CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : RNG001-2 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:04:45 PM UTC 2026

% Result   : Unsatisfiable 40.92s 25.66s
% Output   : CNFRefutation 46.09s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(distributivity2,axiom,
    ( product(X1,X6,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ sum(X3,X5,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).

cnf(distributivity4,axiom,
    ( product(X6,X2,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | ~ sum(X3,X5,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).

cnf(distributivity3,axiom,
    ( sum(X3,X5,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | ~ product(X6,X2,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).

cnf(distributivity1,axiom,
    ( sum(X3,X5,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).

cnf(associativity_of_multiplication1,axiom,
    ( product(X1,X5,X6)
    | ~ product(X1,X2,X3)
    | ~ product(X2,X4,X5)
    | ~ product(X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication1) ).

cnf(associativity_of_multiplication2,axiom,
    ( product(X3,X4,X6)
    | ~ product(X1,X2,X3)
    | ~ product(X2,X4,X5)
    | ~ product(X1,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2) ).

cnf(associativity_of_addition1,axiom,
    ( sum(X1,X5,X6)
    | ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | ~ sum(X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1) ).

cnf(associativity_of_addition2,axiom,
    ( sum(X3,X4,X6)
    | ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | ~ sum(X1,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).

cnf(addition_is_well_defined,axiom,
    ( equalish(X3,X4)
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).

cnf(sum_substitution3,axiom,
    ( sum(X3,X4,X2)
    | ~ equalish(X1,X2)
    | ~ sum(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_substitution3) ).

cnf(commutativity_of_addition,axiom,
    ( sum(X2,X1,X3)
    | ~ sum(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).

cnf(closure_of_multiplication,axiom,
    product(X1,X2,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).

cnf(closure_of_addition,axiom,
    sum(X1,X2,add(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).

cnf(theorem,negated_conjecture,
    ~ product(a,additive_identity,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem) ).

cnf(additive_inverse1,axiom,
    sum(additive_inverse(X1),X1,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).

cnf(additive_inverse2,axiom,
    sum(X1,additive_inverse(X1),additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).

cnf(additive_identity1,axiom,
    sum(additive_identity,X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).

cnf(additive_identity2,axiom,
    sum(X1,additive_identity,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).

cnf(i_0_18,axiom,
    ( product(X1,X6,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ sum(X3,X5,X7) ),
    distributivity2,
    [final] ).

cnf(i_0_19,axiom,
    ( product(X6,X2,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | ~ sum(X3,X5,X7) ),
    distributivity4,
    [final] ).

cnf(i_0_20,axiom,
    ( sum(X3,X5,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | ~ product(X6,X2,X7) ),
    distributivity3,
    [final] ).

cnf(i_0_21,axiom,
    ( sum(X3,X5,X7)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ product(X1,X6,X7) ),
    distributivity1,
    [final] ).

cnf(i_0_22,axiom,
    ( product(X1,X5,X6)
    | ~ product(X1,X2,X3)
    | ~ product(X2,X4,X5)
    | ~ product(X3,X4,X6) ),
    associativity_of_multiplication1,
    [final] ).

cnf(i_0_23,axiom,
    ( product(X3,X4,X6)
    | ~ product(X1,X2,X3)
    | ~ product(X2,X4,X5)
    | ~ product(X1,X5,X6) ),
    associativity_of_multiplication2,
    [final] ).

cnf(i_0_24,axiom,
    ( sum(X1,X5,X6)
    | ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | ~ sum(X3,X4,X6) ),
    associativity_of_addition1,
    [final] ).

cnf(i_0_25,axiom,
    ( sum(X3,X4,X6)
    | ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | ~ sum(X1,X5,X6) ),
    associativity_of_addition2,
    [final] ).

cnf(i_0_26,axiom,
    ( equalish(X3,X4)
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X2,X4) ),
    addition_is_well_defined,
    [final] ).

cnf(i_0_27,axiom,
    ( sum(X3,X4,X2)
    | ~ equalish(X1,X2)
    | ~ sum(X3,X4,X1) ),
    sum_substitution3,
    [final] ).

cnf(i_0_28,axiom,
    ( sum(X2,X1,X3)
    | ~ sum(X1,X2,X3) ),
    commutativity_of_addition,
    [final] ).

cnf(i_0_29,axiom,
    product(X1,X2,multiply(X1,X2)),
    closure_of_multiplication,
    [final] ).

cnf(i_0_30,axiom,
    sum(X1,X2,add(X1,X2)),
    closure_of_addition,
    [final] ).

cnf(i_0_31,negated_conjecture,
    ~ product(a,additive_identity,additive_identity),
    theorem,
    [final] ).

cnf(i_0_32,axiom,
    sum(additive_inverse(X1),X1,additive_identity),
    additive_inverse1,
    [final] ).

cnf(i_0_33,axiom,
    sum(X1,additive_inverse(X1),additive_identity),
    additive_inverse2,
    [final] ).

cnf(i_0_34,axiom,
    sum(additive_identity,X1,X1),
    additive_identity1,
    [final] ).

cnf(i_0_35,axiom,
    sum(X1,additive_identity,X1),
    additive_identity2,
    [final] ).

cnf(i_0_36,plain,
    sum(X1,X2,add(X2,X1)),
    inference(scs_inference,[],[i_0_30,i_0_28]) ).

cnf(i_0_37,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_38,plain,
    equalish(X1,X1),
    inference(scs_inference,[],[i_0_34,i_0_30,i_0_28,i_0_26]) ).

cnf(i_0_39,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_40,plain,
    sum(additive_identity,add(X1,additive_inverse(X1)),additive_identity),
    inference(scs_inference,[],[i_0_34,i_0_30,i_0_33,i_0_28,i_0_26,i_0_24]) ).

cnf(i_0_41,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_42,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_43,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_44,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_45,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_34,i_0_42,i_0_29,i_0_30,i_0_33,i_0_28,i_0_26,i_0_24,i_0_20]) ).

cnf(i_0_46,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_47,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_48,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_49,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_50,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ product(X6,X2,X4)
    | ~ product(X7,X2,X5)
    | ~ sum(X6,X7,X1) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_51,plain,
    sum(multiply(X1,additive_identity),multiply(X1,additive_identity),multiply(X1,additive_identity)),
    inference(scs_inference,[],[i_0_34,i_0_42,i_0_49,i_0_29,i_0_48,i_0_30,i_0_33,i_0_28,i_0_26,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_52,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_53,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_54,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_55,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_56,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X1,X7,X5)
    | ~ sum(X6,X7,X2) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_57,plain,
    ( sum(additive_inverse(X1),X1,X2)
    | ~ equalish(add(X1,additive_inverse(X1)),X2) ),
    inference(scs_inference,[],[i_0_34,i_0_42,i_0_49,i_0_29,i_0_48,i_0_30,i_0_33,i_0_28,i_0_26,i_0_24,i_0_20,i_0_21,i_0_27]) ).

cnf(i_0_58,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_59,plain,
    product(X1,multiply(X1,X1),multiply(multiply(X1,X1),X1)),
    inference(scs_inference,[],[i_0_34,i_0_42,i_0_49,i_0_29,i_0_48,i_0_54,i_0_53,i_0_30,i_0_33,i_0_28,i_0_26,i_0_24,i_0_20,i_0_21,i_0_27,i_0_22]) ).

cnf(i_0_60,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_61,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_62,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_63,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_64,plain,
    product(multiply(X1,X1),X1,multiply(X1,multiply(X1,X1))),
    inference(scs_inference,[],[i_0_34,i_0_42,i_0_49,i_0_29,i_0_48,i_0_54,i_0_60,i_0_53,i_0_62,i_0_30,i_0_33,i_0_28,i_0_26,i_0_24,i_0_20,i_0_21,i_0_27,i_0_22,i_0_23]) ).

cnf(i_0_65,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_66,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_67,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_68,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_69,plain,
    ( product(X1,add(X2,X3),multiply(X1,X3))
    | ~ product(X1,X2,additive_identity) ),
    inference(scs_inference,[],[i_0_34,i_0_42,i_0_49,i_0_55,i_0_29,i_0_48,i_0_54,i_0_60,i_0_67,i_0_53,i_0_62,i_0_30,i_0_43,i_0_33,i_0_28,i_0_26,i_0_24,i_0_20,i_0_21,i_0_27,i_0_22,i_0_23,i_0_18]) ).

cnf(i_0_70,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_71,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_72,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_73,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_74,plain,
    ( product(add(X1,X2),add(X3,X4),multiply(add(X1,X2),X4))
    | ~ product(X1,X3,additive_identity)
    | ~ product(X2,X3,additive_identity) ),
    inference(scs_inference,[],[i_0_34,i_0_42,i_0_49,i_0_55,i_0_71,i_0_29,i_0_48,i_0_54,i_0_60,i_0_67,i_0_53,i_0_62,i_0_30,i_0_43,i_0_70,i_0_33,i_0_28,i_0_26,i_0_24,i_0_20,i_0_21,i_0_22,i_0_23,i_0_18,i_0_19]) ).

cnf(i_0_75,plain,
    sum(add(X1,additive_inverse(X1)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_40,i_0_28]) ).

cnf(i_0_76,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_77,plain,
    equalish(additive_inverse(additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_35,i_0_32,i_0_40,i_0_28,i_0_26]) ).

cnf(i_0_78,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_79,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_80,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_81,plain,
    sum(multiply(additive_identity,X1),additive_inverse(multiply(additive_identity,X1)),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_45,i_0_35,i_0_79,i_0_32,i_0_40,i_0_33,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_82,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_83,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_84,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_85,plain,
    sum(additive_inverse(X1),add(X1,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_45,i_0_35,i_0_79,i_0_82,i_0_32,i_0_78,i_0_36,i_0_40,i_0_33,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_86,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_87,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_88,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_89,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_90,plain,
    product(multiply(additive_identity,additive_identity),add(additive_identity,additive_identity),multiply(additive_identity,multiply(additive_identity,additive_identity))),
    inference(scs_inference,[],[i_0_64,i_0_45,i_0_35,i_0_79,i_0_82,i_0_32,i_0_78,i_0_36,i_0_88,i_0_40,i_0_33,i_0_28,i_0_26,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_91,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_92,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_93,plain,
    product(multiply(X1,X1),X1,multiply(X1,multiply(X1,X1))),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_94,plain,
    product(multiply(X1,X1),X1,multiply(X1,multiply(X1,X1))),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_95,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_96,plain,
    ( product(additive_identity,X1,multiply(additive_identity,multiply(additive_identity,additive_identity)))
    | ~ product(additive_identity,add(additive_identity,additive_identity),X1) ),
    inference(scs_inference,[],[i_0_64,i_0_45,i_0_35,i_0_79,i_0_82,i_0_32,i_0_78,i_0_36,i_0_88,i_0_40,i_0_33,i_0_29,i_0_28,i_0_26,i_0_25,i_0_24,i_0_18,i_0_22]) ).

cnf(i_0_97,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_98,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_99,plain,
    ( product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1))
    | ~ product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1)) ),
    inference(scs_inference,[],[i_0_64,i_0_45,i_0_92,i_0_35,i_0_79,i_0_82,i_0_32,i_0_78,i_0_36,i_0_88,i_0_40,i_0_33,i_0_29,i_0_28,i_0_26,i_0_25,i_0_24,i_0_18,i_0_22,i_0_19]) ).

cnf(i_0_100,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_101,plain,
    product(X1,multiply(X1,X1),multiply(multiply(X1,X1),X1)),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_102,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_104,plain,
    sum(additive_inverse(multiply(additive_identity,X1)),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_81,i_0_28]) ).

cnf(i_0_105,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_106,plain,
    equalish(multiply(additive_identity,X1),add(multiply(additive_identity,X1),multiply(additive_identity,X1))),
    inference(scs_inference,[],[i_0_45,i_0_30,i_0_81,i_0_28,i_0_26]) ).

cnf(i_0_107,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_108,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_109,plain,
    sum(multiply(additive_identity,X1),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_45,i_0_30,i_0_81,i_0_33,i_0_28,i_0_26,i_0_24]) ).

cnf(i_0_110,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_111,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_112,plain,
    ( sum(multiply(additive_identity,X1),X2,additive_identity)
    | ~ sum(multiply(additive_identity,X1),X2,additive_inverse(multiply(additive_identity,X1))) ),
    inference(scs_inference,[],[i_0_45,i_0_30,i_0_81,i_0_33,i_0_110,i_0_28,i_0_26,i_0_24,i_0_25]) ).

cnf(i_0_113,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_114,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_115,plain,
    ( product(multiply(X1,additive_identity),X2,multiply(X1,additive_identity))
    | ~ product(multiply(X1,additive_identity),X2,multiply(X1,additive_identity)) ),
    inference(scs_inference,[],[i_0_45,i_0_51,i_0_30,i_0_81,i_0_33,i_0_110,i_0_28,i_0_26,i_0_24,i_0_25,i_0_19]) ).

cnf(i_0_116,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_117,plain,
    ( sum(multiply(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
    | ~ product(multiply(additive_identity,additive_identity),add(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_90,i_0_45,i_0_51,i_0_30,i_0_81,i_0_33,i_0_110,i_0_28,i_0_26,i_0_24,i_0_25,i_0_19,i_0_20]) ).

cnf(i_0_118,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_119,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ product(X6,X2,X4)
    | ~ product(X7,X2,X5)
    | ~ sum(X6,X7,X1) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_120,plain,
    ( product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2))
    | ~ product(multiply(additive_identity,additive_identity),add(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
    | ~ sum(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(additive_identity,additive_identity))
    | ~ product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2)) ),
    inference(scs_inference,[],[i_0_90,i_0_45,i_0_118,i_0_51,i_0_30,i_0_81,i_0_33,i_0_110,i_0_28,i_0_26,i_0_24,i_0_19,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_121,plain,
    sum(add(X1,additive_identity),additive_inverse(X1),additive_identity),
    inference(scs_inference,[],[i_0_85,i_0_28]) ).

cnf(i_0_122,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_123,plain,
    ( product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2))
    | ~ product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2)) ),
    inference(scs_inference,[],[i_0_45,i_0_85,i_0_28,i_0_18]) ).

cnf(i_0_124,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_125,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_126,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_127,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_128,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_129,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_131,plain,
    sum(additive_identity,multiply(additive_identity,X1),additive_identity),
    inference(scs_inference,[],[i_0_109,i_0_28]) ).

cnf(i_0_132,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_133,plain,
    ( product(X1,multiply(X2,additive_identity),multiply(X2,additive_identity))
    | ~ product(X1,multiply(X2,additive_identity),multiply(X2,additive_identity)) ),
    inference(scs_inference,[],[i_0_51,i_0_109,i_0_28,i_0_18]) ).

cnf(i_0_134,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_135,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_136,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_137,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_139,plain,
    ( product(additive_identity,additive_identity,multiply(additive_identity,additive_inverse(X1)))
    | ~ product(additive_identity,X1,multiply(additive_identity,additive_inverse(X1))) ),
    inference(scs_inference,[],[i_0_45,i_0_32,i_0_29,i_0_18]) ).

cnf(i_0_140,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_141,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_142,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_143,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_144,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_145,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_146,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_147,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_148,plain,
    ( product(multiply(additive_identity,additive_inverse(X1)),X2,multiply(additive_identity,additive_inverse(X1)))
    | ~ product(additive_identity,X2,additive_identity)
    | ~ sum(multiply(additive_identity,additive_inverse(X1)),multiply(additive_identity,additive_inverse(X1)),additive_inverse(multiply(additive_identity,additive_inverse(X1))))
    | ~ product(additive_identity,X1,multiply(additive_identity,additive_inverse(X1))) ),
    inference(scs_inference,[],[i_0_90,i_0_45,i_0_140,i_0_35,i_0_145,i_0_32,i_0_33,i_0_29,i_0_141,i_0_18,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_19]) ).

cnf(i_0_149,plain,
    ( ~ product(a,additive_inverse(X1),additive_inverse(X1))
    | ~ product(a,add(X1,additive_identity),add(X1,additive_identity)) ),
    inference(scs_inference,[],[i_0_31,i_0_85,i_0_18]) ).

cnf(i_0_150,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_151,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(additive_inverse(X2),X1,additive_inverse(X2))
    | ~ product(add(X2,additive_identity),X1,add(X2,additive_identity)) ),
    inference(scs_inference,[],[i_0_31,i_0_85,i_0_19]) ).

cnf(i_0_158,plain,
    sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_35,i_0_32,i_0_33,i_0_25]) ).

cnf(i_0_159,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_160,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_161,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_162,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_163,plain,
    sum(additive_inverse(additive_inverse(additive_identity)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_35,i_0_160,i_0_32,i_0_159,i_0_33,i_0_161,i_0_25,i_0_24]) ).

cnf(i_0_164,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_165,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_166,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_167,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_168,plain,
    ~ product(a,additive_inverse(additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_35,i_0_160,i_0_32,i_0_159,i_0_33,i_0_161,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_169,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_170,plain,
    sum(additive_identity,additive_inverse(additive_inverse(additive_identity)),additive_identity),
    inference(scs_inference,[],[i_0_31,i_0_35,i_0_160,i_0_32,i_0_159,i_0_33,i_0_161,i_0_25,i_0_24,i_0_18,i_0_28]) ).

cnf(i_0_171,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_172,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_31,i_0_35,i_0_160,i_0_32,i_0_159,i_0_33,i_0_161,i_0_25,i_0_24,i_0_18,i_0_28,i_0_19]) ).

cnf(i_0_173,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_174,plain,
    ( product(additive_identity,add(X1,X2),multiply(additive_identity,X2))
    | ~ product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_31,i_0_35,i_0_160,i_0_32,i_0_159,i_0_33,i_0_161,i_0_25,i_0_24,i_0_18,i_0_28,i_0_19,i_0_69]) ).

cnf(i_0_175,plain,
    ( ~ product(X1,X2,additive_identity)
    | product(X1,add(X2,X3),multiply(X1,X3)) ),
    inference(rename_variables,[],[i_0_69]) ).

cnf(i_0_176,plain,
    ( ~ product(additive_inverse(additive_identity),add(additive_identity,additive_identity),additive_inverse(additive_identity))
    | product(additive_identity,additive_identity,multiply(additive_identity,multiply(additive_identity,additive_identity))) ),
    inference(scs_inference,[],[i_0_31,i_0_35,i_0_160,i_0_32,i_0_159,i_0_33,i_0_161,i_0_25,i_0_24,i_0_18,i_0_28,i_0_19,i_0_69,i_0_96]) ).

cnf(i_0_177,plain,
    ( ~ product(additive_identity,add(additive_identity,additive_identity),X1)
    | product(additive_identity,X1,multiply(additive_identity,multiply(additive_identity,additive_identity))) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_180,plain,
    sum(add(additive_identity,additive_identity),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_35,i_0_33,i_0_121,i_0_24]) ).

cnf(i_0_181,plain,
    sum(add(X1,additive_identity),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_182,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_183,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_184,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_185,plain,
    sum(additive_identity,add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_35,i_0_33,i_0_121,i_0_24,i_0_28]) ).

cnf(i_0_186,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_188,plain,
    sum(additive_identity,add(add(additive_identity,additive_identity),add(additive_identity,additive_identity)),additive_identity),
    inference(scs_inference,[],[i_0_36,i_0_185,i_0_24]) ).

cnf(i_0_189,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_190,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_191,plain,
    sum(add(add(additive_identity,additive_identity),add(additive_identity,additive_identity)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_36,i_0_185,i_0_24,i_0_28]) ).

cnf(i_0_192,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_289,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_29,i_0_45,i_0_36,i_0_18]) ).

cnf(i_0_290,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_291,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_292,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_293,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_294,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_295,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_29,i_0_293,i_0_45,i_0_291,i_0_36,i_0_290,i_0_18,i_0_19]) ).

cnf(i_0_296,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_297,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_298,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_299,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_300,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_301,plain,
    ( product(multiply(X1,X2),X3,multiply(X1,X2))
    | ~ product(X2,X3,X2) ),
    inference(scs_inference,[],[i_0_29,i_0_293,i_0_299,i_0_45,i_0_291,i_0_36,i_0_290,i_0_18,i_0_19,i_0_23]) ).

cnf(i_0_302,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_303,plain,
    ( product(X1,multiply(X1,X1),multiply(X1,X1))
    | ~ product(X1,X1,X1) ),
    inference(scs_inference,[],[i_0_29,i_0_293,i_0_299,i_0_45,i_0_291,i_0_36,i_0_290,i_0_18,i_0_19,i_0_23,i_0_22]) ).

cnf(i_0_304,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_305,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_306,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_307,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_308,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_309,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_310,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_311,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_312,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_313,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_314,plain,
    ( sum(multiply(X1,multiply(additive_identity,X2)),multiply(X1,multiply(additive_identity,X2)),multiply(X1,multiply(additive_identity,X2)))
    | ~ product(X3,X3,X3)
    | ~ sum(multiply(additive_identity,X2),multiply(additive_identity,X2),additive_inverse(multiply(additive_identity,X2))) ),
    inference(scs_inference,[],[i_0_29,i_0_293,i_0_299,i_0_305,i_0_310,i_0_45,i_0_291,i_0_297,i_0_33,i_0_36,i_0_290,i_0_18,i_0_19,i_0_23,i_0_22,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_315,plain,
    ( product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1))
    | ~ product(add(X1,X1),X2,add(X1,X1)) ),
    inference(scs_inference,[],[i_0_289,i_0_23]) ).

cnf(i_0_316,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_317,plain,
    ( product(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
    | ~ product(add(additive_identity,additive_identity),additive_identity,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_29,i_0_289,i_0_23,i_0_22]) ).

cnf(i_0_318,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_319,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_320,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_321,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_322,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_323,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_324,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_325,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_326,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_327,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_328,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_329,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_331,plain,
    sum(additive_inverse(additive_identity),multiply(additive_identity,X1),additive_identity),
    inference(scs_inference,[],[i_0_35,i_0_32,i_0_131,i_0_25]) ).

cnf(i_0_332,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_333,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_334,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_335,plain,
    sum(additive_inverse(multiply(additive_identity,X1)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_35,i_0_333,i_0_32,i_0_332,i_0_131,i_0_25,i_0_24]) ).

cnf(i_0_336,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_337,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_338,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_339,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_35,i_0_333,i_0_32,i_0_332,i_0_131,i_0_25,i_0_24,i_0_28]) ).

cnf(i_0_340,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_341,plain,
    ( product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2))
    | ~ product(X1,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_289,i_0_35,i_0_333,i_0_32,i_0_332,i_0_131,i_0_25,i_0_24,i_0_28,i_0_22]) ).

cnf(i_0_342,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_343,plain,
    ( product(additive_identity,multiply(additive_identity,X1),multiply(additive_identity,X1))
    | ~ product(additive_inverse(additive_identity),additive_identity,additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_289,i_0_35,i_0_333,i_0_32,i_0_332,i_0_131,i_0_158,i_0_25,i_0_24,i_0_28,i_0_22,i_0_19]) ).

cnf(i_0_344,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_346,plain,
    sum(additive_identity,additive_inverse(multiply(additive_identity,X1)),additive_identity),
    inference(scs_inference,[],[i_0_335,i_0_28]) ).

cnf(i_0_347,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_348,plain,
    ( product(X1,multiply(X2,X3),multiply(additive_identity,X3))
    | ~ product(X1,X2,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_29,i_0_295,i_0_335,i_0_28,i_0_22]) ).

cnf(i_0_349,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_350,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_351,plain,
    ( product(multiply(X1,X1),X1,multiply(additive_identity,X1))
    | ~ product(X1,X1,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_29,i_0_295,i_0_335,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_352,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_353,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_354,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_355,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_356,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_357,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_358,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_359,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_360,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_361,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_362,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_363,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_365,plain,
    ( product(additive_identity,additive_identity,multiply(additive_identity,X1))
    | ~ product(additive_identity,additive_inverse(X1),multiply(additive_identity,X1)) ),
    inference(scs_inference,[],[i_0_29,i_0_45,i_0_33,i_0_18]) ).

cnf(i_0_366,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_367,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_368,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_369,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_370,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_371,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_372,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_373,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_374,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_375,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_376,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_377,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_378,plain,
    ( product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1))
    | ~ product(additive_identity,X2,additive_identity)
    | ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X1),additive_inverse(multiply(additive_identity,X1)))
    | ~ product(additive_identity,additive_inverse(X1),multiply(additive_identity,X1)) ),
    inference(scs_inference,[],[i_0_29,i_0_368,i_0_373,i_0_289,i_0_45,i_0_367,i_0_33,i_0_366,i_0_18,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_19]) ).

cnf(i_0_379,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(multiply(additive_identity,X2),X1,multiply(additive_identity,X2))
    | ~ product(additive_identity,X1,additive_identity) ),
    inference(scs_inference,[],[i_0_109,i_0_19]) ).

cnf(i_0_383,plain,
    equalish(additive_identity,additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_32,i_0_35,i_0_26]) ).

cnf(i_0_384,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_385,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_386,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_395,plain,
    sum(additive_identity,add(additive_inverse(additive_identity),additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_33,i_0_32,i_0_85,i_0_25]) ).

cnf(i_0_396,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_397,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_398,plain,
    sum(additive_inverse(X1),add(X1,additive_identity),additive_identity),
    inference(rename_variables,[],[i_0_85]) ).

cnf(i_0_399,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_400,plain,
    sum(add(additive_inverse(additive_identity),additive_identity),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_33,i_0_32,i_0_85,i_0_25,i_0_28]) ).

cnf(i_0_401,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_424,plain,
    product(additive_identity,multiply(additive_identity,X1),multiply(multiply(additive_identity,additive_identity),X1)),
    inference(scs_inference,[],[i_0_29,i_0_289,i_0_295,i_0_22]) ).

cnf(i_0_425,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_426,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_427,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_501,plain,
    equalish(add(X1,additive_inverse(X1)),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_33,i_0_26]) ).

cnf(i_0_502,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_503,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_504,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_505,plain,
    sum(add(X1,multiply(additive_identity,X2)),additive_identity,X1),
    inference(scs_inference,[],[i_0_30,i_0_503,i_0_109,i_0_33,i_0_35,i_0_26,i_0_25]) ).

cnf(i_0_506,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_507,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_508,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_509,plain,
    sum(additive_inverse(X1),add(additive_identity,add(X1,additive_identity)),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_503,i_0_507,i_0_109,i_0_85,i_0_33,i_0_35,i_0_506,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_510,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_511,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_512,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_513,plain,
    product(add(additive_identity,additive_identity),additive_identity,add(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),
    inference(scs_inference,[],[i_0_30,i_0_503,i_0_507,i_0_511,i_0_295,i_0_109,i_0_85,i_0_33,i_0_35,i_0_506,i_0_34,i_0_26,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_514,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_515,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_516,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_517,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_518,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_519,plain,
    sum(additive_identity,add(X1,multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_30,i_0_503,i_0_507,i_0_511,i_0_295,i_0_109,i_0_85,i_0_33,i_0_35,i_0_506,i_0_34,i_0_26,i_0_25,i_0_24,i_0_18,i_0_28]) ).

cnf(i_0_520,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_521,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(additive_identity,add(X1,X1))),
    inference(scs_inference,[],[i_0_30,i_0_503,i_0_507,i_0_511,i_0_515,i_0_295,i_0_517,i_0_516,i_0_109,i_0_85,i_0_33,i_0_35,i_0_506,i_0_34,i_0_26,i_0_25,i_0_24,i_0_18,i_0_28,i_0_21]) ).

cnf(i_0_522,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_523,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_524,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_525,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_526,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X1,X7,X5)
    | ~ sum(X6,X7,X2) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_527,plain,
    ( product(add(X1,X2),X3,add(X1,X2))
    | ~ product(X1,X3,X1)
    | ~ product(X2,X3,X2) ),
    inference(scs_inference,[],[i_0_30,i_0_503,i_0_507,i_0_511,i_0_515,i_0_525,i_0_295,i_0_517,i_0_516,i_0_109,i_0_85,i_0_33,i_0_35,i_0_506,i_0_34,i_0_26,i_0_25,i_0_24,i_0_18,i_0_28,i_0_21,i_0_19]) ).

cnf(i_0_528,plain,
    sum(add(additive_identity,add(X1,additive_identity)),additive_inverse(X1),additive_identity),
    inference(scs_inference,[],[i_0_509,i_0_28]) ).

cnf(i_0_529,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_530,plain,
    equalish(add(X1,additive_identity),X1),
    inference(scs_inference,[],[i_0_30,i_0_35,i_0_509,i_0_28,i_0_26]) ).

cnf(i_0_531,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_532,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_533,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_534,plain,
    sum(additive_identity,add(multiply(additive_identity,X1),multiply(additive_identity,X1)),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_532,i_0_131,i_0_35,i_0_509,i_0_28,i_0_26,i_0_24]) ).

cnf(i_0_535,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_536,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_538,plain,
    sum(add(multiply(additive_identity,X1),multiply(additive_identity,X1)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_534,i_0_28]) ).

cnf(i_0_539,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_540,plain,
    equalish(add(additive_inverse(X1),X1),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_32,i_0_534,i_0_28,i_0_26]) ).

cnf(i_0_541,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_542,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_543,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_544,plain,
    sum(X1,additive_inverse(add(X1,additive_identity)),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_542,i_0_33,i_0_32,i_0_34,i_0_534,i_0_28,i_0_26,i_0_24]) ).

cnf(i_0_545,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_546,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_547,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_548,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_550,plain,
    sum(additive_inverse(add(X1,additive_identity)),X1,additive_identity),
    inference(scs_inference,[],[i_0_544,i_0_28]) ).

cnf(i_0_551,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_552,plain,
    equalish(add(additive_identity,X1),X1),
    inference(scs_inference,[],[i_0_30,i_0_34,i_0_544,i_0_28,i_0_26]) ).

cnf(i_0_553,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_554,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_555,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_556,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,additive_inverse(additive_identity)),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_554,i_0_35,i_0_158,i_0_34,i_0_544,i_0_28,i_0_26,i_0_24]) ).

cnf(i_0_557,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_558,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_559,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_561,plain,
    sum(add(additive_identity,additive_inverse(additive_identity)),additive_inverse(additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_556,i_0_28]) ).

cnf(i_0_562,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_563,plain,
    equalish(add(X1,X2),add(X2,X1)),
    inference(scs_inference,[],[i_0_30,i_0_36,i_0_556,i_0_28,i_0_26]) ).

cnf(i_0_564,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_565,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_566,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,multiply(additive_identity,X1)),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_35,i_0_331,i_0_36,i_0_556,i_0_28,i_0_26,i_0_24]) ).

cnf(i_0_567,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_568,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_569,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_571,plain,
    sum(add(additive_identity,multiply(additive_identity,X1)),additive_inverse(additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_566,i_0_28]) ).

cnf(i_0_572,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_573,plain,
    sum(additive_inverse(X1),add(additive_identity,X1),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_35,i_0_32,i_0_566,i_0_28,i_0_24]) ).

cnf(i_0_574,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_575,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_576,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_577,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_578,plain,
    ( ~ product(a,additive_inverse(X1),additive_inverse(X1))
    | ~ product(a,add(additive_identity,X1),add(additive_identity,X1)) ),
    inference(scs_inference,[],[i_0_30,i_0_31,i_0_35,i_0_32,i_0_566,i_0_28,i_0_24,i_0_18]) ).

cnf(i_0_579,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_581,plain,
    sum(add(additive_identity,X1),additive_inverse(X1),additive_identity),
    inference(scs_inference,[],[i_0_573,i_0_28]) ).

cnf(i_0_582,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_583,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(scs_inference,[],[i_0_35,i_0_563,i_0_573,i_0_28,i_0_27]) ).

cnf(i_0_584,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_585,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_586,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X1,X2)),
    inference(scs_inference,[],[i_0_131,i_0_35,i_0_563,i_0_573,i_0_28,i_0_27,i_0_25]) ).

cnf(i_0_587,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_588,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(scs_inference,[],[i_0_30,i_0_109,i_0_131,i_0_35,i_0_34,i_0_563,i_0_573,i_0_28,i_0_27,i_0_25,i_0_24]) ).

cnf(i_0_589,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_590,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_591,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_592,plain,
    equalish(add(multiply(additive_identity,X1),add(additive_identity,X2)),X2),
    inference(scs_inference,[],[i_0_30,i_0_590,i_0_109,i_0_131,i_0_35,i_0_34,i_0_563,i_0_573,i_0_28,i_0_27,i_0_25,i_0_24,i_0_26]) ).

cnf(i_0_593,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_594,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_596,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X2,X3)),
    inference(scs_inference,[],[i_0_586,i_0_28]) ).

cnf(i_0_597,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_598,plain,
    sum(add(additive_identity,X1),additive_identity,X1),
    inference(scs_inference,[],[i_0_35,i_0_552,i_0_586,i_0_28,i_0_27]) ).

cnf(i_0_599,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_600,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_601,plain,
    equalish(add(add(additive_identity,X1),additive_identity),X1),
    inference(scs_inference,[],[i_0_30,i_0_35,i_0_552,i_0_586,i_0_28,i_0_27,i_0_26]) ).

cnf(i_0_602,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_603,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_604,plain,
    sum(add(multiply(additive_identity,X1),add(additive_identity,X2)),additive_identity,X2),
    inference(scs_inference,[],[i_0_30,i_0_602,i_0_35,i_0_599,i_0_552,i_0_586,i_0_588,i_0_28,i_0_27,i_0_26,i_0_25]) ).

cnf(i_0_605,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_606,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_607,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_608,plain,
    sum(additive_inverse(X1),add(additive_identity,add(additive_identity,X1)),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_602,i_0_605,i_0_35,i_0_599,i_0_606,i_0_552,i_0_573,i_0_586,i_0_588,i_0_28,i_0_27,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_609,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_610,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_611,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_613,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(scs_inference,[],[i_0_583,i_0_28]) ).

cnf(i_0_614,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_615,plain,
    sum(multiply(additive_identity,X1),add(X2,additive_inverse(X2)),additive_identity),
    inference(scs_inference,[],[i_0_501,i_0_596,i_0_583,i_0_28,i_0_27]) ).

cnf(i_0_616,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X2,X3)),
    inference(rename_variables,[],[i_0_596]) ).

cnf(i_0_617,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_618,plain,
    sum(add(add(additive_identity,X1),multiply(additive_identity,X2)),additive_identity,X1),
    inference(scs_inference,[],[i_0_30,i_0_109,i_0_501,i_0_596,i_0_583,i_0_598,i_0_28,i_0_27,i_0_25]) ).

cnf(i_0_619,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_620,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_621,plain,
    sum(add(additive_identity,additive_identity),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_619,i_0_109,i_0_35,i_0_191,i_0_501,i_0_596,i_0_583,i_0_598,i_0_28,i_0_27,i_0_25,i_0_24]) ).

cnf(i_0_622,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_623,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_624,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_625,plain,
    ~ product(a,add(additive_identity,additive_identity),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_30,i_0_619,i_0_31,i_0_109,i_0_35,i_0_191,i_0_501,i_0_596,i_0_583,i_0_598,i_0_28,i_0_27,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_626,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_627,plain,
    ( ~ product(a,add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_identity,add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_619,i_0_622,i_0_31,i_0_109,i_0_35,i_0_623,i_0_191,i_0_501,i_0_596,i_0_583,i_0_598,i_0_28,i_0_27,i_0_25,i_0_24,i_0_18,i_0_19]) ).

cnf(i_0_628,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_629,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_630,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_631,plain,
    sum(add(additive_identity,add(additive_identity,X1)),additive_inverse(X1),additive_identity),
    inference(scs_inference,[],[i_0_608,i_0_28]) ).

cnf(i_0_632,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_633,plain,
    sum(add(add(X1,X2),multiply(additive_identity,X3)),additive_identity,add(X2,X1)),
    inference(scs_inference,[],[i_0_563,i_0_505,i_0_608,i_0_28,i_0_27]) ).

cnf(i_0_634,plain,
    sum(add(X1,multiply(additive_identity,X2)),additive_identity,X1),
    inference(rename_variables,[],[i_0_505]) ).

cnf(i_0_635,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_636,plain,
    sum(add(X1,X2),add(multiply(additive_identity,X3),multiply(additive_identity,X3)),add(X1,X2)),
    inference(scs_inference,[],[i_0_30,i_0_563,i_0_505,i_0_608,i_0_586,i_0_28,i_0_27,i_0_24]) ).

cnf(i_0_637,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_638,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_639,plain,
    ( ~ product(a,multiply(additive_identity,X1),additive_identity)
    | ~ product(a,add(additive_identity,add(additive_identity,additive_identity)),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_637,i_0_625,i_0_563,i_0_505,i_0_608,i_0_586,i_0_588,i_0_28,i_0_27,i_0_24,i_0_18]) ).

cnf(i_0_640,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_641,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_642,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_644,plain,
    sum(additive_identity,add(additive_identity,X1),X1),
    inference(scs_inference,[],[i_0_598,i_0_28]) ).

cnf(i_0_645,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_646,plain,
    sum(add(additive_identity,X1),multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_586,i_0_552,i_0_598,i_0_28,i_0_27]) ).

cnf(i_0_647,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X1,X2)),
    inference(rename_variables,[],[i_0_586]) ).

cnf(i_0_648,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_649,plain,
    equalish(add(additive_identity,add(additive_identity,X1)),X1),
    inference(scs_inference,[],[i_0_30,i_0_586,i_0_552,i_0_598,i_0_28,i_0_27,i_0_26]) ).

cnf(i_0_650,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_651,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_652,plain,
    sum(add(add(additive_identity,X1),multiply(additive_identity,X2)),multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_30,i_0_650,i_0_45,i_0_586,i_0_552,i_0_598,i_0_28,i_0_27,i_0_26,i_0_25]) ).

cnf(i_0_653,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_654,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_655,plain,
    sum(add(X1,X1),add(additive_identity,additive_identity),add(X1,X1)),
    inference(scs_inference,[],[i_0_30,i_0_650,i_0_653,i_0_45,i_0_586,i_0_552,i_0_583,i_0_598,i_0_28,i_0_27,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_656,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_657,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_658,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_659,plain,
    ( ~ product(add(additive_identity,a),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_identity,add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_650,i_0_653,i_0_657,i_0_45,i_0_625,i_0_586,i_0_552,i_0_583,i_0_598,i_0_28,i_0_27,i_0_26,i_0_25,i_0_24,i_0_19]) ).

cnf(i_0_660,plain,
    sum(add(additive_identity,X1),additive_identity,X1),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_661,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_662,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_663,plain,
    ( product(X1,a,a)
    | ~ product(X1,additive_identity,additive_identity)
    | ~ product(X1,add(additive_identity,a),add(additive_identity,a)) ),
    inference(scs_inference,[],[i_0_30,i_0_650,i_0_653,i_0_657,i_0_45,i_0_625,i_0_586,i_0_552,i_0_583,i_0_598,i_0_28,i_0_27,i_0_26,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_664,plain,
    sum(add(X1,additive_inverse(X1)),multiply(additive_identity,X2),additive_identity),
    inference(scs_inference,[],[i_0_615,i_0_28]) ).

cnf(i_0_665,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_666,plain,
    sum(additive_identity,add(additive_inverse(X1),X1),additive_identity),
    inference(scs_inference,[],[i_0_613,i_0_501,i_0_615,i_0_28,i_0_27]) ).

cnf(i_0_667,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_668,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_669,plain,
    equalish(add(add(additive_identity,X1),multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_30,i_0_613,i_0_501,i_0_615,i_0_646,i_0_28,i_0_27,i_0_26]) ).

cnf(i_0_670,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_671,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_672,plain,
    sum(multiply(additive_identity,X1),add(multiply(additive_identity,X1),add(additive_identity,X2)),X2),
    inference(scs_inference,[],[i_0_30,i_0_670,i_0_45,i_0_613,i_0_501,i_0_588,i_0_615,i_0_646,i_0_28,i_0_27,i_0_26,i_0_24]) ).

cnf(i_0_673,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_674,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_675,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_676,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(add(additive_identity,additive_identity),add(X1,X1))),
    inference(scs_inference,[],[i_0_30,i_0_670,i_0_674,i_0_289,i_0_45,i_0_29,i_0_613,i_0_501,i_0_588,i_0_615,i_0_646,i_0_28,i_0_27,i_0_26,i_0_24,i_0_20]) ).

cnf(i_0_677,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_678,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_679,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ product(X6,X2,X4)
    | ~ product(X7,X2,X5)
    | ~ sum(X6,X7,X1) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_680,plain,
    product(add(additive_identity,additive_identity),add(X1,X1),add(multiply(additive_identity,X1),multiply(additive_identity,X1))),
    inference(scs_inference,[],[i_0_30,i_0_670,i_0_674,i_0_678,i_0_289,i_0_45,i_0_29,i_0_36,i_0_613,i_0_501,i_0_588,i_0_615,i_0_646,i_0_28,i_0_27,i_0_26,i_0_24,i_0_20,i_0_19]) ).

cnf(i_0_681,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_682,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_683,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_684,plain,
    ( product(X1,multiply(additive_identity,X2),multiply(additive_identity,add(X2,X2)))
    | ~ product(X1,additive_identity,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_670,i_0_674,i_0_678,i_0_289,i_0_45,i_0_295,i_0_29,i_0_36,i_0_613,i_0_501,i_0_588,i_0_615,i_0_646,i_0_28,i_0_27,i_0_26,i_0_24,i_0_20,i_0_19,i_0_22]) ).

cnf(i_0_685,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_686,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_687,plain,
    ( product(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,add(additive_identity,additive_identity)))
    | ~ product(additive_identity,additive_identity,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_670,i_0_674,i_0_678,i_0_289,i_0_45,i_0_295,i_0_685,i_0_29,i_0_36,i_0_613,i_0_501,i_0_588,i_0_615,i_0_646,i_0_28,i_0_27,i_0_26,i_0_24,i_0_20,i_0_19,i_0_22,i_0_23]) ).

cnf(i_0_688,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_689,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_690,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_692,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(scs_inference,[],[i_0_655,i_0_28]) ).

cnf(i_0_693,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_694,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(scs_inference,[],[i_0_596,i_0_563,i_0_655,i_0_28,i_0_27]) ).

cnf(i_0_695,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X2,X3)),
    inference(rename_variables,[],[i_0_596]) ).

cnf(i_0_696,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_697,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,add(additive_identity,X2)),X2),
    inference(scs_inference,[],[i_0_30,i_0_109,i_0_596,i_0_563,i_0_655,i_0_644,i_0_28,i_0_27,i_0_24]) ).

cnf(i_0_698,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_699,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_700,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_109,i_0_621,i_0_596,i_0_563,i_0_655,i_0_644,i_0_28,i_0_27,i_0_24,i_0_19]) ).

cnf(i_0_701,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_702,plain,
    ( product(multiply(X1,additive_identity),X2,multiply(X1,additive_identity))
    | ~ product(add(additive_identity,additive_identity),X2,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_109,i_0_621,i_0_596,i_0_563,i_0_655,i_0_644,i_0_28,i_0_27,i_0_24,i_0_19,i_0_301]) ).

cnf(i_0_703,plain,
    ( ~ product(X1,X2,X1)
    | product(multiply(X3,X1),X2,multiply(X3,X1)) ),
    inference(rename_variables,[],[i_0_301]) ).

cnf(i_0_704,plain,
    ( ~ product(add(additive_identity,additive_identity),additive_identity,add(additive_identity,additive_identity))
    | product(additive_identity,multiply(additive_identity,X1),multiply(additive_identity,X1)) ),
    inference(scs_inference,[],[i_0_30,i_0_109,i_0_621,i_0_596,i_0_563,i_0_655,i_0_644,i_0_28,i_0_27,i_0_24,i_0_19,i_0_301,i_0_341]) ).

cnf(i_0_705,plain,
    ( ~ product(X1,additive_identity,additive_identity)
    | product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2)) ),
    inference(rename_variables,[],[i_0_341]) ).

cnf(i_0_706,plain,
    ( product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1))
    | ~ product(add(additive_identity,additive_identity),additive_identity,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_109,i_0_621,i_0_596,i_0_563,i_0_655,i_0_644,i_0_28,i_0_27,i_0_24,i_0_19,i_0_301,i_0_341,i_0_69]) ).

cnf(i_0_707,plain,
    ( ~ product(X1,X2,additive_identity)
    | product(X1,add(X2,X3),multiply(X1,X3)) ),
    inference(rename_variables,[],[i_0_69]) ).

cnf(i_0_708,plain,
    ( product(add(additive_identity,additive_identity),add(additive_identity,X1),multiply(add(additive_identity,additive_identity),X1))
    | ~ product(add(additive_identity,additive_identity),additive_identity,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_109,i_0_621,i_0_596,i_0_563,i_0_655,i_0_644,i_0_28,i_0_27,i_0_24,i_0_19,i_0_301,i_0_341,i_0_69,i_0_74]) ).

cnf(i_0_709,plain,
    ( ~ product(X1,X2,additive_identity)
    | ~ product(X3,X2,additive_identity)
    | product(add(X1,X3),add(X2,X4),multiply(add(X1,X3),X4)) ),
    inference(rename_variables,[],[i_0_74]) ).

cnf(i_0_710,plain,
    ( product(add(additive_identity,additive_identity),additive_identity,add(additive_identity,additive_identity))
    | ~ product(add(additive_identity,additive_identity),additive_identity,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_109,i_0_621,i_0_596,i_0_563,i_0_655,i_0_644,i_0_28,i_0_27,i_0_24,i_0_19,i_0_301,i_0_341,i_0_69,i_0_74,i_0_663,i_0_527]) ).

cnf(i_0_711,plain,
    ( ~ product(X1,X2,X1)
    | ~ product(X3,X2,X3)
    | product(add(X1,X3),X2,add(X1,X3)) ),
    inference(rename_variables,[],[i_0_527]) ).

cnf(i_0_712,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_713,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_714,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_715,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_716,plain,
    sum(add(X1,X1),add(additive_identity,additive_identity),add(X1,X1)),
    inference(rename_variables,[],[i_0_655]) ).

cnf(i_0_717,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_718,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_720,plain,
    sum(additive_identity,add(add(X1,X2),multiply(additive_identity,X3)),add(X2,X1)),
    inference(scs_inference,[],[i_0_633,i_0_28]) ).

cnf(i_0_721,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_722,plain,
    sum(add(additive_identity,add(additive_identity,X1)),additive_identity,X1),
    inference(scs_inference,[],[i_0_598,i_0_552,i_0_633,i_0_28,i_0_27]) ).

cnf(i_0_723,plain,
    sum(add(additive_identity,X1),additive_identity,X1),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_724,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_725,plain,
    ( ~ product(additive_identity,add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(a,multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_598,i_0_552,i_0_519,i_0_633,i_0_28,i_0_27,i_0_19]) ).

cnf(i_0_726,plain,
    sum(additive_identity,add(X1,multiply(additive_identity,X2)),X1),
    inference(rename_variables,[],[i_0_519]) ).

cnf(i_0_727,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_728,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_729,plain,
    ( ~ product(add(a,multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_inverse(additive_identity),add(additive_identity,additive_identity),additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_598,i_0_552,i_0_519,i_0_633,i_0_28,i_0_27,i_0_19,i_0_172]) ).

cnf(i_0_730,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity)) ),
    inference(rename_variables,[],[i_0_172]) ).

cnf(i_0_731,plain,
    ( ~ product(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(additive_identity,additive_identity))
    | ~ product(add(a,multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_598,i_0_552,i_0_519,i_0_633,i_0_28,i_0_27,i_0_19,i_0_172,i_0_700]) ).

cnf(i_0_732,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity)) ),
    inference(rename_variables,[],[i_0_700]) ).

cnf(i_0_734,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(scs_inference,[],[i_0_694,i_0_28]) ).

cnf(i_0_735,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_736,plain,
    sum(add(additive_inverse(X1),X1),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_583,i_0_501,i_0_694,i_0_28,i_0_27]) ).

cnf(i_0_737,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_738,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_739,plain,
    ( ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(additive_identity,a),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_583,i_0_588,i_0_501,i_0_694,i_0_28,i_0_27,i_0_19]) ).

cnf(i_0_740,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_741,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_742,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_743,plain,
    sum(add(multiply(additive_identity,X1),multiply(additive_identity,X1)),add(X2,X3),add(X2,X3)),
    inference(scs_inference,[],[i_0_636,i_0_28]) ).

cnf(i_0_744,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_745,plain,
    sum(add(additive_identity,add(X1,X2)),multiply(additive_identity,X3),add(X2,X1)),
    inference(scs_inference,[],[i_0_646,i_0_563,i_0_636,i_0_28,i_0_27]) ).

cnf(i_0_746,plain,
    sum(add(additive_identity,X1),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_646]) ).

cnf(i_0_747,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_748,plain,
    sum(additive_identity,add(multiply(additive_identity,X1),add(X2,X3)),add(X3,X2)),
    inference(scs_inference,[],[i_0_30,i_0_36,i_0_646,i_0_563,i_0_636,i_0_28,i_0_27,i_0_24]) ).

cnf(i_0_749,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_750,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_751,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_752,plain,
    ( ~ product(add(add(additive_identity,a),multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity)
    | ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_749,i_0_625,i_0_36,i_0_646,i_0_563,i_0_636,i_0_652,i_0_28,i_0_27,i_0_24,i_0_19]) ).

cnf(i_0_753,plain,
    sum(add(add(additive_identity,X1),multiply(additive_identity,X2)),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_754,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_755,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_756,plain,
    sum(additive_identity,add(multiply(additive_identity,X1),add(additive_identity,X2)),X2),
    inference(scs_inference,[],[i_0_604,i_0_28]) ).

cnf(i_0_757,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_758,plain,
    sum(additive_identity,add(X1,additive_identity),X1),
    inference(scs_inference,[],[i_0_613,i_0_552,i_0_604,i_0_28,i_0_27]) ).

cnf(i_0_759,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_760,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_761,plain,
    equalish(add(additive_identity,add(X1,additive_identity)),X1),
    inference(scs_inference,[],[i_0_30,i_0_613,i_0_552,i_0_604,i_0_28,i_0_27,i_0_26]) ).

cnf(i_0_762,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_763,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_764,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,add(X2,additive_identity)),X2),
    inference(scs_inference,[],[i_0_30,i_0_762,i_0_109,i_0_613,i_0_552,i_0_604,i_0_28,i_0_27,i_0_26,i_0_24]) ).

cnf(i_0_765,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_766,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_767,plain,
    ( ~ product(add(multiply(additive_identity,X1),add(additive_identity,a)),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_identity,add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_762,i_0_765,i_0_625,i_0_109,i_0_613,i_0_552,i_0_604,i_0_28,i_0_27,i_0_26,i_0_24,i_0_19]) ).

cnf(i_0_768,plain,
    sum(add(multiply(additive_identity,X1),add(additive_identity,X2)),additive_identity,X2),
    inference(rename_variables,[],[i_0_604]) ).

cnf(i_0_769,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_770,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_771,plain,
    sum(additive_identity,add(add(additive_identity,X1),multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_618,i_0_28]) ).

cnf(i_0_772,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_773,plain,
    sum(multiply(additive_identity,X1),add(additive_inverse(X2),X2),additive_identity),
    inference(scs_inference,[],[i_0_694,i_0_501,i_0_618,i_0_28,i_0_27]) ).

cnf(i_0_774,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_775,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_776,plain,
    ( ~ product(add(add(additive_identity,a),multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_identity,add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_694,i_0_501,i_0_618,i_0_28,i_0_27,i_0_19]) ).

cnf(i_0_777,plain,
    sum(add(add(additive_identity,X1),multiply(additive_identity,X2)),additive_identity,X1),
    inference(rename_variables,[],[i_0_618]) ).

cnf(i_0_778,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_779,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_780,plain,
    sum(multiply(additive_identity,X1),a,a),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_109,i_0_694,i_0_501,i_0_618,i_0_28,i_0_27,i_0_19,i_0_24]) ).

cnf(i_0_781,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_782,plain,
    ( product(X1,a,a)
    | ~ product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2))
    | ~ product(X1,a,a) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_109,i_0_694,i_0_501,i_0_618,i_0_28,i_0_27,i_0_24,i_0_18]) ).

cnf(i_0_783,plain,
    sum(add(X1,additive_identity),additive_identity,X1),
    inference(scs_inference,[],[i_0_758,i_0_28]) ).

cnf(i_0_784,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_785,plain,
    sum(additive_identity,add(additive_identity,add(X1,X2)),add(X2,X1)),
    inference(scs_inference,[],[i_0_644,i_0_563,i_0_758,i_0_28,i_0_27]) ).

cnf(i_0_786,plain,
    sum(additive_identity,add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_644]) ).

cnf(i_0_787,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_788,plain,
    equalish(add(add(X1,additive_identity),additive_identity),X1),
    inference(scs_inference,[],[i_0_30,i_0_644,i_0_563,i_0_758,i_0_28,i_0_27,i_0_26]) ).

cnf(i_0_789,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_790,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_791,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),additive_identity,X1),
    inference(scs_inference,[],[i_0_30,i_0_789,i_0_109,i_0_644,i_0_563,i_0_758,i_0_28,i_0_27,i_0_26,i_0_25]) ).

cnf(i_0_792,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_793,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_794,plain,
    ( ~ product(additive_identity,add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(a,additive_identity),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_789,i_0_792,i_0_625,i_0_109,i_0_644,i_0_563,i_0_758,i_0_28,i_0_27,i_0_26,i_0_25,i_0_19]) ).

cnf(i_0_795,plain,
    sum(additive_identity,add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_758]) ).

cnf(i_0_796,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_797,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_798,plain,
    ( ~ product(add(a,additive_identity),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_inverse(additive_identity),add(additive_identity,additive_identity),additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_789,i_0_792,i_0_625,i_0_109,i_0_644,i_0_563,i_0_758,i_0_28,i_0_27,i_0_26,i_0_25,i_0_19,i_0_172]) ).

cnf(i_0_799,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity)) ),
    inference(rename_variables,[],[i_0_172]) ).

cnf(i_0_800,plain,
    ( ~ product(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(additive_identity,additive_identity))
    | ~ product(add(a,additive_identity),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_789,i_0_792,i_0_625,i_0_109,i_0_644,i_0_563,i_0_758,i_0_28,i_0_27,i_0_26,i_0_25,i_0_19,i_0_172,i_0_700]) ).

cnf(i_0_801,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity)) ),
    inference(rename_variables,[],[i_0_700]) ).

cnf(i_0_803,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,add(X2,X3)),add(X3,X2)),
    inference(scs_inference,[],[i_0_745,i_0_28]) ).

cnf(i_0_804,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_805,plain,
    sum(additive_identity,add(additive_identity,add(additive_identity,X1)),X1),
    inference(scs_inference,[],[i_0_644,i_0_552,i_0_745,i_0_28,i_0_27]) ).

cnf(i_0_806,plain,
    sum(additive_identity,add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_644]) ).

cnf(i_0_807,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_808,plain,
    ( ~ product(add(additive_identity,add(additive_identity,a)),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_identity,add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_644,i_0_552,i_0_745,i_0_722,i_0_28,i_0_27,i_0_19]) ).

cnf(i_0_809,plain,
    sum(add(additive_identity,add(additive_identity,X1)),additive_identity,X1),
    inference(rename_variables,[],[i_0_722]) ).

cnf(i_0_810,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_811,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_813,plain,
    sum(multiply(additive_identity,X1),add(add(additive_identity,X2),multiply(additive_identity,X1)),X2),
    inference(scs_inference,[],[i_0_652,i_0_28]) ).

cnf(i_0_814,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_815,plain,
    sum(add(additive_inverse(X1),X1),multiply(additive_identity,X2),additive_identity),
    inference(scs_inference,[],[i_0_734,i_0_501,i_0_652,i_0_28,i_0_27]) ).

cnf(i_0_816,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_817,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_818,plain,
    ( ~ product(add(add(a,additive_identity),multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_identity,add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_734,i_0_501,i_0_652,i_0_791,i_0_28,i_0_27,i_0_19]) ).

cnf(i_0_819,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),additive_identity,X1),
    inference(rename_variables,[],[i_0_791]) ).

cnf(i_0_820,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_821,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_823,plain,
    sum(add(multiply(additive_identity,X1),add(X2,X3)),additive_identity,add(X3,X2)),
    inference(scs_inference,[],[i_0_748,i_0_28]) ).

cnf(i_0_824,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_825,plain,
    sum(add(additive_identity,add(X1,X2)),additive_identity,add(X2,X1)),
    inference(scs_inference,[],[i_0_598,i_0_563,i_0_748,i_0_28,i_0_27]) ).

cnf(i_0_826,plain,
    sum(add(additive_identity,X1),additive_identity,X1),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_827,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_828,plain,
    ( ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(multiply(additive_identity,X1),add(additive_identity,a)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_598,i_0_563,i_0_748,i_0_672,i_0_28,i_0_27,i_0_19]) ).

cnf(i_0_829,plain,
    sum(multiply(additive_identity,X1),add(multiply(additive_identity,X1),add(additive_identity,X2)),X2),
    inference(rename_variables,[],[i_0_672]) ).

cnf(i_0_830,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_831,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_833,plain,
    sum(a,multiply(additive_identity,X1),a),
    inference(scs_inference,[],[i_0_780,i_0_28]) ).

cnf(i_0_834,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_835,plain,
    sum(add(additive_identity,add(additive_identity,X1)),multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_646,i_0_552,i_0_780,i_0_28,i_0_27]) ).

cnf(i_0_836,plain,
    sum(add(additive_identity,X1),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_646]) ).

cnf(i_0_837,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_838,plain,
    sum(a,add(multiply(additive_identity,X1),multiply(additive_identity,X1)),a),
    inference(scs_inference,[],[i_0_30,i_0_646,i_0_552,i_0_780,i_0_28,i_0_27,i_0_24]) ).

cnf(i_0_839,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_840,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_841,plain,
    ( ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(additive_identity,add(additive_identity,a)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_839,i_0_625,i_0_646,i_0_552,i_0_780,i_0_697,i_0_28,i_0_27,i_0_24,i_0_19]) ).

cnf(i_0_842,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,add(additive_identity,X2)),X2),
    inference(rename_variables,[],[i_0_697]) ).

cnf(i_0_843,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_844,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_846,plain,
    sum(additive_identity,add(add(X1,additive_identity),multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_791,i_0_28]) ).

cnf(i_0_847,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_848,plain,
    ( ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(additive_identity,add(a,additive_identity)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_791,i_0_764,i_0_28,i_0_19]) ).

cnf(i_0_849,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,add(X2,additive_identity)),X2),
    inference(rename_variables,[],[i_0_764]) ).

cnf(i_0_850,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_851,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_853,plain,
    sum(add(multiply(additive_identity,X1),multiply(additive_identity,X1)),a,a),
    inference(scs_inference,[],[i_0_838,i_0_28]) ).

cnf(i_0_854,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_855,plain,
    sum(multiply(additive_identity,X1),add(a,multiply(additive_identity,X1)),a),
    inference(scs_inference,[],[i_0_30,i_0_36,i_0_838,i_0_28,i_0_24]) ).

cnf(i_0_856,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_857,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_858,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_859,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_860,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_862,plain,
    sum(add(multiply(additive_identity,X1),add(additive_identity,X2)),multiply(additive_identity,X1),X2),
    inference(scs_inference,[],[i_0_672,i_0_28]) ).

cnf(i_0_863,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_864,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_865,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_867,plain,
    sum(add(additive_identity,add(X1,additive_identity)),multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_764,i_0_28]) ).

cnf(i_0_868,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_869,plain,
    sum(additive_identity,add(multiply(additive_identity,X1),add(X2,additive_identity)),X2),
    inference(scs_inference,[],[i_0_30,i_0_36,i_0_764,i_0_28,i_0_24]) ).

cnf(i_0_870,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_871,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_872,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_873,plain,
    ( ~ product(additive_identity,add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(multiply(additive_identity,X1),add(a,additive_identity)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_870,i_0_625,i_0_36,i_0_764,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_874,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_875,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_876,plain,
    ( ~ product(add(multiply(additive_identity,X1),add(a,additive_identity)),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_inverse(additive_identity),add(additive_identity,additive_identity),additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_870,i_0_625,i_0_36,i_0_764,i_0_28,i_0_24,i_0_19,i_0_172]) ).

cnf(i_0_877,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity)) ),
    inference(rename_variables,[],[i_0_172]) ).

cnf(i_0_878,plain,
    ( ~ product(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(additive_identity,additive_identity))
    | ~ product(add(multiply(additive_identity,X1),add(a,additive_identity)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_870,i_0_625,i_0_36,i_0_764,i_0_28,i_0_24,i_0_19,i_0_172,i_0_700]) ).

cnf(i_0_879,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity)) ),
    inference(rename_variables,[],[i_0_700]) ).

cnf(i_0_881,plain,
    sum(add(a,multiply(additive_identity,X1)),multiply(additive_identity,X1),a),
    inference(scs_inference,[],[i_0_855,i_0_28]) ).

cnf(i_0_882,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_883,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_884,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_886,plain,
    sum(add(multiply(additive_identity,X1),add(X2,additive_identity)),additive_identity,X2),
    inference(scs_inference,[],[i_0_869,i_0_28]) ).

cnf(i_0_887,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_888,plain,
    sum(multiply(additive_identity,X1),add(X2,additive_identity),X2),
    inference(scs_inference,[],[i_0_30,i_0_35,i_0_869,i_0_28,i_0_24]) ).

cnf(i_0_889,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_890,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_891,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_892,plain,
    equalish(add(multiply(additive_identity,X1),add(X2,additive_identity)),X2),
    inference(scs_inference,[],[i_0_30,i_0_889,i_0_35,i_0_869,i_0_28,i_0_24,i_0_26]) ).

cnf(i_0_893,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_894,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_895,plain,
    ( ~ product(a,multiply(additive_identity,X1),additive_identity)
    | ~ product(a,add(add(additive_identity,additive_identity),additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_889,i_0_893,i_0_625,i_0_35,i_0_869,i_0_28,i_0_24,i_0_26,i_0_18]) ).

cnf(i_0_896,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_897,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_899,plain,
    sum(add(X1,additive_identity),multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_888,i_0_28]) ).

cnf(i_0_900,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_901,plain,
    equalish(add(add(X1,additive_identity),multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_30,i_0_888,i_0_28,i_0_26]) ).

cnf(i_0_902,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_903,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_904,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_30,i_0_902,i_0_45,i_0_888,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_905,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_906,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_907,plain,
    sum(multiply(additive_identity,X1),add(multiply(additive_identity,X1),add(X2,additive_identity)),X2),
    inference(scs_inference,[],[i_0_30,i_0_902,i_0_905,i_0_45,i_0_888,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_908,plain,
    sum(multiply(additive_identity,X1),add(X2,additive_identity),X2),
    inference(rename_variables,[],[i_0_888]) ).

cnf(i_0_909,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_910,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_911,plain,
    ( ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(a,additive_identity),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_902,i_0_905,i_0_909,i_0_45,i_0_625,i_0_888,i_0_908,i_0_28,i_0_26,i_0_25,i_0_24,i_0_19]) ).

cnf(i_0_912,plain,
    sum(multiply(additive_identity,X1),add(X2,additive_identity),X2),
    inference(rename_variables,[],[i_0_888]) ).

cnf(i_0_913,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_914,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_916,plain,
    sum(multiply(additive_identity,X1),add(add(X2,additive_identity),multiply(additive_identity,X1)),X2),
    inference(scs_inference,[],[i_0_904,i_0_28]) ).

cnf(i_0_917,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_918,plain,
    ( ~ product(add(add(a,additive_identity),multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity)
    | ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_904,i_0_28,i_0_19]) ).

cnf(i_0_919,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_904]) ).

cnf(i_0_920,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_921,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_923,plain,
    sum(add(multiply(additive_identity,X1),add(X2,additive_identity)),multiply(additive_identity,X1),X2),
    inference(scs_inference,[],[i_0_907,i_0_28]) ).

cnf(i_0_924,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_925,plain,
    ( ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(multiply(additive_identity,X1),add(a,additive_identity)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_907,i_0_28,i_0_19]) ).

cnf(i_0_926,plain,
    sum(multiply(additive_identity,X1),add(multiply(additive_identity,X1),add(X2,additive_identity)),X2),
    inference(rename_variables,[],[i_0_907]) ).

cnf(i_0_927,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_928,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_930,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_931,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_933,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_934,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_936,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_937,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_939,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_940,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_942,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_943,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_945,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_946,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_948,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_949,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_951,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(scs_inference,[],[i_0_30,i_0_646,i_0_862,i_0_24]) ).

cnf(i_0_952,plain,
    sum(add(multiply(additive_identity,X1),add(additive_identity,X2)),multiply(additive_identity,X1),X2),
    inference(rename_variables,[],[i_0_862]) ).

cnf(i_0_953,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_954,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_955,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_30,i_0_646,i_0_862,i_0_24,i_0_28]) ).

cnf(i_0_956,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_957,plain,
    equalish(add(multiply(additive_identity,X1),X2),X2),
    inference(scs_inference,[],[i_0_30,i_0_953,i_0_646,i_0_862,i_0_24,i_0_28,i_0_26]) ).

cnf(i_0_958,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_959,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_960,plain,
    sum(add(X1,multiply(additive_identity,X2)),multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_30,i_0_953,i_0_958,i_0_45,i_0_646,i_0_862,i_0_24,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_961,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_962,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_963,plain,
    ( ~ product(a,multiply(additive_identity,X1),additive_identity)
    | ~ product(a,add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_953,i_0_958,i_0_961,i_0_45,i_0_625,i_0_646,i_0_862,i_0_24,i_0_28,i_0_26,i_0_25,i_0_18]) ).

cnf(i_0_964,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_965,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_967,plain,
    sum(multiply(additive_identity,X1),add(X2,multiply(additive_identity,X1)),X2),
    inference(scs_inference,[],[i_0_960,i_0_28]) ).

cnf(i_0_968,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_969,plain,
    equalish(add(X1,multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_30,i_0_960,i_0_955,i_0_28,i_0_26]) ).

cnf(i_0_970,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_971,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_972,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_973,plain,
    sum(add(X1,additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(scs_inference,[],[i_0_30,i_0_971,i_0_85,i_0_35,i_0_960,i_0_955,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_974,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_975,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_976,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_977,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),X2),X2),
    inference(scs_inference,[],[i_0_30,i_0_971,i_0_975,i_0_85,i_0_35,i_0_34,i_0_960,i_0_955,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_978,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_979,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_980,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_981,plain,
    ( ~ product(a,add(add(additive_identity,additive_identity),multiply(additive_identity,X1)),additive_identity)
    | ~ product(a,multiply(additive_identity,X1),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_971,i_0_975,i_0_979,i_0_625,i_0_85,i_0_35,i_0_34,i_0_960,i_0_955,i_0_28,i_0_26,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_982,plain,
    sum(add(X1,multiply(additive_identity,X2)),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_960]) ).

cnf(i_0_983,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_984,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_986,plain,
    sum(add(add(X1,additive_identity),X2),additive_inverse(X1),X2),
    inference(scs_inference,[],[i_0_977,i_0_28]) ).

cnf(i_0_987,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_988,plain,
    sum(add(add(additive_identity,X1),additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(scs_inference,[],[i_0_30,i_0_85,i_0_598,i_0_977,i_0_28,i_0_25]) ).

cnf(i_0_989,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_990,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_991,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),add(additive_identity,X2)),X2),
    inference(scs_inference,[],[i_0_30,i_0_989,i_0_85,i_0_598,i_0_644,i_0_977,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_992,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_993,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_994,plain,
    ( ~ product(a,additive_inverse(X1),additive_identity)
    | ~ product(a,add(add(X1,additive_identity),add(additive_identity,additive_identity)),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_989,i_0_992,i_0_625,i_0_85,i_0_598,i_0_644,i_0_977,i_0_28,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_995,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),X2),X2),
    inference(rename_variables,[],[i_0_977]) ).

cnf(i_0_996,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_997,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_999,plain,
    sum(add(add(X1,additive_identity),add(additive_identity,X2)),additive_inverse(X1),X2),
    inference(scs_inference,[],[i_0_991,i_0_28]) ).

cnf(i_0_1000,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1001,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(scs_inference,[],[i_0_33,i_0_583,i_0_991,i_0_28,i_0_25]) ).

cnf(i_0_1002,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_1003,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1004,plain,
    sum(additive_identity,multiply(add(additive_identity,additive_identity),add(X1,X1)),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_676,i_0_33,i_0_646,i_0_583,i_0_991,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1005,plain,
    sum(add(additive_identity,X1),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_646]) ).

cnf(i_0_1006,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1007,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1008,plain,
    sum(add(X1,additive_inverse(X1)),additive_inverse(additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_676,i_0_33,i_0_646,i_0_583,i_0_501,i_0_991,i_0_28,i_0_25,i_0_24,i_0_27]) ).

cnf(i_0_1009,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_1010,plain,
    ( ~ product(a,add(add(additive_identity,additive_identity),additive_inverse(X1)),additive_identity)
    | ~ product(a,add(X1,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1006,i_0_676,i_0_625,i_0_33,i_0_646,i_0_583,i_0_501,i_0_991,i_0_973,i_0_28,i_0_25,i_0_24,i_0_27,i_0_18]) ).

cnf(i_0_1011,plain,
    sum(add(X1,additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(rename_variables,[],[i_0_973]) ).

cnf(i_0_1012,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1013,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1015,plain,
    sum(add(X1,additive_identity),add(add(additive_identity,X2),additive_inverse(X1)),X2),
    inference(scs_inference,[],[i_0_988,i_0_28]) ).

cnf(i_0_1016,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1017,plain,
    sum(additive_identity,add(add(X1,X2),additive_identity),add(X2,X1)),
    inference(scs_inference,[],[i_0_758,i_0_563,i_0_988,i_0_28,i_0_27]) ).

cnf(i_0_1018,plain,
    sum(additive_identity,add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_758]) ).

cnf(i_0_1019,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_1020,plain,
    sum(add(add(X1,additive_identity),additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(scs_inference,[],[i_0_30,i_0_85,i_0_758,i_0_783,i_0_563,i_0_988,i_0_28,i_0_27,i_0_25]) ).

cnf(i_0_1021,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1022,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1023,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),add(X2,X3)),add(X3,X2)),
    inference(scs_inference,[],[i_0_30,i_0_1021,i_0_85,i_0_613,i_0_758,i_0_783,i_0_563,i_0_988,i_0_28,i_0_27,i_0_25,i_0_24]) ).

cnf(i_0_1024,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1025,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1026,plain,
    ( ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),additive_identity)
    | ~ product(a,add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1021,i_0_1024,i_0_625,i_0_85,i_0_613,i_0_758,i_0_783,i_0_563,i_0_951,i_0_988,i_0_28,i_0_27,i_0_25,i_0_24,i_0_19]) ).

cnf(i_0_1027,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_1028,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1029,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1030,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X1,X2)),
    inference(scs_inference,[],[i_0_1001,i_0_28]) ).

cnf(i_0_1031,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1032,plain,
    sum(additive_identity,add(add(additive_identity,X1),additive_identity),X1),
    inference(scs_inference,[],[i_0_758,i_0_552,i_0_1001,i_0_28,i_0_27]) ).

cnf(i_0_1033,plain,
    sum(additive_identity,add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_758]) ).

cnf(i_0_1034,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_1035,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),add(X2,additive_identity)),X2),
    inference(scs_inference,[],[i_0_30,i_0_85,i_0_758,i_0_1033,i_0_552,i_0_1001,i_0_28,i_0_27,i_0_24]) ).

cnf(i_0_1036,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1037,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1038,plain,
    ( ~ product(add(add(X1,additive_identity),a),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_inverse(X1),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1036,i_0_625,i_0_85,i_0_758,i_0_1033,i_0_552,i_0_986,i_0_1001,i_0_28,i_0_27,i_0_24,i_0_19]) ).

cnf(i_0_1039,plain,
    sum(add(add(X1,additive_identity),X2),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_986]) ).

cnf(i_0_1040,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1041,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1042,plain,
    sum(add(X1,additive_identity),add(X2,additive_inverse(X1)),X2),
    inference(scs_inference,[],[i_0_973,i_0_28]) ).

cnf(i_0_1043,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1044,plain,
    sum(additive_inverse(additive_identity),add(X1,additive_inverse(X1)),additive_identity),
    inference(scs_inference,[],[i_0_501,i_0_973,i_0_1030,i_0_28,i_0_27]) ).

cnf(i_0_1045,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X1,X2)),
    inference(rename_variables,[],[i_0_1030]) ).

cnf(i_0_1046,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_1047,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_35,i_0_538,i_0_501,i_0_973,i_0_1030,i_0_28,i_0_27,i_0_24]) ).

cnf(i_0_1048,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1049,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_1050,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1051,plain,
    ~ product(a,multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_31,i_0_35,i_0_538,i_0_501,i_0_973,i_0_1030,i_0_28,i_0_27,i_0_24,i_0_18]) ).

cnf(i_0_1052,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1053,plain,
    ~ product(a,additive_identity,add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_30,i_0_31,i_0_35,i_0_538,i_0_501,i_0_973,i_0_1030,i_0_28,i_0_27,i_0_24,i_0_18,i_0_348]) ).

cnf(i_0_1054,plain,
    ( product(X1,multiply(X2,X3),multiply(additive_identity,X3))
    | ~ product(X1,X2,add(additive_identity,additive_identity)) ),
    inference(rename_variables,[],[i_0_348]) ).

cnf(i_0_1055,plain,
    ( ~ product(additive_identity,X1,a)
    | ~ product(X1,multiply(additive_identity,X2),add(X2,X2)) ),
    inference(scs_inference,[],[i_0_30,i_0_289,i_0_31,i_0_35,i_0_538,i_0_501,i_0_973,i_0_1030,i_0_28,i_0_27,i_0_24,i_0_18,i_0_348,i_0_23]) ).

cnf(i_0_1056,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_1057,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_1058,plain,
    ~ product(a,add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_30,i_0_289,i_0_31,i_0_295,i_0_35,i_0_29,i_0_538,i_0_501,i_0_973,i_0_1030,i_0_28,i_0_27,i_0_24,i_0_18,i_0_348,i_0_23,i_0_22]) ).

cnf(i_0_1059,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1060,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_1062,plain,
    sum(multiply(add(additive_identity,additive_identity),add(X1,X1)),additive_identity,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_1004,i_0_28]) ).

cnf(i_0_1063,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1064,plain,
    sum(add(add(X1,X2),additive_identity),additive_identity,add(X2,X1)),
    inference(scs_inference,[],[i_0_783,i_0_563,i_0_1004,i_0_28,i_0_27]) ).

cnf(i_0_1065,plain,
    sum(add(X1,additive_identity),additive_identity,X1),
    inference(rename_variables,[],[i_0_783]) ).

cnf(i_0_1066,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_1067,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_33,i_0_783,i_0_563,i_0_1004,i_0_28,i_0_27,i_0_25]) ).

cnf(i_0_1068,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_1069,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1070,plain,
    sum(add(additive_identity,X1),multiply(add(additive_identity,additive_identity),add(X2,X2)),X1),
    inference(scs_inference,[],[i_0_30,i_0_676,i_0_33,i_0_783,i_0_652,i_0_563,i_0_1004,i_0_28,i_0_27,i_0_25,i_0_24]) ).

cnf(i_0_1071,plain,
    sum(add(add(additive_identity,X1),multiply(additive_identity,X2)),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_1072,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1073,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1074,plain,
    ( ~ product(multiply(additive_identity,additive_identity),X1,a)
    | ~ product(X1,multiply(additive_identity,multiply(additive_identity,additive_identity)),add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_90,i_0_1051,i_0_676,i_0_33,i_0_783,i_0_652,i_0_563,i_0_1004,i_0_28,i_0_27,i_0_25,i_0_24,i_0_23]) ).

cnf(i_0_1075,plain,
    ~ product(a,multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1051]) ).

cnf(i_0_1076,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_1077,plain,
    ( ~ product(a,X1,additive_identity)
    | ~ product(a,additive_inverse(X1),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1072,i_0_90,i_0_1053,i_0_1051,i_0_676,i_0_33,i_0_1068,i_0_783,i_0_652,i_0_563,i_0_1004,i_0_28,i_0_27,i_0_25,i_0_24,i_0_23,i_0_18]) ).

cnf(i_0_1078,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1079,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1081,plain,
    sum(add(add(X1,additive_identity),add(X2,X3)),additive_inverse(X1),add(X3,X2)),
    inference(scs_inference,[],[i_0_1023,i_0_28]) ).

cnf(i_0_1082,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1083,plain,
    sum(add(add(additive_identity,X1),additive_identity),additive_identity,X1),
    inference(scs_inference,[],[i_0_783,i_0_552,i_0_1023,i_0_28,i_0_27]) ).

cnf(i_0_1084,plain,
    sum(add(X1,additive_identity),additive_identity,X1),
    inference(rename_variables,[],[i_0_783]) ).

cnf(i_0_1085,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_1086,plain,
    sum(add(X1,X2),add(additive_inverse(additive_identity),additive_inverse(additive_identity)),add(X1,X2)),
    inference(scs_inference,[],[i_0_30,i_0_783,i_0_552,i_0_1001,i_0_1023,i_0_28,i_0_27,i_0_24]) ).

cnf(i_0_1087,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1088,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1089,plain,
    ( ~ product(add(additive_identity,additive_identity),X1,a)
    | ~ product(X1,multiply(additive_identity,X2),X2) ),
    inference(scs_inference,[],[i_0_30,i_0_295,i_0_1051,i_0_783,i_0_552,i_0_1001,i_0_1023,i_0_28,i_0_27,i_0_24,i_0_23]) ).

cnf(i_0_1090,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_1091,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_1092,plain,
    ( ~ product(a,add(multiply(additive_identity,X1),add(additive_identity,additive_identity)),additive_identity)
    | ~ product(a,multiply(additive_identity,X1),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1087,i_0_295,i_0_1053,i_0_1051,i_0_783,i_0_552,i_0_862,i_0_1001,i_0_1023,i_0_28,i_0_27,i_0_24,i_0_23,i_0_18]) ).

cnf(i_0_1093,plain,
    sum(add(multiply(additive_identity,X1),add(additive_identity,X2)),multiply(additive_identity,X1),X2),
    inference(rename_variables,[],[i_0_862]) ).

cnf(i_0_1094,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1095,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1097,plain,
    sum(additive_inverse(additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_1067,i_0_28]) ).

cnf(i_0_1098,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1099,plain,
    sum(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X1),X1),
    inference(scs_inference,[],[i_0_30,i_0_51,i_0_951,i_0_1067,i_0_28,i_0_24]) ).

cnf(i_0_1100,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_1101,plain,
    sum(multiply(X1,additive_identity),multiply(X1,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_1102,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1103,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1104,plain,
    ( ~ product(multiply(additive_identity,additive_identity),X1,a)
    | ~ product(X1,multiply(additive_identity,multiply(additive_identity,additive_identity)),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_64,i_0_1051,i_0_51,i_0_951,i_0_1067,i_0_28,i_0_24,i_0_23]) ).

cnf(i_0_1105,plain,
    product(multiply(X1,X1),X1,multiply(X1,multiply(X1,X1))),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1106,plain,
    ~ product(a,multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1051]) ).

cnf(i_0_1107,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_1108,plain,
    ( ~ product(a,additive_inverse(add(X1,additive_identity)),additive_identity)
    | ~ product(a,X1,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1102,i_0_64,i_0_1051,i_0_1053,i_0_51,i_0_951,i_0_550,i_0_1067,i_0_28,i_0_24,i_0_23,i_0_18]) ).

cnf(i_0_1109,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1110,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1112,plain,
    sum(multiply(add(additive_identity,additive_identity),add(X1,X1)),add(additive_identity,X2),X2),
    inference(scs_inference,[],[i_0_1070,i_0_28]) ).

cnf(i_0_1113,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1114,plain,
    sum(add(X1,additive_identity),multiply(add(additive_identity,additive_identity),add(X2,X2)),X1),
    inference(scs_inference,[],[i_0_30,i_0_676,i_0_904,i_0_1070,i_0_28,i_0_24]) ).

cnf(i_0_1115,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_904]) ).

cnf(i_0_1116,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1117,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1118,plain,
    ( ~ product(additive_identity,X1,a)
    | ~ product(X1,multiply(additive_identity,X2),X2) ),
    inference(scs_inference,[],[i_0_30,i_0_1051,i_0_676,i_0_29,i_0_904,i_0_1070,i_0_28,i_0_24,i_0_23]) ).

cnf(i_0_1119,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1120,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_1121,plain,
    ( ~ product(a,multiply(additive_identity,X1),additive_identity)
    | ~ product(a,add(additive_identity,multiply(additive_identity,X1)),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1116,i_0_1051,i_0_676,i_0_1053,i_0_29,i_0_967,i_0_904,i_0_1070,i_0_28,i_0_24,i_0_23,i_0_18]) ).

cnf(i_0_1122,plain,
    sum(multiply(additive_identity,X1),add(X2,multiply(additive_identity,X1)),X2),
    inference(rename_variables,[],[i_0_967]) ).

cnf(i_0_1123,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1124,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1126,plain,
    sum(add(multiply(additive_identity,additive_identity),X1),multiply(additive_identity,additive_identity),X1),
    inference(scs_inference,[],[i_0_1099,i_0_28]) ).

cnf(i_0_1127,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1128,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,add(X1,X2)),add(X1,X2)),
    inference(scs_inference,[],[i_0_30,i_0_35,i_0_1030,i_0_1099,i_0_28,i_0_24]) ).

cnf(i_0_1129,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_1130,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1131,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1132,plain,
    ( ~ product(a,add(add(X1,additive_identity),additive_identity),additive_identity)
    | ~ product(a,additive_inverse(X1),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1130,i_0_1053,i_0_35,i_0_1030,i_0_986,i_0_1099,i_0_28,i_0_24,i_0_18]) ).

cnf(i_0_1133,plain,
    sum(add(add(X1,additive_identity),X2),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_986]) ).

cnf(i_0_1134,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1135,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1137,plain,
    sum(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),add(X1,X2),add(X1,X2)),
    inference(scs_inference,[],[i_0_1086,i_0_28]) ).

cnf(i_0_1138,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1139,plain,
    sum(multiply(additive_identity,X1),add(additive_inverse(additive_identity),additive_inverse(additive_identity)),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_1067,i_0_1086,i_0_28,i_0_24]) ).

cnf(i_0_1140,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1141,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1142,plain,
    ( ~ product(a,add(additive_identity,additive_inverse(X1)),additive_identity)
    | ~ product(a,add(X1,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1140,i_0_1053,i_0_1067,i_0_973,i_0_1086,i_0_28,i_0_24,i_0_18]) ).

cnf(i_0_1143,plain,
    sum(add(X1,additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(rename_variables,[],[i_0_973]) ).

cnf(i_0_1144,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1145,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1147,plain,
    sum(multiply(add(additive_identity,additive_identity),add(X1,X1)),add(X2,additive_identity),X2),
    inference(scs_inference,[],[i_0_1114,i_0_28]) ).

cnf(i_0_1148,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1149,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,multiply(additive_identity,X1)),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_35,i_0_1097,i_0_1114,i_0_28,i_0_24]) ).

cnf(i_0_1150,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_1151,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1152,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1153,plain,
    ( ~ product(a,multiply(additive_identity,additive_identity),additive_identity)
    | ~ product(a,add(multiply(additive_identity,additive_identity),additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1151,i_0_1053,i_0_35,i_0_1097,i_0_1099,i_0_1114,i_0_28,i_0_24,i_0_18]) ).

cnf(i_0_1154,plain,
    sum(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X1),X1),
    inference(rename_variables,[],[i_0_1099]) ).

cnf(i_0_1155,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1156,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1158,plain,
    sum(add(additive_inverse(additive_identity),additive_inverse(additive_identity)),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_1139,i_0_28]) ).

cnf(i_0_1159,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1160,plain,
    sum(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_331,i_0_1139,i_0_28,i_0_24]) ).

cnf(i_0_1161,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1162,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1163,plain,
    ( ~ product(multiply(additive_identity,X1),additive_identity,additive_identity)
    | ~ product(add(additive_identity,a),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1161,i_0_1053,i_0_331,i_0_588,i_0_1139,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1164,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_1165,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1166,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1167,plain,
    sum(add(additive_identity,add(X1,X2)),additive_inverse(additive_identity),add(X1,X2)),
    inference(scs_inference,[],[i_0_1128,i_0_28]) ).

cnf(i_0_1168,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1169,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_35,i_0_1128,i_0_1160,i_0_28,i_0_24]) ).

cnf(i_0_1170,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_1171,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1172,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1173,plain,
    ( ~ product(add(additive_identity,a),additive_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1171,i_0_1053,i_0_35,i_0_598,i_0_1128,i_0_1160,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1174,plain,
    sum(add(additive_identity,X1),additive_identity,X1),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1175,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1176,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1177,plain,
    sum(additive_identity,additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_1160,i_0_28]) ).

cnf(i_0_1178,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1179,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,add(additive_identity,additive_identity)),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_35,i_0_1160,i_0_1169,i_0_28,i_0_24]) ).

cnf(i_0_1180,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_1181,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1182,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1183,plain,
    ( ~ product(additive_identity,additive_identity,additive_identity)
    | ~ product(add(a,additive_identity),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1181,i_0_1053,i_0_35,i_0_758,i_0_1160,i_0_1169,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1184,plain,
    sum(additive_identity,add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_758]) ).

cnf(i_0_1185,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1186,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1187,plain,
    ( ~ product(add(a,additive_identity),additive_identity,additive_identity)
    | ~ product(additive_inverse(additive_identity),additive_identity,additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_30,i_0_1181,i_0_1053,i_0_35,i_0_758,i_0_1160,i_0_1169,i_0_28,i_0_24,i_0_19,i_0_172]) ).

cnf(i_0_1188,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity)) ),
    inference(rename_variables,[],[i_0_172]) ).

cnf(i_0_1189,plain,
    ( ~ product(add(additive_identity,additive_identity),additive_identity,add(additive_identity,additive_identity))
    | ~ product(add(a,additive_identity),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1181,i_0_1053,i_0_35,i_0_758,i_0_1160,i_0_1169,i_0_28,i_0_24,i_0_19,i_0_172,i_0_700]) ).

cnf(i_0_1190,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity)) ),
    inference(rename_variables,[],[i_0_700]) ).

cnf(i_0_1191,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_1193,plain,
    sum(add(additive_identity,multiply(additive_identity,X1)),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_1149,i_0_28]) ).

cnf(i_0_1194,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1195,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),additive_inverse(additive_identity)),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_30,i_0_85,i_0_1149,i_0_1177,i_0_28,i_0_24]) ).

cnf(i_0_1196,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1197,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1198,plain,
    ( ~ product(add(a,multiply(additive_identity,X1)),additive_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1196,i_0_1053,i_0_85,i_0_505,i_0_1149,i_0_1177,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1199,plain,
    sum(add(X1,multiply(additive_identity,X2)),additive_identity,X1),
    inference(rename_variables,[],[i_0_505]) ).

cnf(i_0_1200,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1201,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1202,plain,
    sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_1169,i_0_28]) ).

cnf(i_0_1203,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1204,plain,
    sum(additive_identity,additive_identity,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_339,i_0_1169,i_0_1193,i_0_28,i_0_24]) ).

cnf(i_0_1205,plain,
    sum(add(additive_identity,multiply(additive_identity,X1)),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1193]) ).

cnf(i_0_1206,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1207,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1208,plain,
    ( ~ product(add(a,additive_identity),additive_identity,additive_identity)
    | ~ product(multiply(additive_identity,X1),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1206,i_0_1053,i_0_339,i_0_899,i_0_1169,i_0_1193,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1209,plain,
    sum(add(X1,additive_identity),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_899]) ).

cnf(i_0_1210,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1211,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1212,plain,
    sum(add(add(X1,additive_identity),add(X2,additive_identity)),additive_inverse(X1),X2),
    inference(scs_inference,[],[i_0_1035,i_0_28]) ).

cnf(i_0_1213,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1214,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),additive_identity),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_30,i_0_85,i_0_1035,i_0_1204,i_0_28,i_0_24]) ).

cnf(i_0_1215,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1216,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1217,plain,
    ( ~ product(add(multiply(additive_identity,X1),add(additive_identity,a)),additive_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1215,i_0_1053,i_0_85,i_0_604,i_0_1035,i_0_1204,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1218,plain,
    sum(add(multiply(additive_identity,X1),add(additive_identity,X2)),additive_identity,X2),
    inference(rename_variables,[],[i_0_604]) ).

cnf(i_0_1219,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1220,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1221,plain,
    sum(add(X1,additive_identity),add(add(X2,additive_identity),additive_inverse(X1)),X2),
    inference(scs_inference,[],[i_0_1020,i_0_28]) ).

cnf(i_0_1222,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1223,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(multiply(additive_identity,X2),X1,multiply(additive_identity,X2)) ),
    inference(scs_inference,[],[i_0_1047,i_0_1020,i_0_28,i_0_19]) ).

cnf(i_0_1224,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1225,plain,
    ( product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity))
    | ~ product(multiply(additive_identity,X2),X1,multiply(additive_identity,X2)) ),
    inference(scs_inference,[],[i_0_30,i_0_1047,i_0_1020,i_0_28,i_0_19,i_0_1224]) ).

cnf(i_0_1226,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1227,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1228,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1229,plain,
    ( product(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
    | ~ product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X1)) ),
    inference(scs_inference,[],[i_0_30,i_0_1047,i_0_1020,i_0_28,i_0_19,i_0_1224,i_0_303]) ).

cnf(i_0_1230,plain,
    ( ~ product(X1,X1,X1)
    | product(X1,multiply(X1,X1),multiply(X1,X1)) ),
    inference(rename_variables,[],[i_0_303]) ).

cnf(i_0_1231,plain,
    ( ~ product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X1))
    | product(add(additive_identity,additive_identity),multiply(additive_identity,X2),multiply(additive_identity,add(X2,X2))) ),
    inference(scs_inference,[],[i_0_30,i_0_1047,i_0_1020,i_0_28,i_0_19,i_0_1224,i_0_303,i_0_684]) ).

cnf(i_0_1232,plain,
    ( ~ product(X1,additive_identity,add(additive_identity,additive_identity))
    | product(X1,multiply(additive_identity,X2),multiply(additive_identity,add(X2,X2))) ),
    inference(rename_variables,[],[i_0_684]) ).

cnf(i_0_1233,plain,
    ( ~ product(add(a,additive_identity),additive_identity,additive_identity)
    | ~ product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X1)) ),
    inference(scs_inference,[],[i_0_30,i_0_1047,i_0_1020,i_0_28,i_0_19,i_0_1224,i_0_303,i_0_684,i_0_1183]) ).

cnf(i_0_1234,plain,
    ( product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity))
    | ~ product(multiply(additive_identity,X2),additive_identity,multiply(additive_identity,X2)) ),
    inference(scs_inference,[],[i_0_30,i_0_1047,i_0_1020,i_0_28,i_0_19,i_0_1224,i_0_303,i_0_684,i_0_1183,i_0_301]) ).

cnf(i_0_1235,plain,
    ( ~ product(X1,X2,X1)
    | product(multiply(X3,X1),X2,multiply(X3,X1)) ),
    inference(rename_variables,[],[i_0_301]) ).

cnf(i_0_1236,plain,
    ( ~ product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X1))
    | product(additive_identity,multiply(additive_identity,X2),multiply(additive_identity,X2)) ),
    inference(scs_inference,[],[i_0_30,i_0_1047,i_0_1020,i_0_28,i_0_19,i_0_1224,i_0_303,i_0_684,i_0_1183,i_0_301,i_0_341]) ).

cnf(i_0_1237,plain,
    ( ~ product(X1,additive_identity,additive_identity)
    | product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2)) ),
    inference(rename_variables,[],[i_0_341]) ).

cnf(i_0_1238,plain,
    ( product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1))
    | ~ product(multiply(additive_identity,X2),additive_identity,multiply(additive_identity,X2)) ),
    inference(scs_inference,[],[i_0_30,i_0_1047,i_0_1020,i_0_28,i_0_19,i_0_1224,i_0_303,i_0_684,i_0_1183,i_0_301,i_0_341,i_0_69]) ).

cnf(i_0_1239,plain,
    ( ~ product(X1,X2,additive_identity)
    | product(X1,add(X2,X3),multiply(X1,X3)) ),
    inference(rename_variables,[],[i_0_69]) ).

cnf(i_0_1240,plain,
    ( product(add(additive_identity,additive_identity),add(additive_identity,X1),multiply(add(additive_identity,additive_identity),X1))
    | ~ product(multiply(additive_identity,X2),additive_identity,multiply(additive_identity,X2)) ),
    inference(scs_inference,[],[i_0_30,i_0_1047,i_0_1020,i_0_28,i_0_19,i_0_1224,i_0_303,i_0_684,i_0_1183,i_0_301,i_0_341,i_0_69,i_0_74]) ).

cnf(i_0_1241,plain,
    ( ~ product(X1,X2,additive_identity)
    | ~ product(X3,X2,additive_identity)
    | product(add(X1,X3),add(X2,X4),multiply(add(X1,X3),X4)) ),
    inference(rename_variables,[],[i_0_74]) ).

cnf(i_0_1242,plain,
    ( product(add(additive_identity,additive_identity),multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
    | ~ product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X1)) ),
    inference(scs_inference,[],[i_0_30,i_0_513,i_0_29,i_0_1047,i_0_1020,i_0_28,i_0_19,i_0_1224,i_0_303,i_0_684,i_0_1183,i_0_301,i_0_341,i_0_69,i_0_74,i_0_663,i_0_378,i_0_22]) ).

cnf(i_0_1243,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1244,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_1245,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_1246,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1247,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1248,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1249,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1250,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1251,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_1252,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_1253,plain,
    sum(add(X1,X1),add(additive_identity,additive_identity),add(X1,X1)),
    inference(rename_variables,[],[i_0_655]) ).

cnf(i_0_1254,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1255,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1257,plain,
    sum(add(additive_identity,add(additive_identity,additive_identity)),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_1179,i_0_28]) ).

cnf(i_0_1258,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1259,plain,
    ( ~ product(add(add(additive_identity,a),multiply(additive_identity,X1)),additive_identity,additive_identity)
    | ~ product(multiply(additive_identity,X1),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_652,i_0_1179,i_0_28,i_0_19]) ).

cnf(i_0_1260,plain,
    sum(add(add(additive_identity,X1),multiply(additive_identity,X2)),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_652]) ).

cnf(i_0_1261,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1262,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1263,plain,
    sum(add(add(X1,additive_identity),additive_inverse(additive_identity)),additive_inverse(X1),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_1195,i_0_28]) ).

cnf(i_0_1264,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1265,plain,
    sum(add(additive_inverse(additive_identity),additive_identity),additive_identity,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_33,i_0_1195,i_0_28,i_0_24]) ).

cnf(i_0_1266,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1267,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_1268,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1269,plain,
    ( ~ product(add(add(additive_identity,a),multiply(additive_identity,X1)),additive_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1266,i_0_1053,i_0_33,i_0_618,i_0_1195,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1270,plain,
    sum(add(add(additive_identity,X1),multiply(additive_identity,X2)),additive_identity,X1),
    inference(rename_variables,[],[i_0_618]) ).

cnf(i_0_1271,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1272,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1273,plain,
    sum(add(add(X1,additive_identity),additive_identity),additive_inverse(X1),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_1214,i_0_28]) ).

cnf(i_0_1274,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1275,plain,
    sum(add(additive_identity,additive_identity),additive_identity,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_33,i_0_1214,i_0_28,i_0_24]) ).

cnf(i_0_1276,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1277,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_1278,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1279,plain,
    ( ~ product(add(additive_identity,add(additive_identity,a)),additive_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1276,i_0_1053,i_0_33,i_0_722,i_0_1214,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1280,plain,
    sum(add(additive_identity,add(additive_identity,X1)),additive_identity,X1),
    inference(rename_variables,[],[i_0_722]) ).

cnf(i_0_1281,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1282,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1283,plain,
    sum(additive_identity,add(additive_inverse(additive_identity),additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_1265,i_0_28]) ).

cnf(i_0_1284,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1285,plain,
    sum(additive_identity,add(additive_identity,additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_30,i_0_1265,i_0_1275,i_0_28,i_0_24]) ).

cnf(i_0_1286,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1287,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1288,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1289,plain,
    sum(add(multiply(additive_identity,X1),additive_identity),X2,X2),
    inference(scs_inference,[],[i_0_30,i_0_1287,i_0_1286,i_0_588,i_0_1265,i_0_1275,i_0_28,i_0_24,i_0_25]) ).

cnf(i_0_1290,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_1291,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1292,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1293,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1294,plain,
    ( ~ product(add(add(a,additive_identity),multiply(additive_identity,X1)),additive_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1287,i_0_1291,i_0_1286,i_0_1053,i_0_588,i_0_791,i_0_1265,i_0_1275,i_0_28,i_0_24,i_0_25,i_0_19]) ).

cnf(i_0_1295,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),additive_identity,X1),
    inference(rename_variables,[],[i_0_791]) ).

cnf(i_0_1296,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1297,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1298,plain,
    sum(X1,add(multiply(additive_identity,X2),additive_identity),X1),
    inference(scs_inference,[],[i_0_1289,i_0_28]) ).

cnf(i_0_1299,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1300,plain,
    sum(multiply(additive_identity,X1),additive_identity,additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_30,i_0_33,i_0_1289,i_0_28,i_0_24]) ).

cnf(i_0_1301,plain,
    sum(add(multiply(additive_identity,X1),additive_identity),X2,X2),
    inference(rename_variables,[],[i_0_1289]) ).

cnf(i_0_1302,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1303,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_1304,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1305,plain,
    sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_30,i_0_33,i_0_1303,i_0_1289,i_0_28,i_0_24,i_0_25]) ).

cnf(i_0_1306,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_1307,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1308,plain,
    ( ~ product(multiply(additive_identity,X1),additive_identity,additive_identity)
    | ~ product(add(a,multiply(additive_identity,X1)),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1302,i_0_1053,i_0_33,i_0_1303,i_0_967,i_0_1289,i_0_28,i_0_24,i_0_25,i_0_19]) ).

cnf(i_0_1309,plain,
    sum(multiply(additive_identity,X1),add(X2,multiply(additive_identity,X1)),X2),
    inference(rename_variables,[],[i_0_967]) ).

cnf(i_0_1310,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1311,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1312,plain,
    sum(additive_identity,multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_1300,i_0_28]) ).

cnf(i_0_1313,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1314,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),add(additive_identity,additive_identity)),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_30,i_0_85,i_0_1285,i_0_1300,i_0_28,i_0_24]) ).

cnf(i_0_1315,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1316,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1317,plain,
    ( ~ product(add(additive_identity,add(additive_identity,a)),additive_identity,additive_identity)
    | ~ product(multiply(additive_identity,X1),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1315,i_0_1053,i_0_85,i_0_835,i_0_1285,i_0_1300,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1318,plain,
    sum(add(additive_identity,add(additive_identity,X1)),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_835]) ).

cnf(i_0_1319,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1320,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1321,plain,
    sum(add(add(X1,additive_identity),add(additive_identity,additive_identity)),additive_inverse(X1),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_1314,i_0_28]) ).

cnf(i_0_1322,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1323,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),multiply(additive_identity,X2)),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_30,i_0_85,i_0_1314,i_0_1312,i_0_28,i_0_24]) ).

cnf(i_0_1324,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1325,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1326,plain,
    ( ~ product(multiply(additive_identity,X1),additive_identity,additive_identity)
    | ~ product(add(additive_identity,add(a,additive_identity)),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1324,i_0_1053,i_0_85,i_0_764,i_0_1314,i_0_1312,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1327,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,add(X2,additive_identity)),X2),
    inference(rename_variables,[],[i_0_764]) ).

cnf(i_0_1328,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1329,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1330,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),additive_inverse(X1),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_1323,i_0_28]) ).

cnf(i_0_1331,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1332,plain,
    sum(add(multiply(additive_identity,X1),additive_identity),additive_identity,additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_30,i_0_33,i_0_1323,i_0_28,i_0_24]) ).

cnf(i_0_1333,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1334,plain,
    sum(X1,additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_1335,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1336,plain,
    ( ~ product(add(additive_identity,a),additive_identity,additive_identity)
    | ~ product(multiply(add(additive_identity,additive_identity),add(X1,X1)),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1333,i_0_1053,i_0_33,i_0_1070,i_0_1323,i_0_28,i_0_24,i_0_19]) ).

cnf(i_0_1337,plain,
    sum(add(additive_identity,X1),multiply(add(additive_identity,additive_identity),add(X2,X2)),X1),
    inference(rename_variables,[],[i_0_1070]) ).

cnf(i_0_1338,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1339,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1340,plain,
    sum(additive_identity,add(multiply(additive_identity,X1),additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_1332,i_0_28]) ).

cnf(i_0_1341,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1342,plain,
    ( ~ product(add(multiply(additive_identity,X1),add(additive_identity,a)),additive_identity,additive_identity)
    | ~ product(multiply(additive_identity,X1),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_862,i_0_1332,i_0_28,i_0_19]) ).

cnf(i_0_1343,plain,
    sum(add(multiply(additive_identity,X1),add(additive_identity,X2)),multiply(additive_identity,X1),X2),
    inference(rename_variables,[],[i_0_862]) ).

cnf(i_0_1344,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1345,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1346,plain,
    ( ~ product(add(multiply(additive_identity,X1),add(a,additive_identity)),additive_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_886,i_0_19]) ).

cnf(i_0_1347,plain,
    sum(add(multiply(additive_identity,X1),add(X2,additive_identity)),additive_identity,X2),
    inference(rename_variables,[],[i_0_886]) ).

cnf(i_0_1348,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1349,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1350,plain,
    ( ~ product(multiply(additive_identity,additive_identity),additive_identity,additive_identity)
    | ~ product(add(multiply(additive_identity,additive_identity),a),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_1099,i_0_19]) ).

cnf(i_0_1351,plain,
    sum(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X1),X1),
    inference(rename_variables,[],[i_0_1099]) ).

cnf(i_0_1352,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1353,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1354,plain,
    ( ~ product(add(a,additive_identity),additive_identity,additive_identity)
    | ~ product(multiply(add(additive_identity,additive_identity),add(X1,X1)),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_1114,i_0_19]) ).

cnf(i_0_1355,plain,
    sum(add(X1,additive_identity),multiply(add(additive_identity,additive_identity),add(X2,X2)),X1),
    inference(rename_variables,[],[i_0_1114]) ).

cnf(i_0_1356,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1357,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1358,plain,
    ( product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1))
    | ~ product(additive_identity,X2,additive_identity) ),
    inference(scs_inference,[],[i_0_1204,i_0_19]) ).

cnf(i_0_1359,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1360,plain,
    ( ~ product(additive_identity,additive_identity,additive_identity)
    | product(add(additive_identity,additive_identity),add(additive_identity,X1),multiply(add(additive_identity,additive_identity),X1)) ),
    inference(scs_inference,[],[i_0_1204,i_0_19,i_0_1240]) ).

cnf(i_0_1361,plain,
    ( ~ product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X1))
    | product(add(additive_identity,additive_identity),add(additive_identity,X2),multiply(add(additive_identity,additive_identity),X2)) ),
    inference(rename_variables,[],[i_0_1240]) ).

cnf(i_0_1362,plain,
    ( product(add(additive_identity,additive_identity),additive_identity,add(additive_identity,additive_identity))
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_1204,i_0_19,i_0_1240,i_0_1225]) ).

cnf(i_0_1363,plain,
    ( ~ product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1))
    | product(add(additive_identity,additive_identity),X2,add(additive_identity,additive_identity)) ),
    inference(rename_variables,[],[i_0_1225]) ).

cnf(i_0_1364,plain,
    ( ~ product(additive_identity,additive_identity,additive_identity)
    | product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,add(X1,X1))) ),
    inference(scs_inference,[],[i_0_1204,i_0_19,i_0_1240,i_0_1225,i_0_1231]) ).

cnf(i_0_1365,plain,
    ( ~ product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X1))
    | product(add(additive_identity,additive_identity),multiply(additive_identity,X2),multiply(additive_identity,add(X2,X2))) ),
    inference(rename_variables,[],[i_0_1231]) ).

cnf(i_0_1366,plain,
    ( product(add(additive_identity,additive_identity),multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_1204,i_0_19,i_0_1240,i_0_1225,i_0_1231,i_0_1242]) ).

cnf(i_0_1367,plain,
    ( ~ product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X1))
    | product(add(additive_identity,additive_identity),multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) ),
    inference(rename_variables,[],[i_0_1242]) ).

cnf(i_0_1368,plain,
    ( product(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(multiply(additive_identity,X1),multiply(additive_identity,X1)))
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_289,i_0_680,i_0_1204,i_0_19,i_0_1240,i_0_1225,i_0_1231,i_0_1242,i_0_22]) ).

cnf(i_0_1369,plain,
    product(add(additive_identity,additive_identity),add(X1,X1),add(multiply(additive_identity,X1),multiply(additive_identity,X1))),
    inference(rename_variables,[],[i_0_680]) ).

cnf(i_0_1370,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_1371,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_1373,plain,
    ( ~ product(add(add(a,additive_identity),multiply(additive_identity,X1)),additive_identity,additive_identity)
    | ~ product(multiply(additive_identity,X1),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_904,i_0_19]) ).

cnf(i_0_1374,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_904]) ).

cnf(i_0_1375,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1376,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1377,plain,
    ( ~ product(a,add(additive_identity,add(additive_identity,additive_identity)),additive_identity)
    | ~ product(a,multiply(add(additive_identity,additive_identity),add(X1,X1)),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_1070,i_0_18]) ).

cnf(i_0_1378,plain,
    sum(add(additive_identity,X1),multiply(add(additive_identity,additive_identity),add(X2,X2)),X1),
    inference(rename_variables,[],[i_0_1070]) ).

cnf(i_0_1379,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1380,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1382,plain,
    ( ~ product(add(multiply(additive_identity,X1),add(a,additive_identity)),additive_identity,additive_identity)
    | ~ product(multiply(additive_identity,X1),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_923,i_0_19]) ).

cnf(i_0_1383,plain,
    sum(add(multiply(additive_identity,X1),add(X2,additive_identity)),multiply(additive_identity,X1),X2),
    inference(rename_variables,[],[i_0_923]) ).

cnf(i_0_1384,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1385,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1386,plain,
    ( ~ product(a,add(add(additive_identity,additive_identity),additive_identity),additive_identity)
    | ~ product(a,multiply(add(additive_identity,additive_identity),add(X1,X1)),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_1114,i_0_18]) ).

cnf(i_0_1387,plain,
    sum(add(X1,additive_identity),multiply(add(additive_identity,additive_identity),add(X2,X2)),X1),
    inference(rename_variables,[],[i_0_1114]) ).

cnf(i_0_1388,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1389,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1391,plain,
    ( ~ product(add(add(X1,additive_identity),a),additive_identity,additive_identity)
    | ~ product(additive_inverse(X1),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_986,i_0_19]) ).

cnf(i_0_1392,plain,
    sum(add(add(X1,additive_identity),X2),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_986]) ).

cnf(i_0_1393,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1394,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1395,plain,
    ( ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(a,multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_967,i_0_19]) ).

cnf(i_0_1396,plain,
    sum(multiply(additive_identity,X1),add(X2,multiply(additive_identity,X1)),X2),
    inference(rename_variables,[],[i_0_967]) ).

cnf(i_0_1397,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1398,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1399,plain,
    ( ~ product(add(a,additive_inverse(X1)),additive_identity,additive_identity)
    | ~ product(add(X1,additive_identity),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_973,i_0_19]) ).

cnf(i_0_1400,plain,
    sum(add(X1,additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(rename_variables,[],[i_0_973]) ).

cnf(i_0_1401,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1402,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1403,plain,
    ( ~ product(add(additive_identity,a),add(additive_identity,additive_identity),additive_identity)
    | ~ product(multiply(add(additive_identity,additive_identity),add(X1,X1)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_1070,i_0_19]) ).

cnf(i_0_1404,plain,
    sum(add(additive_identity,X1),multiply(add(additive_identity,additive_identity),add(X2,X2)),X1),
    inference(rename_variables,[],[i_0_1070]) ).

cnf(i_0_1405,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1406,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1407,plain,
    ( product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity))
    | ~ product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_1305,i_0_19]) ).

cnf(i_0_1408,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1409,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_1411,plain,
    ( ~ product(add(add(X1,additive_identity),add(additive_identity,a)),additive_identity,additive_identity)
    | ~ product(additive_inverse(X1),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_999,i_0_19]) ).

cnf(i_0_1412,plain,
    sum(add(add(X1,additive_identity),add(additive_identity,X2)),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_999]) ).

cnf(i_0_1413,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1414,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1415,plain,
    ( ~ product(multiply(additive_identity,additive_identity),add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(multiply(additive_identity,additive_identity),a),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_1099,i_0_19]) ).

cnf(i_0_1416,plain,
    sum(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X1),X1),
    inference(rename_variables,[],[i_0_1099]) ).

cnf(i_0_1417,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1418,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1419,plain,
    ( ~ product(add(add(additive_identity,a),additive_identity),additive_identity,additive_identity)
    | ~ product(additive_identity,additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_1083,i_0_19]) ).

cnf(i_0_1420,plain,
    sum(add(add(additive_identity,X1),additive_identity),additive_identity,X1),
    inference(rename_variables,[],[i_0_1083]) ).

cnf(i_0_1421,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1422,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1423,plain,
    ( ~ product(add(a,additive_identity),add(additive_identity,additive_identity),additive_identity)
    | ~ product(multiply(add(additive_identity,additive_identity),add(X1,X1)),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_1114,i_0_19]) ).

cnf(i_0_1424,plain,
    sum(add(X1,additive_identity),multiply(add(additive_identity,additive_identity),add(X2,X2)),X1),
    inference(rename_variables,[],[i_0_1114]) ).

cnf(i_0_1425,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1426,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1427,plain,
    ( ~ product(add(add(additive_identity,a),additive_inverse(X1)),additive_identity,additive_identity)
    | ~ product(add(X1,additive_identity),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_988,i_0_19]) ).

cnf(i_0_1428,plain,
    sum(add(add(additive_identity,X1),additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(rename_variables,[],[i_0_988]) ).

cnf(i_0_1429,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1430,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1431,plain,
    ( ~ product(add(a,additive_inverse(X1)),add(additive_identity,additive_identity),additive_identity)
    | ~ product(add(X1,additive_identity),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_973,i_0_19]) ).

cnf(i_0_1432,plain,
    sum(add(X1,additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(rename_variables,[],[i_0_973]) ).

cnf(i_0_1433,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1434,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1435,plain,
    ( ~ product(add(add(a,additive_identity),additive_inverse(X1)),additive_identity,additive_identity)
    | ~ product(add(X1,additive_identity),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_1020,i_0_19]) ).

cnf(i_0_1436,plain,
    sum(add(add(X1,additive_identity),additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1437,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1438,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1439,plain,
    ( ~ product(add(add(X1,additive_identity),add(additive_identity,a)),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_inverse(X1),add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_999,i_0_19]) ).

cnf(i_0_1440,plain,
    sum(add(add(X1,additive_identity),add(additive_identity,X2)),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_999]) ).

cnf(i_0_1441,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1442,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1443,plain,
    ( ~ product(add(add(X1,additive_identity),add(a,additive_identity)),additive_identity,additive_identity)
    | ~ product(additive_inverse(X1),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_1053,i_0_1212,i_0_19]) ).

cnf(i_0_1444,plain,
    sum(add(add(X1,additive_identity),add(X2,additive_identity)),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_1212]) ).

cnf(i_0_1445,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1446,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1447,plain,
    ( ~ product(add(add(additive_identity,a),additive_identity),add(additive_identity,additive_identity),additive_identity)
    | ~ product(additive_identity,add(additive_identity,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_30,i_0_625,i_0_1083,i_0_19]) ).

cnf(i_0_1448,plain,
    sum(add(add(additive_identity,X1),additive_identity),additive_identity,X1),
    inference(rename_variables,[],[i_0_1083]) ).

cnf(i_0_1449,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1450,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1471,plain,
    equalish(additive_identity,add(X1,additive_inverse(X1))),
    inference(scs_inference,[],[i_0_32,i_0_36,i_0_26]) ).

cnf(i_0_1472,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_1473,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1474,plain,
    sum(additive_identity,add(additive_identity,add(X1,additive_identity)),X1),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_644,i_0_758,i_0_36,i_0_26,i_0_25]) ).

cnf(i_0_1475,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1476,plain,
    sum(additive_identity,add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_644]) ).

cnf(i_0_1477,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1478,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,X1),X1),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_1475,i_0_644,i_0_1476,i_0_758,i_0_36,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1479,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1480,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1481,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1482,plain,
    ~ product(a,additive_identity,additive_inverse(multiply(a,additive_identity))),
    inference(scs_inference,[],[i_0_32,i_0_1479,i_0_31,i_0_29,i_0_34,i_0_1475,i_0_1480,i_0_644,i_0_1476,i_0_758,i_0_36,i_0_26,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_1483,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1484,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1485,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1486,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1487,plain,
    ~ product(additive_identity,additive_identity,additive_inverse(multiply(a,additive_identity))),
    inference(scs_inference,[],[i_0_32,i_0_1479,i_0_1484,i_0_31,i_0_29,i_0_1485,i_0_34,i_0_1475,i_0_1480,i_0_1483,i_0_644,i_0_1476,i_0_758,i_0_36,i_0_26,i_0_25,i_0_24,i_0_18,i_0_19]) ).

cnf(i_0_1488,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1489,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1490,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1491,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1492,plain,
    sum(add(additive_identity,add(X1,additive_identity)),additive_identity,X1),
    inference(scs_inference,[],[i_0_32,i_0_1479,i_0_1484,i_0_31,i_0_29,i_0_1485,i_0_34,i_0_1475,i_0_1480,i_0_1483,i_0_644,i_0_1476,i_0_758,i_0_36,i_0_26,i_0_25,i_0_24,i_0_18,i_0_19,i_0_28]) ).

cnf(i_0_1493,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1494,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(scs_inference,[],[i_0_1478,i_0_28]) ).

cnf(i_0_1495,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1496,plain,
    equalish(multiply(additive_identity,X1),additive_identity),
    inference(scs_inference,[],[i_0_598,i_0_505,i_0_1478,i_0_28,i_0_26]) ).

cnf(i_0_1497,plain,
    sum(add(X1,multiply(additive_identity,X2)),additive_identity,X1),
    inference(rename_variables,[],[i_0_505]) ).

cnf(i_0_1498,plain,
    sum(add(additive_identity,X1),additive_identity,X1),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1499,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1500,plain,
    sum(add(X1,X2),add(additive_identity,multiply(additive_identity,X3)),add(X1,X2)),
    inference(scs_inference,[],[i_0_588,i_0_598,i_0_734,i_0_505,i_0_1478,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1501,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1502,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_1503,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1504,plain,
    sum(additive_inverse(additive_identity),add(X1,additive_identity),X1),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_588,i_0_598,i_0_758,i_0_734,i_0_505,i_0_1478,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1505,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1506,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1507,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1508,plain,
    ~ product(a,add(additive_identity,additive_identity),additive_inverse(multiply(a,additive_identity))),
    inference(scs_inference,[],[i_0_32,i_0_1505,i_0_31,i_0_29,i_0_34,i_0_588,i_0_598,i_0_1498,i_0_758,i_0_734,i_0_505,i_0_1478,i_0_28,i_0_26,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_1509,plain,
    sum(add(additive_identity,X1),additive_identity,X1),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1510,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1511,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1512,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1513,plain,
    ~ product(add(additive_identity,a),additive_identity,additive_inverse(multiply(additive_identity,additive_identity))),
    inference(scs_inference,[],[i_0_32,i_0_1505,i_0_1510,i_0_31,i_0_29,i_0_1511,i_0_34,i_0_588,i_0_598,i_0_1498,i_0_1509,i_0_758,i_0_734,i_0_505,i_0_1478,i_0_28,i_0_26,i_0_25,i_0_24,i_0_18,i_0_19]) ).

cnf(i_0_1514,plain,
    sum(add(additive_identity,X1),additive_identity,X1),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1515,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1516,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1517,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1518,plain,
    sum(add(additive_identity,multiply(additive_identity,X1)),add(X2,X3),add(X2,X3)),
    inference(scs_inference,[],[i_0_1500,i_0_28]) ).

cnf(i_0_1519,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1520,plain,
    equalish(additive_identity,additive_inverse(multiply(additive_identity,X1))),
    inference(scs_inference,[],[i_0_32,i_0_955,i_0_1500,i_0_28,i_0_26]) ).

cnf(i_0_1521,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_1522,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1523,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1524,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,multiply(additive_identity,X1)),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_32,i_0_588,i_0_955,i_0_1312,i_0_1500,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1525,plain,
    sum(additive_identity,multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_1312]) ).

cnf(i_0_1526,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_1527,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1528,plain,
    sum(add(X1,X1),multiply(add(additive_identity,additive_identity),add(X2,X2)),add(X1,X1)),
    inference(scs_inference,[],[i_0_32,i_0_676,i_0_588,i_0_734,i_0_955,i_0_1312,i_0_1500,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1529,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1530,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1531,plain,
    ~ product(a,multiply(additive_identity,X1),additive_inverse(multiply(a,additive_identity))),
    inference(scs_inference,[],[i_0_32,i_0_1522,i_0_31,i_0_676,i_0_29,i_0_588,i_0_734,i_0_955,i_0_951,i_0_1312,i_0_1500,i_0_28,i_0_26,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_1532,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_1533,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1534,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1535,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1536,plain,
    ~ product(add(a,additive_identity),additive_identity,additive_inverse(multiply(additive_identity,additive_identity))),
    inference(scs_inference,[],[i_0_32,i_0_1522,i_0_1533,i_0_31,i_0_676,i_0_29,i_0_1534,i_0_588,i_0_783,i_0_734,i_0_955,i_0_951,i_0_1312,i_0_1500,i_0_28,i_0_26,i_0_25,i_0_24,i_0_18,i_0_19]) ).

cnf(i_0_1537,plain,
    sum(add(X1,additive_identity),additive_identity,X1),
    inference(rename_variables,[],[i_0_783]) ).

cnf(i_0_1538,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1539,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1540,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1541,plain,
    sum(multiply(add(additive_identity,additive_identity),add(X1,X1)),add(X2,X2),add(X2,X2)),
    inference(scs_inference,[],[i_0_1528,i_0_28]) ).

cnf(i_0_1542,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1543,plain,
    equalish(multiply(add(additive_identity,additive_identity),add(X1,X1)),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_676,i_0_951,i_0_1528,i_0_28,i_0_26]) ).

cnf(i_0_1544,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_1545,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1546,plain,
    sum(add(X1,add(X2,additive_identity)),additive_inverse(X2),X1),
    inference(scs_inference,[],[i_0_676,i_0_34,i_0_583,i_0_951,i_0_986,i_0_1528,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1547,plain,
    sum(add(add(X1,additive_identity),X2),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_986]) ).

cnf(i_0_1548,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1549,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1550,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1551,plain,
    sum(multiply(additive_identity,X1),additive_identity,add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_676,i_0_34,i_0_588,i_0_583,i_0_951,i_0_986,i_0_1528,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1552,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(add(additive_identity,additive_identity),add(X1,X1))),
    inference(rename_variables,[],[i_0_676]) ).

cnf(i_0_1553,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_1554,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1555,plain,
    ~ product(multiply(additive_identity,X1),additive_identity,additive_inverse(multiply(a,additive_identity))),
    inference(scs_inference,[],[i_0_32,i_0_31,i_0_676,i_0_29,i_0_34,i_0_588,i_0_583,i_0_951,i_0_1544,i_0_986,i_0_1528,i_0_28,i_0_26,i_0_25,i_0_24,i_0_19]) ).

cnf(i_0_1556,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_1557,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1558,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1559,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1560,plain,
    ( ~ product(a,additive_inverse(X1),additive_inverse(X1))
    | ~ product(a,X1,X1) ),
    inference(scs_inference,[],[i_0_32,i_0_1557,i_0_31,i_0_676,i_0_29,i_0_34,i_0_588,i_0_583,i_0_951,i_0_1544,i_0_986,i_0_1528,i_0_28,i_0_26,i_0_25,i_0_24,i_0_19,i_0_18]) ).

cnf(i_0_1561,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X7,X3,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1562,plain,
    sum(add(additive_identity,multiply(additive_identity,X1)),additive_inverse(additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_1524,i_0_28]) ).

cnf(i_0_1563,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1564,plain,
    equalish(additive_identity,add(additive_inverse(X1),X1)),
    inference(scs_inference,[],[i_0_32,i_0_30,i_0_1524,i_0_28,i_0_26]) ).

cnf(i_0_1565,plain,
    sum(X1,X2,add(X1,X2)),
    inference(rename_variables,[],[i_0_30]) ).

cnf(i_0_1566,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1567,plain,
    sum(add(additive_inverse(X1),add(additive_identity,X2)),add(X1,additive_identity),X2),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_583,i_0_988,i_0_30,i_0_1524,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1568,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1569,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1570,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1571,plain,
    ~ product(a,additive_identity,additive_inverse(multiply(additive_identity,additive_identity))),
    inference(scs_inference,[],[i_0_32,i_0_31,i_0_29,i_0_34,i_0_583,i_0_988,i_0_35,i_0_30,i_0_1524,i_0_28,i_0_26,i_0_25,i_0_19]) ).

cnf(i_0_1572,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_1573,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1574,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1575,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1576,plain,
    sum(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_1551,i_0_28]) ).

cnf(i_0_1577,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1578,plain,
    sum(add(additive_inverse(X1),add(X2,additive_identity)),add(X1,additive_identity),X2),
    inference(scs_inference,[],[i_0_34,i_0_583,i_0_1020,i_0_1551,i_0_28,i_0_25]) ).

cnf(i_0_1579,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1580,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1581,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1582,plain,
    ( product(additive_identity,X1,additive_identity)
    | ~ product(additive_inverse(X2),X1,additive_inverse(X2))
    | ~ product(X2,X1,X2) ),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_583,i_0_1020,i_0_1551,i_0_28,i_0_25,i_0_19]) ).

cnf(i_0_1583,plain,
    sum(additive_inverse(X1),add(X2,add(X1,additive_identity)),X2),
    inference(scs_inference,[],[i_0_1546,i_0_28]) ).

cnf(i_0_1584,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1585,plain,
    sum(add(add(additive_identity,X1),add(X2,additive_identity)),additive_inverse(X2),X1),
    inference(scs_inference,[],[i_0_34,i_0_583,i_0_999,i_0_1546,i_0_28,i_0_25]) ).

cnf(i_0_1586,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1587,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1588,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1590,plain,
    sum(additive_inverse(X1),add(add(additive_identity,X2),add(X1,additive_identity)),X2),
    inference(scs_inference,[],[i_0_1585,i_0_28]) ).

cnf(i_0_1591,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1592,plain,
    sum(add(additive_identity,multiply(additive_identity,X1)),X2,X2),
    inference(scs_inference,[],[i_0_34,i_0_583,i_0_1289,i_0_1585,i_0_28,i_0_25]) ).

cnf(i_0_1593,plain,
    sum(add(multiply(additive_identity,X1),additive_identity),X2,X2),
    inference(rename_variables,[],[i_0_1289]) ).

cnf(i_0_1594,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1595,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1597,plain,
    sum(add(X1,additive_identity),add(additive_inverse(X1),add(additive_identity,X2)),X2),
    inference(scs_inference,[],[i_0_1567,i_0_28]) ).

cnf(i_0_1598,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1599,plain,
    sum(add(add(X1,additive_identity),add(X2,additive_identity)),additive_inverse(X2),X1),
    inference(scs_inference,[],[i_0_34,i_0_583,i_0_1212,i_0_1567,i_0_28,i_0_25]) ).

cnf(i_0_1600,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1601,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1602,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1604,plain,
    sum(additive_inverse(X1),add(add(X2,additive_identity),add(X1,additive_identity)),X2),
    inference(scs_inference,[],[i_0_1599,i_0_28]) ).

cnf(i_0_1605,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1606,plain,
    sum(additive_identity,additive_identity,additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_35,i_0_1599,i_0_28,i_0_25]) ).

cnf(i_0_1607,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_1608,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1609,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1610,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1611,plain,
    ( product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity))
    | ~ product(additive_identity,X1,additive_identity) ),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_35,i_0_1599,i_0_28,i_0_25,i_0_19]) ).

cnf(i_0_1612,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | product(X3,X7,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1613,plain,
    ( ~ product(add(additive_identity,additive_identity),additive_inverse(additive_identity),a)
    | ~ product(additive_identity,multiply(additive_identity,additive_inverse(additive_identity)),additive_identity) ),
    inference(scs_inference,[],[i_0_32,i_0_295,i_0_1051,i_0_34,i_0_35,i_0_1599,i_0_28,i_0_25,i_0_19,i_0_23]) ).

cnf(i_0_1614,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_1615,plain,
    ~ product(a,multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1051]) ).

cnf(i_0_1616,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_1618,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(scs_inference,[],[i_0_1504,i_0_28]) ).

cnf(i_0_1619,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1620,plain,
    sum(additive_identity,add(additive_inverse(additive_identity),add(additive_identity,X1)),X1),
    inference(scs_inference,[],[i_0_581,i_0_1030,i_0_1504,i_0_1597,i_0_28,i_0_25]) ).

cnf(i_0_1621,plain,
    sum(add(X1,additive_identity),add(additive_inverse(X1),add(additive_identity,X2)),X2),
    inference(rename_variables,[],[i_0_1597]) ).

cnf(i_0_1622,plain,
    sum(add(additive_identity,X1),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_581]) ).

cnf(i_0_1623,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X1,X2)),
    inference(rename_variables,[],[i_0_1030]) ).

cnf(i_0_1624,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1625,plain,
    sum(additive_inverse(additive_identity),add(additive_inverse(additive_identity),add(additive_identity,X1)),X1),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_581,i_0_1030,i_0_1504,i_0_1597,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1626,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1627,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1628,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1629,plain,
    equalish(add(additive_inverse(additive_identity),add(additive_identity,X1)),X1),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_1627,i_0_581,i_0_1030,i_0_1504,i_0_1597,i_0_28,i_0_25,i_0_24,i_0_26]) ).

cnf(i_0_1630,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1631,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1633,plain,
    sum(X1,add(additive_identity,multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_1592,i_0_28]) ).

cnf(i_0_1634,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1636,plain,
    sum(add(X1,additive_identity),add(additive_inverse(X1),add(X2,additive_identity)),X2),
    inference(scs_inference,[],[i_0_1578,i_0_28]) ).

cnf(i_0_1637,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1638,plain,
    sum(additive_identity,add(additive_inverse(additive_identity),add(X1,additive_identity)),X1),
    inference(scs_inference,[],[i_0_581,i_0_1030,i_0_1578,i_0_28,i_0_25]) ).

cnf(i_0_1639,plain,
    sum(add(additive_identity,X1),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_581]) ).

cnf(i_0_1640,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X1,X2)),
    inference(rename_variables,[],[i_0_1030]) ).

cnf(i_0_1641,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1642,plain,
    sum(additive_inverse(additive_identity),add(additive_inverse(additive_identity),add(X1,additive_identity)),X1),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_581,i_0_1030,i_0_1578,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1643,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1644,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1645,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1646,plain,
    equalish(add(additive_inverse(additive_identity),add(X1,additive_identity)),X1),
    inference(scs_inference,[],[i_0_32,i_0_34,i_0_1644,i_0_581,i_0_1030,i_0_1578,i_0_28,i_0_25,i_0_24,i_0_26]) ).

cnf(i_0_1647,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1648,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1650,plain,
    sum(add(additive_inverse(additive_identity),add(additive_identity,X1)),additive_inverse(additive_identity),X1),
    inference(scs_inference,[],[i_0_1625,i_0_28]) ).

cnf(i_0_1651,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1652,plain,
    sum(additive_identity,add(multiply(additive_identity,X1),X2),X2),
    inference(scs_inference,[],[i_0_34,i_0_613,i_0_519,i_0_1625,i_0_28,i_0_25]) ).

cnf(i_0_1653,plain,
    sum(additive_identity,add(X1,multiply(additive_identity,X2)),X1),
    inference(rename_variables,[],[i_0_519]) ).

cnf(i_0_1654,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1655,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1656,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1657,plain,
    sum(additive_inverse(additive_inverse(X1)),additive_identity,X1),
    inference(scs_inference,[],[i_0_32,i_0_573,i_0_34,i_0_613,i_0_644,i_0_519,i_0_1625,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1658,plain,
    sum(additive_identity,add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_644]) ).

cnf(i_0_1659,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1660,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1662,plain,
    sum(add(additive_inverse(additive_identity),add(X1,additive_identity)),additive_inverse(additive_identity),X1),
    inference(scs_inference,[],[i_0_1642,i_0_28]) ).

cnf(i_0_1663,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1664,plain,
    sum(additive_identity,add(additive_identity,X1),additive_inverse(additive_inverse(X1))),
    inference(scs_inference,[],[i_0_32,i_0_573,i_0_35,i_0_1642,i_0_28,i_0_25]) ).

cnf(i_0_1665,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_1666,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1667,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1668,plain,
    ( product(additive_identity,additive_inverse(additive_inverse(X1)),additive_inverse(additive_inverse(X1)))
    | ~ product(additive_inverse(X2),additive_identity,additive_inverse(X2))
    | ~ product(additive_identity,add(additive_identity,X1),add(additive_identity,X1))
    | ~ product(X2,additive_identity,X2) ),
    inference(scs_inference,[],[i_0_32,i_0_1666,i_0_573,i_0_35,i_0_1642,i_0_28,i_0_25,i_0_18,i_0_19]) ).

cnf(i_0_1669,plain,
    sum(additive_identity,additive_inverse(additive_inverse(X1)),X1),
    inference(scs_inference,[],[i_0_1657,i_0_28]) ).

cnf(i_0_1670,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1671,plain,
    sum(add(add(additive_identity,X1),additive_inverse(additive_identity)),additive_inverse(additive_identity),X1),
    inference(scs_inference,[],[i_0_34,i_0_583,i_0_1650,i_0_1657,i_0_28,i_0_25]) ).

cnf(i_0_1672,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1673,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1674,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1676,plain,
    sum(additive_inverse(additive_identity),add(add(additive_identity,X1),additive_inverse(additive_identity)),X1),
    inference(scs_inference,[],[i_0_1671,i_0_28]) ).

cnf(i_0_1677,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1678,plain,
    sum(add(add(X1,additive_identity),additive_inverse(additive_identity)),additive_inverse(additive_identity),X1),
    inference(scs_inference,[],[i_0_34,i_0_583,i_0_1662,i_0_1671,i_0_28,i_0_25]) ).

cnf(i_0_1679,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1680,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1681,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1683,plain,
    sum(additive_inverse(additive_identity),add(add(X1,additive_identity),additive_inverse(additive_identity)),X1),
    inference(scs_inference,[],[i_0_1678,i_0_28]) ).

cnf(i_0_1684,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1685,plain,
    equalish(add(additive_identity,multiply(additive_identity,X1)),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_734,i_0_1289,i_0_1678,i_0_28,i_0_26]) ).

cnf(i_0_1686,plain,
    sum(add(multiply(additive_identity,X1),additive_identity),X2,X2),
    inference(rename_variables,[],[i_0_1289]) ).

cnf(i_0_1687,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1688,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1689,plain,
    sum(add(add(additive_identity,X1),multiply(additive_identity,X2)),add(additive_identity,additive_identity),X1),
    inference(scs_inference,[],[i_0_588,i_0_734,i_0_1687,i_0_604,i_0_1289,i_0_1678,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1690,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1691,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_1692,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1693,plain,
    sum(additive_identity,add(add(X1,additive_identity),additive_identity),X1),
    inference(scs_inference,[],[i_0_34,i_0_694,i_0_588,i_0_734,i_0_1687,i_0_604,i_0_764,i_0_1289,i_0_1678,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1694,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,add(X2,additive_identity)),X2),
    inference(rename_variables,[],[i_0_764]) ).

cnf(i_0_1695,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1696,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1697,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1699,plain,
    sum(add(additive_identity,additive_identity),add(add(additive_identity,X1),multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_1689,i_0_28]) ).

cnf(i_0_1700,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1701,plain,
    sum(add(multiply(additive_identity,X1),add(additive_identity,X2)),add(additive_identity,additive_identity),X2),
    inference(scs_inference,[],[i_0_34,i_0_583,i_0_1689,i_0_28,i_0_25]) ).

cnf(i_0_1702,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1703,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1704,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1706,plain,
    sum(add(additive_identity,additive_identity),add(multiply(additive_identity,X1),add(additive_identity,X2)),X2),
    inference(scs_inference,[],[i_0_1701,i_0_28]) ).

cnf(i_0_1707,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1708,plain,
    equalish(add(add(additive_identity,X1),additive_inverse(additive_identity)),X1),
    inference(scs_inference,[],[i_0_613,i_0_1701,i_0_1620,i_0_28,i_0_26]) ).

cnf(i_0_1709,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1710,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1711,plain,
    sum(add(add(X1,additive_identity),additive_identity),additive_identity,X1),
    inference(scs_inference,[],[i_0_613,i_0_1709,i_0_598,i_0_758,i_0_1701,i_0_1620,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1712,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1713,plain,
    sum(add(additive_identity,X1),additive_identity,X1),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1714,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1715,plain,
    sum(additive_inverse(additive_identity),add(add(additive_identity,X1),multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_32,i_0_613,i_0_1709,i_0_1712,i_0_598,i_0_758,i_0_756,i_0_1701,i_0_1620,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1716,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1717,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1718,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1720,plain,
    sum(add(add(additive_identity,X1),multiply(additive_identity,X2)),additive_inverse(additive_identity),X1),
    inference(scs_inference,[],[i_0_1715,i_0_28]) ).

cnf(i_0_1721,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1722,plain,
    equalish(add(add(X1,additive_identity),additive_inverse(additive_identity)),X1),
    inference(scs_inference,[],[i_0_613,i_0_1715,i_0_1638,i_0_28,i_0_26]) ).

cnf(i_0_1723,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1724,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1725,plain,
    sum(add(multiply(additive_identity,X1),add(X2,additive_identity)),add(additive_identity,additive_identity),X2),
    inference(scs_inference,[],[i_0_613,i_0_588,i_0_734,i_0_791,i_0_1715,i_0_1638,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1726,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1727,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_1728,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1729,plain,
    sum(additive_inverse(additive_identity),add(multiply(additive_identity,X1),add(additive_identity,X2)),X2),
    inference(scs_inference,[],[i_0_32,i_0_613,i_0_1723,i_0_588,i_0_734,i_0_791,i_0_771,i_0_1715,i_0_1638,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1730,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1731,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1732,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1734,plain,
    sum(add(additive_identity,additive_identity),add(multiply(additive_identity,X1),add(X2,additive_identity)),X2),
    inference(scs_inference,[],[i_0_1725,i_0_28]) ).

cnf(i_0_1735,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1736,plain,
    sum(add(additive_inverse(X1),add(additive_identity,X2)),add(additive_identity,X1),X2),
    inference(scs_inference,[],[i_0_613,i_0_583,i_0_988,i_0_1725,i_0_28,i_0_25]) ).

cnf(i_0_1737,plain,
    sum(add(add(additive_identity,X1),additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(rename_variables,[],[i_0_988]) ).

cnf(i_0_1738,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1739,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1740,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1741,plain,
    sum(additive_inverse(additive_identity),add(multiply(additive_identity,X1),add(X2,additive_identity)),X2),
    inference(scs_inference,[],[i_0_32,i_0_613,i_0_1739,i_0_583,i_0_846,i_0_988,i_0_1725,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1742,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1743,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1744,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1746,plain,
    sum(add(additive_identity,X1),add(additive_inverse(X1),add(additive_identity,X2)),X2),
    inference(scs_inference,[],[i_0_1736,i_0_28]) ).

cnf(i_0_1747,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1748,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),add(additive_identity,additive_identity),X1),
    inference(scs_inference,[],[i_0_588,i_0_734,i_0_886,i_0_1736,i_0_28,i_0_25]) ).

cnf(i_0_1749,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1750,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,X2),X2),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_1751,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1752,plain,
    sum(additive_inverse(additive_identity),add(add(X1,additive_identity),multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_32,i_0_613,i_0_588,i_0_734,i_0_886,i_0_869,i_0_1736,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1753,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1754,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1755,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1757,plain,
    sum(add(additive_identity,additive_identity),add(add(X1,additive_identity),multiply(additive_identity,X2)),X1),
    inference(scs_inference,[],[i_0_1748,i_0_28]) ).

cnf(i_0_1758,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1759,plain,
    sum(add(additive_inverse(X1),add(X2,additive_identity)),add(additive_identity,X1),X2),
    inference(scs_inference,[],[i_0_613,i_0_583,i_0_1020,i_0_1748,i_0_28,i_0_25]) ).

cnf(i_0_1760,plain,
    sum(add(add(X1,additive_identity),additive_inverse(X2)),add(X2,additive_identity),X1),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1761,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1762,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1763,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1764,plain,
    sum(multiply(additive_identity,X1),add(X2,multiply(additive_identity,X3)),X2),
    inference(scs_inference,[],[i_0_694,i_0_613,i_0_583,i_0_1761,i_0_505,i_0_1020,i_0_1748,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1765,plain,
    sum(add(X1,multiply(additive_identity,X2)),additive_identity,X1),
    inference(rename_variables,[],[i_0_505]) ).

cnf(i_0_1766,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1767,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1768,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1770,plain,
    sum(add(additive_identity,X1),add(additive_inverse(X1),add(X2,additive_identity)),X2),
    inference(scs_inference,[],[i_0_1759,i_0_28]) ).

cnf(i_0_1771,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1772,plain,
    sum(add(add(additive_identity,X1),additive_inverse(X2)),add(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_694,i_0_734,i_0_1759,i_0_1567,i_0_28,i_0_25]) ).

cnf(i_0_1773,plain,
    sum(add(additive_inverse(X1),add(additive_identity,X2)),add(X1,additive_identity),X2),
    inference(rename_variables,[],[i_0_1567]) ).

cnf(i_0_1774,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1775,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1776,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1777,plain,
    sum(multiply(additive_identity,X1),add(multiply(additive_identity,X2),add(additive_identity,X3)),X3),
    inference(scs_inference,[],[i_0_694,i_0_1775,i_0_734,i_0_583,i_0_604,i_0_1759,i_0_1567,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1778,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1779,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1780,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1782,plain,
    sum(add(additive_identity,X1),add(add(additive_identity,X2),additive_inverse(X1)),X2),
    inference(scs_inference,[],[i_0_1772,i_0_28]) ).

cnf(i_0_1783,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1784,plain,
    equalish(add(add(additive_identity,additive_identity),X1),X1),
    inference(scs_inference,[],[i_0_1001,i_0_986,i_0_1772,i_0_28,i_0_26]) ).

cnf(i_0_1785,plain,
    sum(add(add(X1,additive_identity),X2),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_986]) ).

cnf(i_0_1786,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1787,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1788,plain,
    sum(additive_identity,add(X1,add(additive_identity,additive_identity)),X1),
    inference(scs_inference,[],[i_0_32,i_0_613,i_0_1001,i_0_986,i_0_977,i_0_1772,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1789,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),X2),X2),
    inference(rename_variables,[],[i_0_977]) ).

cnf(i_0_1790,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1791,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1792,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1793,plain,
    sum(additive_identity,add(add(additive_identity,X1),add(additive_identity,additive_identity)),X1),
    inference(scs_inference,[],[i_0_32,i_0_613,i_0_1791,i_0_1001,i_0_1786,i_0_986,i_0_977,i_0_999,i_0_1772,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1794,plain,
    sum(add(add(X1,additive_identity),add(additive_identity,X2)),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_999]) ).

cnf(i_0_1795,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1796,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1797,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1799,plain,
    sum(add(X1,multiply(additive_identity,X2)),multiply(additive_identity,X3),X1),
    inference(scs_inference,[],[i_0_1764,i_0_28]) ).

cnf(i_0_1800,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1801,plain,
    equalish(add(add(additive_identity,additive_identity),add(additive_identity,X1)),X1),
    inference(scs_inference,[],[i_0_1001,i_0_999,i_0_1764,i_0_28,i_0_26]) ).

cnf(i_0_1802,plain,
    sum(add(add(X1,additive_identity),add(additive_identity,X2)),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_999]) ).

cnf(i_0_1803,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1804,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1805,plain,
    sum(add(multiply(additive_identity,X1),add(additive_identity,X2)),multiply(additive_identity,X3),X2),
    inference(scs_inference,[],[i_0_613,i_0_734,i_0_1001,i_0_756,i_0_999,i_0_1764,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1806,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1807,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1808,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1809,plain,
    sum(multiply(additive_identity,X1),add(multiply(additive_identity,X2),additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_694,i_0_613,i_0_734,i_0_1001,i_0_1803,i_0_571,i_0_756,i_0_999,i_0_1764,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1810,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1811,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1812,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1814,plain,
    sum(add(multiply(additive_identity,X1),add(additive_identity,X2)),additive_inverse(additive_identity),X2),
    inference(scs_inference,[],[i_0_1729,i_0_28]) ).

cnf(i_0_1815,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1816,plain,
    equalish(add(add(additive_identity,additive_identity),add(X1,additive_identity)),X1),
    inference(scs_inference,[],[i_0_1001,i_0_1212,i_0_1729,i_0_28,i_0_26]) ).

cnf(i_0_1817,plain,
    sum(add(add(X1,additive_identity),add(X2,additive_identity)),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_1212]) ).

cnf(i_0_1818,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1819,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1820,plain,
    sum(add(add(additive_identity,X1),multiply(additive_identity,X2)),multiply(additive_identity,X3),X1),
    inference(scs_inference,[],[i_0_34,i_0_583,i_0_1001,i_0_1212,i_0_1805,i_0_1729,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1821,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1822,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1823,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1824,plain,
    sum(multiply(additive_identity,X1),add(add(additive_identity,additive_identity),additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_694,i_0_34,i_0_583,i_0_1001,i_0_1818,i_0_631,i_0_1212,i_0_1805,i_0_1729,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1825,plain,
    sum(add(additive_identity,add(additive_identity,X1)),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_631]) ).

cnf(i_0_1826,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1827,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1828,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1830,plain,
    sum(multiply(additive_identity,X1),add(add(additive_identity,X2),multiply(additive_identity,X3)),X2),
    inference(scs_inference,[],[i_0_1820,i_0_28]) ).

cnf(i_0_1831,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1832,plain,
    equalish(add(X1,add(additive_identity,additive_identity)),X1),
    inference(scs_inference,[],[i_0_1001,i_0_1820,i_0_1546,i_0_28,i_0_26]) ).

cnf(i_0_1833,plain,
    sum(add(X1,add(X2,additive_identity)),additive_inverse(X2),X1),
    inference(rename_variables,[],[i_0_1546]) ).

cnf(i_0_1834,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1835,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1836,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),multiply(additive_identity,X3),X1),
    inference(scs_inference,[],[i_0_613,i_0_734,i_0_1001,i_0_846,i_0_1820,i_0_1546,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1837,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1838,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1839,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1840,plain,
    sum(additive_identity,additive_identity,additive_inverse(multiply(additive_identity,X1))),
    inference(scs_inference,[],[i_0_581,i_0_613,i_0_1837,i_0_734,i_0_1001,i_0_846,i_0_1289,i_0_1820,i_0_1546,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1841,plain,
    sum(add(multiply(additive_identity,X1),additive_identity),X2,X2),
    inference(rename_variables,[],[i_0_1289]) ).

cnf(i_0_1842,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1843,plain,
    sum(add(additive_identity,X1),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_581]) ).

cnf(i_0_1844,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1846,plain,
    sum(multiply(additive_identity,X1),add(add(X2,additive_identity),multiply(additive_identity,X3)),X2),
    inference(scs_inference,[],[i_0_1836,i_0_28]) ).

cnf(i_0_1847,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1848,plain,
    equalish(add(add(additive_identity,X1),add(additive_identity,additive_identity)),X1),
    inference(scs_inference,[],[i_0_1001,i_0_1836,i_0_1585,i_0_28,i_0_26]) ).

cnf(i_0_1849,plain,
    sum(add(add(additive_identity,X1),add(X2,additive_identity)),additive_inverse(X2),X1),
    inference(rename_variables,[],[i_0_1585]) ).

cnf(i_0_1850,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1851,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1852,plain,
    sum(add(multiply(additive_identity,X1),add(X2,additive_identity)),multiply(additive_identity,X3),X2),
    inference(scs_inference,[],[i_0_34,i_0_583,i_0_1001,i_0_1836,i_0_1585,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1853,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1854,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1855,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1856,plain,
    sum(multiply(additive_identity,X1),add(multiply(additive_identity,X2),add(X3,additive_identity)),X3),
    inference(scs_inference,[],[i_0_694,i_0_34,i_0_583,i_0_1853,i_0_1001,i_0_886,i_0_1836,i_0_1585,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1857,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1858,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1859,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1861,plain,
    sum(add(multiply(additive_identity,X1),add(X2,additive_identity)),additive_inverse(additive_identity),X2),
    inference(scs_inference,[],[i_0_1741,i_0_28]) ).

cnf(i_0_1862,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1863,plain,
    equalish(add(add(X1,additive_identity),add(additive_identity,additive_identity)),X1),
    inference(scs_inference,[],[i_0_1001,i_0_1741,i_0_1599,i_0_28,i_0_26]) ).

cnf(i_0_1864,plain,
    sum(add(add(X1,additive_identity),add(X2,additive_identity)),additive_inverse(X2),X1),
    inference(rename_variables,[],[i_0_1599]) ).

cnf(i_0_1865,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1866,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1867,plain,
    sum(add(add(additive_identity,X1),additive_identity),multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_613,i_0_734,i_0_1001,i_0_1032,i_0_1741,i_0_1599,i_0_28,i_0_26,i_0_25]) ).

cnf(i_0_1868,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1869,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1870,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1871,plain,
    sum(additive_identity,add(add(X1,additive_identity),add(additive_identity,additive_identity)),X1),
    inference(scs_inference,[],[i_0_613,i_0_1868,i_0_734,i_0_1001,i_0_1865,i_0_1212,i_0_1032,i_0_1741,i_0_1599,i_0_28,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1872,plain,
    sum(add(add(X1,additive_identity),add(X2,additive_identity)),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_1212]) ).

cnf(i_0_1873,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1874,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1875,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1877,plain,
    sum(multiply(additive_identity,X1),add(add(additive_identity,X2),additive_identity),X2),
    inference(scs_inference,[],[i_0_1867,i_0_28]) ).

cnf(i_0_1878,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1879,plain,
    sum(add(add(X1,additive_identity),multiply(additive_identity,X2)),additive_inverse(additive_identity),X1),
    inference(scs_inference,[],[i_0_34,i_0_583,i_0_1867,i_0_1861,i_0_28,i_0_25]) ).

cnf(i_0_1880,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1881,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1882,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1883,plain,
    sum(multiply(additive_identity,X1),add(X2,add(additive_identity,additive_identity)),X2),
    inference(scs_inference,[],[i_0_694,i_0_34,i_0_583,i_0_1001,i_0_986,i_0_1867,i_0_1861,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1884,plain,
    sum(add(add(X1,additive_identity),X2),additive_inverse(X1),X2),
    inference(rename_variables,[],[i_0_986]) ).

cnf(i_0_1885,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1886,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1887,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1889,plain,
    sum(add(X1,add(additive_identity,additive_identity)),multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_1883,i_0_28]) ).

cnf(i_0_1890,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1891,plain,
    sum(additive_identity,add(additive_identity,multiply(additive_identity,X1)),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_32,i_0_613,i_0_1298,i_0_1883,i_0_28,i_0_25]) ).

cnf(i_0_1892,plain,
    sum(X1,add(multiply(additive_identity,X2),additive_identity),X1),
    inference(rename_variables,[],[i_0_1298]) ).

cnf(i_0_1893,plain,
    sum(additive_inverse(X1),X1,additive_identity),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_1894,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1895,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1896,plain,
    sum(additive_identity,add(add(additive_identity,additive_identity),additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_32,i_0_613,i_0_1894,i_0_1001,i_0_1257,i_0_1298,i_0_1883,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1897,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1898,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1899,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1901,plain,
    sum(add(X1,add(additive_identity,additive_identity)),additive_identity,X1),
    inference(scs_inference,[],[i_0_1788,i_0_28]) ).

cnf(i_0_1902,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1903,plain,
    sum(additive_identity,add(X1,additive_inverse(additive_identity)),X1),
    inference(scs_inference,[],[i_0_581,i_0_1030,i_0_1042,i_0_1788,i_0_28,i_0_25]) ).

cnf(i_0_1904,plain,
    sum(add(X1,additive_identity),add(X2,additive_inverse(X1)),X2),
    inference(rename_variables,[],[i_0_1042]) ).

cnf(i_0_1905,plain,
    sum(add(additive_identity,X1),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_581]) ).

cnf(i_0_1906,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X1,X2)),
    inference(rename_variables,[],[i_0_1030]) ).

cnf(i_0_1907,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1908,plain,
    sum(multiply(additive_identity,X1),add(multiply(additive_identity,additive_identity),X2),X2),
    inference(scs_inference,[],[i_0_581,i_0_694,i_0_734,i_0_1030,i_0_1126,i_0_1042,i_0_1788,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1909,plain,
    sum(add(multiply(additive_identity,additive_identity),X1),multiply(additive_identity,additive_identity),X1),
    inference(rename_variables,[],[i_0_1126]) ).

cnf(i_0_1910,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1911,plain,
    sum(add(X1,X2),multiply(additive_identity,X3),add(X2,X1)),
    inference(rename_variables,[],[i_0_734]) ).

cnf(i_0_1912,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1913,plain,
    equalish(add(additive_inverse(additive_identity),X1),X1),
    inference(scs_inference,[],[i_0_581,i_0_694,i_0_613,i_0_734,i_0_1030,i_0_1126,i_0_1042,i_0_1788,i_0_28,i_0_25,i_0_24,i_0_26]) ).

cnf(i_0_1914,plain,
    sum(additive_identity,add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_613]) ).

cnf(i_0_1915,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1917,plain,
    sum(add(multiply(additive_identity,additive_identity),X1),multiply(additive_identity,X2),X1),
    inference(scs_inference,[],[i_0_1908,i_0_28]) ).

cnf(i_0_1918,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1919,plain,
    sum(additive_identity,add(add(additive_identity,X1),additive_inverse(additive_identity)),X1),
    inference(scs_inference,[],[i_0_581,i_0_1030,i_0_1015,i_0_1908,i_0_28,i_0_25]) ).

cnf(i_0_1920,plain,
    sum(add(X1,additive_identity),add(add(additive_identity,X2),additive_inverse(X1)),X2),
    inference(rename_variables,[],[i_0_1015]) ).

cnf(i_0_1921,plain,
    sum(add(additive_identity,X1),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_581]) ).

cnf(i_0_1922,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X1,X2)),
    inference(rename_variables,[],[i_0_1030]) ).

cnf(i_0_1923,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1924,plain,
    sum(multiply(additive_identity,X1),add(add(X2,X3),multiply(additive_identity,X4)),add(X3,X2)),
    inference(scs_inference,[],[i_0_581,i_0_694,i_0_583,i_0_1030,i_0_633,i_0_1015,i_0_1908,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1925,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1926,plain,
    sum(add(X1,X2),additive_identity,add(X2,X1)),
    inference(rename_variables,[],[i_0_583]) ).

cnf(i_0_1927,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1929,plain,
    sum(add(add(X1,X2),multiply(additive_identity,X3)),multiply(additive_identity,X4),add(X2,X1)),
    inference(scs_inference,[],[i_0_1924,i_0_28]) ).

cnf(i_0_1930,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1931,plain,
    sum(additive_identity,add(add(X1,additive_identity),additive_inverse(additive_identity)),X1),
    inference(scs_inference,[],[i_0_581,i_0_1030,i_0_1221,i_0_1924,i_0_28,i_0_25]) ).

cnf(i_0_1932,plain,
    sum(add(X1,additive_identity),add(add(X2,additive_identity),additive_inverse(X1)),X2),
    inference(rename_variables,[],[i_0_1221]) ).

cnf(i_0_1933,plain,
    sum(add(additive_identity,X1),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_581]) ).

cnf(i_0_1934,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X1,X2)),
    inference(rename_variables,[],[i_0_1030]) ).

cnf(i_0_1935,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X1,X6,X4)
    | ~ sum(X6,X5,X2) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1936,plain,
    sum(additive_identity,add(add(additive_identity,additive_identity),X1),X1),
    inference(scs_inference,[],[i_0_581,i_0_34,i_0_1030,i_0_1934,i_0_977,i_0_1221,i_0_1924,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_1937,plain,
    sum(additive_inverse(X1),add(add(X1,additive_identity),X2),X2),
    inference(rename_variables,[],[i_0_977]) ).

cnf(i_0_1938,plain,
    sum(additive_identity,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_1939,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X1,X2)),
    inference(rename_variables,[],[i_0_1030]) ).

cnf(i_0_1940,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X3)
    | ~ sum(X4,X6,X1)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1942,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X2,X1)),
    inference(scs_inference,[],[i_0_1001,i_0_563,i_0_27]) ).

cnf(i_0_1943,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X1,X2)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1944,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X2,X4)
    | ~ equalish(X3,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_1945,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(scs_inference,[],[i_0_1001,i_0_563,i_0_27,i_0_28]) ).

cnf(i_0_1946,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1951,plain,
    ~ sum(add(additive_identity,additive_identity),add(additive_identity,additive_identity),a),
    inference(scs_inference,[],[i_0_31,i_0_1047,i_0_295,i_0_19]) ).

cnf(i_0_1952,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_1047]) ).

cnf(i_0_1953,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_1954,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_1955,plain,
    ( ~ sum(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X6,X5,X1)
    | ~ product(X7,X5,X2)
    | ~ sum(X6,X7,X4) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_1956,plain,
    sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_383,i_0_1618,i_0_1047,i_0_295,i_0_19,i_0_27]) ).

cnf(i_0_1957,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_1958,plain,
    ( ~ equalish(X1,X2)
    | sum(X3,X4,X2)
    | ~ sum(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_1959,plain,
    equalish(X1,add(X1,additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_383,i_0_1618,i_0_1945,i_0_1478,i_0_1047,i_0_295,i_0_19,i_0_27,i_0_26]) ).

cnf(i_0_1960,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_1478]) ).

cnf(i_0_1961,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_1945]) ).

cnf(i_0_1962,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X3,X4)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_1963,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_31,i_0_383,i_0_1618,i_0_1945,i_0_1961,i_0_1478,i_0_1047,i_0_1285,i_0_1177,i_0_295,i_0_19,i_0_27,i_0_26,i_0_25]) ).

cnf(i_0_1964,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_1945]) ).

cnf(i_0_1965,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X3,X4,X6)
    | ~ sum(X1,X5,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1966,plain,
    ~ sum(additive_identity,add(additive_identity,additive_identity),a),
    inference(scs_inference,[],[i_0_31,i_0_383,i_0_1618,i_0_1957,i_0_1945,i_0_1961,i_0_1964,i_0_1478,i_0_1047,i_0_1285,i_0_1177,i_0_295,i_0_19,i_0_27,i_0_26,i_0_25,i_0_24]) ).

cnf(i_0_1967,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_1968,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_1945]) ).

cnf(i_0_1969,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X1,X5,X6)
    | ~ sum(X3,X4,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1970,plain,
    ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_168,i_0_383,i_0_1618,i_0_1957,i_0_1945,i_0_1961,i_0_1964,i_0_1606,i_0_1478,i_0_1047,i_0_1285,i_0_1177,i_0_295,i_0_29,i_0_19,i_0_27,i_0_26,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_1971,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1972,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1973,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X6,X7)
    | ~ sum(X5,X7,X3)
    | ~ sum(X4,X6,X2) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1974,plain,
    ~ sum(add(additive_identity,additive_identity),additive_identity,a),
    inference(scs_inference,[],[i_0_31,i_0_168,i_0_383,i_0_1618,i_0_1957,i_0_1945,i_0_1961,i_0_1964,i_0_1606,i_0_1478,i_0_1047,i_0_1285,i_0_1177,i_0_295,i_0_29,i_0_19,i_0_27,i_0_26,i_0_25,i_0_24,i_0_18,i_0_28]) ).

cnf(i_0_1975,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1976,plain,
    ~ product(multiply(a,additive_identity),add(X1,X1),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_31,i_0_168,i_0_383,i_0_1618,i_0_1957,i_0_1945,i_0_1961,i_0_1964,i_0_1606,i_0_1478,i_0_1047,i_0_1285,i_0_1177,i_0_295,i_0_1051,i_0_289,i_0_29,i_0_1972,i_0_19,i_0_27,i_0_26,i_0_25,i_0_24,i_0_18,i_0_28,i_0_22]) ).

cnf(i_0_1977,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_1978,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_1979,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X3,X5)
    | ~ product(X4,X1,X6)
    | ~ product(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_1980,plain,
    ( ~ product(X1,multiply(additive_identity,additive_identity),additive_identity)
    | ~ product(X1,add(additive_identity,additive_identity),a) ),
    inference(scs_inference,[],[i_0_31,i_0_168,i_0_383,i_0_1618,i_0_1957,i_0_1945,i_0_1961,i_0_1964,i_0_1606,i_0_1478,i_0_1047,i_0_1285,i_0_1177,i_0_295,i_0_1954,i_0_1051,i_0_289,i_0_29,i_0_1972,i_0_19,i_0_27,i_0_26,i_0_25,i_0_24,i_0_18,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_1981,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_1982,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X2,X5)
    | ~ product(X6,X1,X4)
    | ~ product(X6,X3,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_1983,plain,
    ~ sum(additive_identity,multiply(additive_identity,X1),a),
    inference(scs_inference,[],[i_0_1951,i_0_1963,i_0_1576,i_0_25]) ).

cnf(i_0_1984,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_1963]) ).

cnf(i_0_1985,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X2,X5)
    | ~ sum(X6,X1,X4)
    | ~ sum(X6,X3,X5) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_1986,plain,
    ~ sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),a),
    inference(scs_inference,[],[i_0_1951,i_0_1963,i_0_1942,i_0_1576,i_0_692,i_0_25,i_0_24]) ).

cnf(i_0_1987,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X2,X1)),
    inference(rename_variables,[],[i_0_1942]) ).

cnf(i_0_1988,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(rename_variables,[],[i_0_692]) ).

cnf(i_0_1989,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ sum(X4,X1,X6)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_1990,plain,
    product(add(additive_identity,additive_identity),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_1951,i_0_1963,i_0_1942,i_0_1576,i_0_692,i_0_1988,i_0_1047,i_0_295,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_1991,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_1992,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_1993,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_1047]) ).

cnf(i_0_1994,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(rename_variables,[],[i_0_692]) ).

cnf(i_0_1995,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X3,X5,X6)
    | product(X1,X7,X6)
    | ~ sum(X2,X4,X7) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_1996,plain,
    ~ sum(multiply(additive_identity,X1),additive_identity,a),
    inference(scs_inference,[],[i_0_1951,i_0_1963,i_0_1942,i_0_1576,i_0_692,i_0_1988,i_0_1047,i_0_295,i_0_25,i_0_24,i_0_18,i_0_28]) ).

cnf(i_0_1997,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_1998,plain,
    ~ product(add(a,a),additive_identity,additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_1951,i_0_1963,i_0_1970,i_0_1942,i_0_1576,i_0_692,i_0_1988,i_0_1047,i_0_36,i_0_295,i_0_29,i_0_25,i_0_24,i_0_18,i_0_28,i_0_20]) ).

cnf(i_0_1999,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_2000,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_2001,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_2002,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X6,X5,X2)
    | ~ sum(X4,X6,X7)
    | ~ product(X7,X5,X3) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2003,plain,
    ( ~ product(add(additive_identity,additive_identity),additive_inverse(additive_identity),a)
    | ~ product(add(additive_identity,additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_1951,i_0_1963,i_0_1970,i_0_1956,i_0_1966,i_0_1942,i_0_1576,i_0_692,i_0_1988,i_0_1047,i_0_36,i_0_295,i_0_29,i_0_25,i_0_24,i_0_18,i_0_28,i_0_20,i_0_21]) ).

cnf(i_0_2004,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X4,X6,X2)
    | ~ sum(X5,X6,X7)
    | ~ product(X4,X7,X3) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2005,plain,
    ~ sum(additive_identity,additive_identity,a),
    inference(scs_inference,[],[i_0_1058,i_0_1951,i_0_1963,i_0_1970,i_0_1956,i_0_1966,i_0_1942,i_0_1576,i_0_692,i_0_1988,i_0_1047,i_0_1993,i_0_36,i_0_295,i_0_289,i_0_29,i_0_25,i_0_24,i_0_18,i_0_28,i_0_20,i_0_21,i_0_19]) ).

cnf(i_0_2006,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_2007,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_1047]) ).

cnf(i_0_2008,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | product(X6,X2,X7)
    | ~ sum(X3,X5,X7)
    | ~ sum(X1,X4,X6) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2009,plain,
    ( ~ product(add(additive_identity,additive_identity),additive_inverse(additive_identity),a)
    | ~ product(multiply(additive_identity,X1),additive_inverse(additive_identity),multiply(additive_identity,X1)) ),
    inference(scs_inference,[],[i_0_1058,i_0_1951,i_0_1963,i_0_1970,i_0_1956,i_0_1966,i_0_1942,i_0_1576,i_0_692,i_0_1988,i_0_1047,i_0_1993,i_0_36,i_0_295,i_0_289,i_0_29,i_0_25,i_0_24,i_0_18,i_0_28,i_0_20,i_0_21,i_0_19,i_0_1225]) ).

cnf(i_0_2010,plain,
    ( product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity))
    | ~ product(multiply(additive_identity,X2),X1,multiply(additive_identity,X2)) ),
    inference(rename_variables,[],[i_0_1225]) ).

cnf(i_0_2011,plain,
    ( ~ product(X1,additive_inverse(additive_identity),X1)
    | ~ product(add(additive_identity,additive_identity),additive_inverse(additive_identity),a) ),
    inference(scs_inference,[],[i_0_1058,i_0_1951,i_0_1963,i_0_1970,i_0_1956,i_0_1966,i_0_1942,i_0_1576,i_0_692,i_0_1988,i_0_1047,i_0_1993,i_0_36,i_0_295,i_0_289,i_0_29,i_0_25,i_0_24,i_0_18,i_0_28,i_0_20,i_0_21,i_0_19,i_0_1225,i_0_301]) ).

cnf(i_0_2012,plain,
    ( product(multiply(X1,X2),X3,multiply(X1,X2))
    | ~ product(X2,X3,X2) ),
    inference(rename_variables,[],[i_0_301]) ).

cnf(i_0_2014,plain,
    ~ sum(additive_inverse(additive_identity),add(additive_identity,additive_identity),a),
    inference(scs_inference,[],[i_0_1986,i_0_28]) ).

cnf(i_0_2015,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2016,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,X1),a),
    inference(scs_inference,[],[i_0_2005,i_0_1986,i_0_1494,i_0_1160,i_0_28,i_0_25]) ).

cnf(i_0_2017,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2018,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X1)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X6,X3) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2019,plain,
    ~ sum(additive_inverse(additive_identity),multiply(additive_identity,X1),a),
    inference(scs_inference,[],[i_0_2005,i_0_1986,i_0_1494,i_0_1606,i_0_955,i_0_1160,i_0_28,i_0_25,i_0_24]) ).

cnf(i_0_2020,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2021,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ sum(X4,X6,X2)
    | ~ sum(X5,X6,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2022,plain,
    ~ product(add(additive_identity,additive_identity),add(additive_identity,additive_identity),a),
    inference(scs_inference,[],[i_0_2005,i_0_1990,i_0_1986,i_0_1494,i_0_1606,i_0_692,i_0_955,i_0_1160,i_0_28,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2023,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(rename_variables,[],[i_0_692]) ).

cnf(i_0_2024,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | sum(X3,X5,X7)
    | ~ product(X6,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2025,plain,
    ~ product(add(additive_identity,additive_identity),multiply(additive_identity,X1),a),
    inference(scs_inference,[],[i_0_2005,i_0_1990,i_0_1986,i_0_1996,i_0_1494,i_0_1963,i_0_1606,i_0_692,i_0_955,i_0_1160,i_0_295,i_0_28,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2026,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_2027,plain,
    ~ sum(multiply(additive_identity,X1),additive_identity,a),
    inference(rename_variables,[],[i_0_1996]) ).

cnf(i_0_2028,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X2,X4,X6)
    | sum(X3,X5,X7)
    | ~ product(X1,X6,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2029,plain,
    product(add(additive_identity,additive_identity),add(additive_identity,additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2005,i_0_1990,i_0_1986,i_0_1996,i_0_1494,i_0_1963,i_0_1606,i_0_692,i_0_2023,i_0_955,i_0_1160,i_0_295,i_0_28,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2030,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(rename_variables,[],[i_0_692]) ).

cnf(i_0_2031,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X3,X5)
    | product(X1,X6,X5)
    | ~ product(X1,X7,X4)
    | ~ sum(X7,X2,X6) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2032,plain,
    ~ product(add(a,additive_identity),additive_identity,add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_2005,i_0_1990,i_0_1986,i_0_1996,i_0_1494,i_0_1963,i_0_1606,i_0_692,i_0_2023,i_0_899,i_0_955,i_0_1160,i_0_783,i_0_295,i_0_29,i_0_28,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2033,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_2034,plain,
    sum(add(X1,additive_identity),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_899]) ).

cnf(i_0_2035,plain,
    sum(add(X1,additive_identity),additive_identity,X1),
    inference(rename_variables,[],[i_0_783]) ).

cnf(i_0_2036,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X2,X5)
    | ~ sum(X6,X3,X5)
    | ~ product(X7,X2,X6)
    | ~ sum(X7,X1,X4) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2037,plain,
    ( ~ product(additive_identity,X1,a)
    | ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_31,i_0_2005,i_0_1990,i_0_1986,i_0_1996,i_0_1494,i_0_1963,i_0_1606,i_0_692,i_0_2023,i_0_899,i_0_955,i_0_1160,i_0_783,i_0_295,i_0_29,i_0_28,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19,i_0_22]) ).

cnf(i_0_2038,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2039,plain,
    product(multiply(additive_identity,additive_identity),add(additive_identity,additive_identity),multiply(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_2005,i_0_1990,i_0_1986,i_0_1996,i_0_1494,i_0_1963,i_0_1606,i_0_692,i_0_2023,i_0_899,i_0_955,i_0_1160,i_0_783,i_0_295,i_0_289,i_0_29,i_0_2033,i_0_28,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19,i_0_22,i_0_23]) ).

cnf(i_0_2040,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_2041,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_2042,plain,
    ( ~ product(X1,X2,X3)
    | product(X3,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ product(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2043,plain,
    product(additive_identity,add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_31,i_0_2005,i_0_1990,i_0_1986,i_0_1996,i_0_1494,i_0_1963,i_0_1606,i_0_692,i_0_2023,i_0_899,i_0_955,i_0_1160,i_0_783,i_0_295,i_0_289,i_0_29,i_0_2033,i_0_28,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19,i_0_22,i_0_23,i_0_1223]) ).

cnf(i_0_2044,plain,
    ( ~ product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1))
    | product(additive_identity,X2,additive_identity) ),
    inference(rename_variables,[],[i_0_1223]) ).

cnf(i_0_2045,plain,
    ~ product(add(additive_identity,a),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_31,i_0_2005,i_0_1990,i_0_1986,i_0_1996,i_0_1494,i_0_1963,i_0_1606,i_0_692,i_0_2023,i_0_899,i_0_955,i_0_1160,i_0_783,i_0_295,i_0_289,i_0_29,i_0_2033,i_0_28,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19,i_0_22,i_0_23,i_0_1223,i_0_659]) ).

cnf(i_0_2046,plain,
    ~ product(add(a,additive_identity),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_31,i_0_2005,i_0_1990,i_0_1986,i_0_1996,i_0_1494,i_0_1963,i_0_1606,i_0_692,i_0_2023,i_0_899,i_0_955,i_0_1160,i_0_783,i_0_295,i_0_289,i_0_29,i_0_2033,i_0_28,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19,i_0_22,i_0_23,i_0_1223,i_0_659,i_0_794]) ).

cnf(i_0_2047,plain,
    ( product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity))
    | ~ product(multiply(additive_identity,X2),X1,multiply(additive_identity,X2)) ),
    inference(rename_variables,[],[i_0_1225]) ).

cnf(i_0_2049,plain,
    ~ product(add(a,multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2043,i_0_725]) ).

cnf(i_0_2050,plain,
    ~ product(add(multiply(additive_identity,X1),add(additive_identity,a)),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2043,i_0_767]) ).

cnf(i_0_2051,plain,
    ~ product(add(add(additive_identity,a),multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2043,i_0_776]) ).

cnf(i_0_2052,plain,
    ~ product(add(additive_identity,add(additive_identity,a)),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2043,i_0_808]) ).

cnf(i_0_2053,plain,
    ~ product(add(add(a,additive_identity),multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2043,i_0_818]) ).

cnf(i_0_2054,plain,
    ~ product(add(multiply(additive_identity,X1),add(a,additive_identity)),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2043,i_0_873]) ).

cnf(i_0_2055,plain,
    ~ product(add(add(additive_identity,a),additive_identity),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2043,i_0_1447]) ).

cnf(i_0_2056,plain,
    ~ sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),a),
    inference(scs_inference,[],[i_0_2016,i_0_28]) ).

cnf(i_0_2057,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2058,plain,
    product(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2043,i_0_2016,i_0_28,i_0_527]) ).

cnf(i_0_2059,plain,
    ( ~ product(X1,X2,X1)
    | product(add(X3,X1),X2,add(X3,X1))
    | ~ product(X3,X2,X3) ),
    inference(rename_variables,[],[i_0_527]) ).

cnf(i_0_2060,plain,
    ~ product(multiply(a,additive_identity),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_31,i_0_2043,i_0_2016,i_0_29,i_0_28,i_0_527,i_0_22]) ).

cnf(i_0_2061,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_2062,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2063,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(scs_inference,[],[i_0_31,i_0_2043,i_0_2016,i_0_1576,i_0_1275,i_0_621,i_0_29,i_0_28,i_0_527,i_0_22,i_0_25]) ).

cnf(i_0_2064,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X3,X4,X6)
    | ~ sum(X1,X5,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2065,plain,
    ~ sum(additive_identity,additive_inverse(additive_identity),a),
    inference(scs_inference,[],[i_0_31,i_0_2043,i_0_2016,i_0_2019,i_0_1202,i_0_1504,i_0_1576,i_0_1275,i_0_621,i_0_29,i_0_28,i_0_527,i_0_22,i_0_25,i_0_24]) ).

cnf(i_0_2066,plain,
    sum(additive_inverse(additive_identity),add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_1504]) ).

cnf(i_0_2067,plain,
    sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1202]) ).

cnf(i_0_2068,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X1,X5,X6)
    | ~ sum(X3,X4,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2069,plain,
    ~ sum(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_31,i_0_2045,i_0_2029,i_0_2043,i_0_2016,i_0_2019,i_0_1202,i_0_1618,i_0_1504,i_0_1576,i_0_1275,i_0_621,i_0_29,i_0_28,i_0_527,i_0_22,i_0_25,i_0_24,i_0_19]) ).

cnf(i_0_2070,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_2071,plain,
    ( product(X1,X2,X3)
    | ~ sum(X4,X5,X3)
    | ~ product(X6,X2,X4)
    | ~ product(X7,X2,X5)
    | ~ sum(X6,X7,X1) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2072,plain,
    ~ product(additive_identity,add(additive_identity,additive_identity),a),
    inference(scs_inference,[],[i_0_31,i_0_2045,i_0_2029,i_0_2043,i_0_2016,i_0_2019,i_0_1202,i_0_1618,i_0_1504,i_0_1576,i_0_1275,i_0_621,i_0_29,i_0_28,i_0_527,i_0_22,i_0_25,i_0_24,i_0_19,i_0_2037]) ).

cnf(i_0_2073,plain,
    ( ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity))
    | ~ product(additive_identity,X1,a) ),
    inference(rename_variables,[],[i_0_2037]) ).

cnf(i_0_2074,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_2045,i_0_2029,i_0_2043,i_0_2016,i_0_2019,i_0_1202,i_0_1618,i_0_1504,i_0_1576,i_0_1275,i_0_621,i_0_29,i_0_28,i_0_527,i_0_22,i_0_25,i_0_24,i_0_19,i_0_2037,i_0_702]) ).

cnf(i_0_2075,plain,
    ( ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity))
    | product(multiply(X2,additive_identity),X1,multiply(X2,additive_identity)) ),
    inference(rename_variables,[],[i_0_702]) ).

cnf(i_0_2076,plain,
    ( ~ product(X1,multiply(additive_identity,additive_identity),additive_identity)
    | ~ product(X1,multiply(additive_identity,additive_identity),add(additive_identity,a)) ),
    inference(scs_inference,[],[i_0_31,i_0_2039,i_0_2045,i_0_2029,i_0_2043,i_0_2016,i_0_2019,i_0_1202,i_0_1618,i_0_1504,i_0_1576,i_0_1275,i_0_621,i_0_29,i_0_28,i_0_527,i_0_22,i_0_25,i_0_24,i_0_19,i_0_2037,i_0_702,i_0_23]) ).

cnf(i_0_2077,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ product(X6,X4,X1)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2078,plain,
    ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),a),
    inference(scs_inference,[],[i_0_31,i_0_2039,i_0_2045,i_0_1974,i_0_2029,i_0_2043,i_0_2016,i_0_2019,i_0_1202,i_0_1618,i_0_1504,i_0_1576,i_0_1275,i_0_621,i_0_29,i_0_28,i_0_527,i_0_22,i_0_25,i_0_24,i_0_19,i_0_2037,i_0_702,i_0_23,i_0_20]) ).

cnf(i_0_2079,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X2,X4,X5)
    | sum(X6,X5,X7)
    | ~ product(X1,X4,X6)
    | ~ product(X3,X4,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2080,plain,
    ~ product(add(additive_identity,additive_identity),additive_identity,a),
    inference(scs_inference,[],[i_0_31,i_0_2039,i_0_2045,i_0_1974,i_0_2029,i_0_2043,i_0_2016,i_0_2019,i_0_1202,i_0_1618,i_0_2070,i_0_1504,i_0_1576,i_0_1275,i_0_621,i_0_295,i_0_29,i_0_28,i_0_527,i_0_22,i_0_25,i_0_24,i_0_19,i_0_2037,i_0_702,i_0_23,i_0_20,i_0_21]) ).

cnf(i_0_2081,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_2082,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_2083,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,X1),a),
    inference(rename_variables,[],[i_0_2016]) ).

cnf(i_0_2084,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | sum(X6,X5,X7)
    | ~ product(X4,X1,X6)
    | ~ product(X4,X3,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2085,plain,
    ( ~ product(add(a,a),add(additive_identity,additive_identity),add(additive_identity,additive_identity))
    | ~ product(add(a,a),additive_inverse(additive_identity),additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_31,i_0_2039,i_0_2045,i_0_1974,i_0_2029,i_0_2043,i_0_2016,i_0_1998,i_0_2019,i_0_1202,i_0_1618,i_0_2070,i_0_2081,i_0_1956,i_0_1504,i_0_1576,i_0_1275,i_0_621,i_0_295,i_0_29,i_0_28,i_0_527,i_0_22,i_0_25,i_0_24,i_0_19,i_0_2037,i_0_702,i_0_23,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2086,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_2087,plain,
    ( ~ sum(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X4,X7,X2)
    | ~ sum(X6,X7,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2088,plain,
    ~ product(add(a,multiply(additive_identity,X1)),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2058,i_0_731]) ).

cnf(i_0_2089,plain,
    ~ product(add(multiply(additive_identity,X1),add(a,additive_identity)),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2058,i_0_878]) ).

cnf(i_0_2090,plain,
    ~ sum(additive_inverse(additive_identity),additive_identity,a),
    inference(scs_inference,[],[i_0_2065,i_0_28]) ).

cnf(i_0_2091,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2092,plain,
    ~ product(add(additive_identity,additive_identity),X1,a),
    inference(scs_inference,[],[i_0_2058,i_0_2025,i_0_2065,i_0_295,i_0_28,i_0_22]) ).

cnf(i_0_2093,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_2094,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X4,X3,X6)
    | ~ product(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2095,plain,
    ~ sum(additive_identity,multiply(additive_identity,X1),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2058,i_0_2069,i_0_2025,i_0_2065,i_0_1963,i_0_1576,i_0_295,i_0_28,i_0_22,i_0_25]) ).

cnf(i_0_2096,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_1963]) ).

cnf(i_0_2097,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X2,X5)
    | ~ sum(X6,X1,X4)
    | ~ sum(X6,X3,X5) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2098,plain,
    ~ sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2058,i_0_2069,i_0_2025,i_0_2065,i_0_1942,i_0_1963,i_0_1576,i_0_692,i_0_295,i_0_28,i_0_22,i_0_25,i_0_24]) ).

cnf(i_0_2099,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X2,X1)),
    inference(rename_variables,[],[i_0_1942]) ).

cnf(i_0_2100,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(rename_variables,[],[i_0_692]) ).

cnf(i_0_2101,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ sum(X4,X1,X6)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2102,plain,
    ~ product(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2058,i_0_2069,i_0_2025,i_0_2065,i_0_1942,i_0_1963,i_0_1576,i_0_692,i_0_2100,i_0_295,i_0_28,i_0_22,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2103,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(rename_variables,[],[i_0_692]) ).

cnf(i_0_2104,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ product(X6,X2,X4)
    | ~ sum(X6,X1,X7)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2105,plain,
    ~ product(additive_identity,add(X1,X1),a),
    inference(scs_inference,[],[i_0_2058,i_0_2069,i_0_2025,i_0_1983,i_0_2065,i_0_1942,i_0_1963,i_0_1576,i_0_692,i_0_2100,i_0_2103,i_0_2043,i_0_295,i_0_289,i_0_28,i_0_22,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2106,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_2107,plain,
    ~ sum(additive_identity,multiply(additive_identity,X1),a),
    inference(rename_variables,[],[i_0_1983]) ).

cnf(i_0_2108,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ product(X1,X6,X4)
    | ~ sum(X6,X2,X7)
    | ~ product(X1,X7,X5) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2109,plain,
    ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2058,i_0_2069,i_0_2060,i_0_2074,i_0_2025,i_0_1983,i_0_2065,i_0_1942,i_0_1963,i_0_1576,i_0_692,i_0_2100,i_0_2103,i_0_2043,i_0_295,i_0_289,i_0_28,i_0_22,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2110,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2111,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2112,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(rename_variables,[],[i_0_692]) ).

cnf(i_0_2113,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X6,X7)
    | ~ sum(X5,X7,X3)
    | ~ sum(X4,X6,X2) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2114,plain,
    ~ sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2046,i_0_2058,i_0_2069,i_0_2060,i_0_2074,i_0_2111,i_0_2025,i_0_2063,i_0_1983,i_0_2065,i_0_1942,i_0_1963,i_0_1576,i_0_692,i_0_2100,i_0_2103,i_0_2043,i_0_295,i_0_289,i_0_28,i_0_22,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2115,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2063]) ).

cnf(i_0_2116,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2117,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2118,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X6,X5,X2)
    | product(X7,X5,X3)
    | ~ sum(X4,X6,X7) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2119,plain,
    ( ~ product(add(additive_identity,additive_identity),add(additive_identity,a),add(additive_identity,a))
    | ~ product(add(additive_identity,additive_identity),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_2046,i_0_2058,i_0_2069,i_0_2060,i_0_2074,i_0_2111,i_0_2025,i_0_2063,i_0_1983,i_0_2065,i_0_1942,i_0_1963,i_0_1576,i_0_692,i_0_2100,i_0_2103,i_0_2043,i_0_295,i_0_289,i_0_28,i_0_22,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19,i_0_663]) ).

cnf(i_0_2120,plain,
    ( product(X1,a,a)
    | ~ product(X1,add(additive_identity,a),add(additive_identity,a))
    | ~ product(X1,additive_identity,additive_identity) ),
    inference(rename_variables,[],[i_0_663]) ).

cnf(i_0_2121,plain,
    ~ sum(additive_inverse(additive_identity),add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2098,i_0_28]) ).

cnf(i_0_2122,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2123,plain,
    ~ sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),a),
    inference(scs_inference,[],[i_0_2114,i_0_1959,i_0_2098,i_0_28,i_0_27]) ).

cnf(i_0_2124,plain,
    equalish(X1,add(X1,additive_identity)),
    inference(rename_variables,[],[i_0_1959]) ).

cnf(i_0_2125,plain,
    ( ~ equalish(X1,X2)
    | sum(X3,X4,X2)
    | ~ sum(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_2126,plain,
    equalish(X1,add(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2114,i_0_1959,i_0_2098,i_0_1945,i_0_1504,i_0_28,i_0_27,i_0_26]) ).

cnf(i_0_2127,plain,
    sum(additive_inverse(additive_identity),add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_1504]) ).

cnf(i_0_2128,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_1945]) ).

cnf(i_0_2129,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X3,X4)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_2130,plain,
    ~ product(additive_inverse(additive_identity),add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2102,i_0_2114,i_0_1959,i_0_2098,i_0_2029,i_0_1945,i_0_2058,i_0_1504,i_0_28,i_0_27,i_0_26,i_0_22]) ).

cnf(i_0_2131,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2132,plain,
    ~ product(add(additive_identity,additive_identity),additive_inverse(additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2102,i_0_2114,i_0_1959,i_0_2098,i_0_2029,i_0_1945,i_0_2058,i_0_1504,i_0_28,i_0_27,i_0_26,i_0_22,i_0_23]) ).

cnf(i_0_2133,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X5,X2,X6)
    | ~ product(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2134,plain,
    ~ sum(multiply(additive_identity,X1),additive_identity,add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2102,i_0_2114,i_0_1959,i_0_2098,i_0_2095,i_0_2029,i_0_2063,i_0_1945,i_0_2058,i_0_1504,i_0_28,i_0_27,i_0_26,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2135,plain,
    ~ sum(additive_identity,multiply(additive_identity,X1),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2095]) ).

cnf(i_0_2136,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2063]) ).

cnf(i_0_2137,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2063]) ).

cnf(i_0_2138,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X1)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X6,X3) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2139,plain,
    ~ sum(additive_identity,additive_inverse(additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2102,i_0_2114,i_0_1959,i_0_2098,i_0_2095,i_0_2029,i_0_2063,i_0_1494,i_0_1945,i_0_1305,i_0_2058,i_0_1504,i_0_28,i_0_27,i_0_26,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2140,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2141,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ sum(X4,X6,X2)
    | ~ sum(X5,X6,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2142,plain,
    ~ product(additive_identity,add(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2102,i_0_2114,i_0_1959,i_0_2098,i_0_2095,i_0_2029,i_0_2063,i_0_2137,i_0_1494,i_0_1945,i_0_1305,i_0_2074,i_0_2058,i_0_1504,i_0_28,i_0_27,i_0_26,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2143,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2144,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2063]) ).

cnf(i_0_2145,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2146,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ sum(X4,X6,X7)
    | ~ product(X6,X5,X2)
    | ~ product(X7,X5,X3) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2147,plain,
    ~ product(additive_identity,additive_identity,add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2102,i_0_2114,i_0_1959,i_0_2098,i_0_2095,i_0_2135,i_0_2029,i_0_2063,i_0_2137,i_0_1494,i_0_2140,i_0_1945,i_0_1305,i_0_2074,i_0_2058,i_0_1504,i_0_2043,i_0_29,i_0_28,i_0_27,i_0_26,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2148,plain,
    ~ sum(additive_identity,multiply(additive_identity,X1),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2095]) ).

cnf(i_0_2149,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2150,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_2151,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ sum(X5,X6,X7)
    | ~ product(X4,X6,X2)
    | ~ product(X4,X7,X3) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2152,plain,
    product(add(additive_identity,additive_identity),additive_identity,additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2102,i_0_2114,i_0_1959,i_0_2098,i_0_2095,i_0_2135,i_0_2029,i_0_2063,i_0_2137,i_0_1494,i_0_2140,i_0_1945,i_0_1305,i_0_2074,i_0_2058,i_0_1504,i_0_621,i_0_2043,i_0_29,i_0_28,i_0_27,i_0_26,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2153,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X3,X5,X6)
    | product(X1,X7,X6)
    | ~ sum(X2,X4,X7) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2154,plain,
    ~ sum(additive_inverse(additive_identity),additive_inverse(additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2102,i_0_2114,i_0_1959,i_0_2098,i_0_2095,i_0_2135,i_0_2029,i_0_2063,i_0_2137,i_0_1494,i_0_2140,i_0_1945,i_0_1305,i_0_2074,i_0_2058,i_0_1504,i_0_621,i_0_692,i_0_2043,i_0_29,i_0_28,i_0_27,i_0_26,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2155,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(rename_variables,[],[i_0_692]) ).

cnf(i_0_2156,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | product(X6,X2,X7)
    | ~ sum(X3,X5,X7)
    | ~ sum(X1,X4,X6) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2157,plain,
    ~ sum(additive_inverse(additive_identity),additive_identity,add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2139,i_0_28]) ).

cnf(i_0_2158,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2159,plain,
    ~ product(add(additive_identity,additive_identity),additive_identity,add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2132,i_0_2139,i_0_2152,i_0_2058,i_0_28,i_0_22]) ).

cnf(i_0_2160,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2161,plain,
    ~ product(add(additive_identity,additive_identity),additive_identity,add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2132,i_0_2142,i_0_2139,i_0_2152,i_0_2058,i_0_1990,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2162,plain,
    ( ~ product(X1,X2,X3)
    | product(X3,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ product(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2163,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),a),
    inference(scs_inference,[],[i_0_2132,i_0_2142,i_0_2139,i_0_2152,i_0_1974,i_0_1551,i_0_1204,i_0_2058,i_0_1990,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2164,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X3,X4,X6)
    | ~ sum(X1,X5,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2165,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2132,i_0_2142,i_0_2139,i_0_2152,i_0_1974,i_0_2095,i_0_1551,i_0_1202,i_0_1204,i_0_1285,i_0_2058,i_0_1990,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2166,plain,
    sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1202]) ).

cnf(i_0_2167,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X1,X5,X6)
    | ~ sum(X3,X4,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2168,plain,
    ~ product(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2154,i_0_2132,i_0_2142,i_0_2139,i_0_2152,i_0_1974,i_0_2095,i_0_1551,i_0_1202,i_0_1204,i_0_1285,i_0_2058,i_0_1990,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21]) ).

cnf(i_0_2169,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | ~ product(X1,X4,X6)
    | sum(X3,X6,X7)
    | ~ product(X1,X5,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2170,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_identity),
    inference(scs_inference,[],[i_0_2154,i_0_2132,i_0_2142,i_0_2139,i_0_2152,i_0_1974,i_0_2095,i_0_1551,i_0_1202,i_0_1478,i_0_1204,i_0_1285,i_0_2058,i_0_1990,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18]) ).

cnf(i_0_2171,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_1478]) ).

cnf(i_0_2172,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X3,X5)
    | product(X1,X6,X5)
    | ~ product(X1,X7,X4)
    | ~ sum(X7,X2,X6) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2173,plain,
    ~ sum(additive_identity,add(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_1976,i_0_2154,i_0_2132,i_0_2142,i_0_2139,i_0_2152,i_0_1974,i_0_2095,i_0_1551,i_0_1202,i_0_1478,i_0_1204,i_0_1285,i_0_2058,i_0_2043,i_0_1990,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2174,plain,
    ~ product(multiply(a,additive_identity),add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1976]) ).

cnf(i_0_2175,plain,
    sum(additive_identity,add(additive_identity,additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1285]) ).

cnf(i_0_2176,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X2,X5)
    | ~ sum(X6,X3,X5)
    | ~ product(X7,X2,X6)
    | ~ sum(X7,X1,X4) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2177,plain,
    ~ product(additive_inverse(additive_identity),add(additive_identity,additive_identity),a),
    inference(scs_inference,[],[i_0_1976,i_0_2154,i_0_2132,i_0_2142,i_0_2139,i_0_2152,i_0_1974,i_0_2095,i_0_1551,i_0_1202,i_0_1478,i_0_1204,i_0_1285,i_0_2005,i_0_2058,i_0_1606,i_0_2043,i_0_1990,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_19,i_0_20]) ).

cnf(i_0_2178,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X2,X4,X6)
    | sum(X5,X6,X7)
    | ~ product(X3,X4,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2179,plain,
    ~ sum(additive_inverse(additive_identity),multiply(additive_identity,X1),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2165,i_0_28]) ).

cnf(i_0_2180,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2181,plain,
    ~ product(additive_identity,add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2168,i_0_2165,i_0_2170,i_0_2074,i_0_28,i_0_22]) ).

cnf(i_0_2182,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2183,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_2170]) ).

cnf(i_0_2184,plain,
    ~ product(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2168]) ).

cnf(i_0_2185,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X4,X3,X6)
    | ~ product(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2186,plain,
    ~ product(add(additive_identity,additive_identity),additive_inverse(additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2168,i_0_2165,i_0_2161,i_0_2170,i_0_2152,i_0_2074,i_0_2058,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2187,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ product(X6,X4,X1)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2188,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2168,i_0_2165,i_0_2161,i_0_2170,i_0_1177,i_0_2152,i_0_1275,i_0_2074,i_0_2058,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2189,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(additive_identity),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2165]) ).

cnf(i_0_2190,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X2,X5)
    | ~ sum(X6,X1,X4)
    | ~ sum(X6,X3,X5) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2191,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(additive_identity),a),
    inference(scs_inference,[],[i_0_2090,i_0_2168,i_0_2165,i_0_2161,i_0_2170,i_0_339,i_0_1097,i_0_1177,i_0_2152,i_0_1275,i_0_2074,i_0_2058,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2192,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),additive_identity),
    inference(rename_variables,[],[i_0_339]) ).

cnf(i_0_2193,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ sum(X4,X1,X6)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2194,plain,
    ~ product(additive_inverse(additive_identity),add(X1,X1),a),
    inference(scs_inference,[],[i_0_2090,i_0_2168,i_0_2165,i_0_2161,i_0_2170,i_0_2163,i_0_339,i_0_1097,i_0_1177,i_0_2152,i_0_1275,i_0_2074,i_0_1606,i_0_2058,i_0_289,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2195,plain,
    product(additive_identity,add(X1,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_289]) ).

cnf(i_0_2196,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),a),
    inference(rename_variables,[],[i_0_2163]) ).

cnf(i_0_2197,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | sum(X3,X5,X6)
    | ~ sum(X1,X4,X7)
    | ~ product(X7,X2,X6) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2198,plain,
    ~ product(multiply(a,additive_identity),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2090,i_0_2168,i_0_2165,i_0_2109,i_0_2161,i_0_2170,i_0_2163,i_0_339,i_0_1097,i_0_1177,i_0_2152,i_0_1275,i_0_621,i_0_2074,i_0_2182,i_0_1606,i_0_2058,i_0_289,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2199,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2200,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2201,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | sum(X6,X5,X7)
    | ~ product(X4,X1,X6)
    | ~ product(X4,X3,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2202,plain,
    ~ product(additive_inverse(additive_identity),additive_identity,add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2090,i_0_2168,i_0_2165,i_0_2092,i_0_2109,i_0_2161,i_0_2170,i_0_2163,i_0_339,i_0_1097,i_0_1618,i_0_1945,i_0_1177,i_0_2152,i_0_1275,i_0_621,i_0_2074,i_0_2182,i_0_1606,i_0_2058,i_0_289,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_19]) ).

cnf(i_0_2203,plain,
    ~ product(add(additive_identity,additive_identity),X1,a),
    inference(rename_variables,[],[i_0_2092]) ).

cnf(i_0_2204,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_2205,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_1945]) ).

cnf(i_0_2206,plain,
    ( product(X1,X2,X3)
    | ~ sum(X4,X5,X3)
    | ~ product(X6,X2,X4)
    | ~ product(X7,X2,X5)
    | ~ sum(X6,X7,X1) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2207,plain,
    ( ~ product(add(a,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2))
    | ~ product(add(a,additive_identity),additive_inverse(additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_2090,i_0_2168,i_0_2165,i_0_2032,i_0_2092,i_0_2109,i_0_2161,i_0_2170,i_0_2163,i_0_339,i_0_2192,i_0_1097,i_0_1618,i_0_1945,i_0_1551,i_0_1177,i_0_2152,i_0_1275,i_0_621,i_0_2074,i_0_2182,i_0_1606,i_0_2058,i_0_289,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_19,i_0_18]) ).

cnf(i_0_2208,plain,
    ( ~ sum(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X4,X7,X2)
    | ~ sum(X6,X7,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2209,plain,
    ( ~ product(add(a,additive_identity),additive_inverse(additive_identity),additive_identity)
    | ~ product(add(a,additive_identity),additive_identity,additive_identity) ),
    inference(scs_inference,[],[i_0_2090,i_0_2168,i_0_2165,i_0_2032,i_0_2092,i_0_2109,i_0_2161,i_0_2170,i_0_2163,i_0_339,i_0_2192,i_0_1097,i_0_1618,i_0_1945,i_0_1551,i_0_1177,i_0_2152,i_0_1275,i_0_621,i_0_2074,i_0_2182,i_0_1606,i_0_2058,i_0_289,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_19,i_0_18,i_0_341]) ).

cnf(i_0_2210,plain,
    ( product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2))
    | ~ product(X1,additive_identity,additive_identity) ),
    inference(rename_variables,[],[i_0_341]) ).

cnf(i_0_2212,plain,
    ~ sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2188,i_0_28]) ).

cnf(i_0_2213,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2214,plain,
    ~ product(additive_inverse(additive_identity),multiply(additive_identity,X1),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2159,i_0_2188,i_0_2170,i_0_2029,i_0_28,i_0_22]) ).

cnf(i_0_2215,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2216,plain,
    ~ product(multiply(a,additive_identity),additive_inverse(additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2159,i_0_2188,i_0_2198,i_0_2170,i_0_2074,i_0_2029,i_0_2152,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2217,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2218,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X5,X2,X6)
    | ~ product(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2219,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2157,i_0_2159,i_0_2188,i_0_2198,i_0_2170,i_0_1300,i_0_1204,i_0_2074,i_0_2029,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2220,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X1)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X6,X3) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2221,plain,
    ~ sum(additive_identity,add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2157,i_0_2159,i_0_2188,i_0_2198,i_0_2170,i_0_1300,i_0_121,i_0_1169,i_0_1204,i_0_2074,i_0_2029,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2222,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2188]) ).

cnf(i_0_2223,plain,
    sum(add(X1,additive_identity),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_2224,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ sum(X4,X6,X2)
    | ~ sum(X5,X6,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2225,plain,
    ~ sum(additive_identity,additive_identity,add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2157,i_0_2159,i_0_2188,i_0_2198,i_0_2170,i_0_1300,i_0_121,i_0_1169,i_0_2063,i_0_1204,i_0_2074,i_0_2029,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_18]) ).

cnf(i_0_2226,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_2170]) ).

cnf(i_0_2227,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_2170]) ).

cnf(i_0_2228,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2063]) ).

cnf(i_0_2229,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X6,X7)
    | ~ sum(X5,X7,X3)
    | ~ sum(X4,X6,X2) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2230,plain,
    product(additive_identity,add(additive_identity,additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2157,i_0_2159,i_0_2188,i_0_2198,i_0_2170,i_0_1300,i_0_121,i_0_1169,i_0_888,i_0_2063,i_0_1204,i_0_2074,i_0_2217,i_0_2029,i_0_2152,i_0_1990,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_18,i_0_19]) ).

cnf(i_0_2231,plain,
    sum(multiply(additive_identity,X1),additive_identity,additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_1300]) ).

cnf(i_0_2232,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2233,plain,
    sum(multiply(additive_identity,X1),add(X2,additive_identity),X2),
    inference(rename_variables,[],[i_0_888]) ).

cnf(i_0_2234,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X6,X5,X2)
    | product(X7,X5,X3)
    | ~ sum(X4,X6,X7) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2235,plain,
    ( ~ product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,a))
    | ~ product(additive_inverse(additive_identity),multiply(additive_identity,X2),additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_2157,i_0_2159,i_0_2188,i_0_2198,i_0_2170,i_0_2227,i_0_1300,i_0_121,i_0_1169,i_0_888,i_0_2063,i_0_1204,i_0_2074,i_0_2217,i_0_2029,i_0_2152,i_0_1990,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_18,i_0_19,i_0_20]) ).

cnf(i_0_2236,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ sum(X6,X1,X7)
    | ~ product(X6,X2,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2237,plain,
    ( ~ product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,a))
    | ~ product(additive_identity,multiply(additive_identity,X2),additive_identity) ),
    inference(scs_inference,[],[i_0_2157,i_0_2159,i_0_2188,i_0_2198,i_0_2170,i_0_2227,i_0_1300,i_0_121,i_0_1169,i_0_888,i_0_2063,i_0_1204,i_0_2074,i_0_2217,i_0_2029,i_0_2152,i_0_1990,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_18,i_0_19,i_0_20,i_0_1611]) ).

cnf(i_0_2238,plain,
    ( product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity))
    | ~ product(additive_identity,X1,additive_identity) ),
    inference(rename_variables,[],[i_0_1611]) ).

cnf(i_0_2239,plain,
    ~ product(add(additive_identity,additive_identity),X1,a),
    inference(rename_variables,[],[i_0_2092]) ).

cnf(i_0_2241,plain,
    ~ sum(add(additive_identity,additive_identity),additive_identity,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2173,i_0_28]) ).

cnf(i_0_2242,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2243,plain,
    ~ product(additive_inverse(additive_identity),add(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2186,i_0_2173,i_0_2230,i_0_2152,i_0_28,i_0_22]) ).

cnf(i_0_2244,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2245,plain,
    ~ product(additive_identity,additive_inverse(additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2130,i_0_2186,i_0_2173,i_0_2230,i_0_2029,i_0_2152,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2246,plain,
    ( ~ product(X1,X2,X3)
    | product(X3,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ product(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2247,plain,
    ~ sum(add(additive_identity,additive_identity),additive_identity,add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2130,i_0_2186,i_0_2173,i_0_2230,i_0_2154,i_0_1956,i_0_158,i_0_2029,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2248,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X3,X4,X6)
    | ~ sum(X1,X5,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2249,plain,
    ~ sum(additive_inverse(additive_identity),additive_inverse(additive_identity),a),
    inference(scs_inference,[],[i_0_2130,i_0_2186,i_0_2173,i_0_2230,i_0_2154,i_0_1974,i_0_1956,i_0_158,i_0_2029,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2250,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X1,X5,X6)
    | ~ sum(X3,X4,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2251,plain,
    ~ product(multiply(additive_identity,additive_identity),add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2130,i_0_2186,i_0_2219,i_0_2173,i_0_2230,i_0_2154,i_0_1974,i_0_1956,i_0_158,i_0_655,i_0_2074,i_0_2029,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21]) ).

cnf(i_0_2252,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2253,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2219]) ).

cnf(i_0_2254,plain,
    sum(add(X1,X1),add(additive_identity,additive_identity),add(X1,X1)),
    inference(rename_variables,[],[i_0_655]) ).

cnf(i_0_2255,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ product(X1,X6,X4)
    | ~ sum(X6,X2,X7)
    | ~ product(X1,X7,X5) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2256,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2130,i_0_2186,i_0_2219,i_0_2173,i_0_2230,i_0_2154,i_0_1974,i_0_1956,i_0_158,i_0_655,i_0_955,i_0_2170,i_0_1606,i_0_2074,i_0_2029,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18]) ).

cnf(i_0_2257,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_2170]) ).

cnf(i_0_2258,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2259,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X3,X5,X6)
    | product(X1,X7,X6)
    | ~ sum(X2,X4,X7) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2260,plain,
    ( ~ sum(multiply(X1,additive_identity),multiply(X1,additive_identity),add(additive_identity,a))
    | ~ sum(multiply(X1,additive_identity),multiply(X1,additive_identity),additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_2130,i_0_2186,i_0_2219,i_0_2173,i_0_2230,i_0_2154,i_0_1974,i_0_1956,i_0_158,i_0_655,i_0_955,i_0_2170,i_0_1606,i_0_2074,i_0_2252,i_0_2029,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2261,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X2,X5)
    | ~ product(X6,X2,X7)
    | ~ sum(X7,X3,X5)
    | ~ sum(X6,X1,X4) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2262,plain,
    ~ sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2212]) ).

cnf(i_0_2263,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2264,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),additive_identity),
    inference(rename_variables,[],[i_0_339]) ).

cnf(i_0_2266,plain,
    ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_1496,i_0_2109,i_0_27]) ).

cnf(i_0_2267,plain,
    ( ~ equalish(X1,X2)
    | sum(X3,X4,X2)
    | ~ sum(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_2268,plain,
    equalish(additive_identity,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_1496,i_0_2109,i_0_1963,i_0_888,i_0_27,i_0_26]) ).

cnf(i_0_2269,plain,
    sum(multiply(additive_identity,X1),add(X2,additive_identity),X2),
    inference(rename_variables,[],[i_0_888]) ).

cnf(i_0_2270,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X3,X4)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_2271,plain,
    ~ product(additive_inverse(additive_identity),additive_identity,add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2245,i_0_1496,i_0_2109,i_0_2230,i_0_1963,i_0_888,i_0_2152,i_0_27,i_0_26,i_0_22]) ).

cnf(i_0_2272,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X4,X3,X6)
    | ~ product(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2273,plain,
    ~ product(additive_identity,additive_inverse(additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2230,i_0_1963,i_0_888,i_0_2152,i_0_27,i_0_26,i_0_22,i_0_23]) ).

cnf(i_0_2274,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ product(X6,X4,X1)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2275,plain,
    product(add(additive_identity,additive_identity),additive_identity,add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2230,i_0_331,i_0_1963,i_0_1551,i_0_888,i_0_2170,i_0_2152,i_0_295,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18]) ).

cnf(i_0_2276,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_2170]) ).

cnf(i_0_2277,plain,
    sum(multiply(additive_identity,X1),additive_identity,add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_1551]) ).

cnf(i_0_2278,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_2279,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X3,X5)
    | product(X1,X6,X5)
    | ~ product(X1,X7,X4)
    | ~ sum(X7,X2,X6) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2280,plain,
    ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2230,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_2170,i_0_2152,i_0_295,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19]) ).

cnf(i_0_2281,plain,
    ~ product(additive_inverse(additive_identity),add(X1,X1),a),
    inference(rename_variables,[],[i_0_2194]) ).

cnf(i_0_2282,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_1478]) ).

cnf(i_0_2283,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X5,X6,X3)
    | ~ product(X7,X2,X6)
    | ~ sum(X4,X7,X1) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2284,plain,
    product(additive_identity,multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2230,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_2170,i_0_2152,i_0_295,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704]) ).

cnf(i_0_2285,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2230,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_2170,i_0_2152,i_0_295,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706]) ).

cnf(i_0_2286,plain,
    product(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2230,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_2170,i_0_2152,i_0_295,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315]) ).

cnf(i_0_2287,plain,
    ( ~ product(add(X1,X1),X2,add(X1,X1))
    | product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1)) ),
    inference(rename_variables,[],[i_0_315]) ).

cnf(i_0_2288,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(scs_inference,[],[i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2230,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_2170,i_0_2152,i_0_295,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702]) ).

cnf(i_0_2289,plain,
    ( ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity))
    | product(multiply(X2,additive_identity),X1,multiply(X2,additive_identity)) ),
    inference(rename_variables,[],[i_0_702]) ).

cnf(i_0_2290,plain,
    product(additive_identity,additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2230,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_2170,i_0_2152,i_0_295,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702,i_0_1223]) ).

cnf(i_0_2291,plain,
    ( ~ product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1))
    | product(additive_identity,X2,additive_identity) ),
    inference(rename_variables,[],[i_0_1223]) ).

cnf(i_0_2292,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2230,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_2170,i_0_2152,i_0_295,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702,i_0_1223,i_0_348]) ).

cnf(i_0_2293,plain,
    ( ~ product(X1,X2,add(additive_identity,additive_identity))
    | product(X1,multiply(X2,X3),multiply(additive_identity,X3)) ),
    inference(rename_variables,[],[i_0_348]) ).

cnf(i_0_2294,plain,
    ~ sum(additive_inverse(additive_identity),multiply(additive_identity,X1),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2173,i_0_2230,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_2170,i_0_2152,i_0_295,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702,i_0_1223,i_0_348,i_0_25]) ).

cnf(i_0_2295,plain,
    sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_1963]) ).

cnf(i_0_2296,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ sum(X6,X4,X1)
    | ~ sum(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2297,plain,
    ~ sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2241,i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2173,i_0_2230,i_0_1494,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_692,i_0_2170,i_0_2152,i_0_295,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702,i_0_1223,i_0_348,i_0_25,i_0_24]) ).

cnf(i_0_2298,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2299,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(rename_variables,[],[i_0_692]) ).

cnf(i_0_2300,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X2)
    | ~ sum(X1,X4,X6)
    | ~ sum(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2301,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2179,i_0_2256,i_0_2241,i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2173,i_0_2230,i_0_1494,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_692,i_0_1275,i_0_2170,i_0_2152,i_0_295,i_0_29,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702,i_0_1223,i_0_348,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2302,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_2303,plain,
    ~ sum(additive_inverse(additive_identity),multiply(additive_identity,X1),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2179]) ).

cnf(i_0_2304,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X2,X4,X6)
    | sum(X5,X6,X7)
    | ~ product(X3,X4,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2305,plain,
    ( ~ product(multiply(additive_identity,additive_identity),additive_identity,a)
    | ~ product(multiply(additive_identity,additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_2179,i_0_2256,i_0_2241,i_0_2056,i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2173,i_0_2230,i_0_1494,i_0_2298,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_692,i_0_1275,i_0_2170,i_0_2074,i_0_2152,i_0_295,i_0_29,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702,i_0_1223,i_0_348,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2306,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2307,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2308,plain,
    ~ sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),a),
    inference(rename_variables,[],[i_0_2056]) ).

cnf(i_0_2309,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X3,X6,X7)
    | ~ product(X1,X4,X6)
    | ~ product(X1,X5,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2310,plain,
    ~ product(add(additive_identity,a),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2179,i_0_2256,i_0_2241,i_0_2056,i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2173,i_0_2230,i_0_1494,i_0_2298,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_692,i_0_1275,i_0_2170,i_0_2074,i_0_2152,i_0_295,i_0_29,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702,i_0_1223,i_0_348,i_0_25,i_0_24,i_0_20,i_0_21,i_0_1173]) ).

cnf(i_0_2311,plain,
    ~ product(additive_identity,additive_identity,a),
    inference(scs_inference,[],[i_0_2179,i_0_2256,i_0_2241,i_0_2056,i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2173,i_0_2230,i_0_1494,i_0_2298,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_692,i_0_1275,i_0_2170,i_0_2074,i_0_2152,i_0_295,i_0_29,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702,i_0_1223,i_0_348,i_0_25,i_0_24,i_0_20,i_0_21,i_0_1173,i_0_2037]) ).

cnf(i_0_2312,plain,
    ( ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity))
    | ~ product(additive_identity,X1,a) ),
    inference(rename_variables,[],[i_0_2037]) ).

cnf(i_0_2313,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2179,i_0_2256,i_0_2241,i_0_2056,i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2173,i_0_2230,i_0_1494,i_0_2298,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_692,i_0_1275,i_0_2170,i_0_2074,i_0_2152,i_0_295,i_0_29,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702,i_0_1223,i_0_348,i_0_25,i_0_24,i_0_20,i_0_21,i_0_1173,i_0_2037,i_0_28]) ).

cnf(i_0_2314,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2315,plain,
    ( ~ product(additive_identity,a,a)
    | product(additive_identity,a,a) ),
    inference(scs_inference,[],[i_0_2179,i_0_2256,i_0_2241,i_0_2056,i_0_2194,i_0_2202,i_0_2245,i_0_1496,i_0_2109,i_0_2173,i_0_2230,i_0_1494,i_0_2298,i_0_331,i_0_1312,i_0_1963,i_0_1478,i_0_1551,i_0_888,i_0_692,i_0_1275,i_0_2170,i_0_2074,i_0_2152,i_0_295,i_0_29,i_0_27,i_0_26,i_0_22,i_0_23,i_0_18,i_0_19,i_0_704,i_0_706,i_0_315,i_0_702,i_0_1223,i_0_348,i_0_25,i_0_24,i_0_20,i_0_21,i_0_1173,i_0_2037,i_0_28,i_0_782]) ).

cnf(i_0_2316,plain,
    ( ~ product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2))
    | product(X1,a,a)
    | ~ product(X1,a,a) ),
    inference(rename_variables,[],[i_0_782]) ).

cnf(i_0_2317,plain,
    product(add(additive_identity,additive_identity),add(additive_identity,X1),multiply(add(additive_identity,additive_identity),X1)),
    inference(scs_inference,[],[i_0_2275,i_0_708]) ).

cnf(i_0_2318,plain,
    ~ product(add(a,additive_identity),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2290,i_0_1183]) ).

cnf(i_0_2319,plain,
    ~ product(add(a,additive_identity),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2275,i_0_1189]) ).

cnf(i_0_2320,plain,
    ~ product(add(a,multiply(additive_identity,X1)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2290,i_0_1198]) ).

cnf(i_0_2321,plain,
    ~ product(add(multiply(additive_identity,X1),add(additive_identity,a)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2290,i_0_1217]) ).

cnf(i_0_2322,plain,
    ~ product(add(add(additive_identity,a),multiply(additive_identity,X1)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2290,i_0_1269]) ).

cnf(i_0_2323,plain,
    ~ product(add(additive_identity,add(additive_identity,a)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2290,i_0_1279]) ).

cnf(i_0_2324,plain,
    ~ product(add(add(a,additive_identity),multiply(additive_identity,X1)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2290,i_0_1294]) ).

cnf(i_0_2325,plain,
    ~ product(add(multiply(additive_identity,X1),add(a,additive_identity)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2290,i_0_1346]) ).

cnf(i_0_2326,plain,
    product(add(additive_identity,additive_identity),add(additive_identity,X1),multiply(add(additive_identity,additive_identity),X1)),
    inference(scs_inference,[],[i_0_2290,i_0_1360]) ).

cnf(i_0_2327,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,add(X1,X1))),
    inference(scs_inference,[],[i_0_2290,i_0_1364]) ).

cnf(i_0_2328,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(multiply(additive_identity,X1),multiply(additive_identity,X1))),
    inference(scs_inference,[],[i_0_2290,i_0_1368]) ).

cnf(i_0_2329,plain,
    ~ product(add(add(additive_identity,a),additive_identity),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2290,i_0_1419]) ).

cnf(i_0_2330,plain,
    ~ sum(additive_inverse(additive_identity),add(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2297,i_0_28]) ).

cnf(i_0_2331,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2332,plain,
    ~ product(multiply(additive_identity,additive_identity),multiply(additive_identity,X1),a),
    inference(scs_inference,[],[i_0_2311,i_0_2297,i_0_2285,i_0_2170,i_0_28,i_0_22]) ).

cnf(i_0_2333,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2285]) ).

cnf(i_0_2334,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2335,plain,
    ~ product(additive_identity,multiply(additive_identity,X1),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2311,i_0_2292,i_0_2297,i_0_2301,i_0_2285,i_0_2333,i_0_2170,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2336,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2292]) ).

cnf(i_0_2337,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2285]) ).

cnf(i_0_2338,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2301]) ).

cnf(i_0_2339,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X5,X2,X6)
    | ~ product(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2340,plain,
    ~ sum(additive_inverse(additive_identity),additive_inverse(additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2311,i_0_2292,i_0_2297,i_0_2301,i_0_2294,i_0_2285,i_0_2333,i_0_899,i_0_1504,i_0_2170,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2341,plain,
    sum(add(X1,additive_identity),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_899]) ).

cnf(i_0_2342,plain,
    sum(additive_inverse(additive_identity),add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_1504]) ).

cnf(i_0_2343,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X5,X2,X6)
    | ~ sum(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2344,plain,
    ~ sum(additive_identity,additive_inverse(additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2311,i_0_2292,i_0_2297,i_0_2301,i_0_2294,i_0_2285,i_0_2333,i_0_1202,i_0_899,i_0_1504,i_0_2342,i_0_2170,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2345,plain,
    sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1202]) ).

cnf(i_0_2346,plain,
    sum(additive_inverse(additive_identity),add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_1504]) ).

cnf(i_0_2347,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X4,X3,X6)
    | ~ sum(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2348,plain,
    ~ product(multiply(additive_identity,X1),additive_identity,add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2290,i_0_2311,i_0_2225,i_0_2292,i_0_2297,i_0_2301,i_0_2294,i_0_2285,i_0_2333,i_0_1202,i_0_899,i_0_1504,i_0_2342,i_0_1204,i_0_2170,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2349,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | sum(X3,X5,X6)
    | ~ sum(X1,X4,X7)
    | ~ product(X7,X2,X6) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2350,plain,
    ~ product(additive_identity,multiply(additive_identity,X1),a),
    inference(scs_inference,[],[i_0_2290,i_0_2311,i_0_2225,i_0_2181,i_0_2292,i_0_2297,i_0_2301,i_0_2294,i_0_2285,i_0_2333,i_0_1202,i_0_899,i_0_1504,i_0_2342,i_0_1551,i_0_1204,i_0_2170,i_0_36,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_18]) ).

cnf(i_0_2351,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_2352,plain,
    ( ~ sum(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X4,X7,X2)
    | ~ sum(X6,X7,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2353,plain,
    ~ sum(additive_identity,multiply(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2290,i_0_2311,i_0_2225,i_0_2181,i_0_2292,i_0_2297,i_0_2301,i_0_2294,i_0_2288,i_0_2285,i_0_2333,i_0_2032,i_0_1202,i_0_899,i_0_1504,i_0_2342,i_0_1576,i_0_1551,i_0_1204,i_0_2170,i_0_36,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_18,i_0_19]) ).

cnf(i_0_2354,plain,
    sum(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_1576]) ).

cnf(i_0_2355,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2356,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X3,X4,X5)
    | ~ product(X6,X2,X4)
    | product(X7,X2,X5)
    | ~ sum(X1,X6,X7) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2357,plain,
    ( ~ product(multiply(a,additive_identity),add(additive_identity,additive_identity),multiply(additive_identity,X1))
    | ~ product(multiply(a,additive_identity),additive_inverse(additive_identity),multiply(a,additive_identity)) ),
    inference(scs_inference,[],[i_0_2290,i_0_2311,i_0_2225,i_0_2181,i_0_2266,i_0_2292,i_0_2297,i_0_2301,i_0_2294,i_0_2288,i_0_2285,i_0_2333,i_0_2032,i_0_1942,i_0_1202,i_0_899,i_0_1504,i_0_2342,i_0_1576,i_0_1551,i_0_1204,i_0_2170,i_0_2074,i_0_36,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_18,i_0_19,i_0_21]) ).

cnf(i_0_2358,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X2,X1)),
    inference(rename_variables,[],[i_0_1942]) ).

cnf(i_0_2359,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2360,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X6)
    | ~ product(X7,X5,X2)
    | ~ product(X7,X4,X1)
    | ~ product(X7,X6,X3) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2361,plain,
    ~ sum(multiply(additive_identity,additive_identity),additive_identity,add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2353,i_0_28]) ).

cnf(i_0_2362,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2363,plain,
    ~ product(multiply(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2273,i_0_2353,i_0_2256,i_0_2285,i_0_28,i_0_22]) ).

cnf(i_0_2364,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2285]) ).

cnf(i_0_2365,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2366,plain,
    ~ product(add(additive_identity,additive_identity),multiply(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2273,i_0_2243,i_0_2353,i_0_2256,i_0_2285,i_0_2074,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2367,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2256]) ).

cnf(i_0_2368,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2369,plain,
    ( ~ product(X1,X2,X3)
    | product(X3,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ product(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2370,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2273,i_0_2243,i_0_2353,i_0_2256,i_0_2285,i_0_1097,i_0_121,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2371,plain,
    sum(add(X1,additive_identity),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_2372,plain,
    sum(additive_inverse(additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1097]) ).

cnf(i_0_2373,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X3,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ sum(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2374,plain,
    ~ sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2273,i_0_2243,i_0_2330,i_0_2353,i_0_2256,i_0_2285,i_0_1097,i_0_2372,i_0_121,i_0_951,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2375,plain,
    sum(additive_inverse(additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1097]) ).

cnf(i_0_2376,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_2377,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X4,X5)
    | ~ sum(X2,X6,X4)
    | ~ sum(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2378,plain,
    ~ product(additive_inverse(additive_identity),add(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2273,i_0_2243,i_0_2330,i_0_2313,i_0_2353,i_0_2256,i_0_2285,i_0_1097,i_0_2372,i_0_121,i_0_1300,i_0_951,i_0_2230,i_0_2074,i_0_2368,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2379,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(additive_identity),multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2313]) ).

cnf(i_0_2380,plain,
    sum(multiply(additive_identity,X1),additive_identity,additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_1300]) ).

cnf(i_0_2381,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2382,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ sum(X6,X1,X7)
    | ~ product(X6,X2,X4)
    | ~ product(X7,X2,X5) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2383,plain,
    ~ product(additive_identity,add(X1,additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2273,i_0_2243,i_0_2330,i_0_2313,i_0_2353,i_0_2256,i_0_2285,i_0_2364,i_0_2219,i_0_1097,i_0_2372,i_0_121,i_0_1945,i_0_1300,i_0_951,i_0_2230,i_0_2074,i_0_2368,i_0_29,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2384,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_1945]) ).

cnf(i_0_2385,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2285]) ).

cnf(i_0_2386,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_2387,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2219]) ).

cnf(i_0_2388,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ product(X4,X1,X6)
    | sum(X6,X5,X7)
    | ~ product(X4,X3,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2389,plain,
    ~ sum(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2273,i_0_2243,i_0_2330,i_0_2313,i_0_2353,i_0_2275,i_0_2186,i_0_2256,i_0_2285,i_0_2364,i_0_2219,i_0_1097,i_0_2372,i_0_121,i_0_1945,i_0_1300,i_0_951,i_0_2230,i_0_1606,i_0_2074,i_0_2368,i_0_29,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2390,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X6,X7)
    | ~ sum(X5,X7,X3)
    | ~ sum(X4,X6,X2) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2391,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(scs_inference,[],[i_0_2273,i_0_2243,i_0_2330,i_0_2313,i_0_2353,i_0_2284,i_0_2275,i_0_2186,i_0_2256,i_0_2367,i_0_2285,i_0_2364,i_0_2219,i_0_1097,i_0_2372,i_0_121,i_0_1945,i_0_339,i_0_1300,i_0_951,i_0_2230,i_0_1285,i_0_1606,i_0_2074,i_0_2368,i_0_29,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2392,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),additive_identity),
    inference(rename_variables,[],[i_0_339]) ).

cnf(i_0_2393,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2256]) ).

cnf(i_0_2394,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | product(X6,X5,X3)
    | ~ product(X7,X5,X1)
    | ~ sum(X7,X4,X6) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2395,plain,
    ~ sum(multiply(additive_identity,additive_identity),add(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2370,i_0_28]) ).

cnf(i_0_2396,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2397,plain,
    ~ product(additive_identity,additive_identity,add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2370,i_0_2363,i_0_2391,i_0_2288,i_0_28,i_0_22]) ).

cnf(i_0_2398,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2399,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2391]) ).

cnf(i_0_2400,plain,
    ~ product(multiply(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(rename_variables,[],[i_0_2363]) ).

cnf(i_0_2401,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X4,X3,X6)
    | ~ product(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2402,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,additive_identity),a),
    inference(scs_inference,[],[i_0_31,i_0_2370,i_0_2363,i_0_2391,i_0_2399,i_0_2288,i_0_2398,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2403,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2404,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2391]) ).

cnf(i_0_2405,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ product(X6,X4,X1)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2406,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_2370,i_0_2363,i_0_2391,i_0_2399,i_0_2288,i_0_2398,i_0_1312,i_0_1551,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2407,plain,
    sum(additive_identity,multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_1312]) ).

cnf(i_0_2408,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ sum(X6,X4,X1)
    | ~ sum(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2409,plain,
    ~ sum(additive_identity,additive_inverse(additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_2370,i_0_2363,i_0_2391,i_0_2399,i_0_2288,i_0_2398,i_0_1067,i_0_1312,i_0_899,i_0_1551,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2410,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1067]) ).

cnf(i_0_2411,plain,
    sum(add(X1,additive_identity),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_899]) ).

cnf(i_0_2412,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X2)
    | ~ sum(X1,X4,X6)
    | ~ sum(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2413,plain,
    ~ product(multiply(a,additive_identity),multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_2370,i_0_2363,i_0_2391,i_0_2399,i_0_1970,i_0_2288,i_0_2398,i_0_2403,i_0_1067,i_0_1312,i_0_899,i_0_1551,i_0_1204,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21]) ).

cnf(i_0_2414,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2415,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | sum(X5,X3,X6)
    | ~ sum(X4,X2,X7)
    | ~ product(X1,X7,X6) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2416,plain,
    product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_31,i_0_2370,i_0_2363,i_0_2391,i_0_2399,i_0_2404,i_0_1970,i_0_2288,i_0_2398,i_0_2403,i_0_1067,i_0_1312,i_0_899,i_0_2063,i_0_1551,i_0_1204,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18]) ).

cnf(i_0_2417,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2391]) ).

cnf(i_0_2418,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2063]) ).

cnf(i_0_2419,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X3,X5,X6)
    | product(X1,X7,X6)
    | ~ sum(X2,X4,X7) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2420,plain,
    ~ sum(additive_inverse(additive_identity),additive_inverse(additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_31,i_0_2366,i_0_2370,i_0_2363,i_0_2391,i_0_2399,i_0_2404,i_0_1970,i_0_2288,i_0_2398,i_0_2403,i_0_1067,i_0_2256,i_0_1312,i_0_899,i_0_2063,i_0_655,i_0_1551,i_0_1204,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2421,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2256]) ).

cnf(i_0_2422,plain,
    sum(add(X1,X1),add(additive_identity,additive_identity),add(X1,X1)),
    inference(rename_variables,[],[i_0_655]) ).

cnf(i_0_2423,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X2,X5)
    | ~ product(X6,X2,X7)
    | ~ sum(X7,X3,X5)
    | ~ sum(X6,X1,X4) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2424,plain,
    ( ~ product(multiply(additive_identity,X1),additive_identity,add(a,additive_identity))
    | ~ product(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_31,i_0_2366,i_0_2370,i_0_2363,i_0_2391,i_0_2399,i_0_2404,i_0_1970,i_0_2288,i_0_2398,i_0_2403,i_0_2275,i_0_1067,i_0_2256,i_0_1312,i_0_1202,i_0_899,i_0_2063,i_0_655,i_0_1551,i_0_1204,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_19,i_0_20]) ).

cnf(i_0_2425,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5)
    | ~ product(X3,X7,X6) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2426,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2374,i_0_28]) ).

cnf(i_0_2427,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2428,plain,
    ~ product(multiply(additive_identity,X1),additive_identity,add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2374,i_0_2416,i_0_2366,i_0_2292,i_0_28,i_0_22]) ).

cnf(i_0_2429,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2292]) ).

cnf(i_0_2430,plain,
    product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2416]) ).

cnf(i_0_2431,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2432,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,X2),a),
    inference(scs_inference,[],[i_0_2374,i_0_2332,i_0_2416,i_0_2430,i_0_2366,i_0_2292,i_0_2284,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2433,plain,
    product(additive_identity,multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2284]) ).

cnf(i_0_2434,plain,
    product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2416]) ).

cnf(i_0_2435,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X5,X2,X6)
    | ~ product(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2436,plain,
    ~ sum(additive_inverse(additive_identity),additive_identity,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2374,i_0_2332,i_0_2344,i_0_2416,i_0_2430,i_0_2366,i_0_2292,i_0_2284,i_0_1618,i_0_1478,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2437,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_2438,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_1478]) ).

cnf(i_0_2439,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X5,X2,X6)
    | ~ sum(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2440,plain,
    ~ sum(additive_identity,add(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2389,i_0_2374,i_0_2332,i_0_2344,i_0_2416,i_0_2430,i_0_2366,i_0_2292,i_0_2284,i_0_1618,i_0_2437,i_0_1478,i_0_1945,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2441,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_1945]) ).

cnf(i_0_2442,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_2443,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X4,X3,X6)
    | ~ sum(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2444,plain,
    ~ product(additive_identity,additive_identity,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2389,i_0_2374,i_0_2332,i_0_2344,i_0_2416,i_0_2430,i_0_2434,i_0_2366,i_0_2292,i_0_2284,i_0_1618,i_0_2437,i_0_2275,i_0_1478,i_0_1945,i_0_888,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2445,plain,
    ~ sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2374]) ).

cnf(i_0_2446,plain,
    product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2416]) ).

cnf(i_0_2447,plain,
    sum(multiply(additive_identity,X1),add(X2,additive_identity),X2),
    inference(rename_variables,[],[i_0_888]) ).

cnf(i_0_2448,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X6,X5,X2)
    | ~ sum(X4,X6,X7)
    | ~ product(X7,X5,X3) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2449,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_2389,i_0_2374,i_0_2332,i_0_2344,i_0_2416,i_0_2430,i_0_2434,i_0_2366,i_0_2292,i_0_2429,i_0_2284,i_0_1618,i_0_2437,i_0_2275,i_0_1097,i_0_2256,i_0_1478,i_0_1945,i_0_955,i_0_888,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_18]) ).

cnf(i_0_2450,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2292]) ).

cnf(i_0_2451,plain,
    sum(additive_inverse(additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1097]) ).

cnf(i_0_2452,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2453,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X3,X5)
    | product(X1,X6,X5)
    | ~ product(X1,X7,X4)
    | ~ sum(X7,X2,X6) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2454,plain,
    ~ sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2318,i_0_2389,i_0_2374,i_0_2332,i_0_2344,i_0_2416,i_0_2430,i_0_2434,i_0_2446,i_0_2366,i_0_2292,i_0_2429,i_0_2284,i_0_1618,i_0_2437,i_0_2275,i_0_1097,i_0_2256,i_0_1478,i_0_1945,i_0_339,i_0_955,i_0_888,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_18,i_0_19]) ).

cnf(i_0_2455,plain,
    product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2416]) ).

cnf(i_0_2456,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X5,X6,X3)
    | ~ product(X7,X2,X6)
    | ~ sum(X4,X7,X1) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2457,plain,
    equalish(additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2318,i_0_2389,i_0_2374,i_0_2332,i_0_2344,i_0_2416,i_0_2430,i_0_2434,i_0_2446,i_0_2366,i_0_2292,i_0_2429,i_0_2284,i_0_1618,i_0_2437,i_0_2275,i_0_1097,i_0_2451,i_0_2256,i_0_1478,i_0_1945,i_0_339,i_0_955,i_0_2452,i_0_888,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_18,i_0_19,i_0_26]) ).

cnf(i_0_2458,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2459,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X3,X4)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_2460,plain,
    ( ~ product(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,additive_identity))
    | ~ product(add(additive_identity,additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_2318,i_0_2389,i_0_2374,i_0_2332,i_0_2344,i_0_2416,i_0_2430,i_0_2434,i_0_2446,i_0_2366,i_0_2292,i_0_2429,i_0_2284,i_0_1618,i_0_2437,i_0_2275,i_0_1177,i_0_1097,i_0_2451,i_0_2256,i_0_1478,i_0_1945,i_0_339,i_0_955,i_0_2452,i_0_888,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_18,i_0_19,i_0_26,i_0_21]) ).

cnf(i_0_2461,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ sum(X5,X6,X7)
    | ~ product(X4,X6,X2)
    | ~ product(X4,X7,X3) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2462,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2454,i_0_28]) ).

cnf(i_0_2463,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2464,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2397,i_0_2454,i_0_2391,i_0_2284,i_0_28,i_0_22]) ).

cnf(i_0_2465,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2391]) ).

cnf(i_0_2466,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2467,plain,
    ~ product(add(additive_identity,additive_identity),multiply(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2397,i_0_2454,i_0_2378,i_0_2391,i_0_2284,i_0_2256,i_0_2074,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2468,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2256]) ).

cnf(i_0_2469,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2470,plain,
    ( ~ product(X1,X2,X3)
    | product(X3,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ product(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2471,plain,
    ~ sum(additive_inverse(additive_identity),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2397,i_0_2454,i_0_2378,i_0_2391,i_0_2284,i_0_1160,i_0_2256,i_0_1285,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2472,plain,
    sum(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1160]) ).

cnf(i_0_2473,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X3,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ sum(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2474,plain,
    ~ sum(additive_identity,additive_identity,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2397,i_0_2426,i_0_2454,i_0_2378,i_0_2391,i_0_2284,i_0_1494,i_0_1160,i_0_2472,i_0_2256,i_0_1285,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2475,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2476,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2426]) ).

cnf(i_0_2477,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X4,X5)
    | ~ sum(X2,X6,X4)
    | ~ sum(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2478,plain,
    ~ product(multiply(additive_identity,additive_identity),additive_identity,a),
    inference(scs_inference,[],[i_0_2397,i_0_2426,i_0_2454,i_0_2378,i_0_2416,i_0_2163,i_0_2391,i_0_2284,i_0_1494,i_0_1160,i_0_2472,i_0_51,i_0_2256,i_0_1285,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2479,plain,
    product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2416]) ).

cnf(i_0_2480,plain,
    sum(multiply(X1,additive_identity),multiply(X1,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_2481,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),a),
    inference(rename_variables,[],[i_0_2163]) ).

cnf(i_0_2482,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | sum(X3,X5,X7)
    | ~ product(X6,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2483,plain,
    ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2397,i_0_2426,i_0_2454,i_0_2378,i_0_2361,i_0_2416,i_0_2479,i_0_2163,i_0_2391,i_0_2465,i_0_2284,i_0_1494,i_0_1160,i_0_2472,i_0_1576,i_0_51,i_0_2256,i_0_1285,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2484,plain,
    product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2416]) ).

cnf(i_0_2485,plain,
    sum(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_1576]) ).

cnf(i_0_2486,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | ~ product(X1,X4,X6)
    | sum(X3,X6,X7)
    | ~ product(X1,X5,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2487,plain,
    ~ product(additive_identity,multiply(additive_identity,X1),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2147,i_0_2397,i_0_2426,i_0_2454,i_0_2378,i_0_2361,i_0_2416,i_0_2479,i_0_2163,i_0_2391,i_0_2465,i_0_2284,i_0_1494,i_0_1160,i_0_2472,i_0_1576,i_0_51,i_0_2256,i_0_2063,i_0_1285,i_0_2074,i_0_694,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2488,plain,
    sum(multiply(additive_identity,X1),add(X2,X3),add(X3,X2)),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_2489,plain,
    product(additive_identity,multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2284]) ).

cnf(i_0_2490,plain,
    ( ~ sum(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X4,X7,X2)
    | ~ sum(X6,X7,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2491,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2147,i_0_2397,i_0_2426,i_0_2454,i_0_2378,i_0_2449,i_0_2361,i_0_2416,i_0_2479,i_0_2163,i_0_2391,i_0_2465,i_0_2284,i_0_1494,i_0_1160,i_0_2472,i_0_1576,i_0_2485,i_0_51,i_0_2256,i_0_2063,i_0_1963,i_0_1285,i_0_2074,i_0_694,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2492,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2391]) ).

cnf(i_0_2493,plain,
    sum(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_1576]) ).

cnf(i_0_2494,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X3,X4,X5)
    | ~ product(X6,X2,X4)
    | product(X7,X2,X5)
    | ~ sum(X1,X6,X7) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2495,plain,
    ~ sum(add(additive_identity,additive_identity),additive_identity,add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2440,i_0_28]) ).

cnf(i_0_2496,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2497,plain,
    ~ product(multiply(additive_identity,X1),add(additive_identity,X2),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2464,i_0_2440,i_0_2285,i_0_2416,i_0_28,i_0_22]) ).

cnf(i_0_2498,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2285]) ).

cnf(i_0_2499,plain,
    product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2416]) ).

cnf(i_0_2500,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X4,X3,X6)
    | ~ product(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2501,plain,
    ~ product(multiply(additive_identity,additive_identity),add(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2467,i_0_2464,i_0_2491,i_0_2440,i_0_2285,i_0_2416,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2502,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_2491]) ).

cnf(i_0_2503,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_2491]) ).

cnf(i_0_2504,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ product(X6,X4,X1)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2505,plain,
    ~ sum(additive_inverse(additive_identity),additive_identity,add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2467,i_0_2464,i_0_2491,i_0_2471,i_0_2440,i_0_2285,i_0_2416,i_0_1305,i_0_331,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2506,plain,
    ~ sum(additive_inverse(additive_identity),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(rename_variables,[],[i_0_2471]) ).

cnf(i_0_2507,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ sum(X6,X4,X1)
    | ~ sum(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2508,plain,
    ~ sum(X1,additive_inverse(X1),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2467,i_0_2464,i_0_2491,i_0_2471,i_0_2440,i_0_2436,i_0_2285,i_0_2416,i_0_1305,i_0_121,i_0_1504,i_0_331,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2509,plain,
    sum(add(X1,additive_identity),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_2510,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X2)
    | ~ sum(X1,X4,X6)
    | ~ sum(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2511,plain,
    ~ product(additive_inverse(additive_identity),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2467,i_0_2462,i_0_2464,i_0_2491,i_0_2503,i_0_2471,i_0_2440,i_0_2436,i_0_2285,i_0_2416,i_0_1305,i_0_121,i_0_2284,i_0_1504,i_0_331,i_0_1300,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2512,plain,
    product(additive_identity,multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2284]) ).

cnf(i_0_2513,plain,
    sum(multiply(additive_identity,X1),additive_identity,additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_1300]) ).

cnf(i_0_2514,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(rename_variables,[],[i_0_2462]) ).

cnf(i_0_2515,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X6,X3,X7)
    | ~ product(X4,X2,X6)
    | ~ product(X5,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2516,plain,
    ~ product(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2467,i_0_2462,i_0_2514,i_0_2464,i_0_2491,i_0_2503,i_0_2471,i_0_2440,i_0_2436,i_0_2285,i_0_2416,i_0_1942,i_0_1305,i_0_121,i_0_2284,i_0_1504,i_0_331,i_0_1300,i_0_2058,i_0_295,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2517,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X2,X1)),
    inference(rename_variables,[],[i_0_1942]) ).

cnf(i_0_2518,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_2519,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(rename_variables,[],[i_0_2462]) ).

cnf(i_0_2520,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | sum(X6,X5,X7)
    | ~ product(X4,X1,X6)
    | ~ product(X4,X3,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2521,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2467,i_0_2462,i_0_2514,i_0_2464,i_0_2491,i_0_2503,i_0_2471,i_0_2440,i_0_2436,i_0_2449,i_0_2285,i_0_2416,i_0_1942,i_0_1305,i_0_121,i_0_2284,i_0_1504,i_0_331,i_0_1300,i_0_951,i_0_2058,i_0_295,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2522,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2449]) ).

cnf(i_0_2523,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2449]) ).

cnf(i_0_2524,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_2525,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X6,X7)
    | ~ sum(X5,X7,X3)
    | ~ sum(X4,X6,X2) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2526,plain,
    ~ sum(add(additive_identity,additive_identity),add(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2467,i_0_2462,i_0_2514,i_0_2464,i_0_2491,i_0_2503,i_0_2413,i_0_2471,i_0_2440,i_0_2436,i_0_2449,i_0_2285,i_0_2416,i_0_1942,i_0_1305,i_0_121,i_0_2284,i_0_1504,i_0_331,i_0_1300,i_0_951,i_0_2256,i_0_2058,i_0_295,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2527,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2256]) ).

cnf(i_0_2528,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2256]) ).

cnf(i_0_2529,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | product(X6,X5,X3)
    | ~ product(X7,X5,X1)
    | ~ sum(X7,X4,X6) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2530,plain,
    ~ sum(additive_inverse(X1),X1,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2508,i_0_28]) ).

cnf(i_0_2531,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2532,plain,
    ~ product(additive_identity,multiply(additive_identity,X1),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2491,i_0_2391,i_0_28,i_0_22]) ).

cnf(i_0_2533,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2391]) ).

cnf(i_0_2534,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2535,plain,
    ~ product(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2491,i_0_2288,i_0_2391,i_0_2285,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2536,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2285]) ).

cnf(i_0_2537,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2538,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X5,X2,X6)
    | ~ product(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2539,plain,
    ~ sum(additive_identity,multiply(additive_identity,X1),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2340,i_0_2491,i_0_2288,i_0_2391,i_0_2285,i_0_1067,i_0_1312,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2540,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1067]) ).

cnf(i_0_2541,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X5,X2,X6)
    | ~ sum(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2542,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2340,i_0_2491,i_0_2288,i_0_2391,i_0_2285,i_0_1067,i_0_1312,i_0_1160,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2543,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X4,X3,X6)
    | ~ sum(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2544,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,X2),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2526,i_0_2340,i_0_2491,i_0_2288,i_0_2391,i_0_2285,i_0_1067,i_0_1312,i_0_1160,i_0_955,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21]) ).

cnf(i_0_2545,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_2491]) ).

cnf(i_0_2546,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2547,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ product(X1,X6,X4)
    | ~ sum(X6,X2,X7)
    | ~ product(X1,X7,X5) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2548,plain,
    product(multiply(additive_identity,additive_identity),additive_inverse(additive_identity),multiply(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2526,i_0_2340,i_0_2491,i_0_2288,i_0_2537,i_0_2391,i_0_2285,i_0_1067,i_0_1312,i_0_1160,i_0_955,i_0_2546,i_0_1606,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18]) ).

cnf(i_0_2549,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2550,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2551,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X3,X5,X6)
    | product(X1,X7,X6)
    | ~ sum(X2,X4,X7) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2552,plain,
    product(additive_identity,additive_inverse(additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2526,i_0_2340,i_0_2491,i_0_2288,i_0_2537,i_0_2391,i_0_2285,i_0_1067,i_0_1312,i_0_1160,i_0_955,i_0_2546,i_0_1606,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_1223]) ).

cnf(i_0_2553,plain,
    ( ~ product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1))
    | product(additive_identity,X2,additive_identity) ),
    inference(rename_variables,[],[i_0_1223]) ).

cnf(i_0_2554,plain,
    product(add(additive_identity,additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2526,i_0_2340,i_0_2491,i_0_2288,i_0_2537,i_0_2391,i_0_2285,i_0_1067,i_0_1312,i_0_1160,i_0_955,i_0_2546,i_0_1606,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_1223,i_0_527]) ).

cnf(i_0_2555,plain,
    ( ~ product(X1,X2,X1)
    | product(add(X3,X1),X2,add(X3,X1))
    | ~ product(X3,X2,X3) ),
    inference(rename_variables,[],[i_0_527]) ).

cnf(i_0_2556,plain,
    ~ product(multiply(additive_identity,additive_identity),additive_identity,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2526,i_0_2340,i_0_2521,i_0_2491,i_0_2288,i_0_2537,i_0_2549,i_0_2391,i_0_2285,i_0_1067,i_0_1312,i_0_1160,i_0_955,i_0_2546,i_0_2550,i_0_1606,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_1223,i_0_527,i_0_20]) ).

cnf(i_0_2557,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X1),multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2521]) ).

cnf(i_0_2558,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2559,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2560,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2561,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X6,X5,X2)
    | ~ sum(X4,X6,X7)
    | ~ product(X7,X5,X3) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2562,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2526,i_0_2340,i_0_2521,i_0_2497,i_0_2491,i_0_2288,i_0_2537,i_0_2549,i_0_2391,i_0_2285,i_0_2536,i_0_1067,i_0_1312,i_0_1160,i_0_955,i_0_2546,i_0_2550,i_0_1606,i_0_1204,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_1223,i_0_527,i_0_20,i_0_19]) ).

cnf(i_0_2563,plain,
    ~ product(multiply(additive_identity,X1),add(additive_identity,X2),add(a,additive_identity)),
    inference(rename_variables,[],[i_0_2497]) ).

cnf(i_0_2564,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ product(X6,X2,X7)
    | ~ sum(X5,X7,X3)
    | ~ sum(X4,X6,X1) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2565,plain,
    ~ product(additive_identity,additive_inverse(additive_identity),a),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2526,i_0_2340,i_0_2521,i_0_2497,i_0_2491,i_0_2288,i_0_2537,i_0_2549,i_0_2391,i_0_2285,i_0_2536,i_0_1067,i_0_1312,i_0_1160,i_0_955,i_0_2546,i_0_2550,i_0_1606,i_0_1204,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_1223,i_0_527,i_0_20,i_0_19,i_0_2037]) ).

cnf(i_0_2566,plain,
    ( ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity))
    | ~ product(additive_identity,X1,a) ),
    inference(rename_variables,[],[i_0_2037]) ).

cnf(i_0_2567,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(scs_inference,[],[i_0_2501,i_0_2508,i_0_2526,i_0_2340,i_0_2521,i_0_2497,i_0_2491,i_0_2288,i_0_2537,i_0_2549,i_0_2391,i_0_2285,i_0_2536,i_0_1067,i_0_1312,i_0_1160,i_0_955,i_0_2546,i_0_2550,i_0_1606,i_0_1204,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_18,i_0_1223,i_0_527,i_0_20,i_0_19,i_0_2037,i_0_702]) ).

cnf(i_0_2568,plain,
    ( ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity))
    | product(multiply(X2,additive_identity),X1,multiply(X2,additive_identity)) ),
    inference(rename_variables,[],[i_0_702]) ).

cnf(i_0_2569,plain,
    ~ product(multiply(a,additive_identity),add(additive_identity,additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2567,i_0_2357]) ).

cnf(i_0_2570,plain,
    ~ product(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2554,i_0_2460]) ).

cnf(i_0_2571,plain,
    ~ sum(multiply(additive_identity,X1),additive_identity,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2539,i_0_28]) ).

cnf(i_0_2572,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2573,plain,
    ~ product(additive_inverse(additive_identity),additive_inverse(additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2516,i_0_2554,i_0_2539,i_0_2029,i_0_28,i_0_22]) ).

cnf(i_0_2574,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2575,plain,
    ~ product(multiply(additive_identity,additive_identity),additive_inverse(additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2516,i_0_2280,i_0_2554,i_0_2539,i_0_2029,i_0_2074,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2576,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2577,plain,
    ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2280]) ).

cnf(i_0_2578,plain,
    ( ~ product(X1,X2,X3)
    | product(X3,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ product(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2579,plain,
    ~ sum(additive_identity,multiply(additive_identity,X1),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2516,i_0_2280,i_0_2562,i_0_2554,i_0_2539,i_0_1177,i_0_1097,i_0_2029,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2580,plain,
    sum(additive_identity,additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1177]) ).

cnf(i_0_2581,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(rename_variables,[],[i_0_2562]) ).

cnf(i_0_2582,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X3,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ sum(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2583,plain,
    ~ sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2516,i_0_2280,i_0_2495,i_0_2562,i_0_2554,i_0_2539,i_0_1942,i_0_158,i_0_1177,i_0_1097,i_0_2029,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2584,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X2,X1)),
    inference(rename_variables,[],[i_0_1942]) ).

cnf(i_0_2585,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X1,X4,X5)
    | ~ sum(X2,X6,X4)
    | ~ sum(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2586,plain,
    ~ product(additive_inverse(additive_identity),additive_inverse(additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2516,i_0_2552,i_0_2280,i_0_2495,i_0_2562,i_0_2554,i_0_2474,i_0_2539,i_0_1942,i_0_158,i_0_1177,i_0_1097,i_0_2029,i_0_1606,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2587,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | sum(X3,X5,X7)
    | ~ product(X6,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2588,plain,
    ~ product(add(additive_identity,additive_identity),additive_identity,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2516,i_0_2552,i_0_2280,i_0_2495,i_0_2562,i_0_2554,i_0_2474,i_0_2539,i_0_2526,i_0_1942,i_0_158,i_0_1177,i_0_1097,i_0_2029,i_0_1606,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2589,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ sum(X5,X6,X7)
    | ~ product(X4,X6,X2)
    | ~ product(X4,X7,X3) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2590,plain,
    product(additive_identity,additive_identity,additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2516,i_0_2552,i_0_2280,i_0_2495,i_0_2562,i_0_2554,i_0_2474,i_0_2539,i_0_2526,i_0_2285,i_0_1618,i_0_1942,i_0_158,i_0_1177,i_0_1097,i_0_1300,i_0_2029,i_0_1606,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2591,plain,
    sum(multiply(additive_identity,X1),additive_identity,additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_1300]) ).

cnf(i_0_2592,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2285]) ).

cnf(i_0_2593,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_2594,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X3,X5)
    | product(X1,X6,X5)
    | ~ product(X1,X7,X4)
    | ~ sum(X7,X2,X6) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2595,plain,
    ~ sum(additive_identity,additive_identity,add(a,a)),
    inference(scs_inference,[],[i_0_2516,i_0_2552,i_0_2280,i_0_2495,i_0_2562,i_0_2554,i_0_2474,i_0_2539,i_0_2526,i_0_1998,i_0_2290,i_0_2285,i_0_1618,i_0_1942,i_0_158,i_0_1177,i_0_1097,i_0_1300,i_0_2029,i_0_1606,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2596,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X3,X5,X6)
    | product(X7,X2,X6)
    | ~ sum(X1,X4,X7) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2597,plain,
    equalish(multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2516,i_0_2552,i_0_2280,i_0_2495,i_0_2562,i_0_2554,i_0_2474,i_0_2539,i_0_2526,i_0_1998,i_0_2290,i_0_2285,i_0_1618,i_0_1942,i_0_158,i_0_1177,i_0_1097,i_0_1300,i_0_2591,i_0_2029,i_0_1606,i_0_2074,i_0_35,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19,i_0_26]) ).

cnf(i_0_2598,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_2599,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X3,X4)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_2600,plain,
    ~ sum(additive_inverse(additive_identity),add(additive_identity,additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2583,i_0_28]) ).

cnf(i_0_2601,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2602,plain,
    ~ product(multiply(additive_identity,X1),additive_inverse(additive_identity),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2570,i_0_2583,i_0_2567,i_0_2449,i_0_28,i_0_22]) ).

cnf(i_0_2603,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2567]) ).

cnf(i_0_2604,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2449]) ).

cnf(i_0_2605,plain,
    ~ product(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,additive_identity)),
    inference(rename_variables,[],[i_0_2570]) ).

cnf(i_0_2606,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X4,X3,X6)
    | ~ product(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2607,plain,
    ~ product(additive_identity,additive_inverse(additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2444,i_0_2570,i_0_2583,i_0_2567,i_0_2590,i_0_2449,i_0_2290,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2608,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ product(X6,X4,X1)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2609,plain,
    ~ sum(add(additive_identity,a),add(additive_identity,additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2444,i_0_2570,i_0_2583,i_0_2249,i_0_2567,i_0_2590,i_0_2449,i_0_2290,i_0_1956,i_0_1494,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2610,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2611,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ sum(X6,X4,X1)
    | ~ sum(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2612,plain,
    ~ sum(additive_identity,additive_inverse(additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2444,i_0_2570,i_0_2583,i_0_2249,i_0_2567,i_0_2595,i_0_2590,i_0_2449,i_0_2290,i_0_1956,i_0_1494,i_0_2610,i_0_644,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2613,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2614,plain,
    sum(additive_identity,add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_644]) ).

cnf(i_0_2615,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X2)
    | ~ sum(X1,X4,X6)
    | ~ sum(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2616,plain,
    ~ product(multiply(additive_identity,X1),additive_identity,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2530,i_0_2444,i_0_2570,i_0_2583,i_0_2249,i_0_2567,i_0_2595,i_0_2590,i_0_2449,i_0_2290,i_0_1956,i_0_1494,i_0_2610,i_0_1275,i_0_644,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2617,plain,
    ~ sum(additive_inverse(X1),X1,multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2530]) ).

cnf(i_0_2618,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X6,X3,X7)
    | ~ product(X4,X2,X6)
    | ~ product(X5,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2619,plain,
    ~ product(multiply(additive_identity,X1),add(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2530,i_0_2444,i_0_2570,i_0_2583,i_0_2249,i_0_2567,i_0_2571,i_0_2595,i_0_2590,i_0_2449,i_0_2416,i_0_2391,i_0_2290,i_0_1956,i_0_1494,i_0_2610,i_0_1576,i_0_1275,i_0_644,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2620,plain,
    product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2416]) ).

cnf(i_0_2621,plain,
    sum(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_1576]) ).

cnf(i_0_2622,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | ~ product(X1,X4,X6)
    | sum(X3,X6,X7)
    | ~ product(X1,X5,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2623,plain,
    ~ sum(add(additive_identity,additive_identity),additive_identity,add(a,a)),
    inference(scs_inference,[],[i_0_2530,i_0_2444,i_0_2570,i_0_2583,i_0_2249,i_0_2567,i_0_2571,i_0_2595,i_0_2590,i_0_1998,i_0_2449,i_0_2416,i_0_2391,i_0_2290,i_0_1956,i_0_1494,i_0_2610,i_0_2275,i_0_1576,i_0_1275,i_0_644,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_19]) ).

cnf(i_0_2624,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X3,X5)
    | product(X6,X2,X5)
    | ~ product(X7,X2,X4)
    | ~ sum(X7,X1,X6) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2625,plain,
    ( ~ product(add(a,additive_identity),add(additive_identity,additive_identity),add(additive_identity,additive_identity))
    | ~ product(add(a,additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_2530,i_0_2444,i_0_2570,i_0_2583,i_0_2249,i_0_2567,i_0_2571,i_0_2595,i_0_2590,i_0_2032,i_0_1998,i_0_2449,i_0_2416,i_0_2391,i_0_2290,i_0_1956,i_0_1494,i_0_2610,i_0_2613,i_0_2275,i_0_1576,i_0_692,i_0_1275,i_0_644,i_0_2152,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_19,i_0_18]) ).

cnf(i_0_2626,plain,
    sum(add(additive_identity,additive_identity),add(X1,X1),add(X1,X1)),
    inference(rename_variables,[],[i_0_692]) ).

cnf(i_0_2627,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2628,plain,
    ( ~ sum(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X4,X7,X2)
    | ~ sum(X6,X7,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2629,plain,
    ~ sum(add(additive_identity,additive_identity),add(additive_identity,a),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2609,i_0_28]) ).

cnf(i_0_2630,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2631,plain,
    ~ sum(multiply(additive_identity,X1),additive_identity,add(a,additive_identity)),
    inference(scs_inference,[],[i_0_530,i_0_2609,i_0_1996,i_0_28,i_0_27]) ).

cnf(i_0_2632,plain,
    equalish(add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_530]) ).

cnf(i_0_2633,plain,
    ( sum(X1,X2,X3)
    | ~ equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_2634,plain,
    ~ product(additive_inverse(additive_identity),add(additive_identity,X1),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_530,i_0_2609,i_0_2335,i_0_1996,i_0_2590,i_0_2285,i_0_28,i_0_27,i_0_22]) ).

cnf(i_0_2635,plain,
    ~ product(additive_identity,multiply(additive_identity,X1),add(additive_identity,a)),
    inference(rename_variables,[],[i_0_2335]) ).

cnf(i_0_2636,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2637,plain,
    ~ product(add(additive_identity,additive_identity),additive_inverse(additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_530,i_0_2609,i_0_2335,i_0_2378,i_0_1996,i_0_2590,i_0_2285,i_0_2029,i_0_28,i_0_27,i_0_22,i_0_23]) ).

cnf(i_0_2638,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X5,X2,X6)
    | ~ product(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2639,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2505,i_0_530,i_0_2609,i_0_2335,i_0_2378,i_0_1996,i_0_2590,i_0_1169,i_0_899,i_0_2285,i_0_2029,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24]) ).

cnf(i_0_2640,plain,
    sum(add(X1,additive_identity),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_899]) ).

cnf(i_0_2641,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X4,X3,X6)
    | ~ sum(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2642,plain,
    ~ product(add(additive_identity,additive_identity),X1,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2505,i_0_530,i_0_2542,i_0_2609,i_0_2335,i_0_2378,i_0_1996,i_0_2590,i_0_2449,i_0_1169,i_0_899,i_0_2640,i_0_2285,i_0_2029,i_0_295,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24,i_0_21]) ).

cnf(i_0_2643,plain,
    sum(add(X1,additive_identity),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_899]) ).

cnf(i_0_2644,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2449]) ).

cnf(i_0_2645,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2542]) ).

cnf(i_0_2646,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_2647,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | sum(X6,X5,X7)
    | ~ product(X4,X1,X6)
    | ~ product(X4,X3,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2648,plain,
    ~ sum(additive_identity,additive_identity,add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2505,i_0_530,i_0_2542,i_0_2609,i_0_2335,i_0_2397,i_0_2378,i_0_1996,i_0_2552,i_0_2590,i_0_2449,i_0_1169,i_0_899,i_0_2640,i_0_2285,i_0_158,i_0_2029,i_0_295,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24,i_0_21,i_0_18]) ).

cnf(i_0_2649,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X6,X7)
    | ~ sum(X5,X7,X3)
    | ~ sum(X4,X6,X2) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2650,plain,
    ~ product(multiply(additive_identity,X1),additive_inverse(additive_identity),a),
    inference(scs_inference,[],[i_0_2505,i_0_2573,i_0_530,i_0_2542,i_0_2609,i_0_2335,i_0_2397,i_0_2378,i_0_1996,i_0_2552,i_0_2590,i_0_2449,i_0_1169,i_0_899,i_0_2640,i_0_2285,i_0_158,i_0_1312,i_0_2029,i_0_36,i_0_295,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2651,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_2652,plain,
    ( ~ sum(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X6,X5,X1)
    | ~ product(X7,X5,X2)
    | ~ sum(X6,X7,X4) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2653,plain,
    ( ~ product(X1,additive_inverse(additive_identity),add(a,additive_identity))
    | ~ product(add(additive_identity,X1),additive_inverse(additive_identity),additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_2409,i_0_2505,i_0_2573,i_0_530,i_0_2542,i_0_2609,i_0_2335,i_0_2397,i_0_2378,i_0_1996,i_0_2552,i_0_2590,i_0_2449,i_0_1169,i_0_899,i_0_2640,i_0_2285,i_0_158,i_0_1312,i_0_644,i_0_2029,i_0_36,i_0_295,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24,i_0_21,i_0_18,i_0_19,i_0_20]) ).

cnf(i_0_2654,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5)
    | ~ product(X3,X7,X6) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2655,plain,
    ~ sum(additive_identity,add(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2623,i_0_28]) ).

cnf(i_0_2656,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2657,plain,
    ~ sum(add(additive_identity,additive_identity),add(additive_identity,a),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2629,i_0_2623,i_0_2597,i_0_28,i_0_27]) ).

cnf(i_0_2658,plain,
    ( ~ equalish(X1,X2)
    | sum(X3,X4,X2)
    | ~ sum(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_2659,plain,
    ~ product(multiply(additive_identity,X1),additive_inverse(additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2642,i_0_2629,i_0_2623,i_0_2597,i_0_2567,i_0_2449,i_0_28,i_0_27,i_0_22]) ).

cnf(i_0_2660,plain,
    ~ product(add(additive_identity,additive_identity),X1,multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2642]) ).

cnf(i_0_2661,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2567]) ).

cnf(i_0_2662,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2449]) ).

cnf(i_0_2663,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2664,plain,
    ~ product(additive_identity,add(additive_identity,additive_identity),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2642,i_0_2607,i_0_2629,i_0_2623,i_0_2597,i_0_2567,i_0_2554,i_0_2449,i_0_2043,i_0_28,i_0_27,i_0_22,i_0_23]) ).

cnf(i_0_2665,plain,
    ( ~ product(X1,X2,X3)
    | product(X3,X4,X5)
    | ~ product(X2,X4,X6)
    | ~ product(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2666,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,a)),
    inference(scs_inference,[],[i_0_2642,i_0_2607,i_0_2629,i_0_2623,i_0_2612,i_0_2597,i_0_2567,i_0_2554,i_0_1202,i_0_621,i_0_2449,i_0_2043,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2667,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X5,X2,X6)
    | ~ sum(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2668,plain,
    ~ product(additive_identity,additive_inverse(additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2642,i_0_2607,i_0_2629,i_0_2623,i_0_2612,i_0_2597,i_0_2567,i_0_2554,i_0_1202,i_0_621,i_0_2449,i_0_783,i_0_2552,i_0_2043,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_20]) ).

cnf(i_0_2669,plain,
    sum(add(X1,additive_identity),additive_identity,X1),
    inference(rename_variables,[],[i_0_783]) ).

cnf(i_0_2670,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X6,X5,X2)
    | ~ sum(X4,X6,X7)
    | ~ product(X7,X5,X3) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2671,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2642,i_0_2607,i_0_2629,i_0_2623,i_0_2612,i_0_2597,i_0_2567,i_0_2554,i_0_2491,i_0_2391,i_0_1202,i_0_621,i_0_2449,i_0_51,i_0_783,i_0_2552,i_0_2043,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_20,i_0_21]) ).

cnf(i_0_2672,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2391]) ).

cnf(i_0_2673,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_2491]) ).

cnf(i_0_2674,plain,
    sum(multiply(X1,additive_identity),multiply(X1,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_2675,plain,
    ( ~ product(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ product(X1,X6,X4)
    | ~ sum(X6,X2,X7)
    | ~ product(X1,X7,X5) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2676,plain,
    product(additive_identity,multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2642,i_0_2607,i_0_2629,i_0_2623,i_0_2612,i_0_2597,i_0_2567,i_0_2590,i_0_2554,i_0_2491,i_0_2391,i_0_1202,i_0_621,i_0_2449,i_0_1305,i_0_51,i_0_783,i_0_2552,i_0_2043,i_0_1204,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2677,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X3,X5,X6)
    | product(X1,X7,X6)
    | ~ sum(X2,X4,X7) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2678,plain,
    ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2642,i_0_2660,i_0_2607,i_0_2629,i_0_2623,i_0_2612,i_0_2597,i_0_2567,i_0_2661,i_0_2590,i_0_2554,i_0_2491,i_0_2391,i_0_1202,i_0_621,i_0_2449,i_0_1305,i_0_51,i_0_2674,i_0_783,i_0_2552,i_0_2043,i_0_1204,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2679,plain,
    ~ product(add(additive_identity,additive_identity),X1,multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2642]) ).

cnf(i_0_2680,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2567]) ).

cnf(i_0_2681,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2567]) ).

cnf(i_0_2682,plain,
    sum(multiply(X1,additive_identity),multiply(X1,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_2683,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ product(X6,X2,X7)
    | ~ sum(X5,X7,X3)
    | ~ sum(X4,X6,X1) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2684,plain,
    ~ sum(multiply(additive_identity,X1),add(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2642,i_0_2660,i_0_2607,i_0_2629,i_0_2623,i_0_2612,i_0_2597,i_0_2567,i_0_2661,i_0_2590,i_0_2554,i_0_2491,i_0_2391,i_0_1202,i_0_621,i_0_573,i_0_2449,i_0_1305,i_0_51,i_0_2674,i_0_783,i_0_2552,i_0_2043,i_0_1204,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_20,i_0_21,i_0_18,i_0_19,i_0_24]) ).

cnf(i_0_2685,plain,
    sum(additive_inverse(X1),add(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_573]) ).

cnf(i_0_2686,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ sum(X4,X6,X2)
    | ~ sum(X5,X6,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2687,plain,
    ~ sum(add(additive_identity,a),add(additive_identity,additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2657,i_0_28]) ).

cnf(i_0_2688,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2689,plain,
    ~ product(multiply(a,additive_identity),multiply(additive_identity,X1),additive_identity),
    inference(scs_inference,[],[i_0_2216,i_0_2657,i_0_2676,i_0_2288,i_0_28,i_0_22]) ).

cnf(i_0_2690,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2691,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X4,X3,X6)
    | ~ product(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2692,plain,
    ~ product(multiply(a,additive_identity),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2216,i_0_2569,i_0_2657,i_0_2676,i_0_2288,i_0_2690,i_0_2230,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2693,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2694,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ product(X6,X4,X1)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2695,plain,
    ~ sum(multiply(additive_identity,X1),additive_identity,add(a,a)),
    inference(scs_inference,[],[i_0_2216,i_0_2569,i_0_2657,i_0_2684,i_0_2676,i_0_2288,i_0_2690,i_0_1067,i_0_1478,i_0_2230,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2696,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1067]) ).

cnf(i_0_2697,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_1478]) ).

cnf(i_0_2698,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X3,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ sum(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2699,plain,
    ~ sum(add(additive_identity,X1),additive_inverse(X1),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2216,i_0_2569,i_0_2657,i_0_2684,i_0_2676,i_0_2530,i_0_2288,i_0_2690,i_0_1067,i_0_121,i_0_1478,i_0_1945,i_0_2230,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2700,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_1945]) ).

cnf(i_0_2701,plain,
    ~ sum(additive_inverse(X1),X1,multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2530]) ).

cnf(i_0_2702,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X1,X5,X6)
    | ~ sum(X3,X4,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2703,plain,
    ~ product(additive_inverse(additive_identity),add(additive_identity,X1),add(a,additive_identity)),
    inference(scs_inference,[],[i_0_2216,i_0_2569,i_0_2657,i_0_2684,i_0_2639,i_0_2676,i_0_2530,i_0_2288,i_0_2690,i_0_1067,i_0_121,i_0_1478,i_0_1945,i_0_2230,i_0_2285,i_0_1606,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2704,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2285]) ).

cnf(i_0_2705,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),add(a,additive_identity)),
    inference(rename_variables,[],[i_0_2639]) ).

cnf(i_0_2706,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | sum(X3,X5,X7)
    | ~ product(X6,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2707,plain,
    ~ product(multiply(a,additive_identity),additive_identity,add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2678,i_0_2216,i_0_2569,i_0_2657,i_0_2684,i_0_2639,i_0_2676,i_0_2530,i_0_2567,i_0_2288,i_0_2690,i_0_1067,i_0_121,i_0_1478,i_0_2697,i_0_1945,i_0_2230,i_0_2285,i_0_1606,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2708,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2567]) ).

cnf(i_0_2709,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_1478]) ).

cnf(i_0_2710,plain,
    product(multiply(X1,additive_identity),add(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2074]) ).

cnf(i_0_2711,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ sum(X5,X6,X7)
    | ~ product(X4,X6,X2)
    | ~ product(X4,X7,X3) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2712,plain,
    product(additive_identity,additive_identity,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2678,i_0_2216,i_0_2569,i_0_2657,i_0_2684,i_0_2639,i_0_2676,i_0_2530,i_0_2567,i_0_2288,i_0_2690,i_0_1067,i_0_2696,i_0_121,i_0_2284,i_0_1478,i_0_2697,i_0_1945,i_0_2230,i_0_2285,i_0_2063,i_0_1606,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2713,plain,
    product(additive_identity,multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2676]) ).

cnf(i_0_2714,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1067]) ).

cnf(i_0_2715,plain,
    product(additive_identity,multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2284]) ).

cnf(i_0_2716,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X3,X5)
    | product(X1,X6,X5)
    | ~ product(X1,X7,X4)
    | ~ sum(X7,X2,X6) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2717,plain,
    product(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2678,i_0_2216,i_0_2569,i_0_2657,i_0_2684,i_0_2639,i_0_2676,i_0_2530,i_0_2567,i_0_2288,i_0_2690,i_0_1067,i_0_2696,i_0_121,i_0_2491,i_0_2284,i_0_1478,i_0_2697,i_0_1945,i_0_655,i_0_2230,i_0_2285,i_0_2063,i_0_1606,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2718,plain,
    product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_2491]) ).

cnf(i_0_2719,plain,
    sum(add(X1,X1),add(additive_identity,additive_identity),add(X1,X1)),
    inference(rename_variables,[],[i_0_655]) ).

cnf(i_0_2720,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2063]) ).

cnf(i_0_2721,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X3,X5,X6)
    | product(X7,X2,X6)
    | ~ sum(X1,X4,X7) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2722,plain,
    ~ sum(add(additive_identity,additive_identity),add(additive_identity,a),additive_identity),
    inference(scs_inference,[],[i_0_2678,i_0_2216,i_0_2569,i_0_2657,i_0_2684,i_0_2639,i_0_2676,i_0_2268,i_0_2530,i_0_2567,i_0_2288,i_0_2690,i_0_1067,i_0_2696,i_0_121,i_0_2491,i_0_2284,i_0_1478,i_0_2697,i_0_1945,i_0_655,i_0_2230,i_0_2285,i_0_2063,i_0_1606,i_0_2074,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19,i_0_27]) ).

cnf(i_0_2723,plain,
    equalish(additive_identity,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2268]) ).

cnf(i_0_2724,plain,
    ( ~ equalish(X1,X2)
    | sum(X3,X4,X2)
    | ~ sum(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_2725,plain,
    ~ sum(additive_inverse(X1),add(additive_identity,X1),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2699,i_0_28]) ).

cnf(i_0_2726,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2727,plain,
    ~ product(additive_inverse(additive_identity),additive_identity,a),
    inference(scs_inference,[],[i_0_2565,i_0_2699,i_0_2590,i_0_28,i_0_22]) ).

cnf(i_0_2728,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2729,plain,
    ~ product(additive_identity,add(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2565,i_0_2699,i_0_2671,i_0_2717,i_0_2712,i_0_2590,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2730,plain,
    product(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_2717]) ).

cnf(i_0_2731,plain,
    product(additive_identity,additive_identity,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2712]) ).

cnf(i_0_2732,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X5,X2,X6)
    | ~ product(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2733,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(a),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2565,i_0_2699,i_0_2671,i_0_2722,i_0_2717,i_0_2712,i_0_2590,i_0_573,i_0_951,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2734,plain,
    sum(additive_inverse(X1),add(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_573]) ).

cnf(i_0_2735,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_2736,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ sum(X6,X4,X1)
    | ~ sum(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2737,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2565,i_0_2699,i_0_2666,i_0_2671,i_0_2722,i_0_2717,i_0_2712,i_0_2590,i_0_1177,i_0_573,i_0_951,i_0_1275,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2738,plain,
    sum(additive_identity,additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1177]) ).

cnf(i_0_2739,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ sum(X4,X1,X6)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2740,plain,
    ~ product(multiply(a,additive_identity),multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2565,i_0_2699,i_0_2666,i_0_2671,i_0_2722,i_0_2717,i_0_2712,i_0_2678,i_0_2567,i_0_2590,i_0_2288,i_0_1177,i_0_2738,i_0_573,i_0_951,i_0_1275,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21]) ).

cnf(i_0_2741,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2742,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2567]) ).

cnf(i_0_2743,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | ~ product(X1,X4,X6)
    | sum(X3,X6,X7)
    | ~ product(X1,X5,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2744,plain,
    ( ~ product(multiply(additive_identity,X1),additive_identity,add(a,a))
    | ~ product(additive_inverse(additive_identity),additive_identity,add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_2565,i_0_2699,i_0_2666,i_0_2671,i_0_2722,i_0_2717,i_0_2712,i_0_2731,i_0_2678,i_0_2567,i_0_2590,i_0_2288,i_0_1177,i_0_2738,i_0_1160,i_0_573,i_0_951,i_0_1275,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_20]) ).

cnf(i_0_2745,plain,
    product(additive_identity,additive_identity,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2712]) ).

cnf(i_0_2746,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X6,X3,X7)
    | ~ product(X4,X2,X6)
    | ~ product(X5,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2747,plain,
    ( ~ sum(X1,add(additive_identity,additive_identity),multiply(a,additive_identity))
    | ~ product(X1,additive_inverse(additive_identity),additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_2565,i_0_2699,i_0_2666,i_0_2671,i_0_2722,i_0_2717,i_0_2712,i_0_2731,i_0_2678,i_0_2216,i_0_2567,i_0_2590,i_0_2288,i_0_1504,i_0_2554,i_0_1177,i_0_2738,i_0_1160,i_0_573,i_0_951,i_0_1275,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_21,i_0_20,i_0_19]) ).

cnf(i_0_2748,plain,
    sum(additive_inverse(additive_identity),add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_1504]) ).

cnf(i_0_2749,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X3,X5)
    | product(X6,X2,X5)
    | ~ product(X7,X2,X4)
    | ~ sum(X7,X1,X6) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2750,plain,
    ~ sum(additive_inverse(a),multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2733,i_0_28]) ).

cnf(i_0_2751,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2752,plain,
    ~ product(multiply(a,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_2692,i_0_2733,i_0_2676,i_0_2288,i_0_28,i_0_22]) ).

cnf(i_0_2753,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2754,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2755,plain,
    ~ sum(additive_inverse(additive_identity),additive_identity,add(a,a)),
    inference(scs_inference,[],[i_0_2692,i_0_2733,i_0_2655,i_0_2676,i_0_2288,i_0_331,i_0_888,i_0_28,i_0_22,i_0_25]) ).

cnf(i_0_2756,plain,
    sum(multiply(additive_identity,X1),add(X2,additive_identity),X2),
    inference(rename_variables,[],[i_0_888]) ).

cnf(i_0_2757,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X5,X2,X6)
    | ~ sum(X4,X3,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2758,plain,
    ~ sum(additive_identity,multiply(additive_identity,X1),add(a,a)),
    inference(scs_inference,[],[i_0_2692,i_0_2733,i_0_2655,i_0_2695,i_0_2676,i_0_2288,i_0_331,i_0_339,i_0_888,i_0_28,i_0_22,i_0_25,i_0_24]) ).

cnf(i_0_2759,plain,
    ~ sum(multiply(additive_identity,X1),additive_identity,add(a,a)),
    inference(rename_variables,[],[i_0_2695]) ).

cnf(i_0_2760,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ sum(X4,X6,X2)
    | ~ sum(X5,X6,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2761,plain,
    equalish(multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2692,i_0_2733,i_0_2655,i_0_2695,i_0_2676,i_0_2288,i_0_331,i_0_339,i_0_888,i_0_1551,i_0_35,i_0_28,i_0_22,i_0_25,i_0_24,i_0_26]) ).

cnf(i_0_2762,plain,
    sum(X1,additive_identity,X1),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_2763,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X3,X4)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_2764,plain,
    ~ product(multiply(additive_identity,X1),additive_identity,a),
    inference(scs_inference,[],[i_0_31,i_0_2692,i_0_2733,i_0_2655,i_0_2695,i_0_2712,i_0_2676,i_0_2288,i_0_2391,i_0_331,i_0_339,i_0_888,i_0_1551,i_0_35,i_0_28,i_0_22,i_0_25,i_0_24,i_0_26,i_0_23]) ).

cnf(i_0_2765,plain,
    product(additive_identity,additive_identity,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2712]) ).

cnf(i_0_2766,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X6,X3) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2767,plain,
    ( ~ product(additive_inverse(additive_identity),X1,add(a,additive_identity))
    | ~ product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_31,i_0_2420,i_0_2692,i_0_2733,i_0_2655,i_0_2695,i_0_2712,i_0_2676,i_0_2288,i_0_2391,i_0_331,i_0_339,i_0_888,i_0_1551,i_0_1305,i_0_35,i_0_28,i_0_22,i_0_25,i_0_24,i_0_26,i_0_23,i_0_20]) ).

cnf(i_0_2768,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5)
    | ~ product(X3,X7,X6) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2769,plain,
    ( ~ product(multiply(additive_identity,additive_identity),X1,add(a,additive_identity))
    | ~ product(multiply(additive_identity,additive_identity),add(X1,additive_identity),additive_identity) ),
    inference(scs_inference,[],[i_0_31,i_0_2420,i_0_2692,i_0_2733,i_0_2655,i_0_2579,i_0_2695,i_0_2712,i_0_2676,i_0_2567,i_0_2288,i_0_1618,i_0_2391,i_0_331,i_0_339,i_0_888,i_0_1551,i_0_1305,i_0_35,i_0_28,i_0_22,i_0_25,i_0_24,i_0_26,i_0_23,i_0_20,i_0_21]) ).

cnf(i_0_2770,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2567]) ).

cnf(i_0_2771,plain,
    ~ sum(additive_identity,multiply(additive_identity,X1),add(a,additive_identity)),
    inference(rename_variables,[],[i_0_2579]) ).

cnf(i_0_2772,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | sum(X6,X3,X7)
    | ~ product(X1,X4,X6)
    | ~ product(X1,X5,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2773,plain,
    ~ sum(additive_inverse(additive_identity),multiply(additive_identity,X1),add(a,a)),
    inference(scs_inference,[],[i_0_2737,i_0_28]) ).

cnf(i_0_2774,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2775,plain,
    ~ sum(additive_inverse(a),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_2761,i_0_2750,i_0_2737,i_0_28,i_0_27]) ).

cnf(i_0_2776,plain,
    ( sum(X1,X2,X3)
    | ~ equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_2777,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(a,a)),
    inference(scs_inference,[],[i_0_2761,i_0_2750,i_0_2737,i_0_2668,i_0_2712,i_0_2676,i_0_28,i_0_27,i_0_22]) ).

cnf(i_0_2778,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X4,X3,X6)
    | ~ product(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2779,plain,
    ~ product(multiply(a,additive_identity),add(additive_identity,additive_identity),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2740,i_0_2761,i_0_2750,i_0_2737,i_0_2668,i_0_2717,i_0_2712,i_0_2676,i_0_2288,i_0_28,i_0_27,i_0_22,i_0_23]) ).

cnf(i_0_2780,plain,
    product(multiply(X1,additive_identity),additive_identity,multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2288]) ).

cnf(i_0_2781,plain,
    product(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_2717]) ).

cnf(i_0_2782,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X2,X4,X5)
    | product(X3,X4,X6)
    | ~ product(X1,X5,X6) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2783,plain,
    ~ sum(add(a,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_2687,i_0_2740,i_0_2761,i_0_2750,i_0_2737,i_0_2668,i_0_2717,i_0_2712,i_0_2676,i_0_1942,i_0_1169,i_0_2288,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2784,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X2,X1)),
    inference(rename_variables,[],[i_0_1942]) ).

cnf(i_0_2785,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X3,X4,X5)
    | ~ sum(X2,X4,X6)
    | ~ sum(X1,X6,X5) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2786,plain,
    ~ sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2687,i_0_2740,i_0_2761,i_0_2750,i_0_2737,i_0_2758,i_0_2668,i_0_2717,i_0_2712,i_0_2676,i_0_1942,i_0_1169,i_0_1067,i_0_2288,i_0_1576,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2787,plain,
    sum(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_1576]) ).

cnf(i_0_2788,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1067]) ).

cnf(i_0_2789,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X1,X5,X6)
    | ~ sum(X3,X4,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2790,plain,
    ~ product(multiply(additive_identity,X1),additive_identity,add(a,a)),
    inference(scs_inference,[],[i_0_2687,i_0_2740,i_0_2761,i_0_2750,i_0_2737,i_0_2758,i_0_2668,i_0_2717,i_0_2712,i_0_2676,i_0_2590,i_0_1942,i_0_1169,i_0_1067,i_0_2288,i_0_1576,i_0_1204,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2791,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(additive_identity),add(a,a)),
    inference(rename_variables,[],[i_0_2737]) ).

cnf(i_0_2792,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X6,X5,X2)
    | ~ sum(X4,X6,X7)
    | ~ product(X7,X5,X3) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2793,plain,
    ~ sum(multiply(a,additive_identity),add(additive_identity,additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2687,i_0_2740,i_0_2761,i_0_2659,i_0_2750,i_0_2737,i_0_2758,i_0_2668,i_0_2717,i_0_2712,i_0_2676,i_0_2567,i_0_2590,i_0_1942,i_0_1169,i_0_1067,i_0_2288,i_0_1576,i_0_955,i_0_1204,i_0_295,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_19]) ).

cnf(i_0_2794,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2567]) ).

cnf(i_0_2795,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2796,plain,
    product(add(additive_identity,additive_identity),X1,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_295]) ).

cnf(i_0_2797,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X5,X6,X3)
    | ~ product(X7,X2,X6)
    | ~ sum(X4,X7,X1) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2798,plain,
    ( ~ product(additive_identity,add(X1,X1),add(a,additive_identity))
    | ~ product(additive_identity,add(X1,X1),add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_2600,i_0_2687,i_0_2740,i_0_2761,i_0_2659,i_0_2750,i_0_2737,i_0_2758,i_0_2668,i_0_2717,i_0_2712,i_0_2676,i_0_2567,i_0_2590,i_0_1942,i_0_1169,i_0_1067,i_0_2288,i_0_1576,i_0_692,i_0_955,i_0_2230,i_0_1204,i_0_295,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_19,i_0_21]) ).

cnf(i_0_2799,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5)
    | ~ product(X7,X3,X6) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2800,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X1),add(a,a)),
    inference(scs_inference,[],[i_0_2600,i_0_2687,i_0_2740,i_0_2761,i_0_2659,i_0_2750,i_0_2737,i_0_2758,i_0_2668,i_0_2671,i_0_2717,i_0_2712,i_0_2676,i_0_2416,i_0_2567,i_0_2590,i_0_1942,i_0_1169,i_0_1067,i_0_2288,i_0_1576,i_0_692,i_0_955,i_0_2230,i_0_1204,i_0_295,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_19,i_0_21,i_0_18]) ).

cnf(i_0_2801,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,additive_identity),add(a,a)),
    inference(rename_variables,[],[i_0_2671]) ).

cnf(i_0_2802,plain,
    sum(additive_identity,additive_identity,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1204]) ).

cnf(i_0_2803,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X6,X7)
    | ~ sum(X5,X7,X3)
    | ~ sum(X4,X6,X2) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2804,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(a,additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2793,i_0_28]) ).

cnf(i_0_2805,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2806,plain,
    ~ sum(multiply(a,additive_identity),add(additive_identity,additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2793,i_0_2457,i_0_28,i_0_27]) ).

cnf(i_0_2807,plain,
    equalish(additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2457]) ).

cnf(i_0_2808,plain,
    ( ~ equalish(X1,X2)
    | sum(X3,X4,X2)
    | ~ sum(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_2809,plain,
    ~ product(additive_inverse(additive_identity),multiply(additive_identity,X1),multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2793,i_0_2664,i_0_2457,i_0_2676,i_0_2491,i_0_28,i_0_27,i_0_22]) ).

cnf(i_0_2810,plain,
    product(additive_identity,multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2676]) ).

cnf(i_0_2811,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2812,plain,
    ~ product(additive_identity,multiply(additive_identity,X1),add(a,a)),
    inference(scs_inference,[],[i_0_2793,i_0_2777,i_0_2664,i_0_2457,i_0_2676,i_0_2449,i_0_2491,i_0_2285,i_0_28,i_0_27,i_0_22,i_0_23]) ).

cnf(i_0_2813,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2449]) ).

cnf(i_0_2814,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,X2),add(a,a)),
    inference(rename_variables,[],[i_0_2777]) ).

cnf(i_0_2815,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2285]) ).

cnf(i_0_2816,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X2,X5)
    | ~ product(X6,X1,X4)
    | ~ product(X6,X3,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2817,plain,
    ~ sum(additive_inverse(additive_identity),add(a,additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2793,i_0_2777,i_0_2783,i_0_2664,i_0_2457,i_0_2676,i_0_899,i_0_2449,i_0_2491,i_0_1504,i_0_2285,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2818,plain,
    ~ sum(add(a,additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2783]) ).

cnf(i_0_2819,plain,
    sum(add(X1,additive_identity),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_899]) ).

cnf(i_0_2820,plain,
    sum(additive_inverse(additive_identity),add(X1,additive_identity),X1),
    inference(rename_variables,[],[i_0_1504]) ).

cnf(i_0_2821,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | ~ sum(X6,X4,X1)
    | ~ sum(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2822,plain,
    ~ sum(additive_inverse(additive_identity),additive_inverse(additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2793,i_0_2800,i_0_2777,i_0_2783,i_0_2664,i_0_2457,i_0_2676,i_0_899,i_0_2449,i_0_2491,i_0_1504,i_0_1300,i_0_1177,i_0_2285,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2823,plain,
    sum(additive_identity,additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1177]) ).

cnf(i_0_2824,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X1),add(a,a)),
    inference(rename_variables,[],[i_0_2800]) ).

cnf(i_0_2825,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ sum(X4,X1,X6)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2826,plain,
    ~ product(additive_inverse(additive_identity),additive_identity,add(a,a)),
    inference(scs_inference,[],[i_0_2793,i_0_2800,i_0_2824,i_0_2777,i_0_2783,i_0_2664,i_0_2457,i_0_2712,i_0_2676,i_0_899,i_0_2449,i_0_2491,i_0_1504,i_0_1300,i_0_1177,i_0_2285,i_0_1606,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2827,plain,
    product(additive_identity,additive_identity,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2712]) ).

cnf(i_0_2828,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | sum(X3,X5,X7)
    | ~ product(X6,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2829,plain,
    ~ product(additive_identity,multiply(additive_identity,X1),additive_inverse(a)),
    inference(scs_inference,[],[i_0_2793,i_0_2800,i_0_2824,i_0_2777,i_0_2783,i_0_2664,i_0_2775,i_0_2457,i_0_2712,i_0_2827,i_0_2676,i_0_899,i_0_2449,i_0_2491,i_0_1504,i_0_1300,i_0_1177,i_0_2285,i_0_1606,i_0_29,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2830,plain,
    ~ sum(additive_inverse(a),multiply(additive_identity,X1),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2775]) ).

cnf(i_0_2831,plain,
    product(X1,X2,multiply(X1,X2)),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_2832,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X4,X6,X2)
    | ~ sum(X5,X6,X7)
    | ~ product(X4,X7,X3) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2833,plain,
    product(additive_identity,multiply(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2793,i_0_2800,i_0_2824,i_0_2777,i_0_2783,i_0_2664,i_0_2775,i_0_2457,i_0_2717,i_0_2712,i_0_2827,i_0_2676,i_0_899,i_0_621,i_0_2449,i_0_2491,i_0_1504,i_0_1300,i_0_51,i_0_1177,i_0_2285,i_0_1606,i_0_29,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2834,plain,
    product(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_2717]) ).

cnf(i_0_2835,plain,
    sum(multiply(X1,additive_identity),multiply(X1,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_2836,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X3,X5,X6)
    | product(X1,X7,X6)
    | ~ sum(X2,X4,X7) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2837,plain,
    product(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2793,i_0_2800,i_0_2824,i_0_2777,i_0_2783,i_0_2664,i_0_2775,i_0_2457,i_0_2717,i_0_2712,i_0_2827,i_0_2676,i_0_899,i_0_1097,i_0_621,i_0_2590,i_0_2449,i_0_2491,i_0_1504,i_0_1300,i_0_51,i_0_1177,i_0_2285,i_0_1606,i_0_29,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2838,plain,
    sum(additive_inverse(additive_identity),multiply(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1097]) ).

cnf(i_0_2839,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X3,X4,X5)
    | ~ product(X6,X2,X4)
    | product(X7,X2,X5)
    | ~ sum(X1,X6,X7) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2840,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,additive_identity),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2793,i_0_2800,i_0_2824,i_0_2777,i_0_2783,i_0_2664,i_0_2775,i_0_2457,i_0_2717,i_0_2712,i_0_2827,i_0_2676,i_0_899,i_0_1097,i_0_621,i_0_2590,i_0_2449,i_0_2491,i_0_1504,i_0_1300,i_0_51,i_0_1177,i_0_2285,i_0_1606,i_0_29,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19,i_0_527]) ).

cnf(i_0_2841,plain,
    ( ~ product(X1,X2,X1)
    | product(add(X3,X1),X2,add(X3,X1))
    | ~ product(X3,X2,X3) ),
    inference(rename_variables,[],[i_0_527]) ).

cnf(i_0_2842,plain,
    product(additive_inverse(additive_identity),multiply(additive_identity,additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2833,i_0_1611]) ).

cnf(i_0_2843,plain,
    ( ~ product(additive_identity,X1,additive_identity)
    | product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity)) ),
    inference(rename_variables,[],[i_0_1611]) ).

cnf(i_0_2844,plain,
    product(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2840,i_0_2833,i_0_1611,i_0_315]) ).

cnf(i_0_2845,plain,
    ( ~ product(add(X1,X1),X2,add(X1,X1))
    | product(multiply(additive_identity,X1),X2,multiply(additive_identity,X1)) ),
    inference(rename_variables,[],[i_0_315]) ).

cnf(i_0_2846,plain,
    product(multiply(X1,additive_identity),multiply(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(scs_inference,[],[i_0_2840,i_0_2833,i_0_1611,i_0_315,i_0_702]) ).

cnf(i_0_2847,plain,
    ( ~ product(add(additive_identity,additive_identity),X1,add(additive_identity,additive_identity))
    | product(multiply(X2,additive_identity),X1,multiply(X2,additive_identity)) ),
    inference(rename_variables,[],[i_0_702]) ).

cnf(i_0_2848,plain,
    ~ sum(additive_inverse(additive_identity),add(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2840,i_0_2786,i_0_2833,i_0_1611,i_0_315,i_0_702,i_0_28]) ).

cnf(i_0_2849,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2850,plain,
    ~ product(additive_inverse(additive_identity),multiply(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2840,i_0_2729,i_0_2786,i_0_2833,i_0_2230,i_0_1611,i_0_315,i_0_702,i_0_28,i_0_22]) ).

cnf(i_0_2851,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2852,plain,
    ~ product(additive_inverse(additive_identity),multiply(additive_identity,X1),add(a,a)),
    inference(scs_inference,[],[i_0_2840,i_0_2729,i_0_2786,i_0_2790,i_0_2837,i_0_2833,i_0_2712,i_0_2230,i_0_1611,i_0_315,i_0_702,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2853,plain,
    ~ product(multiply(additive_identity,X1),additive_identity,add(a,a)),
    inference(rename_variables,[],[i_0_2790]) ).

cnf(i_0_2854,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X6,X3) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2855,plain,
    ~ sum(add(a,additive_identity),additive_inverse(additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2840,i_0_2729,i_0_2786,i_0_2817,i_0_2790,i_0_2837,i_0_2833,i_0_2712,i_0_1494,i_0_1478,i_0_2230,i_0_1611,i_0_315,i_0_702,i_0_28,i_0_22,i_0_23,i_0_24]) ).

cnf(i_0_2856,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,X1),X1),
    inference(rename_variables,[],[i_0_1478]) ).

cnf(i_0_2857,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2858,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ sum(X4,X6,X2)
    | ~ sum(X5,X6,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2859,plain,
    ~ product(additive_identity,additive_identity,add(a,a)),
    inference(scs_inference,[],[i_0_2840,i_0_2729,i_0_2786,i_0_2773,i_0_2817,i_0_2790,i_0_2837,i_0_2833,i_0_2712,i_0_1494,i_0_2857,i_0_1478,i_0_2230,i_0_2152,i_0_1611,i_0_315,i_0_702,i_0_28,i_0_22,i_0_23,i_0_24,i_0_20]) ).

cnf(i_0_2860,plain,
    product(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2837]) ).

cnf(i_0_2861,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2862,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X6,X3,X7)
    | ~ product(X4,X2,X6)
    | ~ product(X5,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2863,plain,
    ~ product(multiply(a,additive_identity),additive_identity,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2840,i_0_2729,i_0_2786,i_0_2773,i_0_2817,i_0_2790,i_0_2837,i_0_2833,i_0_2266,i_0_2712,i_0_1494,i_0_2857,i_0_2567,i_0_1478,i_0_158,i_0_2230,i_0_2152,i_0_1611,i_0_315,i_0_702,i_0_28,i_0_22,i_0_23,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2864,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2567]) ).

cnf(i_0_2865,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X2,X4,X6)
    | sum(X3,X5,X7)
    | ~ product(X1,X6,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2866,plain,
    product(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2840,i_0_2729,i_0_2786,i_0_2773,i_0_2817,i_0_2790,i_0_2837,i_0_2833,i_0_2266,i_0_2712,i_0_2676,i_0_1494,i_0_2857,i_0_2567,i_0_1478,i_0_1160,i_0_158,i_0_951,i_0_2230,i_0_2152,i_0_1611,i_0_315,i_0_702,i_0_28,i_0_22,i_0_23,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2867,plain,
    product(additive_identity,multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2676]) ).

cnf(i_0_2868,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_2869,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X3,X5)
    | product(X1,X6,X5)
    | ~ product(X1,X7,X4)
    | ~ sum(X7,X2,X6) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2870,plain,
    ( ~ product(multiply(additive_identity,additive_identity),a,a)
    | product(multiply(additive_identity,additive_identity),a,a) ),
    inference(scs_inference,[],[i_0_2840,i_0_2729,i_0_2786,i_0_2773,i_0_2817,i_0_2790,i_0_2837,i_0_2833,i_0_2266,i_0_2712,i_0_2676,i_0_1494,i_0_2857,i_0_2567,i_0_1478,i_0_1160,i_0_158,i_0_951,i_0_2230,i_0_2152,i_0_1611,i_0_315,i_0_702,i_0_28,i_0_22,i_0_23,i_0_24,i_0_20,i_0_21,i_0_18,i_0_782]) ).

cnf(i_0_2871,plain,
    ( ~ product(X1,multiply(additive_identity,X2),multiply(additive_identity,X2))
    | product(X1,a,a)
    | ~ product(X1,a,a) ),
    inference(rename_variables,[],[i_0_782]) ).

cnf(i_0_2873,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(a,additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2806,i_0_28]) ).

cnf(i_0_2874,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2875,plain,
    ~ product(multiply(additive_identity,X1),additive_inverse(additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2806,i_0_2271,i_0_2837,i_0_2552,i_0_28,i_0_22]) ).

cnf(i_0_2876,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X4,X3,X6)
    | ~ product(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2877,plain,
    ~ product(add(additive_identity,additive_identity),multiply(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2846,i_0_2806,i_0_2812,i_0_2271,i_0_2837,i_0_2552,i_0_2170,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2878,plain,
    product(add(additive_identity,additive_identity),multiply(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_2170]) ).

cnf(i_0_2879,plain,
    product(multiply(X1,additive_identity),multiply(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2846]) ).

cnf(i_0_2880,plain,
    ~ product(additive_identity,multiply(additive_identity,X1),add(a,a)),
    inference(rename_variables,[],[i_0_2812]) ).

cnf(i_0_2881,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X2,X4,X5)
    | product(X3,X4,X6)
    | ~ product(X1,X5,X6) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2882,plain,
    ~ sum(additive_identity,add(a,additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2846,i_0_2806,i_0_2812,i_0_2271,i_0_2629,i_0_2837,i_0_121,i_0_1945,i_0_2552,i_0_2170,i_0_28,i_0_22,i_0_23,i_0_24]) ).

cnf(i_0_2883,plain,
    sum(add(X1,additive_identity),additive_inverse(X1),additive_identity),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_2884,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_1945]) ).

cnf(i_0_2885,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X1,X5,X6)
    | ~ sum(X3,X4,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2886,plain,
    ~ product(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,a)),
    inference(scs_inference,[],[i_0_2848,i_0_2846,i_0_2806,i_0_2812,i_0_2271,i_0_2629,i_0_2837,i_0_121,i_0_2676,i_0_1945,i_0_2552,i_0_2170,i_0_2491,i_0_1576,i_0_28,i_0_22,i_0_23,i_0_24,i_0_20]) ).

cnf(i_0_2887,plain,
    sum(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_1576]) ).

cnf(i_0_2888,plain,
    product(additive_identity,multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2676]) ).

cnf(i_0_2889,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X6)
    | ~ product(X1,X7,X4)
    | ~ product(X2,X7,X5)
    | ~ product(X3,X7,X6) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2890,plain,
    ~ product(add(additive_identity,additive_identity),additive_identity,add(a,a)),
    inference(scs_inference,[],[i_0_2848,i_0_2846,i_0_2806,i_0_2812,i_0_2271,i_0_2629,i_0_2837,i_0_2840,i_0_646,i_0_121,i_0_2676,i_0_1945,i_0_2552,i_0_2170,i_0_2491,i_0_1576,i_0_2029,i_0_28,i_0_22,i_0_23,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2891,plain,
    sum(add(additive_identity,X1),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_646]) ).

cnf(i_0_2892,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X2,X5)
    | sum(X6,X3,X7)
    | ~ product(X1,X4,X6)
    | ~ product(X1,X5,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2893,plain,
    ~ sum(additive_identity,multiply(a,additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2848,i_0_2846,i_0_2879,i_0_2806,i_0_2809,i_0_2812,i_0_2866,i_0_2271,i_0_2629,i_0_2837,i_0_2840,i_0_646,i_0_121,i_0_2676,i_0_1945,i_0_2552,i_0_2170,i_0_2491,i_0_1576,i_0_951,i_0_2029,i_0_28,i_0_22,i_0_23,i_0_24,i_0_20,i_0_21,i_0_19]) ).

cnf(i_0_2894,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_2895,plain,
    product(multiply(X1,additive_identity),multiply(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2846]) ).

cnf(i_0_2896,plain,
    ~ product(additive_inverse(additive_identity),multiply(additive_identity,X1),multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2809]) ).

cnf(i_0_2897,plain,
    ( ~ sum(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | product(X6,X5,X3)
    | ~ product(X7,X5,X1)
    | ~ sum(X7,X4,X6) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2898,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(a),multiply(additive_identity,X2)),
    inference(scs_inference,[],[i_0_2848,i_0_2846,i_0_2879,i_0_2806,i_0_2809,i_0_2812,i_0_2866,i_0_2271,i_0_2629,i_0_2761,i_0_2733,i_0_2837,i_0_2840,i_0_646,i_0_121,i_0_2676,i_0_1945,i_0_2552,i_0_2170,i_0_2491,i_0_1576,i_0_951,i_0_2029,i_0_28,i_0_22,i_0_23,i_0_24,i_0_20,i_0_21,i_0_19,i_0_27]) ).

cnf(i_0_2899,plain,
    ( ~ equalish(X1,X2)
    | sum(X3,X4,X2)
    | ~ sum(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_2900,plain,
    equalish(add(additive_identity,additive_identity),multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2848,i_0_2846,i_0_2879,i_0_2806,i_0_2809,i_0_2812,i_0_2866,i_0_2271,i_0_2629,i_0_2761,i_0_2733,i_0_2837,i_0_2840,i_0_646,i_0_121,i_0_2676,i_0_1963,i_0_1945,i_0_2552,i_0_2170,i_0_2491,i_0_1576,i_0_951,i_0_2894,i_0_2029,i_0_28,i_0_22,i_0_23,i_0_24,i_0_20,i_0_21,i_0_19,i_0_27,i_0_26]) ).

cnf(i_0_2901,plain,
    sum(multiply(additive_identity,X1),X2,X2),
    inference(rename_variables,[],[i_0_951]) ).

cnf(i_0_2902,plain,
    ( ~ sum(X1,X2,X3)
    | equalish(X3,X4)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_2903,plain,
    ~ sum(add(a,additive_identity),additive_identity,additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2882,i_0_28]) ).

cnf(i_0_2904,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2905,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(a,additive_identity),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2804,i_0_2900,i_0_2882,i_0_28,i_0_27]) ).

cnf(i_0_2906,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(a,additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2804]) ).

cnf(i_0_2907,plain,
    ( sum(X1,X2,X3)
    | ~ equalish(X4,X3)
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_2908,plain,
    ~ product(multiply(additive_identity,additive_identity),add(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2859,i_0_2804,i_0_2900,i_0_2882,i_0_1990,i_0_2285,i_0_28,i_0_27,i_0_22]) ).

cnf(i_0_2909,plain,
    product(additive_identity,add(additive_identity,X1),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2285]) ).

cnf(i_0_2910,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2911,plain,
    ~ product(add(additive_identity,additive_identity),additive_inverse(additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2859,i_0_2804,i_0_2886,i_0_2900,i_0_2842,i_0_2882,i_0_2554,i_0_1990,i_0_2285,i_0_28,i_0_27,i_0_22,i_0_23]) ).

cnf(i_0_2912,plain,
    ~ product(add(additive_identity,additive_identity),multiply(additive_identity,X1),add(a,a)),
    inference(rename_variables,[],[i_0_2886]) ).

cnf(i_0_2913,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X2,X5)
    | ~ product(X6,X1,X4)
    | ~ product(X6,X3,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2914,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),add(a,a)),
    inference(scs_inference,[],[i_0_2822,i_0_2859,i_0_2804,i_0_2886,i_0_2900,i_0_2842,i_0_2882,i_0_2554,i_0_1990,i_0_1312,i_0_1160,i_0_2285,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24]) ).

cnf(i_0_2915,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X3,X5)
    | ~ sum(X4,X1,X6)
    | ~ sum(X6,X2,X5) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2916,plain,
    ~ product(additive_inverse(additive_identity),multiply(additive_identity,additive_identity),additive_inverse(a)),
    inference(scs_inference,[],[i_0_2822,i_0_2859,i_0_2804,i_0_2886,i_0_2900,i_0_2842,i_0_2898,i_0_2882,i_0_2846,i_0_2866,i_0_2554,i_0_339,i_0_1990,i_0_1312,i_0_1160,i_0_2285,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24,i_0_20]) ).

cnf(i_0_2917,plain,
    ~ sum(multiply(additive_identity,X1),additive_inverse(a),multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2898]) ).

cnf(i_0_2918,plain,
    product(multiply(X1,additive_identity),multiply(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2846]) ).

cnf(i_0_2919,plain,
    sum(multiply(additive_identity,X1),additive_inverse(additive_identity),additive_identity),
    inference(rename_variables,[],[i_0_339]) ).

cnf(i_0_2920,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X6,X5,X2)
    | ~ sum(X4,X6,X7)
    | ~ product(X7,X5,X3) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2921,plain,
    ~ sum(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2822,i_0_2859,i_0_2804,i_0_2886,i_0_2912,i_0_2900,i_0_2842,i_0_2898,i_0_2882,i_0_2846,i_0_2866,i_0_2717,i_0_2554,i_0_339,i_0_1990,i_0_1312,i_0_1160,i_0_2285,i_0_36,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24,i_0_20,i_0_19]) ).

cnf(i_0_2922,plain,
    product(additive_identity,multiply(additive_identity,X1),add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_2717]) ).

cnf(i_0_2923,plain,
    sum(X1,X2,add(X2,X1)),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_2924,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X2,X5)
    | ~ product(X6,X2,X7)
    | ~ sum(X7,X3,X5)
    | ~ sum(X6,X1,X4) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2925,plain,
    ~ sum(add(a,additive_identity),multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2822,i_0_2859,i_0_2804,i_0_2886,i_0_2912,i_0_2900,i_0_2842,i_0_2898,i_0_2882,i_0_2609,i_0_2846,i_0_2866,i_0_2717,i_0_1942,i_0_2554,i_0_339,i_0_1169,i_0_1990,i_0_1312,i_0_1160,i_0_2285,i_0_36,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24,i_0_20,i_0_19,i_0_25]) ).

cnf(i_0_2926,plain,
    sum(add(X1,X2),additive_inverse(additive_identity),add(X2,X1)),
    inference(rename_variables,[],[i_0_1942]) ).

cnf(i_0_2927,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X3,X4,X6)
    | ~ sum(X1,X5,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2928,plain,
    ( ~ product(additive_inverse(additive_identity),X1,add(a,a))
    | ~ product(additive_inverse(additive_identity),add(X1,additive_identity),additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_2822,i_0_2859,i_0_2804,i_0_2886,i_0_2912,i_0_2900,i_0_2842,i_0_2898,i_0_2882,i_0_2609,i_0_2846,i_0_2866,i_0_2717,i_0_1942,i_0_2554,i_0_339,i_0_1169,i_0_888,i_0_1990,i_0_1312,i_0_1160,i_0_2285,i_0_36,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24,i_0_20,i_0_19,i_0_25,i_0_21]) ).

cnf(i_0_2929,plain,
    sum(multiply(additive_identity,X1),add(X2,additive_identity),X2),
    inference(rename_variables,[],[i_0_888]) ).

cnf(i_0_2930,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X5,X6)
    | ~ product(X7,X1,X4)
    | ~ product(X7,X2,X5)
    | ~ product(X7,X3,X6) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2931,plain,
    ( ~ product(multiply(a,additive_identity),add(additive_identity,additive_identity),additive_inverse(additive_identity))
    | ~ product(multiply(a,additive_identity),additive_inverse(additive_identity),add(additive_identity,additive_identity)) ),
    inference(scs_inference,[],[i_0_2822,i_0_2859,i_0_2804,i_0_2886,i_0_2912,i_0_2900,i_0_2842,i_0_2898,i_0_2863,i_0_2882,i_0_2609,i_0_2846,i_0_2866,i_0_2717,i_0_1618,i_0_1942,i_0_2554,i_0_339,i_0_1169,i_0_888,i_0_1990,i_0_1312,i_0_1160,i_0_2285,i_0_36,i_0_28,i_0_27,i_0_22,i_0_23,i_0_24,i_0_20,i_0_19,i_0_25,i_0_21,i_0_18]) ).

cnf(i_0_2932,plain,
    sum(additive_inverse(additive_identity),add(additive_identity,additive_identity),multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_1169]) ).

cnf(i_0_2933,plain,
    sum(add(X1,additive_identity),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_2934,plain,
    ( ~ sum(X1,X2,X3)
    | product(X4,X5,X3)
    | ~ product(X4,X6,X1)
    | ~ product(X4,X7,X2)
    | ~ sum(X6,X7,X5) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2935,plain,
    ~ sum(multiply(a,additive_identity),add(additive_identity,additive_identity),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2905,i_0_28]) ).

cnf(i_0_2936,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2937,plain,
    ~ sum(add(additive_identity,additive_identity),multiply(a,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2905,i_0_2126,i_0_28,i_0_27]) ).

cnf(i_0_2938,plain,
    equalish(X1,add(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2126]) ).

cnf(i_0_2939,plain,
    ( ~ equalish(X1,X2)
    | sum(X3,X4,X2)
    | ~ sum(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_27]) ).

cnf(i_0_2940,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,additive_identity),additive_inverse(a)),
    inference(scs_inference,[],[i_0_2905,i_0_2829,i_0_2126,i_0_2846,i_0_2866,i_0_28,i_0_27,i_0_22]) ).

cnf(i_0_2941,plain,
    ~ product(additive_identity,multiply(additive_identity,X1),additive_inverse(a)),
    inference(rename_variables,[],[i_0_2829]) ).

cnf(i_0_2942,plain,
    product(multiply(X1,additive_identity),multiply(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2846]) ).

cnf(i_0_2943,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2944,plain,
    ~ product(additive_inverse(additive_identity),multiply(additive_identity,X1),a),
    inference(scs_inference,[],[i_0_2905,i_0_2829,i_0_2727,i_0_2126,i_0_2846,i_0_2866,i_0_2842,i_0_2416,i_0_28,i_0_27,i_0_22,i_0_23]) ).

cnf(i_0_2945,plain,
    product(multiply(additive_identity,X1),additive_identity,multiply(additive_identity,X2)),
    inference(rename_variables,[],[i_0_2416]) ).

cnf(i_0_2946,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X6,X3) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2947,plain,
    ~ sum(X1,multiply(a,additive_identity),add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2905,i_0_2829,i_0_2727,i_0_2126,i_0_2846,i_0_2866,i_0_2842,i_0_2416,i_0_51,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2948,plain,
    sum(multiply(X1,additive_identity),multiply(X1,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_2949,plain,
    ( ~ sum(X1,X2,X3)
    | sum(X4,X2,X5)
    | ~ sum(X6,X1,X4)
    | ~ sum(X6,X3,X5) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2950,plain,
    ~ sum(a,additive_inverse(additive_identity),additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2905,i_0_2925,i_0_2829,i_0_2727,i_0_2126,i_0_2846,i_0_2866,i_0_2842,i_0_2416,i_0_899,i_0_1067,i_0_51,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2951,plain,
    ~ sum(add(a,additive_identity),multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2925]) ).

cnf(i_0_2952,plain,
    sum(add(X1,additive_identity),multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_899]) ).

cnf(i_0_2953,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X1,X4,X5)
    | ~ sum(X4,X6,X2)
    | ~ sum(X5,X6,X3) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2954,plain,
    ~ product(multiply(additive_identity,additive_identity),additive_inverse(additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2905,i_0_2914,i_0_2925,i_0_2829,i_0_2727,i_0_2126,i_0_2846,i_0_2866,i_0_2842,i_0_2416,i_0_899,i_0_1067,i_0_2567,i_0_955,i_0_51,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2955,plain,
    product(multiply(X1,additive_identity),additive_inverse(additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2567]) ).

cnf(i_0_2956,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2957,plain,
    ~ sum(multiply(additive_identity,X1),multiply(additive_identity,X2),add(a,a)),
    inference(rename_variables,[],[i_0_2914]) ).

cnf(i_0_2958,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X1,X4,X6)
    | sum(X3,X5,X7)
    | ~ product(X6,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2959,plain,
    ~ product(additive_inverse(additive_identity),add(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2905,i_0_2914,i_0_2925,i_0_2829,i_0_2727,i_0_2126,i_0_2773,i_0_2846,i_0_2866,i_0_2842,i_0_2837,i_0_2416,i_0_899,i_0_1067,i_0_2567,i_0_1551,i_0_955,i_0_51,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2960,plain,
    ~ sum(additive_inverse(additive_identity),multiply(additive_identity,X1),add(a,a)),
    inference(rename_variables,[],[i_0_2773]) ).

cnf(i_0_2961,plain,
    sum(multiply(additive_identity,X1),additive_identity,add(additive_identity,additive_identity)),
    inference(rename_variables,[],[i_0_1551]) ).

cnf(i_0_2962,plain,
    ( sum(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X4,X6,X2)
    | ~ sum(X5,X6,X7)
    | ~ product(X4,X7,X3) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2963,plain,
    ~ sum(additive_inverse(additive_identity),additive_inverse(additive_identity),additive_inverse(a)),
    inference(scs_inference,[],[i_0_2905,i_0_2914,i_0_2925,i_0_2916,i_0_2829,i_0_2727,i_0_2126,i_0_2773,i_0_2846,i_0_2866,i_0_2842,i_0_2837,i_0_2416,i_0_899,i_0_1067,i_0_2567,i_0_1551,i_0_955,i_0_2956,i_0_51,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2964,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2965,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ product(X1,X6,X7)
    | ~ sum(X5,X7,X3)
    | ~ sum(X4,X6,X2) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2966,plain,
    ~ sum(multiply(a,additive_identity),additive_identity,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2905,i_0_2914,i_0_2925,i_0_2916,i_0_2829,i_0_2727,i_0_2126,i_0_2544,i_0_2773,i_0_2846,i_0_2942,i_0_2866,i_0_2842,i_0_2837,i_0_2416,i_0_899,i_0_1067,i_0_2567,i_0_1551,i_0_955,i_0_2956,i_0_2964,i_0_51,i_0_28,i_0_27,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_19]) ).

cnf(i_0_2967,plain,
    ~ product(multiply(additive_identity,X1),multiply(additive_identity,X2),multiply(a,additive_identity)),
    inference(rename_variables,[],[i_0_2544]) ).

cnf(i_0_2968,plain,
    product(multiply(X1,additive_identity),multiply(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2846]) ).

cnf(i_0_2969,plain,
    sum(X1,multiply(additive_identity,X2),X1),
    inference(rename_variables,[],[i_0_955]) ).

cnf(i_0_2970,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X2,X5)
    | ~ sum(X5,X6,X3)
    | ~ product(X7,X2,X6)
    | ~ sum(X4,X7,X1) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2971,plain,
    ~ sum(multiply(a,additive_identity),X1,add(additive_identity,additive_identity)),
    inference(scs_inference,[],[i_0_2947,i_0_28]) ).

cnf(i_0_2972,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_2973,plain,
    ~ product(multiply(additive_identity,X1),additive_inverse(additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2947,i_0_2826,i_0_2837,i_0_2552,i_0_28,i_0_22]) ).

cnf(i_0_2974,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X4,X1,X5)
    | product(X4,X3,X6)
    | ~ product(X5,X2,X6) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_2975,plain,
    ~ product(additive_inverse(additive_identity),additive_identity,additive_inverse(a)),
    inference(scs_inference,[],[i_0_2947,i_0_2826,i_0_2940,i_0_2833,i_0_2837,i_0_2552,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_2976,plain,
    product(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2837]) ).

cnf(i_0_2977,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X2,X4,X5)
    | product(X3,X4,X6)
    | ~ product(X1,X5,X6) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_2978,plain,
    ~ sum(add(additive_identity,additive_identity),additive_inverse(additive_identity),additive_inverse(a)),
    inference(scs_inference,[],[i_0_2947,i_0_2826,i_0_2940,i_0_2963,i_0_2833,i_0_2837,i_0_1956,i_0_1305,i_0_2552,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_2979,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X4,X5,X1)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X6,X3) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_2980,plain,
    ~ sum(additive_identity,additive_inverse(additive_identity),additive_inverse(a)),
    inference(scs_inference,[],[i_0_2947,i_0_2826,i_0_2940,i_0_2963,i_0_2833,i_0_2837,i_0_1956,i_0_573,i_0_1305,i_0_2552,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24]) ).

cnf(i_0_2981,plain,
    sum(additive_inverse(X1),add(additive_identity,X1),additive_identity),
    inference(rename_variables,[],[i_0_573]) ).

cnf(i_0_2982,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X1,X5,X6)
    | ~ sum(X3,X4,X6) ),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_2983,plain,
    ~ product(additive_inverse(additive_identity),additive_identity,multiply(a,additive_identity)),
    inference(scs_inference,[],[i_0_2947,i_0_2826,i_0_2940,i_0_2963,i_0_2426,i_0_2833,i_0_2837,i_0_2976,i_0_1956,i_0_2275,i_0_573,i_0_1305,i_0_2552,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20]) ).

cnf(i_0_2984,plain,
    product(additive_inverse(additive_identity),additive_identity,multiply(additive_identity,X1)),
    inference(rename_variables,[],[i_0_2837]) ).

cnf(i_0_2985,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X4,X1,X5)
    | sum(X6,X3,X7)
    | ~ product(X4,X2,X6)
    | ~ product(X5,X2,X7) ),
    inference(rename_variables,[],[i_0_20]) ).

cnf(i_0_2986,plain,
    ~ product(additive_identity,additive_identity,additive_inverse(a)),
    inference(scs_inference,[],[i_0_2947,i_0_2826,i_0_2940,i_0_2963,i_0_2426,i_0_2833,i_0_2837,i_0_2976,i_0_1956,i_0_2275,i_0_573,i_0_2676,i_0_1305,i_0_2552,i_0_2063,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21]) ).

cnf(i_0_2987,plain,
    product(additive_identity,multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2676]) ).

cnf(i_0_2988,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2063]) ).

cnf(i_0_2989,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X2,X4,X6)
    | sum(X3,X5,X7)
    | ~ product(X1,X6,X7) ),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_2990,plain,
    product(multiply(additive_identity,additive_identity),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2947,i_0_2826,i_0_2940,i_0_2963,i_0_2426,i_0_2833,i_0_2846,i_0_2837,i_0_2976,i_0_1956,i_0_2275,i_0_573,i_0_2676,i_0_1305,i_0_2552,i_0_2063,i_0_2988,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18]) ).

cnf(i_0_2991,plain,
    product(multiply(X1,additive_identity),multiply(additive_identity,additive_identity),multiply(X1,additive_identity)),
    inference(rename_variables,[],[i_0_2846]) ).

cnf(i_0_2992,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2063]) ).

cnf(i_0_2993,plain,
    sum(multiply(additive_identity,X1),multiply(additive_identity,X2),additive_identity),
    inference(rename_variables,[],[i_0_2063]) ).

cnf(i_0_2994,plain,
    ( ~ product(X1,X2,X3)
    | ~ product(X1,X4,X5)
    | ~ sum(X3,X5,X6)
    | product(X1,X7,X6)
    | ~ sum(X2,X4,X7) ),
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_2995,plain,
    product(additive_inverse(additive_identity),additive_identity,additive_inverse(additive_identity)),
    inference(scs_inference,[],[i_0_2947,i_0_2826,i_0_2940,i_0_2963,i_0_2426,i_0_2833,i_0_2846,i_0_2837,i_0_2976,i_0_2290,i_0_1956,i_0_2275,i_0_573,i_0_2676,i_0_1305,i_0_2552,i_0_2063,i_0_2988,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_1611]) ).

cnf(i_0_2996,plain,
    ( ~ product(additive_identity,X1,additive_identity)
    | product(additive_inverse(additive_identity),X1,additive_inverse(additive_identity)) ),
    inference(rename_variables,[],[i_0_1611]) ).

cnf(i_0_2997,plain,
    ( ~ sum(add(additive_identity,additive_identity),X1,a)
    | ~ product(X1,additive_inverse(additive_identity),additive_inverse(additive_identity)) ),
    inference(scs_inference,[],[i_0_2947,i_0_2826,i_0_2940,i_0_2963,i_0_168,i_0_2426,i_0_2833,i_0_2846,i_0_2837,i_0_2976,i_0_2290,i_0_1956,i_0_2275,i_0_573,i_0_2676,i_0_2554,i_0_1305,i_0_2552,i_0_2063,i_0_2988,i_0_28,i_0_22,i_0_23,i_0_25,i_0_24,i_0_20,i_0_21,i_0_18,i_0_1611,i_0_19]) ).

cnf(i_0_2998,plain,
    ( ~ product(X1,X2,X3)
    | ~ sum(X3,X4,X5)
    | ~ product(X6,X2,X4)
    | product(X7,X2,X5)
    | ~ sum(X1,X6,X7) ),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_2999,plain,
    ~ product(add(a,additive_identity),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2995,i_0_1187]) ).

cnf(i_0_3000,plain,
    ~ product(add(a,additive_identity),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2990,i_0_1208]) ).

cnf(i_0_3001,plain,
    ~ product(add(additive_identity,add(additive_identity,a)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2990,i_0_1317]) ).

cnf(i_0_3002,plain,
    ~ product(add(additive_identity,add(a,additive_identity)),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2990,i_0_1326]) ).

cnf(i_0_3003,plain,
    ~ product(add(multiply(additive_identity,additive_identity),a),additive_identity,additive_identity),
    inference(scs_inference,[],[i_0_2990,i_0_1350]) ).

cnf(i_0_3004,plain,
    ~ sum(multiply(a,additive_identity),add(additive_identity,additive_identity),additive_identity),
    inference(scs_inference,[],[i_0_2937,i_0_28]) ).

cnf(i_0_3005,plain,
    ( sum(X1,X2,X3)
    | ~ sum(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_28]) ).

cnf(i_0_3006,plain,
    ~ product(add(additive_identity,additive_identity),add(additive_identity,additive_identity),add(a,a)),
    inference(scs_inference,[],[i_0_2890,i_0_2937,i_0_1990,i_0_2058,i_0_28,i_0_22]) ).

cnf(i_0_3007,plain,
    ( ~ product(X1,X2,X3)
    | product(X1,X4,X5)
    | ~ product(X2,X6,X4)
    | ~ product(X3,X6,X5) ),
    inference(rename_variables,[],[i_0_22]) ).

cnf(i_0_3008,plain,
    ~ product(additive_inverse(additive_identity),additive_inverse(additive_identity),add(additive_identity,a)),
    inference(scs_inference,[],[i_0_2890,i_0_2214,i_0_2937,i_0_2995,i_0_1990,i_0_2676,i_0_2058,i_0_28,i_0_22,i_0_23]) ).

cnf(i_0_3009,plain,
    product(additive_identity,multiply(additive_identity,X1),additive_inverse(additive_identity)),
    inference(rename_variables,[],[i_0_2676]) ).

cnf(i_0_3010,plain,
    ( ~ product(X1,X2,X3)
    | product(X4,X2,X5)
    | ~ product(X6,X1,X4)
    | ~ product(X6,X3,X5) ),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_3011,plain,
    ~ sum(additive_inverse(additive_identity),a,multiply(additive_identity,X1)),
    inference(scs_inference,[],[i_0_2890,i_0_2214,i_0_2855,i_0_2937,i_0_2995,i_0_1494,i_0_1945,i_0_1990,i_0_2676,i_0_2058,i_0_28,i_0_22,i_0_23,i_0_25]) ).

cnf(i_0_3012,plain,
    sum(additive_inverse(additive_identity),add(X1,X2),add(X2,X1)),
    inference(rename_variables,[],[i_0_1945]) ).

cnf(i_0_3013,plain,
    sum(add(additive_identity,X1),additive_inverse(additive_identity),X1),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_3014,plain,
    ( ~ sum(X1,X2,X3)
    | ~ sum(X2,X4,X5)
    | sum(X3,X4,X6)
    | ~ sum(X1,X5,X6) ),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_3015,plain,
    $false,
    inference(scs_inference,[],[i_0_2971,i_0_2890,i_0_2214,i_0_2855,i_0_2937,i_0_2995,i_0_2846,i_0_2717,i_0_1494,i_0_1945,i_0_1990,i_0_2676,i_0_2058,i_0_33,i_0_29,i_0_28,i_0_22,i_0_23,i_0_25,i_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : RNG001-2 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32  % Computer : n015.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Tue May  5 01:45:16 EDT 2026
% 0.13/0.32  % CPUTime    : 
% 0.13/0.33  % start to proof: theBenchmark
% 40.92/25.66  % Version  : CSE_E---1.7
% 40.92/25.66  % Problem  : theBenchmark.p
% 40.92/25.66  % SZS status Unsatisfiable for theBenchmark.p
% 40.92/25.66  % SZS output start CNFRefutation
% See solution above
% 46.09/28.26  % Total time : 25.329s
%------------------------------------------------------------------------------