%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HWV002-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:47:17 PM UTC 2026
% Result : Unsatisfiable 18.08s 3.11s
% Output : CNFRefutation 18.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 50
% Syntax : Number of clauses : 622 ( 617 unt; 0 nHn; 464 RR)
% Number of literals : 631 ( 607 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 39 ( 39 usr; 35 con; 0-2 aty)
% Number of variables : 215 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(and_xor_simplification,axiom,
and(X1,xor(X2,X3)) = xor(and(X1,X2),and(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_xor_simplification) ).
cnf(and_definition4,axiom,
and(X1,n1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition4) ).
cnf(xor_symmetry,negated_conjecture,
xor(X1,X2) = xor(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_symmetry) ).
cnf(and_simplification1,axiom,
and(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_simplification1) ).
cnf(xor_definition3,axiom,
xor(X1,X1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_definition3) ).
cnf(constructor25,negated_conjecture,
n22 = or(n23,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor25) ).
cnf(or_to_xor,axiom,
or(X1,X2) = xor(and(X1,X2),xor(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_to_xor) ).
cnf(constructor26,negated_conjecture,
n23 = and(i1,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor26) ).
cnf(and_symmetry,negated_conjecture,
and(X1,X2) = and(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_symmetry) ).
cnf(and_simplification2,axiom,
and(X1,and(X1,X2)) = and(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_simplification2) ).
cnf(constructor9,negated_conjecture,
n6 = and(i1,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor9) ).
cnf(constructor27,negated_conjecture,
n24 = and(i1,inv1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor27) ).
cnf(constructor29,negated_conjecture,
inv1 = not(n20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor29) ).
cnf(not_to_xor,axiom,
not(X1) = xor(n1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_to_xor) ).
cnf(constructor23,negated_conjecture,
n20 = or(n22,n14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor23) ).
cnf(and_commutativity,negated_conjecture,
and(X1,and(X2,X3)) = and(X2,and(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_commutativity) ).
cnf(constructor10,negated_conjecture,
n7 = and(n6,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor10) ).
cnf(xor_simplification1,axiom,
xor(X1,xor(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_simplification1) ).
cnf(xor_commutativity,negated_conjecture,
xor(X1,xor(X2,X3)) = xor(X2,xor(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity) ).
cnf(constructor17,negated_conjecture,
n14 = and(i2,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor17) ).
cnf(and_definition2,axiom,
and(X1,n0) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition2) ).
cnf(constructor13,negated_conjecture,
n10 = or(n24,n7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor13) ).
cnf(constructor4,negated_conjecture,
a1 = and(inv1,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor4) ).
cnf(xor_definition2,axiom,
xor(X1,n0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_definition2) ).
cnf(and_definition1,axiom,
and(n0,X1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition1) ).
cnf(constructor11,negated_conjecture,
n8 = or(a1,n10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor11) ).
cnf(constructor6,negated_conjecture,
n3 = or(a1,n24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor6) ).
cnf(constructor12,negated_conjecture,
n9 = or(n8,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor12) ).
cnf(constructor5,negated_conjecture,
n2 = and(inv1,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor5) ).
cnf(constructor30,negated_conjecture,
inv2 = not(n9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor30) ).
cnf(constructor24,negated_conjecture,
n21 = and(inv1,inv2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor24) ).
cnf(xor_definition1,axiom,
xor(n0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_definition1) ).
cnf(constructor18,negated_conjecture,
n15 = and(inv2,n6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor18) ).
cnf(constructor14,negated_conjecture,
n11 = or(a1,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor14) ).
cnf(constructor22,negated_conjecture,
n19 = and(n23,inv2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor22) ).
cnf(constructor19,negated_conjecture,
n16 = and(n14,inv2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor19) ).
cnf(constructor28,negated_conjecture,
n25 = or(n2,n24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor28) ).
cnf(constructor15,negated_conjecture,
n12 = or(n11,n16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor15) ).
cnf(constructor21,negated_conjecture,
n18 = or(n19,n25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor21) ).
cnf(constructor7,negated_conjecture,
n4 = or(n15,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor7) ).
cnf(constructor16,negated_conjecture,
n13 = or(n12,n21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor16) ).
cnf(constructor1,negated_conjecture,
o1 = n13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor1) ).
cnf(constructor20,negated_conjecture,
n17 = or(n18,n21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor20) ).
cnf(constructor8,negated_conjecture,
n5 = or(n4,n21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor8) ).
cnf(prove_inversion,negated_conjecture,
( ~ circuit(not(i3))
| ~ circuit(not(i2))
| ~ circuit(not(i1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inversion) ).
cnf(output2,negated_conjecture,
circuit(o2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',output2) ).
cnf(constructor2,negated_conjecture,
o2 = n17,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor2) ).
cnf(output3,negated_conjecture,
circuit(o3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',output3) ).
cnf(constructor3,negated_conjecture,
o3 = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor3) ).
cnf(output1,negated_conjecture,
circuit(o1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',output1) ).
cnf(c_0_50,axiom,
and(X1,xor(X2,X3)) = xor(and(X1,X2),and(X1,X3)),
and_xor_simplification ).
cnf(c_0_51,axiom,
and(X1,n1) = X1,
and_definition4 ).
cnf(c_0_52,negated_conjecture,
xor(X1,X2) = xor(X2,X1),
xor_symmetry ).
cnf(c_0_53,plain,
xor(X1,and(X1,X2)) = and(X1,xor(X2,n1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_54,axiom,
and(X1,X1) = X1,
and_simplification1 ).
cnf(c_0_55,axiom,
xor(X1,X1) = n0,
xor_definition3 ).
cnf(c_0_56,negated_conjecture,
n22 = or(n23,n6),
constructor25 ).
cnf(c_0_57,axiom,
or(X1,X2) = xor(and(X1,X2),xor(X1,X2)),
or_to_xor ).
cnf(c_0_58,negated_conjecture,
n23 = and(i1,i3),
constructor26 ).
cnf(c_0_59,negated_conjecture,
and(X1,X2) = and(X2,X1),
and_symmetry ).
cnf(c_0_60,axiom,
and(X1,and(X1,X2)) = and(X1,X2),
and_simplification2 ).
cnf(c_0_61,negated_conjecture,
n6 = and(i1,i2),
constructor9 ).
cnf(c_0_62,negated_conjecture,
n24 = and(i1,inv1),
constructor27 ).
cnf(c_0_63,plain,
and(X1,xor(X1,n1)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_64,negated_conjecture,
inv1 = not(n20),
constructor29 ).
cnf(c_0_65,axiom,
not(X1) = xor(n1,X1),
not_to_xor ).
cnf(c_0_66,negated_conjecture,
n20 = or(n22,n14),
constructor23 ).
cnf(c_0_67,negated_conjecture,
n22 = xor(and(n23,n6),xor(n23,n6)),
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_68,negated_conjecture,
and(X1,and(X2,X3)) = and(X2,and(X1,X3)),
and_commutativity ).
cnf(c_0_69,negated_conjecture,
and(i3,i1) = n23,
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
and(X1,and(X2,X1)) = and(X2,X1),
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_71,negated_conjecture,
and(i2,i1) = n6,
inference(rw,[status(thm)],[c_0_61,c_0_59]) ).
cnf(c_0_72,negated_conjecture,
n7 = and(n6,i3),
constructor10 ).
cnf(c_0_73,negated_conjecture,
and(inv1,i1) = n24,
inference(rw,[status(thm)],[c_0_62,c_0_59]) ).
cnf(c_0_74,negated_conjecture,
and(X1,xor(n1,X1)) = n0,
inference(spm,[status(thm)],[c_0_63,c_0_52]) ).
cnf(c_0_75,negated_conjecture,
inv1 = xor(n1,n20),
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_76,negated_conjecture,
n20 = xor(and(n22,n14),xor(n22,n14)),
inference(rw,[status(thm)],[c_0_66,c_0_57]) ).
cnf(c_0_77,axiom,
xor(X1,xor(X1,X2)) = X2,
xor_simplification1 ).
cnf(c_0_78,negated_conjecture,
xor(xor(n6,n23),and(n6,n23)) = n22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_59]),c_0_52]),c_0_52]) ).
cnf(c_0_79,negated_conjecture,
xor(X1,xor(X2,X3)) = xor(X2,xor(X1,X3)),
xor_commutativity ).
cnf(c_0_80,negated_conjecture,
and(i3,and(X1,i1)) = and(X1,n23),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_81,negated_conjecture,
and(n6,i1) = n6,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_59]) ).
cnf(c_0_82,negated_conjecture,
and(i3,n6) = n7,
inference(rw,[status(thm)],[c_0_72,c_0_59]) ).
cnf(c_0_83,negated_conjecture,
and(i2,and(X1,i1)) = and(X1,n6),
inference(spm,[status(thm)],[c_0_68,c_0_71]) ).
cnf(c_0_84,negated_conjecture,
and(n24,i1) = n24,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_73]),c_0_59]) ).
cnf(c_0_85,negated_conjecture,
n14 = and(i2,i3),
constructor17 ).
cnf(c_0_86,negated_conjecture,
and(inv1,n20) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_59]) ).
cnf(c_0_87,axiom,
and(X1,n0) = n0,
and_definition2 ).
cnf(c_0_88,negated_conjecture,
xor(xor(n14,n22),and(n14,n22)) = n20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_59]),c_0_52]),c_0_52]) ).
cnf(c_0_89,negated_conjecture,
xor(n6,xor(n23,n22)) = and(n6,n23),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_52]),c_0_79]),c_0_52]) ).
cnf(c_0_90,negated_conjecture,
and(n6,n23) = n7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_91,negated_conjecture,
n10 = or(n24,n7),
constructor13 ).
cnf(c_0_92,negated_conjecture,
a1 = and(inv1,i2),
constructor4 ).
cnf(c_0_93,negated_conjecture,
and(n24,i2) = and(n24,n6),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_59]) ).
cnf(c_0_94,negated_conjecture,
and(i3,i2) = n14,
inference(rw,[status(thm)],[c_0_85,c_0_59]) ).
cnf(c_0_95,negated_conjecture,
and(inv1,and(X1,n20)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_86]),c_0_87]) ).
cnf(c_0_96,negated_conjecture,
xor(and(X1,X2),and(X3,X1)) = and(X1,xor(X2,X3)),
inference(spm,[status(thm)],[c_0_50,c_0_59]) ).
cnf(c_0_97,negated_conjecture,
xor(n14,xor(n22,n20)) = and(n14,n22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_88]),c_0_52]),c_0_79]),c_0_52]) ).
cnf(c_0_98,negated_conjecture,
and(i1,n23) = n23,
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_99,negated_conjecture,
xor(n6,xor(n23,n22)) = n7,
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,negated_conjecture,
n10 = xor(and(n24,n7),xor(n24,n7)),
inference(rw,[status(thm)],[c_0_91,c_0_57]) ).
cnf(c_0_101,negated_conjecture,
and(inv1,and(X1,i2)) = and(X1,a1),
inference(spm,[status(thm)],[c_0_68,c_0_92]) ).
cnf(c_0_102,negated_conjecture,
and(n6,i2) = n6,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_71]),c_0_59]) ).
cnf(c_0_103,negated_conjecture,
and(inv1,n6) = and(n24,n6),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_73]),c_0_59]),c_0_93]) ).
cnf(c_0_104,negated_conjecture,
and(i3,and(X1,i2)) = and(X1,n14),
inference(spm,[status(thm)],[c_0_68,c_0_94]) ).
cnf(c_0_105,negated_conjecture,
and(i3,and(X1,n6)) = and(X1,n7),
inference(spm,[status(thm)],[c_0_68,c_0_82]) ).
cnf(c_0_106,negated_conjecture,
and(inv1,and(X1,i1)) = and(X1,n24),
inference(spm,[status(thm)],[c_0_68,c_0_73]) ).
cnf(c_0_107,negated_conjecture,
and(inv1,and(n20,X1)) = n0,
inference(spm,[status(thm)],[c_0_95,c_0_59]) ).
cnf(c_0_108,negated_conjecture,
and(X1,xor(X2,and(X3,X1))) = and(X1,xor(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_70]),c_0_96]) ).
cnf(c_0_109,negated_conjecture,
xor(n14,and(n14,n22)) = xor(n22,n20),
inference(spm,[status(thm)],[c_0_77,c_0_97]) ).
cnf(c_0_110,plain,
and(X1,xor(X1,X2)) = xor(X1,and(X1,X2)),
inference(spm,[status(thm)],[c_0_50,c_0_54]) ).
cnf(c_0_111,negated_conjecture,
xor(X1,xor(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_77,c_0_52]) ).
cnf(c_0_112,negated_conjecture,
and(i1,xor(n23,X1)) = xor(n23,and(i1,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_98]) ).
cnf(c_0_113,negated_conjecture,
xor(n23,n22) = xor(n6,n7),
inference(spm,[status(thm)],[c_0_77,c_0_99]) ).
cnf(c_0_114,negated_conjecture,
xor(xor(n24,n7),and(n24,n7)) = n10,
inference(rw,[status(thm)],[c_0_100,c_0_52]) ).
cnf(c_0_115,negated_conjecture,
and(n24,n6) = and(a1,n6),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_59]) ).
cnf(c_0_116,negated_conjecture,
and(n24,n7) = and(n24,n14),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_93]),c_0_105]) ).
cnf(c_0_117,negated_conjecture,
and(n24,n20) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_59]) ).
cnf(c_0_118,negated_conjecture,
xor(n22,and(n22,n20)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_55]),c_0_87]) ).
cnf(c_0_119,axiom,
xor(X1,n0) = X1,
xor_definition2 ).
cnf(c_0_120,negated_conjecture,
and(n6,n7) = n7,
inference(spm,[status(thm)],[c_0_70,c_0_82]) ).
cnf(c_0_121,negated_conjecture,
xor(n22,and(n6,n23)) = xor(n6,n23),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_78]),c_0_52]) ).
cnf(c_0_122,negated_conjecture,
and(i2,and(i1,X1)) = and(X1,n6),
inference(spm,[status(thm)],[c_0_83,c_0_59]) ).
cnf(c_0_123,negated_conjecture,
and(i1,xor(n6,n7)) = xor(n23,and(i1,n22)),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_124,negated_conjecture,
xor(n24,xor(n7,n10)) = and(n24,n7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_114]),c_0_52]),c_0_79]),c_0_52]) ).
cnf(c_0_125,negated_conjecture,
and(n24,n14) = and(a1,n7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_115]),c_0_105]),c_0_116]) ).
cnf(c_0_126,plain,
and(X1,xor(X2,and(X1,X3))) = and(X1,xor(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_60]),c_0_50]) ).
cnf(c_0_127,negated_conjecture,
xor(xor(n22,n20),and(n14,n22)) = n14,
inference(spm,[status(thm)],[c_0_111,c_0_97]) ).
cnf(c_0_128,negated_conjecture,
and(n24,and(X1,n20)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_117]),c_0_87]) ).
cnf(c_0_129,negated_conjecture,
and(n22,n20) = n22,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_118]),c_0_119]) ).
cnf(c_0_130,negated_conjecture,
and(n6,xor(n7,X1)) = xor(n7,and(n6,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_120]) ).
cnf(c_0_131,negated_conjecture,
xor(n7,n22) = xor(n6,n23),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_90]),c_0_52]) ).
cnf(c_0_132,negated_conjecture,
and(i2,xor(n23,and(i1,n22))) = xor(n6,n7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_59]),c_0_110]),c_0_120]) ).
cnf(c_0_133,negated_conjecture,
and(i2,n23) = n7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_71]),c_0_82]) ).
cnf(c_0_134,negated_conjecture,
xor(n24,xor(n7,n10)) = and(a1,n7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_116]),c_0_125]) ).
cnf(c_0_135,negated_conjecture,
and(n14,n20) = n14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_54]),c_0_52]),c_0_77]) ).
cnf(c_0_136,negated_conjecture,
and(and(X1,X2),X3) = and(X1,and(X3,X2)),
inference(spm,[status(thm)],[c_0_59,c_0_68]) ).
cnf(c_0_137,negated_conjecture,
and(n24,n22) = n0,
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_138,axiom,
and(n0,X1) = n0,
and_definition1 ).
cnf(c_0_139,negated_conjecture,
xor(n7,and(n6,n22)) = xor(n6,n7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_110]),c_0_90]) ).
cnf(c_0_140,negated_conjecture,
and(n24,i2) = and(a1,n6),
inference(rw,[status(thm)],[c_0_93,c_0_115]) ).
cnf(c_0_141,negated_conjecture,
and(xor(n6,n7),xor(n23,and(i1,n22))) = xor(n6,n7),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_132]),c_0_59]) ).
cnf(c_0_142,negated_conjecture,
xor(n6,xor(n23,n7)) = n22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_90]),c_0_52]),c_0_79]),c_0_52]) ).
cnf(c_0_143,negated_conjecture,
and(i2,n7) = n7,
inference(spm,[status(thm)],[c_0_60,c_0_133]) ).
cnf(c_0_144,negated_conjecture,
xor(xor(n7,n10),and(a1,n7)) = n24,
inference(spm,[status(thm)],[c_0_111,c_0_134]) ).
cnf(c_0_145,negated_conjecture,
and(a1,n7) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_135]),c_0_125]) ).
cnf(c_0_146,negated_conjecture,
and(n24,and(X1,n22)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_147,negated_conjecture,
and(n6,n22) = n6,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_139]),c_0_111]) ).
cnf(c_0_148,negated_conjecture,
and(a1,n6) = and(a1,n24),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_140]),c_0_68]),c_0_103]),c_0_115]),c_0_60]),c_0_59]) ).
cnf(c_0_149,negated_conjecture,
xor(n23,and(i1,n22)) = xor(n6,n7),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_123]),c_0_141]) ).
cnf(c_0_150,negated_conjecture,
xor(n23,n7) = xor(n6,n22),
inference(spm,[status(thm)],[c_0_77,c_0_142]) ).
cnf(c_0_151,negated_conjecture,
n8 = or(a1,n10),
constructor11 ).
cnf(c_0_152,negated_conjecture,
and(i2,xor(n7,X1)) = xor(n7,and(i2,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_143]) ).
cnf(c_0_153,negated_conjecture,
xor(n7,n10) = n24,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_145]),c_0_119]) ).
cnf(c_0_154,negated_conjecture,
and(a1,n24) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_115]),c_0_148]) ).
cnf(c_0_155,negated_conjecture,
n3 = or(a1,n24),
constructor6 ).
cnf(c_0_156,negated_conjecture,
and(i1,n22) = n22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_149]),c_0_79]),c_0_150]),c_0_77]) ).
cnf(c_0_157,negated_conjecture,
n8 = xor(and(a1,n10),xor(a1,n10)),
inference(rw,[status(thm)],[c_0_151,c_0_57]) ).
cnf(c_0_158,negated_conjecture,
xor(n7,and(i2,n10)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_59]),c_0_93]),c_0_115]),c_0_148]),c_0_154]) ).
cnf(c_0_159,negated_conjecture,
n3 = xor(and(a1,n24),xor(a1,n24)),
inference(rw,[status(thm)],[c_0_155,c_0_57]) ).
cnf(c_0_160,negated_conjecture,
xor(X1,xor(X2,xor(X1,X3))) = xor(X2,X3),
inference(spm,[status(thm)],[c_0_77,c_0_79]) ).
cnf(c_0_161,negated_conjecture,
and(i3,and(i2,X1)) = and(X1,n14),
inference(spm,[status(thm)],[c_0_104,c_0_59]) ).
cnf(c_0_162,negated_conjecture,
and(i2,n22) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_156]),c_0_59]),c_0_147]) ).
cnf(c_0_163,negated_conjecture,
xor(xor(a1,n10),and(a1,n10)) = n8,
inference(rw,[status(thm)],[c_0_157,c_0_52]) ).
cnf(c_0_164,negated_conjecture,
and(inv1,and(i2,X1)) = and(X1,a1),
inference(spm,[status(thm)],[c_0_101,c_0_59]) ).
cnf(c_0_165,negated_conjecture,
and(i2,n10) = n7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_158]),c_0_119]) ).
cnf(c_0_166,negated_conjecture,
and(inv1,n7) = and(n24,n14),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_103]),c_0_105]),c_0_116]) ).
cnf(c_0_167,negated_conjecture,
xor(xor(a1,n24),and(a1,n24)) = n3,
inference(rw,[status(thm)],[c_0_159,c_0_52]) ).
cnf(c_0_168,negated_conjecture,
xor(n22,and(n14,n22)) = xor(n14,n20),
inference(spm,[status(thm)],[c_0_160,c_0_97]) ).
cnf(c_0_169,negated_conjecture,
and(n14,n22) = n7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_82]),c_0_59]) ).
cnf(c_0_170,negated_conjecture,
n9 = or(n8,n2),
constructor12 ).
cnf(c_0_171,negated_conjecture,
xor(n8,and(a1,n10)) = xor(a1,n10),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_163]),c_0_52]) ).
cnf(c_0_172,negated_conjecture,
and(a1,n10) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]),c_0_125]),c_0_145]),c_0_59]) ).
cnf(c_0_173,negated_conjecture,
xor(n3,and(a1,n24)) = xor(a1,n24),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_167]),c_0_52]) ).
cnf(c_0_174,negated_conjecture,
xor(n14,n20) = xor(n6,n23),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169]),c_0_52]),c_0_131]) ).
cnf(c_0_175,negated_conjecture,
n9 = xor(and(n8,n2),xor(n8,n2)),
inference(rw,[status(thm)],[c_0_170,c_0_57]) ).
cnf(c_0_176,negated_conjecture,
xor(n7,xor(X1,n10)) = xor(X1,n24),
inference(spm,[status(thm)],[c_0_79,c_0_153]) ).
cnf(c_0_177,negated_conjecture,
xor(a1,n10) = n8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172]),c_0_119]) ).
cnf(c_0_178,negated_conjecture,
xor(a1,n24) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_154]),c_0_119]) ).
cnf(c_0_179,negated_conjecture,
and(i3,xor(X1,i1)) = xor(n23,and(i3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_69]),c_0_52]) ).
cnf(c_0_180,negated_conjecture,
xor(n6,xor(n14,n23)) = n20,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_174]),c_0_79]) ).
cnf(c_0_181,negated_conjecture,
xor(xor(n2,n8),and(n8,n2)) = n9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_52]),c_0_52]) ).
cnf(c_0_182,negated_conjecture,
n2 = and(inv1,i3),
constructor5 ).
cnf(c_0_183,negated_conjecture,
and(i3,n7) = n7,
inference(spm,[status(thm)],[c_0_60,c_0_82]) ).
cnf(c_0_184,negated_conjecture,
xor(n7,n8) = n3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_185,negated_conjecture,
and(i3,and(X1,xor(X2,i1))) = and(X1,xor(n23,and(i3,X2))),
inference(spm,[status(thm)],[c_0_68,c_0_179]) ).
cnf(c_0_186,negated_conjecture,
and(inv1,xor(i2,X1)) = xor(a1,and(inv1,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_92]) ).
cnf(c_0_187,negated_conjecture,
xor(n14,n23) = xor(n6,n20),
inference(spm,[status(thm)],[c_0_77,c_0_180]) ).
cnf(c_0_188,negated_conjecture,
and(inv1,xor(X1,n20)) = and(inv1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_86]),c_0_119]) ).
cnf(c_0_189,negated_conjecture,
xor(xor(n2,n8),and(n2,n8)) = n9,
inference(rw,[status(thm)],[c_0_181,c_0_59]) ).
cnf(c_0_190,negated_conjecture,
and(inv1,and(X1,i3)) = and(X1,n2),
inference(spm,[status(thm)],[c_0_68,c_0_182]) ).
cnf(c_0_191,negated_conjecture,
and(i3,xor(n7,X1)) = xor(n7,and(i3,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_183]) ).
cnf(c_0_192,negated_conjecture,
xor(n7,n3) = n8,
inference(spm,[status(thm)],[c_0_77,c_0_184]) ).
cnf(c_0_193,negated_conjecture,
and(i3,n3) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_73]),c_0_178]),c_0_94]),c_0_52]),c_0_187]),c_0_188]),c_0_103]),c_0_115]),c_0_148]),c_0_154]) ).
cnf(c_0_194,negated_conjecture,
inv2 = not(n9),
constructor30 ).
cnf(c_0_195,negated_conjecture,
xor(n2,xor(n8,n9)) = and(n2,n8),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_189]),c_0_52]),c_0_79]),c_0_52]) ).
cnf(c_0_196,negated_conjecture,
and(inv1,and(i3,X1)) = and(X1,n2),
inference(spm,[status(thm)],[c_0_190,c_0_59]) ).
cnf(c_0_197,negated_conjecture,
and(i3,n8) = n7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_119]) ).
cnf(c_0_198,negated_conjecture,
inv2 = xor(n1,n9),
inference(rw,[status(thm)],[c_0_194,c_0_65]) ).
cnf(c_0_199,negated_conjecture,
xor(n8,and(n2,n8)) = xor(n2,n9),
inference(spm,[status(thm)],[c_0_160,c_0_195]) ).
cnf(c_0_200,negated_conjecture,
and(n2,n8) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_166]),c_0_125]),c_0_145]),c_0_59]) ).
cnf(c_0_201,negated_conjecture,
n21 = and(inv1,inv2),
constructor24 ).
cnf(c_0_202,negated_conjecture,
xor(n1,xor(X1,n9)) = xor(X1,inv2),
inference(spm,[status(thm)],[c_0_79,c_0_198]) ).
cnf(c_0_203,negated_conjecture,
xor(n2,n9) = n8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200]),c_0_119]) ).
cnf(c_0_204,negated_conjecture,
xor(n1,inv2) = n9,
inference(spm,[status(thm)],[c_0_77,c_0_198]) ).
cnf(c_0_205,negated_conjecture,
xor(n1,xor(X1,n20)) = xor(X1,inv1),
inference(spm,[status(thm)],[c_0_79,c_0_75]) ).
cnf(c_0_206,negated_conjecture,
and(inv1,xor(X1,inv2)) = xor(n21,and(inv1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_201]),c_0_52]) ).
cnf(c_0_207,negated_conjecture,
xor(n2,inv2) = xor(n1,n8),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_208,negated_conjecture,
and(n2,inv1) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_182]),c_0_59]) ).
cnf(c_0_209,plain,
xor(X1,and(X1,X2)) = and(X1,xor(n1,X2)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_210,negated_conjecture,
and(inv1,n7) = and(a1,n7),
inference(rw,[status(thm)],[c_0_166,c_0_125]) ).
cnf(c_0_211,negated_conjecture,
and(n20,xor(X1,n24)) = and(n20,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_117]),c_0_119]) ).
cnf(c_0_212,negated_conjecture,
and(a1,n20) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_107]),c_0_59]) ).
cnf(c_0_213,negated_conjecture,
xor(n1,xor(X1,inv2)) = xor(X1,n9),
inference(spm,[status(thm)],[c_0_79,c_0_204]) ).
cnf(c_0_214,negated_conjecture,
xor(n1,xor(n20,X1)) = xor(X1,inv1),
inference(spm,[status(thm)],[c_0_205,c_0_52]) ).
cnf(c_0_215,negated_conjecture,
xor(inv1,and(inv1,n8)) = xor(n2,n21),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_59]),c_0_208]),c_0_52]),c_0_209]) ).
cnf(c_0_216,negated_conjecture,
and(inv1,n7) = n0,
inference(rw,[status(thm)],[c_0_210,c_0_145]) ).
cnf(c_0_217,axiom,
xor(n0,X1) = X1,
xor_definition1 ).
cnf(c_0_218,negated_conjecture,
xor(X1,and(X1,n20)) = and(X1,inv1),
inference(spm,[status(thm)],[c_0_209,c_0_75]) ).
cnf(c_0_219,negated_conjecture,
and(n3,n20) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_178]),c_0_59]),c_0_212]),c_0_59]) ).
cnf(c_0_220,plain,
and(X1,xor(X2,X1)) = xor(X1,and(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_54]),c_0_52]) ).
cnf(c_0_221,negated_conjecture,
xor(n20,n9) = xor(inv1,inv2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_52]) ).
cnf(c_0_222,negated_conjecture,
and(inv2,n9) = n0,
inference(spm,[status(thm)],[c_0_74,c_0_204]) ).
cnf(c_0_223,negated_conjecture,
xor(n2,xor(n21,inv1)) = and(inv1,n8),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_215]),c_0_79]),c_0_52]) ).
cnf(c_0_224,negated_conjecture,
and(inv1,xor(n7,X1)) = and(inv1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_216]),c_0_217]) ).
cnf(c_0_225,negated_conjecture,
and(inv1,n3) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_119]),c_0_59]) ).
cnf(c_0_226,negated_conjecture,
and(n9,xor(inv1,inv2)) = xor(n9,and(n20,n9)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_59]) ).
cnf(c_0_227,negated_conjecture,
and(n9,xor(X1,inv2)) = and(n9,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_222]),c_0_119]) ).
cnf(c_0_228,negated_conjecture,
and(inv1,n9) = xor(n21,inv1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_204]),c_0_51]) ).
cnf(c_0_229,negated_conjecture,
xor(n2,and(inv1,n8)) = xor(n21,inv1),
inference(spm,[status(thm)],[c_0_77,c_0_223]) ).
cnf(c_0_230,negated_conjecture,
and(inv1,n8) = n3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_184]),c_0_225]) ).
cnf(c_0_231,negated_conjecture,
xor(n9,and(n20,n9)) = xor(n21,inv1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227]),c_0_59]),c_0_228]) ).
cnf(c_0_232,negated_conjecture,
xor(n21,inv1) = xor(n2,n3),
inference(rw,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_233,negated_conjecture,
n15 = and(inv2,n6),
constructor18 ).
cnf(c_0_234,negated_conjecture,
and(inv2,and(X1,n9)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_222]),c_0_87]) ).
cnf(c_0_235,negated_conjecture,
n11 = or(a1,n2),
constructor14 ).
cnf(c_0_236,negated_conjecture,
xor(n10,and(n24,n7)) = xor(n24,n7),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_114]),c_0_52]) ).
cnf(c_0_237,negated_conjecture,
xor(n9,and(n20,n9)) = xor(n2,n3),
inference(rw,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_238,negated_conjecture,
n19 = and(n23,inv2),
constructor22 ).
cnf(c_0_239,negated_conjecture,
and(inv2,and(X1,n6)) = and(X1,n15),
inference(spm,[status(thm)],[c_0_68,c_0_233]) ).
cnf(c_0_240,negated_conjecture,
and(inv2,and(n9,X1)) = n0,
inference(spm,[status(thm)],[c_0_234,c_0_59]) ).
cnf(c_0_241,negated_conjecture,
xor(n2,and(n2,n8)) = xor(n8,n9),
inference(spm,[status(thm)],[c_0_77,c_0_195]) ).
cnf(c_0_242,negated_conjecture,
n11 = xor(and(a1,n2),xor(a1,n2)),
inference(rw,[status(thm)],[c_0_235,c_0_57]) ).
cnf(c_0_243,negated_conjecture,
xor(n10,and(n24,n14)) = xor(n24,n7),
inference(rw,[status(thm)],[c_0_236,c_0_116]) ).
cnf(c_0_244,negated_conjecture,
xor(n1,inv1) = n20,
inference(spm,[status(thm)],[c_0_77,c_0_75]) ).
cnf(c_0_245,negated_conjecture,
xor(n2,xor(n3,n9)) = and(n20,n9),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_237]),c_0_79]),c_0_52]) ).
cnf(c_0_246,negated_conjecture,
and(i3,n14) = n14,
inference(spm,[status(thm)],[c_0_60,c_0_94]) ).
cnf(c_0_247,negated_conjecture,
and(i3,n23) = n23,
inference(spm,[status(thm)],[c_0_60,c_0_69]) ).
cnf(c_0_248,negated_conjecture,
and(inv2,n23) = n19,
inference(rw,[status(thm)],[c_0_238,c_0_59]) ).
cnf(c_0_249,negated_conjecture,
n16 = and(n14,inv2),
constructor19 ).
cnf(c_0_250,negated_conjecture,
and(n15,n9) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_59]) ).
cnf(c_0_251,negated_conjecture,
xor(n8,and(n8,n9)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_241]),c_0_110]),c_0_55]),c_0_87]) ).
cnf(c_0_252,negated_conjecture,
xor(a1,xor(n8,n10)) = and(a1,n10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_163]),c_0_52]),c_0_79]) ).
cnf(c_0_253,negated_conjecture,
xor(xor(a1,n2),and(a1,n2)) = n11,
inference(rw,[status(thm)],[c_0_242,c_0_52]) ).
cnf(c_0_254,negated_conjecture,
and(inv1,n14) = and(a1,i3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_92]),c_0_59]) ).
cnf(c_0_255,negated_conjecture,
xor(n10,and(a1,n7)) = xor(n24,n7),
inference(rw,[status(thm)],[c_0_243,c_0_125]) ).
cnf(c_0_256,negated_conjecture,
xor(n1,xor(n9,X1)) = xor(X1,inv2),
inference(spm,[status(thm)],[c_0_202,c_0_52]) ).
cnf(c_0_257,negated_conjecture,
xor(n1,xor(X1,inv1)) = xor(X1,n20),
inference(spm,[status(thm)],[c_0_79,c_0_244]) ).
cnf(c_0_258,negated_conjecture,
xor(n3,and(n20,n9)) = n8,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_245]),c_0_203]) ).
cnf(c_0_259,negated_conjecture,
xor(n3,n8) = n7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_184]),c_0_52]) ).
cnf(c_0_260,negated_conjecture,
and(i3,xor(n14,X1)) = xor(n14,and(i3,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_246]) ).
cnf(c_0_261,negated_conjecture,
and(i3,xor(X1,n23)) = xor(n23,and(i3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_247]),c_0_52]) ).
cnf(c_0_262,negated_conjecture,
and(inv2,xor(X1,n23)) = xor(n19,and(inv2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_248]),c_0_52]) ).
cnf(c_0_263,negated_conjecture,
xor(xor(X1,X2),X3) = xor(X1,xor(X3,X2)),
inference(spm,[status(thm)],[c_0_52,c_0_79]) ).
cnf(c_0_264,negated_conjecture,
and(inv2,n14) = n16,
inference(rw,[status(thm)],[c_0_249,c_0_59]) ).
cnf(c_0_265,negated_conjecture,
and(n15,and(X1,n9)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_250]),c_0_87]) ).
cnf(c_0_266,negated_conjecture,
and(n8,n9) = n8,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_251]),c_0_119]) ).
cnf(c_0_267,negated_conjecture,
xor(a1,and(a1,n10)) = xor(n8,n10),
inference(spm,[status(thm)],[c_0_77,c_0_252]) ).
cnf(c_0_268,negated_conjecture,
xor(a1,xor(n2,n11)) = and(a1,n2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_253]),c_0_52]),c_0_79]),c_0_52]) ).
cnf(c_0_269,negated_conjecture,
and(a1,i3) = and(a1,n2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_254]),c_0_190]) ).
cnf(c_0_270,negated_conjecture,
xor(n24,n7) = n10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_145]),c_0_119]) ).
cnf(c_0_271,negated_conjecture,
xor(inv2,and(n20,n9)) = xor(n21,n20),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_231]),c_0_257]),c_0_52]) ).
cnf(c_0_272,negated_conjecture,
and(n20,n9) = n7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_258]),c_0_259]) ).
cnf(c_0_273,negated_conjecture,
xor(a1,xor(n24,n3)) = and(a1,n24),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_167]),c_0_52]),c_0_79]),c_0_52]) ).
cnf(c_0_274,negated_conjecture,
and(i3,xor(n23,X1)) = xor(n23,and(i3,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_247]) ).
cnf(c_0_275,negated_conjecture,
and(i3,xor(n6,X1)) = xor(n7,and(i3,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_82]) ).
cnf(c_0_276,negated_conjecture,
xor(n14,and(i3,n20)) = xor(n6,n22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_174]),c_0_261]),c_0_82]),c_0_150]) ).
cnf(c_0_277,negated_conjecture,
and(inv2,xor(X1,xor(X2,n23))) = xor(n19,and(inv2,xor(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_262]),c_0_263]),c_0_50]),c_0_263]) ).
cnf(c_0_278,negated_conjecture,
xor(n1,xor(n6,n23)) = xor(inv1,n14),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_174]),c_0_52]) ).
cnf(c_0_279,negated_conjecture,
and(inv2,xor(X1,n14)) = xor(n16,and(inv2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_264]),c_0_52]) ).
cnf(c_0_280,negated_conjecture,
and(inv2,xor(X1,n6)) = xor(n15,and(inv2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_233]),c_0_52]) ).
cnf(c_0_281,negated_conjecture,
and(inv2,xor(n14,X1)) = xor(n16,and(inv2,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_264]) ).
cnf(c_0_282,negated_conjecture,
and(inv2,xor(n23,X1)) = xor(n19,and(inv2,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_248]) ).
cnf(c_0_283,negated_conjecture,
and(inv2,xor(n6,X1)) = xor(n15,and(inv2,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_233]) ).
cnf(c_0_284,negated_conjecture,
and(inv2,n7) = and(i3,n15),
inference(spm,[status(thm)],[c_0_239,c_0_82]) ).
cnf(c_0_285,negated_conjecture,
and(X1,and(X2,X3)) = and(X2,and(X3,X1)),
inference(spm,[status(thm)],[c_0_68,c_0_59]) ).
cnf(c_0_286,negated_conjecture,
and(n15,n8) = n0,
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_287,negated_conjecture,
xor(n10,and(n8,n10)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_267]),c_0_220]),c_0_55]),c_0_87]),c_0_59]) ).
cnf(c_0_288,negated_conjecture,
xor(xor(n2,n11),and(a1,n2)) = a1,
inference(spm,[status(thm)],[c_0_111,c_0_268]) ).
cnf(c_0_289,negated_conjecture,
and(a1,n2) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_135]),c_0_254]),c_0_269]) ).
cnf(c_0_290,negated_conjecture,
xor(n24,xor(X1,n7)) = xor(X1,n10),
inference(spm,[status(thm)],[c_0_79,c_0_270]) ).
cnf(c_0_291,negated_conjecture,
xor(inv2,n7) = xor(n21,n20),
inference(rw,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_292,negated_conjecture,
xor(a1,and(a1,n24)) = xor(n24,n3),
inference(spm,[status(thm)],[c_0_77,c_0_273]) ).
cnf(c_0_293,negated_conjecture,
xor(n11,and(a1,n2)) = xor(a1,n2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_253]),c_0_52]) ).
cnf(c_0_294,negated_conjecture,
n25 = or(n2,n24),
constructor28 ).
cnf(c_0_295,negated_conjecture,
xor(n23,and(i3,n22)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_113]),c_0_275]),c_0_183]),c_0_55]) ).
cnf(c_0_296,negated_conjecture,
and(n20,xor(n6,n22)) = and(n20,xor(i3,n14)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_276]),c_0_52]) ).
cnf(c_0_297,negated_conjecture,
xor(inv2,xor(n15,n19)) = xor(n21,n16),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279]),c_0_52]),c_0_280]),c_0_51]),c_0_52]),c_0_59]),c_0_201]),c_0_52]),c_0_79]),c_0_52]) ).
cnf(c_0_298,negated_conjecture,
xor(n16,and(inv2,n20)) = xor(n15,n19),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_174]),c_0_262]),c_0_233]),c_0_52]) ).
cnf(c_0_299,negated_conjecture,
xor(n19,and(inv2,n22)) = xor(n15,and(i3,n15)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_113]),c_0_283]),c_0_284]) ).
cnf(c_0_300,negated_conjecture,
xor(n7,and(n6,n10)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_153]),c_0_59]),c_0_115]),c_0_148]),c_0_154]) ).
cnf(c_0_301,negated_conjecture,
and(n15,and(n8,X1)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_87]) ).
cnf(c_0_302,negated_conjecture,
and(n8,n10) = n10,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_287]),c_0_119]) ).
cnf(c_0_303,negated_conjecture,
and(i3,and(i1,X1)) = and(X1,n23),
inference(spm,[status(thm)],[c_0_80,c_0_59]) ).
cnf(c_0_304,negated_conjecture,
xor(n2,n11) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_289]),c_0_119]) ).
cnf(c_0_305,negated_conjecture,
xor(n1,xor(X1,xor(X2,n20))) = xor(X1,xor(X2,inv1)),
inference(spm,[status(thm)],[c_0_79,c_0_205]) ).
cnf(c_0_306,negated_conjecture,
xor(n24,xor(n21,n20)) = xor(inv2,n10),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_307,negated_conjecture,
xor(n1,xor(inv2,X1)) = xor(X1,n9),
inference(spm,[status(thm)],[c_0_213,c_0_52]) ).
cnf(c_0_308,negated_conjecture,
xor(n24,n3) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_154]),c_0_119]) ).
cnf(c_0_309,negated_conjecture,
xor(a1,n2) = n11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_289]),c_0_119]) ).
cnf(c_0_310,negated_conjecture,
n25 = xor(and(n2,n24),xor(n2,n24)),
inference(rw,[status(thm)],[c_0_294,c_0_57]) ).
cnf(c_0_311,negated_conjecture,
and(inv1,n22) = n0,
inference(spm,[status(thm)],[c_0_95,c_0_129]) ).
cnf(c_0_312,negated_conjecture,
and(i3,n22) = n23,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_295]),c_0_119]) ).
cnf(c_0_313,negated_conjecture,
and(inv1,n23) = and(n24,i3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_73]),c_0_59]) ).
cnf(c_0_314,negated_conjecture,
and(X1,and(X2,and(X1,X3))) = and(X2,and(X1,X3)),
inference(spm,[status(thm)],[c_0_60,c_0_68]) ).
cnf(c_0_315,negated_conjecture,
and(i3,and(n20,xor(i3,n14))) = xor(n6,n22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_276]),c_0_136]),c_0_136]),c_0_135]),c_0_246]),c_0_59]),c_0_296]),c_0_52]),c_0_276]) ).
cnf(c_0_316,negated_conjecture,
and(i1,and(X1,n23)) = and(X1,n23),
inference(spm,[status(thm)],[c_0_68,c_0_98]) ).
cnf(c_0_317,negated_conjecture,
xor(n6,xor(n23,n20)) = n14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_174]),c_0_79]),c_0_52]) ).
cnf(c_0_318,negated_conjecture,
and(i2,n14) = n14,
inference(spm,[status(thm)],[c_0_70,c_0_94]) ).
cnf(c_0_319,negated_conjecture,
xor(n20,and(n14,n22)) = xor(n14,n22),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_88]),c_0_52]) ).
cnf(c_0_320,negated_conjecture,
xor(X1,xor(X2,xor(X3,X1))) = xor(X2,X3),
inference(spm,[status(thm)],[c_0_79,c_0_111]) ).
cnf(c_0_321,negated_conjecture,
xor(n21,xor(inv2,n16)) = xor(n15,n19),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_297]),c_0_79]) ).
cnf(c_0_322,negated_conjecture,
xor(n15,xor(n16,n19)) = and(inv2,n20),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_298]),c_0_79]) ).
cnf(c_0_323,negated_conjecture,
xor(n15,xor(and(i3,n15),and(inv2,n22))) = n19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_299]),c_0_79]),c_0_52]) ).
cnf(c_0_324,negated_conjecture,
and(inv2,and(n6,X1)) = and(X1,n15),
inference(spm,[status(thm)],[c_0_239,c_0_59]) ).
cnf(c_0_325,negated_conjecture,
and(n6,n10) = n7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_300]),c_0_119]) ).
cnf(c_0_326,negated_conjecture,
and(n15,n10) = n0,
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_327,negated_conjecture,
and(i1,n14) = n7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_303]),c_0_133]) ).
cnf(c_0_328,negated_conjecture,
xor(a1,n11) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_304]),c_0_52]) ).
cnf(c_0_329,negated_conjecture,
xor(n10,n9) = n11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]),c_0_232]),c_0_79]),c_0_308]),c_0_52]),c_0_309]) ).
cnf(c_0_330,negated_conjecture,
xor(xor(n2,n24),and(n2,n24)) = n25,
inference(rw,[status(thm)],[c_0_310,c_0_52]) ).
cnf(c_0_331,negated_conjecture,
and(inv1,and(X1,n22)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_311]),c_0_138]) ).
cnf(c_0_332,negated_conjecture,
and(n23,n22) = n23,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_312]),c_0_59]) ).
cnf(c_0_333,negated_conjecture,
and(n24,i3) = and(n2,n24),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_313]),c_0_190]),c_0_59]) ).
cnf(c_0_334,negated_conjecture,
and(n20,xor(i3,n14)) = xor(n6,n22),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_296]) ).
cnf(c_0_335,negated_conjecture,
and(i1,n7) = n7,
inference(spm,[status(thm)],[c_0_316,c_0_90]) ).
cnf(c_0_336,negated_conjecture,
and(i2,xor(n23,X1)) = xor(n7,and(i2,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_133]) ).
cnf(c_0_337,negated_conjecture,
xor(n23,n20) = xor(n6,n14),
inference(spm,[status(thm)],[c_0_77,c_0_317]) ).
cnf(c_0_338,negated_conjecture,
and(i2,xor(X1,n14)) = xor(n14,and(i2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_318]),c_0_52]) ).
cnf(c_0_339,negated_conjecture,
xor(X1,and(X1,n9)) = and(X1,inv2),
inference(spm,[status(thm)],[c_0_209,c_0_198]) ).
cnf(c_0_340,negated_conjecture,
xor(n7,n20) = xor(n14,n22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_169]),c_0_52]) ).
cnf(c_0_341,negated_conjecture,
and(inv2,n20) = xor(n21,inv2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_79]),c_0_322]) ).
cnf(c_0_342,negated_conjecture,
and(n14,and(X1,n20)) = and(X1,n14),
inference(spm,[status(thm)],[c_0_68,c_0_135]) ).
cnf(c_0_343,negated_conjecture,
xor(and(i3,n15),and(inv2,n22)) = xor(n15,n19),
inference(spm,[status(thm)],[c_0_77,c_0_323]) ).
cnf(c_0_344,negated_conjecture,
and(i3,n15) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_284]),c_0_59]),c_0_326]) ).
cnf(c_0_345,negated_conjecture,
and(n23,n7) = n7,
inference(spm,[status(thm)],[c_0_70,c_0_90]) ).
cnf(c_0_346,negated_conjecture,
and(n14,n23) = n7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_327]),c_0_183]) ).
cnf(c_0_347,negated_conjecture,
and(i3,and(X1,n23)) = and(X1,n23),
inference(spm,[status(thm)],[c_0_68,c_0_247]) ).
cnf(c_0_348,negated_conjecture,
xor(a1,xor(X1,n11)) = xor(X1,n2),
inference(spm,[status(thm)],[c_0_79,c_0_328]) ).
cnf(c_0_349,negated_conjecture,
xor(n10,n11) = n9,
inference(spm,[status(thm)],[c_0_77,c_0_329]) ).
cnf(c_0_350,negated_conjecture,
xor(n25,and(n2,n24)) = xor(n2,n24),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_330]),c_0_52]) ).
cnf(c_0_351,negated_conjecture,
and(n2,n24) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_313]),c_0_333]) ).
cnf(c_0_352,negated_conjecture,
and(xor(i3,n14),xor(n6,n22)) = xor(n6,n22),
inference(spm,[status(thm)],[c_0_70,c_0_334]) ).
cnf(c_0_353,negated_conjecture,
xor(n6,xor(n14,n22)) = and(i3,n20),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_276]),c_0_79]) ).
cnf(c_0_354,negated_conjecture,
and(i1,xor(n6,n22)) = xor(n6,n22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_150]),c_0_335]),c_0_150]) ).
cnf(c_0_355,negated_conjecture,
n12 = or(n11,n16),
constructor15 ).
cnf(c_0_356,negated_conjecture,
xor(n7,and(i2,n20)) = xor(n6,n14),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]),c_0_59]),c_0_102]),c_0_52]) ).
cnf(c_0_357,negated_conjecture,
xor(n14,n22) = xor(n21,inv2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_272]),c_0_52]),c_0_340]),c_0_59]),c_0_341]) ).
cnf(c_0_358,negated_conjecture,
and(n14,xor(n21,inv2)) = n16,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_341]),c_0_264]) ).
cnf(c_0_359,negated_conjecture,
and(inv2,n22) = xor(n15,n19),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_343,c_0_344]),c_0_217]) ).
cnf(c_0_360,negated_conjecture,
xor(n15,and(inv2,n20)) = xor(n16,n19),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_187]),c_0_283]),c_0_264]),c_0_52]) ).
cnf(c_0_361,negated_conjecture,
and(inv2,and(X1,n14)) = and(X1,n16),
inference(spm,[status(thm)],[c_0_68,c_0_264]) ).
cnf(c_0_362,negated_conjecture,
and(inv2,and(X1,n23)) = and(X1,n19),
inference(spm,[status(thm)],[c_0_68,c_0_248]) ).
cnf(c_0_363,negated_conjecture,
and(n23,xor(n7,X1)) = xor(n7,and(n23,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_345]) ).
cnf(c_0_364,negated_conjecture,
xor(n7,and(i3,n20)) = xor(n6,n20),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_340]),c_0_260]),c_0_312]),c_0_187]) ).
cnf(c_0_365,negated_conjecture,
and(n23,xor(n6,n20)) = xor(n6,n22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_187]),c_0_59]),c_0_346]),c_0_150]) ).
cnf(c_0_366,negated_conjecture,
and(i3,and(n23,X1)) = and(n23,X1),
inference(spm,[status(thm)],[c_0_347,c_0_59]) ).
cnf(c_0_367,negated_conjecture,
xor(n2,n10) = xor(a1,n9),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_52]) ).
cnf(c_0_368,negated_conjecture,
xor(n2,n24) = n25,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_351]),c_0_119]) ).
cnf(c_0_369,negated_conjecture,
xor(n7,n9) = xor(n2,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_272]),c_0_52]) ).
cnf(c_0_370,negated_conjecture,
and(xor(i3,n14),xor(n1,xor(n6,n22))) = xor(i3,and(i3,n20)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_352]),c_0_263]),c_0_263]),c_0_353]),c_0_263]),c_0_79]) ).
cnf(c_0_371,negated_conjecture,
and(i1,xor(X1,n23)) = xor(n23,and(i1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_98]),c_0_52]) ).
cnf(c_0_372,negated_conjecture,
and(i2,xor(n6,n22)) = xor(n6,and(n6,n22)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_354]),c_0_59]),c_0_110]) ).
cnf(c_0_373,negated_conjecture,
n12 = xor(and(n11,n16),xor(n11,n16)),
inference(rw,[status(thm)],[c_0_355,c_0_57]) ).
cnf(c_0_374,negated_conjecture,
xor(n6,xor(n14,n7)) = and(i2,n20),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_356]),c_0_79]),c_0_52]) ).
cnf(c_0_375,negated_conjecture,
xor(n14,n7) = n16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_357]),c_0_358]),c_0_169]) ).
cnf(c_0_376,negated_conjecture,
and(i3,and(inv2,n20)) = xor(n16,n19),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_353]),c_0_281]),c_0_359]),c_0_79]),c_0_322]),c_0_360]),c_0_68]) ).
cnf(c_0_377,negated_conjecture,
and(i3,n16) = n16,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_246]),c_0_264]) ).
cnf(c_0_378,negated_conjecture,
and(inv2,and(n23,X1)) = and(X1,n19),
inference(spm,[status(thm)],[c_0_362,c_0_59]) ).
cnf(c_0_379,negated_conjecture,
n18 = or(n19,n25),
constructor21 ).
cnf(c_0_380,negated_conjecture,
and(n2,n20) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_107]),c_0_59]) ).
cnf(c_0_381,negated_conjecture,
xor(n7,and(n23,n20)) = xor(n6,n22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_364]),c_0_365]),c_0_68]),c_0_366]) ).
cnf(c_0_382,negated_conjecture,
xor(a1,xor(n2,n3)) = n25,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_367]),c_0_368]),c_0_79]),c_0_369]) ).
cnf(c_0_383,negated_conjecture,
and(i2,xor(X1,i1)) = xor(n6,and(i2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_71]),c_0_52]) ).
cnf(c_0_384,negated_conjecture,
and(xor(i3,n14),xor(n1,xor(n6,n22))) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_218]),c_0_59]),c_0_182]) ).
cnf(c_0_385,negated_conjecture,
and(i1,xor(n6,n20)) = xor(n6,n22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_187]),c_0_327]),c_0_150]) ).
cnf(c_0_386,negated_conjecture,
and(i2,xor(n6,n22)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_147]),c_0_55]) ).
cnf(c_0_387,negated_conjecture,
xor(n20,and(n14,and(n22,n20))) = and(n20,xor(n14,n22)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_319]),c_0_68]),c_0_59]) ).
cnf(c_0_388,negated_conjecture,
and(inv1,and(X1,inv2)) = and(X1,n21),
inference(spm,[status(thm)],[c_0_68,c_0_201]) ).
cnf(c_0_389,negated_conjecture,
xor(xor(n16,n11),and(n16,n11)) = n12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_59]),c_0_52]),c_0_52]) ).
cnf(c_0_390,negated_conjecture,
and(i2,n20) = xor(n6,n16),
inference(rw,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_391,negated_conjecture,
and(n23,n19) = n19,
inference(spm,[status(thm)],[c_0_70,c_0_248]) ).
cnf(c_0_392,negated_conjecture,
and(i3,xor(n21,inv2)) = xor(n16,n19),
inference(rw,[status(thm)],[c_0_376,c_0_341]) ).
cnf(c_0_393,negated_conjecture,
and(i3,and(X1,n16)) = and(X1,n16),
inference(spm,[status(thm)],[c_0_68,c_0_377]) ).
cnf(c_0_394,negated_conjecture,
and(n23,n16) = and(n14,n19),
inference(spm,[status(thm)],[c_0_361,c_0_378]) ).
cnf(c_0_395,negated_conjecture,
n18 = xor(and(n19,n25),xor(n19,n25)),
inference(rw,[status(thm)],[c_0_379,c_0_57]) ).
cnf(c_0_396,negated_conjecture,
and(n25,n20) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_368]),c_0_59]),c_0_380]),c_0_59]) ).
cnf(c_0_397,negated_conjecture,
and(n23,n20) = n23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_381]),c_0_79]),c_0_131]),c_0_77]) ).
cnf(c_0_398,negated_conjecture,
xor(n2,n3) = xor(a1,n25),
inference(spm,[status(thm)],[c_0_77,c_0_382]) ).
cnf(c_0_399,negated_conjecture,
and(i2,and(X1,xor(X2,i1))) = and(X1,xor(n6,and(i2,X2))),
inference(spm,[status(thm)],[c_0_68,c_0_383]) ).
cnf(c_0_400,negated_conjecture,
and(inv1,xor(X1,i2)) = xor(a1,and(inv1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_92]),c_0_52]) ).
cnf(c_0_401,negated_conjecture,
xor(n2,xor(i3,n14)) = xor(n6,n22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_384]),c_0_263]),c_0_263]),c_0_77]),c_0_352]),c_0_79]) ).
cnf(c_0_402,negated_conjecture,
n4 = or(n15,n3),
constructor7 ).
cnf(c_0_403,negated_conjecture,
xor(n6,and(n6,n20)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_385]),c_0_386]),c_0_59]),c_0_110]) ).
cnf(c_0_404,negated_conjecture,
and(n20,xor(n14,n22)) = xor(n14,n22),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_129]),c_0_319]) ).
cnf(c_0_405,negated_conjecture,
and(n20,xor(X1,n2)) = and(n20,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_380]),c_0_119]) ).
cnf(c_0_406,negated_conjecture,
xor(n21,xor(inv1,n9)) = and(n20,n9),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_231]),c_0_79]),c_0_52]) ).
cnf(c_0_407,negated_conjecture,
and(inv2,n8) = n0,
inference(spm,[status(thm)],[c_0_234,c_0_266]) ).
cnf(c_0_408,negated_conjecture,
and(n21,n20) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_107]),c_0_59]) ).
cnf(c_0_409,negated_conjecture,
xor(n16,xor(n12,n11)) = and(n16,n11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_389]),c_0_52]),c_0_79]) ).
cnf(c_0_410,negated_conjecture,
n13 = or(n12,n21),
constructor16 ).
cnf(c_0_411,negated_conjecture,
and(a1,i2) = a1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_92]),c_0_59]) ).
cnf(c_0_412,negated_conjecture,
xor(n6,xor(i2,n16)) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_390]),c_0_59]),c_0_92]),c_0_79]) ).
cnf(c_0_413,negated_conjecture,
and(n23,xor(X1,n19)) = xor(n19,and(n23,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_391]),c_0_52]) ).
cnf(c_0_414,negated_conjecture,
xor(n16,n19) = xor(n6,n20),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_357]),c_0_392]),c_0_312]),c_0_187]) ).
cnf(c_0_415,negated_conjecture,
and(n14,n19) = and(i1,n16),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_303]),c_0_59]),c_0_394]) ).
cnf(c_0_416,negated_conjecture,
and(i1,n16) = and(i3,n15),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_327]),c_0_284]) ).
cnf(c_0_417,negated_conjecture,
xor(xor(n19,n25),and(n19,n25)) = n18,
inference(rw,[status(thm)],[c_0_395,c_0_52]) ).
cnf(c_0_418,negated_conjecture,
and(n25,and(X1,n20)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_396]),c_0_138]) ).
cnf(c_0_419,negated_conjecture,
and(n19,n20) = n19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_397]),c_0_248]),c_0_59]) ).
cnf(c_0_420,negated_conjecture,
xor(n7,n9) = xor(a1,n25),
inference(rw,[status(thm)],[c_0_369,c_0_398]) ).
cnf(c_0_421,negated_conjecture,
and(i2,n3) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_186]),c_0_73]),c_0_178]),c_0_54]),c_0_400]),c_0_103]),c_0_115]),c_0_148]),c_0_154]),c_0_119]) ).
cnf(c_0_422,negated_conjecture,
and(n24,n23) = and(n24,i3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_84]),c_0_59]) ).
cnf(c_0_423,negated_conjecture,
and(inv1,n23) = and(n2,n24),
inference(rw,[status(thm)],[c_0_313,c_0_333]) ).
cnf(c_0_424,negated_conjecture,
xor(xor(n8,n9),and(n2,n8)) = n2,
inference(spm,[status(thm)],[c_0_111,c_0_195]) ).
cnf(c_0_425,negated_conjecture,
and(i3,n20) = xor(n2,i3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_401]),c_0_79]),c_0_353]) ).
cnf(c_0_426,negated_conjecture,
n4 = xor(and(n15,n3),xor(n15,n3)),
inference(rw,[status(thm)],[c_0_402,c_0_57]) ).
cnf(c_0_427,negated_conjecture,
and(n6,n20) = n6,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_403]),c_0_119]) ).
cnf(c_0_428,negated_conjecture,
xor(n20,and(n7,n20)) = xor(n14,n22),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_340]),c_0_404]),c_0_59]) ).
cnf(c_0_429,negated_conjecture,
xor(n22,n20) = xor(n14,n7),
inference(rw,[status(thm)],[c_0_109,c_0_169]) ).
cnf(c_0_430,negated_conjecture,
and(n11,n20) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_309]),c_0_59]),c_0_212]),c_0_59]) ).
cnf(c_0_431,negated_conjecture,
and(inv2,and(n14,X1)) = and(X1,n16),
inference(spm,[status(thm)],[c_0_361,c_0_59]) ).
cnf(c_0_432,negated_conjecture,
xor(inv1,and(n20,n9)) = xor(n21,n9),
inference(spm,[status(thm)],[c_0_160,c_0_406]) ).
cnf(c_0_433,negated_conjecture,
and(inv2,and(n8,X1)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_407]),c_0_87]) ).
cnf(c_0_434,negated_conjecture,
and(n21,and(X1,n20)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_408]),c_0_87]) ).
cnf(c_0_435,negated_conjecture,
xor(xor(n12,n11),and(n16,n11)) = n16,
inference(spm,[status(thm)],[c_0_111,c_0_409]) ).
cnf(c_0_436,negated_conjecture,
n13 = xor(and(n12,n21),xor(n12,n21)),
inference(rw,[status(thm)],[c_0_410,c_0_57]) ).
cnf(c_0_437,negated_conjecture,
o1 = n13,
constructor1 ).
cnf(c_0_438,negated_conjecture,
and(a1,n14) = and(a1,i3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_411]),c_0_59]) ).
cnf(c_0_439,negated_conjecture,
xor(i2,n16) = xor(a1,n6),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_412]),c_0_52]) ).
cnf(c_0_440,negated_conjecture,
xor(X1,xor(n6,n22)) = xor(n23,xor(X1,n7)),
inference(spm,[status(thm)],[c_0_79,c_0_150]) ).
cnf(c_0_441,negated_conjecture,
xor(n6,n22) = n19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_365]),c_0_394]),c_0_415]),c_0_416]),c_0_344]),c_0_119]) ).
cnf(c_0_442,negated_conjecture,
and(inv2,n19) = n19,
inference(spm,[status(thm)],[c_0_60,c_0_248]) ).
cnf(c_0_443,negated_conjecture,
xor(n18,and(n19,n25)) = xor(n19,n25),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_417]),c_0_52]) ).
cnf(c_0_444,negated_conjecture,
and(n19,n25) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_59]) ).
cnf(c_0_445,negated_conjecture,
xor(a1,xor(n25,n9)) = n7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_420]),c_0_79]),c_0_52]) ).
cnf(c_0_446,negated_conjecture,
and(inv2,and(X1,n8)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_407]),c_0_138]) ).
cnf(c_0_447,negated_conjecture,
and(i2,n8) = xor(a1,n7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_192]),c_0_421]),c_0_52]) ).
cnf(c_0_448,negated_conjecture,
and(n24,n23) = and(n2,n24),
inference(rw,[status(thm)],[c_0_422,c_0_333]) ).
cnf(c_0_449,negated_conjecture,
and(n2,and(n24,inv2)) = and(inv1,n19),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_423]),c_0_68]),c_0_59]) ).
cnf(c_0_450,negated_conjecture,
and(n2,n9) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_424]),c_0_54]),c_0_52]),c_0_77]) ).
cnf(c_0_451,negated_conjecture,
xor(n2,xor(i3,n7)) = xor(n6,n20),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_425]),c_0_79]),c_0_52]) ).
cnf(c_0_452,negated_conjecture,
xor(n2,xor(n3,n9)) = n7,
inference(rw,[status(thm)],[c_0_245,c_0_272]) ).
cnf(c_0_453,negated_conjecture,
xor(xor(n15,n3),and(n15,n3)) = n4,
inference(rw,[status(thm)],[c_0_426,c_0_52]) ).
cnf(c_0_454,negated_conjecture,
and(n3,and(X1,n20)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_219]),c_0_138]) ).
cnf(c_0_455,negated_conjecture,
and(n15,n20) = n15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_427]),c_0_233]),c_0_59]) ).
cnf(c_0_456,negated_conjecture,
and(n7,n20) = n7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_428]),c_0_79]),c_0_52]),c_0_429]),c_0_77]) ).
cnf(c_0_457,negated_conjecture,
and(i3,xor(X1,n14)) = xor(n14,and(i3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_246]),c_0_52]) ).
cnf(c_0_458,negated_conjecture,
and(n11,and(X1,n20)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_430]),c_0_138]) ).
cnf(c_0_459,negated_conjecture,
and(n16,n20) = n16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_135]),c_0_264]),c_0_59]) ).
cnf(c_0_460,negated_conjecture,
xor(inv1,n7) = xor(n21,n9),
inference(rw,[status(thm)],[c_0_432,c_0_272]) ).
cnf(c_0_461,negated_conjecture,
and(inv2,n10) = n0,
inference(spm,[status(thm)],[c_0_433,c_0_302]) ).
cnf(c_0_462,negated_conjecture,
xor(n10,and(n7,n10)) = and(n24,n10),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_153]),c_0_59]),c_0_59]) ).
cnf(c_0_463,negated_conjecture,
and(n7,n10) = n7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_270]),c_0_59]),c_0_116]),c_0_125]),c_0_145]),c_0_119]) ).
cnf(c_0_464,negated_conjecture,
and(n21,n14) = n0,
inference(spm,[status(thm)],[c_0_434,c_0_135]) ).
cnf(c_0_465,negated_conjecture,
xor(n12,xor(n11,and(n16,n11))) = n16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_435,c_0_263]),c_0_52]) ).
cnf(c_0_466,negated_conjecture,
xor(and(n12,n21),xor(n12,n21)) = o1,
inference(rw,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_467,negated_conjecture,
and(a1,n14) = and(a1,n2),
inference(rw,[status(thm)],[c_0_438,c_0_269]) ).
cnf(c_0_468,negated_conjecture,
xor(n6,xor(n19,n20)) = n16,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_414]),c_0_79]) ).
cnf(c_0_469,negated_conjecture,
xor(a1,xor(n6,n16)) = i2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_439]),c_0_79]),c_0_52]) ).
cnf(c_0_470,negated_conjecture,
xor(n23,xor(X1,n7)) = xor(X1,n19),
inference(rw,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_471,negated_conjecture,
n17 = or(n18,n21),
constructor20 ).
cnf(c_0_472,negated_conjecture,
and(inv2,xor(n19,X1)) = xor(n19,and(inv2,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_442]) ).
cnf(c_0_473,negated_conjecture,
xor(n19,n25) = n18,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_444]),c_0_119]) ).
cnf(c_0_474,negated_conjecture,
and(inv2,xor(X1,n9)) = and(inv2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_222]),c_0_119]) ).
cnf(c_0_475,negated_conjecture,
xor(n25,n9) = xor(a1,n7),
inference(spm,[status(thm)],[c_0_77,c_0_445]) ).
cnf(c_0_476,negated_conjecture,
and(inv2,xor(a1,n7)) = n0,
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_477,negated_conjecture,
and(inv1,n19) = and(n24,n19),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_448]),c_0_68]),c_0_59]),c_0_449]) ).
cnf(c_0_478,negated_conjecture,
and(n2,inv2) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_450]),c_0_59]) ).
cnf(c_0_479,negated_conjecture,
xor(i3,xor(n6,n20)) = xor(n2,n7),
inference(spm,[status(thm)],[c_0_160,c_0_451]) ).
cnf(c_0_480,negated_conjecture,
xor(n3,n9) = xor(n2,n7),
inference(spm,[status(thm)],[c_0_77,c_0_452]) ).
cnf(c_0_481,negated_conjecture,
and(inv2,n15) = n15,
inference(spm,[status(thm)],[c_0_60,c_0_233]) ).
cnf(c_0_482,negated_conjecture,
xor(n4,and(n15,n3)) = xor(n15,n3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_453]),c_0_52]) ).
cnf(c_0_483,negated_conjecture,
and(n15,n3) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_59]) ).
cnf(c_0_484,negated_conjecture,
and(n7,n3) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_456]),c_0_59]) ).
cnf(c_0_485,negated_conjecture,
xor(n23,and(i3,n20)) = xor(n14,n7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_337]),c_0_457]),c_0_82]) ).
cnf(c_0_486,negated_conjecture,
xor(n16,and(n16,n11)) = xor(n12,n11),
inference(spm,[status(thm)],[c_0_77,c_0_409]) ).
cnf(c_0_487,negated_conjecture,
and(n16,n11) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_59]) ).
cnf(c_0_488,negated_conjecture,
xor(n24,xor(n21,n9)) = xor(inv1,n10),
inference(spm,[status(thm)],[c_0_290,c_0_460]) ).
cnf(c_0_489,negated_conjecture,
and(inv2,and(X1,n10)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_461]),c_0_138]) ).
cnf(c_0_490,negated_conjecture,
and(n24,n10) = n24,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_462,c_0_463]),c_0_52]),c_0_153]) ).
cnf(c_0_491,negated_conjecture,
and(n21,n16) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_464]),c_0_87]) ).
cnf(c_0_492,negated_conjecture,
xor(n11,and(n16,n11)) = xor(n16,n12),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_465]),c_0_52]) ).
cnf(c_0_493,negated_conjecture,
xor(xor(n21,n12),and(n21,n12)) = o1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_466,c_0_52]),c_0_52]),c_0_59]) ).
cnf(c_0_494,negated_conjecture,
and(inv1,n14) = and(a1,n2),
inference(rw,[status(thm)],[c_0_254,c_0_269]) ).
cnf(c_0_495,negated_conjecture,
and(a1,and(n2,inv2)) = and(a1,n16),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_467]),c_0_68]),c_0_59]) ).
cnf(c_0_496,negated_conjecture,
and(a1,n14) = n0,
inference(rw,[status(thm)],[c_0_467,c_0_289]) ).
cnf(c_0_497,negated_conjecture,
xor(n19,n20) = xor(n6,n16),
inference(spm,[status(thm)],[c_0_77,c_0_468]) ).
cnf(c_0_498,negated_conjecture,
xor(n6,n16) = xor(a1,i2),
inference(spm,[status(thm)],[c_0_77,c_0_469]) ).
cnf(c_0_499,negated_conjecture,
xor(n21,xor(n23,n9)) = xor(inv1,n19),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_460]),c_0_79]) ).
cnf(c_0_500,negated_conjecture,
n17 = xor(and(n18,n21),xor(n18,n21)),
inference(rw,[status(thm)],[c_0_471,c_0_57]) ).
cnf(c_0_501,negated_conjecture,
xor(n19,and(inv2,n25)) = and(inv2,n18),
inference(spm,[status(thm)],[c_0_472,c_0_473]) ).
cnf(c_0_502,negated_conjecture,
and(inv2,n25) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_475]),c_0_476]) ).
cnf(c_0_503,negated_conjecture,
and(n2,and(n24,inv2)) = and(n24,n19),
inference(rw,[status(thm)],[c_0_449,c_0_477]) ).
cnf(c_0_504,negated_conjecture,
and(n2,and(X1,inv2)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_478]),c_0_87]) ).
cnf(c_0_505,negated_conjecture,
xor(inv1,xor(i3,n6)) = xor(n1,xor(n2,n7)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_479]),c_0_52]),c_0_79]) ).
cnf(c_0_506,negated_conjecture,
xor(n1,xor(n2,n7)) = xor(inv2,n3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_480]),c_0_52]) ).
cnf(c_0_507,negated_conjecture,
n5 = or(n4,n21),
constructor8 ).
cnf(c_0_508,negated_conjecture,
and(inv2,xor(n15,X1)) = xor(n15,and(inv2,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_481]) ).
cnf(c_0_509,negated_conjecture,
xor(n15,n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_482,c_0_483]),c_0_119]) ).
cnf(c_0_510,negated_conjecture,
and(n3,n8) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_192]),c_0_59]),c_0_484]),c_0_119]) ).
cnf(c_0_511,negated_conjecture,
xor(xor(n8,n10),and(a1,n10)) = a1,
inference(spm,[status(thm)],[c_0_111,c_0_252]) ).
cnf(c_0_512,negated_conjecture,
xor(n2,xor(i3,n23)) = xor(n14,n7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_485,c_0_425]),c_0_79]),c_0_52]) ).
cnf(c_0_513,negated_conjecture,
xor(n2,xor(X1,n11)) = xor(X1,a1),
inference(spm,[status(thm)],[c_0_79,c_0_304]) ).
cnf(c_0_514,negated_conjecture,
xor(n12,n11) = n16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_486,c_0_487]),c_0_119]) ).
cnf(c_0_515,negated_conjecture,
and(n21,inv1) = n21,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_201]),c_0_59]) ).
cnf(c_0_516,negated_conjecture,
xor(inv1,xor(n10,n9)) = xor(n24,n21),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_488]),c_0_79]),c_0_52]) ).
cnf(c_0_517,negated_conjecture,
and(n24,inv2) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_59]) ).
cnf(c_0_518,negated_conjecture,
and(n21,xor(n16,X1)) = and(n21,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_491]),c_0_217]) ).
cnf(c_0_519,negated_conjecture,
xor(n16,n12) = n11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_492,c_0_487]),c_0_119]) ).
cnf(c_0_520,negated_conjecture,
xor(n21,xor(n12,o1)) = and(n21,n12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_493]),c_0_52]),c_0_79]),c_0_52]) ).
cnf(c_0_521,negated_conjecture,
and(inv1,n16) = and(a1,n16),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_494]),c_0_68]),c_0_59]),c_0_495]) ).
cnf(c_0_522,negated_conjecture,
and(a1,n16) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_496]),c_0_87]) ).
cnf(c_0_523,negated_conjecture,
xor(n19,n20) = xor(a1,i2),
inference(rw,[status(thm)],[c_0_497,c_0_498]) ).
cnf(c_0_524,negated_conjecture,
xor(n21,xor(inv1,n19)) = xor(n23,n9),
inference(spm,[status(thm)],[c_0_77,c_0_499]) ).
cnf(c_0_525,negated_conjecture,
xor(xor(n21,n18),and(n21,n18)) = n17,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_52]),c_0_52]),c_0_59]) ).
cnf(c_0_526,negated_conjecture,
and(inv1,and(inv2,X1)) = and(X1,n21),
inference(spm,[status(thm)],[c_0_388,c_0_59]) ).
cnf(c_0_527,negated_conjecture,
and(inv2,n18) = n19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_501,c_0_502]),c_0_119]) ).
cnf(c_0_528,negated_conjecture,
and(n24,n19) = n0,
inference(rw,[status(thm)],[c_0_503,c_0_504]) ).
cnf(c_0_529,negated_conjecture,
xor(inv1,xor(i3,n6)) = xor(inv2,n3),
inference(rw,[status(thm)],[c_0_505,c_0_506]) ).
cnf(c_0_530,negated_conjecture,
xor(n21,xor(n15,n16)) = xor(inv2,n19),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_297]),c_0_79]) ).
cnf(c_0_531,negated_conjecture,
n5 = xor(and(n4,n21),xor(n4,n21)),
inference(rw,[status(thm)],[c_0_507,c_0_57]) ).
cnf(c_0_532,negated_conjecture,
xor(n15,and(inv2,n3)) = and(inv2,n4),
inference(spm,[status(thm)],[c_0_508,c_0_509]) ).
cnf(c_0_533,negated_conjecture,
and(inv2,n3) = n0,
inference(spm,[status(thm)],[c_0_446,c_0_510]) ).
cnf(c_0_534,negated_conjecture,
and(n15,and(X1,n8)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_286]),c_0_138]) ).
cnf(c_0_535,negated_conjecture,
and(a1,n8) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_511]),c_0_54]),c_0_52]),c_0_111]) ).
cnf(c_0_536,negated_conjecture,
and(n20,xor(n14,n7)) = xor(n14,n7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_429]),c_0_59]),c_0_129]),c_0_52]),c_0_429]) ).
cnf(c_0_537,negated_conjecture,
xor(n2,xor(n14,n7)) = xor(i3,n23),
inference(spm,[status(thm)],[c_0_77,c_0_512]) ).
cnf(c_0_538,negated_conjecture,
xor(n2,n16) = xor(a1,n12),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_52]) ).
cnf(c_0_539,negated_conjecture,
and(n21,xor(inv1,X1)) = xor(n21,and(n21,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_515]) ).
cnf(c_0_540,negated_conjecture,
xor(inv1,n11) = xor(n24,n21),
inference(rw,[status(thm)],[c_0_516,c_0_329]) ).
cnf(c_0_541,negated_conjecture,
and(n24,n21) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_517]),c_0_87]) ).
cnf(c_0_542,negated_conjecture,
and(n21,n11) = and(n21,n12),
inference(spm,[status(thm)],[c_0_518,c_0_519]) ).
cnf(c_0_543,negated_conjecture,
xor(n21,and(n21,n12)) = xor(n12,o1),
inference(spm,[status(thm)],[c_0_77,c_0_520]) ).
cnf(c_0_544,negated_conjecture,
and(inv1,n16) = n0,
inference(rw,[status(thm)],[c_0_521,c_0_522]) ).
cnf(c_0_545,negated_conjecture,
and(i1,n19) = n19,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_98]),c_0_248]) ).
cnf(c_0_546,negated_conjecture,
xor(a1,xor(i2,n19)) = n20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_523]),c_0_79]),c_0_52]) ).
cnf(c_0_547,negated_conjecture,
xor(inv1,n20) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_75]),c_0_52]) ).
cnf(c_0_548,negated_conjecture,
xor(a1,xor(i2,n20)) = n19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_523]),c_0_79]),c_0_52]) ).
cnf(c_0_549,negated_conjecture,
xor(n23,xor(n19,n9)) = xor(a1,n25),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_524]),c_0_232]),c_0_398]),c_0_79]) ).
cnf(c_0_550,negated_conjecture,
xor(n17,and(n21,n18)) = xor(n21,n18),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_525]),c_0_52]) ).
cnf(c_0_551,negated_conjecture,
and(n21,n18) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_527]),c_0_477]),c_0_528]),c_0_59]) ).
cnf(c_0_552,negated_conjecture,
xor(i3,xor(inv2,n3)) = xor(inv1,n6),
inference(spm,[status(thm)],[c_0_160,c_0_529]) ).
cnf(c_0_553,negated_conjecture,
xor(inv2,xor(n16,n19)) = xor(n21,n15),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_530]),c_0_79]) ).
cnf(c_0_554,negated_conjecture,
xor(xor(n21,n4),and(n21,n4)) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_531,c_0_52]),c_0_52]),c_0_59]) ).
cnf(c_0_555,negated_conjecture,
and(inv2,n4) = n15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_532,c_0_533]),c_0_119]) ).
cnf(c_0_556,negated_conjecture,
and(inv1,n15) = and(n24,n15),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_103]),c_0_239]) ).
cnf(c_0_557,negated_conjecture,
and(n24,n15) = and(a1,n15),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_115]),c_0_239]) ).
cnf(c_0_558,negated_conjecture,
and(a1,n15) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_59]) ).
cnf(c_0_559,negated_conjecture,
and(n20,xor(i3,n23)) = xor(n14,n7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_485]),c_0_536]),c_0_52]) ).
cnf(c_0_560,negated_conjecture,
xor(i3,n23) = xor(a1,n12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_537,c_0_375]),c_0_538]) ).
cnf(c_0_561,negated_conjecture,
xor(n12,o1) = n21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_540]),c_0_220]),c_0_59]),c_0_541]),c_0_119]),c_0_542]),c_0_543]) ).
cnf(c_0_562,negated_conjecture,
and(inv1,xor(n16,X1)) = and(inv1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_544]),c_0_217]) ).
cnf(c_0_563,negated_conjecture,
and(inv1,n11) = n11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_430]),c_0_119]),c_0_59]) ).
cnf(c_0_564,negated_conjecture,
and(i1,xor(X1,n19)) = xor(n19,and(i1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_545]),c_0_52]) ).
cnf(c_0_565,negated_conjecture,
xor(i2,n19) = xor(a1,n20),
inference(spm,[status(thm)],[c_0_77,c_0_546]) ).
cnf(c_0_566,negated_conjecture,
xor(n6,n19) = n22,
inference(spm,[status(thm)],[c_0_77,c_0_441]) ).
cnf(c_0_567,negated_conjecture,
( ~ circuit(not(i3))
| ~ circuit(not(i2))
| ~ circuit(not(i1)) ),
inference(fof_simplification,[status(thm)],[prove_inversion]) ).
cnf(c_0_568,negated_conjecture,
xor(inv1,xor(X1,n20)) = xor(X1,n1),
inference(spm,[status(thm)],[c_0_79,c_0_547]) ).
cnf(c_0_569,negated_conjecture,
xor(i2,n20) = xor(a1,n19),
inference(spm,[status(thm)],[c_0_77,c_0_548]) ).
cnf(c_0_570,negated_conjecture,
xor(n23,n9) = xor(a1,n18),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_549]),c_0_79]),c_0_473]) ).
cnf(c_0_571,negated_conjecture,
xor(n21,n18) = n17,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_550,c_0_551]),c_0_119]) ).
cnf(c_0_572,negated_conjecture,
xor(n1,xor(inv1,X1)) = xor(X1,n20),
inference(spm,[status(thm)],[c_0_257,c_0_52]) ).
cnf(c_0_573,negated_conjecture,
xor(inv1,xor(inv2,n6)) = xor(i3,n3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_552]),c_0_79]) ).
cnf(c_0_574,negated_conjecture,
xor(inv2,xor(n6,n20)) = xor(n21,n15),
inference(rw,[status(thm)],[c_0_553,c_0_414]) ).
cnf(c_0_575,negated_conjecture,
xor(n5,and(n21,n4)) = xor(n21,n4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_554]),c_0_52]) ).
cnf(c_0_576,negated_conjecture,
and(n21,n4) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_555]),c_0_556]),c_0_557]),c_0_558]),c_0_59]) ).
cnf(c_0_577,negated_conjecture,
xor(and(X1,X2),and(X2,X3)) = and(X2,xor(X1,X3)),
inference(spm,[status(thm)],[c_0_50,c_0_59]) ).
cnf(c_0_578,negated_conjecture,
and(X1,xor(X2,and(X2,X3))) = and(X1,and(X2,xor(X3,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_96]),c_0_136]),c_0_136]),c_0_60]),c_0_50]),c_0_136]),c_0_136]),c_0_60]) ).
cnf(c_0_579,negated_conjecture,
and(n20,xor(a1,n12)) = n16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_559,c_0_375]),c_0_560]) ).
cnf(c_0_580,negated_conjecture,
and(n16,n12) = n16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_435]),c_0_54]),c_0_52]),c_0_111]) ).
cnf(c_0_581,negated_conjecture,
and(inv1,xor(n21,X1)) = xor(n21,and(inv1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_206]),c_0_126]) ).
cnf(c_0_582,negated_conjecture,
xor(n21,n12) = o1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_561]),c_0_52]) ).
cnf(c_0_583,negated_conjecture,
and(inv1,n12) = n11,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_519]),c_0_563]) ).
cnf(c_0_584,negated_conjecture,
xor(n24,xor(n21,n11)) = inv1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_540]),c_0_79]),c_0_52]) ).
cnf(c_0_585,negated_conjecture,
and(X1,and(X2,xor(X3,X1))) = and(X2,xor(X1,and(X1,X3))),
inference(spm,[status(thm)],[c_0_68,c_0_220]) ).
cnf(c_0_586,negated_conjecture,
and(i1,xor(a1,n20)) = n22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_59]),c_0_71]),c_0_52]),c_0_566]) ).
cnf(c_0_587,negated_conjecture,
( ~ circuit(not(i3))
| ~ circuit(not(i2))
| ~ circuit(not(i1)) ),
c_0_567 ).
cnf(c_0_588,negated_conjecture,
xor(a1,xor(inv1,n19)) = xor(n1,i2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_569]),c_0_79]),c_0_52]) ).
cnf(c_0_589,negated_conjecture,
xor(inv1,n19) = xor(a1,n17),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_499,c_0_570]),c_0_79]),c_0_571]) ).
cnf(c_0_590,negated_conjecture,
circuit(o2),
output2 ).
cnf(c_0_591,negated_conjecture,
o2 = n17,
constructor2 ).
cnf(c_0_592,negated_conjecture,
xor(n1,xor(i3,n3)) = xor(n21,n15),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_263]),c_0_52]),c_0_574]) ).
cnf(c_0_593,negated_conjecture,
xor(n21,n4) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_575,c_0_576]),c_0_119]) ).
cnf(c_0_594,negated_conjecture,
and(n20,xor(n21,X1)) = and(n20,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_408]),c_0_217]) ).
cnf(c_0_595,negated_conjecture,
and(n12,n20) = n16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_579]),c_0_59]),c_0_212]),c_0_119]),c_0_59]),c_0_580]) ).
cnf(c_0_596,negated_conjecture,
and(inv1,o1) = xor(n21,n11),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_582]),c_0_583]) ).
cnf(c_0_597,negated_conjecture,
xor(n21,n11) = xor(n24,inv1),
inference(spm,[status(thm)],[c_0_77,c_0_584]) ).
cnf(c_0_598,negated_conjecture,
and(xor(X1,n1),xor(X2,and(X2,X1))) = xor(X2,and(X2,X1)),
inference(spm,[status(thm)],[c_0_70,c_0_53]) ).
cnf(c_0_599,negated_conjecture,
and(i1,n20) = n22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_586]),c_0_59]),c_0_129]),c_0_59]),c_0_212]),c_0_119]) ).
cnf(c_0_600,negated_conjecture,
and(inv1,xor(i1,X1)) = xor(n24,and(inv1,X1)),
inference(spm,[status(thm)],[c_0_50,c_0_73]) ).
cnf(c_0_601,negated_conjecture,
( ~ circuit(xor(n1,i1))
| ~ circuit(xor(n1,i3))
| ~ circuit(xor(n1,i2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_587,c_0_65]),c_0_65]),c_0_65]) ).
cnf(c_0_602,negated_conjecture,
xor(n1,i2) = n17,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_588,c_0_589]),c_0_77]) ).
cnf(c_0_603,negated_conjecture,
circuit(n17),
inference(rw,[status(thm)],[c_0_590,c_0_591]) ).
cnf(c_0_604,negated_conjecture,
xor(i3,n5) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_592]),c_0_263]),c_0_263]),c_0_52]),c_0_509]),c_0_593]) ).
cnf(c_0_605,negated_conjecture,
circuit(o3),
output3 ).
cnf(c_0_606,negated_conjecture,
o3 = n5,
constructor3 ).
cnf(c_0_607,negated_conjecture,
and(o1,n20) = n16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_582]),c_0_59]),c_0_59]),c_0_595]) ).
cnf(c_0_608,negated_conjecture,
and(inv1,xor(X1,n16)) = and(inv1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_544]),c_0_119]) ).
cnf(c_0_609,negated_conjecture,
and(inv1,o1) = xor(n24,inv1),
inference(rw,[status(thm)],[c_0_596,c_0_597]) ).
cnf(c_0_610,negated_conjecture,
xor(inv1,xor(n14,n7)) = xor(n1,n22),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_429]),c_0_52]) ).
cnf(c_0_611,negated_conjecture,
xor(i1,n22) = n24,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_599]),c_0_52]),c_0_75]),c_0_600]),c_0_311]),c_0_119]) ).
cnf(c_0_612,negated_conjecture,
( ~ circuit(xor(n1,i1))
| ~ circuit(xor(n1,i3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_601,c_0_602]),c_0_603])]) ).
cnf(c_0_613,negated_conjecture,
xor(n1,i3) = n5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_604]),c_0_52]) ).
cnf(c_0_614,negated_conjecture,
circuit(n5),
inference(rw,[status(thm)],[c_0_605,c_0_606]) ).
cnf(c_0_615,negated_conjecture,
xor(n16,o1) = xor(n24,inv1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_607]),c_0_52]),c_0_75]),c_0_608]),c_0_609]),c_0_52]) ).
cnf(c_0_616,negated_conjecture,
xor(inv1,n16) = xor(n1,n22),
inference(rw,[status(thm)],[c_0_610,c_0_375]) ).
cnf(c_0_617,negated_conjecture,
xor(n24,n22) = i1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_611]),c_0_52]) ).
cnf(c_0_618,negated_conjecture,
~ circuit(xor(n1,i1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_612,c_0_613]),c_0_614])]) ).
cnf(c_0_619,negated_conjecture,
xor(n1,i1) = o1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_615]),c_0_79]),c_0_52]),c_0_616]),c_0_79]),c_0_617]) ).
cnf(c_0_620,negated_conjecture,
circuit(o1),
output1 ).
cnf(c_0_621,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_618,c_0_619]),c_0_620])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV002-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n008.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 20:48:11 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.08/3.11 % Version: 3.5.1
% 18.08/3.11 % Preprocessing class: FSMSSMSMSSSNFFN.
% 18.08/3.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.08/3.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 18.08/3.11 % Starting new_bool_3 with 300s (1) cores
% 18.08/3.11 % Starting new_bool_1 with 300s (1) cores
% 18.08/3.11 % Starting sh5l with 300s (1) cores
% 18.08/3.11 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3582606 completed with status 0
% 18.08/3.11 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 18.08/3.11 % Preprocessing class: FSMSSMSMSSSNFFN.
% 18.08/3.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.08/3.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 18.08/3.11 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.08/3.11 % No SInE strategy applied
% 18.08/3.11 % Search class: FUHSM-FFMM22-SFFFFFNN
% 18.08/3.11 % partial match(2): FGHSM-FFMM21-SFFFFFNN
% 18.08/3.11 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 18.08/3.11 % Starting SubtermCWHack with 136s (1) cores
% 18.08/3.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 18.08/3.11 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 18.08/3.11 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 18.08/3.11 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 18.08/3.11 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3582611 completed with status 0
% 18.08/3.11 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 18.08/3.11 % Preprocessing class: FSMSSMSMSSSNFFN.
% 18.08/3.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.08/3.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 18.08/3.11 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.08/3.11 % No SInE strategy applied
% 18.08/3.11 % Search class: FUHSM-FFMM22-SFFFFFNN
% 18.08/3.11 % partial match(2): FGHSM-FFMM21-SFFFFFNN
% 18.08/3.11 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 18.08/3.11 % Starting SubtermCWHack with 136s (1) cores
% 18.08/3.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 18.08/3.11 % Preprocessing time : 0.002 s
% 18.08/3.11 % Presaturation interreduction done
% 18.08/3.11
% 18.08/3.11 % Proof found!
% 18.08/3.11 % SZS status Unsatisfiable
% 18.08/3.11 % SZS output start CNFRefutation
% See solution above
% 18.08/3.11 % Parsed axioms : 51
% 18.08/3.11 % Removed by relevancy pruning/SinE : 0
% 18.08/3.11 % Initial clauses : 51
% 18.08/3.11 % Removed in clause preprocessing : 2
% 18.08/3.11 % Initial clauses in saturation : 49
% 18.08/3.11 % Processed clauses : 10804
% 18.08/3.11 % ...of these trivial : 5767
% 18.08/3.11 % ...subsumed : 794
% 18.08/3.11 % ...remaining for further processing : 4243
% 18.08/3.11 % Other redundant clauses eliminated : 0
% 18.08/3.11 % Clauses deleted for lack of memory : 0
% 18.08/3.11 % Backward-subsumed : 0
% 18.08/3.11 % Backward-rewritten : 1540
% 18.08/3.11 % Generated clauses : 225512
% 18.08/3.11 % ...of the previous two non-redundant : 166429
% 18.08/3.11 % ...aggressively subsumed : 0
% 18.08/3.11 % Contextual simplify-reflections : 0
% 18.08/3.11 % Paramodulations : 225512
% 18.08/3.11 % Factorizations : 0
% 18.08/3.11 % NegExts : 0
% 18.08/3.11 % Equation resolutions : 0
% 18.08/3.11 % Disequality decompositions : 0
% 18.08/3.11 % Total rewrite steps : 379382
% 18.08/3.11 % ...of those cached : 329658
% 18.08/3.11 % Propositional unsat checks : 0
% 18.08/3.11 % Propositional check models : 0
% 18.08/3.11 % Propositional check unsatisfiable : 0
% 18.08/3.11 % Propositional clauses : 0
% 18.08/3.11 % Propositional clauses after purity: 0
% 18.08/3.11 % Propositional unsat core size : 0
% 18.08/3.11 % Propositional preprocessing time : 0.000
% 18.08/3.11 % Propositional encoding time : 0.000
% 18.08/3.11 % Propositional solver time : 0.000
% 18.08/3.11 % Success case prop preproc time : 0.000
% 18.08/3.11 % Success case prop encoding time : 0.000
% 18.08/3.11 % Success case prop solver time : 0.000
% 18.08/3.11 % Current number of processed clauses : 2654
% 18.08/3.11 % Positive orientable unit clauses : 2620
% 18.08/3.11 % Positive unorientable unit clauses: 34
% 18.08/3.11 % Negative unit clauses : 0
% 18.08/3.11 % Non-unit-clauses : 0
% 18.08/3.11 % Current number of unprocessed clauses: 154541
% 18.08/3.11 % ...number of literals in the above : 154541
% 18.08/3.11 % Current number of archived formulas : 0
% 18.08/3.11 % Current number of archived clauses : 1591
% 18.08/3.11 % Clause-clause subsumption calls (NU) : 0
% 18.08/3.11 % Rec. Clause-clause subsumption calls : 0
% 18.08/3.11 % Non-unit clause-clause subsumptions : 0
% 18.08/3.11 % Unit Clause-clause subsumption calls : 585
% 18.08/3.11 % Rewrite failures with RHS unbound : 0
% 18.08/3.11 % BW rewrite match attempts : 3591
% 18.08/3.11 % BW rewrite match successes : 1296
% 18.08/3.11 % Condensation attempts : 0
% 18.08/3.11 % Condensation successes : 0
% 18.08/3.11 % Termbank termtop insertions : 2607923
% 18.08/3.11 % Search garbage collected termcells : 8
% 18.08/3.11
% 18.08/3.11 % -------------------------------------------------
% 18.08/3.11 % User time : 2.371 s
% 18.08/3.11 % System time : 0.171 s
% 18.08/3.11 % Total time : 2.542 s
% 18.08/3.11 % Maximum resident set size: 3660 pages
% 18.08/3.11
% 18.08/3.11 % -------------------------------------------------
% 18.08/3.11 % User time : 12.103 s
% 18.08/3.11 % System time : 0.804 s
% 18.08/3.11 % Total time : 12.907 s
% 18.08/3.11 % Maximum resident set size: 4864 pages
% 18.08/3.11 % E exiting
%------------------------------------------------------------------------------