%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HWV003-1 : 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 : n011.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 30.99s 5.05s
% Output : CNFRefutation 30.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 44
% Syntax : Number of clauses : 381 ( 381 unt; 0 nHn; 229 RR)
% Number of literals : 381 ( 372 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-3 aty)
% Number of variables : 262 ( 43 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(circuit3,negated_conjecture,
a13 = not(and(a11,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit3) ).
cnf(and_symmetry,negated_conjecture,
and(X1,X2) = and(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_symmetry) ).
cnf(circuit2,negated_conjecture,
a12 = not(and(a11,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit2) ).
cnf(and_or_subsumption4,axiom,
or(or(X1,and(X2,X3)),X3) = or(X1,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_subsumption4) ).
cnf(or_symmetry,negated_conjecture,
or(X1,X2) = or(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_symmetry) ).
cnf(or_not_evaluation1,axiom,
or(X1,not(X1)) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_not_evaluation1) ).
cnf(demorgan1,axiom,
not(and(X1,X2)) = or(not(X1),not(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',demorgan1) ).
cnf(and_not_evaluation3,axiom,
and(and(X1,X2),not(X1)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_not_evaluation3) ).
cnf(and_or_subsumption1,axiom,
or(and(X1,X2),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_subsumption1) ).
cnf(karnaugh2,axiom,
or(and(not(X1),not(X2)),X2) = or(X2,not(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',karnaugh2) ).
cnf(demorgan2,axiom,
not(or(X1,X2)) = and(not(X1),not(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',demorgan2) ).
cnf(or_definition2,axiom,
or(X1,n1) = n1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',or_definition2) ).
cnf(not_involution,axiom,
not(not(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_involution) ).
cnf(circuit1,negated_conjecture,
a11 = not(and(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit1) ).
cnf(karnaugh3,axiom,
or(and(and(X1,X2),not(X3)),and(X1,X3)) = or(and(X1,X2),and(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',karnaugh3) ).
cnf(and_not_evaluation1,axiom,
and(X1,not(X1)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_not_evaluation1) ).
cnf(or_definition1,axiom,
or(X1,n0) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',or_definition1) ).
cnf(not_definition1,axiom,
not(n0) = n1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',not_definition1) ).
cnf(and_or_simplification,negated_conjecture,
and(or(X1,X2),X3) = or(and(X1,X3),and(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_simplification) ).
cnf(and_idempotency,axiom,
and(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_idempotency) ).
cnf(not_definition2,axiom,
not(n1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',not_definition2) ).
cnf(circuit4,negated_conjecture,
a14 = not(and(a12,a13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit4) ).
cnf(and_commutativity,negated_conjecture,
and(and(X1,X2),X3) = and(and(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_commutativity) ).
cnf(or_commutativity,negated_conjecture,
or(or(X1,X2),X3) = or(or(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).
cnf(or_idempotency,axiom,
or(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_idempotency) ).
cnf(or_not_evaluation2,axiom,
or(or(X1,X2),not(X2)) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_not_evaluation2) ).
cnf(and_not_evaluation2,axiom,
and(and(X1,X2),not(X2)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_not_evaluation2) ).
cnf(and_definition1,axiom,
and(X1,n0) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',and_definition1) ).
cnf(and_definition2,axiom,
and(X1,n1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',and_definition2) ).
cnf(circuit6,negated_conjecture,
a16 = not(and(a14,a15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit6) ).
cnf(circuit5,negated_conjecture,
a15 = not(and(a14,carryin)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit5) ).
cnf(karnaugh1,axiom,
or(and(X1,not(X2)),X2) = or(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',karnaugh1) ).
cnf(and_or_subsumption2,axiom,
or(and(X1,X2),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_subsumption2) ).
cnf(circuit7,negated_conjecture,
a17 = not(and(a15,carryin)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit7) ).
cnf(circuit9,negated_conjecture,
c1 = not(and(a11,a15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit9) ).
cnf(and_or_subsumption3,axiom,
or(or(and(X1,X2),X3),X2) = or(X3,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_subsumption3) ).
cnf(and_evaluation1,axiom,
and(and(X1,X2),X2) = and(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_evaluation1) ).
cnf(circuit8,negated_conjecture,
s1 = not(and(a16,a17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit8) ).
cnf(prove_circuit,negated_conjecture,
~ circuit(sum(a,b,carryin),carryout(a,b,carryin)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_circuit) ).
cnf(or_evaluation1,axiom,
or(or(X1,X2),X2) = or(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_evaluation1) ).
cnf(sum_definition,negated_conjecture,
sum(X1,X2,X3) = xor(xor(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_definition) ).
cnf(xor_definition,axiom,
xor(X1,X2) = or(and(X1,not(X2)),and(X2,not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_definition) ).
cnf(carryout_definition,negated_conjecture,
carryout(X1,X2,X3) = or(and(X1,or(X2,X3)),and(not(X1),and(X2,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',carryout_definition) ).
cnf(the_output_circuit,negated_conjecture,
circuit(s1,c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_output_circuit) ).
cnf(c_0_44,negated_conjecture,
a13 = not(and(a11,b)),
circuit3 ).
cnf(c_0_45,negated_conjecture,
and(X1,X2) = and(X2,X1),
and_symmetry ).
cnf(c_0_46,negated_conjecture,
a12 = not(and(a11,a)),
circuit2 ).
cnf(c_0_47,axiom,
or(or(X1,and(X2,X3)),X3) = or(X1,X3),
and_or_subsumption4 ).
cnf(c_0_48,negated_conjecture,
or(X1,X2) = or(X2,X1),
or_symmetry ).
cnf(c_0_49,axiom,
or(X1,not(X1)) = n1,
or_not_evaluation1 ).
cnf(c_0_50,negated_conjecture,
not(and(b,a11)) = a13,
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,axiom,
not(and(X1,X2)) = or(not(X1),not(X2)),
demorgan1 ).
cnf(c_0_52,negated_conjecture,
not(and(a,a11)) = a12,
inference(rw,[status(thm)],[c_0_46,c_0_45]) ).
cnf(c_0_53,axiom,
and(and(X1,X2),not(X1)) = n0,
and_not_evaluation3 ).
cnf(c_0_54,axiom,
or(and(X1,X2),X2) = X2,
and_or_subsumption1 ).
cnf(c_0_55,axiom,
or(and(not(X1),not(X2)),X2) = or(X2,not(X1)),
karnaugh2 ).
cnf(c_0_56,axiom,
not(or(X1,X2)) = and(not(X1),not(X2)),
demorgan2 ).
cnf(c_0_57,plain,
or(X1,or(X2,and(X3,X1))) = or(X2,X1),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,negated_conjecture,
or(a13,and(b,a11)) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_48]) ).
cnf(c_0_59,axiom,
or(X1,n1) = n1,
or_definition2 ).
cnf(c_0_60,axiom,
not(not(X1)) = X1,
not_involution ).
cnf(c_0_61,negated_conjecture,
a11 = not(and(a,b)),
circuit1 ).
cnf(c_0_62,axiom,
or(and(and(X1,X2),not(X3)),and(X1,X3)) = or(and(X1,X2),and(X1,X3)),
karnaugh3 ).
cnf(c_0_63,axiom,
and(X1,not(X1)) = n0,
and_not_evaluation1 ).
cnf(c_0_64,axiom,
or(X1,n0) = X1,
or_definition1 ).
cnf(c_0_65,negated_conjecture,
not(and(X1,and(a,a11))) = or(a12,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_48]) ).
cnf(c_0_66,negated_conjecture,
and(not(X1),and(X1,X2)) = n0,
inference(spm,[status(thm)],[c_0_45,c_0_53]) ).
cnf(c_0_67,axiom,
not(n0) = n1,
not_definition1 ).
cnf(c_0_68,negated_conjecture,
and(or(X1,X2),X3) = or(and(X1,X3),and(X2,X3)),
and_or_simplification ).
cnf(c_0_69,axiom,
and(X1,X1) = X1,
and_idempotency ).
cnf(c_0_70,plain,
or(X1,and(X2,X1)) = X1,
inference(rw,[status(thm)],[c_0_54,c_0_48]) ).
cnf(c_0_71,plain,
or(X1,not(or(X2,X1))) = or(X1,not(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56]),c_0_48]) ).
cnf(c_0_72,negated_conjecture,
or(a11,a13) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_48]) ).
cnf(c_0_73,axiom,
not(n1) = n0,
not_definition2 ).
cnf(c_0_74,negated_conjecture,
not(a11) = and(a,b),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_75,negated_conjecture,
or(a12,and(a,a11)) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_52]),c_0_48]) ).
cnf(c_0_76,negated_conjecture,
a14 = not(and(a12,a13)),
circuit4 ).
cnf(c_0_77,plain,
or(and(X1,X2),and(and(X1,X3),not(X2))) = or(and(X1,X3),and(X1,X2)),
inference(rw,[status(thm)],[c_0_62,c_0_48]) ).
cnf(c_0_78,negated_conjecture,
and(a12,and(a,a11)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_52]),c_0_45]) ).
cnf(c_0_79,negated_conjecture,
or(n0,X1) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_48]) ).
cnf(c_0_80,negated_conjecture,
and(and(X1,X2),X3) = and(and(X1,X3),X2),
and_commutativity ).
cnf(c_0_81,negated_conjecture,
or(a,a12) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_60]),c_0_48]) ).
cnf(c_0_82,negated_conjecture,
and(X1,or(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_48]),c_0_70]),c_0_45]) ).
cnf(c_0_83,negated_conjecture,
or(a13,and(a,b)) = a13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_64]),c_0_74]) ).
cnf(c_0_84,negated_conjecture,
or(a11,a12) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_75]),c_0_59]),c_0_48]) ).
cnf(c_0_85,negated_conjecture,
not(and(X1,and(a12,a13))) = or(a14,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_76]),c_0_48]) ).
cnf(c_0_86,negated_conjecture,
and(a12,and(a12,X1)) = and(a12,X1),
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_78]),c_0_52]),c_0_79]),c_0_64]),c_0_45]) ).
cnf(c_0_87,negated_conjecture,
not(a12) = and(a,a11),
inference(spm,[status(thm)],[c_0_60,c_0_52]) ).
cnf(c_0_88,negated_conjecture,
not(and(and(a12,a13),X1)) = or(a14,not(X1)),
inference(spm,[status(thm)],[c_0_51,c_0_76]) ).
cnf(c_0_89,negated_conjecture,
and(and(X1,X2),X3) = and(X2,and(X1,X3)),
inference(spm,[status(thm)],[c_0_45,c_0_80]) ).
cnf(c_0_90,negated_conjecture,
or(a12,not(a)) = a12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_81]),c_0_73]),c_0_64]) ).
cnf(c_0_91,negated_conjecture,
and(a13,and(a,b)) = and(a,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_45]) ).
cnf(c_0_92,negated_conjecture,
not(a13) = and(b,a11),
inference(spm,[status(thm)],[c_0_60,c_0_50]) ).
cnf(c_0_93,negated_conjecture,
or(a12,and(a,b)) = a12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_84]),c_0_73]),c_0_64]),c_0_74]) ).
cnf(c_0_94,negated_conjecture,
or(a14,and(a,a11)) = a14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_76]),c_0_87]) ).
cnf(c_0_95,negated_conjecture,
not(and(a13,and(a12,X1))) = or(a14,not(X1)),
inference(rw,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
and(a12,not(a)) = not(a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_90]),c_0_45]) ).
cnf(c_0_97,plain,
not(and(X1,not(X2))) = or(not(X1),X2),
inference(spm,[status(thm)],[c_0_51,c_0_60]) ).
cnf(c_0_98,negated_conjecture,
not(and(and(b,a11),X1)) = or(a13,not(X1)),
inference(spm,[status(thm)],[c_0_51,c_0_50]) ).
cnf(c_0_99,negated_conjecture,
and(and(a,b),and(b,a11)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_91]),c_0_92]) ).
cnf(c_0_100,negated_conjecture,
or(or(X1,X2),X3) = or(or(X1,X3),X2),
or_commutativity ).
cnf(c_0_101,axiom,
or(X1,X1) = X1,
or_idempotency ).
cnf(c_0_102,axiom,
or(or(X1,X2),not(X2)) = n1,
or_not_evaluation2 ).
cnf(c_0_103,negated_conjecture,
and(a12,and(a,b)) = and(a,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_93]),c_0_45]) ).
cnf(c_0_104,negated_conjecture,
and(X1,and(X2,X3)) = and(X3,and(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_89]),c_0_89]) ).
cnf(c_0_105,negated_conjecture,
and(a14,and(a,a11)) = and(a,a11),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_94]),c_0_45]) ).
cnf(c_0_106,axiom,
and(and(X1,X2),not(X2)) = n0,
and_not_evaluation2 ).
cnf(c_0_107,negated_conjecture,
not(or(X1,and(b,a11))) = and(a13,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_50]),c_0_45]) ).
cnf(c_0_108,negated_conjecture,
or(a,and(b,a11)) = or(a,a14),
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_95,c_0_96]),c_0_97]),c_0_92]),c_0_60]),c_0_48]),c_0_48]) ).
cnf(c_0_109,negated_conjecture,
not(and(a11,and(b,X1))) = or(a13,not(X1)),
inference(rw,[status(thm)],[c_0_98,c_0_89]) ).
cnf(c_0_110,negated_conjecture,
and(b,and(a,and(b,a11))) = n0,
inference(rw,[status(thm)],[c_0_99,c_0_89]) ).
cnf(c_0_111,axiom,
and(X1,n0) = n0,
and_definition1 ).
cnf(c_0_112,negated_conjecture,
not(and(X1,and(b,a11))) = or(a13,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_50]),c_0_48]) ).
cnf(c_0_113,negated_conjecture,
or(X1,or(X1,X2)) = or(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_48]) ).
cnf(c_0_114,axiom,
and(X1,n1) = X1,
and_definition2 ).
cnf(c_0_115,plain,
or(X1,not(and(X2,X1))) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_51]),c_0_60]),c_0_48]) ).
cnf(c_0_116,negated_conjecture,
and(b,and(a,a12)) = and(a,b),
inference(rw,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_117,negated_conjecture,
and(and(a,b),and(a,a11)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_103]),c_0_87]) ).
cnf(c_0_118,negated_conjecture,
and(X1,and(X1,X2)) = and(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_69]),c_0_45]) ).
cnf(c_0_119,negated_conjecture,
and(a11,and(a,a14)) = and(a,a11),
inference(rw,[status(thm)],[c_0_105,c_0_104]) ).
cnf(c_0_120,plain,
and(X1,not(or(X2,X1))) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_56]),c_0_60]),c_0_45]) ).
cnf(c_0_121,negated_conjecture,
not(or(a,a14)) = and(a13,not(a)),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_122,negated_conjecture,
and(or(X1,X2),not(X2)) = and(X1,not(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_63]),c_0_64]) ).
cnf(c_0_123,negated_conjecture,
or(a13,not(a)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_67]),c_0_112]),c_0_113]) ).
cnf(c_0_124,negated_conjecture,
and(n1,X1) = X1,
inference(spm,[status(thm)],[c_0_114,c_0_45]) ).
cnf(c_0_125,negated_conjecture,
a16 = not(and(a14,a15)),
circuit6 ).
cnf(c_0_126,negated_conjecture,
a15 = not(and(a14,carryin)),
circuit5 ).
cnf(c_0_127,axiom,
or(and(X1,not(X2)),X2) = or(X1,X2),
karnaugh1 ).
cnf(c_0_128,axiom,
or(and(X1,X2),X1) = X1,
and_or_subsumption2 ).
cnf(c_0_129,negated_conjecture,
or(a11,and(a,a12)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_61]),c_0_48]) ).
cnf(c_0_130,negated_conjecture,
and(b,and(a,a11)) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_89]),c_0_118]) ).
cnf(c_0_131,negated_conjecture,
or(a12,and(a,a14)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_119]),c_0_52]),c_0_48]) ).
cnf(c_0_132,plain,
or(and(X1,X2),and(X3,and(X1,not(X2)))) = or(and(X1,X3),and(X1,X2)),
inference(rw,[status(thm)],[c_0_77,c_0_89]) ).
cnf(c_0_133,negated_conjecture,
and(a14,and(a13,not(a))) = n0,
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_134,negated_conjecture,
and(a,a13) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_60]),c_0_124]),c_0_60]),c_0_45]) ).
cnf(c_0_135,negated_conjecture,
not(and(a15,a14)) = a16,
inference(rw,[status(thm)],[c_0_125,c_0_45]) ).
cnf(c_0_136,negated_conjecture,
not(and(carryin,a14)) = a15,
inference(rw,[status(thm)],[c_0_126,c_0_45]) ).
cnf(c_0_137,plain,
or(X1,and(X2,not(X1))) = or(X2,X1),
inference(rw,[status(thm)],[c_0_127,c_0_48]) ).
cnf(c_0_138,plain,
or(X1,and(X1,X2)) = X1,
inference(rw,[status(thm)],[c_0_128,c_0_48]) ).
cnf(c_0_139,negated_conjecture,
and(a11,not(and(a,a12))) = not(and(a,a12)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_129]),c_0_124]) ).
cnf(c_0_140,negated_conjecture,
or(a12,not(b)) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_130]),c_0_67]) ).
cnf(c_0_141,negated_conjecture,
and(a12,not(and(a,a14))) = not(and(a,a14)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_131]),c_0_124]) ).
cnf(c_0_142,negated_conjecture,
or(a,and(a14,a13)) = a,
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_132,c_0_133]),c_0_45]),c_0_134]),c_0_64]),c_0_45]),c_0_45]),c_0_134]),c_0_48]) ).
cnf(c_0_143,negated_conjecture,
not(and(X1,and(a15,a14))) = or(a16,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_135]),c_0_48]) ).
cnf(c_0_144,negated_conjecture,
not(a15) = and(carryin,a14),
inference(spm,[status(thm)],[c_0_60,c_0_136]) ).
cnf(c_0_145,plain,
or(not(X1),and(X2,X1)) = or(X2,not(X1)),
inference(spm,[status(thm)],[c_0_137,c_0_60]) ).
cnf(c_0_146,negated_conjecture,
and(a11,and(a,a12)) = n0,
inference(rw,[status(thm)],[c_0_78,c_0_104]) ).
cnf(c_0_147,negated_conjecture,
or(a11,not(and(a,a12))) = a11,
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_148,negated_conjecture,
and(b,a12) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_140]),c_0_60]),c_0_124]),c_0_60]),c_0_45]) ).
cnf(c_0_149,negated_conjecture,
or(and(a,a14),and(b,a11)) = a14,
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_95,c_0_141]),c_0_97]),c_0_92]),c_0_60]),c_0_70]),c_0_48]) ).
cnf(c_0_150,negated_conjecture,
not(a14) = and(a12,a13),
inference(spm,[status(thm)],[c_0_60,c_0_76]) ).
cnf(c_0_151,negated_conjecture,
and(a14,a13) = and(a,a14),
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_82,c_0_142]),c_0_89]),c_0_45]),c_0_104]),c_0_134]),c_0_45]) ).
cnf(c_0_152,negated_conjecture,
or(a15,a16) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_66]),c_0_67]),c_0_144]),c_0_136]),c_0_48]) ).
cnf(c_0_153,negated_conjecture,
or(a15,and(carryin,a14)) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_136]),c_0_48]) ).
cnf(c_0_154,negated_conjecture,
a17 = not(and(a15,carryin)),
circuit7 ).
cnf(c_0_155,negated_conjecture,
not(and(a,a12)) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_64]),c_0_147]) ).
cnf(c_0_156,negated_conjecture,
and(a12,and(b,X1)) = and(b,X1),
inference(spm,[status(thm)],[c_0_89,c_0_148]) ).
cnf(c_0_157,negated_conjecture,
and(a13,not(and(a,a14))) = and(a12,a13),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_149]),c_0_150]) ).
cnf(c_0_158,negated_conjecture,
or(a13,and(a,a14)) = a13,
inference(spm,[status(thm)],[c_0_70,c_0_151]) ).
cnf(c_0_159,negated_conjecture,
c1 = not(and(a11,a15)),
circuit9 ).
cnf(c_0_160,negated_conjecture,
or(a16,and(carryin,a14)) = a16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_152]),c_0_73]),c_0_64]),c_0_144]) ).
cnf(c_0_161,negated_conjecture,
or(a15,a14) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_153]),c_0_59]) ).
cnf(c_0_162,negated_conjecture,
or(n1,X1) = n1,
inference(spm,[status(thm)],[c_0_59,c_0_48]) ).
cnf(c_0_163,axiom,
or(or(and(X1,X2),X3),X2) = or(X3,X2),
and_or_subsumption3 ).
cnf(c_0_164,negated_conjecture,
not(and(carryin,a15)) = a17,
inference(rw,[status(thm)],[c_0_154,c_0_45]) ).
cnf(c_0_165,negated_conjecture,
not(and(and(carryin,a14),X1)) = or(a15,not(X1)),
inference(spm,[status(thm)],[c_0_51,c_0_136]) ).
cnf(c_0_166,negated_conjecture,
and(a,a12) = and(a,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_155]),c_0_74]) ).
cnf(c_0_167,negated_conjecture,
not(or(X1,and(a12,a13))) = and(a14,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_76]),c_0_45]) ).
cnf(c_0_168,negated_conjecture,
or(a12,and(b,X1)) = a12,
inference(spm,[status(thm)],[c_0_138,c_0_156]) ).
cnf(c_0_169,negated_conjecture,
or(and(a,a14),and(a12,a13)) = a13,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_157]),c_0_158]) ).
cnf(c_0_170,negated_conjecture,
not(and(and(a11,a15),X1)) = or(c1,not(X1)),
inference(spm,[status(thm)],[c_0_51,c_0_159]) ).
cnf(c_0_171,negated_conjecture,
and(a16,and(carryin,a14)) = and(carryin,a14),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_160]),c_0_45]) ).
cnf(c_0_172,negated_conjecture,
or(a14,or(a15,X1)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_161]),c_0_162]),c_0_48]) ).
cnf(c_0_173,plain,
or(X1,or(and(X2,X1),X3)) = or(X3,X1),
inference(rw,[status(thm)],[c_0_163,c_0_48]) ).
cnf(c_0_174,negated_conjecture,
or(or(X1,X2),X3) = or(X2,or(X1,X3)),
inference(spm,[status(thm)],[c_0_48,c_0_100]) ).
cnf(c_0_175,negated_conjecture,
not(and(X1,and(carryin,a14))) = or(a15,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_136]),c_0_48]) ).
cnf(c_0_176,negated_conjecture,
not(and(X1,and(carryin,a15))) = or(a17,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_164]),c_0_48]) ).
cnf(c_0_177,negated_conjecture,
not(and(a14,and(carryin,X1))) = or(a15,not(X1)),
inference(rw,[status(thm)],[c_0_165,c_0_89]) ).
cnf(c_0_178,negated_conjecture,
and(a13,or(a,a14)) = and(a,a13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_108]),c_0_50]),c_0_50]),c_0_45]) ).
cnf(c_0_179,negated_conjecture,
not(or(X1,and(a,a11))) = and(a12,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_52]),c_0_45]) ).
cnf(c_0_180,negated_conjecture,
or(and(a,b),and(a,a11)) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_166]),c_0_87]),c_0_87]),c_0_138]),c_0_48]) ).
cnf(c_0_181,negated_conjecture,
and(a,a14) = and(a,a11),
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_167,c_0_145]),c_0_92]),c_0_168]),c_0_87]),c_0_92]),c_0_50]),c_0_151]) ).
cnf(c_0_182,negated_conjecture,
and(a14,not(and(a,a14))) = and(b,a11),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_169]),c_0_92]) ).
cnf(c_0_183,negated_conjecture,
not(and(a15,and(a11,X1))) = or(c1,not(X1)),
inference(rw,[status(thm)],[c_0_170,c_0_89]) ).
cnf(c_0_184,negated_conjecture,
and(a14,and(carryin,a16)) = and(carryin,a14),
inference(rw,[status(thm)],[c_0_171,c_0_104]) ).
cnf(c_0_185,negated_conjecture,
or(a14,or(X1,a15)) = n1,
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_186,negated_conjecture,
or(X1,or(X2,X3)) = or(X3,or(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_174]),c_0_174]) ).
cnf(c_0_187,negated_conjecture,
or(a11,and(a,a14)) = or(a11,a14),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_149]),c_0_48]) ).
cnf(c_0_188,negated_conjecture,
or(carryin,a15) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_66]),c_0_67]),c_0_60]),c_0_48]) ).
cnf(c_0_189,negated_conjecture,
or(a16,and(a15,a14)) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_135]),c_0_48]) ).
cnf(c_0_190,negated_conjecture,
or(a17,and(a12,a13)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_144]),c_0_153]),c_0_150]) ).
cnf(c_0_191,negated_conjecture,
and(a13,or(a,a14)) = a,
inference(rw,[status(thm)],[c_0_178,c_0_134]) ).
cnf(c_0_192,negated_conjecture,
not(a) = and(a11,a12),
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_179,c_0_145]),c_0_74]),c_0_138]),c_0_74]),c_0_61]),c_0_45]) ).
cnf(c_0_193,negated_conjecture,
not(b) = and(a11,a13),
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_107,c_0_145]),c_0_74]),c_0_70]),c_0_74]),c_0_61]),c_0_45]) ).
cnf(c_0_194,negated_conjecture,
and(not(X1),or(X2,and(X1,X3))) = and(X2,not(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_53]),c_0_64]),c_0_45]) ).
cnf(c_0_195,negated_conjecture,
or(b,and(a,a11)) = or(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_180]),c_0_48]),c_0_48]) ).
cnf(c_0_196,negated_conjecture,
and(a11,or(a,b)) = a14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_181]),c_0_68]),c_0_45]) ).
cnf(c_0_197,negated_conjecture,
and(a14,a12) = and(b,a11),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_181]),c_0_52]) ).
cnf(c_0_198,negated_conjecture,
or(c1,not(and(a,a12))) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_146]),c_0_111]),c_0_67]) ).
cnf(c_0_199,negated_conjecture,
not(and(and(a15,a14),X1)) = or(a16,not(X1)),
inference(spm,[status(thm)],[c_0_51,c_0_135]) ).
cnf(c_0_200,negated_conjecture,
or(a15,and(carryin,a16)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_184]),c_0_136]),c_0_48]) ).
cnf(c_0_201,negated_conjecture,
or(a15,or(X1,a14)) = n1,
inference(rw,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_202,negated_conjecture,
or(a11,a14) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_181]),c_0_70]) ).
cnf(c_0_203,negated_conjecture,
or(a15,not(carryin)) = a15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_188]),c_0_73]),c_0_64]) ).
cnf(c_0_204,negated_conjecture,
or(a14,a16) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_189]),c_0_59]),c_0_48]) ).
cnf(c_0_205,negated_conjecture,
and(a14,a17) = a14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_190]),c_0_76]),c_0_124]),c_0_76]),c_0_45]) ).
cnf(c_0_206,negated_conjecture,
and(not(X1),or(X2,and(X3,X1))) = and(X2,not(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_106]),c_0_64]),c_0_45]) ).
cnf(c_0_207,negated_conjecture,
or(a,and(a12,and(a11,a13))) = a13,
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_145,c_0_191]),c_0_121]),c_0_121]),c_0_138]),c_0_192]),c_0_104]),c_0_48]) ).
cnf(c_0_208,negated_conjecture,
not(and(a11,a13)) = b,
inference(spm,[status(thm)],[c_0_60,c_0_193]) ).
cnf(c_0_209,negated_conjecture,
and(b,and(a11,a12)) = and(b,a11),
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_194,c_0_195]),c_0_192]),c_0_89]),c_0_196]),c_0_45]),c_0_197]),c_0_192]) ).
cnf(c_0_210,negated_conjecture,
not(and(a11,a12)) = a,
inference(spm,[status(thm)],[c_0_60,c_0_192]) ).
cnf(c_0_211,negated_conjecture,
and(c1,and(a,a12)) = and(a,a12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_198]),c_0_60]),c_0_124]),c_0_60]) ).
cnf(c_0_212,negated_conjecture,
not(and(a14,and(a15,X1))) = or(a16,not(X1)),
inference(rw,[status(thm)],[c_0_199,c_0_89]) ).
cnf(c_0_213,negated_conjecture,
and(a15,not(and(carryin,a16))) = not(and(carryin,a16)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_200]),c_0_124]) ).
cnf(c_0_214,negated_conjecture,
or(a11,a15) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_48]) ).
cnf(c_0_215,negated_conjecture,
and(a15,not(carryin)) = not(carryin),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_203]),c_0_45]) ).
cnf(c_0_216,negated_conjecture,
or(a16,or(a14,X1)) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_204]),c_0_162]),c_0_48]) ).
cnf(c_0_217,negated_conjecture,
or(a14,a17) = a17,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_205]),c_0_48]) ).
cnf(c_0_218,axiom,
and(and(X1,X2),X2) = and(X1,X2),
and_evaluation1 ).
cnf(c_0_219,negated_conjecture,
and(a12,or(a,b)) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_195]),c_0_52]),c_0_52]),c_0_148]),c_0_45]) ).
cnf(c_0_220,negated_conjecture,
and(b,a13) = and(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]),c_0_208]) ).
cnf(c_0_221,negated_conjecture,
not(or(a,a14)) = and(a12,and(a11,a13)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_192]),c_0_104]) ).
cnf(c_0_222,negated_conjecture,
or(a,a14) = or(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_209]),c_0_210]),c_0_108]),c_0_210]),c_0_48]) ).
cnf(c_0_223,negated_conjecture,
or(c1,and(a,a12)) = c1,
inference(spm,[status(thm)],[c_0_138,c_0_211]) ).
cnf(c_0_224,negated_conjecture,
and(a11,a14) = a14,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_202]),c_0_45]) ).
cnf(c_0_225,negated_conjecture,
or(and(carryin,a16),and(a12,a13)) = a16,
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_212,c_0_213]),c_0_97]),c_0_150]),c_0_60]),c_0_70]),c_0_48]) ).
cnf(c_0_226,negated_conjecture,
and(a11,and(carryin,a14)) = and(carryin,a14),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_214]),c_0_144]),c_0_124]),c_0_144]) ).
cnf(c_0_227,negated_conjecture,
not(or(X1,and(a11,a15))) = and(c1,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_159]),c_0_45]) ).
cnf(c_0_228,negated_conjecture,
not(or(X1,and(carryin,a14))) = and(a15,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_136]),c_0_45]) ).
cnf(c_0_229,negated_conjecture,
or(carryin,and(a12,a13)) = or(carryin,a16),
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_212,c_0_215]),c_0_97]),c_0_150]),c_0_60]),c_0_48]),c_0_48]) ).
cnf(c_0_230,negated_conjecture,
not(or(X1,and(carryin,a15))) = and(a17,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_164]),c_0_45]) ).
cnf(c_0_231,negated_conjecture,
and(or(X1,X2),not(X1)) = and(X2,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_63]),c_0_79]) ).
cnf(c_0_232,negated_conjecture,
or(a16,a17) = n1,
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_233,negated_conjecture,
not(a16) = and(a15,a14),
inference(spm,[status(thm)],[c_0_60,c_0_135]) ).
cnf(c_0_234,plain,
and(X1,and(X2,X1)) = and(X2,X1),
inference(rw,[status(thm)],[c_0_218,c_0_45]) ).
cnf(c_0_235,negated_conjecture,
or(a14,not(or(a,b))) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_219]),c_0_45]),c_0_220]),c_0_61]) ).
cnf(c_0_236,negated_conjecture,
not(or(a,b)) = and(a12,and(a11,a13)),
inference(rw,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_237,negated_conjecture,
or(and(a,a12),and(carryin,a14)) = c1,
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_183,c_0_139]),c_0_97]),c_0_144]),c_0_60]),c_0_223]),c_0_48]) ).
cnf(c_0_238,negated_conjecture,
or(c1,and(a12,a13)) = a16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_224]),c_0_135]),c_0_150]) ).
cnf(c_0_239,negated_conjecture,
and(a14,a16) = and(carryin,a14),
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_122,c_0_225]),c_0_76]),c_0_45]),c_0_76]),c_0_89]),c_0_104]),c_0_184]) ).
cnf(c_0_240,negated_conjecture,
or(a11,and(carryin,a14)) = a11,
inference(spm,[status(thm)],[c_0_138,c_0_226]) ).
cnf(c_0_241,negated_conjecture,
and(b,and(a,a15)) = and(a15,c1),
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_227,c_0_145]),c_0_144]),c_0_228]),c_0_74]),c_0_104]),c_0_144]),c_0_136]),c_0_45]) ).
cnf(c_0_242,negated_conjecture,
not(or(carryin,a16)) = and(a14,not(carryin)),
inference(spm,[status(thm)],[c_0_167,c_0_229]) ).
cnf(c_0_243,negated_conjecture,
not(carryin) = and(a15,a17),
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_230,c_0_145]),c_0_144]),c_0_138]),c_0_144]),c_0_136]),c_0_45]) ).
cnf(c_0_244,negated_conjecture,
and(a14,and(a15,a17)) = and(a15,a14),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]),c_0_124]),c_0_233]),c_0_104]) ).
cnf(c_0_245,negated_conjecture,
and(not(X1),or(and(X1,X2),X3)) = and(X3,not(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_53]),c_0_45]),c_0_79]) ).
cnf(c_0_246,negated_conjecture,
and(a11,and(b,not(a))) = and(b,a11),
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_231,c_0_123]),c_0_92]),c_0_124]),c_0_92]),c_0_45]),c_0_89]) ).
cnf(c_0_247,plain,
not(and(or(X1,X2),or(X2,not(X1)))) = not(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_71]),c_0_51]),c_0_51]),c_0_45]),c_0_82]) ).
cnf(c_0_248,negated_conjecture,
or(a16,and(a12,a13)) = a16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_204]),c_0_73]),c_0_64]),c_0_150]) ).
cnf(c_0_249,negated_conjecture,
or(and(a12,a13),and(X1,a14)) = or(X1,and(a12,a13)),
inference(spm,[status(thm)],[c_0_137,c_0_76]) ).
cnf(c_0_250,negated_conjecture,
or(a15,and(a12,a13)) = a15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_234]),c_0_136]),c_0_150]) ).
cnf(c_0_251,negated_conjecture,
or(a14,and(a12,and(a11,a13))) = a11,
inference(rw,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_252,negated_conjecture,
or(a14,and(a,a12)) = or(a14,c1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_237]),c_0_48]) ).
cnf(c_0_253,negated_conjecture,
or(and(a11,a15),and(X1,c1)) = or(X1,and(a11,a15)),
inference(spm,[status(thm)],[c_0_137,c_0_159]) ).
cnf(c_0_254,negated_conjecture,
and(a14,c1) = and(carryin,a14),
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_122,c_0_238]),c_0_76]),c_0_45]),c_0_239]),c_0_76]),c_0_45]) ).
cnf(c_0_255,negated_conjecture,
or(and(carryin,a14),and(X1,a15)) = or(X1,and(carryin,a14)),
inference(spm,[status(thm)],[c_0_137,c_0_136]) ).
cnf(c_0_256,negated_conjecture,
and(a15,c1) = and(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_240]),c_0_74]),c_0_74]),c_0_104]),c_0_241]) ).
cnf(c_0_257,negated_conjecture,
not(c1) = and(a11,a15),
inference(spm,[status(thm)],[c_0_60,c_0_159]) ).
cnf(c_0_258,negated_conjecture,
not(or(carryin,a16)) = and(a15,a14),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).
cnf(c_0_259,negated_conjecture,
and(a14,not(a)) = and(b,a11),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_149]),c_0_45]),c_0_89]),c_0_246]) ).
cnf(c_0_260,negated_conjecture,
not(and(a15,a16)) = a14,
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_247,c_0_248]),c_0_233]),c_0_249]),c_0_250]),c_0_45]),c_0_76]) ).
cnf(c_0_261,negated_conjecture,
or(X1,not(or(X1,X2))) = or(X1,not(X2)),
inference(spm,[status(thm)],[c_0_71,c_0_48]) ).
cnf(c_0_262,negated_conjecture,
or(a14,and(a11,a13)) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_251]),c_0_48]),c_0_138]) ).
cnf(c_0_263,negated_conjecture,
or(a14,and(a,b)) = or(a14,c1),
inference(rw,[status(thm)],[c_0_252,c_0_166]) ).
cnf(c_0_264,negated_conjecture,
or(a14,and(a11,a12)) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_222]),c_0_235]),c_0_192]) ).
cnf(c_0_265,negated_conjecture,
or(and(X1,X2),and(X2,X3)) = and(or(X1,X3),X2),
inference(spm,[status(thm)],[c_0_68,c_0_45]) ).
cnf(c_0_266,negated_conjecture,
or(a14,and(a11,a15)) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_48]),c_0_255]),c_0_240]) ).
cnf(c_0_267,negated_conjecture,
or(and(a,b),and(a11,a15)) = a15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_256]),c_0_257]),c_0_257]),c_0_70]),c_0_48]) ).
cnf(c_0_268,negated_conjecture,
or(a13,or(carryin,a16)) = or(carryin,a13),
inference(spm,[status(thm)],[c_0_57,c_0_229]) ).
cnf(c_0_269,negated_conjecture,
or(carryin,a16) = a16,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_258]),c_0_135]) ).
cnf(c_0_270,negated_conjecture,
or(a,and(a12,a13)) = a13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_259]),c_0_50]),c_0_150]),c_0_48]) ).
cnf(c_0_271,negated_conjecture,
and(a12,a13) = and(a15,a16),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_260]),c_0_150]) ).
cnf(c_0_272,negated_conjecture,
or(a14,c1) = or(b,a14),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_74]),c_0_263]),c_0_208]),c_0_48]) ).
cnf(c_0_273,negated_conjecture,
or(and(a,b),and(a11,a12)) = a12,
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_71,c_0_264]),c_0_74]),c_0_150]),c_0_265]),c_0_72]),c_0_124]),c_0_48]) ).
cnf(c_0_274,negated_conjecture,
or(b,a12) = a12,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_148]),c_0_48]) ).
cnf(c_0_275,negated_conjecture,
not(and(X1,and(a,b))) = or(a11,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_61]),c_0_48]) ).
cnf(c_0_276,negated_conjecture,
or(and(a11,a15),and(a12,a13)) = a15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_266]),c_0_74]),c_0_48]),c_0_267]),c_0_150]) ).
cnf(c_0_277,negated_conjecture,
or(a13,a16) = or(carryin,a13),
inference(rw,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_278,negated_conjecture,
or(a,and(a15,a16)) = a13,
inference(rw,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_279,negated_conjecture,
or(and(a,a11),and(a12,a13)) = a13,
inference(rw,[status(thm)],[c_0_169,c_0_181]) ).
cnf(c_0_280,negated_conjecture,
or(b,a14) = or(a,b),
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_261,c_0_264]),c_0_74]),c_0_263]),c_0_210]),c_0_48]),c_0_222]),c_0_272]) ).
cnf(c_0_281,negated_conjecture,
or(b,and(a11,a12)) = a12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_273]),c_0_274]),c_0_48]) ).
cnf(c_0_282,negated_conjecture,
or(a,a11) = n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_66]),c_0_67]),c_0_60]),c_0_48]) ).
cnf(c_0_283,negated_conjecture,
s1 = not(and(a16,a17)),
circuit8 ).
cnf(c_0_284,negated_conjecture,
not(a17) = and(carryin,a15),
inference(spm,[status(thm)],[c_0_60,c_0_164]) ).
cnf(c_0_285,negated_conjecture,
or(a13,and(a11,a15)) = or(a15,a13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_276]),c_0_48]),c_0_48]) ).
cnf(c_0_286,negated_conjecture,
or(c1,a13) = or(carryin,a13),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_238]),c_0_277]) ).
cnf(c_0_287,negated_conjecture,
or(carryin,a13) = or(a,a16),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_278]),c_0_48]),c_0_277]) ).
cnf(c_0_288,negated_conjecture,
or(and(a,a11),and(a15,a16)) = a13,
inference(rw,[status(thm)],[c_0_279,c_0_271]) ).
cnf(c_0_289,negated_conjecture,
or(b,and(a15,a16)) = a12,
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_261,c_0_280]),c_0_71]),c_0_192]),c_0_281]),c_0_150]),c_0_271]) ).
cnf(c_0_290,negated_conjecture,
or(a11,not(a)) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_282]),c_0_73]),c_0_64]) ).
cnf(c_0_291,negated_conjecture,
not(or(X1,and(a16,a17))) = and(s1,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_283]),c_0_45]) ).
cnf(c_0_292,negated_conjecture,
or(a16,and(carryin,a15)) = a16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_244]),c_0_135]),c_0_284]) ).
cnf(c_0_293,negated_conjecture,
not(and(X1,and(a16,a17))) = or(s1,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_283]),c_0_48]) ).
cnf(c_0_294,negated_conjecture,
or(a13,and(carryin,a14)) = or(a,a16),
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_261,c_0_285]),c_0_71]),c_0_144]),c_0_159]),c_0_48]),c_0_286]),c_0_287]) ).
cnf(c_0_295,negated_conjecture,
or(a16,and(a,a11)) = or(a,a16),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_288]),c_0_48]),c_0_277]),c_0_287]),c_0_48]) ).
cnf(c_0_296,negated_conjecture,
or(a12,a16) = or(b,a16),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_289]),c_0_48]) ).
cnf(c_0_297,negated_conjecture,
not(or(X1,and(a,b))) = and(a11,not(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_61]),c_0_45]) ).
cnf(c_0_298,negated_conjecture,
and(a11,not(a)) = not(a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_290]),c_0_45]) ).
cnf(c_0_299,negated_conjecture,
and(s1,a17) = and(a15,a14),
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_291,c_0_145]),c_0_284]),c_0_292]),c_0_233]),c_0_284]),c_0_164]) ).
cnf(c_0_300,negated_conjecture,
or(s1,and(carryin,a15)) = s1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_234]),c_0_283]),c_0_284]) ).
cnf(c_0_301,negated_conjecture,
and(a15,or(a,a16)) = and(a15,a13),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_294]),c_0_136]),c_0_136]),c_0_45]),c_0_45]) ).
cnf(c_0_302,negated_conjecture,
or(a16,and(a11,a12)) = or(b,a16),
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_261,c_0_295]),c_0_71]),c_0_192]),c_0_52]),c_0_48]),c_0_296]) ).
cnf(c_0_303,negated_conjecture,
not(or(a14,c1)) = and(a11,and(a12,a13)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_263]),c_0_150]) ).
cnf(c_0_304,negated_conjecture,
and(or(a11,X1),not(a)) = not(a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_298]),c_0_70]) ).
cnf(c_0_305,negated_conjecture,
and(a15,or(carryin,a14)) = s1,
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_145,c_0_299]),c_0_284]),c_0_265]),c_0_284]),c_0_300]),c_0_45]) ).
cnf(c_0_306,negated_conjecture,
or(a16,and(b,a11)) = or(b,a16),
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_212,c_0_301]),c_0_212]),c_0_92]),c_0_71]),c_0_192]),c_0_302]) ).
cnf(c_0_307,negated_conjecture,
or(a,and(carryin,a14)) = or(a,c1),
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_183,c_0_298]),c_0_97]),c_0_144]),c_0_60]),c_0_48]),c_0_48]) ).
cnf(c_0_308,negated_conjecture,
or(c1,and(a11,and(a12,a13))) = a16,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_303]),c_0_150]),c_0_238]) ).
cnf(c_0_309,negated_conjecture,
or(a,not(or(a11,X1))) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_304]),c_0_60]),c_0_48]) ).
cnf(c_0_310,negated_conjecture,
and(a15,s1) = s1,
inference(spm,[status(thm)],[c_0_118,c_0_305]) ).
cnf(c_0_311,negated_conjecture,
not(and(and(a,a11),X1)) = or(a12,not(X1)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_312,negated_conjecture,
and(a14,and(a15,not(X1))) = not(or(a16,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_233]),c_0_89]) ).
cnf(c_0_313,negated_conjecture,
not(or(b,a16)) = and(a14,and(a15,a13)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_306]),c_0_233]),c_0_104]) ).
cnf(c_0_314,negated_conjecture,
and(a14,and(a15,a13)) = and(a,and(a15,a14)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_278]),c_0_233]),c_0_89]),c_0_233]) ).
cnf(c_0_315,negated_conjecture,
not(or(a14,c1)) = and(a11,and(a15,a16)),
inference(rw,[status(thm)],[c_0_303,c_0_271]) ).
cnf(c_0_316,negated_conjecture,
and(a14,and(carryin,not(a))) = and(c1,not(a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_307]),c_0_231]),c_0_89]) ).
cnf(c_0_317,negated_conjecture,
and(a16,or(a14,c1)) = c1,
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_122,c_0_308]),c_0_85]),c_0_74]),c_0_263]),c_0_85]),c_0_74]),c_0_263]),c_0_82]) ).
cnf(c_0_318,negated_conjecture,
or(a,and(s1,and(a,b))) = a,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_291]),c_0_74]) ).
cnf(c_0_319,negated_conjecture,
and(s1,and(a15,X1)) = and(s1,X1),
inference(spm,[status(thm)],[c_0_89,c_0_310]) ).
cnf(c_0_320,negated_conjecture,
or(X1,or(X2,and(X1,X3))) = or(X2,X1),
inference(spm,[status(thm)],[c_0_57,c_0_45]) ).
cnf(c_0_321,negated_conjecture,
or(a12,and(carryin,a14)) = or(c1,a12),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_237]),c_0_48]),c_0_48]) ).
cnf(c_0_322,negated_conjecture,
not(and(a11,and(a,X1))) = or(a12,not(X1)),
inference(rw,[status(thm)],[c_0_311,c_0_89]) ).
cnf(c_0_323,negated_conjecture,
and(a11,and(a,a15)) = and(a,and(a15,a14)),
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_312,c_0_210]),c_0_45]),c_0_302]),c_0_313]),c_0_314]),c_0_104]),c_0_181]),c_0_104]) ).
cnf(c_0_324,negated_conjecture,
and(a12,and(a11,a13)) = and(a11,and(a15,a16)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_272]),c_0_280]),c_0_236]) ).
cnf(c_0_325,negated_conjecture,
or(a,and(a11,a15)) = or(a,a15),
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_177,c_0_316]),c_0_97]),c_0_257]),c_0_60]),c_0_48]),c_0_48]) ).
cnf(c_0_326,negated_conjecture,
and(X1,and(X2,or(X1,X3))) = and(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_234]),c_0_70]),c_0_104]) ).
cnf(c_0_327,negated_conjecture,
and(a16,or(a,b)) = c1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_272]),c_0_280]) ).
cnf(c_0_328,negated_conjecture,
and(or(a12,X1),not(a)) = not(a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_96]),c_0_70]) ).
cnf(c_0_329,negated_conjecture,
or(a,and(b,and(a,s1))) = a,
inference(rw,[status(thm)],[c_0_318,c_0_104]) ).
cnf(c_0_330,negated_conjecture,
and(b,and(a,s1)) = and(s1,c1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_256]),c_0_104]) ).
cnf(c_0_331,negated_conjecture,
~ circuit(sum(a,b,carryin),carryout(a,b,carryin)),
inference(fof_simplification,[status(thm)],[prove_circuit]) ).
cnf(c_0_332,axiom,
or(or(X1,X2),X2) = or(X1,X2),
or_evaluation1 ).
cnf(c_0_333,negated_conjecture,
or(carryin,or(c1,a12)) = or(carryin,a12),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_48]) ).
cnf(c_0_334,negated_conjecture,
or(c1,a12) = or(b,a16),
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_322,c_0_323]),c_0_143]),c_0_192]),c_0_302]),c_0_144]),c_0_321]) ).
cnf(c_0_335,negated_conjecture,
or(a12,or(X1,b)) = or(X1,a12),
inference(spm,[status(thm)],[c_0_57,c_0_148]) ).
cnf(c_0_336,plain,
or(X1,not(or(X2,and(X3,X1)))) = or(not(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_71]),c_0_173]),c_0_48]) ).
cnf(c_0_337,negated_conjecture,
or(b,and(a11,and(a15,a16))) = a12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_324]),c_0_208]),c_0_208]),c_0_48]),c_0_274]) ).
cnf(c_0_338,negated_conjecture,
or(a15,a13) = or(a,a15),
inference(spm,[status(thm)],[c_0_320,c_0_278]) ).
cnf(c_0_339,negated_conjecture,
not(or(a15,a13)) = and(a11,and(b,c1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_285]),c_0_92]),c_0_104]) ).
cnf(c_0_340,negated_conjecture,
not(or(a,a15)) = and(c1,not(a)),
inference(spm,[status(thm)],[c_0_227,c_0_325]) ).
cnf(c_0_341,negated_conjecture,
and(a,a16) = and(a,c1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_45]) ).
cnf(c_0_342,negated_conjecture,
or(a,not(or(a12,X1))) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_328]),c_0_60]),c_0_48]) ).
cnf(c_0_343,negated_conjecture,
or(a,and(s1,c1)) = a,
inference(rw,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_344,negated_conjecture,
~ circuit(sum(a,b,carryin),carryout(a,b,carryin)),
c_0_331 ).
cnf(c_0_345,negated_conjecture,
sum(X1,X2,X3) = xor(xor(X1,X2),X3),
sum_definition ).
cnf(c_0_346,axiom,
xor(X1,X2) = or(and(X1,not(X2)),and(X2,not(X1))),
xor_definition ).
cnf(c_0_347,negated_conjecture,
carryout(X1,X2,X3) = or(and(X1,or(X2,X3)),and(not(X1),and(X2,X3))),
carryout_definition ).
cnf(c_0_348,plain,
or(X1,or(X2,X1)) = or(X2,X1),
inference(rw,[status(thm)],[c_0_332,c_0_48]) ).
cnf(c_0_349,negated_conjecture,
or(carryin,or(b,a16)) = or(carryin,a12),
inference(rw,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_350,negated_conjecture,
or(b,or(X1,a12)) = or(X1,a12),
inference(rw,[status(thm)],[c_0_335,c_0_186]) ).
cnf(c_0_351,negated_conjecture,
or(a16,or(carryin,X1)) = or(a16,X1),
inference(spm,[status(thm)],[c_0_174,c_0_269]) ).
cnf(c_0_352,negated_conjecture,
or(and(a11,a13),and(a15,a16)) = a13,
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_87]),c_0_48]),c_0_288]),c_0_193]) ).
cnf(c_0_353,negated_conjecture,
and(X1,and(X2,or(X3,X1))) = and(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_234]),c_0_48]),c_0_70]),c_0_104]) ).
cnf(c_0_354,negated_conjecture,
or(a15,and(a,a11)) = or(a,a15),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_288]),c_0_48]),c_0_338]) ).
cnf(c_0_355,negated_conjecture,
and(c1,and(a11,a12)) = and(a11,and(b,c1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_339,c_0_338]),c_0_340]),c_0_192]) ).
cnf(c_0_356,negated_conjecture,
and(a14,and(carryin,a12)) = and(b,and(carryin,a14)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_289]),c_0_144]),c_0_89]),c_0_144]) ).
cnf(c_0_357,negated_conjecture,
and(a,or(b,a16)) = and(a,c1),
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_122,c_0_302]),c_0_210]),c_0_210]),c_0_45]),c_0_341]),c_0_45]) ).
cnf(c_0_358,negated_conjecture,
or(a,not(or(b,a16))) = a,
inference(spm,[status(thm)],[c_0_342,c_0_296]) ).
cnf(c_0_359,negated_conjecture,
and(a,and(a15,a14)) = and(a,and(a11,a15)),
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_206,c_0_343]),c_0_257]),c_0_89]),c_0_45]),c_0_104]),c_0_323]),c_0_257]) ).
cnf(c_0_360,negated_conjecture,
~ circuit(or(and(or(and(a,not(b)),and(b,not(a))),not(carryin)),and(carryin,not(or(and(a,not(b)),and(b,not(a)))))),or(and(a,or(b,carryin)),and(not(a),and(b,carryin)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_345]),c_0_346]),c_0_346]),c_0_347]) ).
cnf(c_0_361,negated_conjecture,
and(a,or(X1,a12)) = and(a,or(X1,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_166]),c_0_265]),c_0_45]),c_0_45]) ).
cnf(c_0_362,negated_conjecture,
or(carryin,a12) = or(b,a16),
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_348,c_0_349]),c_0_174]),c_0_350]),c_0_351]),c_0_48]),c_0_296]) ).
cnf(c_0_363,negated_conjecture,
or(a,a13) = a13,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_134]),c_0_48]) ).
cnf(c_0_364,negated_conjecture,
and(a14,and(carryin,not(X1))) = not(or(a15,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_144]),c_0_89]) ).
cnf(c_0_365,negated_conjecture,
or(a15,and(a11,a13)) = or(a,a15),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_352]),c_0_338]),c_0_48]) ).
cnf(c_0_366,negated_conjecture,
and(b,a14) = and(b,a11),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_196]),c_0_45]) ).
cnf(c_0_367,negated_conjecture,
and(a11,and(b,c1)) = and(b,and(carryin,a14)),
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_179,c_0_354]),c_0_340]),c_0_192]),c_0_144]),c_0_104]),c_0_355]),c_0_356]) ).
cnf(c_0_368,negated_conjecture,
or(and(a,c1),and(a,and(a11,a15))) = a,
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_145,c_0_357]),c_0_358]),c_0_313]),c_0_314]),c_0_359]),c_0_48]) ).
cnf(c_0_369,negated_conjecture,
~ circuit(or(and(carryin,not(or(and(a,not(b)),and(b,not(a))))),and(not(carryin),or(and(a,not(b)),and(b,not(a))))),or(and(a,or(b,carryin)),and(and(b,carryin),not(a)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_48]),c_0_45]),c_0_45]) ).
cnf(c_0_370,negated_conjecture,
and(a,or(b,carryin)) = and(a,c1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_357]),c_0_48]) ).
cnf(c_0_371,negated_conjecture,
and(a,and(X1,a13)) = and(X1,a),
inference(spm,[status(thm)],[c_0_326,c_0_363]) ).
cnf(c_0_372,negated_conjecture,
and(b,and(X1,a12)) = and(X1,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_234]),c_0_104]) ).
cnf(c_0_373,negated_conjecture,
and(carryin,and(X1,a16)) = and(X1,carryin),
inference(spm,[status(thm)],[c_0_326,c_0_269]) ).
cnf(c_0_374,negated_conjecture,
and(a14,and(X1,a17)) = and(X1,a14),
inference(spm,[status(thm)],[c_0_326,c_0_217]) ).
cnf(c_0_375,negated_conjecture,
and(carryin,and(b,a11)) = and(b,and(carryin,a14)),
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_364,c_0_208]),c_0_45]),c_0_365]),c_0_340]),c_0_192]),c_0_355]),c_0_104]),c_0_366]),c_0_367]) ).
cnf(c_0_376,negated_conjecture,
or(and(a,c1),and(a11,a15)) = or(a,a15),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_368]),c_0_48]),c_0_325]) ).
cnf(c_0_377,negated_conjecture,
~ circuit(s1,or(and(a,c1),and(b,and(carryin,a14)))),
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(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(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_193]),c_0_371]),c_0_45]),c_0_192]),c_0_372]),c_0_45]),c_0_68]),c_0_45]),c_0_196]),c_0_150]),c_0_271]),c_0_373]),c_0_45]),c_0_243]),c_0_193]),c_0_371]),c_0_45]),c_0_192]),c_0_372]),c_0_45]),c_0_68]),c_0_45]),c_0_196]),c_0_89]),c_0_104]),c_0_374]),c_0_265]),c_0_45]),c_0_305]),c_0_89]),c_0_192]),c_0_372]),c_0_45]),c_0_375]) ).
cnf(c_0_378,negated_conjecture,
or(and(a,c1),and(b,and(carryin,a14))) = c1,
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_261,c_0_376]),c_0_340]),c_0_192]),c_0_355]),c_0_367]),c_0_159]),c_0_48]),c_0_70]) ).
cnf(c_0_379,negated_conjecture,
circuit(s1,c1),
the_output_circuit ).
cnf(c_0_380,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_378]),c_0_379])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV003-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 % Computer : n011.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sun Sep 20 20:47:10 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.33 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 Running first-order theorem proving
% 0.12/0.37 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
% 30.99/5.05 % Version: 3.5.1
% 30.99/5.05 % Preprocessing class: FSMSSMSMSSSNFFN.
% 30.99/5.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.99/5.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 30.99/5.05 % Starting new_bool_3 with 300s (1) cores
% 30.99/5.05 % Starting new_bool_1 with 300s (1) cores
% 30.99/5.05 % Starting sh5l with 300s (1) cores
% 30.99/5.05 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 153049 completed with status 0
% 30.99/5.05 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 30.99/5.05 % Preprocessing class: FSMSSMSMSSSNFFN.
% 30.99/5.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.99/5.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 30.99/5.05 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 30.99/5.05 % No SInE strategy applied
% 30.99/5.05 % Search class: FUUSM-FFMM21-DFFFFFNN
% 30.99/5.05 % partial match(1): FHUSM-FFMM21-DFFFFFNN
% 30.99/5.05 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 30.99/5.05 % Starting SubtermCWHack with 136s (1) cores
% 30.99/5.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 30.99/5.05 % Starting sh3 with 271s (1) cores
% 30.99/5.05 % Starting ho_unfolding_3 with 271s (1) cores
% 30.99/5.05 % Starting new_ho_10_cnf2 with 271s (1) cores
% 30.99/5.05 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 153056 completed with status 0
% 30.99/5.05 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 30.99/5.05 % Preprocessing class: FSMSSMSMSSSNFFN.
% 30.99/5.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.99/5.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 30.99/5.05 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 30.99/5.05 % No SInE strategy applied
% 30.99/5.05 % Search class: FUUSM-FFMM21-DFFFFFNN
% 30.99/5.05 % partial match(1): FHUSM-FFMM21-DFFFFFNN
% 30.99/5.05 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 30.99/5.05 % Starting SubtermCWHack with 136s (1) cores
% 30.99/5.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 30.99/5.05 % Preprocessing time : 0.002 s
% 30.99/5.05 % Presaturation interreduction done
% 30.99/5.05
% 30.99/5.05 % Proof found!
% 30.99/5.05 % SZS status Unsatisfiable
% 30.99/5.05 % SZS output start CNFRefutation
% See solution above
% 30.99/5.06 % Parsed axioms : 47
% 30.99/5.06 % Removed by relevancy pruning/SinE : 0
% 30.99/5.06 % Initial clauses : 47
% 30.99/5.06 % Removed in clause preprocessing : 3
% 30.99/5.06 % Initial clauses in saturation : 44
% 30.99/5.06 % Processed clauses : 12061
% 30.99/5.06 % ...of these trivial : 6398
% 30.99/5.06 % ...subsumed : 2011
% 30.99/5.06 % ...remaining for further processing : 3652
% 30.99/5.06 % Other redundant clauses eliminated : 0
% 30.99/5.06 % Clauses deleted for lack of memory : 0
% 30.99/5.06 % Backward-subsumed : 0
% 30.99/5.06 % Backward-rewritten : 1313
% 30.99/5.06 % Generated clauses : 345418
% 30.99/5.06 % ...of the previous two non-redundant : 213168
% 30.99/5.06 % ...aggressively subsumed : 0
% 30.99/5.06 % Contextual simplify-reflections : 0
% 30.99/5.06 % Paramodulations : 345418
% 30.99/5.06 % Factorizations : 0
% 30.99/5.06 % NegExts : 0
% 30.99/5.06 % Equation resolutions : 0
% 30.99/5.06 % Disequality decompositions : 0
% 30.99/5.06 % Total rewrite steps : 774895
% 30.99/5.06 % ...of those cached : 672588
% 30.99/5.06 % Propositional unsat checks : 0
% 30.99/5.06 % Propositional check models : 0
% 30.99/5.06 % Propositional check unsatisfiable : 0
% 30.99/5.06 % Propositional clauses : 0
% 30.99/5.06 % Propositional clauses after purity: 0
% 30.99/5.06 % Propositional unsat core size : 0
% 30.99/5.06 % Propositional preprocessing time : 0.000
% 30.99/5.06 % Propositional encoding time : 0.000
% 30.99/5.06 % Propositional solver time : 0.000
% 30.99/5.06 % Success case prop preproc time : 0.000
% 30.99/5.06 % Success case prop encoding time : 0.000
% 30.99/5.06 % Success case prop solver time : 0.000
% 30.99/5.06 % Current number of processed clauses : 2295
% 30.99/5.06 % Positive orientable unit clauses : 2280
% 30.99/5.06 % Positive unorientable unit clauses: 5
% 30.99/5.06 % Negative unit clauses : 10
% 30.99/5.06 % Non-unit-clauses : 0
% 30.99/5.06 % Current number of unprocessed clauses: 196909
% 30.99/5.06 % ...number of literals in the above : 196909
% 30.99/5.06 % Current number of archived formulas : 0
% 30.99/5.06 % Current number of archived clauses : 1360
% 30.99/5.06 % Clause-clause subsumption calls (NU) : 0
% 30.99/5.06 % Rec. Clause-clause subsumption calls : 0
% 30.99/5.06 % Non-unit clause-clause subsumptions : 0
% 30.99/5.06 % Unit Clause-clause subsumption calls : 63
% 30.99/5.06 % Rewrite failures with RHS unbound : 0
% 30.99/5.06 % BW rewrite match attempts : 8650
% 30.99/5.06 % BW rewrite match successes : 1567
% 30.99/5.06 % Condensation attempts : 0
% 30.99/5.06 % Condensation successes : 0
% 30.99/5.06 % Termbank termtop insertions : 4522830
% 30.99/5.06 % Search garbage collected termcells : 2
% 30.99/5.06
% 30.99/5.06 % -------------------------------------------------
% 30.99/5.06 % User time : 4.175 s
% 30.99/5.06 % System time : 0.186 s
% 30.99/5.06 % Total time : 4.361 s
% 30.99/5.06 % Maximum resident set size: 3660 pages
% 30.99/5.06
% 30.99/5.06 % -------------------------------------------------
% 30.99/5.06 % User time : 20.868 s
% 30.99/5.06 % System time : 0.945 s
% 30.99/5.06 % Total time : 21.813 s
% 30.99/5.06 % Maximum resident set size: 4864 pages
% 30.99/5.06 % E exiting
%------------------------------------------------------------------------------