E-SAT---3.5.1.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : GRP693-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:44:56 PM UTC 2026

% Result   : Unsatisfiable 220.31s 44.75s
% Output   : CNFRefutation 220.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   57
%            Number of leaves      :   14
% Syntax   : Number of clauses     :  611 ( 611 unt;   0 nHn;  65 RR)
%            Number of literals    :  611 ( 610 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  890 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c07,axiom,
    mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

cnf(c01,axiom,
    mult(X1,ld(X1,X2)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).

cnf(c02,axiom,
    ld(X1,mult(X1,X2)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

cnf(c10,axiom,
    mult(X1,i(X1)) = unit,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

cnf(c04,axiom,
    rd(mult(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

cnf(c09,axiom,
    mult(i(X1),X1) = unit,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).

cnf(c05,axiom,
    mult(X1,unit) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

cnf(c03,axiom,
    mult(rd(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

cnf(c08,axiom,
    mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).

cnf(c06,axiom,
    mult(unit,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).

cnf(c11,axiom,
    mult(op_c,mult(op_c,op_c)) = op_d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).

cnf(c12,axiom,
    mult(op_d,op_d) = op_e,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12) ).

cnf(c13,axiom,
    mult(op_e,op_e) = op_f,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c13) ).

cnf(goals,negated_conjecture,
    mult(op_f,mult(a,b)) != mult(mult(op_f,a),b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(c_0_14,axiom,
    mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
    c07 ).

cnf(c_0_15,axiom,
    mult(X1,ld(X1,X2)) = X2,
    c01 ).

cnf(c_0_16,axiom,
    ld(X1,mult(X1,X2)) = X2,
    c02 ).

cnf(c_0_17,axiom,
    mult(X1,i(X1)) = unit,
    c10 ).

cnf(c_0_18,axiom,
    rd(mult(X1,X2),X2) = X1,
    c04 ).

cnf(c_0_19,plain,
    mult(rd(mult(X1,X2),X1),X3) = mult(X1,mult(X2,ld(X1,X3))),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,axiom,
    mult(i(X1),X1) = unit,
    c09 ).

cnf(c_0_21,plain,
    i(X1) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,plain,
    rd(mult(X1,mult(X2,ld(X1,X3))),X3) = rd(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,plain,
    mult(ld(X1,unit),X1) = unit,
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,axiom,
    mult(X1,unit) = X1,
    c05 ).

cnf(c_0_25,axiom,
    mult(rd(X1,X2),X2) = X1,
    c03 ).

cnf(c_0_26,plain,
    rd(mult(X1,ld(ld(X1,X2),unit)),X1) = rd(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_27,plain,
    mult(X1,ld(ld(X1,X2),unit)) = mult(rd(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_28,plain,
    ld(X1,mult(rd(X1,X2),X1)) = ld(ld(X1,X2),unit),
    inference(spm,[status(thm)],[c_0_16,c_0_27]) ).

cnf(c_0_29,plain,
    ld(ld(X1,unit),unit) = X1,
    inference(spm,[status(thm)],[c_0_16,c_0_23]) ).

cnf(c_0_30,plain,
    mult(rd(X1,mult(rd(X1,X2),X1)),X1) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_15]) ).

cnf(c_0_31,axiom,
    mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
    c08 ).

cnf(c_0_32,plain,
    ld(rd(X1,X2),X1) = X2,
    inference(spm,[status(thm)],[c_0_16,c_0_25]) ).

cnf(c_0_33,plain,
    rd(X1,mult(rd(X1,X2),X1)) = rd(X2,X1),
    inference(spm,[status(thm)],[c_0_18,c_0_30]) ).

cnf(c_0_34,plain,
    mult(X1,mult(X2,ld(X1,unit))) = rd(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_24,c_0_19]) ).

cnf(c_0_35,plain,
    ld(mult(X1,X2),mult(mult(X1,X3),X2)) = ld(X2,mult(X3,X2)),
    inference(spm,[status(thm)],[c_0_16,c_0_31]) ).

cnf(c_0_36,axiom,
    mult(unit,X1) = X1,
    c06 ).

cnf(c_0_37,plain,
    ld(rd(X1,X2),X2) = mult(rd(X2,X1),X2),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,plain,
    ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,unit)),
    inference(spm,[status(thm)],[c_0_16,c_0_34]) ).

cnf(c_0_39,plain,
    rd(X1,ld(X2,X1)) = X2,
    inference(spm,[status(thm)],[c_0_18,c_0_15]) ).

cnf(c_0_40,plain,
    ld(mult(ld(X1,unit),X2),X2) = ld(X2,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_36]) ).

cnf(c_0_41,plain,
    ld(unit,X1) = X1,
    inference(spm,[status(thm)],[c_0_16,c_0_36]) ).

cnf(c_0_42,plain,
    mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))),
    inference(spm,[status(thm)],[c_0_31,c_0_25]) ).

cnf(c_0_43,plain,
    mult(rd(X1,mult(X2,X1)),X1) = ld(X2,X1),
    inference(spm,[status(thm)],[c_0_37,c_0_18]) ).

cnf(c_0_44,plain,
    ld(ld(X1,unit),X1) = mult(X1,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_23]),c_0_39]),c_0_29]) ).

cnf(c_0_45,plain,
    ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_40]),c_0_24]),c_0_41]),c_0_24]) ).

cnf(c_0_46,plain,
    rd(mult(X1,ld(X2,mult(X3,X2))),X2) = mult(rd(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_18,c_0_42]) ).

cnf(c_0_47,plain,
    rd(unit,X1) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_18,c_0_23]) ).

cnf(c_0_48,plain,
    ld(ld(X1,mult(X2,X1)),unit) = ld(X1,ld(X2,X1)),
    inference(spm,[status(thm)],[c_0_28,c_0_43]) ).

cnf(c_0_49,plain,
    mult(ld(X1,X2),ld(X1,unit)) = ld(X1,rd(X2,X1)),
    inference(spm,[status(thm)],[c_0_38,c_0_15]) ).

cnf(c_0_50,plain,
    mult(mult(ld(X1,unit),X2),X1) = ld(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_23]),c_0_36]) ).

cnf(c_0_51,plain,
    mult(ld(X1,unit),mult(X1,X1)) = X1,
    inference(spm,[status(thm)],[c_0_15,c_0_44]) ).

cnf(c_0_52,plain,
    mult(X1,ld(mult(X2,X1),X1)) = mult(ld(X2,unit),X1),
    inference(spm,[status(thm)],[c_0_15,c_0_45]) ).

cnf(c_0_53,plain,
    mult(rd(ld(X1,ld(X2,X1)),X1),X2) = ld(X1,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_23]),c_0_47]),c_0_48]) ).

cnf(c_0_54,plain,
    ld(ld(X1,X2),ld(X1,rd(X2,X1))) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_16,c_0_49]) ).

cnf(c_0_55,plain,
    ld(X1,mult(mult(X1,X1),X1)) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,plain,
    mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_52,c_0_25]) ).

cnf(c_0_57,plain,
    rd(ld(X1,ld(X2,X1)),X1) = rd(ld(X1,unit),X2),
    inference(spm,[status(thm)],[c_0_18,c_0_53]) ).

cnf(c_0_58,plain,
    ld(mult(X1,X1),X1) = ld(X1,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_18]),c_0_16]) ).

cnf(c_0_59,plain,
    ld(ld(X1,ld(X2,X1)),unit) = ld(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_28,c_0_39]) ).

cnf(c_0_60,plain,
    rd(mult(X1,ld(X2,X1)),X1) = ld(rd(X2,X1),unit),
    inference(spm,[status(thm)],[c_0_18,c_0_56]) ).

cnf(c_0_61,plain,
    rd(ld(X1,unit),rd(X1,X2)) = rd(ld(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_57,c_0_32]) ).

cnf(c_0_62,plain,
    rd(ld(X1,mult(X2,X1)),X1) = mult(ld(X1,unit),X2),
    inference(spm,[status(thm)],[c_0_18,c_0_50]) ).

cnf(c_0_63,plain,
    mult(mult(X1,X1),ld(X1,unit)) = X1,
    inference(spm,[status(thm)],[c_0_15,c_0_58]) ).

cnf(c_0_64,plain,
    mult(ld(X1,ld(X2,X1)),ld(X1,mult(X2,X1))) = unit,
    inference(spm,[status(thm)],[c_0_15,c_0_59]) ).

cnf(c_0_65,plain,
    ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_60,c_0_32]) ).

cnf(c_0_66,plain,
    mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
    inference(spm,[status(thm)],[c_0_15,c_0_55]) ).

cnf(c_0_67,plain,
    mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3),
    inference(spm,[status(thm)],[c_0_19,c_0_15]) ).

cnf(c_0_68,plain,
    mult(rd(ld(X1,X2),X1),rd(X1,X2)) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_25,c_0_61]) ).

cnf(c_0_69,plain,
    rd(mult(X1,X1),ld(X1,unit)) = mult(X1,mult(X1,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_44]),c_0_29]) ).

cnf(c_0_70,plain,
    rd(X1,ld(X1,mult(X2,X1))) = mult(ld(X2,unit),X1),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_71,plain,
    mult(X1,mult(X2,ld(X1,rd(rd(X1,X2),X1)))) = unit,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_41]),c_0_24]),c_0_41]),c_0_19]) ).

cnf(c_0_72,plain,
    mult(mult(X1,mult(X2,X2)),X2) = mult(mult(X1,X2),mult(X2,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_66]),c_0_16]) ).

cnf(c_0_73,plain,
    mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_67,c_0_16]) ).

cnf(c_0_74,plain,
    mult(rd(X1,X2),rd(X2,mult(X2,X1))) = ld(X2,unit),
    inference(spm,[status(thm)],[c_0_68,c_0_16]) ).

cnf(c_0_75,plain,
    ld(mult(X1,mult(X1,X1)),mult(X1,X1)) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_32,c_0_69]) ).

cnf(c_0_76,axiom,
    mult(op_c,mult(op_c,op_c)) = op_d,
    c11 ).

cnf(c_0_77,plain,
    mult(ld(rd(X1,X2),unit),X2) = rd(X2,ld(X2,X1)),
    inference(spm,[status(thm)],[c_0_70,c_0_25]) ).

cnf(c_0_78,plain,
    mult(X1,ld(X2,rd(rd(X2,X1),X2))) = ld(X2,unit),
    inference(spm,[status(thm)],[c_0_16,c_0_71]) ).

cnf(c_0_79,plain,
    ld(mult(rd(X1,X2),X3),mult(X1,X3)) = ld(X3,mult(X2,X3)),
    inference(spm,[status(thm)],[c_0_35,c_0_25]) ).

cnf(c_0_80,plain,
    mult(mult(X1,mult(ld(X1,X2),X1)),X1) = mult(X2,mult(X1,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_25]) ).

cnf(c_0_81,plain,
    ld(rd(X1,X2),ld(X2,unit)) = rd(X2,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_16,c_0_74]) ).

cnf(c_0_82,plain,
    ld(op_d,mult(op_c,op_c)) = ld(op_c,unit),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_83,plain,
    ld(X1,rd(X1,ld(X1,X2))) = ld(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_77]),c_0_25]) ).

cnf(c_0_84,plain,
    ld(X1,rd(rd(X1,X2),X1)) = ld(X2,ld(X1,unit)),
    inference(spm,[status(thm)],[c_0_16,c_0_78]) ).

cnf(c_0_85,plain,
    ld(ld(X1,X2),mult(X2,X2)) = ld(X2,mult(mult(X1,X2),X2)),
    inference(spm,[status(thm)],[c_0_79,c_0_43]) ).

cnf(c_0_86,plain,
    mult(mult(X1,mult(X2,X1)),X1) = mult(mult(X1,X2),mult(X1,X1)),
    inference(spm,[status(thm)],[c_0_80,c_0_16]) ).

cnf(c_0_87,plain,
    rd(X1,mult(X1,mult(X2,X1))) = ld(X2,ld(X1,unit)),
    inference(spm,[status(thm)],[c_0_81,c_0_18]) ).

cnf(c_0_88,plain,
    mult(op_d,ld(op_c,unit)) = mult(op_c,op_c),
    inference(spm,[status(thm)],[c_0_15,c_0_82]) ).

cnf(c_0_89,plain,
    rd(X1,ld(X1,X2)) = mult(X1,ld(X2,X1)),
    inference(spm,[status(thm)],[c_0_15,c_0_83]) ).

cnf(c_0_90,plain,
    rd(mult(X1,mult(X2,X3)),mult(X1,X3)) = rd(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_22,c_0_16]) ).

cnf(c_0_91,plain,
    ld(mult(X1,X1),mult(X1,mult(X1,X1))) = X1,
    inference(spm,[status(thm)],[c_0_16,c_0_66]) ).

cnf(c_0_92,plain,
    ld(ld(X1,X2),ld(X2,unit)) = ld(X2,rd(X1,X2)),
    inference(spm,[status(thm)],[c_0_84,c_0_39]) ).

cnf(c_0_93,plain,
    ld(rd(ld(X1,X2),mult(X2,X2)),unit) = mult(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_85]),c_0_31]),c_0_86]),c_0_18]) ).

cnf(c_0_94,plain,
    ld(X1,X1) = unit,
    inference(spm,[status(thm)],[c_0_16,c_0_24]) ).

cnf(c_0_95,plain,
    rd(X1,unit) = X1,
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_96,plain,
    ld(ld(X1,ld(X2,unit)),X2) = mult(X2,mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_32,c_0_87]) ).

cnf(c_0_97,plain,
    rd(mult(op_c,op_d),op_c) = op_d,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_88]),c_0_76]) ).

cnf(c_0_98,plain,
    ld(mult(rd(rd(X1,X2),X3),X2),X1) = ld(X2,mult(X3,X2)),
    inference(spm,[status(thm)],[c_0_79,c_0_25]) ).

cnf(c_0_99,plain,
    mult(mult(X1,ld(X2,X1)),ld(X1,X2)) = X1,
    inference(spm,[status(thm)],[c_0_25,c_0_89]) ).

cnf(c_0_100,plain,
    rd(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),mult(X1,X3)),
    inference(spm,[status(thm)],[c_0_90,c_0_25]) ).

cnf(c_0_101,plain,
    ld(X1,ld(X1,unit)) = ld(mult(X1,X1),unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_91]),c_0_18]),c_0_58]) ).

cnf(c_0_102,plain,
    rd(ld(X1,X2),mult(X2,X2)) = ld(mult(X2,X1),unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95]),c_0_41]) ).

cnf(c_0_103,plain,
    ld(ld(X1,rd(X2,X1)),X1) = mult(X1,mult(ld(X2,X1),X1)),
    inference(spm,[status(thm)],[c_0_96,c_0_92]) ).

cnf(c_0_104,plain,
    ld(X1,mult(ld(X2,X3),X1)) = ld(mult(X2,X1),mult(X3,X1)),
    inference(spm,[status(thm)],[c_0_35,c_0_15]) ).

cnf(c_0_105,plain,
    mult(rd(X1,mult(X1,X2)),X1) = mult(X1,ld(X2,unit)),
    inference(spm,[status(thm)],[c_0_27,c_0_16]) ).

cnf(c_0_106,plain,
    ld(mult(X1,ld(X2,X1)),X1) = ld(X1,X2),
    inference(spm,[status(thm)],[c_0_32,c_0_89]) ).

cnf(c_0_107,plain,
    mult(op_c,op_d) = mult(op_d,op_c),
    inference(spm,[status(thm)],[c_0_25,c_0_97]) ).

cnf(c_0_108,plain,
    rd(X1,ld(X2,mult(X3,X2))) = mult(rd(rd(X1,X2),X3),X2),
    inference(spm,[status(thm)],[c_0_39,c_0_98]) ).

cnf(c_0_109,plain,
    rd(mult(X1,mult(X1,X1)),X1) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_18,c_0_66]) ).

cnf(c_0_110,plain,
    rd(mult(X1,mult(X1,ld(X2,X1))),X1) = rd(mult(X1,X1),X2),
    inference(spm,[status(thm)],[c_0_22,c_0_99]) ).

cnf(c_0_111,plain,
    mult(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,rd(X2,X3)),
    inference(spm,[status(thm)],[c_0_25,c_0_100]) ).

cnf(c_0_112,plain,
    mult(ld(X1,unit),rd(X2,X1)) = rd(ld(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_62,c_0_25]) ).

cnf(c_0_113,plain,
    rd(ld(X1,unit),ld(mult(X1,X1),unit)) = X1,
    inference(spm,[status(thm)],[c_0_39,c_0_101]) ).

cnf(c_0_114,plain,
    ld(ld(mult(X1,X1),unit),ld(X1,unit)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_49]),c_0_47]),c_0_29]),c_0_101]) ).

cnf(c_0_115,plain,
    ld(mult(X1,rd(X1,X2)),unit) = rd(X2,mult(X1,X1)),
    inference(spm,[status(thm)],[c_0_102,c_0_32]) ).

cnf(c_0_116,plain,
    ld(mult(ld(X1,X2),X2),unit) = ld(mult(X2,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_103]),c_0_16]),c_0_104]),c_0_25]) ).

cnf(c_0_117,plain,
    rd(mult(X1,ld(X2,unit)),X1) = rd(X1,mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_18,c_0_105]) ).

cnf(c_0_118,plain,
    ld(X1,rd(X1,X2)) = ld(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_106,c_0_32]) ).

cnf(c_0_119,plain,
    mult(mult(X1,op_c),op_d) = mult(mult(X1,op_d),op_c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_107]),c_0_16]) ).

cnf(c_0_120,plain,
    mult(rd(rd(X1,X2),rd(X2,X3)),X2) = rd(X1,ld(ld(X2,X3),unit)),
    inference(spm,[status(thm)],[c_0_108,c_0_28]) ).

cnf(c_0_121,plain,
    rd(op_d,op_c) = mult(op_c,op_c),
    inference(spm,[status(thm)],[c_0_109,c_0_76]) ).

cnf(c_0_122,plain,
    rd(mult(X1,X1),rd(X1,X2)) = rd(mult(X1,mult(X1,X2)),X1),
    inference(spm,[status(thm)],[c_0_110,c_0_32]) ).

cnf(c_0_123,plain,
    mult(X1,rd(ld(X1,X2),X3)) = mult(rd(X2,mult(X1,X3)),X1),
    inference(spm,[status(thm)],[c_0_111,c_0_15]) ).

cnf(c_0_124,plain,
    rd(X1,ld(mult(X1,X1),unit)) = mult(X1,mult(X1,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_29]),c_0_66]),c_0_114]) ).

cnf(c_0_125,plain,
    rd(X1,mult(X1,X1)) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_39,c_0_44]) ).

cnf(c_0_126,axiom,
    mult(op_d,op_d) = op_e,
    c12 ).

cnf(c_0_127,plain,
    ld(rd(X1,mult(X2,X2)),unit) = mult(X2,rd(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_115]),c_0_94]),c_0_95]),c_0_41]) ).

cnf(c_0_128,plain,
    ld(mult(X1,X1),rd(X1,X2)) = ld(mult(X2,X1),unit),
    inference(spm,[status(thm)],[c_0_116,c_0_32]) ).

cnf(c_0_129,plain,
    ld(mult(X1,mult(X1,X2)),X1) = mult(ld(X2,unit),ld(X1,unit)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_117]),c_0_118]) ).

cnf(c_0_130,plain,
    rd(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(rd(X1,X3),X2),
    inference(spm,[status(thm)],[c_0_39,c_0_79]) ).

cnf(c_0_131,plain,
    rd(rd(ld(X1,X2),X1),rd(X2,X1)) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_18,c_0_112]) ).

cnf(c_0_132,plain,
    ld(op_c,mult(op_d,op_c)) = op_d,
    inference(spm,[status(thm)],[c_0_16,c_0_107]) ).

cnf(c_0_133,plain,
    rd(mult(mult(X1,op_d),op_c),op_d) = mult(X1,op_c),
    inference(spm,[status(thm)],[c_0_18,c_0_119]) ).

cnf(c_0_134,plain,
    rd(X1,ld(X1,unit)) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_39,c_0_58]) ).

cnf(c_0_135,plain,
    rd(op_d,ld(ld(op_c,X1),unit)) = mult(op_c,mult(op_c,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_25]) ).

cnf(c_0_136,plain,
    ld(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(ld(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_16,c_0_123]) ).

cnf(c_0_137,plain,
    mult(rd(ld(X1,unit),X2),X1) = ld(X1,ld(X2,X1)),
    inference(spm,[status(thm)],[c_0_25,c_0_57]) ).

cnf(c_0_138,plain,
    ld(mult(X1,mult(X1,X1)),X1) = ld(mult(X1,X1),unit),
    inference(spm,[status(thm)],[c_0_32,c_0_124]) ).

cnf(c_0_139,plain,
    rd(op_d,op_e) = ld(op_d,unit),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_140,plain,
    mult(X1,rd(X1,mult(X2,mult(X1,X1)))) = ld(X2,unit),
    inference(spm,[status(thm)],[c_0_127,c_0_18]) ).

cnf(c_0_141,plain,
    ld(op_e,rd(op_d,X1)) = ld(mult(X1,op_d),unit),
    inference(spm,[status(thm)],[c_0_128,c_0_126]) ).

cnf(c_0_142,plain,
    mult(ld(mult(X1,mult(X1,X2)),X1),X2) = ld(mult(X1,X2),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_129]),c_0_104]),c_0_36]) ).

cnf(c_0_143,plain,
    rd(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,rd(X3,X2)),X2),
    inference(spm,[status(thm)],[c_0_130,c_0_25]) ).

cnf(c_0_144,plain,
    rd(mult(op_c,op_c),op_d) = ld(op_c,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_121]),c_0_18]) ).

cnf(c_0_145,plain,
    rd(mult(X1,op_c),op_d) = mult(rd(X1,op_d),op_c),
    inference(spm,[status(thm)],[c_0_133,c_0_25]) ).

cnf(c_0_146,plain,
    rd(ld(X1,unit),X1) = ld(X1,ld(X1,unit)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_32]),c_0_47]),c_0_47]),c_0_47]),c_0_49]),c_0_47]) ).

cnf(c_0_147,plain,
    ld(ld(op_c,X1),unit) = ld(mult(op_c,mult(op_c,X1)),op_d),
    inference(spm,[status(thm)],[c_0_32,c_0_135]) ).

cnf(c_0_148,plain,
    ld(X1,ld(X1,ld(mult(X1,X2),X1))) = rd(ld(mult(X1,X1),unit),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_101]) ).

cnf(c_0_149,plain,
    ld(mult(op_c,op_c),unit) = ld(op_d,op_c),
    inference(spm,[status(thm)],[c_0_138,c_0_76]) ).

cnf(c_0_150,plain,
    mult(X1,ld(mult(X1,X2),X1)) = rd(X1,X2),
    inference(spm,[status(thm)],[c_0_89,c_0_16]) ).

cnf(c_0_151,plain,
    mult(ld(op_d,unit),op_e) = op_d,
    inference(spm,[status(thm)],[c_0_25,c_0_139]) ).

cnf(c_0_152,plain,
    rd(X1,mult(X2,mult(X1,X1))) = ld(X1,ld(X2,unit)),
    inference(spm,[status(thm)],[c_0_16,c_0_140]) ).

cnf(c_0_153,plain,
    ld(ld(mult(X1,X1),X2),unit) = mult(ld(X2,X1),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_116]),c_0_94]),c_0_95]),c_0_41]) ).

cnf(c_0_154,plain,
    mult(op_e,ld(mult(X1,op_d),unit)) = rd(op_d,X1),
    inference(spm,[status(thm)],[c_0_15,c_0_141]) ).

cnf(c_0_155,plain,
    rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1),
    inference(spm,[status(thm)],[c_0_90,c_0_15]) ).

cnf(c_0_156,plain,
    mult(mult(X1,X1),ld(mult(X2,X1),unit)) = rd(X1,X2),
    inference(spm,[status(thm)],[c_0_15,c_0_128]) ).

cnf(c_0_157,plain,
    mult(ld(mult(X1,X2),X1),ld(X1,X2)) = ld(X2,ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_142,c_0_15]) ).

cnf(c_0_158,plain,
    rd(mult(X1,ld(X2,X3)),X2) = mult(rd(X1,X2),rd(X3,X2)),
    inference(spm,[status(thm)],[c_0_46,c_0_25]) ).

cnf(c_0_159,plain,
    rd(ld(X1,X2),X2) = rd(X2,mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_33,c_0_39]) ).

cnf(c_0_160,plain,
    mult(rd(X1,rd(mult(X2,X3),X2)),X2) = rd(mult(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_143,c_0_16]) ).

cnf(c_0_161,plain,
    rd(rd(X1,X2),rd(mult(X2,X1),X2)) = ld(X2,unit),
    inference(spm,[status(thm)],[c_0_131,c_0_16]) ).

cnf(c_0_162,plain,
    mult(rd(op_c,op_d),op_c) = ld(op_c,unit),
    inference(rw,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_163,plain,
    rd(ld(X1,unit),X1) = ld(mult(X1,X1),unit),
    inference(rw,[status(thm)],[c_0_146,c_0_101]) ).

cnf(c_0_164,plain,
    ld(rd(ld(op_d,op_c),X1),unit) = ld(rd(op_c,X1),op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_15]),c_0_150]) ).

cnf(c_0_165,plain,
    ld(op_d,mult(op_e,op_d)) = op_e,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_151]),c_0_126]) ).

cnf(c_0_166,plain,
    ld(op_d,ld(X1,unit)) = rd(op_d,mult(X1,op_e)),
    inference(spm,[status(thm)],[c_0_152,c_0_126]) ).

cnf(c_0_167,plain,
    ld(ld(op_e,X1),unit) = mult(ld(X1,op_d),op_d),
    inference(spm,[status(thm)],[c_0_153,c_0_126]) ).

cnf(c_0_168,plain,
    rd(op_d,rd(X1,op_d)) = mult(op_e,ld(X1,unit)),
    inference(spm,[status(thm)],[c_0_154,c_0_25]) ).

cnf(c_0_169,plain,
    mult(X1,ld(mult(X2,X1),mult(X3,X1))) = mult(ld(X2,X3),X1),
    inference(spm,[status(thm)],[c_0_15,c_0_104]) ).

cnf(c_0_170,plain,
    ld(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,ld(X2,X3)),
    inference(spm,[status(thm)],[c_0_32,c_0_155]) ).

cnf(c_0_171,plain,
    rd(X1,rd(X2,X1)) = mult(mult(X1,X1),ld(X2,unit)),
    inference(spm,[status(thm)],[c_0_156,c_0_25]) ).

cnf(c_0_172,plain,
    mult(rd(X1,X2),rd(X2,mult(X1,X2))) = rd(rd(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_157]),c_0_158]),c_0_159]),c_0_150]) ).

cnf(c_0_173,plain,
    rd(rd(mult(X1,X2),X1),X1) = rd(X1,rd(mult(X1,X1),X2)),
    inference(spm,[status(thm)],[c_0_33,c_0_160]) ).

cnf(c_0_174,plain,
    ld(ld(X1,unit),rd(X2,X1)) = rd(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_32,c_0_161]) ).

cnf(c_0_175,plain,
    mult(ld(op_d,unit),op_c) = rd(op_c,op_d),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_107]),c_0_16]) ).

cnf(c_0_176,plain,
    rd(op_c,op_d) = ld(op_d,op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_162]),c_0_163]),c_0_149]) ).

cnf(c_0_177,plain,
    ld(ld(X1,mult(X2,X1)),ld(X1,X2)) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_54,c_0_18]) ).

cnf(c_0_178,plain,
    ld(ld(rd(op_c,X1),op_d),unit) = rd(ld(op_d,op_c),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_164]),c_0_94]),c_0_95]),c_0_41]) ).

cnf(c_0_179,plain,
    mult(op_e,op_d) = mult(op_d,op_e),
    inference(spm,[status(thm)],[c_0_15,c_0_165]) ).

cnf(c_0_180,plain,
    ld(op_d,op_e) = op_d,
    inference(spm,[status(thm)],[c_0_16,c_0_126]) ).

cnf(c_0_181,plain,
    rd(op_d,mult(ld(op_e,X1),op_e)) = ld(mult(X1,op_d),op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_104]),c_0_126]) ).

cnf(c_0_182,plain,
    rd(mult(X1,X2),mult(X2,X2)) = mult(rd(X1,mult(X2,X2)),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_91]),c_0_18]) ).

cnf(c_0_183,plain,
    ld(mult(op_e,ld(X1,unit)),op_d) = rd(X1,op_d),
    inference(spm,[status(thm)],[c_0_32,c_0_168]) ).

cnf(c_0_184,plain,
    mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)),
    inference(spm,[status(thm)],[c_0_169,c_0_25]) ).

cnf(c_0_185,plain,
    ld(rd(mult(X1,X2),X1),X3) = mult(X1,ld(X2,ld(X1,X3))),
    inference(spm,[status(thm)],[c_0_170,c_0_15]) ).

cnf(c_0_186,plain,
    rd(op_e,ld(op_d,X1)) = mult(mult(op_e,ld(X1,unit)),op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_126]),c_0_171]),c_0_126]) ).

cnf(c_0_187,plain,
    ld(X1,mult(rd(X2,X1),X3)) = mult(ld(X1,X2),ld(X1,X3)),
    inference(spm,[status(thm)],[c_0_16,c_0_67]) ).

cnf(c_0_188,plain,
    mult(rd(rd(X1,X2),X1),X2) = mult(X1,ld(X2,ld(X1,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_172]),c_0_43]) ).

cnf(c_0_189,plain,
    mult(X1,ld(X2,ld(X1,unit))) = rd(rd(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_15,c_0_84]) ).

cnf(c_0_190,plain,
    mult(rd(X1,rd(mult(X1,X1),X2)),X1) = rd(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_25,c_0_173]) ).

cnf(c_0_191,plain,
    rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)),
    inference(spm,[status(thm)],[c_0_18,c_0_160]) ).

cnf(c_0_192,plain,
    rd(mult(X1,mult(X2,X1)),X1) = ld(ld(X1,unit),X2),
    inference(spm,[status(thm)],[c_0_174,c_0_18]) ).

cnf(c_0_193,plain,
    mult(ld(op_d,unit),op_c) = ld(op_d,op_c),
    inference(rw,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_194,plain,
    rd(ld(X1,X2),ld(X1,unit)) = ld(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_39,c_0_177]) ).

cnf(c_0_195,plain,
    mult(op_c,mult(op_d,ld(op_c,X1))) = mult(op_d,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_107]),c_0_18]) ).

cnf(c_0_196,plain,
    rd(ld(op_d,op_c),ld(X1,op_c)) = ld(ld(X1,op_d),unit),
    inference(spm,[status(thm)],[c_0_178,c_0_39]) ).

cnf(c_0_197,axiom,
    mult(op_e,op_e) = op_f,
    c13 ).

cnf(c_0_198,plain,
    ld(op_e,op_d) = ld(op_d,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_179]),c_0_16]),c_0_180]) ).

cnf(c_0_199,plain,
    ld(ld(X1,mult(mult(X1,X2),X1)),X2) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_177,c_0_16]) ).

cnf(c_0_200,plain,
    mult(mult(X1,op_e),op_d) = mult(mult(X1,op_d),op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_179]),c_0_16]) ).

cnf(c_0_201,plain,
    ld(ld(mult(X1,op_d),op_e),op_d) = mult(ld(op_e,X1),op_e),
    inference(spm,[status(thm)],[c_0_32,c_0_181]) ).

cnf(c_0_202,plain,
    mult(rd(rd(X1,X2),mult(X2,X2)),X2) = rd(X1,mult(X2,X2)),
    inference(spm,[status(thm)],[c_0_182,c_0_25]) ).

cnf(c_0_203,plain,
    ld(mult(rd(op_e,X1),op_e),op_d) = rd(ld(op_e,X1),op_d),
    inference(spm,[status(thm)],[c_0_183,c_0_27]) ).

cnf(c_0_204,plain,
    rd(mult(X1,ld(mult(X2,X1),X3)),X1) = ld(X2,rd(X3,X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_184]) ).

cnf(c_0_205,plain,
    mult(X1,ld(ld(X1,X2),ld(X1,X3))) = ld(rd(X2,X1),X3),
    inference(spm,[status(thm)],[c_0_185,c_0_15]) ).

cnf(c_0_206,plain,
    rd(op_e,rd(op_d,mult(X1,op_e))) = mult(mult(op_e,X1),op_d),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_166]),c_0_29]) ).

cnf(c_0_207,plain,
    mult(ld(X1,mult(X2,X1)),ld(X1,X3)) = ld(X1,mult(X2,X3)),
    inference(spm,[status(thm)],[c_0_187,c_0_18]) ).

cnf(c_0_208,plain,
    ld(ld(mult(X1,mult(X1,X2)),X1),X2) = mult(mult(X1,X2),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_142]),c_0_39]) ).

cnf(c_0_209,plain,
    rd(X1,rd(mult(X2,X1),X2)) = mult(X1,rd(rd(X2,X1),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_188]),c_0_37]),c_0_105]),c_0_16]),c_0_19]),c_0_189]),c_0_173]),c_0_190]),c_0_191]) ).

cnf(c_0_210,plain,
    mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)),
    inference(spm,[status(thm)],[c_0_31,c_0_25]) ).

cnf(c_0_211,plain,
    mult(ld(ld(X1,unit),X2),X1) = mult(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_25,c_0_192]) ).

cnf(c_0_212,plain,
    ld(ld(op_d,unit),op_c) = mult(op_d,op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_193]),c_0_194]),c_0_107]),c_0_16]),c_0_29]),c_0_107]) ).

cnf(c_0_213,plain,
    mult(op_d,mult(op_d,op_c)) = mult(op_c,op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_132]),c_0_126]) ).

cnf(c_0_214,plain,
    mult(ld(ld(X1,op_d),unit),ld(X1,op_c)) = ld(op_d,op_c),
    inference(spm,[status(thm)],[c_0_25,c_0_196]) ).

cnf(c_0_215,plain,
    rd(op_e,op_f) = ld(op_e,unit),
    inference(spm,[status(thm)],[c_0_125,c_0_197]) ).

cnf(c_0_216,plain,
    mult(op_e,ld(op_d,unit)) = op_d,
    inference(spm,[status(thm)],[c_0_15,c_0_198]) ).

cnf(c_0_217,plain,
    ld(ld(op_d,op_f),op_e) = ld(op_d,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_126]),c_0_197]) ).

cnf(c_0_218,plain,
    mult(op_e,ld(op_f,rd(X1,op_d))) = rd(ld(op_e,X1),op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_126]),c_0_37]),c_0_203]),c_0_126]),c_0_184]),c_0_197]) ).

cnf(c_0_219,plain,
    rd(mult(mult(X1,op_d),op_e),op_d) = mult(X1,op_e),
    inference(spm,[status(thm)],[c_0_18,c_0_200]) ).

cnf(c_0_220,plain,
    rd(mult(op_d,ld(op_e,X1)),op_d) = ld(op_d,rd(X1,op_d)),
    inference(spm,[status(thm)],[c_0_204,c_0_126]) ).

cnf(c_0_221,plain,
    ld(ld(X1,X2),ld(X1,X3)) = ld(X1,ld(rd(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_16,c_0_205]) ).

cnf(c_0_222,plain,
    rd(mult(op_d,mult(op_d,X1)),op_d) = rd(op_e,rd(op_d,X1)),
    inference(spm,[status(thm)],[c_0_122,c_0_126]) ).

cnf(c_0_223,plain,
    rd(op_e,rd(op_d,X1)) = mult(mult(op_e,rd(X1,op_e)),op_d),
    inference(spm,[status(thm)],[c_0_206,c_0_25]) ).

cnf(c_0_224,plain,
    rd(ld(X1,mult(X2,X3)),ld(X1,X3)) = ld(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_207]) ).

cnf(c_0_225,plain,
    ld(ld(mult(X1,X2),X1),ld(X1,X2)) = mult(X2,ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_208,c_0_15]) ).

cnf(c_0_226,plain,
    mult(mult(X1,X2),ld(mult(X2,X1),X2)) = rd(mult(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_209]),c_0_210]),c_0_118]) ).

cnf(c_0_227,plain,
    mult(op_c,op_e) = mult(op_e,op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_119]),c_0_126]),c_0_107]),c_0_213]) ).

cnf(c_0_228,plain,
    rd(mult(X1,X2),mult(X1,mult(X2,X2))) = rd(X1,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_19]),c_0_16]) ).

cnf(c_0_229,plain,
    rd(mult(X1,ld(op_d,op_c)),op_c) = rd(X1,op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_214]),c_0_27]),c_0_18]) ).

cnf(c_0_230,plain,
    mult(mult(rd(X1,op_c),op_d),op_c) = mult(X1,op_d),
    inference(spm,[status(thm)],[c_0_119,c_0_25]) ).

cnf(c_0_231,plain,
    mult(ld(mult(X1,X1),unit),X1) = ld(X1,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49]),c_0_47]),c_0_23]),c_0_101]) ).

cnf(c_0_232,plain,
    mult(ld(op_e,unit),op_f) = op_e,
    inference(spm,[status(thm)],[c_0_25,c_0_215]) ).

cnf(c_0_233,plain,
    ld(op_e,ld(ld(op_d,unit),op_e)) = op_d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_216]),c_0_44]),c_0_126]),c_0_29]) ).

cnf(c_0_234,plain,
    rd(op_e,ld(op_d,unit)) = ld(op_d,op_f),
    inference(spm,[status(thm)],[c_0_39,c_0_217]) ).

cnf(c_0_235,plain,
    mult(ld(X1,X2),ld(X2,rd(X1,X2))) = ld(X2,unit),
    inference(spm,[status(thm)],[c_0_15,c_0_92]) ).

cnf(c_0_236,plain,
    ld(op_f,rd(op_e,X1)) = ld(mult(X1,op_e),unit),
    inference(spm,[status(thm)],[c_0_128,c_0_197]) ).

cnf(c_0_237,plain,
    ld(op_e,rd(ld(op_e,X1),op_d)) = ld(op_f,rd(X1,op_d)),
    inference(spm,[status(thm)],[c_0_16,c_0_218]) ).

cnf(c_0_238,plain,
    rd(mult(X1,op_e),op_d) = mult(rd(X1,op_d),op_e),
    inference(spm,[status(thm)],[c_0_219,c_0_25]) ).

cnf(c_0_239,plain,
    mult(mult(rd(X1,op_f),op_d),op_e) = mult(X1,ld(op_d,unit)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_220]),c_0_221]),c_0_47]),c_0_174]),c_0_38]),c_0_222]),c_0_223]),c_0_123]),c_0_197]),c_0_200]) ).

cnf(c_0_240,plain,
    rd(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X3),X1)),
    inference(spm,[status(thm)],[c_0_224,c_0_25]) ).

cnf(c_0_241,plain,
    ld(op_e,op_f) = op_e,
    inference(spm,[status(thm)],[c_0_16,c_0_197]) ).

cnf(c_0_242,plain,
    mult(ld(mult(X1,X2),X1),mult(X2,ld(X1,X2))) = ld(X1,X2),
    inference(spm,[status(thm)],[c_0_15,c_0_225]) ).

cnf(c_0_243,plain,
    ld(mult(mult(X1,X2),X1),mult(X1,X2)) = ld(mult(X2,X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_226]),c_0_118]) ).

cnf(c_0_244,plain,
    mult(mult(X1,op_c),op_e) = mult(mult(X1,op_e),op_c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_227]),c_0_16]) ).

cnf(c_0_245,plain,
    rd(X1,mult(X2,mult(ld(X2,X1),X2))) = rd(rd(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_73]),c_0_25]),c_0_25]) ).

cnf(c_0_246,plain,
    mult(rd(X1,op_d),op_c) = mult(X1,ld(op_d,op_c)),
    inference(spm,[status(thm)],[c_0_25,c_0_229]) ).

cnf(c_0_247,plain,
    mult(mult(rd(X1,rd(X2,X3)),X3),ld(X3,X2)) = mult(X1,X3),
    inference(spm,[status(thm)],[c_0_210,c_0_25]) ).

cnf(c_0_248,plain,
    rd(mult(X1,op_d),op_c) = mult(rd(X1,op_c),op_d),
    inference(spm,[status(thm)],[c_0_18,c_0_230]) ).

cnf(c_0_249,plain,
    mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))),
    inference(spm,[status(thm)],[c_0_169,c_0_25]) ).

cnf(c_0_250,plain,
    ld(op_c,mult(op_d,X1)) = mult(op_d,ld(op_c,X1)),
    inference(spm,[status(thm)],[c_0_16,c_0_195]) ).

cnf(c_0_251,plain,
    rd(mult(X1,rd(X2,ld(X1,unit))),X1) = mult(X1,X2),
    inference(spm,[status(thm)],[c_0_34,c_0_25]) ).

cnf(c_0_252,plain,
    mult(ld(op_e,unit),op_d) = ld(op_d,unit),
    inference(spm,[status(thm)],[c_0_231,c_0_126]) ).

cnf(c_0_253,plain,
    mult(op_d,ld(op_e,unit)) = ld(op_d,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_179]),c_0_18]),c_0_198]) ).

cnf(c_0_254,plain,
    ld(op_e,mult(op_f,op_e)) = op_f,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_232]),c_0_197]) ).

cnf(c_0_255,plain,
    ld(ld(op_d,unit),op_e) = mult(op_d,op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_233]),c_0_179]) ).

cnf(c_0_256,plain,
    ld(op_d,op_f) = mult(op_d,op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_216]),c_0_44]),c_0_126]),c_0_234]),c_0_29]) ).

cnf(c_0_257,plain,
    mult(ld(mult(X1,X2),X2),ld(X2,X1)) = ld(X2,unit),
    inference(spm,[status(thm)],[c_0_235,c_0_18]) ).

cnf(c_0_258,plain,
    ld(op_e,ld(X1,unit)) = rd(op_e,mult(X1,op_f)),
    inference(spm,[status(thm)],[c_0_152,c_0_197]) ).

cnf(c_0_259,plain,
    mult(op_f,ld(mult(X1,op_e),unit)) = rd(op_e,X1),
    inference(spm,[status(thm)],[c_0_15,c_0_236]) ).

cnf(c_0_260,plain,
    ld(mult(mult(X1,X2),X2),mult(X1,X2)) = ld(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_106,c_0_16]) ).

cnf(c_0_261,plain,
    ld(op_f,rd(mult(op_e,X1),op_d)) = ld(op_e,rd(X1,op_d)),
    inference(spm,[status(thm)],[c_0_237,c_0_16]) ).

cnf(c_0_262,plain,
    mult(rd(X1,op_d),ld(op_d,unit)) = mult(rd(X1,op_f),op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_158]),c_0_47]),c_0_18]) ).

cnf(c_0_263,plain,
    ld(op_e,mult(rd(X1,op_f),op_e)) = rd(ld(op_e,X1),op_e),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_264,plain,
    rd(mult(mult(X1,X2),ld(X2,X3)),X2) = mult(X1,rd(X3,X2)),
    inference(spm,[status(thm)],[c_0_18,c_0_210]) ).

cnf(c_0_265,plain,
    mult(ld(mult(X1,X2),X1),rd(X2,X1)) = ld(mult(X2,X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_150]),c_0_243]) ).

cnf(c_0_266,plain,
    mult(rd(mult(X1,X1),X2),X1) = mult(X1,mult(X1,ld(X2,X1))),
    inference(spm,[status(thm)],[c_0_25,c_0_110]) ).

cnf(c_0_267,plain,
    mult(mult(rd(X1,op_c),op_e),op_c) = mult(X1,op_e),
    inference(spm,[status(thm)],[c_0_244,c_0_25]) ).

cnf(c_0_268,plain,
    mult(rd(X1,rd(X1,X2)),X1) = mult(X2,mult(ld(X2,X1),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_245]),c_0_37]) ).

cnf(c_0_269,plain,
    rd(mult(X1,op_c),op_d) = mult(X1,ld(op_d,op_c)),
    inference(rw,[status(thm)],[c_0_145,c_0_246]) ).

cnf(c_0_270,plain,
    mult(op_d,mult(ld(op_d,X1),op_d)) = mult(rd(X1,op_d),op_e),
    inference(spm,[status(thm)],[c_0_67,c_0_180]) ).

cnf(c_0_271,plain,
    mult(ld(X1,unit),rd(mult(X1,X1),X2)) = ld(rd(X2,X1),unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_110]),c_0_16]),c_0_60]) ).

cnf(c_0_272,plain,
    rd(X1,ld(op_d,op_c)) = mult(rd(X1,op_c),op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_247]),c_0_248]),c_0_176]),c_0_18]) ).

cnf(c_0_273,plain,
    mult(X1,ld(ld(op_d,op_c),X1)) = mult(X1,mult(op_d,ld(op_c,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_164]),c_0_249]),c_0_250]),c_0_36]) ).

cnf(c_0_274,plain,
    mult(X1,rd(X2,ld(X1,unit))) = mult(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_25,c_0_251]) ).

cnf(c_0_275,plain,
    ld(ld(op_e,unit),ld(op_d,unit)) = op_d,
    inference(spm,[status(thm)],[c_0_16,c_0_252]) ).

cnf(c_0_276,plain,
    rd(ld(op_d,unit),ld(op_e,unit)) = op_d,
    inference(spm,[status(thm)],[c_0_18,c_0_253]) ).

cnf(c_0_277,plain,
    mult(op_f,op_e) = mult(op_e,op_f),
    inference(spm,[status(thm)],[c_0_15,c_0_254]) ).

cnf(c_0_278,plain,
    ld(ld(op_d,unit),mult(op_d,op_e)) = op_f,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_255]),c_0_29]),c_0_200]),c_0_126]),c_0_197]),c_0_234]),c_0_256]) ).

cnf(c_0_279,plain,
    rd(rd(X1,X2),rd(X2,mult(X1,X2))) = mult(rd(X1,X2),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_172]),c_0_32]) ).

cnf(c_0_280,plain,
    rd(ld(X1,unit),ld(X1,X2)) = ld(mult(X2,X1),X1),
    inference(spm,[status(thm)],[c_0_18,c_0_257]) ).

cnf(c_0_281,plain,
    mult(ld(mult(mult(X1,X2),X1),X1),X2) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_257,c_0_16]) ).

cnf(c_0_282,plain,
    rd(op_e,mult(ld(X1,unit),op_f)) = ld(op_e,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_32]),c_0_47]) ).

cnf(c_0_283,plain,
    rd(op_e,rd(X1,op_e)) = mult(op_f,ld(X1,unit)),
    inference(spm,[status(thm)],[c_0_259,c_0_25]) ).

cnf(c_0_284,plain,
    mult(ld(mult(X1,mult(X2,X1)),X1),X2) = ld(mult(X2,X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_260]),c_0_243]),c_0_15]) ).

cnf(c_0_285,plain,
    ld(op_f,rd(mult(op_e,X1),op_e)) = rd(ld(op_e,X1),op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_22]),c_0_198]),c_0_158]),c_0_47]),c_0_262]),c_0_263]) ).

cnf(c_0_286,plain,
    rd(mult(mult(X1,X2),X3),X2) = mult(X1,rd(mult(X2,X3),X2)),
    inference(spm,[status(thm)],[c_0_264,c_0_16]) ).

cnf(c_0_287,plain,
    rd(ld(mult(X1,X2),X1),rd(X1,X2)) = ld(mult(X2,X1),X2),
    inference(spm,[status(thm)],[c_0_18,c_0_265]) ).

cnf(c_0_288,plain,
    mult(op_e,mult(op_e,ld(X1,op_e))) = mult(rd(op_f,X1),op_e),
    inference(spm,[status(thm)],[c_0_266,c_0_197]) ).

cnf(c_0_289,plain,
    ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2),
    inference(spm,[status(thm)],[c_0_204,c_0_25]) ).

cnf(c_0_290,plain,
    rd(op_f,op_e) = op_e,
    inference(spm,[status(thm)],[c_0_18,c_0_197]) ).

cnf(c_0_291,plain,
    mult(X1,rd(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X3),X1),
    inference(spm,[status(thm)],[c_0_111,c_0_15]) ).

cnf(c_0_292,plain,
    rd(mult(X1,op_e),op_c) = mult(rd(X1,op_c),op_e),
    inference(spm,[status(thm)],[c_0_18,c_0_267]) ).

cnf(c_0_293,plain,
    mult(mult(X1,ld(op_d,op_c)),op_e) = mult(X1,mult(op_d,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_155]),c_0_73]),c_0_16]),c_0_270]),c_0_145]),c_0_246]) ).

cnf(c_0_294,plain,
    ld(ld(X1,unit),ld(rd(X2,X1),unit)) = rd(mult(X1,X1),X2),
    inference(spm,[status(thm)],[c_0_16,c_0_271]) ).

cnf(c_0_295,plain,
    ld(mult(rd(X1,op_c),op_d),X1) = ld(op_d,op_c),
    inference(spm,[status(thm)],[c_0_32,c_0_272]) ).

cnf(c_0_296,plain,
    mult(ld(op_c,unit),op_d) = mult(op_c,op_c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_132]),c_0_121]) ).

cnf(c_0_297,plain,
    ld(ld(op_d,op_c),X1) = mult(op_d,ld(op_c,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_273]),c_0_16]) ).

cnf(c_0_298,plain,
    mult(mult(X1,X1),mult(X1,X1)) = mult(X1,mult(X1,mult(X1,X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_69]),c_0_72]) ).

cnf(c_0_299,plain,
    ld(ld(op_e,unit),op_d) = mult(op_d,op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_275]),c_0_29]),c_0_276]) ).

cnf(c_0_300,plain,
    mult(mult(X1,op_f),op_e) = mult(mult(X1,op_e),op_f),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_277]),c_0_16]) ).

cnf(c_0_301,plain,
    mult(ld(op_d,unit),op_f) = mult(op_d,op_e),
    inference(spm,[status(thm)],[c_0_15,c_0_278]) ).

cnf(c_0_302,plain,
    mult(mult(op_d,op_e),op_e) = mult(op_f,op_d),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_197]),c_0_179]) ).

cnf(c_0_303,plain,
    rd(ld(X1,mult(X2,X1)),ld(X2,X1)) = ld(X1,mult(X2,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_49]),c_0_240]),c_0_95]),c_0_280]),c_0_25]),c_0_240]),c_0_95]),c_0_207]) ).

cnf(c_0_304,plain,
    rd(ld(X1,unit),X2) = ld(mult(mult(X1,X2),X1),X1),
    inference(spm,[status(thm)],[c_0_18,c_0_281]) ).

cnf(c_0_305,plain,
    rd(op_e,mult(op_f,ld(X1,op_f))) = ld(op_e,rd(X1,op_f)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_249]),c_0_36]) ).

cnf(c_0_306,plain,
    ld(op_f,op_e) = ld(op_e,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_277]),c_0_16]),c_0_241]) ).

cnf(c_0_307,plain,
    ld(mult(op_f,ld(X1,unit)),op_e) = rd(X1,op_e),
    inference(spm,[status(thm)],[c_0_32,c_0_283]) ).

cnf(c_0_308,plain,
    ld(ld(mult(X1,mult(X2,X1)),X1),X2) = mult(mult(X2,X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_284]),c_0_39]) ).

cnf(c_0_309,plain,
    mult(op_f,rd(ld(op_e,X1),op_e)) = rd(mult(op_e,X1),op_e),
    inference(spm,[status(thm)],[c_0_15,c_0_285]) ).

cnf(c_0_310,plain,
    mult(rd(X1,X2),rd(mult(X2,X3),X2)) = rd(mult(X1,X3),X2),
    inference(spm,[status(thm)],[c_0_286,c_0_25]) ).

cnf(c_0_311,plain,
    ld(mult(ld(X1,X2),X2),ld(X1,X2)) = rd(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_39]),c_0_106]),c_0_159]) ).

cnf(c_0_312,plain,
    rd(op_e,mult(X1,op_e)) = ld(mult(op_f,X1),op_f),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_288]),c_0_18]),c_0_118]),c_0_16]),c_0_159]) ).

cnf(c_0_313,plain,
    rd(mult(op_e,ld(X1,op_f)),op_e) = mult(rd(op_e,X1),op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_37]) ).

cnf(c_0_314,plain,
    ld(mult(rd(op_e,X1),op_e),op_f) = ld(op_e,mult(X1,op_e)),
    inference(spm,[status(thm)],[c_0_79,c_0_197]) ).

cnf(c_0_315,plain,
    ld(X1,mult(rd(mult(X1,X2),X3),X1)) = rd(X2,ld(X1,X3)),
    inference(spm,[status(thm)],[c_0_16,c_0_291]) ).

cnf(c_0_316,plain,
    rd(mult(X1,mult(op_d,op_c)),op_c) = mult(rd(X1,op_d),op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_229]) ).

cnf(c_0_317,plain,
    rd(mult(op_d,op_c),X1) = mult(op_d,rd(op_c,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_47]),c_0_296]),c_0_127]),c_0_297]),c_0_16]),c_0_47]),c_0_296]),c_0_47]),c_0_296]),c_0_298]),c_0_76]),c_0_107]) ).

cnf(c_0_318,plain,
    mult(ld(mult(mult(X1,X1),X2),X1),X1) = ld(X2,unit),
    inference(spm,[status(thm)],[c_0_153,c_0_16]) ).

cnf(c_0_319,plain,
    ld(ld(X1,ld(X2,unit)),X1) = mult(X2,mult(X1,X1)),
    inference(spm,[status(thm)],[c_0_32,c_0_152]) ).

cnf(c_0_320,plain,
    rd(op_e,mult(op_d,ld(X1,op_d))) = rd(mult(op_d,X1),op_d),
    inference(spm,[status(thm)],[c_0_155,c_0_126]) ).

cnf(c_0_321,plain,
    mult(ld(op_e,unit),mult(op_d,op_e)) = op_d,
    inference(spm,[status(thm)],[c_0_15,c_0_299]) ).

cnf(c_0_322,plain,
    mult(op_f,op_d) = mult(op_d,op_f),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_302]),c_0_151]) ).

cnf(c_0_323,plain,
    rd(mult(op_f,op_d),op_e) = mult(op_d,op_e),
    inference(spm,[status(thm)],[c_0_18,c_0_302]) ).

cnf(c_0_324,plain,
    mult(ld(X1,mult(X2,X2)),ld(X2,X1)) = ld(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_25,c_0_303]) ).

cnf(c_0_325,plain,
    ld(mult(mult(X1,rd(X1,X2)),X1),X1) = rd(ld(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_61,c_0_304]) ).

cnf(c_0_326,plain,
    ld(mult(mult(op_e,ld(X1,op_f)),op_e),op_e) = ld(mult(op_e,op_f),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_305]),c_0_184]),c_0_16]),c_0_306]),c_0_304]) ).

cnf(c_0_327,plain,
    ld(mult(rd(op_f,X1),op_f),op_e) = rd(ld(op_f,X1),op_e),
    inference(spm,[status(thm)],[c_0_307,c_0_27]) ).

cnf(c_0_328,plain,
    ld(op_e,mult(mult(op_f,X1),op_e)) = mult(op_e,mult(X1,op_e)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_310]),c_0_289]),c_0_311]),c_0_312]),c_0_313]),c_0_314]),c_0_19]),c_0_241]) ).

cnf(c_0_329,plain,
    rd(ld(ld(X1,unit),X2),ld(X1,unit)) = mult(mult(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_32]),c_0_47]),c_0_274]),c_0_47]),c_0_47]) ).

cnf(c_0_330,plain,
    ld(X1,mult(mult(rd(X1,op_d),op_e),X1)) = mult(op_d,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_317]),c_0_39]) ).

cnf(c_0_331,plain,
    rd(ld(X1,unit),X2) = ld(mult(mult(X2,X2),X1),X2),
    inference(spm,[status(thm)],[c_0_18,c_0_318]) ).

cnf(c_0_332,plain,
    mult(rd(op_e,mult(op_d,X1)),op_d) = mult(op_d,rd(op_d,X1)),
    inference(spm,[status(thm)],[c_0_111,c_0_126]) ).

cnf(c_0_333,plain,
    ld(ld(X1,X2),X1) = mult(ld(X2,unit),mult(X1,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_319]),c_0_24]),c_0_24]),c_0_41]) ).

cnf(c_0_334,plain,
    ld(ld(op_d,unit),ld(X1,unit)) = rd(op_e,mult(X1,op_d)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_40]),c_0_15]),c_0_192]) ).

cnf(c_0_335,plain,
    ld(rd(op_e,X1),ld(op_d,unit)) = rd(X1,mult(op_d,op_e)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_203]),c_0_123]),c_0_179]),c_0_18]),c_0_139]) ).

cnf(c_0_336,plain,
    ld(op_e,mult(op_d,op_f)) = mult(op_d,op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_321]),c_0_302]),c_0_322]) ).

cnf(c_0_337,plain,
    rd(mult(op_d,op_f),op_e) = mult(op_d,op_e),
    inference(rw,[status(thm)],[c_0_323,c_0_322]) ).

cnf(c_0_338,plain,
    ld(op_e,mult(op_d,op_e)) = op_d,
    inference(spm,[status(thm)],[c_0_16,c_0_179]) ).

cnf(c_0_339,plain,
    ld(rd(X1,op_f),unit) = mult(op_e,rd(op_e,X1)),
    inference(spm,[status(thm)],[c_0_127,c_0_197]) ).

cnf(c_0_340,plain,
    ld(ld(op_f,X1),unit) = mult(ld(X1,op_e),op_e),
    inference(spm,[status(thm)],[c_0_153,c_0_197]) ).

cnf(c_0_341,plain,
    mult(ld(X1,op_e),ld(op_d,X1)) = ld(X1,mult(op_d,X1)),
    inference(spm,[status(thm)],[c_0_324,c_0_126]) ).

cnf(c_0_342,plain,
    ld(mult(op_e,op_f),mult(op_f,X1)) = mult(ld(op_e,unit),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_312]),c_0_326]),c_0_62]) ).

cnf(c_0_343,plain,
    mult(ld(X1,unit),mult(X1,X2)) = mult(X1,mult(ld(X1,unit),X2)),
    inference(spm,[status(thm)],[c_0_73,c_0_47]) ).

cnf(c_0_344,plain,
    ld(rd(op_f,X1),ld(op_e,unit)) = rd(X1,mult(op_e,op_f)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_327]),c_0_123]),c_0_277]),c_0_18]),c_0_215]) ).

cnf(c_0_345,plain,
    ld(X1,ld(op_e,unit)) = mult(ld(mult(op_f,X1),unit),op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_328]),c_0_87]),c_0_52]) ).

cnf(c_0_346,plain,
    mult(op_f,ld(op_e,unit)) = op_e,
    inference(spm,[status(thm)],[c_0_15,c_0_306]) ).

cnf(c_0_347,plain,
    rd(X1,mult(mult(X2,X1),mult(X2,X1))) = ld(mult(mult(X2,X1),X2),unit),
    inference(spm,[status(thm)],[c_0_102,c_0_16]) ).

cnf(c_0_348,plain,
    mult(X1,mult(ld(mult(op_e,X1),op_d),op_e)) = op_d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_18]),c_0_331]),c_0_126]),c_0_34]),c_0_25]) ).

cnf(c_0_349,plain,
    rd(op_d,rd(op_e,mult(op_d,X1))) = mult(op_e,rd(X1,op_e)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_332]),c_0_126]),c_0_115]),c_0_126]) ).

cnf(c_0_350,plain,
    rd(mult(X1,op_d),mult(op_d,op_e)) = mult(X1,ld(op_e,unit)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_335]),c_0_29]),c_0_49]),c_0_47]),c_0_101]),c_0_126]) ).

cnf(c_0_351,plain,
    mult(mult(op_d,op_e),ld(op_e,unit)) = op_d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_336]),c_0_337]),c_0_338]) ).

cnf(c_0_352,plain,
    mult(ld(mult(mult(X1,X2),X1),X1),X1) = ld(X1,ld(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_35]),c_0_48]) ).

cnf(c_0_353,plain,
    mult(op_e,rd(op_e,rd(op_f,X1))) = rd(mult(op_f,X1),op_f),
    inference(spm,[status(thm)],[c_0_65,c_0_339]) ).

cnf(c_0_354,plain,
    mult(ld(mult(op_f,X1),op_e),op_e) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_340,c_0_16]) ).

cnf(c_0_355,plain,
    ld(X1,ld(rd(op_e,X1),mult(op_d,X1))) = ld(op_d,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_341]),c_0_221]) ).

cnf(c_0_356,plain,
    mult(op_f,ld(mult(op_e,op_f),X1)) = mult(ld(op_e,unit),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_342]),c_0_343]),c_0_232]),c_0_197]),c_0_342]) ).

cnf(c_0_357,plain,
    mult(rd(X1,mult(op_f,op_f)),op_e) = rd(X1,mult(op_e,op_f)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_345]),c_0_115]) ).

cnf(c_0_358,plain,
    rd(op_f,ld(op_e,unit)) = mult(op_e,op_f),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_346]),c_0_44]),c_0_197]),c_0_29]) ).

cnf(c_0_359,plain,
    rd(mult(mult(X1,op_e),op_f),op_e) = mult(X1,op_f),
    inference(spm,[status(thm)],[c_0_18,c_0_300]) ).

cnf(c_0_360,plain,
    ld(mult(op_e,X1),op_d) = ld(mult(op_d,X1),unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_126]),c_0_18]) ).

cnf(c_0_361,plain,
    mult(op_e,rd(ld(op_d,X1),op_e)) = rd(op_d,rd(op_e,X1)),
    inference(spm,[status(thm)],[c_0_349,c_0_15]) ).

cnf(c_0_362,plain,
    mult(rd(X1,mult(op_d,op_e)),op_d) = mult(X1,ld(op_e,unit)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_350]),c_0_351]),c_0_350]) ).

cnf(c_0_363,plain,
    ld(mult(X1,ld(op_e,unit)),unit) = ld(op_e,rd(op_f,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_19]),c_0_306]),c_0_354]),c_0_32]) ).

cnf(c_0_364,plain,
    rd(mult(op_e,ld(op_f,X1)),op_e) = ld(op_e,rd(X1,op_e)),
    inference(spm,[status(thm)],[c_0_204,c_0_197]) ).

cnf(c_0_365,plain,
    rd(mult(X1,ld(X2,mult(X3,X1))),X1) = ld(rd(X2,X1),X3),
    inference(spm,[status(thm)],[c_0_18,c_0_249]) ).

cnf(c_0_366,plain,
    ld(rd(op_e,X1),mult(op_d,X1)) = mult(X1,ld(op_d,X1)),
    inference(spm,[status(thm)],[c_0_15,c_0_355]) ).

cnf(c_0_367,plain,
    ld(op_f,mult(ld(op_e,unit),X1)) = ld(mult(op_e,op_f),X1),
    inference(spm,[status(thm)],[c_0_16,c_0_356]) ).

cnf(c_0_368,plain,
    rd(rd(X1,mult(op_e,op_f)),op_e) = rd(X1,mult(op_f,op_f)),
    inference(spm,[status(thm)],[c_0_18,c_0_357]) ).

cnf(c_0_369,plain,
    mult(op_e,mult(op_e,op_f)) = mult(op_f,op_f),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_358]),c_0_300]),c_0_197]) ).

cnf(c_0_370,plain,
    rd(mult(X1,op_f),op_e) = mult(rd(X1,op_e),op_f),
    inference(spm,[status(thm)],[c_0_359,c_0_25]) ).

cnf(c_0_371,plain,
    mult(rd(X1,mult(X2,X1)),ld(X2,X1)) = ld(X2,ld(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_39]),c_0_159]) ).

cnf(c_0_372,plain,
    mult(ld(mult(X1,X2),X2),ld(X2,unit)) = ld(X2,ld(X1,unit)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_52]),c_0_18]) ).

cnf(c_0_373,plain,
    ld(op_e,rd(op_f,X1)) = rd(op_e,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_32]),c_0_123]),c_0_362]),c_0_363]) ).

cnf(c_0_374,plain,
    ld(mult(op_e,rd(op_f,X1)),op_e) = rd(X1,op_f),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_285]),c_0_123]),c_0_197]),c_0_18]),c_0_173]),c_0_197]),c_0_118]) ).

cnf(c_0_375,plain,
    ld(mult(X1,ld(X2,X1)),X2) = ld(X1,mult(X2,ld(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_125]),c_0_249]),c_0_36]),c_0_210]),c_0_25]) ).

cnf(c_0_376,plain,
    ld(rd(rd(op_e,X1),X1),op_d) = rd(mult(X1,X1),op_d),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_110]) ).

cnf(c_0_377,plain,
    rd(rd(X1,rd(ld(X1,unit),X2)),X1) = mult(X1,X2),
    inference(spm,[status(thm)],[c_0_189,c_0_32]) ).

cnf(c_0_378,plain,
    mult(ld(mult(op_e,X1),op_d),op_d) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_167,c_0_16]) ).

cnf(c_0_379,plain,
    ld(rd(mult(op_e,op_f),X1),unit) = rd(X1,mult(op_e,op_f)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_367]),c_0_60]),c_0_345]),c_0_115]),c_0_357]) ).

cnf(c_0_380,plain,
    rd(mult(X1,op_e),mult(op_f,op_f)) = rd(X1,mult(op_e,op_f)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_368]),c_0_369]),c_0_370]),c_0_290]) ).

cnf(c_0_381,plain,
    ld(ld(mult(X1,X2),X2),ld(X2,X1)) = ld(X2,mult(X1,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_280]),c_0_40]),c_0_92]),c_0_18]),c_0_207]),c_0_92]),c_0_18]) ).

cnf(c_0_382,plain,
    mult(op_e,rd(op_e,X1)) = rd(op_f,X1),
    inference(spm,[status(thm)],[c_0_15,c_0_373]) ).

cnf(c_0_383,plain,
    mult(op_e,rd(op_e,mult(X1,op_f))) = ld(X1,unit),
    inference(spm,[status(thm)],[c_0_339,c_0_18]) ).

cnf(c_0_384,plain,
    rd(op_f,mult(X1,op_f)) = ld(mult(op_e,X1),op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_39]),c_0_159]) ).

cnf(c_0_385,plain,
    ld(mult(X1,ld(X2,ld(X1,X2))),X1) = ld(X2,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_188]),c_0_25]) ).

cnf(c_0_386,plain,
    ld(mult(X1,X2),rd(X1,X2)) = ld(mult(mult(X1,X2),X2),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_16]),c_0_150]) ).

cnf(c_0_387,plain,
    rd(rd(op_e,X1),X1) = mult(op_e,ld(mult(X1,X1),unit)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_376]),c_0_171]),c_0_126]) ).

cnf(c_0_388,plain,
    rd(X1,rd(ld(X1,unit),X2)) = mult(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_25,c_0_377]) ).

cnf(c_0_389,plain,
    rd(ld(X1,unit),op_d) = ld(mult(op_e,X1),op_d),
    inference(spm,[status(thm)],[c_0_18,c_0_378]) ).

cnf(c_0_390,plain,
    rd(rd(op_f,X1),op_e) = mult(op_f,ld(mult(op_e,X1),unit)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_197]),c_0_171]),c_0_197]) ).

cnf(c_0_391,plain,
    ld(mult(mult(X1,X1),X2),mult(X1,X2)) = ld(mult(X1,X2),X2),
    inference(spm,[status(thm)],[c_0_106,c_0_31]) ).

cnf(c_0_392,plain,
    ld(rd(X1,mult(op_e,op_f)),unit) = rd(mult(op_e,op_f),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_379]),c_0_94]),c_0_95]),c_0_41]) ).

cnf(c_0_393,plain,
    rd(rd(X1,op_e),mult(op_e,op_f)) = rd(X1,mult(op_f,op_f)),
    inference(spm,[status(thm)],[c_0_380,c_0_25]) ).

cnf(c_0_394,plain,
    rd(op_e,ld(X1,op_f)) = ld(op_e,X1),
    inference(spm,[status(thm)],[c_0_373,c_0_39]) ).

cnf(c_0_395,plain,
    ld(rd(op_e,X1),op_f) = mult(X1,op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_382]),c_0_289]),c_0_306]),c_0_117]),c_0_32]),c_0_32]),c_0_197]) ).

cnf(c_0_396,plain,
    ld(mult(op_e,X1),op_e) = ld(X1,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_383,c_0_382]),c_0_384]) ).

cnf(c_0_397,plain,
    mult(mult(X1,rd(X2,mult(X2,X3))),X2) = mult(mult(X1,X2),ld(X3,unit)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_105]),c_0_16]) ).

cnf(c_0_398,plain,
    mult(rd(op_f,mult(op_e,X1)),op_e) = mult(op_e,rd(op_e,X1)),
    inference(spm,[status(thm)],[c_0_111,c_0_197]) ).

cnf(c_0_399,plain,
    rd(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(X2,mult(X3,X2)),
    inference(spm,[status(thm)],[c_0_315,c_0_39]) ).

cnf(c_0_400,plain,
    ld(ld(rd(X1,X2),ld(X2,X1)),X2) = ld(ld(X2,X1),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_221]),c_0_15]),c_0_15]) ).

cnf(c_0_401,plain,
    ld(mult(mult(op_e,X1),X1),op_e) = ld(mult(X1,X1),unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_25]),c_0_16]),c_0_25]),c_0_386]) ).

cnf(c_0_402,plain,
    mult(ld(X1,op_f),ld(op_e,unit)) = mult(ld(X1,op_d),op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_313]),c_0_28]),c_0_167]) ).

cnf(c_0_403,plain,
    rd(X1,ld(mult(mult(X2,X1),X2),X2)) = mult(mult(X1,X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_281]),c_0_29]) ).

cnf(c_0_404,plain,
    rd(X1,ld(mult(op_e,X1),op_d)) = mult(mult(X1,op_d),X1),
    inference(spm,[status(thm)],[c_0_388,c_0_389]) ).

cnf(c_0_405,plain,
    mult(rd(op_e,rd(op_f,X1)),op_e) = rd(mult(op_e,X1),op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_390]),c_0_307]) ).

cnf(c_0_406,plain,
    rd(op_e,rd(op_f,X1)) = mult(op_e,rd(X1,op_f)),
    inference(spm,[status(thm)],[c_0_150,c_0_374]) ).

cnf(c_0_407,plain,
    ld(X1,ld(rd(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_221,c_0_16]) ).

cnf(c_0_408,plain,
    ld(mult(mult(X1,X1),ld(X1,X2)),X2) = ld(X2,ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_391,c_0_15]) ).

cnf(c_0_409,plain,
    rd(mult(op_e,op_f),rd(X1,op_e)) = mult(op_f,rd(op_f,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_127]) ).

cnf(c_0_410,plain,
    ld(mult(op_f,rd(op_e,X1)),op_f) = rd(X1,op_e),
    inference(spm,[status(thm)],[c_0_33,c_0_312]) ).

cnf(c_0_411,plain,
    ld(mult(op_f,X1),op_f) = ld(X1,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_312]),c_0_118]),c_0_396]) ).

cnf(c_0_412,plain,
    mult(op_f,ld(X1,unit)) = rd(op_f,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_382]),c_0_398]),c_0_382]),c_0_197]) ).

cnf(c_0_413,plain,
    ld(ld(X1,mult(X2,X1)),X3) = ld(X1,ld(X2,mult(X1,X3))),
    inference(spm,[status(thm)],[c_0_32,c_0_399]) ).

cnf(c_0_414,plain,
    ld(ld(rd(X1,X2),unit),X2) = mult(X2,ld(ld(X1,X2),unit)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_60]),c_0_105]) ).

cnf(c_0_415,plain,
    rd(X1,ld(ld(X1,X2),X2)) = ld(rd(X2,X1),ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_39,c_0_400]) ).

cnf(c_0_416,plain,
    rd(X1,mult(X2,ld(X1,unit))) = mult(X1,mult(X1,ld(X2,unit))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_38]),c_0_37]),c_0_105]) ).

cnf(c_0_417,plain,
    mult(mult(mult(op_e,X1),X1),ld(mult(X1,X1),unit)) = op_e,
    inference(spm,[status(thm)],[c_0_15,c_0_401]) ).

cnf(c_0_418,plain,
    ld(ld(X1,op_f),mult(ld(X1,op_d),op_d)) = ld(op_e,unit),
    inference(spm,[status(thm)],[c_0_16,c_0_402]) ).

cnf(c_0_419,plain,
    ld(mult(mult(X1,X1),X2),X1) = ld(mult(mult(X2,X1),X2),X2),
    inference(spm,[status(thm)],[c_0_32,c_0_403]) ).

cnf(c_0_420,plain,
    ld(mult(mult(X1,op_d),X1),X1) = ld(mult(op_e,X1),op_d),
    inference(spm,[status(thm)],[c_0_32,c_0_404]) ).

cnf(c_0_421,plain,
    ld(rd(X1,op_e),unit) = mult(op_d,rd(op_d,X1)),
    inference(spm,[status(thm)],[c_0_127,c_0_126]) ).

cnf(c_0_422,plain,
    mult(mult(op_e,rd(X1,op_f)),op_e) = rd(mult(op_e,X1),op_e),
    inference(rw,[status(thm)],[c_0_405,c_0_406]) ).

cnf(c_0_423,plain,
    ld(rd(X1,X2),mult(X2,X3)) = mult(X2,ld(ld(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_407]) ).

cnf(c_0_424,plain,
    mult(X1,ld(ld(X2,X1),X1)) = mult(mult(X2,X2),ld(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_408]),c_0_89]) ).

cnf(c_0_425,plain,
    mult(op_f,rd(op_f,mult(X1,op_e))) = rd(mult(op_e,op_f),X1),
    inference(spm,[status(thm)],[c_0_409,c_0_18]) ).

cnf(c_0_426,plain,
    ld(ld(mult(op_f,X1),op_f),op_e) = mult(X1,op_e),
    inference(spm,[status(thm)],[c_0_32,c_0_312]) ).

cnf(c_0_427,plain,
    ld(rd(op_e,X1),unit) = rd(X1,op_e),
    inference(rw,[status(thm)],[c_0_410,c_0_411]) ).

cnf(c_0_428,plain,
    mult(rd(rd(op_f,X1),X2),X1) = mult(op_f,ld(X1,ld(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_413]),c_0_24]),c_0_108]) ).

cnf(c_0_429,plain,
    mult(rd(X1,mult(X2,X1)),rd(X1,X2)) = ld(X2,rd(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_131]),c_0_29]),c_0_289]),c_0_185]),c_0_189]),c_0_415]),c_0_123]),c_0_25]),c_0_159]) ).

cnf(c_0_430,plain,
    mult(mult(X1,X1),rd(X1,mult(op_e,X1))) = rd(mult(X1,X1),op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_156]) ).

cnf(c_0_431,plain,
    ld(ld(mult(op_e,X1),op_f),ld(X1,unit)) = ld(op_e,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_126]),c_0_420]),c_0_378]) ).

cnf(c_0_432,plain,
    mult(op_e,ld(X1,unit)) = rd(op_e,X1),
    inference(spm,[status(thm)],[c_0_150,c_0_396]) ).

cnf(c_0_433,plain,
    mult(op_d,rd(op_d,rd(op_e,X1))) = rd(mult(op_e,X1),op_e),
    inference(spm,[status(thm)],[c_0_65,c_0_421]) ).

cnf(c_0_434,plain,
    mult(op_e,ld(mult(X1,op_f),X1)) = ld(mult(X1,op_e),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_422]),c_0_25]),c_0_118]),c_0_243]),c_0_423]),c_0_16]),c_0_118]) ).

cnf(c_0_435,plain,
    ld(mult(X1,X1),mult(X2,ld(ld(X1,X2),X2))) = ld(X1,X2),
    inference(spm,[status(thm)],[c_0_16,c_0_424]) ).

cnf(c_0_436,plain,
    ld(op_f,rd(mult(op_e,op_f),X1)) = rd(op_f,mult(X1,op_e)),
    inference(spm,[status(thm)],[c_0_16,c_0_425]) ).

cnf(c_0_437,plain,
    mult(ld(ld(X1,op_f),op_e),op_e) = ld(op_f,mult(X1,op_f)),
    inference(spm,[status(thm)],[c_0_59,c_0_340]) ).

cnf(c_0_438,plain,
    ld(ld(X1,op_f),op_e) = mult(ld(op_f,X1),op_e),
    inference(spm,[status(thm)],[c_0_426,c_0_15]) ).

cnf(c_0_439,plain,
    mult(ld(op_f,unit),ld(op_e,X1)) = ld(mult(op_e,op_f),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_402]),c_0_49]),c_0_47]),c_0_101]),c_0_197]),c_0_116]),c_0_126]),c_0_304]),c_0_326]) ).

cnf(c_0_440,plain,
    rd(X1,mult(X1,rd(X2,op_e))) = rd(mult(X1,op_e),mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_427]),c_0_24]),c_0_100]) ).

cnf(c_0_441,plain,
    rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_33,c_0_105]) ).

cnf(c_0_442,plain,
    mult(rd(op_f,X1),rd(X1,mult(X2,X1))) = rd(rd(op_f,X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_428]),c_0_158]),c_0_159]) ).

cnf(c_0_443,plain,
    rd(rd(X1,X2),mult(X2,rd(X1,X2))) = rd(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_429]),c_0_159]) ).

cnf(c_0_444,plain,
    ld(mult(mult(X1,X1),op_e),mult(X1,X1)) = rd(X1,mult(op_e,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_430]),c_0_118]) ).

cnf(c_0_445,plain,
    ld(mult(X1,op_e),X1) = ld(op_e,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_395]),c_0_29]) ).

cnf(c_0_446,plain,
    mult(rd(rd(X1,X2),rd(X3,X2)),X2) = rd(X1,ld(X2,X3)),
    inference(spm,[status(thm)],[c_0_143,c_0_25]) ).

cnf(c_0_447,plain,
    rd(mult(mult(X1,X2),X1),rd(X2,ld(X1,unit))) = X1,
    inference(spm,[status(thm)],[c_0_18,c_0_274]) ).

cnf(c_0_448,plain,
    ld(mult(X1,ld(op_d,unit)),unit) = ld(op_d,rd(op_e,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_433]),c_0_19]),c_0_198]),c_0_378]),c_0_32]) ).

cnf(c_0_449,plain,
    rd(op_e,ld(X1,ld(op_d,unit))) = mult(mult(op_d,op_e),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_84]),c_0_65]),c_0_210]),c_0_179]),c_0_16]) ).

cnf(c_0_450,plain,
    rd(ld(mult(X1,op_e),X1),op_e) = ld(mult(X1,op_f),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_434]),c_0_260]),c_0_370]),c_0_18]) ).

cnf(c_0_451,plain,
    rd(op_f,mult(X1,op_e)) = rd(op_e,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_373]),c_0_197]),c_0_289]),c_0_241]),c_0_310]),c_0_277]),c_0_436]) ).

cnf(c_0_452,plain,
    mult(mult(ld(op_f,X1),op_e),op_e) = ld(op_f,mult(X1,op_f)),
    inference(rw,[status(thm)],[c_0_437,c_0_438]) ).

cnf(c_0_453,plain,
    ld(mult(op_e,op_f),mult(op_e,X1)) = mult(ld(op_f,unit),X1),
    inference(spm,[status(thm)],[c_0_439,c_0_16]) ).

cnf(c_0_454,plain,
    rd(X1,mult(rd(X2,mult(X1,op_e)),X1)) = rd(mult(X1,op_e),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_123]),c_0_15]) ).

cnf(c_0_455,plain,
    ld(mult(X1,mult(X1,ld(X2,unit))),X1) = mult(X2,ld(X1,unit)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_441]),c_0_38]) ).

cnf(c_0_456,plain,
    ld(mult(rd(op_f,X1),X2),rd(op_f,X1)) = rd(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_442]),c_0_118]) ).

cnf(c_0_457,plain,
    ld(rd(op_f,X1),unit) = rd(X1,op_f),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_382]),c_0_197]) ).

cnf(c_0_458,plain,
    mult(mult(rd(X1,op_f),op_e),op_f) = mult(X1,op_e),
    inference(spm,[status(thm)],[c_0_300,c_0_25]) ).

cnf(c_0_459,plain,
    mult(rd(X1,mult(X2,X1)),mult(X2,rd(X1,X2))) = rd(X1,X2),
    inference(spm,[status(thm)],[c_0_25,c_0_443]) ).

cnf(c_0_460,plain,
    rd(X1,mult(op_e,X1)) = ld(op_e,unit),
    inference(rw,[status(thm)],[c_0_444,c_0_445]) ).

cnf(c_0_461,plain,
    rd(rd(X1,X2),ld(mult(X1,X2),X1)) = X1,
    inference(spm,[status(thm)],[c_0_39,c_0_118]) ).

cnf(c_0_462,plain,
    ld(mult(ld(X1,X2),X1),ld(X1,X2)) = ld(mult(X2,X1),X2),
    inference(spm,[status(thm)],[c_0_243,c_0_15]) ).

cnf(c_0_463,plain,
    rd(rd(X1,ld(X2,X3)),X2) = rd(rd(X1,X2),rd(X3,X2)),
    inference(spm,[status(thm)],[c_0_18,c_0_446]) ).

cnf(c_0_464,plain,
    ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)),
    inference(spm,[status(thm)],[c_0_32,c_0_447]) ).

cnf(c_0_465,plain,
    rd(op_f,mult(op_e,ld(X1,op_e))) = rd(mult(op_e,X1),op_e),
    inference(spm,[status(thm)],[c_0_155,c_0_197]) ).

cnf(c_0_466,plain,
    ld(ld(op_e,unit),X1) = ld(op_d,mult(mult(op_d,op_e),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_448]),c_0_449]),c_0_49]),c_0_47]),c_0_101]),c_0_126]) ).

cnf(c_0_467,plain,
    ld(rd(X1,op_f),unit) = rd(op_f,X1),
    inference(rw,[status(thm)],[c_0_339,c_0_382]) ).

cnf(c_0_468,plain,
    ld(mult(X1,op_f),X1) = ld(op_f,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_450,c_0_445]),c_0_163]),c_0_197]) ).

cnf(c_0_469,plain,
    mult(ld(X1,unit),op_f) = ld(X1,op_f),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_89]),c_0_52]),c_0_312]),c_0_15]) ).

cnf(c_0_470,plain,
    mult(op_e,mult(ld(op_f,unit),X1)) = ld(op_e,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_285]),c_0_25]),c_0_277]),c_0_453]) ).

cnf(c_0_471,plain,
    rd(ld(X1,op_e),op_f) = ld(mult(op_e,X1),unit),
    inference(spm,[status(thm)],[c_0_102,c_0_197]) ).

cnf(c_0_472,plain,
    ld(rd(mult(X1,op_e),X2),X1) = mult(rd(X2,mult(X1,op_e)),X1),
    inference(spm,[status(thm)],[c_0_32,c_0_454]) ).

cnf(c_0_473,plain,
    rd(X1,mult(op_f,ld(mult(X2,X1),X1))) = mult(X2,rd(X1,op_f)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_42]),c_0_104]),c_0_36]),c_0_457]) ).

cnf(c_0_474,plain,
    rd(mult(X1,op_e),op_f) = mult(rd(X1,op_f),op_e),
    inference(spm,[status(thm)],[c_0_18,c_0_458]) ).

cnf(c_0_475,plain,
    mult(rd(X1,op_f),op_e) = rd(X1,op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_460]),c_0_343]),c_0_112]),c_0_123]),c_0_197]) ).

cnf(c_0_476,plain,
    rd(mult(X1,ld(mult(X2,X3),X3)),X3) = mult(rd(X1,X3),ld(X2,unit)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_52]),c_0_18]) ).

cnf(c_0_477,plain,
    rd(ld(X1,op_d),op_e) = ld(mult(op_d,X1),unit),
    inference(spm,[status(thm)],[c_0_102,c_0_126]) ).

cnf(c_0_478,plain,
    rd(rd(ld(X1,X2),X1),ld(mult(X2,X1),X2)) = ld(X1,X2),
    inference(spm,[status(thm)],[c_0_461,c_0_462]) ).

cnf(c_0_479,plain,
    rd(rd(X1,X2),ld(X2,unit)) = mult(X2,mult(ld(X2,unit),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_62]),c_0_47]),c_0_343]) ).

cnf(c_0_480,plain,
    ld(op_d,mult(mult(op_d,op_e),ld(X1,unit))) = rd(op_f,mult(X1,op_e)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_40]),c_0_15]),c_0_192]),c_0_466]) ).

cnf(c_0_481,plain,
    ld(X1,mult(X2,mult(X1,X3))) = mult(ld(X1,mult(X2,X1)),X3),
    inference(spm,[status(thm)],[c_0_207,c_0_16]) ).

cnf(c_0_482,plain,
    rd(X1,mult(X1,rd(X2,op_f))) = rd(mult(X1,op_f),mult(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_467]),c_0_100]) ).

cnf(c_0_483,plain,
    mult(X1,mult(ld(X1,mult(X2,X1)),X3)) = mult(X2,mult(X1,X3)),
    inference(spm,[status(thm)],[c_0_73,c_0_18]) ).

cnf(c_0_484,plain,
    mult(X1,ld(op_f,unit)) = rd(X1,op_f),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_468]),c_0_469]),c_0_89]),c_0_60]),c_0_457]) ).

cnf(c_0_485,plain,
    ld(op_e,ld(op_e,X1)) = mult(ld(op_f,unit),X1),
    inference(spm,[status(thm)],[c_0_16,c_0_470]) ).

cnf(c_0_486,plain,
    mult(ld(mult(op_e,X1),unit),op_f) = ld(X1,op_e),
    inference(spm,[status(thm)],[c_0_25,c_0_471]) ).

cnf(c_0_487,plain,
    ld(ld(X1,op_e),op_f) = ld(op_e,mult(mult(X1,op_e),op_e)),
    inference(spm,[status(thm)],[c_0_85,c_0_197]) ).

cnf(c_0_488,plain,
    ld(op_e,mult(rd(op_f,X1),op_e)) = mult(op_e,ld(X1,op_e)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_89]) ).

cnf(c_0_489,plain,
    ld(mult(X1,rd(X2,op_e)),X2) = mult(op_e,ld(mult(X1,X2),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_473]),c_0_474]),c_0_475]),c_0_476]),c_0_451]),c_0_42]),c_0_104]),c_0_36]) ).

cnf(c_0_490,plain,
    mult(X1,ld(op_e,unit)) = rd(X1,op_e),
    inference(spm,[status(thm)],[c_0_150,c_0_445]) ).

cnf(c_0_491,plain,
    mult(ld(mult(op_d,X1),unit),op_e) = ld(X1,op_d),
    inference(spm,[status(thm)],[c_0_25,c_0_477]) ).

cnf(c_0_492,plain,
    mult(ld(X1,unit),op_e) = ld(X1,op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_396]),c_0_479]),c_0_67]),c_0_47]) ).

cnf(c_0_493,plain,
    mult(mult(op_d,op_e),rd(op_d,X1)) = rd(op_f,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_421]),c_0_481]),c_0_200]),c_0_126]),c_0_197]),c_0_256]),c_0_25]) ).

cnf(c_0_494,plain,
    mult(op_e,mult(op_d,ld(op_e,X1))) = mult(op_d,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_179]),c_0_18]) ).

cnf(c_0_495,plain,
    ld(mult(op_e,X1),mult(op_f,X1)) = ld(X1,mult(op_e,X1)),
    inference(spm,[status(thm)],[c_0_35,c_0_197]) ).

cnf(c_0_496,plain,
    ld(mult(op_f,X1),mult(op_e,X1)) = ld(mult(op_e,X1),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_306]),c_0_45]) ).

cnf(c_0_497,plain,
    rd(ld(X1,unit),op_e) = ld(mult(op_f,X1),op_e),
    inference(spm,[status(thm)],[c_0_18,c_0_354]) ).

cnf(c_0_498,plain,
    rd(X1,mult(rd(X2,mult(X1,op_f)),X1)) = rd(mult(X1,op_f),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_123]),c_0_15]) ).

cnf(c_0_499,plain,
    mult(rd(mult(X1,X2),mult(X2,op_f)),X2) = mult(X1,rd(X2,op_f)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_123]),c_0_484]) ).

cnf(c_0_500,plain,
    ld(X1,ld(X2,mult(X1,op_f))) = mult(ld(X1,ld(X2,X1)),op_f),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_413]),c_0_24]),c_0_413]) ).

cnf(c_0_501,plain,
    mult(ld(op_f,unit),mult(op_e,X1)) = ld(op_e,X1),
    inference(spm,[status(thm)],[c_0_485,c_0_16]) ).

cnf(c_0_502,plain,
    ld(op_f,mult(mult(op_e,X1),op_f)) = ld(op_e,mult(mult(X1,op_e),op_e)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_486]),c_0_487]) ).

cnf(c_0_503,plain,
    mult(ld(mult(X1,X2),unit),mult(X1,X1)) = ld(X2,X1),
    inference(spm,[status(thm)],[c_0_25,c_0_102]) ).

cnf(c_0_504,plain,
    mult(ld(op_e,unit),rd(op_f,X1)) = mult(op_d,rd(op_d,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_488]),c_0_60]),c_0_421]) ).

cnf(c_0_505,plain,
    rd(X1,mult(X2,ld(X3,ld(X2,X1)))) = rd(mult(X2,X3),X2),
    inference(spm,[status(thm)],[c_0_155,c_0_15]) ).

cnf(c_0_506,plain,
    rd(X1,mult(op_e,ld(mult(X2,X1),X1))) = mult(X2,rd(X1,op_e)),
    inference(spm,[status(thm)],[c_0_39,c_0_489]) ).

cnf(c_0_507,plain,
    mult(rd(X1,X2),rd(X2,op_e)) = mult(rd(X1,mult(X2,op_e)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_490]),c_0_490]),c_0_123]) ).

cnf(c_0_508,plain,
    rd(op_f,ld(X1,op_e)) = mult(op_e,X1),
    inference(spm,[status(thm)],[c_0_382,c_0_39]) ).

cnf(c_0_509,plain,
    ld(mult(op_d,X1),op_e) = ld(X1,op_d),
    inference(rw,[status(thm)],[c_0_491,c_0_492]) ).

cnf(c_0_510,plain,
    rd(op_f,ld(X1,op_d)) = mult(mult(op_d,op_e),X1),
    inference(spm,[status(thm)],[c_0_493,c_0_39]) ).

cnf(c_0_511,plain,
    mult(op_e,mult(op_d,X1)) = mult(op_d,mult(op_e,X1)),
    inference(spm,[status(thm)],[c_0_494,c_0_16]) ).

cnf(c_0_512,plain,
    ld(X1,mult(op_f,ld(op_e,X1))) = ld(ld(op_e,X1),X1),
    inference(spm,[status(thm)],[c_0_495,c_0_15]) ).

cnf(c_0_513,plain,
    ld(mult(op_f,ld(op_e,X1)),X1) = ld(X1,ld(op_e,X1)),
    inference(spm,[status(thm)],[c_0_496,c_0_15]) ).

cnf(c_0_514,plain,
    ld(X1,ld(op_e,X1)) = mult(ld(mult(op_f,X1),op_e),X1),
    inference(spm,[status(thm)],[c_0_137,c_0_497]) ).

cnf(c_0_515,plain,
    rd(X1,mult(X2,rd(X1,op_f))) = rd(mult(X1,op_f),mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_498,c_0_499]) ).

cnf(c_0_516,plain,
    mult(X1,mult(ld(X1,ld(X2,X1)),op_f)) = ld(X2,mult(X1,op_f)),
    inference(spm,[status(thm)],[c_0_15,c_0_500]) ).

cnf(c_0_517,plain,
    ld(op_e,mult(mult(X1,op_e),op_e)) = mult(ld(op_e,X1),op_f),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_501]),c_0_502]) ).

cnf(c_0_518,plain,
    rd(mult(X1,X2),mult(X2,mult(X1,X2))) = rd(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_443,c_0_18]) ).

cnf(c_0_519,plain,
    mult(rd(X1,op_e),ld(op_f,unit)) = rd(X1,mult(op_e,op_f)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_115]),c_0_126]),c_0_49]),c_0_47]),c_0_101]),c_0_197]),c_0_344]) ).

cnf(c_0_520,plain,
    rd(mult(rd(X1,X2),X1),X2) = rd(X1,mult(rd(X2,X1),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_58]),c_0_27]),c_0_67]) ).

cnf(c_0_521,plain,
    rd(op_f,ld(op_e,X1)) = mult(mult(op_f,ld(X1,unit)),op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_197]),c_0_171]),c_0_197]) ).

cnf(c_0_522,plain,
    rd(X1,mult(op_e,ld(X2,X1))) = mult(rd(X2,mult(X1,op_e)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_25]),c_0_507]) ).

cnf(c_0_523,plain,
    mult(mult(op_d,op_e),X1) = mult(op_d,mult(op_e,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_509]),c_0_510]),c_0_511]) ).

cnf(c_0_524,plain,
    mult(ld(X1,ld(X2,unit)),X2) = mult(X2,ld(mult(X1,X2),unit)),
    inference(spm,[status(thm)],[c_0_105,c_0_87]) ).

cnf(c_0_525,plain,
    mult(X1,mult(ld(mult(op_f,X1),op_e),X1)) = ld(op_e,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_512]),c_0_39]),c_0_513]),c_0_514]) ).

cnf(c_0_526,plain,
    rd(ld(X1,X2),rd(X2,op_f)) = rd(ld(X1,mult(X2,op_f)),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_515]),c_0_136]) ).

cnf(c_0_527,plain,
    ld(rd(X1,X2),mult(X1,op_f)) = mult(X1,mult(ld(X1,X2),op_f)),
    inference(spm,[status(thm)],[c_0_516,c_0_32]) ).

cnf(c_0_528,plain,
    ld(op_f,mult(mult(op_e,X1),op_f)) = mult(ld(op_e,X1),op_f),
    inference(rw,[status(thm)],[c_0_502,c_0_517]) ).

cnf(c_0_529,plain,
    mult(ld(mult(op_e,X1),op_e),op_f) = ld(X1,op_f),
    inference(spm,[status(thm)],[c_0_43,c_0_384]) ).

cnf(c_0_530,plain,
    ld(ld(X1,op_e),unit) = ld(op_e,X1),
    inference(spm,[status(thm)],[c_0_106,c_0_396]) ).

cnf(c_0_531,plain,
    rd(mult(X1,op_f),mult(X1,op_e)) = rd(mult(X1,op_e),X1),
    inference(spm,[status(thm)],[c_0_90,c_0_197]) ).

cnf(c_0_532,plain,
    rd(mult(rd(X1,X2),X1),ld(ld(X1,X2),unit)) = X1,
    inference(spm,[status(thm)],[c_0_18,c_0_27]) ).

cnf(c_0_533,plain,
    mult(rd(X1,mult(X2,X1)),mult(X1,X2)) = ld(X2,mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_43,c_0_518]) ).

cnf(c_0_534,plain,
    mult(op_e,rd(ld(op_f,X1),op_f)) = ld(op_e,rd(X1,op_f)),
    inference(spm,[status(thm)],[c_0_470,c_0_112]) ).

cnf(c_0_535,plain,
    ld(op_f,mult(mult(op_e,X1),op_e)) = ld(op_e,mult(X1,op_e)),
    inference(spm,[status(thm)],[c_0_35,c_0_197]) ).

cnf(c_0_536,plain,
    rd(mult(X1,op_e),mult(op_e,op_f)) = mult(X1,ld(op_f,unit)),
    inference(spm,[status(thm)],[c_0_519,c_0_18]) ).

cnf(c_0_537,plain,
    mult(rd(mult(op_e,X1),op_f),op_e) = mult(op_e,rd(X1,op_e)),
    inference(spm,[status(thm)],[c_0_111,c_0_197]) ).

cnf(c_0_538,plain,
    rd(X1,ld(mult(op_f,X1),op_e)) = mult(mult(X1,op_e),X1),
    inference(spm,[status(thm)],[c_0_388,c_0_497]) ).

cnf(c_0_539,plain,
    rd(ld(X1,ld(X1,X2)),X2) = rd(ld(X1,X2),mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_159]),c_0_371]),c_0_39]) ).

cnf(c_0_540,plain,
    rd(ld(X1,X2),mult(X1,X2)) = rd(X2,mult(X1,mult(X1,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_43]),c_0_18]) ).

cnf(c_0_541,plain,
    mult(op_e,ld(op_f,unit)) = ld(op_e,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_277]),c_0_18]),c_0_306]) ).

cnf(c_0_542,plain,
    rd(op_f,ld(X1,ld(op_e,unit))) = mult(mult(op_e,op_f),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_84]),c_0_65]),c_0_210]),c_0_277]),c_0_16]) ).

cnf(c_0_543,plain,
    ld(mult(X1,mult(op_e,ld(X2,X1))),X1) = rd(ld(X1,X2),op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_522]),c_0_136]) ).

cnf(c_0_544,plain,
    ld(ld(op_e,unit),X1) = mult(op_e,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_466,c_0_523]),c_0_16]) ).

cnf(c_0_545,plain,
    mult(ld(op_e,unit),X1) = ld(op_e,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_445]),c_0_50]),c_0_48]),c_0_514]),c_0_525]) ).

cnf(c_0_546,plain,
    rd(mult(X1,mult(ld(X1,X2),op_f)),X1) = rd(X2,rd(X1,op_f)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_32]),c_0_527]) ).

cnf(c_0_547,plain,
    mult(ld(X1,op_e),op_e) = ld(X1,op_f),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_382]),c_0_28]),c_0_340]),c_0_118]),c_0_529]) ).

cnf(c_0_548,plain,
    ld(mult(ld(X1,op_e),X2),X2) = ld(mult(op_e,X2),mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_530]),c_0_104]),c_0_36]) ).

cnf(c_0_549,plain,
    rd(mult(rd(X1,op_e),op_f),X1) = rd(X1,rd(X1,op_e)),
    inference(spm,[status(thm)],[c_0_531,c_0_25]) ).

cnf(c_0_550,plain,
    mult(rd(X1,op_e),op_f) = mult(X1,op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_445]),c_0_73]),c_0_16]),c_0_197]),c_0_29]),c_0_370]) ).

cnf(c_0_551,plain,
    rd(mult(X1,op_e),X1) = mult(X1,rd(op_e,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_432]),c_0_312]),c_0_412]),c_0_32]),c_0_174]) ).

cnf(c_0_552,plain,
    mult(mult(X1,ld(op_f,unit)),op_e) = rd(X1,op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_123]),c_0_536]),c_0_474]),c_0_537]),c_0_16]) ).

cnf(c_0_553,plain,
    mult(ld(ld(X1,X2),unit),ld(X1,unit)) = ld(mult(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_27]),c_0_18]),c_0_118]) ).

cnf(c_0_554,plain,
    ld(mult(X1,rd(X1,X2)),X1) = ld(mult(X2,rd(X1,X2)),X2),
    inference(spm,[status(thm)],[c_0_243,c_0_25]) ).

cnf(c_0_555,plain,
    ld(mult(ld(X1,unit),X2),ld(X1,unit)) = rd(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_57]),c_0_118]),c_0_15]),c_0_159]) ).

cnf(c_0_556,plain,
    ld(mult(mult(X1,op_e),X1),X1) = ld(mult(op_f,X1),op_e),
    inference(spm,[status(thm)],[c_0_32,c_0_538]) ).

cnf(c_0_557,plain,
    rd(X1,mult(op_e,mult(op_e,X1))) = ld(op_f,unit),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_470]),c_0_539]),c_0_540]),c_0_541]),c_0_163]),c_0_197]) ).

cnf(c_0_558,plain,
    ld(ld(op_f,unit),X1) = ld(op_e,mult(mult(op_e,op_f),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_363]),c_0_542]),c_0_49]),c_0_47]),c_0_101]),c_0_197]) ).

cnf(c_0_559,plain,
    rd(ld(mult(X1,X2),X1),op_e) = ld(mult(X1,mult(op_e,X2)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_32]),c_0_118]) ).

cnf(c_0_560,plain,
    mult(X1,ld(ld(X2,X1),ld(X1,X3))) = ld(ld(rd(X2,X1),unit),X3),
    inference(spm,[status(thm)],[c_0_185,c_0_60]) ).

cnf(c_0_561,plain,
    mult(X1,ld(ld(op_e,X1),X2)) = mult(mult(op_e,X1),ld(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_544]),c_0_210]),c_0_545]) ).

cnf(c_0_562,plain,
    mult(rd(X1,rd(X2,op_f)),X2) = mult(X2,mult(ld(X2,X1),op_f)),
    inference(spm,[status(thm)],[c_0_25,c_0_546]) ).

cnf(c_0_563,plain,
    ld(ld(X1,op_f),unit) = ld(op_f,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_547]),c_0_197]) ).

cnf(c_0_564,plain,
    ld(mult(X1,ld(X2,mult(op_e,X1))),X1) = ld(mult(op_e,X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_249]),c_0_25]) ).

cnf(c_0_565,plain,
    mult(rd(X1,X2),rd(X2,mult(X2,X3))) = rd(mult(X1,ld(X3,unit)),X2),
    inference(spm,[status(thm)],[c_0_310,c_0_117]) ).

cnf(c_0_566,plain,
    rd(X1,rd(X1,op_e)) = mult(X1,rd(op_e,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_549,c_0_550]),c_0_551]) ).

cnf(c_0_567,plain,
    ld(mult(rd(X1,mult(X2,op_e)),X2),X2) = mult(op_e,ld(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_507]),c_0_25]) ).

cnf(c_0_568,plain,
    rd(rd(X1,op_e),op_e) = mult(X1,ld(op_f,unit)),
    inference(spm,[status(thm)],[c_0_18,c_0_552]) ).

cnf(c_0_569,plain,
    rd(op_f,mult(X1,op_f)) = ld(X1,unit),
    inference(rw,[status(thm)],[c_0_384,c_0_396]) ).

cnf(c_0_570,plain,
    mult(ld(ld(ld(X1,unit),X2),unit),X1) = rd(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_554]),c_0_47]),c_0_36]),c_0_47]),c_0_15]),c_0_41]),c_0_47]),c_0_36]),c_0_47]),c_0_36]),c_0_555]) ).

cnf(c_0_571,plain,
    rd(op_f,ld(X1,unit)) = mult(op_f,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_281]),c_0_556]),c_0_39]) ).

cnf(c_0_572,plain,
    ld(op_e,mult(mult(op_e,op_f),X1)) = mult(op_e,mult(op_e,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_557]),c_0_558]) ).

cnf(c_0_573,plain,
    rd(X1,mult(mult(op_e,X1),ld(X1,X2))) = rd(rd(X1,X2),op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_112]),c_0_81]),c_0_15]),c_0_555]),c_0_210]) ).

cnf(c_0_574,plain,
    mult(mult(op_e,X1),ld(X1,ld(X1,X2))) = ld(rd(X1,op_e),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_561]),c_0_427]) ).

cnf(c_0_575,plain,
    mult(X1,mult(ld(X1,rd(X2,X1)),op_f)) = rd(X2,ld(op_f,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_562]),c_0_563]) ).

cnf(c_0_576,plain,
    ld(X1,mult(mult(X2,X2),ld(X2,X1))) = ld(ld(X2,X1),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_408]),c_0_15]) ).

cnf(c_0_577,plain,
    ld(ld(X1,op_e),op_e) = mult(ld(op_e,X1),op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_547]),c_0_394]) ).

cnf(c_0_578,plain,
    mult(rd(X1,op_e),X1) = mult(X1,ld(op_e,X1)),
    inference(spm,[status(thm)],[c_0_27,c_0_530]) ).

cnf(c_0_579,plain,
    rd(X1,ld(mult(op_e,X1),X2)) = mult(X1,ld(X2,mult(op_e,X1))),
    inference(spm,[status(thm)],[c_0_39,c_0_564]) ).

cnf(c_0_580,plain,
    mult(X1,mult(ld(X1,X2),rd(op_e,X1))) = rd(mult(X2,op_e),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_490]),c_0_29]),c_0_566]),c_0_73]) ).

cnf(c_0_581,plain,
    rd(X1,X1) = unit,
    inference(spm,[status(thm)],[c_0_18,c_0_36]) ).

cnf(c_0_582,plain,
    ld(mult(X1,rd(X2,op_e)),X1) = mult(op_e,ld(mult(X1,X2),X1)),
    inference(spm,[status(thm)],[c_0_567,c_0_111]) ).

cnf(c_0_583,plain,
    rd(rd(X1,op_e),op_e) = rd(X1,op_f),
    inference(rw,[status(thm)],[c_0_568,c_0_484]) ).

cnf(c_0_584,plain,
    mult(op_e,mult(op_e,X1)) = mult(op_f,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_570]),c_0_384]),c_0_396]),c_0_571]),c_0_558]),c_0_572]),c_0_29]) ).

cnf(c_0_585,plain,
    rd(X1,ld(rd(X1,op_e),X2)) = rd(mult(X1,ld(X2,X1)),op_e),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_574]),c_0_89]) ).

cnf(c_0_586,plain,
    rd(rd(X1,ld(op_f,X2)),X2) = rd(rd(X1,X2),rd(X2,op_f)),
    inference(spm,[status(thm)],[c_0_546,c_0_575]) ).

cnf(c_0_587,plain,
    ld(op_e,mult(X1,op_e)) = mult(ld(op_e,X1),op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_408]),c_0_59]),c_0_576]),c_0_577]) ).

cnf(c_0_588,plain,
    ld(X1,ld(rd(X1,op_e),mult(X1,X2))) = ld(ld(op_e,X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_578]),c_0_16]) ).

cnf(c_0_589,plain,
    rd(op_e,rd(op_e,X1)) = mult(op_e,rd(X1,op_e)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_37]),c_0_451]) ).

cnf(c_0_590,plain,
    rd(ld(op_e,X1),ld(X1,X2)) = mult(ld(op_e,X1),ld(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_581]),c_0_24]),c_0_18]),c_0_581]),c_0_24]),c_0_18]) ).

cnf(c_0_591,plain,
    mult(ld(op_f,unit),op_e) = ld(op_e,unit),
    inference(spm,[status(thm)],[c_0_231,c_0_197]) ).

cnf(c_0_592,plain,
    ld(mult(X1,rd(X2,op_f)),X1) = mult(op_f,ld(mult(X1,X2),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_583]),c_0_582]),c_0_584]) ).

cnf(c_0_593,plain,
    rd(mult(X1,op_e),ld(X1,X2)) = mult(X1,ld(rd(X2,op_e),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_586]),c_0_306]),c_0_464]),c_0_587]),c_0_16]),c_0_215]),c_0_479]),c_0_545]),c_0_15]),c_0_306]),c_0_464]),c_0_587]),c_0_16]),c_0_306]),c_0_464]),c_0_587]),c_0_16]),c_0_286]),c_0_365]) ).

cnf(c_0_594,plain,
    ld(rd(X1,op_e),mult(X1,X2)) = mult(mult(op_e,X1),ld(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_588]),c_0_561]) ).

cnf(c_0_595,plain,
    rd(mult(op_e,X1),op_e) = mult(op_e,rd(X1,op_e)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_432]),c_0_24]),c_0_589]) ).

cnf(c_0_596,plain,
    mult(ld(op_e,X1),ld(mult(X1,X2),X1)) = rd(ld(op_e,X1),X2),
    inference(spm,[status(thm)],[c_0_590,c_0_16]) ).

cnf(c_0_597,plain,
    mult(rd(X1,mult(op_e,op_f)),op_e) = mult(X1,ld(op_f,unit)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_519]),c_0_591]),c_0_101]),c_0_197]) ).

cnf(c_0_598,plain,
    mult(mult(op_f,rd(X1,mult(X2,X1))),X1) = ld(rd(X2,op_f),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_592]),c_0_555]),c_0_50]),c_0_413]),c_0_24]),c_0_15]) ).

cnf(c_0_599,plain,
    mult(rd(X1,X2),rd(X2,op_f)) = mult(rd(X1,mult(X2,op_f)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_484]),c_0_484]),c_0_123]) ).

cnf(c_0_600,plain,
    rd(rd(X1,X2),op_e) = mult(rd(X1,mult(op_f,X2)),op_e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_594]),c_0_25]),c_0_573]),c_0_289]),c_0_595]),c_0_559]),c_0_73]),c_0_596]),c_0_123]),c_0_584]) ).

cnf(c_0_601,plain,
    mult(rd(X1,mult(op_e,op_f)),op_e) = rd(X1,op_f),
    inference(rw,[status(thm)],[c_0_597,c_0_484]) ).

cnf(c_0_602,plain,
    mult(rd(X1,op_f),X1) = mult(X1,ld(op_f,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_457]),c_0_36]) ).

cnf(c_0_603,plain,
    ld(rd(rd(X1,X2),op_f),X1) = mult(mult(op_f,X1),ld(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_33]),c_0_210]) ).

cnf(c_0_604,plain,
    rd(rd(X1,X2),op_f) = rd(X1,mult(op_f,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_600]),c_0_215]),c_0_490]),c_0_18]),c_0_601]) ).

cnf(c_0_605,negated_conjecture,
    mult(op_f,mult(a,b)) != mult(mult(op_f,a),b),
    inference(fof_simplification,[status(thm)],[goals]) ).

cnf(c_0_606,plain,
    mult(rd(X1,op_f),mult(X1,X2)) = mult(X1,mult(ld(op_f,X1),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_602]),c_0_16]) ).

cnf(c_0_607,plain,
    mult(mult(op_f,X1),ld(X1,X2)) = mult(op_f,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_603,c_0_604]),c_0_32]) ).

cnf(c_0_608,negated_conjecture,
    mult(op_f,mult(a,b)) != mult(mult(op_f,a),b),
    c_0_605 ).

cnf(c_0_609,plain,
    mult(mult(op_f,X1),X2) = mult(op_f,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_607]),c_0_73]),c_0_16]),c_0_16]),c_0_15]) ).

cnf(c_0_610,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_608,c_0_609])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP693-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35  % Computer : n010.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sun Sep 20 20:33:54 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 220.31/44.75  % Version: 3.5.1
% 220.31/44.75  % Preprocessing class: FSSSSMSSSSSNFFN.
% 220.31/44.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 220.31/44.75  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 220.31/44.75  % Starting new_bool_3 with 300s (1) cores
% 220.31/44.75  % Starting new_bool_1 with 300s (1) cores
% 220.31/44.75  % Starting sh5l with 300s (1) cores
% 220.31/44.75  % new_bool_3 with pid 3474323 completed with status 9
% 220.31/44.75  % new_bool_1 with pid 3474328 completed with status 9
% 220.31/44.75  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3474322 completed with status 0
% 220.31/44.75  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 220.31/44.75  % Preprocessing class: FSSSSMSSSSSNFFN.
% 220.31/44.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 220.31/44.75  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 220.31/44.75  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 220.31/44.75  % No SInE strategy applied
% 220.31/44.75  % Search class: FUUPM-FFSS21-MFFFFFNN
% 220.31/44.75  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 220.31/44.75  % Starting SubtermCWHack with 136s (1) cores
% 220.31/44.75  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 220.31/44.75  % Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 136s (1) cores
% 220.31/44.75  % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 220.31/44.75  % Starting G-E--_209_C18_F1_AE_CS_SP_S0Y with 136s (1) cores
% 220.31/44.75  % G-E--_209_C18_F1_AE_CS_SP_S0Y with pid 3474331 completed with status 0
% 220.31/44.75  % Result found by G-E--_209_C18_F1_AE_CS_SP_S0Y
% 220.31/44.75  % Preprocessing class: FSSSSMSSSSSNFFN.
% 220.31/44.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 220.31/44.75  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 220.31/44.75  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 220.31/44.75  % No SInE strategy applied
% 220.31/44.75  % Search class: FUUPM-FFSS21-MFFFFFNN
% 220.31/44.75  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 220.31/44.75  % Starting SubtermCWHack with 136s (1) cores
% 220.31/44.75  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 220.31/44.75  % Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 136s (1) cores
% 220.31/44.75  % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 136s (1) cores
% 220.31/44.75  % Starting G-E--_209_C18_F1_AE_CS_SP_S0Y with 136s (1) cores
% 220.31/44.75  % Preprocessing time       : 0.001 s
% 220.31/44.75  
% 220.31/44.75  % Proof found!
% 220.31/44.75  % SZS status Unsatisfiable
% 220.31/44.75  % SZS output start CNFRefutation
% See solution above
% 220.31/44.75  % Parsed axioms                        : 14
% 220.31/44.75  % Removed by relevancy pruning/SinE    : 0
% 220.31/44.75  % Initial clauses                      : 14
% 220.31/44.75  % Removed in clause preprocessing      : 0
% 220.31/44.75  % Initial clauses in saturation        : 14
% 220.31/44.75  % Processed clauses                    : 27919
% 220.31/44.75  % ...of these trivial                  : 22087
% 220.31/44.75  % ...subsumed                          : 271
% 220.31/44.75  % ...remaining for further processing  : 5561
% 220.31/44.75  % Other redundant clauses eliminated   : 0
% 220.31/44.75  % Clauses deleted for lack of memory   : 0
% 220.31/44.75  % Backward-subsumed                    : 2
% 220.31/44.75  % Backward-rewritten                   : 2485
% 220.31/44.75  % Generated clauses                    : 2644062
% 220.31/44.75  % ...of the previous two non-redundant : 2048538
% 220.31/44.75  % ...aggressively subsumed             : 0
% 220.31/44.75  % Contextual simplify-reflections      : 0
% 220.31/44.75  % Paramodulations                      : 2644062
% 220.31/44.75  % Factorizations                       : 0
% 220.31/44.75  % NegExts                              : 0
% 220.31/44.75  % Equation resolutions                 : 0
% 220.31/44.75  % Disequality decompositions           : 0
% 220.31/44.75  % Total rewrite steps                  : 9796193
% 220.31/44.75  % ...of those cached                   : 9527734
% 220.31/44.75  % Propositional unsat checks           : 0
% 220.31/44.75  %    Propositional check models        : 0
% 220.31/44.75  %    Propositional check unsatisfiable : 0
% 220.31/44.75  %    Propositional clauses             : 0
% 220.31/44.75  %    Propositional clauses after purity: 0
% 220.31/44.75  %    Propositional unsat core size     : 0
% 220.31/44.75  %    Propositional preprocessing time  : 0.000
% 220.31/44.75  %    Propositional encoding time       : 0.000
% 220.31/44.75  %    Propositional solver time         : 0.000
% 220.31/44.75  %    Success case prop preproc time    : 0.000
% 220.31/44.75  %    Success case prop encoding time   : 0.000
% 220.31/44.75  %    Success case prop solver time     : 0.000
% 220.31/44.75  % Current number of processed clauses  : 3074
% 220.31/44.75  %    Positive orientable unit clauses  : 3059
% 220.31/44.75  %    Positive unorientable unit clauses: 15
% 220.31/44.75  %    Negative unit clauses             : 0
% 220.31/44.75  %    Non-unit-clauses                  : 0
% 220.31/44.75  % Current number of unprocessed clauses: 2016082
% 220.31/44.75  % ...number of literals in the above   : 2016082
% 220.31/44.75  % Current number of archived formulas  : 0
% 220.31/44.75  % Current number of archived clauses   : 2487
% 220.31/44.75  % Clause-clause subsumption calls (NU) : 0
% 220.31/44.75  % Rec. Clause-clause subsumption calls : 0
% 220.31/44.75  % Non-unit clause-clause subsumptions  : 0
% 220.31/44.75  % Unit Clause-clause subsumption calls : 420
% 220.31/44.75  % Rewrite failures with RHS unbound    : 0
% 220.31/44.75  % BW rewrite match attempts            : 27147
% 220.31/44.75  % BW rewrite match successes           : 1935
% 220.31/44.75  % Condensation attempts                : 0
% 220.31/44.75  % Condensation successes               : 0
% 220.31/44.75  % Termbank termtop insertions          : 55982124
% 220.31/44.75  % Search garbage collected termcells   : 2
% 220.31/44.75  
% 220.31/44.75  % -------------------------------------------------
% 220.31/44.75  % User time                : 42.435 s
% 220.31/44.75  % System time              : 1.456 s
% 220.31/44.75  % Total time               : 43.891 s
% 220.31/44.75  % Maximum resident set size: 3328 pages
% 220.31/44.75  
% 220.31/44.75  % -------------------------------------------------
% 220.31/44.75  % User time                : 214.168 s
% 220.31/44.75  % System time              : 6.042 s
% 220.31/44.75  % Total time               : 220.209 s
% 220.31/44.75  % Maximum resident set size: 4608 pages
% 220.31/44.75  % E exiting
%------------------------------------------------------------------------------