%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HWV003-2 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 44.39s 11.87s
% Output : CNFRefutation 44.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 35
% Syntax : Number of clauses : 394 ( 391 unt; 0 nHn; 257 RR)
% Number of literals : 397 ( 396 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 230 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(and_absorption,axiom,
and(X1,or(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_absorption) ).
cnf(or_commutative,axiom,
or(X1,X2) = or(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_commutative) ).
cnf(or_demorgan,axiom,
not(or(X1,X2)) = and(not(X1),not(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_demorgan) ).
cnf(or_absorption,axiom,
or(X1,and(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_absorption) ).
cnf(not_involution,axiom,
not(not(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_involution) ).
cnf(t2,negated_conjecture,
not(and(a,t1)) = t2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
cnf(t5,negated_conjecture,
not(and(t4,cin)) = t5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5) ).
cnf(and_commutative,axiom,
and(X1,X2) = and(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_commutative) ).
cnf(and_associative,axiom,
and(and(X1,X2),X3) = and(X1,and(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_associative) ).
cnf(t4,negated_conjecture,
not(and(t2,t3)) = t4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4) ).
cnf(t6,negated_conjecture,
not(and(t4,t5)) = t6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6) ).
cnf(t1,negated_conjecture,
not(and(a,b)) = t1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
cnf(and_distributive,axiom,
or(X1,and(X2,X3)) = and(or(X1,X2),or(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_distributive) ).
cnf(t3,negated_conjecture,
not(and(b,t1)) = t3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
cnf(or_associative,axiom,
or(or(X1,X2),X3) = or(X1,or(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_associative) ).
cnf(or_complement,axiom,
or(X1,not(X1)) = ll1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_complement) ).
cnf(sum,negated_conjecture,
not(and(t6,t7)) = sum,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum) ).
cnf(and_demorgan,axiom,
not(and(X1,X2)) = or(not(X1),not(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_demorgan) ).
cnf(or_boundedness,axiom,
or(X1,ll1) = ll1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_boundedness) ).
cnf(and_identity,axiom,
and(X1,ll1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_identity) ).
cnf(or_distributive,axiom,
and(X1,or(X2,X3)) = or(and(X1,X2),and(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_distributive) ).
cnf(carry,negated_conjecture,
not(and(t1,t5)) = carry,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',carry) ).
cnf(and_complement,axiom,
and(X1,not(X1)) = ll0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_complement) ).
cnf(t7,negated_conjecture,
not(and(t5,cin)) = t7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7) ).
cnf(or_identity,axiom,
or(X1,ll0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_identity) ).
cnf(and_boundedness,axiom,
and(X1,ll0) = ll0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_boundedness) ).
cnf(and_idempotent,axiom,
and(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_idempotent) ).
cnf(ll1_inverse,axiom,
not(ll1) = ll0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ll1_inverse) ).
cnf(xor_associative,axiom,
xor(X1,xor(X2,X3)) = xor(xor(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_associative) ).
cnf(xor_definition,axiom,
or(and(not(X1),X2),and(X1,not(X2))) = xor(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_definition) ).
cnf(sum_def,negated_conjecture,
xor(xor(a,b),cin) = sum_def,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_def) ).
cnf(ll0_inverse,axiom,
not(ll0) = ll1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ll0_inverse) ).
cnf(or_idempotent,axiom,
or(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_idempotent) ).
cnf(carry_def,negated_conjecture,
or(and(cin,or(a,b)),and(not(cin),and(a,b))) = carry_def,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',carry_def) ).
cnf(prove_circuit,negated_conjecture,
( carry != carry_def
| sum != sum_def ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_circuit) ).
cnf(c_0_35,axiom,
and(X1,or(X1,X2)) = X1,
and_absorption ).
cnf(c_0_36,axiom,
or(X1,X2) = or(X2,X1),
or_commutative ).
cnf(c_0_37,axiom,
not(or(X1,X2)) = and(not(X1),not(X2)),
or_demorgan ).
cnf(c_0_38,axiom,
or(X1,and(X1,X2)) = X1,
or_absorption ).
cnf(c_0_39,axiom,
not(not(X1)) = X1,
not_involution ).
cnf(c_0_40,negated_conjecture,
not(and(a,t1)) = t2,
t2 ).
cnf(c_0_41,negated_conjecture,
not(and(t4,cin)) = t5,
t5 ).
cnf(c_0_42,axiom,
and(X1,X2) = and(X2,X1),
and_commutative ).
cnf(c_0_43,plain,
and(X1,or(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,axiom,
and(and(X1,X2),X3) = and(X1,and(X2,X3)),
and_associative ).
cnf(c_0_45,plain,
and(not(X1),not(and(X1,X2))) = not(X1),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,negated_conjecture,
not(and(t2,t3)) = t4,
t4 ).
cnf(c_0_47,negated_conjecture,
not(t2) = and(a,t1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,negated_conjecture,
not(and(t4,t5)) = t6,
t6 ).
cnf(c_0_49,negated_conjecture,
not(and(cin,t4)) = t5,
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
and(X1,and(X2,X1)) = and(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_44]) ).
cnf(c_0_51,negated_conjecture,
and(a,and(t1,t4)) = and(a,t1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_44]),c_0_47]) ).
cnf(c_0_52,negated_conjecture,
not(and(a,b)) = t1,
t1 ).
cnf(c_0_53,axiom,
or(X1,and(X2,X3)) = and(or(X1,X2),or(X1,X3)),
and_distributive ).
cnf(c_0_54,plain,
or(X1,and(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_38,c_0_42]) ).
cnf(c_0_55,negated_conjecture,
not(and(t5,t4)) = t6,
inference(rw,[status(thm)],[c_0_48,c_0_42]) ).
cnf(c_0_56,negated_conjecture,
not(t5) = and(cin,t4),
inference(spm,[status(thm)],[c_0_39,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
not(and(b,t1)) = t3,
t3 ).
cnf(c_0_58,negated_conjecture,
and(t1,and(t4,and(a,t1))) = and(t1,and(a,t4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_44]),c_0_44]),c_0_42]) ).
cnf(c_0_59,negated_conjecture,
not(t1) = and(a,b),
inference(spm,[status(thm)],[c_0_39,c_0_52]) ).
cnf(c_0_60,plain,
or(X1,and(X2,and(X1,X3))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_35]),c_0_44]) ).
cnf(c_0_61,negated_conjecture,
and(t5,not(cin)) = not(cin),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_49]),c_0_42]) ).
cnf(c_0_62,negated_conjecture,
and(cin,and(t4,t6)) = and(cin,t4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_55]),c_0_56]),c_0_44]),c_0_56]) ).
cnf(c_0_63,axiom,
or(or(X1,X2),X3) = or(X1,or(X2,X3)),
or_associative ).
cnf(c_0_64,axiom,
or(X1,not(X1)) = ll1,
or_complement ).
cnf(c_0_65,negated_conjecture,
not(t4) = and(t2,t3),
inference(spm,[status(thm)],[c_0_39,c_0_46]) ).
cnf(c_0_66,negated_conjecture,
and(t3,not(b)) = not(b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_57]),c_0_42]) ).
cnf(c_0_67,negated_conjecture,
and(a,and(b,not(and(t1,and(a,t4))))) = and(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_58]),c_0_59]),c_0_44]),c_0_59]) ).
cnf(c_0_68,plain,
and(X1,and(X2,X3)) = and(X3,and(X1,X2)),
inference(spm,[status(thm)],[c_0_42,c_0_44]) ).
cnf(c_0_69,negated_conjecture,
or(t5,and(X1,not(cin))) = t5,
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,negated_conjecture,
not(and(t6,t7)) = sum,
sum ).
cnf(c_0_71,negated_conjecture,
not(t6) = and(t5,t4),
inference(spm,[status(thm)],[c_0_39,c_0_55]) ).
cnf(c_0_72,negated_conjecture,
and(t4,and(t6,and(cin,t4))) = and(t4,and(cin,t6)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_62]),c_0_44]),c_0_44]),c_0_42]) ).
cnf(c_0_73,axiom,
not(and(X1,X2)) = or(not(X1),not(X2)),
and_demorgan ).
cnf(c_0_74,plain,
or(X1,or(X2,or(X1,and(X2,X3)))) = or(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_53]),c_0_63]) ).
cnf(c_0_75,negated_conjecture,
or(t4,and(t2,t3)) = ll1,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_76,axiom,
or(X1,ll1) = ll1,
or_boundedness ).
cnf(c_0_77,axiom,
and(X1,ll1) = X1,
and_identity ).
cnf(c_0_78,negated_conjecture,
or(t3,and(X1,not(b))) = t3,
inference(spm,[status(thm)],[c_0_60,c_0_66]) ).
cnf(c_0_79,negated_conjecture,
and(a,and(b,t2)) = and(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_42]),c_0_51]),c_0_40]) ).
cnf(c_0_80,axiom,
and(X1,or(X2,X3)) = or(and(X1,X2),and(X1,X3)),
or_distributive ).
cnf(c_0_81,negated_conjecture,
or(t2,and(a,t1)) = ll1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_40]),c_0_36]) ).
cnf(c_0_82,plain,
or(X1,or(X2,and(not(X1),not(X2)))) = ll1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_37]),c_0_63]) ).
cnf(c_0_83,negated_conjecture,
or(t5,and(not(cin),X1)) = t5,
inference(spm,[status(thm)],[c_0_69,c_0_42]) ).
cnf(c_0_84,negated_conjecture,
and(t5,and(t4,sum)) = and(t5,t4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_70]),c_0_71]),c_0_44]),c_0_71]) ).
cnf(c_0_85,plain,
or(X1,and(X2,and(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_54,c_0_44]) ).
cnf(c_0_86,negated_conjecture,
and(t2,and(t3,not(and(t4,and(cin,t6))))) = and(t2,t3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_72]),c_0_65]),c_0_44]),c_0_65]) ).
cnf(c_0_87,plain,
or(not(X1),X2) = not(and(X1,not(X2))),
inference(spm,[status(thm)],[c_0_73,c_0_39]) ).
cnf(c_0_88,negated_conjecture,
or(t6,and(t5,t4)) = ll1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_55]),c_0_36]) ).
cnf(c_0_89,negated_conjecture,
or(t4,t2) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_76]) ).
cnf(c_0_90,plain,
and(ll1,X1) = X1,
inference(spm,[status(thm)],[c_0_77,c_0_42]) ).
cnf(c_0_91,negated_conjecture,
not(t3) = and(b,t1),
inference(spm,[status(thm)],[c_0_39,c_0_57]) ).
cnf(c_0_92,negated_conjecture,
or(t3,and(not(b),X1)) = t3,
inference(spm,[status(thm)],[c_0_78,c_0_42]) ).
cnf(c_0_93,negated_conjecture,
or(and(a,b),and(b,t2)) = and(b,t2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_79]),c_0_36]) ).
cnf(c_0_94,plain,
or(and(X1,X2),and(X2,X3)) = and(X2,or(X1,X3)),
inference(spm,[status(thm)],[c_0_80,c_0_42]) ).
cnf(c_0_95,negated_conjecture,
or(a,t2) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_81]),c_0_76]),c_0_76]),c_0_36]) ).
cnf(c_0_96,negated_conjecture,
not(and(t1,t5)) = carry,
carry ).
cnf(c_0_97,negated_conjecture,
or(cin,t5) = ll1,
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_98,axiom,
and(X1,not(X1)) = ll0,
and_complement ).
cnf(c_0_99,negated_conjecture,
not(sum) = and(t6,t7),
inference(spm,[status(thm)],[c_0_39,c_0_70]) ).
cnf(c_0_100,negated_conjecture,
not(and(t5,cin)) = t7,
t7 ).
cnf(c_0_101,negated_conjecture,
and(t4,and(sum,and(t5,t4))) = and(t4,and(t5,sum)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_84]),c_0_44]),c_0_44]),c_0_42]) ).
cnf(c_0_102,negated_conjecture,
not(and(t4,and(cin,t6))) = t5,
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_85,c_0_86]),c_0_87]),c_0_46]),c_0_44]),c_0_44]),c_0_42]),c_0_62]),c_0_50]),c_0_42]),c_0_49]) ).
cnf(c_0_103,plain,
and(or(X1,X2),or(X2,X3)) = or(X2,and(X1,X3)),
inference(spm,[status(thm)],[c_0_53,c_0_36]) ).
cnf(c_0_104,negated_conjecture,
or(t5,t6) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_88]),c_0_76]),c_0_76]),c_0_36]) ).
cnf(c_0_105,negated_conjecture,
or(t4,and(t2,X1)) = or(t4,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_89]),c_0_90]) ).
cnf(c_0_106,negated_conjecture,
or(t3,and(b,t1)) = ll1,
inference(spm,[status(thm)],[c_0_64,c_0_91]) ).
cnf(c_0_107,plain,
and(or(X1,X2),or(X3,X1)) = or(X1,and(X2,X3)),
inference(spm,[status(thm)],[c_0_53,c_0_36]) ).
cnf(c_0_108,negated_conjecture,
or(b,t3) = ll1,
inference(spm,[status(thm)],[c_0_82,c_0_92]) ).
cnf(c_0_109,axiom,
or(X1,ll0) = X1,
or_identity ).
cnf(c_0_110,negated_conjecture,
and(b,t2) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_77]) ).
cnf(c_0_111,negated_conjecture,
and(t1,not(and(b,t2))) = not(and(b,t2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_93]),c_0_52]) ).
cnf(c_0_112,negated_conjecture,
or(t1,and(a,b)) = ll1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_52]),c_0_36]) ).
cnf(c_0_113,plain,
or(ll1,X1) = ll1,
inference(spm,[status(thm)],[c_0_76,c_0_36]) ).
cnf(c_0_114,negated_conjecture,
and(a,and(b,carry)) = and(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_96]),c_0_59]),c_0_44]),c_0_59]) ).
cnf(c_0_115,negated_conjecture,
or(cin,and(t5,X1)) = or(cin,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_97]),c_0_90]) ).
cnf(c_0_116,negated_conjecture,
and(t5,and(t4,t6)) = ll0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_55]),c_0_44]) ).
cnf(c_0_117,negated_conjecture,
or(sum,and(t6,t7)) = ll1,
inference(spm,[status(thm)],[c_0_64,c_0_99]) ).
cnf(c_0_118,negated_conjecture,
not(and(cin,t5)) = t7,
inference(rw,[status(thm)],[c_0_100,c_0_42]) ).
cnf(c_0_119,negated_conjecture,
and(t2,and(t3,not(and(t4,and(t5,sum))))) = and(t2,t3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_101]),c_0_65]),c_0_44]),c_0_65]) ).
cnf(c_0_120,negated_conjecture,
and(t4,and(cin,t6)) = and(cin,t4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_102]),c_0_56]) ).
cnf(c_0_121,negated_conjecture,
or(t6,and(t5,X1)) = or(t6,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_90]) ).
cnf(c_0_122,negated_conjecture,
or(t4,t3) = ll1,
inference(rw,[status(thm)],[c_0_75,c_0_105]) ).
cnf(c_0_123,negated_conjecture,
and(t4,and(t2,t3)) = ll0,
inference(spm,[status(thm)],[c_0_98,c_0_65]) ).
cnf(c_0_124,negated_conjecture,
or(t3,and(b,and(t1,X1))) = or(t3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_106]),c_0_90]),c_0_44]) ).
cnf(c_0_125,axiom,
and(X1,ll0) = ll0,
and_boundedness ).
cnf(c_0_126,negated_conjecture,
or(t3,and(X1,b)) = or(t3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_77]) ).
cnf(c_0_127,plain,
or(ll0,X1) = X1,
inference(spm,[status(thm)],[c_0_109,c_0_36]) ).
cnf(c_0_128,negated_conjecture,
or(b,t2) = t2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_110]),c_0_36]) ).
cnf(c_0_129,negated_conjecture,
and(t1,not(b)) = not(b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_110]),c_0_110]) ).
cnf(c_0_130,negated_conjecture,
or(t1,or(and(a,b),X1)) = ll1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_112]),c_0_113]) ).
cnf(c_0_131,negated_conjecture,
or(and(a,b),and(b,carry)) = and(b,carry),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_114]),c_0_36]) ).
cnf(c_0_132,negated_conjecture,
or(cin,and(t4,t6)) = cin,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_109]) ).
cnf(c_0_133,negated_conjecture,
or(sum,and(t6,and(t7,X1))) = or(sum,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_117]),c_0_44]),c_0_90]) ).
cnf(c_0_134,negated_conjecture,
not(t7) = and(cin,t5),
inference(spm,[status(thm)],[c_0_39,c_0_118]) ).
cnf(c_0_135,negated_conjecture,
not(and(t4,and(t5,sum))) = t6,
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_85,c_0_119]),c_0_87]),c_0_46]),c_0_44]),c_0_44]),c_0_42]),c_0_84]),c_0_50]),c_0_42]),c_0_55]) ).
cnf(c_0_136,negated_conjecture,
and(cin,or(t4,t6)) = and(cin,t6),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_120]),c_0_80]),c_0_36]) ).
cnf(c_0_137,negated_conjecture,
or(t4,t6) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_121]),c_0_36]) ).
cnf(c_0_138,plain,
and(or(X1,X2),and(not(X1),not(X2))) = ll0,
inference(spm,[status(thm)],[c_0_98,c_0_37]) ).
cnf(c_0_139,negated_conjecture,
or(t4,and(t3,X1)) = or(t4,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_122]),c_0_90]) ).
cnf(c_0_140,negated_conjecture,
and(t4,or(X1,and(t2,t3))) = and(t4,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_123]),c_0_109]) ).
cnf(c_0_141,negated_conjecture,
or(a,and(t2,X1)) = or(a,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_95]),c_0_90]) ).
cnf(c_0_142,negated_conjecture,
or(a,t3) = t3,
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_124,c_0_98]),c_0_125]),c_0_109]),c_0_59]),c_0_126]),c_0_36]) ).
cnf(c_0_143,plain,
and(X1,not(and(X1,not(X2)))) = and(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_98]),c_0_87]),c_0_127]) ).
cnf(c_0_144,negated_conjecture,
and(a,not(b)) = and(a,t1),
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_37,c_0_128]),c_0_47]),c_0_47]),c_0_42]),c_0_44]),c_0_129]) ).
cnf(c_0_145,negated_conjecture,
or(t1,and(b,carry)) = ll1,
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_146,negated_conjecture,
or(t5,and(X1,t6)) = or(t5,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_104]),c_0_77]) ).
cnf(c_0_147,negated_conjecture,
and(t4,t6) = and(cin,t4),
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_43,c_0_132]),c_0_44]),c_0_42]),c_0_68]),c_0_42]),c_0_62]) ).
cnf(c_0_148,negated_conjecture,
or(t5,and(cin,t4)) = ll1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_49]),c_0_36]) ).
cnf(c_0_149,negated_conjecture,
or(sum,and(cin,t5)) = sum,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_98]),c_0_125]),c_0_109]),c_0_134]) ).
cnf(c_0_150,negated_conjecture,
and(t4,and(t5,sum)) = and(t5,t4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_135]),c_0_71]) ).
cnf(c_0_151,negated_conjecture,
and(cin,t6) = cin,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137]),c_0_77]) ).
cnf(c_0_152,negated_conjecture,
or(a,t1) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_112]),c_0_76]),c_0_76]),c_0_36]) ).
cnf(c_0_153,plain,
and(not(X1),and(not(X2),or(X1,X2))) = ll0,
inference(rw,[status(thm)],[c_0_138,c_0_68]) ).
cnf(c_0_154,negated_conjecture,
or(t4,and(b,t1)) = t4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_98]),c_0_109]),c_0_91]) ).
cnf(c_0_155,negated_conjecture,
and(t4,t3) = and(a,t4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_42]) ).
cnf(c_0_156,negated_conjecture,
and(a,t3) = a,
inference(spm,[status(thm)],[c_0_35,c_0_142]) ).
cnf(c_0_157,negated_conjecture,
and(a,t2) = and(a,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_40]) ).
cnf(c_0_158,plain,
and(X1,and(X2,X3)) = and(X2,and(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_42]),c_0_44]) ).
cnf(c_0_159,negated_conjecture,
or(b,t1) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_145]),c_0_76]),c_0_76]),c_0_36]) ).
cnf(c_0_160,negated_conjecture,
not(carry) = and(t1,t5),
inference(spm,[status(thm)],[c_0_39,c_0_96]) ).
cnf(c_0_161,negated_conjecture,
or(t6,sum) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_117]),c_0_76]),c_0_76]),c_0_36]) ).
cnf(c_0_162,negated_conjecture,
or(t5,t4) = ll1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).
cnf(c_0_163,negated_conjecture,
and(cin,and(t5,sum)) = and(cin,t5),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_149]),c_0_44]) ).
cnf(c_0_164,plain,
or(and(X1,X2),and(X3,X1)) = and(X1,or(X2,X3)),
inference(spm,[status(thm)],[c_0_80,c_0_42]) ).
cnf(c_0_165,negated_conjecture,
and(t5,or(t4,sum)) = and(t5,sum),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_150]),c_0_80]),c_0_36]) ).
cnf(c_0_166,negated_conjecture,
or(cin,t6) = t6,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_151]),c_0_36]) ).
cnf(c_0_167,axiom,
and(X1,X1) = X1,
and_idempotent ).
cnf(c_0_168,negated_conjecture,
and(t7,not(cin)) = not(cin),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_118]),c_0_42]) ).
cnf(c_0_169,negated_conjecture,
or(t1,and(a,X1)) = or(t1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_152]),c_0_90]) ).
cnf(c_0_170,negated_conjecture,
and(a,and(b,t4)) = ll0,
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_153,c_0_154]),c_0_65]),c_0_57]),c_0_42]),c_0_155]),c_0_44]),c_0_68]),c_0_42]),c_0_156]),c_0_42]),c_0_68]),c_0_42]),c_0_157]),c_0_68]),c_0_42]),c_0_158]) ).
cnf(c_0_171,negated_conjecture,
or(t1,and(b,X1)) = or(t1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_159]),c_0_90]) ).
cnf(c_0_172,negated_conjecture,
or(b,and(X1,t3)) = or(b,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_108]),c_0_77]) ).
cnf(c_0_173,negated_conjecture,
or(and(a,t1),and(t1,t4)) = and(t1,t4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_51]),c_0_36]) ).
cnf(c_0_174,negated_conjecture,
and(carry,and(t1,t5)) = ll0,
inference(spm,[status(thm)],[c_0_98,c_0_160]) ).
cnf(c_0_175,plain,
and(ll0,X1) = ll0,
inference(spm,[status(thm)],[c_0_125,c_0_42]) ).
cnf(c_0_176,negated_conjecture,
or(sum,and(X1,t6)) = or(sum,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_161]),c_0_77]) ).
cnf(c_0_177,negated_conjecture,
or(t4,and(t5,X1)) = or(t4,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_162]),c_0_90]) ).
cnf(c_0_178,negated_conjecture,
and(t5,or(cin,sum)) = and(t5,sum),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_163]),c_0_164]),c_0_36]) ).
cnf(c_0_179,plain,
or(X1,or(X2,X3)) = or(X2,or(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_36]),c_0_63]) ).
cnf(c_0_180,negated_conjecture,
or(cin,or(t4,sum)) = or(cin,sum),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_165]),c_0_115]) ).
cnf(c_0_181,negated_conjecture,
and(t5,and(t4,not(cin))) = and(t5,t4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_166]),c_0_71]),c_0_71]),c_0_42]),c_0_44]) ).
cnf(c_0_182,plain,
and(X1,and(X1,X2)) = and(X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_167]) ).
cnf(c_0_183,negated_conjecture,
or(t7,and(X1,not(cin))) = t7,
inference(spm,[status(thm)],[c_0_60,c_0_168]) ).
cnf(c_0_184,negated_conjecture,
or(t1,t4) = t1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_109]),c_0_171]) ).
cnf(c_0_185,negated_conjecture,
or(a,and(X1,t2)) = or(a,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_95]),c_0_77]) ).
cnf(c_0_186,negated_conjecture,
and(t4,t2) = and(b,t4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_172]),c_0_128]),c_0_42]) ).
cnf(c_0_187,negated_conjecture,
or(b,and(t1,X1)) = or(b,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_159]),c_0_90]) ).
cnf(c_0_188,negated_conjecture,
and(t1,or(a,t4)) = and(t1,t4),
inference(rw,[status(thm)],[c_0_173,c_0_94]) ).
cnf(c_0_189,negated_conjecture,
and(carry,and(t1,and(t5,X1))) = ll0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_174]),c_0_175]),c_0_44]) ).
cnf(c_0_190,negated_conjecture,
or(sum,and(cin,t4)) = or(t4,sum),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_147]),c_0_36]) ).
cnf(c_0_191,negated_conjecture,
or(t4,sum) = or(cin,sum),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_177]),c_0_179]),c_0_180]) ).
cnf(c_0_192,axiom,
not(ll1) = ll0,
ll1_inverse ).
cnf(c_0_193,negated_conjecture,
and(t4,not(cin)) = and(t5,t4),
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_54,c_0_181]),c_0_164]),c_0_87]),c_0_56]),c_0_182]),c_0_49]),c_0_42]) ).
cnf(c_0_194,negated_conjecture,
or(t7,and(not(cin),X1)) = t7,
inference(spm,[status(thm)],[c_0_183,c_0_42]) ).
cnf(c_0_195,axiom,
xor(X1,xor(X2,X3)) = xor(xor(X1,X2),X3),
xor_associative ).
cnf(c_0_196,axiom,
or(and(not(X1),X2),and(X1,not(X2))) = xor(X1,X2),
xor_definition ).
cnf(c_0_197,plain,
not(and(not(X1),not(X2))) = or(X1,X2),
inference(spm,[status(thm)],[c_0_39,c_0_37]) ).
cnf(c_0_198,negated_conjecture,
and(t1,t4) = t4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_184]),c_0_42]) ).
cnf(c_0_199,negated_conjecture,
or(a,and(b,t4)) = or(a,t4),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_200,negated_conjecture,
or(a,or(b,t4)) = or(b,t4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_187]),c_0_179]) ).
cnf(c_0_201,negated_conjecture,
or(t4,and(X1,t2)) = or(t4,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_89]),c_0_77]) ).
cnf(c_0_202,negated_conjecture,
and(t1,and(t5,carry)) = ll0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_96]),c_0_44]) ).
cnf(c_0_203,negated_conjecture,
and(carry,and(t1,not(cin))) = ll0,
inference(spm,[status(thm)],[c_0_189,c_0_61]) ).
cnf(c_0_204,negated_conjecture,
or(sum,and(cin,t4)) = or(cin,sum),
inference(rw,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_205,negated_conjecture,
and(t5,and(t4,and(t6,t7))) = ll0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_161]),c_0_192]),c_0_71]),c_0_99]),c_0_44]) ).
cnf(c_0_206,negated_conjecture,
or(t7,and(t5,t4)) = t7,
inference(spm,[status(thm)],[c_0_183,c_0_193]) ).
cnf(c_0_207,negated_conjecture,
or(cin,t7) = ll1,
inference(spm,[status(thm)],[c_0_82,c_0_194]) ).
cnf(c_0_208,negated_conjecture,
xor(xor(a,b),cin) = sum_def,
sum_def ).
cnf(c_0_209,plain,
or(and(not(X1),or(and(not(X2),X3),and(X2,not(X3)))),and(X1,not(or(and(not(X2),X3),and(X2,not(X3)))))) = or(and(not(or(and(not(X1),X2),and(X1,not(X2)))),X3),and(or(and(not(X1),X2),and(X1,not(X2))),not(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_196]),c_0_196]),c_0_196]),c_0_196]) ).
cnf(c_0_210,plain,
or(X1,not(X2)) = not(and(not(X1),X2)),
inference(spm,[status(thm)],[c_0_197,c_0_39]) ).
cnf(c_0_211,negated_conjecture,
and(b,t4) = and(b,t1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_154]),c_0_44]),c_0_198]) ).
cnf(c_0_212,negated_conjecture,
or(a,and(X1,t1)) = or(a,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_152]),c_0_77]) ).
cnf(c_0_213,negated_conjecture,
or(b,t4) = or(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_199]),c_0_179]),c_0_200]),c_0_200]) ).
cnf(c_0_214,negated_conjecture,
or(t4,and(a,b)) = or(a,t4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_157]),c_0_36]) ).
cnf(c_0_215,negated_conjecture,
or(b,and(t5,carry)) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_202]),c_0_109]) ).
cnf(c_0_216,negated_conjecture,
and(t1,and(carry,not(cin))) = ll0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_203]),c_0_125]),c_0_44]),c_0_42]) ).
cnf(c_0_217,negated_conjecture,
or(sum,and(t6,X1)) = or(sum,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_161]),c_0_90]) ).
cnf(c_0_218,negated_conjecture,
and(t6,not(cin)) = and(t5,and(t6,t7)),
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_37,c_0_204]),c_0_37]),c_0_99]),c_0_99]),c_0_49]),c_0_44]),c_0_42]),c_0_158]),c_0_42]),c_0_44]),c_0_168]) ).
cnf(c_0_219,negated_conjecture,
or(sum,and(X1,and(t6,t7))) = or(sum,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_117]),c_0_77]) ).
cnf(c_0_220,negated_conjecture,
or(cin,and(t4,and(t6,t7))) = cin,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_205]),c_0_109]) ).
cnf(c_0_221,negated_conjecture,
or(carry,and(t1,t5)) = ll1,
inference(spm,[status(thm)],[c_0_64,c_0_160]) ).
cnf(c_0_222,negated_conjecture,
and(t5,and(t4,t7)) = and(t5,t4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_206]),c_0_44]) ).
cnf(c_0_223,negated_conjecture,
or(t7,and(cin,t5)) = ll1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_118]),c_0_36]) ).
cnf(c_0_224,negated_conjecture,
or(t7,and(cin,X1)) = or(t7,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_207]),c_0_90]) ).
cnf(c_0_225,negated_conjecture,
or(and(not(or(and(not(a),b),and(a,not(b)))),cin),and(or(and(not(a),b),and(a,not(b))),not(cin))) = sum_def,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_196]),c_0_196]) ).
cnf(c_0_226,plain,
or(and(X1,and(not(and(X2,not(X3))),not(and(not(X2),X3)))),and(not(X1),or(and(X2,not(X3)),and(not(X2),X3)))) = or(and(not(and(X1,not(X2))),and(not(and(not(X1),X2)),X3)),and(or(and(X1,not(X2)),and(not(X1),X2)),not(X3))),
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)],[c_0_209,c_0_36]),c_0_36]),c_0_37]),c_0_36]),c_0_36]),c_0_37]),c_0_44]),c_0_36]) ).
cnf(c_0_227,axiom,
not(ll0) = ll1,
ll0_inverse ).
cnf(c_0_228,negated_conjecture,
and(t1,not(a)) = not(a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_52]),c_0_42]) ).
cnf(c_0_229,plain,
and(X1,and(X2,not(and(X1,X2)))) = ll0,
inference(spm,[status(thm)],[c_0_98,c_0_44]) ).
cnf(c_0_230,plain,
and(X1,not(and(not(X2),X1))) = and(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_98]),c_0_109]),c_0_210]) ).
cnf(c_0_231,negated_conjecture,
or(a,t4) = or(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_211]),c_0_212]) ).
cnf(c_0_232,negated_conjecture,
and(not(a),not(b)) = and(t2,not(b)),
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_37,c_0_213]),c_0_37]),c_0_65]),c_0_42]),c_0_44]),c_0_66]) ).
cnf(c_0_233,negated_conjecture,
and(t2,and(t3,not(a))) = and(t1,and(t2,t3)),
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_37,c_0_214]),c_0_37]),c_0_65]),c_0_65]),c_0_52]),c_0_44]),c_0_42]),c_0_158]),c_0_42]),c_0_44]) ).
cnf(c_0_234,negated_conjecture,
and(not(b),not(and(t5,carry))) = not(b),
inference(spm,[status(thm)],[c_0_37,c_0_215]) ).
cnf(c_0_235,negated_conjecture,
or(b,and(carry,not(cin))) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_216]),c_0_109]) ).
cnf(c_0_236,negated_conjecture,
not(and(cin,and(t6,t7))) = or(t5,sum),
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_217,c_0_218]),c_0_219]),c_0_36]),c_0_210]),c_0_99]),c_0_44]),c_0_42]),c_0_158]) ).
cnf(c_0_237,negated_conjecture,
and(cin,and(t4,and(t6,t7))) = and(t4,and(t6,t7)),
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_43,c_0_220]),c_0_44]),c_0_44]),c_0_42]),c_0_158]),c_0_158]) ).
cnf(c_0_238,negated_conjecture,
or(carry,and(t1,and(t5,X1))) = or(carry,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_221]),c_0_44]),c_0_90]) ).
cnf(c_0_239,negated_conjecture,
and(t4,or(t5,t7)) = and(t4,t7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_222]),c_0_164]),c_0_36]) ).
cnf(c_0_240,negated_conjecture,
or(t5,t7) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_224]),c_0_36]) ).
cnf(c_0_241,negated_conjecture,
or(and(not(cin),or(and(a,not(b)),and(b,not(a)))),and(not(and(a,not(b))),and(cin,not(and(b,not(a)))))) = sum_def,
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)],[c_0_225,c_0_36]),c_0_36]),c_0_36]),c_0_37]),c_0_42]),c_0_42]),c_0_42]),c_0_44]),c_0_42]) ).
cnf(c_0_242,plain,
and(not(and(X1,not(X2))),not(and(not(X1),X2))) = or(and(X1,X2),and(not(X1),not(X2))),
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_226,c_0_192]),c_0_125]),c_0_227]),c_0_77]),c_0_39]),c_0_90]),c_0_125]),c_0_77]),c_0_127]),c_0_77]),c_0_125]),c_0_109]) ).
cnf(c_0_243,negated_conjecture,
and(b,not(a)) = and(b,t1),
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_37,c_0_142]),c_0_91]),c_0_91]),c_0_42]),c_0_44]),c_0_228]) ).
cnf(c_0_244,plain,
and(not(X1),and(X2,X1)) = ll0,
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_245,negated_conjecture,
and(t2,not(b)) = and(t1,and(t2,t3)),
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_37,c_0_231]),c_0_37]),c_0_232]),c_0_65]),c_0_42]),c_0_44]),c_0_233]) ).
cnf(c_0_246,negated_conjecture,
not(and(t2,not(b))) = or(a,b),
inference(spm,[status(thm)],[c_0_197,c_0_232]) ).
cnf(c_0_247,negated_conjecture,
and(t1,or(a,t4)) = t4,
inference(rw,[status(thm)],[c_0_188,c_0_198]) ).
cnf(c_0_248,negated_conjecture,
and(t5,and(carry,not(b))) = ll0,
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_143,c_0_234]),c_0_39]),c_0_42]),c_0_98]),c_0_42]),c_0_44]) ).
cnf(c_0_249,negated_conjecture,
and(a,t4) = and(a,t1),
inference(rw,[status(thm)],[c_0_51,c_0_198]) ).
cnf(c_0_250,negated_conjecture,
or(t2,and(b,X1)) = t2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_128]),c_0_35]) ).
cnf(c_0_251,negated_conjecture,
and(b,and(carry,not(cin))) = and(carry,not(cin)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_235]),c_0_44]),c_0_42]),c_0_158]) ).
cnf(c_0_252,negated_conjecture,
and(t4,and(t6,t7)) = and(cin,and(t6,t7)),
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_39,c_0_236]),c_0_37]),c_0_56]),c_0_99]),c_0_44]),c_0_237]) ).
cnf(c_0_253,negated_conjecture,
or(carry,and(cin,t4)) = carry,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_98]),c_0_125]),c_0_109]),c_0_56]) ).
cnf(c_0_254,negated_conjecture,
and(t4,t7) = t4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_240]),c_0_77]) ).
cnf(c_0_255,plain,
or(X1,or(X2,X1)) = or(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_35]),c_0_63]) ).
cnf(c_0_256,negated_conjecture,
or(and(cin,and(not(and(a,not(b))),not(and(b,not(a))))),and(not(cin),or(and(a,not(b)),and(b,not(a))))) = sum_def,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_68]),c_0_42]),c_0_36]) ).
cnf(c_0_257,negated_conjecture,
or(and(t3,or(and(X1,X2),and(not(X1),not(X2)))),and(b,and(t1,or(and(X1,not(X2)),and(not(X1),X2))))) = or(and(not(and(b,and(t1,X1))),and(not(and(t3,not(X1))),X2)),and(or(and(b,and(t1,X1)),and(t3,not(X1))),not(X2))),
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_226,c_0_91]),c_0_44]),c_0_44]),c_0_44]),c_0_36]),c_0_242]),c_0_36]),c_0_158]),c_0_36]) ).
cnf(c_0_258,negated_conjecture,
and(b,t3) = and(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_243]),c_0_57]),c_0_42]) ).
cnf(c_0_259,plain,
and(X1,and(X2,not(X1))) = ll0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_45]),c_0_39]),c_0_44]) ).
cnf(c_0_260,negated_conjecture,
and(a,and(b,t1)) = ll0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_52]),c_0_44]) ).
cnf(c_0_261,negated_conjecture,
and(b,and(t1,t3)) = ll0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_57]),c_0_44]) ).
cnf(c_0_262,axiom,
or(X1,X1) = X1,
or_idempotent ).
cnf(c_0_263,negated_conjecture,
or(t3,and(a,t1)) = t3,
inference(spm,[status(thm)],[c_0_78,c_0_144]) ).
cnf(c_0_264,negated_conjecture,
and(not(a),not(b)) = and(t1,and(t2,t3)),
inference(rw,[status(thm)],[c_0_232,c_0_245]) ).
cnf(c_0_265,negated_conjecture,
not(and(t1,and(t2,t3))) = or(a,b),
inference(rw,[status(thm)],[c_0_246,c_0_245]) ).
cnf(c_0_266,negated_conjecture,
and(t1,or(a,b)) = t4,
inference(rw,[status(thm)],[c_0_247,c_0_231]) ).
cnf(c_0_267,negated_conjecture,
or(t4,and(carry,not(b))) = t4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_248]),c_0_109]) ).
cnf(c_0_268,negated_conjecture,
or(t1,carry) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_221]),c_0_76]),c_0_76]),c_0_36]) ).
cnf(c_0_269,negated_conjecture,
and(t2,and(t5,t3)) = and(t2,t3),
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_45,c_0_120]),c_0_65]),c_0_49]),c_0_44]),c_0_65]),c_0_42]) ).
cnf(c_0_270,negated_conjecture,
or(and(t4,or(and(X1,not(X2)),and(not(X1),X2))),and(t2,and(t3,or(and(X1,X2),and(not(X1),not(X2)))))) = or(and(not(and(t4,X1)),and(not(and(t2,and(t3,not(X1)))),X2)),and(or(and(t4,X1),and(t2,and(t3,not(X1)))),not(X2))),
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_226,c_0_46]),c_0_44]),c_0_44]),c_0_44]),c_0_242]),c_0_36]),c_0_158]),c_0_36]) ).
cnf(c_0_271,negated_conjecture,
and(cin,and(t5,t4)) = ll0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_49]),c_0_44]),c_0_42]) ).
cnf(c_0_272,negated_conjecture,
and(a,and(t1,and(t5,t2))) = ll0,
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_37,c_0_137]),c_0_192]),c_0_65]),c_0_71]),c_0_44]),c_0_68]),c_0_42]),c_0_158]),c_0_155]),c_0_249]),c_0_68]),c_0_42]),c_0_158]),c_0_158]),c_0_68]),c_0_42]),c_0_158]) ).
cnf(c_0_273,negated_conjecture,
or(t3,and(carry,not(cin))) = t3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_216]),c_0_125]),c_0_109]) ).
cnf(c_0_274,negated_conjecture,
or(t2,and(carry,not(cin))) = t2,
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_275,negated_conjecture,
or(t4,and(cin,and(t6,t7))) = t4,
inference(spm,[status(thm)],[c_0_38,c_0_252]) ).
cnf(c_0_276,negated_conjecture,
and(cin,and(t6,X1)) = and(cin,X1),
inference(spm,[status(thm)],[c_0_44,c_0_151]) ).
cnf(c_0_277,negated_conjecture,
and(cin,and(t4,carry)) = and(cin,t4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_253]),c_0_44]) ).
cnf(c_0_278,negated_conjecture,
or(t4,t7) = t7,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_254]),c_0_36]) ).
cnf(c_0_279,negated_conjecture,
or(sum_def,and(not(cin),or(and(a,not(b)),and(b,not(a))))) = sum_def,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_36]),c_0_256]),c_0_36]) ).
cnf(c_0_280,negated_conjecture,
not(b) = and(t1,t3),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_66]),c_0_91]),c_0_39]),c_0_44]),c_0_50]),c_0_87]),c_0_57]),c_0_258]),c_0_52]),c_0_42]),c_0_39]),c_0_42]),c_0_258]),c_0_91]),c_0_44]),c_0_259]),c_0_109]),c_0_68]),c_0_260]),c_0_125]),c_0_109]),c_0_261]),c_0_227]),c_0_91]),c_0_68]),c_0_261]),c_0_227]),c_0_90]),c_0_90]),c_0_261]),c_0_91]),c_0_68]),c_0_261]),c_0_262]),c_0_39]),c_0_175]),c_0_109]) ).
cnf(c_0_281,negated_conjecture,
and(a,and(t1,t3)) = and(a,t1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_263]),c_0_44]) ).
cnf(c_0_282,negated_conjecture,
or(and(a,t1),and(b,t1)) = t4,
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_242,c_0_264]),c_0_39]),c_0_52]),c_0_265]),c_0_266]),c_0_144]),c_0_39]),c_0_42]),c_0_243]) ).
cnf(c_0_283,negated_conjecture,
and(t4,and(carry,not(b))) = and(carry,not(b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_267]),c_0_44]),c_0_42]),c_0_158]) ).
cnf(c_0_284,negated_conjecture,
or(carry,and(t1,X1)) = or(carry,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_268]),c_0_90]) ).
cnf(c_0_285,plain,
or(X1,or(X2,X3)) = or(X3,or(X1,X2)),
inference(spm,[status(thm)],[c_0_36,c_0_63]) ).
cnf(c_0_286,negated_conjecture,
or(and(t6,or(and(X1,not(X2)),and(not(X1),X2))),and(t5,and(t4,or(and(X1,X2),and(not(X1),not(X2)))))) = or(and(not(and(t6,X1)),and(not(and(t5,and(t4,not(X1)))),X2)),and(or(and(t6,X1),and(t5,and(t4,not(X1)))),not(X2))),
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_226,c_0_55]),c_0_44]),c_0_44]),c_0_44]),c_0_242]),c_0_36]),c_0_158]),c_0_36]) ).
cnf(c_0_287,negated_conjecture,
and(a,and(t1,t2)) = ll0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_40]),c_0_44]) ).
cnf(c_0_288,negated_conjecture,
and(t5,and(t2,t3)) = and(t2,t3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_68]),c_0_42]) ).
cnf(c_0_289,negated_conjecture,
or(t4,and(t6,t7)) = t7,
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(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_270,c_0_218]),c_0_39]),c_0_42]),c_0_151]),c_0_71]),c_0_44]),c_0_193]),c_0_182]),c_0_115]),c_0_43]),c_0_71]),c_0_39]),c_0_44]),c_0_42]),c_0_68]),c_0_42]),c_0_271]),c_0_109]),c_0_158]),c_0_105]),c_0_177]),c_0_139]),c_0_147]),c_0_49]),c_0_71]),c_0_68]),c_0_42]),c_0_158]),c_0_155]),c_0_249]),c_0_68]),c_0_42]),c_0_158]),c_0_158]),c_0_68]),c_0_42]),c_0_158]),c_0_272]),c_0_227]),c_0_90]),c_0_61]),c_0_147]),c_0_71]),c_0_68]),c_0_42]),c_0_158]),c_0_155]),c_0_249]),c_0_68]),c_0_42]),c_0_158]),c_0_158]),c_0_68]),c_0_42]),c_0_158]),c_0_272]),c_0_109]),c_0_39]),c_0_44]),c_0_42]),c_0_182]),c_0_87]),c_0_49]),c_0_118]) ).
cnf(c_0_290,negated_conjecture,
and(t4,and(t2,and(t3,X1))) = ll0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_123]),c_0_175]),c_0_44]) ).
cnf(c_0_291,negated_conjecture,
and(t3,and(carry,not(cin))) = and(carry,not(cin)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_273]),c_0_44]),c_0_42]),c_0_158]) ).
cnf(c_0_292,negated_conjecture,
and(t2,and(carry,not(cin))) = and(carry,not(cin)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_274]),c_0_44]),c_0_42]),c_0_158]) ).
cnf(c_0_293,negated_conjecture,
or(and(t7,or(and(X1,X2),and(not(X1),not(X2)))),and(cin,and(t5,or(and(X1,not(X2)),and(not(X1),X2))))) = or(and(not(and(cin,and(t5,X1))),and(not(and(t7,not(X1))),X2)),and(or(and(cin,and(t5,X1)),and(t7,not(X1))),not(X2))),
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_226,c_0_134]),c_0_44]),c_0_44]),c_0_44]),c_0_36]),c_0_242]),c_0_36]),c_0_158]),c_0_36]) ).
cnf(c_0_294,negated_conjecture,
and(cin,and(t5,t7)) = ll0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_118]),c_0_44]) ).
cnf(c_0_295,negated_conjecture,
or(t4,and(cin,t7)) = t4,
inference(rw,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_296,negated_conjecture,
or(t7,and(t4,carry)) = t7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_277]),c_0_224]),c_0_36]),c_0_278]) ).
cnf(c_0_297,negated_conjecture,
or(sum_def,and(t5,t4)) = sum_def,
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_279,c_0_280]),c_0_281]),c_0_243]),c_0_282]),c_0_42]),c_0_193]) ).
cnf(c_0_298,negated_conjecture,
and(t1,and(t4,and(t3,carry))) = and(t1,and(t3,carry)),
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)],[c_0_283,c_0_280]),c_0_68]),c_0_42]),c_0_158]),c_0_158]),c_0_280]),c_0_68]),c_0_42]),c_0_158]) ).
cnf(c_0_299,negated_conjecture,
or(b,and(t3,X1)) = or(b,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_108]),c_0_90]) ).
cnf(c_0_300,negated_conjecture,
or(a,or(b,carry)) = or(t4,carry),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_266]),c_0_36]),c_0_285]),c_0_36]),c_0_179]) ).
cnf(c_0_301,negated_conjecture,
or(and(t5,or(and(X1,not(X2)),and(not(X1),X2))),and(cin,and(t4,or(and(X1,X2),and(not(X1),not(X2)))))) = or(and(not(and(t5,X1)),and(not(and(cin,and(t4,not(X1)))),X2)),and(or(and(t5,X1),and(cin,and(t4,not(X1)))),not(X2))),
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_226,c_0_49]),c_0_44]),c_0_44]),c_0_44]),c_0_242]),c_0_36]),c_0_158]),c_0_36]) ).
cnf(c_0_302,negated_conjecture,
or(and(cin,t4),and(t2,t3)) = t6,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_123]),c_0_46]),c_0_167]),c_0_65]),c_0_167]),c_0_105]),c_0_122]),c_0_77]),c_0_65]),c_0_46]),c_0_44]),c_0_42]),c_0_155]),c_0_249]),c_0_68]),c_0_287]),c_0_262]),c_0_125]),c_0_125]),c_0_109]),c_0_42]),c_0_147]),c_0_49]),c_0_65]),c_0_123]),c_0_125]),c_0_227]),c_0_90]),c_0_288]),c_0_42]),c_0_147]),c_0_65]),c_0_123]),c_0_125]),c_0_109]),c_0_46]),c_0_44]),c_0_167]),c_0_36]) ).
cnf(c_0_303,negated_conjecture,
or(t5,and(cin,X1)) = or(t5,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_97]),c_0_90]) ).
cnf(c_0_304,negated_conjecture,
and(t2,and(t3,sum)) = and(cin,t5),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_289]),c_0_134]),c_0_65]),c_0_70]),c_0_44]) ).
cnf(c_0_305,negated_conjecture,
or(t4,and(X1,t5)) = or(t4,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_162]),c_0_77]) ).
cnf(c_0_306,negated_conjecture,
or(t5,sum) = not(and(cin,t7)),
inference(rw,[status(thm)],[c_0_236,c_0_276]) ).
cnf(c_0_307,negated_conjecture,
or(and(t5,t4),and(t4,sum)) = and(t4,sum),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_84]),c_0_36]) ).
cnf(c_0_308,negated_conjecture,
or(t6,and(t4,X1)) = or(t6,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_137]),c_0_90]) ).
cnf(c_0_309,negated_conjecture,
and(t4,and(carry,not(cin))) = ll0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]) ).
cnf(c_0_310,negated_conjecture,
and(t7,not(and(cin,t7))) = not(cin),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_168]),c_0_134]),c_0_39]),c_0_44]),c_0_42]),c_0_182]),c_0_87]),c_0_118]),c_0_39]),c_0_42]),c_0_134]),c_0_44]),c_0_61]),c_0_98]),c_0_109]),c_0_68]),c_0_42]),c_0_294]),c_0_125]),c_0_109]),c_0_294]),c_0_227]),c_0_134]),c_0_68]),c_0_294]),c_0_227]),c_0_90]),c_0_90]),c_0_294]),c_0_134]),c_0_68]),c_0_294]),c_0_262]),c_0_39]),c_0_175]),c_0_109]) ).
cnf(c_0_311,negated_conjecture,
and(cin,t7) = and(cin,t4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_295]),c_0_44]),c_0_42]),c_0_254]) ).
cnf(c_0_312,negated_conjecture,
and(t4,and(carry,t7)) = and(t4,carry),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_296]),c_0_44]) ).
cnf(c_0_313,negated_conjecture,
or(and(cin,or(a,b)),and(not(cin),and(a,b))) = carry_def,
carry_def ).
cnf(c_0_314,negated_conjecture,
or(carry,and(t5,X1)) = or(carry,X1),
inference(rw,[status(thm)],[c_0_238,c_0_284]) ).
cnf(c_0_315,negated_conjecture,
and(t5,and(t4,sum_def)) = and(t5,t4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_297]),c_0_44]) ).
cnf(c_0_316,negated_conjecture,
or(b,and(t4,and(t3,carry))) = or(b,carry),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_298]),c_0_187]),c_0_299]) ).
cnf(c_0_317,negated_conjecture,
or(b,or(t4,carry)) = or(t4,carry),
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_255,c_0_300]),c_0_63]),c_0_255]),c_0_36]),c_0_63]),c_0_36]),c_0_179]),c_0_300]) ).
cnf(c_0_318,negated_conjecture,
or(and(t2,or(and(X1,X2),and(not(X1),not(X2)))),and(a,and(t1,or(and(X1,not(X2)),and(not(X1),X2))))) = or(and(not(and(a,and(t1,X1))),and(not(and(t2,not(X1))),X2)),and(or(and(a,and(t1,X1)),and(t2,not(X1))),not(X2))),
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_226,c_0_47]),c_0_44]),c_0_44]),c_0_44]),c_0_36]),c_0_242]),c_0_36]),c_0_158]),c_0_36]) ).
cnf(c_0_319,negated_conjecture,
and(t2,not(a)) = not(a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_42]) ).
cnf(c_0_320,negated_conjecture,
or(and(cin,t4),and(t5,t4)) = t4,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_288]),c_0_46]),c_0_56]),c_0_44]),c_0_123]),c_0_125]),c_0_109]),c_0_182]),c_0_56]),c_0_46]),c_0_44]),c_0_167]),c_0_36]),c_0_302]),c_0_147]),c_0_182]),c_0_167]),c_0_56]),c_0_56]),c_0_50]),c_0_42]),c_0_182]),c_0_49]),c_0_288]),c_0_44]),c_0_123]),c_0_125]),c_0_167]),c_0_56]),c_0_50]),c_0_42]),c_0_182]),c_0_303]),c_0_162]),c_0_46]),c_0_90]),c_0_127]),c_0_36]) ).
cnf(c_0_321,negated_conjecture,
or(cin,sum) = or(cin,t4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_304]),c_0_305]),c_0_36]),c_0_139]),c_0_191]) ).
cnf(c_0_322,negated_conjecture,
and(sum,not(and(cin,t7))) = sum,
inference(spm,[status(thm)],[c_0_43,c_0_306]) ).
cnf(c_0_323,negated_conjecture,
and(t4,or(t5,sum)) = and(t4,sum),
inference(rw,[status(thm)],[c_0_307,c_0_94]) ).
cnf(c_0_324,negated_conjecture,
or(t6,and(carry,not(cin))) = t6,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_109]) ).
cnf(c_0_325,negated_conjecture,
not(cin) = and(t5,t7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_49]),c_0_42]) ).
cnf(c_0_326,negated_conjecture,
or(t6,and(carry,t7)) = or(carry,t6),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_312]),c_0_308]),c_0_36]) ).
cnf(c_0_327,plain,
or(X1,or(X1,X2)) = or(X1,X2),
inference(spm,[status(thm)],[c_0_63,c_0_262]) ).
cnf(c_0_328,negated_conjecture,
or(and(a,and(b,not(cin))),and(cin,or(a,b))) = carry_def,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_42]),c_0_44]),c_0_36]) ).
cnf(c_0_329,negated_conjecture,
or(carry,and(t4,sum_def)) = or(t4,carry),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_314]),c_0_36]) ).
cnf(c_0_330,negated_conjecture,
or(t4,carry) = 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_74,c_0_316]),c_0_179]),c_0_317]),c_0_317]),c_0_213]) ).
cnf(c_0_331,negated_conjecture,
and(a,and(X1,t3)) = and(X1,a),
inference(spm,[status(thm)],[c_0_158,c_0_156]) ).
cnf(c_0_332,negated_conjecture,
not(a) = and(t1,t2),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_47]),c_0_39]),c_0_44]),c_0_50]),c_0_87]),c_0_40]),c_0_157]),c_0_52]),c_0_42]),c_0_39]),c_0_42]),c_0_157]),c_0_47]),c_0_44]),c_0_228]),c_0_98]),c_0_109]),c_0_68]),c_0_260]),c_0_125]),c_0_109]),c_0_287]),c_0_227]),c_0_47]),c_0_68]),c_0_287]),c_0_227]),c_0_90]),c_0_90]),c_0_287]),c_0_47]),c_0_68]),c_0_287]),c_0_262]),c_0_39]),c_0_175]),c_0_109]) ).
cnf(c_0_333,negated_conjecture,
and(b,and(X1,t2)) = and(X1,b),
inference(spm,[status(thm)],[c_0_158,c_0_110]) ).
cnf(c_0_334,negated_conjecture,
and(t2,t3) = and(t5,t6),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_320]),c_0_65]),c_0_49]),c_0_55]) ).
cnf(c_0_335,negated_conjecture,
and(cin,and(X1,t6)) = and(X1,cin),
inference(spm,[status(thm)],[c_0_158,c_0_151]) ).
cnf(c_0_336,negated_conjecture,
and(t5,or(cin,t4)) = and(t5,sum),
inference(rw,[status(thm)],[c_0_178,c_0_321]) ).
cnf(c_0_337,negated_conjecture,
and(t5,sum) = sum,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_311]),c_0_49]),c_0_42]) ).
cnf(c_0_338,negated_conjecture,
and(t4,not(and(cin,t7))) = and(t4,sum),
inference(rw,[status(thm)],[c_0_323,c_0_306]) ).
cnf(c_0_339,negated_conjecture,
or(carry,t6) = t6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_158]),c_0_121]),c_0_326]) ).
cnf(c_0_340,negated_conjecture,
or(carry_def,and(a,and(b,not(cin)))) = carry_def,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_36]) ).
cnf(c_0_341,plain,
and(not(X1),or(X2,X1)) = and(not(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_98]),c_0_109]) ).
cnf(c_0_342,negated_conjecture,
or(carry,and(t4,sum_def)) = or(a,b),
inference(rw,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_343,negated_conjecture,
sum_def = sum,
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_256,c_0_325]),c_0_280]),c_0_331]),c_0_42]),c_0_40]),c_0_332]),c_0_333]),c_0_42]),c_0_57]),c_0_334]),c_0_335]),c_0_42]),c_0_280]),c_0_331]),c_0_42]),c_0_332]),c_0_333]),c_0_42]),c_0_282]),c_0_44]),c_0_42]),c_0_254]),c_0_94]),c_0_336]),c_0_337]) ).
cnf(c_0_344,negated_conjecture,
and(t4,sum) = and(t5,t4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_311]),c_0_49]),c_0_42]) ).
cnf(c_0_345,negated_conjecture,
and(carry,t6) = carry,
inference(spm,[status(thm)],[c_0_35,c_0_339]) ).
cnf(c_0_346,negated_conjecture,
and(not(carry_def),not(and(a,and(b,not(cin))))) = not(carry_def),
inference(spm,[status(thm)],[c_0_37,c_0_340]) ).
cnf(c_0_347,negated_conjecture,
and(t6,or(a,b)) = carry,
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_341,c_0_342]),c_0_343]),c_0_344]),c_0_55]),c_0_343]),c_0_344]),c_0_55]),c_0_42]),c_0_345]) ).
cnf(c_0_348,negated_conjecture,
or(t1,and(a,and(b,X1))) = or(t1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_112]),c_0_90]),c_0_44]) ).
cnf(c_0_349,negated_conjecture,
and(a,and(b,and(not(cin),not(carry_def)))) = ll0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_346]),c_0_44]),c_0_44]) ).
cnf(c_0_350,plain,
or(X1,or(and(X1,X2),X3)) = or(X1,X3),
inference(spm,[status(thm)],[c_0_63,c_0_38]) ).
cnf(c_0_351,negated_conjecture,
or(a,and(t5,t3)) = or(a,t3),
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_141,c_0_86]),c_0_141]),c_0_68]),c_0_42]),c_0_147]),c_0_182]),c_0_49]),c_0_42]) ).
cnf(c_0_352,negated_conjecture,
or(carry_def,and(cin,or(a,b))) = carry_def,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_328]),c_0_36]),c_0_328]),c_0_36]) ).
cnf(c_0_353,negated_conjecture,
and(cin,or(a,b)) = and(cin,carry),
inference(spm,[status(thm)],[c_0_276,c_0_347]) ).
cnf(c_0_354,negated_conjecture,
or(t1,and(not(cin),not(carry_def))) = t1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_109]) ).
cnf(c_0_355,negated_conjecture,
or(a,and(cin,or(a,b))) = or(a,carry_def),
inference(spm,[status(thm)],[c_0_350,c_0_328]) ).
cnf(c_0_356,plain,
and(X1,or(X2,or(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_43,c_0_63]) ).
cnf(c_0_357,negated_conjecture,
or(a,or(t5,t3)) = or(a,t5),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_351]),c_0_179]),c_0_327]) ).
cnf(c_0_358,negated_conjecture,
and(b,and(carry,and(a,b))) = and(b,and(a,carry)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_114]),c_0_44]),c_0_44]),c_0_42]) ).
cnf(c_0_359,negated_conjecture,
or(carry_def,and(cin,carry)) = carry_def,
inference(rw,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_360,negated_conjecture,
and(a,and(b,or(cin,carry_def))) = 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_37,c_0_354]),c_0_59]),c_0_59]),c_0_197]),c_0_44]) ).
cnf(c_0_361,negated_conjecture,
or(a,or(cin,carry_def)) = or(a,cin),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_355]),c_0_179]),c_0_327]) ).
cnf(c_0_362,negated_conjecture,
and(t3,or(a,t5)) = t3,
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_363,negated_conjecture,
or(and(a,b),and(b,and(a,carry))) = and(a,b),
inference(spm,[status(thm)],[c_0_85,c_0_358]) ).
cnf(c_0_364,negated_conjecture,
and(cin,and(carry,carry_def)) = and(cin,carry),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_359]),c_0_44]) ).
cnf(c_0_365,negated_conjecture,
and(b,or(cin,carry_def)) = and(b,or(a,cin)),
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_54,c_0_360]),c_0_164]),c_0_63]),c_0_36]),c_0_179]),c_0_361]) ).
cnf(c_0_366,negated_conjecture,
and(cin,and(carry_def,or(a,b))) = and(cin,or(a,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_328]),c_0_44]),c_0_42]) ).
cnf(c_0_367,negated_conjecture,
or(a,or(b,t5)) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_362]),c_0_108]),c_0_179]) ).
cnf(c_0_368,negated_conjecture,
and(t1,not(and(b,and(a,carry)))) = t1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_363]),c_0_52]),c_0_52]) ).
cnf(c_0_369,negated_conjecture,
or(t1,and(X1,b)) = or(t1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_159]),c_0_77]) ).
cnf(c_0_370,negated_conjecture,
or(carry,and(a,b)) = carry,
inference(spm,[status(thm)],[c_0_85,c_0_114]) ).
cnf(c_0_371,negated_conjecture,
or(t1,and(carry,X1)) = or(t1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_268]),c_0_90]) ).
cnf(c_0_372,negated_conjecture,
and(carry,or(cin,carry_def)) = and(carry,carry_def),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_364]),c_0_164]),c_0_36]) ).
cnf(c_0_373,negated_conjecture,
or(cin,or(t1,carry_def)) = ll1,
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_348,c_0_365]),c_0_348]),c_0_179]),c_0_285]),c_0_36]),c_0_152]),c_0_76]) ).
cnf(c_0_374,negated_conjecture,
or(t5,and(carry_def,or(a,b))) = ll1,
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_303,c_0_366]),c_0_303]),c_0_285]),c_0_36]),c_0_179]),c_0_367]) ).
cnf(c_0_375,plain,
or(and(X1,and(not(and(X1,X2)),or(X1,X2))),and(not(X1),or(and(X1,X2),and(not(X1),not(X2))))) = not(X2),
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_226,c_0_167]),c_0_39]),c_0_39]),c_0_39]),c_0_167]),c_0_39]),c_0_39]),c_0_167]),c_0_64]),c_0_90]),c_0_197]),c_0_42]),c_0_36]),c_0_68]),c_0_259]),c_0_127]) ).
cnf(c_0_376,negated_conjecture,
and(t1,carry) = and(cin,t4),
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(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_301,c_0_368]),c_0_39]),c_0_68]),c_0_42]),c_0_114]),c_0_68]),c_0_260]),c_0_59]),c_0_68]),c_0_42]),c_0_114]),c_0_52]),c_0_44]),c_0_260]),c_0_262]),c_0_125]),c_0_59]),c_0_39]),c_0_68]),c_0_42]),c_0_114]),c_0_167]),c_0_369]),c_0_36]),c_0_152]),c_0_77]),c_0_127]),c_0_42]),c_0_96]),c_0_59]),c_0_68]),c_0_42]),c_0_249]),c_0_68]),c_0_42]),c_0_260]),c_0_125]),c_0_227]),c_0_68]),c_0_42]),c_0_114]),c_0_52]),c_0_90]),c_0_42]),c_0_42]),c_0_59]),c_0_68]),c_0_42]),c_0_249]),c_0_68]),c_0_42]),c_0_260]),c_0_125]),c_0_109]),c_0_39]),c_0_68]),c_0_42]),c_0_114]),c_0_44]),c_0_80]),c_0_314]),c_0_370]) ).
cnf(c_0_377,negated_conjecture,
or(and(a,b),and(t1,t5)) = t5,
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(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_301,c_0_368]),c_0_59]),c_0_68]),c_0_42]),c_0_114]),c_0_167]),c_0_369]),c_0_36]),c_0_152]),c_0_77]),c_0_68]),c_0_42]),c_0_114]),c_0_68]),c_0_260]),c_0_59]),c_0_68]),c_0_42]),c_0_114]),c_0_52]),c_0_44]),c_0_260]),c_0_262]),c_0_125]),c_0_125]),c_0_109]),c_0_42]),c_0_96]),c_0_59]),c_0_68]),c_0_42]),c_0_249]),c_0_68]),c_0_42]),c_0_260]),c_0_125]),c_0_227]),c_0_68]),c_0_42]),c_0_114]),c_0_90]),c_0_68]),c_0_114]),c_0_42]),c_0_59]),c_0_68]),c_0_42]),c_0_249]),c_0_68]),c_0_42]),c_0_260]),c_0_125]),c_0_109]),c_0_68]),c_0_42]),c_0_114]),c_0_52]),c_0_44]),c_0_50]) ).
cnf(c_0_378,negated_conjecture,
or(t1,carry_def) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_371]),c_0_179]),c_0_373]) ).
cnf(c_0_379,negated_conjecture,
or(t5,carry_def) = ll1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_374]),c_0_76]),c_0_76]) ).
cnf(c_0_380,negated_conjecture,
or(and(cin,t4),and(t1,t5)) = t1,
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_375,c_0_370]),c_0_68]),c_0_114]),c_0_52]),c_0_376]),c_0_68]),c_0_42]),c_0_158]),c_0_277]),c_0_160]),c_0_68]),c_0_114]),c_0_160]),c_0_52]),c_0_44]),c_0_50]),c_0_377]),c_0_44]),c_0_167]),c_0_52]) ).
cnf(c_0_381,negated_conjecture,
and(t1,not(carry_def)) = not(carry_def),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_378]),c_0_77]),c_0_42]) ).
cnf(c_0_382,negated_conjecture,
or(carry_def,and(t5,X1)) = or(carry_def,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_379]),c_0_90]) ).
cnf(c_0_383,negated_conjecture,
and(t5,carry) = and(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_380]),c_0_59]),c_0_49]),c_0_96]) ).
cnf(c_0_384,negated_conjecture,
( carry != carry_def
| sum != sum_def ),
inference(fof_simplification,[status(thm)],[prove_circuit]) ).
cnf(c_0_385,negated_conjecture,
and(a,and(b,carry_def)) = 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_45,c_0_381]),c_0_59]),c_0_39]),c_0_44]),c_0_59]) ).
cnf(c_0_386,negated_conjecture,
or(carry_def,and(a,b)) = or(carry,carry_def),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_36]) ).
cnf(c_0_387,negated_conjecture,
( carry != carry_def
| sum != sum_def ),
c_0_384 ).
cnf(c_0_388,plain,
or(X1,or(and(X2,X1),X3)) = or(X1,X3),
inference(spm,[status(thm)],[c_0_63,c_0_54]) ).
cnf(c_0_389,negated_conjecture,
or(and(cin,carry),and(a,and(b,and(t5,t7)))) = carry_def,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_325]),c_0_353]),c_0_36]) ).
cnf(c_0_390,negated_conjecture,
or(carry,carry_def) = carry_def,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_385]),c_0_386]) ).
cnf(c_0_391,negated_conjecture,
or(carry,and(a,and(b,X1))) = carry,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_370]),c_0_35]),c_0_44]) ).
cnf(c_0_392,negated_conjecture,
carry_def != carry,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_343])]) ).
cnf(c_0_393,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_390]),c_0_391]),c_0_392]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV003-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.36 % Computer : n016.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 20:52:14 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 44.39/11.87 % Version: 3.5.1
% 44.39/11.87 % Preprocessing class: FSMSSMSMSSSNFFN.
% 44.39/11.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 44.39/11.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 44.39/11.87 % Starting new_bool_3 with 300s (1) cores
% 44.39/11.87 % Starting new_bool_1 with 300s (1) cores
% 44.39/11.87 % Starting sh5l with 300s (1) cores
% 44.39/11.87 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 785978 completed with status 0
% 44.39/11.87 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 44.39/11.87 % Preprocessing class: FSMSSMSMSSSNFFN.
% 44.39/11.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 44.39/11.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 44.39/11.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 44.39/11.87 % No SInE strategy applied
% 44.39/11.87 % Search class: FUHPM-FFMM21-DFFFFFNN
% 44.39/11.87 % partial match(1): FUHPM-FFMF21-DFFFFFNN
% 44.39/11.87 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 44.39/11.87 % Starting SubtermCWHack with 136s (1) cores
% 44.39/11.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 44.39/11.87 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 44.39/11.87 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 44.39/11.87 % Starting new_bool_3 with 136s (1) cores
% 44.39/11.87 % new_bool_3 with pid 785989 completed with status 0
% 44.39/11.87 % Result found by new_bool_3
% 44.39/11.87 % Preprocessing class: FSMSSMSMSSSNFFN.
% 44.39/11.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 44.39/11.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 44.39/11.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 44.39/11.87 % No SInE strategy applied
% 44.39/11.87 % Search class: FUHPM-FFMM21-DFFFFFNN
% 44.39/11.87 % partial match(1): FUHPM-FFMF21-DFFFFFNN
% 44.39/11.87 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 44.39/11.87 % Starting SubtermCWHack with 136s (1) cores
% 44.39/11.87 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 44.39/11.87 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 44.39/11.87 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 44.39/11.87 % Starting new_bool_3 with 136s (1) cores
% 44.39/11.87 % Preprocessing time : 0.002 s
% 44.39/11.87 % Presaturation interreduction done
% 44.39/11.87
% 44.39/11.87 % Proof found!
% 44.39/11.87 % SZS status Unsatisfiable
% 44.39/11.87 % SZS output start CNFRefutation
% See solution above
% 44.39/11.88 % Parsed axioms : 36
% 44.39/11.88 % Removed by relevancy pruning/SinE : 0
% 44.39/11.88 % Initial clauses : 36
% 44.39/11.88 % Removed in clause preprocessing : 1
% 44.39/11.88 % Initial clauses in saturation : 35
% 44.39/11.88 % Processed clauses : 5107
% 44.39/11.88 % ...of these trivial : 2200
% 44.39/11.88 % ...subsumed : 615
% 44.39/11.88 % ...remaining for further processing : 2291
% 44.39/11.88 % Other redundant clauses eliminated : 0
% 44.39/11.88 % Clauses deleted for lack of memory : 0
% 44.39/11.88 % Backward-subsumed : 0
% 44.39/11.88 % Backward-rewritten : 824
% 44.39/11.88 % Generated clauses : 209882
% 44.39/11.88 % ...of the previous two non-redundant : 168159
% 44.39/11.88 % ...aggressively subsumed : 0
% 44.39/11.88 % Contextual simplify-reflections : 0
% 44.39/11.88 % Paramodulations : 209882
% 44.39/11.88 % Factorizations : 0
% 44.39/11.88 % NegExts : 0
% 44.39/11.88 % Equation resolutions : 0
% 44.39/11.88 % Disequality decompositions : 0
% 44.39/11.88 % Total rewrite steps : 1561631
% 44.39/11.88 % ...of those cached : 1482221
% 44.39/11.88 % Propositional unsat checks : 0
% 44.39/11.88 % Propositional check models : 0
% 44.39/11.88 % Propositional check unsatisfiable : 0
% 44.39/11.88 % Propositional clauses : 0
% 44.39/11.88 % Propositional clauses after purity: 0
% 44.39/11.88 % Propositional unsat core size : 0
% 44.39/11.88 % Propositional preprocessing time : 0.000
% 44.39/11.88 % Propositional encoding time : 0.000
% 44.39/11.88 % Propositional solver time : 0.000
% 44.39/11.88 % Success case prop preproc time : 0.000
% 44.39/11.88 % Success case prop encoding time : 0.000
% 44.39/11.88 % Success case prop solver time : 0.000
% 44.39/11.88 % Current number of processed clauses : 1433
% 44.39/11.88 % Positive orientable unit clauses : 1355
% 44.39/11.88 % Positive unorientable unit clauses: 77
% 44.39/11.88 % Negative unit clauses : 1
% 44.39/11.88 % Non-unit-clauses : 0
% 44.39/11.88 % Current number of unprocessed clauses: 162451
% 44.39/11.88 % ...number of literals in the above : 162451
% 44.39/11.88 % Current number of archived formulas : 0
% 44.39/11.88 % Current number of archived clauses : 859
% 44.39/11.88 % Clause-clause subsumption calls (NU) : 0
% 44.39/11.88 % Rec. Clause-clause subsumption calls : 0
% 44.39/11.88 % Non-unit clause-clause subsumptions : 0
% 44.39/11.88 % Unit Clause-clause subsumption calls : 201
% 44.39/11.88 % Rewrite failures with RHS unbound : 0
% 44.39/11.88 % BW rewrite match attempts : 6440
% 44.39/11.88 % BW rewrite match successes : 801
% 44.39/11.88 % Condensation attempts : 0
% 44.39/11.88 % Condensation successes : 0
% 44.39/11.88 % Termbank termtop insertions : 8908157
% 44.39/11.88 % Search garbage collected termcells : 5
% 44.39/11.88
% 44.39/11.88 % -------------------------------------------------
% 44.39/11.88 % User time : 6.006 s
% 44.39/11.88 % System time : 0.254 s
% 44.39/11.88 % Total time : 6.260 s
% 44.39/11.88 % Maximum resident set size: 3600 pages
% 44.39/11.88
% 44.39/11.88 % -------------------------------------------------
% 44.39/11.88 % User time : 30.380 s
% 44.39/11.88 % System time : 1.139 s
% 44.39/11.88 % Total time : 31.520 s
% 44.39/11.88 % Maximum resident set size: 4864 pages
% 44.39/11.88 % E exiting
%------------------------------------------------------------------------------