(u,o3),xor__dfg(u,xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),xor__dfg(and__dfg(u,n6),and__dfg(u,n12)))))))),
inference(rew,[status(thm),theory(equality)],[4420,86968,8268,8286,79410,26631,64919,65698,82835]),
[iquote('0:Rew:4420.0,86968.0,8268.0,86968.0,4420.0,86968.0,8268.0,86968.0,8286.0,86968.0,4420.0,86968.0,4420.0,86968.0,8286.0,86968.0,79410.0,86968.0,4420.0,86968.0,8268.0,86968.0,26631.0,86968.0,64919.0,86968.0,65698.0,86968.0,82835.0,86968.0')] ).
cnf(87498,plain,
equal(and__dfg(u,n19),xor__dfg(u,xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),xor__dfg(and__dfg(u,n6),and__dfg(u,n12)))))))),
inference(rew,[status(thm),theory(equality)],[15,87497]),
[iquote('0:Rew:15.0,87497.0')] ).
cnf(87515,plain,
equal(xor__dfg(n6,xor__dfg(and__dfg(n6,o3),xor__dfg(and__dfg(n6,a1),xor__dfg(and__dfg(n6,n3),xor__dfg(and__dfg(n6,n4),xor__dfg(and__dfg(n6,n6),and__dfg(n6,n12))))))),n0),
inference(rew,[status(thm),theory(equality)],[87498,75520]),
[iquote('0:Rew:87498.0,75520.0')] ).
cnf(88103,plain,
equal(xor__dfg(and__dfg(i2,u),xor__dfg(and__dfg(o3,and__dfg(i2,u)),xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,inv1),xor__dfg(and__dfg(u,n2),and__dfg(u,n6)))))),and__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[4335,86872,17,11]),
[iquote('0:Rew:4335.0,86872.0,17.0,86872.0,11.0,86872.0')] ).
cnf(88104,plain,
equal(xor__dfg(and__dfg(i2,i2),xor__dfg(and__dfg(o3,and__dfg(i2,i2)),xor__dfg(and__dfg(i2,o3),xor__dfg(and__dfg(i2,inv1),xor__dfg(and__dfg(i2,n2),and__dfg(i2,n6)))))),n16),
inference(rew,[status(thm),theory(equality)],[88103,507]),
[iquote('0:Rew:88103.0,507.0')] ).
cnf(88194,plain,
equal(and__dfg(n6,n12),n0),
inference(rew,[status(thm),theory(equality)],[4,87515,82706,16,1,33472,33477,36762,9]),
[iquote('0:Rew:4.0,87515.0,4.0,87515.0,82706.0,87515.0,16.0,87515.0,1.0,87515.0,33472.0,87515.0,16.0,87515.0,1.0,87515.0,33477.0,87515.0,16.0,87515.0,36762.0,87515.0,16.0,87515.0,9.0,87515.0')] ).
cnf(88212,plain,
equal(xor__dfg(a1,xor__dfg(i2,xor__dfg(n6,and__dfg(i2,n2)))),n16),
inference(rew,[status(thm),theory(equality)],[15,88104,4,4335,85612,9,16,21,14,367]),
[iquote('0:Rew:15.0,88104.0,4.0,88104.0,4335.0,88104.0,85612.0,88104.0,9.0,88104.0,4.0,88104.0,15.0,88104.0,4335.0,88104.0,85612.0,88104.0,16.0,88104.0,21.0,88104.0,16.0,88104.0,14.0,88104.0,367.0,88104.0')] ).
cnf(88213,plain,
equal(xor__dfg(a1,xor__dfg(i2,xor__dfg(n6,xor__dfg(and__dfg(inv1,i2),and__dfg(o3,and__dfg(inv1,i2)))))),n16),
inference(rew,[status(thm),theory(equality)],[87377,88212]),
[iquote('0:Rew:87377.0,88212.0')] ).
cnf(88214,plain,
equal(xor__dfg(a1,xor__dfg(i2,n6)),n16),
inference(rew,[status(thm),theory(equality)],[1,88213,14,3,69629,21]),
[iquote('0:Rew:1.0,88213.0,14.0,88213.0,3.0,88213.0,69629.0,88213.0,21.0,88213.0')] ).
cnf(89600,plain,
equal(and__dfg(o3,i1),xor__dfg(i1,n23)),
inference(spr,[status(thm),theory(equality)],[86244,4]),
[iquote('0:SpR:86244.0,4.0')] ).
cnf(89603,plain,
equal(xor__dfg(i1,xor__dfg(and__dfg(o3,i1),u)),xor__dfg(n23,u)),
inference(spr,[status(thm),theory(equality)],[86244,4335]),
[iquote('0:SpR:86244.0,4335.0')] ).
cnf(89613,plain,
equal(xor__dfg(and__dfg(u,i1),and__dfg(u,and__dfg(o3,i1))),and__dfg(u,n23)),
inference(spr,[status(thm),theory(equality)],[86244,11]),
[iquote('0:SpR:86244.0,11.0')] ).
cnf(89618,plain,
equal(and__dfg(o3,i1),not__dfg(xor__dfg(o3,xor__dfg(a1,xor__dfg(inv1,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n2,xor__dfg(n6,xor__dfg(n6,xor__dfg(i1,n12))))))))))),
inference(rew,[status(thm),theory(equality)],[8268,89600,8251,4420,8286,78146,84955,71150]),
[iquote('0:Rew:8268.0,89600.0,8251.0,89600.0,4420.0,89600.0,8251.0,89600.0,4420.0,89600.0,8286.0,89600.0,8286.0,89600.0,8251.0,89600.0,8268.0,89600.0,8268.0,89600.0,78146.0,89600.0,84955.0,89600.0,71150.0,89600.0')] ).
cnf(89619,plain,
equal(and__dfg(o3,i1),not__dfg(xor__dfg(o3,xor__dfg(a1,xor__dfg(i1,n12))))),
inference(rew,[status(thm),theory(equality)],[4,89618]),
[iquote('0:Rew:4.0,89618.0,4.0,89618.0,4.0,89618.0')] ).
cnf(89627,plain,
equal(xor__dfg(i1,xor__dfg(not__dfg(xor__dfg(o3,xor__dfg(a1,xor__dfg(i1,n12)))),u)),xor__dfg(n23,u)),
inference(rew,[status(thm),theory(equality)],[89619,89603]),
[iquote('0:Rew:89619.0,89603.0')] ).
cnf(89628,plain,
equal(xor__dfg(n23,u),not__dfg(xor__dfg(o3,xor__dfg(a1,xor__dfg(n12,u))))),
inference(rew,[status(thm),theory(equality)],[4,89627,546,600,4335,4355]),
[iquote('0:Rew:4.0,89627.0,546.0,89627.0,600.0,89627.0,4335.0,89627.0,4335.0,89627.0,4335.0,89627.0,4355.0,89627.0')] ).
cnf(89685,plain,
equal(xor__dfg(and__dfg(u,i1),and__dfg(u,not__dfg(xor__dfg(o3,xor__dfg(a1,xor__dfg(i1,n12)))))),and__dfg(u,n23)),
inference(rew,[status(thm),theory(equality)],[89619,89613]),
[iquote('0:Rew:89619.0,89613.0')] ).
cnf(89686,plain,
equal(and__dfg(u,n23),xor__dfg(u,xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),and__dfg(u,n12))))),
inference(rew,[status(thm),theory(equality)],[4,89685,546,11,912]),
[iquote('0:Rew:4.0,89685.0,546.0,89685.0,546.0,89685.0,11.0,89685.0,11.0,89685.0,11.0,89685.0,912.0,89685.0')] ).
cnf(91028,plain,
equal(xor__dfg(i2,n6),xor__dfg(a1,n16)),
inference(spr,[status(thm),theory(equality)],[88214,4]),
[iquote('0:SpR:88214.0,4.0')] ).
cnf(91043,plain,
equal(xor__dfg(i2,xor__dfg(u,xor__dfg(a1,n6))),xor__dfg(u,n16)),
inference(spr,[status(thm),theory(equality)],[88214,546]),
[iquote('0:SpR:88214.0,546.0')] ).
cnf(91045,plain,
equal(xor__dfg(n6,n16),xor__dfg(a1,i2)),
inference(spr,[status(thm),theory(equality)],[88214,569]),
[iquote('0:SpR:88214.0,569.0')] ).
cnf(91054,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n6,n12))),xor__dfg(a1,i2)),
inference(rew,[status(thm),theory(equality)],[78146,91045]),
[iquote('0:Rew:78146.0,91045.0')] ).
cnf(91069,plain,
equal(xor__dfg(a1,xor__dfg(i2,xor__dfg(u,n6))),xor__dfg(u,n16)),
inference(rew,[status(thm),theory(equality)],[546,91043]),
[iquote('0:Rew:546.0,91043.0')] ).
cnf(91776,plain,
equal(xor__dfg(xor__dfg(a1,xor__dfg(inv1,xor__dfg(i2,n2))),xor__dfg(o3,u)),xor__dfg(u,n14)),
inference(spr,[status(thm),theory(equality)],[87246,4387]),
[iquote('0:SpR:87246.0,4387.0')] ).
cnf(91777,plain,
equal(xor__dfg(a1,xor__dfg(inv1,xor__dfg(i2,n2))),xor__dfg(o3,n14)),
inference(spr,[status(thm),theory(equality)],[87246,4]),
[iquote('0:SpR:87246.0,4.0')] ).
cnf(91802,plain,
equal(xor__dfg(o3,xor__dfg(a1,xor__dfg(inv1,xor__dfg(i2,xor__dfg(n2,u))))),xor__dfg(u,n14)),
inference(rew,[status(thm),theory(equality)],[15,91776,4335]),
[iquote('0:Rew:15.0,91776.0,15.0,91776.0,15.0,91776.0,15.0,91776.0,4335.0,91776.0,4335.0,91776.0,4335.0,91776.0')] ).
cnf(92074,plain,
equal(xor__dfg(and__dfg(u,a1),and__dfg(u,xor__dfg(n2,xor__dfg(n3,n19)))),and__dfg(u,n18)),
inference(spr,[status(thm),theory(equality)],[39543,11]),
[iquote('0:SpR:39543.0,11.0')] ).
cnf(92114,plain,
equal(xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n3),and__dfg(u,n19)))),and__dfg(u,n18)),
inference(rew,[status(thm),theory(equality)],[11,92074]),
[iquote('0:Rew:11.0,92074.0,11.0,92074.0')] ).
cnf(92115,plain,
equal(and__dfg(u,n18),xor__dfg(u,xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,a1),xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n3),xor__dfg(and__dfg(u,n4),xor__dfg(and__dfg(u,n6),and__dfg(u,n12))))))))))),
inference(rew,[status(thm),theory(equality)],[8268,92114,4420,8251,8286,87498]),
[iquote('0:Rew:8268.0,92114.0,4420.0,92114.0,8268.0,92114.0,8251.0,92114.0,8286.0,92114.0,8251.0,92114.0,4420.0,92114.0,8286.0,92114.0,87498.0,92114.0')] ).
cnf(92116,plain,
equal(and__dfg(u,n18),xor__dfg(u,xor__dfg(and__dfg(u,o3),xor__dfg(and__dfg(u,n2),xor__dfg(and__dfg(u,n4),xor__dfg(and__dfg(u,n6),and__dfg(u,n12))))))),
inference(rew,[status(thm),theory(equality)],[4,92115]),
[iquote('0:Rew:4.0,92115.0,4.0,92115.0')] ).
cnf(92126,plain,
equal(xor__dfg(n21,xor__dfg(and__dfg(n21,o3),xor__dfg(and__dfg(n21,n2),xor__dfg(and__dfg(n21,n4),xor__dfg(and__dfg(n21,n6),and__dfg(n21,n12)))))),xor__dfg(o2,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n18))))),
inference(rew,[status(thm),theory(equality)],[92116,77997]),
[iquote('0:Rew:92116.0,77997.0')] ).
cnf(92159,plain,
equal(xor__dfg(n21,xor__dfg(and__dfg(o3,n21),xor__dfg(and__dfg(n2,n21),and__dfg(n4,n21)))),xor__dfg(o2,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n18))))),
inference(rew,[status(thm),theory(equality)],[16,92126,1,14,3,32578,81317]),
[iquote('0:Rew:16.0,92126.0,16.0,92126.0,1.0,92126.0,14.0,92126.0,16.0,92126.0,3.0,92126.0,32578.0,92126.0,81317.0,92126.0')] ).
cnf(92160,plain,
equal(xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,xor__dfg(xor__dfg(and__dfg(o3,inv1),xor__dfg(and__dfg(o3,n2),and__dfg(o3,n3))),xor__dfg(xor__dfg(xor__dfg(and__dfg(inv1,inv1),xor__dfg(xor__dfg(and__dfg(inv1,inv1),and__dfg(o3,and__dfg(inv1,inv1))),and__dfg(inv1,n3))),and__dfg(o3,xor__dfg(and__dfg(inv1,inv1),xor__dfg(xor__dfg(and__dfg(inv1,inv1),and__dfg(o3,and__dfg(inv1,inv1))),and__dfg(inv1,n3))))),xor__dfg(and__dfg(inv1,n4),xor__dfg(and__dfg(inv1,n4),xor__dfg(and__dfg(inv1,n4),and__dfg(n3,n4))))))))),xor__dfg(o2,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n18))))),
inference(rew,[status(thm),theory(equality)],[78000,92159,78031,87377,87258,8325,65412,26631,69995]),
[iquote('0:Rew:78000.0,92159.0,78031.0,92159.0,87377.0,92159.0,78031.0,92159.0,87258.0,92159.0,8325.0,92159.0,65412.0,92159.0,26631.0,92159.0,69995.0,92159.0,87377.0,92159.0,78031.0,92159.0')] ).
cnf(92161,plain,
equal(xor__dfg(n2,xor__dfg(n25,and__dfg(o3,n25))),xor__dfg(o2,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n18))))),
inference(rew,[status(thm),theory(equality)],[4,92160,15,546,4335,14,1,72015,69733,69629,78270,11,42349,78272,9,39760,3,42409,40581]),
[iquote('0:Rew:4.0,92160.0,15.0,92160.0,4.0,92160.0,546.0,92160.0,4.0,92160.0,546.0,92160.0,4.0,92160.0,546.0,92160.0,4335.0,92160.0,4335.0,92160.0,14.0,92160.0,4335.0,92160.0,1.0,92160.0,72015.0,92160.0,69733.0,92160.0,1.0,92160.0,14.0,92160.0,4335.0,92160.0,4335.0,92160.0,4335.0,92160.0,4335.0,92160.0,4.0,92160.0,546.0,92160.0,546.0,92160.0,15.0,92160.0,546.0,92160.0,4335.0,92160.0,4335.0,92160.0,15.0,92160.0,69629.0,92160.0,4335.0,92160.0,78270.0,92160.0,11.0,92160.0,11.0,92160.0,15.0,92160.0,42349.0,92160.0,4.0,92160.0,78272.0,92160.0,15.0,92160.0,78270.0,92160.0,9.0,92160.0,39760.0,92160.0,3.0,92160.0,1.0,92160.0,14.0,92160.0,3.0,92160.0,42409.0,92160.0,40581.0,92160.0')] ).
cnf(92162,plain,
equal(xor__dfg(n2,xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,xor__dfg(and__dfg(o3,a1),xor__dfg(and__dfg(o3,n2),and__dfg(o3,n3))))))),xor__dfg(o2,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n18))))),
inference(rew,[status(thm),theory(equality)],[39637,92161,39669]),
[iquote('0:Rew:39637.0,92161.0,39669.0,92161.0')] ).
cnf(92163,plain,
equal(xor__dfg(o2,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n18)))),xor__dfg(a1,xor__dfg(n3,n24))),
inference(rew,[status(thm),theory(equality)],[4,92162,546,39386,69629,1,72015,69733]),
[iquote('0:Rew:4.0,92162.0,546.0,92162.0,39386.0,92162.0,69629.0,92162.0,1.0,92162.0,72015.0,92162.0,69733.0,92162.0')] ).
cnf(92164,plain,
equal(xor__dfg(o2,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n18)))),xor__dfg(a1,xor__dfg(a1,xor__dfg(n3,n3)))),
inference(rew,[status(thm),theory(equality)],[39468,92163]),
[iquote('0:Rew:39468.0,92163.0')] ).
cnf(92165,plain,
equal(xor__dfg(o2,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n3,n18)))),n0),
inference(rew,[status(thm),theory(equality)],[3,92164,1,14]),
[iquote('0:Rew:3.0,92164.0,1.0,92164.0,14.0,92164.0,3.0,92164.0')] ).
cnf(92295,plain,
equal(xor__dfg(a1,xor__dfg(i2,n2)),xor__dfg(inv1,xor__dfg(o3,n14))),
inference(spr,[status(thm),theory(equality)],[91777,541]),
[iquote('0:SpR:91777.0,541.0')] ).
cnf(92315,plain,
equal(xor__dfg(a1,xor__dfg(i2,n2)),xor__dfg(o3,xor__dfg(inv1,n14))),
inference(rew,[status(thm),theory(equality)],[15,92295]),
[iquote('0:Rew:15.0,92295.0')] ).
cnf(93634,plain,
equal(xor__dfg(and__dfg(u,inv1),and__dfg(o3,and__dfg(u,inv1))),and__dfg(u,n2)),
inference(spr,[status(thm),theory(equality)],[16,87377]),
[iquote('0:SpR:16.0,87377.0')] ).
cnf(93639,plain,
equal(xor__dfg(and__dfg(inv1,u),and__dfg(o3,and__dfg(u,inv1))),and__dfg(u,n2)),
inference(spr,[status(thm),theory(equality)],[3124,87377]),
[iquote('0:SpR:3124.0,87377.0')] ).
cnf(93808,plain,
equal(xor__dfg(n2,xor__dfg(n3,n18)),xor__dfg(a1,n19)),
inference(spr,[status(thm),theory(equality)],[39544,4]),
[iquote('0:SpR:39544.0,4.0')] ).
cnf(93811,plain,
equal(xor__dfg(a1,xor__dfg(xor__dfg(n2,xor__dfg(n3,n18)),u)),xor__dfg(n19,u)),
inference(spr,[status(thm),theory(equality)],[39544,4335]),
[iquote('0:SpR:39544.0,4335.0')] ).
cnf(93833,plain,
equal(xor__dfg(o2,xor__dfg(inv1,xor__dfg(a1,n19))),n0),
inference(rew,[status(thm),theory(equality)],[93808,92165]),
[iquote('0:Rew:93808.0,92165.0')] ).
cnf(93837,plain,
equal(xor__dfg(o2,xor__dfg(a1,xor__dfg(inv1,n19))),n0),
inference(rew,[status(thm),theory(equality)],[15,93833]),
[iquote('0:Rew:15.0,93833.0')] ).
cnf(93840,plain,
equal(xor__dfg(n19,u),xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,xor__dfg(n18,u))))),
inference(rew,[status(thm),theory(equality)],[4335,93811]),
[iquote('0:Rew:4335.0,93811.0,4335.0,93811.0')] ).
cnf(94145,plain,
equal(xor__dfg(inv2,xor__dfg(and__dfg(inv2,o3),xor__dfg(and__dfg(inv2,a1),and__dfg(inv2,n12)))),xor__dfg(n23,and__dfg(n9,n23))),
inference(spr,[status(thm),theory(equality)],[89686,18754]),
[iquote('0:SpR:89686.0,18754.0')] ).
cnf(94295,plain,
equal(xor__dfg(inv2,xor__dfg(and__dfg(o3,inv2),xor__dfg(and__dfg(a1,inv2),and__dfg(n12,inv2)))),xor__dfg(n9,xor__dfg(n11,xor__dfg(n23,xor__dfg(and__dfg(o3,n9),and__dfg(a1,n9)))))),
inference(rew,[status(thm),theory(equality)],[16,94145,546,15,14,72017,89686]),
[iquote('0:Rew:16.0,94145.0,16.0,94145.0,16.0,94145.0,546.0,94145.0,15.0,94145.0,16.0,94145.0,14.0,94145.0,16.0,94145.0,72017.0,94145.0,89686.0,94145.0')] ).
cnf(94296,plain,
equal(not__dfg(xor__dfg(n4,xor__dfg(n2,xor__dfg(n6,xor__dfg(n12,xor__dfg(xor__dfg(o3,xor__dfg(and__dfg(o3,n2),xor__dfg(and__dfg(o3,n4),and__dfg(o3,n6)))),xor__dfg(xor__dfg(a1,xor__dfg(xor__dfg(and__dfg(a1,inv1),and__dfg(a1,inv1)),xor__dfg(and__dfg(a1,n4),and__dfg(a1,n6)))),xor__dfg(xor__dfg(and__dfg(a1,inv1),and__dfg(inv1,n12)),xor__dfg(and__dfg(n4,n12),and__dfg(n6,n12)))))))))),xor__dfg(n2,xor__dfg(a1,xor__dfg(n2,xor__dfg(n4,xor__dfg(n6,not__dfg(xor__dfg(o3,xor__dfg(a1,xor__dfg(n12,xor__dfg(xor__dfg(and__dfg(o3,n2),xor__dfg(and__dfg(o3,n4),and__dfg(o3,n6))),xor__dfg(xor__dfg(and__dfg(a1,inv1),and__dfg(a1,inv1)),xor__dfg(and__dfg(a1,n4),and__dfg(a1,n6)))))))))))))),
inference(rew,[status(thm),theory(equality)],[4420,94295,8268,77482,74433,69678,93634,4416,65412,26631,83059,93639,77478,37251,89628,74180]),
[iquote('0:Rew:4420.0,94295.0,8268.0,94295.0,4420.0,94295.0,8268.0,94295.0,4420.0,94295.0,8268.0,94295.0,77482.0,94295.0,4420.0,94295.0,74433.0,94295.0,4420.0,94295.0,69678.0,94295.0,93634.0,94295.0,74433.0,94295.0,4420.0,94295.0,4416.0,94295.0,65412.0,94295.0,26631.0,94295.0,83059.0,94295.0,93639.0,94295.0,26631.0,94295.0,65412.0,94295.0,74433.0,94295.0,8268.0,94295.0,8268.0,94295.0,77478.0,94295.0,37251.0,94295.0,89628.0,94295.0,74180.0,94295.0,69678.0,94295.0,93634.0,94295.0,74180.0,94295.0')] ).
cnf(94297,plain,
equal(not__dfg(xor__dfg(o3,xor__dfg(n2,xor__dfg(n15,xor__dfg(n6,xor__dfg(n11,n12)))))),not__dfg(xor__dfg(o3,xor__dfg(a1,xor__dfg(n15,xor__dfg(n6,n12)))))),
inference(rew,[status(thm),theory(equality)],[4,94296,546,15,4387,4335,1,3,36921,14,36920,84303,82400,88194,600,72015,69944,82706,379,40669,33472]),
[iquote('0:Rew:4.0,94296.0,546.0,94296.0,15.0,94296.0,15.0,94296.0,546.0,94296.0,15.0,94296.0,4387.0,94296.0,546.0,94296.0,4335.0,94296.0,4335.0,94296.0,1.0,94296.0,3.0,94296.0,36921.0,94296.0,14.0,94296.0,36920.0,94296.0,84303.0,94296.0,1.0,94296.0,14.0,94296.0,82400.0,94296.0,88194.0,94296.0,4.0,94296.0,546.0,94296.0,600.0,94296.0,15.0,94296.0,600.0,94296.0,15.0,94296.0,600.0,94296.0,4.0,94296.0,546.0,94296.0,600.0,94296.0,15.0,94296.0,546.0,94296.0,600.0,94296.0,4.0,94296.0,14.0,94296.0,546.0,94296.0,15.0,94296.0,14.0,94296.0,4335.0,94296.0,1.0,94296.0,72015.0,94296.0,69944.0,94296.0,82706.0,94296.0,1.0,94296.0,3.0,94296.0,379.0,94296.0,1.0,94296.0,14.0,94296.0,40669.0,94296.0,33472.0,94296.0')] ).
cnf(94298,plain,
equal(not__dfg(xor__dfg(o3,xor__dfg(o3,xor__dfg(a1,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,n12))))))),not__dfg(xor__dfg(o3,xor__dfg(o3,xor__dfg(a1,xor__dfg(inv1,xor__dfg(inv1,xor__dfg(inv1,xor__dfg(i2,xor__dfg(n2,n2)))))))))),
inference(rew,[status(thm),theory(equality)],[4568,94297,8251,8285,8286,4420,91802,8268,92315,8325,91054,84897,36029,37251]),
[iquote('0:Rew:4568.0,94297.0,8251.0,94297.0,8285.0,94297.0,8286.0,94297.0,8251.0,94297.0,4420.0,94297.0,8286.0,94297.0,91802.0,94297.0,8268.0,94297.0,8286.0,94297.0,4420.0,94297.0,92315.0,94297.0,4420.0,94297.0,8268.0,94297.0,8325.0,94297.0,91054.0,94297.0,8286.0,94297.0,84897.0,94297.0,8268.0,94297.0,8268.0,94297.0,36029.0,94297.0,8268.0,94297.0,37251.0,94297.0,4420.0,94297.0,84897.0,94297.0,36029.0,94297.0')] ).
cnf(94299,plain,
equal(not__dfg(xor__dfg(a1,xor__dfg(inv1,xor__dfg(n2,xor__dfg(n6,n12))))),not__dfg(xor__dfg(a1,xor__dfg(inv1,i2)))),
inference(rew,[status(thm),theory(equality)],[4,94298,1,14,3]),
[iquote('0:Rew:4.0,94298.0,4.0,94298.0,4.0,94298.0,1.0,94298.0,14.0,94298.0,3.0,94298.0')] ).
cnf(94300,plain,
equal(not__dfg(xor__dfg(a1,xor__dfg(inv1,i2))),n19),
inference(rew,[status(thm),theory(equality)],[78178,94299]),
[iquote('0:Rew:78178.0,94299.0')] ).
cnf(94400,plain,
equal(xor__dfg(a1,xor__dfg(inv1,i2)),not__dfg(n19)),
inference(spr,[status(thm),theory(equality)],[94300,129]),
[iquote('0:SpR:94300.0,129.0')] ).
cnf(94401,plain,
equal(not__dfg(xor__dfg(xor__dfg(a1,xor__dfg(inv1,i2)),u)),xor__dfg(n19,u)),
inference(spr,[status(thm),theory(equality)],[94300,4355]),
[iquote('0:SpR:94300.0,4355.0')] ).
cnf(94407,plain,
equal(xor__dfg(n19,u),not__dfg(xor__dfg(a1,xor__dfg(inv1,xor__dfg(i2,u))))),
inference(rew,[status(thm),theory(equality)],[4335,94401]),
[iquote('0:Rew:4335.0,94401.0,4335.0,94401.0')] ).
cnf(94408,plain,
equal(xor__dfg(a1,xor__dfg(n2,xor__dfg(n3,xor__dfg(n18,u)))),not__dfg(xor__dfg(a1,xor__dfg(inv1,xor__dfg(i2,u))))),
inference(rew,[status(thm),theory(equality)],[93840,94407]),
[iquote('0:Rew:93840.0,94407.0')] ).
cnf(94409,plain,
equal(not__dfg(xor__dfg(a1,xor__dfg(inv1,xor__dfg(i2,u)))),xor__dfg(u,n19)),
inference(rew,[status(thm),theory(equality)],[94408,39650]),
[iquote('0:Rew:94408.0,39650.0')] ).
cnf(94414,plain,
equal(xor__dfg(a1,xor__dfg(n3,i1)),not__dfg(xor__dfg(a1,xor__dfg(inv1,xor__dfg(i2,n6))))),
inference(rew,[status(thm),theory(equality)],[94409,83935]),
[iquote('0:Rew:94409.0,83935.0')] ).
cnf(94440,plain,
equal(xor__dfg(a1,xor__dfg(n3,i1)),n22),
inference(rew,[status(thm),theory(equality)],[129,94414,4,600,76948,15,91028]),
[iquote('0:Rew:129.0,94414.0,4.0,94414.0,600.0,94414.0,600.0,94414.0,76948.0,94414.0,15.0,94414.0,91028.0,94414.0')] ).
cnf(94476,plain,
equal(xor__dfg(n3,i1),xor__dfg(a1,n22)),
inference(spr,[status(thm),theory(equality)],[94440,4]),
[iquote('0:SpR:94440.0,4.0')] ).
cnf(94718,plain,
equal(xor__dfg(n3,xor__dfg(a1,n22)),i1),
inference(spr,[status(thm),theory(equality)],[94476,4]),
[iquote('0:SpR:94476.0,4.0')] ).
cnf(94738,plain,
equal(xor__dfg(a1,xor__dfg(n3,n22)),i1),
inference(rew,[status(thm),theory(equality)],[15,94718]),
[iquote('0:Rew:15.0,94718.0')] ).
cnf(94739,plain,
equal(xor__dfg(a1,not__dfg(xor__dfg(inv1,xor__dfg(a1,xor__dfg(i2,xor__dfg(n3,n6)))))),i1),
inference(rew,[status(thm),theory(equality)],[91069,94738,76335]),
[iquote('0:Rew:91069.0,94738.0,76335.0,94738.0')] ).
cnf(94740,plain,
equal(not__dfg(xor__dfg(inv1,xor__dfg(i2,xor__dfg(n3,n6)))),i1),
inference(rew,[status(thm),theory(equality)],[4,94739,600,15]),
[iquote('0:Rew:4.0,94739.0,600.0,94739.0,15.0,94739.0')] ).
cnf(96903,plain,
equal(xor__dfg(inv1,not__dfg(n19)),xor__dfg(a1,i2)),
inference(spr,[status(thm),theory(equality)],[94400,541]),
[iquote('0:SpR:94400.0,541.0')] ).
cnf(96922,plain,
equal(not__dfg(xor__dfg(inv1,n19)),xor__dfg(a1,i2)),
inference(rew,[status(thm),theory(equality)],[600,96903]),
[iquote('0:Rew:600.0,96903.0')] ).
cnf(97551,plain,
equal(xor__dfg(inv1,n19),not__dfg(xor__dfg(a1,i2))),
inference(spr,[status(thm),theory(equality)],[96922,129]),
[iquote('0:SpR:96922.0,129.0')] ).
cnf(97558,plain,
equal(xor__dfg(o2,xor__dfg(a1,not__dfg(xor__dfg(a1,i2)))),n0),
inference(rew,[status(thm),theory(equality)],[97551,93837]),
[iquote('0:Rew:97551.0,93837.0')] ).
cnf(97561,plain,
equal(not__dfg(xor__dfg(o2,i2)),n0),
inference(rew,[status(thm),theory(equality)],[600,97558,4]),
[iquote('0:Rew:600.0,97558.0,4.0,97558.0,600.0,97558.0')] ).
cnf(97572,plain,
equal(xor__dfg(o2,i2),not__dfg(n0)),
inference(spr,[status(thm),theory(equality)],[97561,129]),
[iquote('0:SpR:97561.0,129.0')] ).
cnf(97578,plain,
equal(xor__dfg(o2,i2),n1),
inference(rew,[status(thm),theory(equality)],[118,97572]),
[iquote('0:Rew:118.0,97572.0')] ).
cnf(97654,plain,
equal(xor__dfg(i2,n1),o2),
inference(spr,[status(thm),theory(equality)],[97578,161]),
[iquote('0:SpR:97578.0,161.0')] ).
cnf(97656,plain,
equal(xor__dfg(o2,n1),i2),
inference(spr,[status(thm),theory(equality)],[97578,4]),
[iquote('0:SpR:97578.0,4.0')] ).
cnf(97673,plain,
equal(not__dfg(i2),o2),
inference(rew,[status(thm),theory(equality)],[157,97654]),
[iquote('0:Rew:157.0,97654.0')] ).
cnf(97674,plain,
( ~ circuit(o2)
| ~ circuit(not__dfg(i1)) ),
inference(rew,[status(thm),theory(equality)],[97673,86134]),
[iquote('0:Rew:97673.0,86134.0')] ).
cnf(97675,plain,
equal(not__dfg(o2),i2),
inference(rew,[status(thm),theory(equality)],[157,97656]),
[iquote('0:Rew:157.0,97656.0')] ).
cnf(97676,plain,
~ circuit(not__dfg(i1)),
inference(mrr,[status(thm)],[97674,49]),
[iquote('0:MRR:97674.0,49.0')] ).
cnf(97717,plain,
equal(xor__dfg(i2,u),not__dfg(xor__dfg(o2,u))),
inference(spr,[status(thm),theory(equality)],[97675,4355]),
[iquote('0:SpR:97675.0,4355.0')] ).
cnf(97724,plain,
equal(xor__dfg(a1,n16),not__dfg(xor__dfg(o2,n6))),
inference(rew,[status(thm),theory(equality)],[97717,91028]),
[iquote('0:Rew:97717.0,91028.0')] ).
cnf(97772,plain,
equal(not__dfg(xor__dfg(inv1,not__dfg(xor__dfg(o2,xor__dfg(n3,n6))))),i1),
inference(rew,[status(thm),theory(equality)],[97717,94740]),
[iquote('0:Rew:97717.0,94740.0')] ).
cnf(97834,plain,
equal(xor__dfg(n2,n12),not__dfg(xor__dfg(o2,n6))),
inference(rew,[status(thm),theory(equality)],[97724,77109]),
[iquote('0:Rew:97724.0,77109.0')] ).
cnf(98339,plain,
equal(xor__dfg(o2,xor__dfg(inv1,xor__dfg(n3,n6))),i1),
inference(rew,[status(thm),theory(equality)],[129,97772,15,600]),
[iquote('0:Rew:129.0,97772.0,15.0,97772.0,600.0,97772.0')] ).
cnf(100468,plain,
equal(xor__dfg(n2,xor__dfg(u,not__dfg(xor__dfg(o2,n6)))),xor__dfg(u,n12)),
inference(spr,[status(thm),theory(equality)],[97834,541]),
[iquote('0:SpR:97834.0,541.0')] ).
cnf(100501,plain,
equal(not__dfg(xor__dfg(o2,xor__dfg(n2,xor__dfg(u,n6)))),xor__dfg(u,n12)),
inference(rew,[status(thm),theory(equality)],[546,100468,600]),
[iquote('0:Rew:546.0,100468.0,600.0,100468.0,600.0,100468.0')] ).
cnf(100502,plain,
equal(xor__dfg(o1,xor__dfg(inv1,xor__dfg(n2,not__dfg(xor__dfg(o2,xor__dfg(n2,xor__dfg(n3,n6))))))),n0),
inference(rew,[status(thm),theory(equality)],[100501,81316]),
[iquote('0:Rew:100501.0,81316.0')] ).
cnf(100532,plain,
equal(not__dfg(xor__dfg(o1,xor__dfg(o2,xor__dfg(inv1,xor__dfg(n3,n6))))),n0),
inference(rew,[status(thm),theory(equality)],[600,100502,15,4,546]),
[iquote('0:Rew:600.0,100502.0,15.0,100502.0,600.0,100502.0,4.0,100502.0,546.0,100502.0,600.0,100502.0')] ).
cnf(100533,plain,
equal(not__dfg(xor__dfg(o1,i1)),n0),
inference(rew,[status(thm),theory(equality)],[98339,100532]),
[iquote('0:Rew:98339.0,100532.0')] ).
cnf(100556,plain,
equal(xor__dfg(o1,i1),not__dfg(n0)),
inference(spr,[status(thm),theory(equality)],[100533,129]),
[iquote('0:SpR:100533.0,129.0')] ).
cnf(100562,plain,
equal(xor__dfg(o1,i1),n1),
inference(rew,[status(thm),theory(equality)],[118,100556]),
[iquote('0:Rew:118.0,100556.0')] ).
cnf(100572,plain,
equal(xor__dfg(i1,n1),o1),
inference(spr,[status(thm),theory(equality)],[100562,161]),
[iquote('0:SpR:100562.0,161.0')] ).
cnf(100591,plain,
equal(not__dfg(i1),o1),
inference(rew,[status(thm),theory(equality)],[157,100572]),
[iquote('0:Rew:157.0,100572.0')] ).
cnf(100592,plain,
~ circuit(o1),
inference(rew,[status(thm),theory(equality)],[100591,97676]),
[iquote('0:Rew:100591.0,97676.0')] ).
cnf(100593,plain,
$false,
inference(mrr,[status(thm)],[100592,48]),
[iquote('0:MRR:100592.0,48.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV002-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 03:57:33 EDT 2022
% 0.19/0.34 % CPUTime :
% 116.83/117.11
% 116.83/117.11 SPASS V 3.9
% 116.83/117.11 SPASS beiseite: Proof found.
% 116.83/117.11 % SZS status Theorem
% 116.83/117.11 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.83/117.11 SPASS derived 49164 clauses, backtracked 0 clauses, performed 0 splits and kept 11897 clauses.
% 116.83/117.11 SPASS allocated 174125 KBytes.
% 116.83/117.11 SPASS spent 0:1:56.62 on the problem.
% 116.83/117.11 0:00:00.04 for the input.
% 116.83/117.11 0:00:00.00 for the FLOTTER CNF translation.
% 116.83/117.11 0:00:00.32 for inferences.
% 116.83/117.11 0:00:00.00 for the backtracking.
% 116.83/117.11 0:1:56.13 for the reduction.
% 116.83/117.11
% 116.83/117.11
% 116.83/117.11 Here is a proof with depth 10, length 1763 :
% 116.83/117.11 % SZS output start Refutation
% See solution above
% 118.42/118.65 Formulae used in the proof : xor_definition1 xor_definition2 xor_definition3 xor_simplification1 and_definition1 and_definition2 and_definition3 and_definition4 and_simplification1 and_simplification2 and_xor_simplification not_to_xor or_to_xor xor_symmetry xor_commutativity and_symmetry and_commutativity constructor1 constructor2 constructor3 constructor4 constructor5 constructor6 constructor7 constructor8 constructor9 constructor10 constructor11 constructor12 constructor13 constructor14 constructor15 constructor16 constructor17 constructor18 constructor19 constructor20 constructor21 constructor22 constructor23 constructor24 constructor25 constructor26 constructor27 constructor28 constructor29 constructor30 output1 output2 output3 prove_inversion
% 118.42/118.65
%------------------------------------------------------------------------------