CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GRP690-1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:26:54 PM UTC 2026

% Result   : Unsatisfiable 264.57s 71.41s
% Output   : CNFRefutation 264.76s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(c08,axiom,
    mult(i(X1),mult(X1,X2)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).

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

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

cnf(c09,axiom,
    i(mult(X1,X2)) = mult(i(X1),i(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).

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

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

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

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

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

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

cnf(goals,negated_conjecture,
    mult(op_c,op_d) != mult(op_d,op_c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(c_0_11,axiom,
    mult(i(X1),mult(X1,X2)) = X2,
    c08 ).

cnf(c_0_12,axiom,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = unit,
    c11 ).

cnf(c_0_13,axiom,
    mult(X1,unit) = X1,
    c05 ).

cnf(c_0_14,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = i(op_d),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_15,axiom,
    i(mult(X1,X2)) = mult(i(X1),i(X2)),
    c09 ).

cnf(c_0_16,axiom,
    rd(mult(X1,X2),X2) = X1,
    c04 ).

cnf(c_0_17,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(mult(op_d,op_d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_15]) ).

cnf(c_0_18,plain,
    rd(X1,mult(X2,X1)) = i(X2),
    inference(spm,[status(thm)],[c_0_16,c_0_11]) ).

cnf(c_0_19,axiom,
    mult(rd(X1,X2),X2) = X1,
    c03 ).

cnf(c_0_20,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(mult(op_d,mult(op_d,op_d))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_17]),c_0_15]) ).

cnf(c_0_21,axiom,
    mult(X1,ld(X1,X2)) = X2,
    c01 ).

cnf(c_0_22,plain,
    mult(i(X1),X1) = unit,
    inference(spm,[status(thm)],[c_0_11,c_0_13]) ).

cnf(c_0_23,plain,
    rd(i(mult(X1,X2)),i(X2)) = i(X1),
    inference(spm,[status(thm)],[c_0_16,c_0_15]) ).

cnf(c_0_24,plain,
    i(rd(X1,X2)) = rd(X2,X1),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,axiom,
    mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
    c07 ).

cnf(c_0_26,plain,
    i(mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_20]),c_0_15]) ).

cnf(c_0_27,plain,
    ld(X1,X2) = mult(i(X1),X2),
    inference(spm,[status(thm)],[c_0_11,c_0_21]) ).

cnf(c_0_28,plain,
    i(i(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_22]),c_0_13]) ).

cnf(c_0_29,plain,
    rd(i(X1),i(X2)) = rd(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_19]),c_0_24]) ).

cnf(c_0_30,plain,
    rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_16,c_0_25]) ).

cnf(c_0_31,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = unit,
    inference(spm,[status(thm)],[c_0_22,c_0_26]) ).

cnf(c_0_32,plain,
    mult(X1,mult(i(X1),X2)) = X2,
    inference(rw,[status(thm)],[c_0_21,c_0_27]) ).

cnf(c_0_33,plain,
    mult(X1,i(X1)) = unit,
    inference(spm,[status(thm)],[c_0_22,c_0_28]) ).

cnf(c_0_34,plain,
    rd(X1,i(X2)) = rd(X2,i(X1)),
    inference(spm,[status(thm)],[c_0_29,c_0_28]) ).

cnf(c_0_35,plain,
    mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),op_d)) = rd(op_d,mult(op_d,mult(op_d,op_d))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_13]) ).

cnf(c_0_36,plain,
    mult(mult(X1,mult(X2,mult(X3,mult(X2,X1)))),X4) = mult(X1,mult(X2,mult(X3,mult(X2,mult(X1,X4))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_25]),c_0_25]) ).

cnf(c_0_37,plain,
    mult(X1,i(mult(X1,X2))) = i(X2),
    inference(spm,[status(thm)],[c_0_32,c_0_15]) ).

cnf(c_0_38,plain,
    rd(X1,i(mult(X1,X2))) = mult(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_33]),c_0_13]),c_0_34]) ).

cnf(c_0_39,plain,
    i(mult(X1,i(X2))) = mult(i(X1),X2),
    inference(spm,[status(thm)],[c_0_15,c_0_28]) ).

cnf(c_0_40,plain,
    rd(op_d,mult(op_d,mult(op_d,op_d))) = i(mult(op_d,op_d)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_20]),c_0_37]) ).

cnf(c_0_41,axiom,
    mult(unit,X1) = X1,
    c06 ).

cnf(c_0_42,plain,
    rd(X1,mult(i(X1),X2)) = mult(X1,mult(i(X2),X1)),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,plain,
    mult(i(mult(op_d,op_d)),mult(op_d,mult(op_d,op_d))) = op_d,
    inference(spm,[status(thm)],[c_0_19,c_0_40]) ).

cnf(c_0_44,plain,
    mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_41]),c_0_41]) ).

cnf(c_0_45,plain,
    mult(op_d,mult(op_d,mult(i(mult(op_d,mult(op_d,op_d))),mult(op_d,op_d)))) = op_d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_16]),c_0_44]) ).

cnf(c_0_46,plain,
    mult(op_d,mult(i(mult(op_d,mult(op_d,op_d))),op_d)) = i(op_d),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_45]),c_0_30]) ).

cnf(c_0_47,plain,
    mult(i(mult(op_d,mult(op_d,op_d))),op_d) = i(mult(op_d,op_d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_46]),c_0_15]) ).

cnf(c_0_48,plain,
    mult(i(mult(X1,mult(X2,X1))),mult(X1,mult(X2,mult(X1,X3)))) = X3,
    inference(spm,[status(thm)],[c_0_11,c_0_25]) ).

cnf(c_0_49,plain,
    mult(i(mult(op_d,mult(op_d,op_d))),mult(op_d,op_d)) = i(op_d),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_47]),c_0_28]) ).

cnf(c_0_50,plain,
    mult(X1,mult(X1,mult(i(mult(X1,X1)),X2))) = X2,
    inference(spm,[status(thm)],[c_0_32,c_0_44]) ).

cnf(c_0_51,axiom,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = unit,
    c10 ).

cnf(c_0_52,plain,
    mult(op_d,mult(i(mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,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(spm,[status(thm)],[c_0_48,c_0_49]),c_0_44]),c_0_33]),c_0_13]),c_0_44]),c_0_44]),c_0_11]) ).

cnf(c_0_53,plain,
    mult(X1,mult(i(mult(X1,X1)),X2)) = mult(i(X1),X2),
    inference(spm,[status(thm)],[c_0_11,c_0_50]) ).

cnf(c_0_54,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = i(op_c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_51]),c_0_13]) ).

cnf(c_0_55,plain,
    mult(op_d,mult(i(mult(op_d,mult(op_d,op_d))),X1)) = mult(i(mult(op_d,op_d)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_32]) ).

cnf(c_0_56,plain,
    mult(i(mult(X1,X1)),mult(X1,mult(X1,X2))) = X2,
    inference(spm,[status(thm)],[c_0_11,c_0_44]) ).

cnf(c_0_57,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))) = i(mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_54]),c_0_15]) ).

cnf(c_0_58,plain,
    i(mult(i(X1),X2)) = mult(X1,i(X2)),
    inference(spm,[status(thm)],[c_0_15,c_0_28]) ).

cnf(c_0_59,plain,
    mult(i(op_d),mult(i(mult(op_d,op_d)),X1)) = mult(i(mult(op_d,mult(op_d,op_d))),X1),
    inference(spm,[status(thm)],[c_0_11,c_0_55]) ).

cnf(c_0_60,plain,
    mult(i(mult(X1,X1)),mult(X1,X2)) = mult(i(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_56]),c_0_37]),c_0_50]) ).

cnf(c_0_61,plain,
    mult(i(X1),mult(i(X1),X2)) = mult(i(mult(X1,X1)),X2),
    inference(spm,[status(thm)],[c_0_44,c_0_15]) ).

cnf(c_0_62,plain,
    mult(mult(X1,X2),mult(i(X1),mult(mult(X1,X2),X3))) = mult(mult(mult(X1,X2),X2),X3),
    inference(spm,[status(thm)],[c_0_25,c_0_11]) ).

cnf(c_0_63,plain,
    i(mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_57]),c_0_15]) ).

cnf(c_0_64,plain,
    mult(mult(i(X1),X2),mult(X1,i(X2))) = unit,
    inference(spm,[status(thm)],[c_0_33,c_0_58]) ).

cnf(c_0_65,plain,
    mult(i(mult(op_d,mult(op_d,op_d))),mult(op_d,X1)) = mult(i(mult(op_d,op_d)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_66,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X1) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_43]),c_0_28]),c_0_44]) ).

cnf(c_0_67,plain,
    i(mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_c,mult(op_c,op_c)),
    inference(spm,[status(thm)],[c_0_28,c_0_63]) ).

cnf(c_0_68,plain,
    mult(mult(i(mult(op_d,op_d)),X1),mult(op_d,mult(op_d,i(X1)))) = unit,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_25]),c_0_37]) ).

cnf(c_0_69,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,i(X1)))))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_26]),c_0_36]),c_0_66]) ).

cnf(c_0_70,plain,
    i(mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(spm,[status(thm)],[c_0_37,c_0_67]) ).

cnf(c_0_71,plain,
    rd(op_d,mult(op_d,i(X1))) = mult(op_d,mult(mult(i(mult(op_d,op_d)),X1),op_d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_68]),c_0_13]) ).

cnf(c_0_72,plain,
    i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,plain,
    rd(mult(X1,mult(X1,X2)),X2) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_16,c_0_44]) ).

cnf(c_0_74,plain,
    mult(rd(X1,X2),i(X1)) = i(X2),
    inference(spm,[status(thm)],[c_0_37,c_0_19]) ).

cnf(c_0_75,plain,
    rd(op_d,i(X1)) = mult(op_d,mult(mult(i(op_d),X1),op_d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_37]),c_0_60]) ).

cnf(c_0_76,plain,
    rd(X1,mult(X2,mult(X3,mult(X2,X1)))) = i(mult(X2,mult(X3,X2))),
    inference(spm,[status(thm)],[c_0_18,c_0_25]) ).

cnf(c_0_77,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
    inference(spm,[status(thm)],[c_0_37,c_0_72]) ).

cnf(c_0_78,plain,
    rd(X1,i(X1)) = mult(X1,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_33]),c_0_13]) ).

cnf(c_0_79,plain,
    mult(rd(mult(op_c,mult(op_c,mult(op_c,op_c))),X1),mult(op_c,mult(op_c,mult(op_c,op_c)))) = i(X1),
    inference(spm,[status(thm)],[c_0_74,c_0_70]) ).

cnf(c_0_80,plain,
    rd(X1,i(op_d)) = mult(op_d,mult(mult(i(op_d),X1),op_d)),
    inference(spm,[status(thm)],[c_0_34,c_0_75]) ).

cnf(c_0_81,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = i(mult(op_d,mult(op_d,op_d))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_82,plain,
    mult(op_d,mult(mult(i(op_d),mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = op_d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_25]),c_0_28]) ).

cnf(c_0_83,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,mult(op_d,op_d))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_81]),c_0_28]) ).

cnf(c_0_84,plain,
    i(mult(X1,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(i(X1),mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(spm,[status(thm)],[c_0_15,c_0_70]) ).

cnf(c_0_85,plain,
    rd(X1,mult(X2,mult(X2,X1))) = i(mult(X2,X2)),
    inference(spm,[status(thm)],[c_0_18,c_0_44]) ).

cnf(c_0_86,plain,
    mult(mult(i(op_d),mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = unit,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_82]),c_0_22]) ).

cnf(c_0_87,plain,
    rd(mult(X1,X2),mult(i(X1),X2)) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_73,c_0_32]) ).

cnf(c_0_88,plain,
    i(mult(mult(i(X1),X2),X3)) = mult(mult(X1,i(X2)),i(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_58]) ).

cnf(c_0_89,plain,
    mult(i(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),mult(op_d,mult(op_d,op_d))) = mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_83]),c_0_81]),c_0_28]),c_0_25]),c_0_37]),c_0_37]),c_0_84]),c_0_32]) ).

cnf(c_0_90,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,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_85,c_0_86]),c_0_13]),c_0_87]),c_0_88]),c_0_70]),c_0_58]),c_0_70]) ).

cnf(c_0_91,plain,
    rd(mult(op_d,mult(op_d,op_d)),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_89]),c_0_28]) ).

cnf(c_0_92,plain,
    mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_25,c_0_19]) ).

cnf(c_0_93,plain,
    mult(op_d,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_90]),c_0_91]) ).

cnf(c_0_94,plain,
    mult(mult(X1,X2),i(X1)) = mult(X1,rd(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_33]),c_0_13]) ).

cnf(c_0_95,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_d) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_93]),c_0_11]) ).

cnf(c_0_96,plain,
    mult(mult(i(op_d),mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,op_d)) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_86]),c_0_58]),c_0_70]),c_0_41]),c_0_87]) ).

cnf(c_0_97,plain,
    mult(mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,mult(op_c,op_c)))),op_d) = mult(op_d,op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_95]),c_0_11]),c_0_90]) ).

cnf(c_0_98,plain,
    mult(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = unit,
    inference(spm,[status(thm)],[c_0_22,c_0_70]) ).

cnf(c_0_99,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_96]),c_0_88]),c_0_70]),c_0_58]),c_0_70]),c_0_90]),c_0_44]),c_0_58]),c_0_70]) ).

cnf(c_0_100,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = op_d,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_97]),c_0_16]) ).

cnf(c_0_101,plain,
    rd(rd(X1,X2),i(X3)) = rd(X3,rd(X2,X1)),
    inference(spm,[status(thm)],[c_0_29,c_0_24]) ).

cnf(c_0_102,plain,
    mult(rd(X1,X2),mult(X2,X3)) = mult(i(X2),mult(mult(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_11,c_0_92]) ).

cnf(c_0_103,plain,
    mult(rd(X1,X2),rd(X2,X1)) = unit,
    inference(spm,[status(thm)],[c_0_22,c_0_24]) ).

cnf(c_0_104,plain,
    rd(op_c,mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,op_c))),op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_98]),c_0_13]) ).

cnf(c_0_105,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_d,mult(op_d,op_d)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_99]),c_0_11]),c_0_100]) ).

cnf(c_0_106,plain,
    mult(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(mult(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_30,c_0_19]) ).

cnf(c_0_107,plain,
    i(mult(rd(X1,X2),X3)) = mult(rd(X2,X1),i(X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_24]) ).

cnf(c_0_108,plain,
    mult(i(X1),mult(mult(X1,X2),rd(X2,X1))) = rd(X2,rd(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_19]),c_0_101]),c_0_102]) ).

cnf(c_0_109,plain,
    mult(i(X1),mult(i(X2),mult(i(X1),X3))) = mult(i(mult(X1,mult(X2,X1))),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_15]),c_0_15]) ).

cnf(c_0_110,plain,
    i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
    inference(spm,[status(thm)],[c_0_28,c_0_26]) ).

cnf(c_0_111,plain,
    mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_c,mult(op_c,op_c)))) = unit,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_73]),c_0_25]) ).

cnf(c_0_112,plain,
    rd(unit,X1) = i(X1),
    inference(spm,[status(thm)],[c_0_16,c_0_22]) ).

cnf(c_0_113,plain,
    mult(mult(i(op_d),mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_105]),c_0_84]) ).

cnf(c_0_114,plain,
    mult(rd(mult(X1,X2),X3),i(X1)) = mult(X1,rd(X2,mult(X1,X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_106]),c_0_24]),c_0_107]) ).

cnf(c_0_115,plain,
    rd(mult(op_d,mult(op_d,op_d)),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(spm,[status(thm)],[c_0_16,c_0_105]) ).

cnf(c_0_116,plain,
    rd(mult(op_c,mult(op_c,mult(op_c,op_c))),op_d) = mult(i(op_d),mult(op_c,mult(op_c,mult(op_c,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_108,c_0_100]),c_0_84]),c_0_18]),c_0_33]),c_0_13]),c_0_16]) ).

cnf(c_0_117,plain,
    i(mult(X1,rd(X2,X3))) = mult(i(X1),rd(X3,X2)),
    inference(spm,[status(thm)],[c_0_15,c_0_24]) ).

cnf(c_0_118,plain,
    mult(i(mult(X1,mult(X2,X1))),X1) = i(mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_33]),c_0_13]),c_0_15]),c_0_28]) ).

cnf(c_0_119,plain,
    i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,i(X1))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_110]),c_0_36]),c_0_66]) ).

cnf(c_0_120,plain,
    mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,op_c))),op_c)) = i(mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_111]),c_0_112]) ).

cnf(c_0_121,plain,
    mult(i(mult(X1,X2)),mult(X1,mult(i(mult(X1,X2)),X3))) = mult(i(mult(mult(X1,X2),X2)),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_37]),c_0_15]) ).

cnf(c_0_122,plain,
    mult(X1,mult(i(mult(X1,X2)),X1)) = rd(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_13]) ).

cnf(c_0_123,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_113]),c_0_88]),c_0_70]),c_0_58]),c_0_70]),c_0_90]),c_0_44]),c_0_58]),c_0_70]) ).

cnf(c_0_124,plain,
    mult(op_d,rd(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_94]),c_0_116]),c_0_32]) ).

cnf(c_0_125,plain,
    mult(i(X1),rd(X1,X2)) = mult(i(mult(X1,X2)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_94]),c_0_117]) ).

cnf(c_0_126,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),mult(op_d,op_d)) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_99]),c_0_44]),c_0_119]),c_0_70]),c_0_44]) ).

cnf(c_0_127,plain,
    rd(op_c,mult(op_c,mult(op_c,op_c))) = i(mult(op_c,op_c)),
    inference(rw,[status(thm)],[c_0_104,c_0_120]) ).

cnf(c_0_128,plain,
    mult(i(mult(X1,X2)),rd(X1,X2)) = mult(i(mult(mult(X1,X2),X2)),X1),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_129,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_123]),c_0_11]),c_0_100]) ).

cnf(c_0_130,plain,
    mult(mult(X1,mult(X2,mult(X2,X1))),X3) = mult(X1,mult(X2,mult(X2,mult(X1,X3)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_44]),c_0_44]) ).

cnf(c_0_131,plain,
    i(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = mult(i(mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,mult(op_c,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_65,c_0_124]),c_0_125]),c_0_44]),c_0_119]),c_0_70]),c_0_126]) ).

cnf(c_0_132,plain,
    mult(i(mult(op_c,op_c)),mult(op_c,mult(op_c,op_c))) = op_c,
    inference(spm,[status(thm)],[c_0_19,c_0_127]) ).

cnf(c_0_133,plain,
    rd(rd(X1,X2),mult(i(mult(X1,X2)),X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_125]),c_0_28]) ).

cnf(c_0_134,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_d,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(rw,[status(thm)],[inference(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_128,c_0_129]),c_0_26]),c_0_85]),c_0_36]),c_0_37]),c_0_33]),c_0_13]),c_0_130]),c_0_77]),c_0_131]),c_0_55]),c_0_58]),c_0_70]),c_0_44]) ).

cnf(c_0_135,plain,
    mult(mult(op_c,mult(op_c,mult(op_c,op_c))),X1) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_132]),c_0_28]),c_0_44]) ).

cnf(c_0_136,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))),X1)))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_67]),c_0_25]) ).

cnf(c_0_137,plain,
    mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_d))))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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_133,c_0_134]),c_0_16]),c_0_65]),c_0_60]),c_0_42]),c_0_70]),c_0_135]) ).

cnf(c_0_138,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1)))))))) = X1,
    inference(rw,[status(thm)],[c_0_136,c_0_36]) ).

cnf(c_0_139,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_d)))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_137]),c_0_11]) ).

cnf(c_0_140,plain,
    rd(X1,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1)))))) = mult(op_c,mult(op_c,op_c)),
    inference(spm,[status(thm)],[c_0_30,c_0_138]) ).

cnf(c_0_141,plain,
    rd(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,op_d)) = mult(op_c,mult(op_c,op_c)),
    inference(spm,[status(thm)],[c_0_30,c_0_139]) ).

cnf(c_0_142,plain,
    mult(rd(X1,X2),rd(X2,rd(X1,X2))) = mult(X1,rd(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_19]),c_0_24]) ).

cnf(c_0_143,plain,
    rd(op_d,mult(op_c,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,op_c)),
    inference(spm,[status(thm)],[c_0_140,c_0_139]) ).

cnf(c_0_144,plain,
    rd(mult(op_c,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),op_d) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_141]),c_0_25]) ).

cnf(c_0_145,plain,
    mult(rd(i(X1),X2),X1) = i(X2),
    inference(spm,[status(thm)],[c_0_74,c_0_28]) ).

cnf(c_0_146,plain,
    rd(X1,mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_135]),c_0_70]) ).

cnf(c_0_147,plain,
    rd(mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1)))),X1) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(spm,[status(thm)],[c_0_16,c_0_135]) ).

cnf(c_0_148,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_c))))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_30]),c_0_25]),c_0_144]) ).

cnf(c_0_149,plain,
    mult(X1,mult(rd(i(X1),X2),mult(X1,X3))) = mult(mult(X1,i(X2)),X3),
    inference(spm,[status(thm)],[c_0_25,c_0_145]) ).

cnf(c_0_150,plain,
    mult(X1,rd(X2,rd(X1,X2))) = mult(mult(X1,X2),rd(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_108]),c_0_28]) ).

cnf(c_0_151,plain,
    rd(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(spm,[status(thm)],[c_0_146,c_0_139]) ).

cnf(c_0_152,plain,
    rd(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_d) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(spm,[status(thm)],[c_0_147,c_0_139]) ).

cnf(c_0_153,plain,
    rd(mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,op_c)) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_154,plain,
    i(mult(X1,mult(X2,i(X3)))) = mult(i(X1),mult(i(X2),X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_39]) ).

cnf(c_0_155,plain,
    mult(i(X1),mult(rd(X1,X2),X3)) = mult(i(mult(X1,X2)),mult(X1,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_11]),c_0_28]),c_0_15]) ).

cnf(c_0_156,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_16]),c_0_152]) ).

cnf(c_0_157,plain,
    rd(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))),op_c) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_153]),c_0_135]),c_0_139]) ).

cnf(c_0_158,plain,
    mult(mult(X1,X2),mult(i(X1),X3)) = mult(X1,mult(rd(X2,X1),X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_58]),c_0_39]),c_0_28]),c_0_24]) ).

cnf(c_0_159,plain,
    rd(mult(X1,mult(X2,mult(X2,mult(X1,X3)))),X3) = mult(X1,mult(X2,mult(X2,X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_44]) ).

cnf(c_0_160,plain,
    rd(mult(op_c,mult(op_d,op_d)),mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),op_c)),
    inference(spm,[status(thm)],[c_0_30,c_0_156]) ).

cnf(c_0_161,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),op_c) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
    inference(spm,[status(thm)],[c_0_19,c_0_157]) ).

cnf(c_0_162,plain,
    mult(mult(X1,X2),mult(X1,rd(X2,X1))) = mult(X1,mult(X2,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_78]),c_0_44]),c_0_94]),c_0_37]),c_0_78]) ).

cnf(c_0_163,plain,
    rd(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(spm,[status(thm)],[c_0_16,c_0_100]) ).

cnf(c_0_164,plain,
    mult(X1,mult(rd(X2,X1),mult(mult(X1,X2),X3))) = mult(mult(mult(X1,X2),X2),X3),
    inference(rw,[status(thm)],[c_0_62,c_0_158]) ).

cnf(c_0_165,plain,
    mult(op_c,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c))) = mult(op_c,mult(op_d,mult(op_d,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_100]),c_0_95]),c_0_159]) ).

cnf(c_0_166,plain,
    i(mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1))))) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,i(X1))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_70]),c_0_135]),c_0_135]) ).

cnf(c_0_167,plain,
    rd(mult(op_c,mult(op_d,op_d)),mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
    inference(rw,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_168,plain,
    mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_d)))),mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))))) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_d))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_135]),c_0_135]),c_0_130]) ).

cnf(c_0_169,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_d))))),
    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_100]),c_0_80]),c_0_11]),c_0_135]),c_0_135]) ).

cnf(c_0_170,plain,
    mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))))))))) = mult(op_d,mult(op_d,mult(op_d,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_161]),c_0_152]),c_0_130]),c_0_134]),c_0_25]) ).

cnf(c_0_171,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c)) = mult(op_d,mult(op_d,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_165]),c_0_11]) ).

cnf(c_0_172,plain,
    mult(i(op_d),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,i(op_d))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_139]),c_0_84]) ).

cnf(c_0_173,plain,
    mult(mult(i(op_d),mult(op_c,mult(op_c,mult(op_c,op_c)))),op_d) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_95]),c_0_90]),c_0_60]),c_0_11]),c_0_84]) ).

cnf(c_0_174,plain,
    mult(i(mult(X1,mult(X2,X1))),mult(X1,X2)) = i(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_33]),c_0_13]) ).

cnf(c_0_175,plain,
    mult(mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))))),mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(op_d,op_d)),
    inference(spm,[status(thm)],[c_0_19,c_0_167]) ).

cnf(c_0_176,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_139]),c_0_169]),c_0_139]) ).

cnf(c_0_177,plain,
    i(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(i(mult(op_d,op_d)),mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_105]),c_0_65]),c_0_95]) ).

cnf(c_0_178,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))))))) = mult(op_d,mult(op_d,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_170]),c_0_11]) ).

cnf(c_0_179,plain,
    rd(mult(X1,X2),i(mult(X1,X3))) = mult(X1,mult(rd(X2,i(X3)),X1)),
    inference(spm,[status(thm)],[c_0_106,c_0_37]) ).

cnf(c_0_180,plain,
    mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))),i(X1)) = i(mult(op_c,mult(op_c,mult(op_c,X1)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_63]),c_0_25]) ).

cnf(c_0_181,plain,
    mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,i(op_d))))),mult(op_d,mult(op_d,op_c))) = mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_171]),c_0_84]),c_0_172]) ).

cnf(c_0_182,plain,
    mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,i(op_d))))),op_d) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(rw,[status(thm)],[c_0_173,c_0_172]) ).

cnf(c_0_183,plain,
    mult(mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,X1)))))),X4) = mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,X4))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_25]),c_0_25]),c_0_25]) ).

cnf(c_0_184,plain,
    mult(mult(i(mult(op_d,op_d)),mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,op_c))) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,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_174,c_0_175]),c_0_25]),c_0_176]),c_0_177]),c_0_25]),c_0_178]),c_0_63]) ).

cnf(c_0_185,plain,
    mult(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(X2,mult(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_179]),c_0_78]),c_0_44]) ).

cnf(c_0_186,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,i(X1)))))) = i(mult(op_c,mult(op_c,mult(op_c,X1)))),
    inference(rw,[status(thm)],[c_0_180,c_0_36]) ).

cnf(c_0_187,plain,
    rd(mult(op_d,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c)),mult(op_d,op_c)) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_181]),c_0_182]) ).

cnf(c_0_188,plain,
    mult(i(mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,X1))))))),mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,X4)))))))) = X4,
    inference(spm,[status(thm)],[c_0_11,c_0_183]) ).

cnf(c_0_189,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_60,c_0_184]),c_0_185]),c_0_130]),c_0_130]),c_0_186]),c_0_37]),c_0_37]),c_0_37]),c_0_15]),c_0_44]),c_0_26]),c_0_110]),c_0_66]),c_0_58]),c_0_70]),c_0_44]) ).

cnf(c_0_190,plain,
    mult(mult(X1,X2),mult(mult(X1,X2),X3)) = mult(X1,mult(X2,mult(X2,mult(X1,X3)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_185]),c_0_130]) ).

cnf(c_0_191,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,op_c)) = mult(op_d,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c)),
    inference(spm,[status(thm)],[c_0_19,c_0_187]) ).

cnf(c_0_192,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c)))))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_178]),c_0_57]),c_0_37]),c_0_28]) ).

cnf(c_0_193,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))))) = mult(i(mult(op_c,op_c)),mult(op_d,mult(op_d,op_c))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_178]),c_0_11]) ).

cnf(c_0_194,plain,
    mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))))))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_189]),c_0_152]),c_0_130]),c_0_134]),c_0_25]) ).

cnf(c_0_195,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c))) = mult(op_d,mult(op_d,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_190,c_0_191]),c_0_130]),c_0_192]),c_0_130]),c_0_193]),c_0_53]),c_0_32]) ).

cnf(c_0_196,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1)))))) = mult(i(mult(op_c,op_c)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_53]),c_0_32]) ).

cnf(c_0_197,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_194]),c_0_11]) ).

cnf(c_0_198,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),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_190,c_0_195]),c_0_130]),c_0_130]),c_0_196]),c_0_53]),c_0_32]) ).

cnf(c_0_199,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_197]),c_0_57]),c_0_37]),c_0_28]) ).

cnf(c_0_200,plain,
    mult(i(mult(X1,X2)),mult(X1,mult(X2,X2))) = mult(X1,rd(X2,X1)),
    inference(spm,[status(thm)],[c_0_11,c_0_162]) ).

cnf(c_0_201,plain,
    i(mult(op_c,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c))) = rd(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),
    inference(spm,[status(thm)],[c_0_76,c_0_100]) ).

cnf(c_0_202,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_198]),c_0_130]),c_0_199]),c_0_130]),c_0_197]) ).

cnf(c_0_203,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1))))))) = mult(i(mult(op_d,op_d)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_20]),c_0_37]) ).

cnf(c_0_204,plain,
    i(mult(X1,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(i(X1),mult(op_c,mult(op_c,op_c))),
    inference(spm,[status(thm)],[c_0_15,c_0_67]) ).

cnf(c_0_205,plain,
    rd(mult(X1,mult(X1,rd(X2,X1))),mult(X2,X2)) = rd(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_200]),c_0_122]) ).

cnf(c_0_206,plain,
    i(mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c)) = mult(op_c,rd(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))),
    inference(spm,[status(thm)],[c_0_37,c_0_201]) ).

cnf(c_0_207,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,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(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_188,c_0_202]),c_0_123]),c_0_77]),c_0_131]),c_0_55]),c_0_58]),c_0_70]),c_0_44]),c_0_203]),c_0_53]),c_0_158]),c_0_152]),c_0_135]) ).

cnf(c_0_208,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,i(mult(op_d,op_c)))))) = mult(i(op_d),mult(op_c,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_148]),c_0_204]) ).

cnf(c_0_209,plain,
    i(mult(X1,mult(i(X2),X3))) = mult(i(X1),mult(X2,i(X3))),
    inference(spm,[status(thm)],[c_0_15,c_0_58]) ).

cnf(c_0_210,plain,
    rd(mult(X1,mult(X2,mult(X2,rd(X1,X2)))),X1) = mult(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_205]),c_0_19]) ).

cnf(c_0_211,plain,
    mult(op_c,rd(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d))) = mult(i(op_d),mult(op_c,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_207]),c_0_204]) ).

cnf(c_0_212,plain,
    mult(i(op_c),mult(i(op_d),mult(op_c,mult(op_c,op_c)))) = mult(op_c,mult(op_c,mult(op_c,i(mult(op_d,op_c))))),
    inference(spm,[status(thm)],[c_0_11,c_0_208]) ).

cnf(c_0_213,plain,
    mult(i(op_c),mult(op_d,i(op_c))) = mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_172]),c_0_186]),c_0_179]),c_0_179]),c_0_38]),c_0_25]),c_0_36]),c_0_209]) ).

cnf(c_0_214,plain,
    mult(X1,mult(X2,mult(X2,rd(X1,X2)))) = mult(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_19,c_0_210]) ).

cnf(c_0_215,plain,
    rd(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)) = mult(op_c,mult(op_c,mult(op_c,i(mult(op_d,op_c))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_211]),c_0_212]) ).

cnf(c_0_216,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,mult(op_c,op_c))))))) = mult(op_d,i(op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_213]),c_0_28]) ).

cnf(c_0_217,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,op_c))) = mult(op_d,i(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_190]),c_0_208]),c_0_32]),c_0_25]),c_0_216]),c_0_25]),c_0_139]) ).

cnf(c_0_218,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(i(mult(op_c,op_c)),op_d),
    inference(spm,[status(thm)],[c_0_196,c_0_139]) ).

cnf(c_0_219,plain,
    mult(i(mult(X1,mult(X2,X1))),mult(X1,X3)) = mult(i(X1),mult(i(X2),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_32]),c_0_28]) ).

cnf(c_0_220,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,op_d))) = mult(op_d,mult(i(mult(op_c,op_c)),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_217]),c_0_185]),c_0_61]),c_0_25]),c_0_218]),c_0_53]),c_0_25]),c_0_32]) ).

cnf(c_0_221,plain,
    mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,i(op_d)))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_172]),c_0_28]) ).

cnf(c_0_222,plain,
    rd(mult(op_c,mult(op_c,op_d)),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = i(mult(op_c,op_c)),
    inference(spm,[status(thm)],[c_0_85,c_0_139]) ).

cnf(c_0_223,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,X1))))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(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(spm,[status(thm)],[c_0_219,c_0_172]),c_0_130]),c_0_186]),c_0_37]),c_0_37]),c_0_37]),c_0_28]),c_0_130]),c_0_70]),c_0_28]),c_0_130]) ).

cnf(c_0_224,plain,
    mult(i(mult(X1,X2)),mult(X1,mult(X2,mult(X2,X1)))) = mult(X1,X2),
    inference(spm,[status(thm)],[c_0_11,c_0_185]) ).

cnf(c_0_225,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),i(mult(op_c,op_c))) = mult(op_d,mult(op_c,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_94,c_0_220]),c_0_84]),c_0_172]),c_0_25]),c_0_221]),c_0_56]),c_0_222]) ).

cnf(c_0_226,plain,
    mult(i(mult(op_c,op_c)),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_c,mult(op_c,op_d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_139]),c_0_11]) ).

cnf(c_0_227,plain,
    mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,rd(op_c,op_d))))))) = mult(op_c,mult(op_c,mult(op_c,mult(mult(op_c,op_d),op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_214]),c_0_223]) ).

cnf(c_0_228,plain,
    mult(i(mult(X1,X1)),rd(X1,X2)) = mult(i(X1),mult(i(mult(X1,X2)),X1)),
    inference(spm,[status(thm)],[c_0_60,c_0_122]) ).

cnf(c_0_229,plain,
    mult(i(mult(op_d,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_d,mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]),c_0_60]),c_0_11]),c_0_95]) ).

cnf(c_0_230,plain,
    rd(i(X1),mult(X2,i(X3))) = rd(mult(i(X2),X3),X1),
    inference(spm,[status(thm)],[c_0_29,c_0_58]) ).

cnf(c_0_231,plain,
    mult(i(op_c),mult(mult(op_c,op_d),op_c)) = mult(op_d,mult(op_d,rd(op_c,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_227]),c_0_196]),c_0_53]),c_0_223]),c_0_196]),c_0_228]),c_0_32]),c_0_122]) ).

cnf(c_0_232,plain,
    mult(rd(X1,X2),mult(mult(X2,X1),X3)) = mult(i(X2),mult(mult(mult(X2,X1),X1),X3)),
    inference(spm,[status(thm)],[c_0_11,c_0_164]) ).

cnf(c_0_233,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_c,op_c))) = mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_229]),c_0_15]),c_0_185]),c_0_44]),c_0_44]),c_0_139]),c_0_177]),c_0_58]),c_0_70]),c_0_44]),c_0_28]) ).

cnf(c_0_234,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_83]),c_0_25]),c_0_37]),c_0_37]),c_0_84]),c_0_32]),c_0_70]),c_0_135]),c_0_25]),c_0_77]),c_0_28]) ).

cnf(c_0_235,plain,
    rd(mult(X1,mult(X1,mult(X2,mult(X1,mult(X1,X3))))),X3) = mult(X1,mult(X1,mult(X2,mult(X1,X1)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_44]),c_0_44]) ).

cnf(c_0_236,plain,
    rd(i(X1),mult(X2,mult(X2,i(X3)))) = rd(mult(i(mult(X2,X2)),X3),X1),
    inference(spm,[status(thm)],[c_0_230,c_0_44]) ).

cnf(c_0_237,plain,
    rd(mult(i(X1),X2),X1) = mult(i(X1),mult(X2,i(X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_13]) ).

cnf(c_0_238,plain,
    mult(i(mult(X1,X2)),mult(X1,rd(X2,X1))) = i(X1),
    inference(spm,[status(thm)],[c_0_11,c_0_94]) ).

cnf(c_0_239,plain,
    rd(mult(mult(op_c,op_d),mult(op_d,mult(op_d,rd(op_c,op_d)))),op_c) = mult(mult(op_c,op_d),op_d),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_231]),c_0_11]) ).

cnf(c_0_240,plain,
    mult(i(mult(X1,mult(X1,X1))),mult(X1,X2)) = mult(i(mult(X1,X1)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_60]),c_0_32]),c_0_44]) ).

cnf(c_0_241,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,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_232,c_0_233]),c_0_152]),c_0_130]),c_0_134]),c_0_25]),c_0_11]) ).

cnf(c_0_242,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))))) = mult(op_d,mult(op_d,op_d)),
    inference(spm,[status(thm)],[c_0_138,c_0_234]) ).

cnf(c_0_243,plain,
    mult(i(mult(op_c,op_c)),mult(op_d,i(mult(op_c,op_c)))) = mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_221]),c_0_57]),c_0_236]),c_0_237]) ).

cnf(c_0_244,plain,
    i(mult(op_c,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(rd(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_c),
    inference(spm,[status(thm)],[c_0_118,c_0_201]) ).

cnf(c_0_245,plain,
    mult(rd(X1,mult(X2,X3)),mult(X2,rd(X3,mult(X2,X1)))) = i(X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_106]),c_0_24]),c_0_16]) ).

cnf(c_0_246,plain,
    rd(mult(op_d,mult(op_d,rd(op_c,op_d))),mult(mult(op_c,op_d),op_c)) = i(op_c),
    inference(spm,[status(thm)],[c_0_16,c_0_231]) ).

cnf(c_0_247,plain,
    mult(mult(op_c,op_d),mult(op_d,mult(op_d,rd(op_c,op_d)))) = mult(mult(mult(op_c,op_d),op_d),op_c),
    inference(spm,[status(thm)],[c_0_19,c_0_239]) ).

cnf(c_0_248,plain,
    rd(mult(X1,i(X2)),i(X3)) = rd(X3,mult(i(X1),X2)),
    inference(spm,[status(thm)],[c_0_29,c_0_58]) ).

cnf(c_0_249,plain,
    rd(mult(i(mult(X1,X1)),X2),mult(X1,X2)) = i(mult(X1,mult(X1,X1))),
    inference(spm,[status(thm)],[c_0_16,c_0_240]) ).

cnf(c_0_250,plain,
    mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_d,mult(op_d,mult(op_d,i(mult(op_c,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_241]),c_0_57]),c_0_37]),c_0_28]),c_0_223]),c_0_223]),c_0_223]),c_0_57]) ).

cnf(c_0_251,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))) = mult(i(mult(op_c,op_c)),mult(op_d,mult(op_d,op_d))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_242]),c_0_11]) ).

cnf(c_0_252,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c)))))) = mult(op_d,i(mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_243]),c_0_28]),c_0_44]) ).

cnf(c_0_253,plain,
    mult(mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_240,c_0_229]),c_0_15]),c_0_185]),c_0_44]),c_0_44]),c_0_139]),c_0_177]),c_0_58]),c_0_58]),c_0_70]),c_0_44]),c_0_15]),c_0_185]),c_0_44]),c_0_44]),c_0_139]),c_0_177]),c_0_58]),c_0_70]),c_0_44]),c_0_185]),c_0_95]),c_0_105]) ).

cnf(c_0_254,plain,
    mult(rd(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),op_c) = mult(op_c,mult(op_c,mult(op_c,i(op_d)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_139]),c_0_244]),c_0_37]) ).

cnf(c_0_255,plain,
    rd(mult(op_c,op_d),mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c)),
    inference(spm,[status(thm)],[c_0_30,c_0_100]) ).

cnf(c_0_256,plain,
    mult(i(mult(X1,X1)),X1) = i(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_78]),c_0_15]),c_0_28]) ).

cnf(c_0_257,plain,
    mult(X1,mult(i(mult(X1,X2)),mult(X1,X3))) = mult(rd(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_25,c_0_122]) ).

cnf(c_0_258,plain,
    mult(mult(mult(X1,X2),X2),i(X1)) = mult(mult(X1,X2),rd(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_94]),c_0_11]) ).

cnf(c_0_259,plain,
    mult(i(mult(mult(op_c,op_d),op_d)),mult(op_c,rd(op_d,op_c))) = i(mult(op_c,op_d)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]),c_0_18]),c_0_94]) ).

cnf(c_0_260,plain,
    rd(mult(X1,rd(X2,X1)),i(X3)) = rd(X3,mult(i(mult(X1,X2)),X1)),
    inference(spm,[status(thm)],[c_0_248,c_0_94]) ).

cnf(c_0_261,plain,
    rd(mult(X1,X2),mult(i(X1),X3)) = mult(X1,mult(rd(X2,X3),X1)),
    inference(spm,[status(thm)],[c_0_106,c_0_32]) ).

cnf(c_0_262,plain,
    rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_c,op_c))) = mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_249,c_0_229]),c_0_15]),c_0_185]),c_0_44]),c_0_44]),c_0_139]),c_0_177]),c_0_58]),c_0_70]),c_0_44]),c_0_185]),c_0_95]),c_0_105]),c_0_15]),c_0_185]),c_0_44]),c_0_44]),c_0_139]),c_0_177]),c_0_58]),c_0_58]),c_0_70]),c_0_44]) ).

cnf(c_0_263,plain,
    mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,i(mult(op_c,op_c)))))) = mult(op_d,mult(op_d,mult(op_d,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_190,c_0_250]),c_0_44]),c_0_251]),c_0_44]),c_0_53]),c_0_32]) ).

cnf(c_0_264,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,op_c)))))) = mult(i(op_c),mult(op_d,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_252]),c_0_60]) ).

cnf(c_0_265,plain,
    mult(mult(mult(X1,X2),X2),mult(X1,X2)) = mult(mult(X1,X2),mult(X2,mult(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_185]),c_0_102]),c_0_32]) ).

cnf(c_0_266,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,i(mult(op_c,op_c))))),mult(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
    inference(rw,[status(thm)],[c_0_253,c_0_250]) ).

cnf(c_0_267,plain,
    mult(op_c,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,mult(op_c,mult(op_c,i(op_d))))))) = op_c,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_254]),c_0_24]),c_0_255]),c_0_25]) ).

cnf(c_0_268,plain,
    mult(op_c,mult(op_c,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,op_c)))) = rd(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_255]),c_0_25]) ).

cnf(c_0_269,plain,
    mult(X1,mult(X2,mult(rd(X1,mult(X2,mult(X1,mult(X1,mult(X2,X1))))),mult(X2,mult(X1,X3))))) = X3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_256]),c_0_37]),c_0_37]),c_0_33]),c_0_41]),c_0_25]),c_0_257]) ).

cnf(c_0_270,plain,
    mult(i(mult(op_c,op_d)),mult(mult(mult(op_c,op_d),op_d),op_d)) = mult(i(op_c),mult(mult(op_c,op_d),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_238]),c_0_28]),c_0_260]),c_0_261]),c_0_102]),c_0_158]),c_0_164]) ).

cnf(c_0_271,plain,
    mult(mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,rd(mult(op_c,op_c),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(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_162,c_0_262]),c_0_190]),c_0_44]),c_0_251]),c_0_44]),c_0_53]),c_0_32]),c_0_66]),c_0_20]),c_0_37]),c_0_37]),c_0_94]) ).

cnf(c_0_272,plain,
    mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_263]),c_0_44]),c_0_44]),c_0_223]),c_0_223]),c_0_223]),c_0_264]),c_0_32]) ).

cnf(c_0_273,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_c,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(rw,[status(thm)],[inference(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_265,c_0_266]),c_0_130]),c_0_190]),c_0_44]),c_0_44]),c_0_223]),c_0_223]),c_0_223]),c_0_264]),c_0_32]),c_0_130]),c_0_203]),c_0_53]),c_0_32]) ).

cnf(c_0_274,plain,
    rd(mult(op_c,op_c),mult(op_c,mult(op_c,i(op_d)))) = rd(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_267]),c_0_268]) ).

cnf(c_0_275,plain,
    mult(rd(X1,X2),mult(i(mult(X1,X2)),X1)) = rd(rd(X1,X2),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_74]),c_0_28]),c_0_125]) ).

cnf(c_0_276,plain,
    rd(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,op_d))) = mult(op_c,op_c),
    inference(spm,[status(thm)],[c_0_73,c_0_139]) ).

cnf(c_0_277,plain,
    i(mult(X1,mult(i(X2),X1))) = mult(i(X1),mult(X2,i(X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_42]),c_0_237]) ).

cnf(c_0_278,plain,
    mult(mult(op_c,op_d),mult(i(mult(op_c,mult(op_d,mult(op_d,op_c)))),mult(mult(op_c,op_d),op_d))) = 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_11]),c_0_190]),c_0_11]),c_0_85]),c_0_158]),c_0_18]),c_0_109]),c_0_44]) ).

cnf(c_0_279,plain,
    rd(X1,X1) = unit,
    inference(spm,[status(thm)],[c_0_16,c_0_41]) ).

cnf(c_0_280,plain,
    rd(mult(i(mult(X1,X1)),X2),mult(i(X1),X2)) = i(X1),
    inference(spm,[status(thm)],[c_0_18,c_0_53]) ).

cnf(c_0_281,plain,
    rd(mult(i(X1),X2),i(X3)) = rd(X3,mult(X1,i(X2))),
    inference(spm,[status(thm)],[c_0_29,c_0_39]) ).

cnf(c_0_282,plain,
    mult(op_d,rd(mult(op_c,op_c),op_d)) = mult(op_c,op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_272]),c_0_273]) ).

cnf(c_0_283,plain,
    rd(mult(op_c,mult(op_c,i(op_d))),mult(op_c,op_c)) = rd(mult(op_c,op_c),mult(op_c,mult(op_c,op_d))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_274]),c_0_24]) ).

cnf(c_0_284,plain,
    rd(mult(op_c,op_c),mult(op_c,mult(op_c,op_d))) = mult(op_c,mult(op_c,i(mult(op_d,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_220]),c_0_276]),c_0_277]),c_0_44]),c_0_130]),c_0_11]),c_0_57]),c_0_15]),c_0_44]),c_0_276]) ).

cnf(c_0_285,plain,
    mult(i(mult(op_c,op_c)),mult(op_d,mult(op_c,op_c))) = mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_243]),c_0_15]),c_0_44]),c_0_70]),c_0_70]),c_0_130]),c_0_196]),c_0_28]),c_0_44]) ).

cnf(c_0_286,plain,
    mult(mult(op_c,op_d),mult(i(mult(op_c,mult(op_d,mult(op_d,op_c)))),mult(op_c,op_d))) = unit,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_278]),c_0_279]) ).

cnf(c_0_287,plain,
    mult(mult(i(X1),X2),mult(X1,mult(mult(i(X1),X2),X3))) = mult(mult(mult(i(X1),X2),X2),X3),
    inference(spm,[status(thm)],[c_0_25,c_0_32]) ).

cnf(c_0_288,plain,
    rd(mult(op_c,op_d),mult(mult(op_c,op_d),mult(op_d,mult(op_d,op_c)))) = i(mult(mult(op_c,op_d),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_280,c_0_259]),c_0_185]),c_0_281]),c_0_117]),c_0_125]),c_0_130]),c_0_32]) ).

cnf(c_0_289,plain,
    rd(i(X1),mult(i(X2),X3)) = rd(mult(X2,i(X3)),X1),
    inference(spm,[status(thm)],[c_0_29,c_0_39]) ).

cnf(c_0_290,plain,
    mult(mult(X1,mult(X2,mult(X3,mult(X4,mult(X3,mult(X2,X1)))))),X5) = mult(X1,mult(X2,mult(X3,mult(X4,mult(X3,mult(X2,mult(X1,X5))))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_36]),c_0_36]) ).

cnf(c_0_291,plain,
    mult(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)) = mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_282]),c_0_44]),c_0_44]) ).

cnf(c_0_292,plain,
    mult(rd(mult(op_c,op_c),mult(op_c,mult(op_c,op_d))),mult(op_c,op_c)) = mult(op_c,mult(op_c,i(op_d))),
    inference(spm,[status(thm)],[c_0_19,c_0_283]) ).

cnf(c_0_293,plain,
    i(mult(X1,mult(X2,mult(X1,i(X3))))) = mult(i(mult(X1,mult(X2,X1))),X3),
    inference(spm,[status(thm)],[c_0_39,c_0_25]) ).

cnf(c_0_294,plain,
    rd(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)) = mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_284]),c_0_154]),c_0_61]),c_0_285]) ).

cnf(c_0_295,plain,
    mult(i(mult(mult(X1,X2),X2)),mult(X1,X2)) = mult(i(mult(X1,X2)),X1),
    inference(spm,[status(thm)],[c_0_125,c_0_16]) ).

cnf(c_0_296,plain,
    mult(i(mult(op_c,mult(op_d,mult(op_d,op_c)))),mult(op_c,op_d)) = i(mult(op_c,op_d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_286]),c_0_13]) ).

cnf(c_0_297,plain,
    i(unit) = unit,
    inference(spm,[status(thm)],[c_0_13,c_0_22]) ).

cnf(c_0_298,plain,
    mult(i(mult(op_c,op_d)),mult(op_c,mult(rd(op_d,op_c),X1))) = mult(i(op_c),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_259]),c_0_158]),c_0_18]),c_0_158]),c_0_238]) ).

cnf(c_0_299,plain,
    mult(i(X1),mult(rd(X1,X2),mult(i(X1),X3))) = mult(i(mult(X1,X2)),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_74]),c_0_15]) ).

cnf(c_0_300,plain,
    rd(i(X1),rd(X2,X3)) = rd(rd(X3,X2),X1),
    inference(spm,[status(thm)],[c_0_29,c_0_24]) ).

cnf(c_0_301,plain,
    mult(i(X1),rd(mult(X1,X2),X3)) = mult(rd(X2,mult(X1,X3)),X1),
    inference(spm,[status(thm)],[c_0_11,c_0_106]) ).

cnf(c_0_302,plain,
    rd(mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_d)))),mult(mult(op_c,op_d),op_d)) = mult(op_c,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_133,c_0_288]),c_0_190]),c_0_289]),c_0_290]),c_0_37]),c_0_33]),c_0_13]) ).

cnf(c_0_303,plain,
    mult(i(mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_234]),c_0_11]) ).

cnf(c_0_304,plain,
    mult(mult(op_c,mult(op_c,op_d)),mult(op_c,mult(op_c,i(mult(op_d,mult(op_c,op_c)))))) = mult(op_c,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_94,c_0_291]),c_0_36]),c_0_37]),c_0_37]),c_0_33]),c_0_13]),c_0_284]) ).

cnf(c_0_305,plain,
    mult(mult(op_c,mult(op_c,i(mult(op_d,mult(op_c,op_c))))),mult(op_c,mult(op_c,op_d))) = mult(op_c,op_c),
    inference(spm,[status(thm)],[c_0_19,c_0_284]) ).

cnf(c_0_306,plain,
    mult(mult(op_c,mult(op_c,i(mult(op_d,mult(op_c,op_c))))),mult(op_c,op_c)) = mult(op_c,mult(op_c,i(op_d))),
    inference(rw,[status(thm)],[c_0_292,c_0_284]) ).

cnf(c_0_307,plain,
    rd(mult(X1,mult(X2,mult(X3,mult(X2,mult(X4,mult(X2,mult(X3,mult(X2,mult(X1,X5))))))))),X5) = mult(X1,mult(X2,mult(X3,mult(X2,mult(X4,mult(X2,mult(X3,mult(X2,X1)))))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_183]),c_0_183]) ).

cnf(c_0_308,plain,
    mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(i(mult(op_d,mult(op_d,op_d))),mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_263]),c_0_26]),c_0_293]) ).

cnf(c_0_309,plain,
    mult(X1,mult(i(mult(X1,mult(X1,X1))),X2)) = mult(i(mult(X1,X1)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_121]),c_0_44]),c_0_11]) ).

cnf(c_0_310,plain,
    mult(mult(op_d,mult(op_c,op_c)),mult(op_c,op_c)) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_272]),c_0_185]),c_0_190]),c_0_190]),c_0_190]),c_0_190]),c_0_44]),c_0_44]),c_0_223]),c_0_223]),c_0_223]),c_0_223]),c_0_139]),c_0_77]),c_0_131]),c_0_55]),c_0_53]),c_0_172]),c_0_221]),c_0_130]),c_0_130]),c_0_203]),c_0_53]),c_0_32]) ).

cnf(c_0_311,plain,
    mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,i(op_d))))),mult(op_d,mult(op_c,op_c))) = i(mult(op_c,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_294]),c_0_44]),c_0_139]),c_0_84]),c_0_172]),c_0_44]),c_0_264]),c_0_32]) ).

cnf(c_0_312,plain,
    mult(mult(op_c,op_d),i(mult(op_c,mult(op_d,mult(op_d,op_c))))) = i(mult(op_c,op_d)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_22]),c_0_297]),c_0_41]),c_0_28]) ).

cnf(c_0_313,plain,
    mult(mult(op_c,op_d),mult(op_c,mult(rd(op_d,op_c),X1))) = mult(op_c,mult(op_d,mult(op_d,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_60,c_0_298]),c_0_15]),c_0_185]),c_0_28]),c_0_130]),c_0_32]),c_0_28]) ).

cnf(c_0_314,plain,
    mult(rd(X1,X2),mult(i(X1),X3)) = mult(X1,mult(i(mult(X1,X2)),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_299]),c_0_28]) ).

cnf(c_0_315,plain,
    mult(rd(X1,X2),rd(rd(X2,X1),X1)) = mult(i(mult(X2,X1)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_74]),c_0_24]),c_0_300]),c_0_125]) ).

cnf(c_0_316,plain,
    mult(rd(mult(op_d,mult(op_d,mult(op_c,op_d))),mult(op_c,mult(mult(op_c,op_d),op_d))),op_c) = op_d,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_11]) ).

cnf(c_0_317,plain,
    rd(mult(op_d,op_c),mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(spm,[status(thm)],[c_0_146,c_0_148]) ).

cnf(c_0_318,plain,
    rd(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,mult(op_d,op_d))) = mult(op_c,mult(op_c,mult(op_c,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_85,c_0_303]),c_0_60]),c_0_11]),c_0_15]),c_0_44]),c_0_70]),c_0_70]) ).

cnf(c_0_319,plain,
    mult(mult(op_c,mult(op_c,op_d)),mult(op_c,mult(op_c,i(op_d)))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_304]),c_0_44]),c_0_305]),c_0_306]) ).

cnf(c_0_320,plain,
    rd(mult(op_d,mult(op_c,op_c)),op_d) = mult(op_c,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_309]),c_0_53]),c_0_32]),c_0_272]),c_0_203]),c_0_53]),c_0_32]) ).

cnf(c_0_321,plain,
    mult(mult(X1,X2),mult(i(mult(mult(X1,X2),X2)),X1)) = rd(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_128]),c_0_28]) ).

cnf(c_0_322,plain,
    rd(op_d,mult(op_c,op_c)) = mult(op_d,i(mult(op_c,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_275,c_0_310]),c_0_16]),c_0_84]),c_0_172]),c_0_311]),c_0_16]) ).

cnf(c_0_323,plain,
    rd(mult(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_d))))),op_d) = mult(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_302]),c_0_185]) ).

cnf(c_0_324,plain,
    mult(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,op_c)))) = mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,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_122,c_0_312]),c_0_28]),c_0_185]),c_0_179]),c_0_38]),c_0_25]),c_0_185]) ).

cnf(c_0_325,plain,
    mult(op_c,mult(op_d,mult(op_d,mult(rd(op_c,op_d),X1)))) = mult(mult(op_c,op_d),mult(op_c,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_32]),c_0_24]) ).

cnf(c_0_326,plain,
    mult(X1,mult(X2,mult(X1,mult(i(mult(X1,mult(X2,X1))),X3)))) = X3,
    inference(spm,[status(thm)],[c_0_25,c_0_32]) ).

cnf(c_0_327,plain,
    mult(X1,mult(X2,i(mult(mult(X2,X1),X2)))) = mult(i(mult(X1,X2)),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_200,c_0_314]),c_0_74]),c_0_28]),c_0_15]),c_0_300]),c_0_315]) ).

cnf(c_0_328,plain,
    mult(rd(mult(op_c,mult(mult(op_c,op_d),op_d)),mult(op_d,mult(op_d,mult(op_c,op_d)))),op_d) = op_c,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_316]),c_0_24]) ).

cnf(c_0_329,plain,
    rd(mult(op_d,mult(op_d,op_c)),mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_317]),c_0_135]),c_0_139]) ).

cnf(c_0_330,plain,
    rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),mult(op_d,op_d)) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_d))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_318]),c_0_135]) ).

cnf(c_0_331,plain,
    mult(mult(op_c,mult(op_c,op_d)),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(i(mult(op_c,op_c)),op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_319]),c_0_70]),c_0_154]),c_0_61]) ).

cnf(c_0_332,plain,
    mult(op_c,mult(op_c,op_d)) = mult(op_d,mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_320]),c_0_44]) ).

cnf(c_0_333,plain,
    mult(mult(op_d,mult(op_c,op_c)),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,i(mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_310]),c_0_84]),c_0_172]),c_0_182]),c_0_322]) ).

cnf(c_0_334,plain,
    mult(mult(op_d,mult(op_c,op_c)),i(mult(op_c,op_c))) = op_d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_310]),c_0_84]),c_0_172]),c_0_311]),c_0_16]) ).

cnf(c_0_335,plain,
    mult(mult(op_d,i(mult(op_c,op_c))),mult(op_c,op_c)) = op_d,
    inference(spm,[status(thm)],[c_0_19,c_0_322]) ).

cnf(c_0_336,plain,
    rd(i(X1),X2) = rd(i(X2),X1),
    inference(spm,[status(thm)],[c_0_29,c_0_28]) ).

cnf(c_0_337,plain,
    rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_105]),c_0_95]) ).

cnf(c_0_338,plain,
    rd(mult(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_d))))),op_d) = mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_d))))),
    inference(rw,[status(thm)],[c_0_323,c_0_324]) ).

cnf(c_0_339,plain,
    mult(mult(op_c,op_d),mult(op_c,mult(op_d,X1))) = mult(op_c,mult(op_d,mult(mult(op_d,op_c),X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_102]),c_0_32]) ).

cnf(c_0_340,plain,
    mult(mult(X1,X2),mult(X1,mult(X2,X1))) = mult(X1,mult(X2,mult(mult(X2,X1),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_326,c_0_327]),c_0_37]),c_0_28]),c_0_118]),c_0_15]),c_0_28]) ).

cnf(c_0_341,plain,
    rd(mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_d))),mult(op_d,mult(op_c,op_d))) = mult(op_d,op_c),
    inference(spm,[status(thm)],[c_0_106,c_0_328]) ).

cnf(c_0_342,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),i(mult(op_d,mult(op_d,op_c)))) = mult(op_c,mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_329]),c_0_166]),c_0_33]),c_0_13]) ).

cnf(c_0_343,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_d))))),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
    inference(spm,[status(thm)],[c_0_19,c_0_330]) ).

cnf(c_0_344,plain,
    rd(mult(X1,X2),mult(i(mult(X1,X1)),X2)) = mult(X1,mult(X1,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_240]),c_0_28]) ).

cnf(c_0_345,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),i(mult(op_d,op_d))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_156]),c_0_70]) ).

cnf(c_0_346,plain,
    mult(i(mult(op_c,op_c)),op_d) = mult(op_d,i(mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_331,c_0_332]),c_0_333]) ).

cnf(c_0_347,plain,
    rd(X1,i(X2)) = mult(X1,mult(mult(i(X1),X2),X1)),
    inference(spm,[status(thm)],[c_0_38,c_0_32]) ).

cnf(c_0_348,plain,
    mult(mult(i(op_d),mult(op_c,op_c)),op_d) = mult(op_c,op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_334]),c_0_39]),c_0_11]) ).

cnf(c_0_349,plain,
    mult(mult(op_d,i(mult(op_c,op_c))),mult(op_d,mult(op_c,op_c))) = mult(op_d,op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_335]),c_0_44]),c_0_44]),c_0_264]),c_0_32]) ).

cnf(c_0_350,plain,
    rd(i(op_d),mult(op_c,op_c)) = i(mult(op_d,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_334]),c_0_336]) ).

cnf(c_0_351,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c)))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_332]),c_0_310]) ).

cnf(c_0_352,plain,
    mult(mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_337]),c_0_129]),c_0_66]),c_0_20]),c_0_37]),c_0_37]),c_0_94]),c_0_116]),c_0_32]) ).

cnf(c_0_353,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_d,op_d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_89]),c_0_28]) ).

cnf(c_0_354,plain,
    rd(mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_d))))),op_d) = mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_d))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_339]),c_0_340]) ).

cnf(c_0_355,plain,
    rd(mult(op_d,mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_d)))),mult(op_c,op_d)) = mult(op_d,mult(mult(op_d,op_c),op_d)),
    inference(spm,[status(thm)],[c_0_106,c_0_341]) ).

cnf(c_0_356,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_c,mult(op_c,op_c))) = mult(op_d,mult(op_d,i(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_342]),c_0_37]),c_0_190]),c_0_37]),c_0_94]),c_0_73]),c_0_135]),c_0_57]),c_0_37]) ).

cnf(c_0_357,plain,
    rd(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
    inference(spm,[status(thm)],[c_0_146,c_0_176]) ).

cnf(c_0_358,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
    inference(rw,[status(thm)],[c_0_343,c_0_137]) ).

cnf(c_0_359,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = rd(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,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(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_344,c_0_345]),c_0_185]),c_0_95]),c_0_105]),c_0_26]),c_0_36]),c_0_37]),c_0_33]),c_0_13]),c_0_185]),c_0_95]),c_0_105]) ).

cnf(c_0_360,plain,
    mult(op_c,mult(op_c,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_346]),c_0_28]),c_0_347]),c_0_348]),c_0_349]),c_0_44]),c_0_336]),c_0_350]),c_0_38]),c_0_44]),c_0_332]) ).

cnf(c_0_361,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c))))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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_185,c_0_332]),c_0_185]),c_0_44]),c_0_332]),c_0_44]),c_0_190]),c_0_351]) ).

cnf(c_0_362,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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_164,c_0_352]),c_0_337]),c_0_353]),c_0_123]),c_0_352]),c_0_135]) ).

cnf(c_0_363,plain,
    mult(op_c,rd(mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_d)))),op_c)) = mult(op_c,mult(op_d,mult(mult(op_d,op_c),op_d))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_354]),c_0_94]),c_0_355]) ).

cnf(c_0_364,plain,
    mult(mult(mult(op_d,mult(op_c,op_c)),i(mult(op_c,op_c))),mult(op_d,mult(op_c,op_c))) = mult(mult(op_d,mult(op_c,op_c)),op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_225]),c_0_226]),c_0_60]),c_0_11]) ).

cnf(c_0_365,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(i(mult(op_d,op_d)),op_c)) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_356]),c_0_154]),c_0_61]),c_0_63]) ).

cnf(c_0_366,plain,
    rd(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_d,op_d))) = mult(i(mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,mult(op_c,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_162,c_0_357]),c_0_358]),c_0_156]),c_0_126]),c_0_131]),c_0_44]),c_0_359]) ).

cnf(c_0_367,plain,
    rd(mult(i(mult(X1,X2)),X1),rd(X1,X2)) = i(X1),
    inference(spm,[status(thm)],[c_0_16,c_0_125]) ).

cnf(c_0_368,plain,
    rd(mult(i(X1),X2),mult(X1,X2)) = i(mult(X1,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_11]),c_0_15]) ).

cnf(c_0_369,plain,
    rd(mult(X1,X2),mult(X1,mult(X2,mult(X2,X1)))) = i(mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_18,c_0_185]) ).

cnf(c_0_370,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_360]),c_0_185]),c_0_190]),c_0_44]),c_0_360]),c_0_44]),c_0_190]),c_0_44]),c_0_44]),c_0_361]) ).

cnf(c_0_371,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))))) = mult(i(mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,op_d)))),
    inference(spm,[status(thm)],[c_0_196,c_0_362]) ).

cnf(c_0_372,plain,
    rd(mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_d)))),op_c) = mult(op_d,mult(mult(op_d,op_c),op_d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_363]),c_0_11]) ).

cnf(c_0_373,plain,
    mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,op_c))))) = op_d,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_332]),c_0_16]) ).

cnf(c_0_374,plain,
    mult(mult(op_d,mult(op_c,op_c)),op_d) = mult(op_d,mult(op_d,mult(op_c,op_c))),
    inference(rw,[status(thm)],[c_0_364,c_0_334]) ).

cnf(c_0_375,plain,
    rd(mult(op_c,op_c),i(mult(op_d,mult(op_c,op_c)))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_220]),c_0_276]),c_0_277]),c_0_44]),c_0_130]),c_0_11]),c_0_57]),c_0_15]) ).

cnf(c_0_376,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_240,c_0_365]),c_0_185]),c_0_95]),c_0_105]),c_0_359]),c_0_366]),c_0_58]),c_0_70]),c_0_25]),c_0_185]),c_0_95]),c_0_105]),c_0_26]),c_0_36]),c_0_53]),c_0_32]) ).

cnf(c_0_377,plain,
    rd(mult(X1,mult(X2,mult(X3,mult(X4,mult(X3,mult(X2,mult(X1,X5))))))),X5) = mult(X1,mult(X2,mult(X3,mult(X4,mult(X3,mult(X2,X1)))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_36]) ).

cnf(c_0_378,plain,
    rd(mult(op_d,op_d),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_86]),c_0_297]),c_0_41]),c_0_368]),c_0_281]),c_0_70]),c_0_58]),c_0_70]) ).

cnf(c_0_379,plain,
    rd(mult(X1,mult(X1,X2)),mult(X2,mult(X2,X1))) = rd(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_369]),c_0_122]) ).

cnf(c_0_380,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,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_269,c_0_370]),c_0_146]),c_0_130]),c_0_371]),c_0_53]),c_0_32]) ).

cnf(c_0_381,plain,
    rd(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),op_c) = mult(op_d,mult(mult(op_d,op_c),op_d)),
    inference(rw,[status(thm)],[c_0_372,c_0_332]) ).

cnf(c_0_382,plain,
    mult(mult(X1,X2),mult(X1,mult(X2,X2))) = mult(X1,mult(X2,mult(mult(X2,X1),X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_162]),c_0_214]) ).

cnf(c_0_383,plain,
    mult(i(mult(op_c,op_c)),mult(op_d,mult(op_c,op_c))) = op_d,
    inference(rw,[status(thm)],[c_0_285,c_0_373]) ).

cnf(c_0_384,plain,
    mult(i(mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,mult(op_d,op_d))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_176]),c_0_11]) ).

cnf(c_0_385,plain,
    mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_374]),c_0_179]),c_0_375]),c_0_95]) ).

cnf(c_0_386,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),i(mult(op_d,mult(op_d,mult(op_d,op_c))))) = mult(op_c,mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_376]),c_0_166]),c_0_33]),c_0_13]) ).

cnf(c_0_387,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(mult(op_c,mult(op_c,op_d)),mult(op_c,mult(op_c,op_c)))))) = rd(mult(op_c,op_d),op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_331]),c_0_53]),c_0_32]) ).

cnf(c_0_388,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,op_d)) = mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,op_d)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_378]),c_0_99]),c_0_90]),c_0_44]) ).

cnf(c_0_389,plain,
    rd(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(mult(op_d,op_c),mult(op_d,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_130]),c_0_130]),c_0_203]),c_0_53]),c_0_261]),c_0_381]),c_0_25]) ).

cnf(c_0_390,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_185]),c_0_44]),c_0_332]),c_0_44]),c_0_351]),c_0_384]),c_0_360]),c_0_334]),c_0_385]),c_0_303]) ).

cnf(c_0_391,plain,
    mult(mult(X1,mult(X2,mult(X1,X3))),mult(i(mult(X1,mult(X2,X1))),mult(mult(X1,mult(X2,mult(X1,X3))),X4))) = mult(mult(mult(X1,mult(X2,mult(X1,X3))),X3),X4),
    inference(spm,[status(thm)],[c_0_25,c_0_48]) ).

cnf(c_0_392,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_c,mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,i(op_c)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_386]),c_0_37]),c_0_342]),c_0_356]) ).

cnf(c_0_393,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_d,op_c)),
    inference(spm,[status(thm)],[c_0_19,c_0_329]) ).

cnf(c_0_394,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = mult(i(mult(op_c,op_c)),mult(op_d,op_d)),
    inference(spm,[status(thm)],[c_0_196,c_0_176]) ).

cnf(c_0_395,plain,
    mult(op_c,mult(op_c,mult(mult(op_c,mult(op_c,op_d)),mult(op_c,mult(op_c,op_c))))) = mult(mult(op_d,i(mult(op_c,op_c))),op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_387]),c_0_301]),c_0_322]) ).

cnf(c_0_396,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_358]),c_0_44]),c_0_77]),c_0_131]),c_0_58]),c_0_70]),c_0_25]),c_0_388]),c_0_44]),c_0_72]) ).

cnf(c_0_397,plain,
    rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1)))),X1) = mult(op_d,mult(op_d,mult(op_d,op_d))),
    inference(spm,[status(thm)],[c_0_16,c_0_66]) ).

cnf(c_0_398,plain,
    mult(i(X1),mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))) = i(mult(X1,mult(op_c,mult(op_c,op_c)))),
    inference(spm,[status(thm)],[c_0_15,c_0_63]) ).

cnf(c_0_399,plain,
    mult(op_d,mult(op_d,mult(mult(op_d,op_c),i(mult(op_d,mult(op_d,op_d)))))) = op_c,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_389]),c_0_36]),c_0_20]) ).

cnf(c_0_400,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_390]),c_0_223]),c_0_332]),c_0_351]) ).

cnf(c_0_401,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),i(op_c)) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,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_391,c_0_392]),c_0_240]),c_0_60]),c_0_11]),c_0_353]),c_0_25]) ).

cnf(c_0_402,plain,
    rd(mult(X1,mult(X2,mult(X3,mult(X2,mult(X1,X4))))),X4) = mult(X1,mult(X2,mult(X3,mult(X2,X1)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_25]),c_0_25]) ).

cnf(c_0_403,plain,
    mult(i(mult(op_c,mult(op_d,op_d))),mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))))) = mult(op_c,mult(op_d,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(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_224,c_0_393]),c_0_36]),c_0_394]),c_0_53]),c_0_32]),c_0_36]),c_0_189]),c_0_197]),c_0_36]),c_0_394]),c_0_53]),c_0_32]) ).

cnf(c_0_404,plain,
    rd(X1,mult(X2,mult(X3,mult(X4,mult(X3,mult(X2,X1)))))) = i(mult(X2,mult(X3,mult(X4,mult(X3,X2))))),
    inference(spm,[status(thm)],[c_0_18,c_0_36]) ).

cnf(c_0_405,plain,
    mult(op_c,mult(op_c,mult(mult(op_d,mult(op_c,op_c)),mult(op_c,mult(op_c,op_c))))) = mult(mult(op_d,i(mult(op_c,op_c))),op_c),
    inference(rw,[status(thm)],[c_0_395,c_0_332]) ).

cnf(c_0_406,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),
    inference(rw,[status(thm)],[c_0_198,c_0_207]) ).

cnf(c_0_407,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_396]),c_0_119]),c_0_70]),c_0_26]) ).

cnf(c_0_408,plain,
    rd(X1,mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_397]),c_0_26]) ).

cnf(c_0_409,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))))))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_26]),c_0_36]),c_0_66]) ).

cnf(c_0_410,plain,
    mult(mult(op_d,op_c),i(mult(op_d,mult(op_d,op_d)))) = mult(i(mult(op_d,op_d)),op_c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_399]),c_0_11]) ).

cnf(c_0_411,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_c))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_400]),c_0_401]),c_0_402]) ).

cnf(c_0_412,plain,
    mult(rd(op_c,mult(op_d,op_d)),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))) = mult(op_c,mult(op_c,mult(op_d,op_d))),
    inference(spm,[status(thm)],[c_0_257,c_0_403]) ).

cnf(c_0_413,plain,
    mult(i(op_d),mult(op_c,op_c)) = mult(op_c,mult(op_c,i(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_404,c_0_405]),c_0_18]),c_0_39]),c_0_310]),c_0_218]),c_0_58]),c_0_44]) ).

cnf(c_0_414,plain,
    mult(i(mult(op_d,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_c,op_c)))) = op_d,
    inference(spm,[status(thm)],[c_0_11,c_0_374]) ).

cnf(c_0_415,plain,
    mult(rd(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)),mult(op_c,mult(op_c,i(op_d)))) = mult(op_c,op_c),
    inference(spm,[status(thm)],[c_0_19,c_0_274]) ).

cnf(c_0_416,plain,
    mult(op_d,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_406]),c_0_95]),c_0_407]),c_0_408]),c_0_36]),c_0_409]),c_0_37]),c_0_37]),c_0_37]),c_0_37]),c_0_63]) ).

cnf(c_0_417,plain,
    mult(mult(op_d,op_c),mult(op_d,mult(op_d,i(op_c)))) = mult(op_d,mult(op_d,op_d)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_410]),c_0_58]),c_0_44]),c_0_28]) ).

cnf(c_0_418,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,i(op_c)))))) = mult(op_d,mult(op_d,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_411]),c_0_146]),c_0_130]),c_0_223]),c_0_223]),c_0_223]),c_0_57]),c_0_37]) ).

cnf(c_0_419,plain,
    rd(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))),mult(op_d,mult(op_d,op_c))) = mult(op_d,mult(op_d,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_412]),c_0_19]) ).

cnf(c_0_420,plain,
    mult(mult(op_c,mult(op_c,i(op_d))),op_d) = mult(op_c,op_c),
    inference(rw,[status(thm)],[c_0_348,c_0_413]) ).

cnf(c_0_421,plain,
    mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_414]),c_0_190]),c_0_37]),c_0_334]),c_0_374]) ).

cnf(c_0_422,plain,
    mult(mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,op_c))))),mult(op_c,mult(op_c,i(op_d)))) = mult(op_c,op_c),
    inference(rw,[status(thm)],[c_0_415,c_0_294]) ).

cnf(c_0_423,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,op_c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_416]),c_0_11]) ).

cnf(c_0_424,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(mult(op_d,op_c),mult(op_d,mult(op_d,op_d)))))) = rd(mult(op_d,op_c),mult(op_d,mult(op_d,op_d))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_389]),c_0_36]) ).

cnf(c_0_425,plain,
    mult(mult(op_d,op_c),mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_417]),c_0_418]) ).

cnf(c_0_426,plain,
    rd(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d)))))),mult(op_d,op_c)) = mult(op_d,mult(mult(op_d,mult(op_d,op_c)),op_d)),
    inference(spm,[status(thm)],[c_0_106,c_0_419]) ).

cnf(c_0_427,plain,
    mult(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_399]),c_0_185]),c_0_332]),c_0_179]),c_0_179]),c_0_34]),c_0_347]),c_0_413]),c_0_420]),c_0_374]),c_0_421]) ).

cnf(c_0_428,plain,
    mult(op_d,mult(op_c,mult(op_c,i(op_d)))) = mult(op_c,op_c),
    inference(rw,[status(thm)],[c_0_422,c_0_373]) ).

cnf(c_0_429,plain,
    mult(i(mult(X1,mult(X2,mult(X2,X1)))),X1) = i(mult(X1,mult(X2,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_85]),c_0_15]) ).

cnf(c_0_430,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),i(mult(op_d,op_c))) = mult(op_c,mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_423]),c_0_166]),c_0_33]),c_0_13]) ).

cnf(c_0_431,plain,
    rd(mult(X1,mult(X2,X2)),mult(X1,rd(X2,X1))) = mult(X1,X2),
    inference(spm,[status(thm)],[c_0_16,c_0_162]) ).

cnf(c_0_432,plain,
    rd(mult(op_d,op_c),mult(op_d,mult(op_d,op_d))) = mult(i(mult(op_d,op_d)),op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_425]),c_0_203]) ).

cnf(c_0_433,plain,
    rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))),mult(op_d,op_c)) = mult(op_d,mult(mult(op_d,mult(op_d,op_c)),op_d)),
    inference(rw,[status(thm)],[c_0_426,c_0_360]) ).

cnf(c_0_434,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,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_307,c_0_427]),c_0_203]),c_0_53]),c_0_413]),c_0_428]),c_0_16]) ).

cnf(c_0_435,plain,
    mult(mult(op_d,mult(rd(op_c,op_d),op_c)),i(mult(op_d,op_c))) = mult(mult(op_d,op_c),i(mult(op_d,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(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_429,c_0_430]),c_0_217]),c_0_58]),c_0_39]),c_0_158]),c_0_185]),c_0_135]),c_0_139]),c_0_135]),c_0_218]),c_0_53]),c_0_32]),c_0_58]) ).

cnf(c_0_436,plain,
    rd(mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,X4))))))),X4) = mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,X1)))))),
    inference(spm,[status(thm)],[c_0_16,c_0_183]) ).

cnf(c_0_437,plain,
    mult(op_d,mult(mult(op_d,mult(op_d,op_c)),op_d)) = mult(op_d,mult(op_d,mult(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_185]),c_0_332]),c_0_25]),c_0_25]),c_0_53]),c_0_32]),c_0_433]),c_0_25]) ).

cnf(c_0_438,plain,
    mult(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_434]),c_0_20]),c_0_37]),c_0_28]),c_0_44]) ).

cnf(c_0_439,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1))))))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_26]),c_0_36]),c_0_66]) ).

cnf(c_0_440,plain,
    mult(mult(op_d,mult(rd(op_c,op_d),op_c)),mult(i(mult(op_d,op_c)),mult(op_d,op_d))) = mult(op_d,op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_435]),c_0_39]),c_0_28]) ).

cnf(c_0_441,plain,
    mult(op_c,mult(op_c,mult(op_c,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,op_c)))))) = rd(mult(op_c,mult(op_c,mult(op_c,op_d))),op_c),
    inference(spm,[status(thm)],[c_0_436,c_0_100]) ).

cnf(c_0_442,plain,
    mult(mult(op_d,mult(op_d,op_c)),op_d) = mult(op_d,mult(op_d,mult(op_d,op_c))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_437]),c_0_11]) ).

cnf(c_0_443,plain,
    mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))))) = mult(mult(op_d,op_c),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_438]),c_0_185]),c_0_190]),c_0_190]),c_0_190]),c_0_190]),c_0_130]),c_0_130]),c_0_439]) ).

cnf(c_0_444,plain,
    mult(i(mult(op_d,op_c)),mult(op_d,mult(rd(op_c,op_d),op_c))) = mult(i(op_d),op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_440]),c_0_32]),c_0_60]) ).

cnf(c_0_445,plain,
    mult(mult(X1,mult(X2,mult(X3,mult(X3,mult(X2,X1))))),X4) = mult(X1,mult(X2,mult(X3,mult(X3,mult(X2,mult(X1,X4)))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_44]),c_0_44]) ).

cnf(c_0_446,plain,
    mult(i(mult(X1,mult(X1,mult(X2,mult(X1,X1))))),mult(X1,mult(X1,mult(X2,mult(X1,mult(X1,X3)))))) = X3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_44]),c_0_44]),c_0_44]) ).

cnf(c_0_447,plain,
    mult(op_c,mult(op_c,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,op_c))))) = mult(rd(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)),op_c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_441]),c_0_301]) ).

cnf(c_0_448,plain,
    rd(mult(op_d,mult(op_d,mult(op_d,op_c))),op_d) = mult(op_d,mult(op_d,op_c)),
    inference(spm,[status(thm)],[c_0_16,c_0_442]) ).

cnf(c_0_449,plain,
    mult(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))))) = mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
    inference(spm,[status(thm)],[c_0_190,c_0_438]) ).

cnf(c_0_450,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(mult(op_d,op_c),op_c))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_443]),c_0_20]),c_0_37]),c_0_28]),c_0_44]) ).

cnf(c_0_451,plain,
    mult(i(mult(op_d,op_c)),mult(op_d,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(rd(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_444]),c_0_61]),c_0_185]),c_0_76]),c_0_209]),c_0_130]),c_0_445]),c_0_11]),c_0_32]),c_0_32]) ).

cnf(c_0_452,plain,
    mult(mult(op_c,mult(op_c,i(mult(op_d,mult(op_c,op_c))))),mult(op_c,mult(op_c,mult(op_d,op_c)))) = mult(op_c,mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_423]),c_0_268]),c_0_24]),c_0_284]) ).

cnf(c_0_453,plain,
    mult(rd(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)),op_c) = mult(op_c,mult(op_c,mult(op_d,i(op_c)))),
    inference(rw,[status(thm)],[c_0_447,c_0_217]) ).

cnf(c_0_454,plain,
    mult(rd(mult(op_d,mult(op_d,op_c)),mult(op_d,op_d)),op_d) = mult(op_d,op_c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_448]),c_0_11]) ).

cnf(c_0_455,plain,
    mult(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(mult(op_d,op_c),op_c)))))),
    inference(rw,[status(thm)],[c_0_449,c_0_450]) ).

cnf(c_0_456,plain,
    mult(i(op_c),mult(mult(op_c,op_d),mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(rd(op_c,op_d),op_c))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_451]),c_0_102]) ).

cnf(c_0_457,plain,
    mult(mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,op_c))))),mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(op_c,mult(op_d,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_452]),c_0_154]),c_0_61]),c_0_285]) ).

cnf(c_0_458,plain,
    mult(i(mult(op_c,op_c)),mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,mult(op_d,op_c))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_148]),c_0_11]) ).

cnf(c_0_459,plain,
    mult(mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,op_c))))),op_c) = mult(op_c,mult(op_c,mult(op_d,i(op_c)))),
    inference(rw,[status(thm)],[c_0_453,c_0_294]) ).

cnf(c_0_460,plain,
    rd(mult(op_d,mult(op_d,op_c)),mult(op_d,op_d)) = rd(mult(op_d,op_c),op_d),
    inference(spm,[status(thm)],[c_0_16,c_0_454]) ).

cnf(c_0_461,plain,
    rd(mult(mult(op_d,op_c),op_c),mult(op_d,op_c)) = 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_455]),c_0_203]),c_0_53]),c_0_32]),c_0_438]),c_0_203]),c_0_53]),c_0_32]) ).

cnf(c_0_462,plain,
    mult(mult(op_d,op_c),mult(op_d,mult(rd(op_c,op_d),op_c))) = mult(op_d,mult(op_c,mult(op_c,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_60,c_0_444]),c_0_15]),c_0_185]),c_0_28]),c_0_130]),c_0_32]),c_0_28]) ).

cnf(c_0_463,plain,
    mult(op_c,mult(op_d,mult(op_d,mult(rd(op_c,op_d),op_c)))) = mult(mult(op_c,op_d),mult(op_c,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_456]),c_0_28]) ).

cnf(c_0_464,plain,
    mult(mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,op_c))))),mult(op_c,mult(op_c,mult(op_d,op_c)))) = mult(op_c,mult(op_c,mult(op_d,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_190,c_0_457]),c_0_190]),c_0_190]),c_0_458]),c_0_60]),c_0_11]) ).

cnf(c_0_465,plain,
    mult(op_c,mult(op_c,mult(op_d,op_c))) = mult(op_d,mult(op_c,mult(op_c,op_c))),
    inference(rw,[status(thm)],[c_0_457,c_0_373]) ).

cnf(c_0_466,plain,
    mult(op_c,mult(op_c,mult(op_d,i(op_c)))) = mult(op_d,op_c),
    inference(rw,[status(thm)],[c_0_459,c_0_373]) ).

cnf(c_0_467,plain,
    mult(op_d,rd(op_c,mult(op_d,op_d))) = mult(i(op_d),op_c),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_460]),c_0_114]),c_0_432]),c_0_53]) ).

cnf(c_0_468,plain,
    mult(mult(op_d,op_c),op_c) = mult(op_c,mult(op_d,op_c)),
    inference(spm,[status(thm)],[c_0_19,c_0_461]) ).

cnf(c_0_469,plain,
    mult(mult(op_d,op_c),mult(op_d,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_c,mult(mult(op_c,op_d),mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_462]),c_0_463]) ).

cnf(c_0_470,plain,
    mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c)))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_464,c_0_373]),c_0_465]) ).

cnf(c_0_471,plain,
    mult(op_c,mult(mult(i(op_c),mult(op_d,mult(op_d,op_c))),op_c)) = mult(op_d,mult(op_d,mult(op_c,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_466]),c_0_332]),c_0_34]),c_0_347]) ).

cnf(c_0_472,plain,
    mult(i(op_c),mult(op_d,mult(op_d,mult(op_c,op_c)))) = mult(op_c,mult(op_d,op_d)),
    inference(spm,[status(thm)],[c_0_11,c_0_360]) ).

cnf(c_0_473,plain,
    rd(op_c,mult(op_d,op_d)) = mult(i(mult(op_d,op_d)),op_c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_467]),c_0_61]) ).

cnf(c_0_474,plain,
    mult(mult(op_d,op_c),mult(op_c,mult(op_d,op_c))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_468]),c_0_465]) ).

cnf(c_0_475,plain,
    mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_c,mult(mult(op_c,op_d),mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_468]),c_0_25]),c_0_465]),c_0_465]),c_0_469]) ).

cnf(c_0_476,plain,
    mult(i(mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_d,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_470]),c_0_11]) ).

cnf(c_0_477,plain,
    mult(mult(i(op_c),mult(op_d,mult(op_d,op_c))),op_c) = mult(op_c,mult(op_d,op_d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_471]),c_0_472]) ).

cnf(c_0_478,plain,
    mult(i(op_c),mult(op_d,mult(op_d,op_c))) = mult(op_c,mult(op_d,mult(op_d,i(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_196,c_0_470]),c_0_223]),c_0_223]),c_0_57]),c_0_37]),c_0_60]) ).

cnf(c_0_479,plain,
    mult(mult(op_c,mult(op_d,op_d)),op_c) = mult(op_c,mult(op_d,mult(op_d,op_c))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_473]),c_0_44]),c_0_53]),c_0_32]),c_0_44]) ).

cnf(c_0_480,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c)))),i(mult(op_d,op_c))) = mult(op_c,mult(op_d,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_474]),c_0_16]),c_0_468]) ).

cnf(c_0_481,plain,
    mult(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))) = mult(op_c,mult(op_d,op_c)),
    inference(spm,[status(thm)],[c_0_11,c_0_474]) ).

cnf(c_0_482,plain,
    mult(i(mult(op_d,op_c)),mult(op_c,mult(op_d,op_c))) = op_c,
    inference(spm,[status(thm)],[c_0_11,c_0_468]) ).

cnf(c_0_483,plain,
    mult(op_c,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(mult(op_c,op_d),mult(op_c,op_c))))))))) = mult(op_d,mult(op_d,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_475]),c_0_223]),c_0_476]) ).

cnf(c_0_484,plain,
    mult(mult(op_c,mult(op_d,mult(op_d,i(op_c)))),op_c) = mult(op_c,mult(op_d,op_d)),
    inference(rw,[status(thm)],[c_0_477,c_0_478]) ).

cnf(c_0_485,plain,
    mult(i(mult(op_c,mult(op_d,op_d))),mult(op_c,mult(op_d,mult(op_d,op_c)))) = op_c,
    inference(spm,[status(thm)],[c_0_11,c_0_479]) ).

cnf(c_0_486,plain,
    mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c)))),op_c) = mult(op_d,mult(op_c,mult(mult(op_c,op_d),mult(op_c,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_185,c_0_480]),c_0_25]),c_0_465]),c_0_475]),c_0_481]),c_0_482]) ).

cnf(c_0_487,plain,
    mult(op_c,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(mult(op_c,op_d),mult(op_c,op_c)))))))),op_c)) = mult(op_d,mult(op_d,mult(op_c,op_c))),
    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_483]),c_0_347]),c_0_478]),c_0_484]),c_0_360]) ).

cnf(c_0_488,plain,
    mult(op_d,mult(op_c,mult(mult(op_c,op_d),mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_485]),c_0_470]),c_0_486]),c_0_130]),c_0_37]),c_0_37]),c_0_33]),c_0_13]),c_0_130]),c_0_361]) ).

cnf(c_0_489,plain,
    mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(mult(op_c,op_d),mult(op_c,op_c)))))))),op_c) = mult(op_c,mult(op_d,op_d)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_487]),c_0_472]) ).

cnf(c_0_490,plain,
    mult(op_c,mult(mult(op_c,op_d),mult(op_c,op_c))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_488]),c_0_11]) ).

cnf(c_0_491,plain,
    mult(op_c,mult(op_d,i(mult(op_c,op_c)))) = mult(i(op_c),op_d),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_332]),c_0_223]),c_0_57]),c_0_60]) ).

cnf(c_0_492,plain,
    mult(op_c,mult(op_d,op_d)) = mult(op_d,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)],[c_0_489,c_0_490]),c_0_218]),c_0_346]),c_0_491]),c_0_32]),c_0_44]) ).

cnf(c_0_493,plain,
    mult(op_d,mult(op_c,op_d)) = mult(op_d,mult(op_d,op_c)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_492]),c_0_448]) ).

cnf(c_0_494,negated_conjecture,
    mult(op_c,op_d) != mult(op_d,op_c),
    goals ).

cnf(c_0_495,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_493]),c_0_11]),c_0_494]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP690-1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.31  % Computer : n009.cluster.edu
% 0.13/0.31  % Model    : x86_64 x86_64
% 0.13/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31  % Memory   : 8042.1875MB
% 0.13/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31  % CPULimit   : 300
% 0.13/0.31  % WCLimit    : 300
% 0.13/0.31  % DateTime   : Mon May  4 19:02:26 EDT 2026
% 0.13/0.31  % CPUTime    : 
% 0.13/0.32  % start to proof: theBenchmark
% 264.57/71.41  % Version  : CSE_E---1.7
% 264.57/71.41  % Problem  : theBenchmark.p
% 264.57/71.41  % SZS status Unsatisfiable for theBenchmark.p
% 264.57/71.41  % SZS output start CNFRefutation
% See solution above
% 264.76/71.65  % Total time : 61.179s
%------------------------------------------------------------------------------