TSTP Solution File: GRP664+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GRP664+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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  : 600s
% DateTime : Sat Jul 16 08:40:07 EDT 2022

% Result   : Theorem 201.22s 26.68s
% Output   : CNFRefutation 201.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   51
%            Number of leaves      :   10
% Syntax   : Number of clauses     :  343 ( 340 unt;   0 nHn;  36 RR)
%            Number of literals    :  348 ( 347 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  638 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bs4whuuq/input.p',i_0_8) ).

cnf(i_0_3,plain,
    mult(rd(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bs4whuuq/input.p',i_0_3) ).

cnf(i_0_4,plain,
    rd(mult(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bs4whuuq/input.p',i_0_4) ).

cnf(i_0_6,plain,
    mult(unit,X1) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bs4whuuq/input.p',i_0_6) ).

cnf(i_0_2,plain,
    ld(X1,mult(X1,X2)) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bs4whuuq/input.p',i_0_2) ).

cnf(i_0_1,plain,
    mult(X1,ld(X1,X2)) = X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bs4whuuq/input.p',i_0_1) ).

cnf(i_0_7,plain,
    mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bs4whuuq/input.p',i_0_7) ).

cnf(i_0_5,plain,
    mult(X1,unit) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bs4whuuq/input.p',i_0_5) ).

cnf(i_0_10,negated_conjecture,
    mult(esk1_0,esk2_0) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bs4whuuq/input.p',i_0_10) ).

cnf(i_0_9,negated_conjecture,
    ( mult(mult(esk3_0,esk4_0),mult(esk2_0,esk1_0)) != mult(esk3_0,mult(esk4_0,mult(esk2_0,esk1_0)))
    | mult(mult(mult(esk2_0,esk1_0),esk3_0),esk4_0) != mult(mult(esk2_0,esk1_0),mult(esk3_0,esk4_0))
    | mult(mult(esk3_0,mult(esk2_0,esk1_0)),esk4_0) != mult(esk3_0,mult(mult(esk2_0,esk1_0),esk4_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bs4whuuq/input.p',i_0_9) ).

cnf(c_0_21,plain,
    mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
    i_0_8 ).

cnf(c_0_22,plain,
    mult(rd(X1,X2),X2) = X1,
    i_0_3 ).

cnf(c_0_23,plain,
    rd(mult(X1,X2),X2) = X1,
    i_0_4 ).

cnf(c_0_24,plain,
    mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,rd(X3,X2)),X2),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,plain,
    rd(mult(mult(X1,rd(X2,X3)),X3),ld(X3,X2)) = mult(X1,X3),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_26,plain,
    rd(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,rd(X3,X2)),X2),
    inference(spm,[status(thm)],[c_0_25,c_0_22]) ).

cnf(c_0_27,plain,
    mult(unit,X1) = X1,
    i_0_6 ).

cnf(c_0_28,plain,
    mult(rd(unit,rd(X1,X2)),X2) = rd(X2,ld(X2,X1)),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,plain,
    ld(X1,mult(X1,X2)) = X2,
    i_0_2 ).

cnf(c_0_30,plain,
    rd(rd(X1,ld(X1,X2)),X1) = rd(unit,rd(X2,X1)),
    inference(spm,[status(thm)],[c_0_23,c_0_28]) ).

cnf(c_0_31,plain,
    mult(mult(rd(X1,X2),rd(X3,X2)),X2) = mult(X1,ld(X2,X3)),
    inference(spm,[status(thm)],[c_0_24,c_0_22]) ).

cnf(c_0_32,plain,
    ld(rd(X1,X2),X1) = X2,
    inference(spm,[status(thm)],[c_0_29,c_0_22]) ).

cnf(c_0_33,plain,
    rd(unit,rd(mult(X1,X2),X1)) = rd(rd(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_34,plain,
    mult(X1,ld(X1,X2)) = X2,
    i_0_1 ).

cnf(c_0_35,plain,
    mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)),
    i_0_7 ).

cnf(c_0_36,plain,
    rd(mult(X1,ld(X2,X3)),X2) = mult(rd(X1,X2),rd(X3,X2)),
    inference(spm,[status(thm)],[c_0_23,c_0_31]) ).

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

cnf(c_0_38,plain,
    rd(X1,ld(X2,X1)) = X2,
    inference(spm,[status(thm)],[c_0_23,c_0_34]) ).

cnf(c_0_39,plain,
    rd(mult(X1,mult(X2,X3)),mult(X1,X3)) = rd(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_23,c_0_35]) ).

cnf(c_0_40,plain,
    mult(rd(unit,X1),rd(X2,X1)) = rd(ld(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_36,c_0_27]) ).

cnf(c_0_41,plain,
    rd(mult(X1,ld(X2,X1)),X1) = ld(rd(X2,X1),unit),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1),
    inference(spm,[status(thm)],[c_0_39,c_0_34]) ).

cnf(c_0_43,plain,
    mult(X1,unit) = X1,
    i_0_5 ).

cnf(c_0_44,plain,
    mult(X1,mult(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X1),X3),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_45,plain,
    mult(rd(unit,X1),ld(rd(X2,X1),unit)) = rd(ld(X2,X1),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_29]) ).

cnf(c_0_46,plain,
    rd(mult(rd(X1,X2),X3),rd(X1,X2)) = rd(mult(rd(X1,X2),mult(X3,X2)),X1),
    inference(spm,[status(thm)],[c_0_39,c_0_22]) ).

cnf(c_0_47,plain,
    ld(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,ld(X2,X3)),
    inference(spm,[status(thm)],[c_0_32,c_0_42]) ).

cnf(c_0_48,plain,
    mult(mult(X1,rd(mult(X2,X3),X2)),X2) = mult(mult(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_24,c_0_29]) ).

cnf(c_0_49,plain,
    rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    mult(rd(X1,X2),rd(ld(X1,X2),X2)) = rd(rd(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_22]),c_0_43]),c_0_43]) ).

cnf(c_0_51,plain,
    mult(X1,ld(X2,ld(X1,X3))) = ld(rd(mult(X1,X2),X1),X3),
    inference(spm,[status(thm)],[c_0_47,c_0_34]) ).

cnf(c_0_52,plain,
    mult(rd(X1,rd(mult(X2,X3),X2)),X2) = rd(mult(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_26,c_0_29]) ).

cnf(c_0_53,plain,
    rd(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),mult(X1,X3)),
    inference(spm,[status(thm)],[c_0_39,c_0_22]) ).

cnf(c_0_54,plain,
    mult(X1,rd(mult(X2,X3),X2)) = rd(mult(mult(X1,X2),X3),X2),
    inference(spm,[status(thm)],[c_0_23,c_0_48]) ).

cnf(c_0_55,plain,
    ld(rd(mult(X1,X2),X1),X1) = mult(X1,ld(X2,unit)),
    inference(spm,[status(thm)],[c_0_32,c_0_49]) ).

cnf(c_0_56,plain,
    ld(rd(mult(X1,X2),X1),X2) = mult(rd(rd(X1,X2),X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_50]),c_0_51]) ).

cnf(c_0_57,plain,
    rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)),
    inference(spm,[status(thm)],[c_0_23,c_0_52]) ).

cnf(c_0_58,plain,
    rd(rd(mult(mult(X1,X2),X3),X2),X1) = rd(mult(X1,mult(X2,X3)),mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_59,plain,
    mult(X1,ld(ld(X1,X2),unit)) = ld(rd(X2,X1),X1),
    inference(spm,[status(thm)],[c_0_55,c_0_34]) ).

cnf(c_0_60,plain,
    rd(X1,mult(rd(rd(X2,X1),X2),X1)) = rd(mult(X2,X1),X2),
    inference(spm,[status(thm)],[c_0_38,c_0_56]) ).

cnf(c_0_61,plain,
    rd(mult(X1,X2),rd(mult(X1,X2),X1)) = rd(mult(X1,mult(X2,X1)),mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_62,plain,
    mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_63,plain,
    ld(X1,ld(rd(X2,X1),X1)) = ld(ld(X1,X2),unit),
    inference(spm,[status(thm)],[c_0_29,c_0_59]) ).

cnf(c_0_64,plain,
    rd(X1,rd(X1,rd(mult(X2,X1),X2))) = rd(mult(X1,mult(X2,X1)),mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_52]),c_0_22]),c_0_57]),c_0_22]),c_0_61]) ).

cnf(c_0_65,plain,
    ld(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,ld(rd(X2,X3),unit)),
    inference(spm,[status(thm)],[c_0_55,c_0_53]) ).

cnf(c_0_66,plain,
    ld(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(ld(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_29,c_0_62]) ).

cnf(c_0_67,plain,
    ld(ld(X1,mult(X2,X1)),unit) = ld(X1,ld(X2,X1)),
    inference(spm,[status(thm)],[c_0_63,c_0_23]) ).

cnf(c_0_68,plain,
    mult(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,rd(X2,X3)),
    inference(spm,[status(thm)],[c_0_22,c_0_53]) ).

cnf(c_0_69,plain,
    mult(X1,ld(rd(mult(X2,X1),X2),unit)) = rd(X1,rd(mult(X2,X1),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_64]),c_0_65]) ).

cnf(c_0_70,plain,
    mult(ld(X1,X2),ld(rd(X2,X1),X3)) = ld(X1,mult(rd(X2,rd(X2,X1)),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_44]),c_0_22]) ).

cnf(c_0_71,plain,
    rd(unit,ld(X1,ld(X2,X1))) = ld(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_38,c_0_67]) ).

cnf(c_0_72,plain,
    mult(X1,rd(ld(X1,X2),X3)) = mult(rd(X2,mult(X1,X3)),X1),
    inference(spm,[status(thm)],[c_0_68,c_0_34]) ).

cnf(c_0_73,plain,
    rd(ld(X1,X2),rd(X2,X1)) = ld(X1,rd(X2,rd(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_34]),c_0_70]),c_0_43]) ).

cnf(c_0_74,negated_conjecture,
    mult(esk1_0,esk2_0) = unit,
    i_0_10 ).

cnf(c_0_75,plain,
    rd(ld(X1,mult(X2,X1)),X1) = mult(rd(unit,X1),X2),
    inference(spm,[status(thm)],[c_0_40,c_0_23]) ).

cnf(c_0_76,plain,
    ld(X1,mult(rd(X1,X2),X1)) = rd(unit,ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_71,c_0_32]) ).

cnf(c_0_77,plain,
    mult(rd(rd(X1,X2),rd(X3,X2)),X2) = rd(X1,ld(X2,X3)),
    inference(spm,[status(thm)],[c_0_26,c_0_22]) ).

cnf(c_0_78,plain,
    ld(mult(X1,X2),mult(mult(X1,rd(X3,X2)),X2)) = ld(X2,X3),
    inference(spm,[status(thm)],[c_0_29,c_0_24]) ).

cnf(c_0_79,plain,
    mult(rd(X1,mult(X2,rd(X1,X2))),X2) = rd(X1,rd(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_34]) ).

cnf(c_0_80,negated_conjecture,
    ld(esk2_0,mult(X1,esk2_0)) = mult(mult(esk1_0,X1),esk2_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_74]),c_0_27]) ).

cnf(c_0_81,plain,
    rd(rd(unit,ld(X1,X2)),X1) = mult(rd(unit,X1),rd(X1,X2)),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_82,plain,
    rd(rd(X1,ld(X2,X3)),X2) = rd(rd(X1,X2),rd(X3,X2)),
    inference(spm,[status(thm)],[c_0_23,c_0_77]) ).

cnf(c_0_83,plain,
    ld(mult(X1,X2),mult(mult(X1,X3),X2)) = ld(X2,mult(X3,X2)),
    inference(spm,[status(thm)],[c_0_78,c_0_23]) ).

cnf(c_0_84,plain,
    rd(rd(X1,rd(X1,X2)),X2) = rd(X1,mult(X2,rd(X1,X2))),
    inference(spm,[status(thm)],[c_0_23,c_0_79]) ).

cnf(c_0_85,plain,
    ld(X1,rd(mult(mult(X1,X2),X3),X2)) = rd(mult(X2,X3),X2),
    inference(spm,[status(thm)],[c_0_29,c_0_54]) ).

cnf(c_0_86,plain,
    mult(esk2_0,mult(mult(esk1_0,X1),esk2_0)) = mult(X1,esk2_0),
    inference(spm,[status(thm)],[c_0_34,c_0_80]) ).

cnf(c_0_87,plain,
    rd(rd(unit,X1),rd(X2,X1)) = mult(rd(unit,X1),rd(X1,X2)),
    inference(rw,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_88,plain,
    rd(X1,ld(X1,mult(X2,X1))) = mult(rd(unit,X2),X1),
    inference(spm,[status(thm)],[c_0_28,c_0_23]) ).

cnf(c_0_89,plain,
    ld(X1,mult(ld(X2,X3),X1)) = ld(mult(X2,X1),mult(X3,X1)),
    inference(spm,[status(thm)],[c_0_83,c_0_34]) ).

cnf(c_0_90,plain,
    rd(X1,rd(mult(X2,X1),X2)) = rd(mult(X1,X2),mult(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_84]),c_0_23]),c_0_23]) ).

cnf(c_0_91,plain,
    ld(rd(X1,X2),rd(mult(X1,X3),X2)) = rd(mult(X2,X3),X2),
    inference(spm,[status(thm)],[c_0_85,c_0_22]) ).

cnf(c_0_92,negated_conjecture,
    rd(mult(esk1_0,X1),esk1_0) = mult(esk1_0,mult(X1,esk2_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_74]),c_0_43]) ).

cnf(c_0_93,plain,
    mult(ld(esk1_0,X1),esk2_0) = mult(esk2_0,mult(X1,esk2_0)),
    inference(spm,[status(thm)],[c_0_86,c_0_34]) ).

cnf(c_0_94,plain,
    rd(X1,rd(X2,ld(X1,unit))) = mult(rd(unit,mult(X1,X2)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_38]),c_0_72]) ).

cnf(c_0_95,plain,
    ld(mult(rd(unit,X1),X2),X2) = ld(X2,mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_32,c_0_88]) ).

cnf(c_0_96,plain,
    mult(X1,ld(mult(X2,X1),mult(X3,X1))) = mult(ld(X2,X3),X1),
    inference(spm,[status(thm)],[c_0_34,c_0_89]) ).

cnf(c_0_97,plain,
    ld(X1,rd(X2,rd(X2,X1))) = rd(mult(ld(X1,X2),X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_34]),c_0_73]) ).

cnf(c_0_98,plain,
    ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2),
    inference(spm,[status(thm)],[c_0_91,c_0_34]) ).

cnf(c_0_99,plain,
    rd(X1,esk1_0) = mult(esk1_0,mult(esk2_0,mult(X1,esk2_0))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_34]),c_0_93]) ).

cnf(c_0_100,plain,
    rd(mult(X1,ld(mult(X2,X1),X3)),X1) = ld(X2,rd(X3,X1)),
    inference(spm,[status(thm)],[c_0_85,c_0_34]) ).

cnf(c_0_101,plain,
    ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_94]),c_0_95]) ).

cnf(c_0_102,plain,
    mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))),
    inference(spm,[status(thm)],[c_0_96,c_0_22]) ).

cnf(c_0_103,plain,
    rd(ld(X1,X2),rd(X2,X1)) = rd(mult(ld(X1,X2),X1),X2),
    inference(rw,[status(thm)],[c_0_73,c_0_97]) ).

cnf(c_0_104,plain,
    rd(mult(mult(X1,X2),ld(X3,X2)),X2) = mult(X1,ld(rd(X3,X2),unit)),
    inference(spm,[status(thm)],[c_0_54,c_0_41]) ).

cnf(c_0_105,plain,
    rd(mult(X1,ld(X2,mult(X3,X1))),X1) = ld(rd(X2,X1),X3),
    inference(spm,[status(thm)],[c_0_98,c_0_23]) ).

cnf(c_0_106,plain,
    mult(esk1_0,mult(esk2_0,mult(mult(X1,esk1_0),esk2_0))) = X1,
    inference(spm,[status(thm)],[c_0_23,c_0_99]) ).

cnf(c_0_107,plain,
    mult(mult(rd(unit,X1),X2),X1) = ld(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_22,c_0_75]) ).

cnf(c_0_108,plain,
    mult(rd(unit,X1),ld(X2,rd(X3,X1))) = rd(ld(mult(X2,X1),X3),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_100]),c_0_29]) ).

cnf(c_0_109,plain,
    rd(ld(X1,ld(X2,X3)),ld(X2,unit)) = ld(mult(X2,X1),mult(X3,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_51]),c_0_102]),c_0_29]) ).

cnf(c_0_110,plain,
    ld(rd(mult(ld(X1,X2),X1),X2),ld(X1,X2)) = rd(X2,X1),
    inference(spm,[status(thm)],[c_0_32,c_0_103]) ).

cnf(c_0_111,plain,
    mult(X1,rd(mult(ld(X1,X2),X1),X2)) = rd(X2,rd(X2,X1)),
    inference(spm,[status(thm)],[c_0_34,c_0_97]) ).

cnf(c_0_112,plain,
    mult(X1,rd(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X3),X1),
    inference(spm,[status(thm)],[c_0_68,c_0_34]) ).

cnf(c_0_113,plain,
    mult(mult(X1,ld(rd(X2,X3),unit)),X3) = mult(mult(X1,X3),ld(X2,X3)),
    inference(spm,[status(thm)],[c_0_22,c_0_104]) ).

cnf(c_0_114,plain,
    rd(rd(X1,ld(X2,mult(X3,X1))),X1) = rd(unit,ld(rd(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_33,c_0_105]) ).

cnf(c_0_115,plain,
    ld(esk1_0,X1) = mult(esk2_0,mult(mult(X1,esk1_0),esk2_0)),
    inference(spm,[status(thm)],[c_0_29,c_0_106]) ).

cnf(c_0_116,plain,
    ld(X1,mult(ld(rd(unit,X1),X2),X1)) = mult(X2,X1),
    inference(spm,[status(thm)],[c_0_107,c_0_34]) ).

cnf(c_0_117,plain,
    rd(rd(ld(X1,X2),X1),rd(X2,X1)) = rd(unit,X1),
    inference(spm,[status(thm)],[c_0_23,c_0_40]) ).

cnf(c_0_118,plain,
    mult(X1,rd(ld(mult(X1,X2),X3),X2)) = mult(rd(X1,mult(X1,X2)),rd(X3,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_108]),c_0_53]),c_0_43]) ).

cnf(c_0_119,plain,
    mult(rd(X1,X2),rd(ld(X1,X3),X2)) = rd(ld(rd(mult(X1,X2),X1),X3),X2),
    inference(spm,[status(thm)],[c_0_36,c_0_51]) ).

cnf(c_0_120,plain,
    ld(rd(X1,rd(X1,X2)),mult(X1,X2)) = rd(rd(X1,X2),ld(X2,unit)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).

cnf(c_0_121,plain,
    ld(X1,mult(rd(mult(X1,X2),X3),X1)) = rd(X2,ld(X1,X3)),
    inference(spm,[status(thm)],[c_0_29,c_0_112]) ).

cnf(c_0_122,plain,
    mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)),
    inference(spm,[status(thm)],[c_0_22,c_0_100]) ).

cnf(c_0_123,plain,
    mult(mult(X1,ld(rd(X2,X3),X4)),X3) = mult(mult(X1,X3),ld(X2,mult(X4,X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_32]),c_0_32]) ).

cnf(c_0_124,plain,
    mult(esk2_0,mult(mult(mult(esk1_0,X1),esk1_0),esk2_0)) = X1,
    inference(spm,[status(thm)],[c_0_29,c_0_115]) ).

cnf(c_0_125,plain,
    mult(mult(esk1_0,mult(esk2_0,mult(X1,esk2_0))),esk1_0) = X1,
    inference(spm,[status(thm)],[c_0_22,c_0_99]) ).

cnf(c_0_126,negated_conjecture,
    rd(unit,esk2_0) = esk1_0,
    inference(spm,[status(thm)],[c_0_23,c_0_74]) ).

cnf(c_0_127,plain,
    mult(ld(rd(unit,X1),X2),X1) = mult(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_34,c_0_116]) ).

cnf(c_0_128,plain,
    rd(rd(X1,X2),rd(mult(X2,X1),X2)) = rd(unit,X2),
    inference(spm,[status(thm)],[c_0_117,c_0_29]) ).

cnf(c_0_129,plain,
    rd(ld(rd(mult(X1,X2),X1),X3),X2) = mult(rd(rd(X1,X2),X1),rd(X3,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_22]),c_0_119]) ).

cnf(c_0_130,plain,
    ld(rd(X1,X2),mult(X1,ld(X2,X1))) = rd(X2,ld(ld(X2,X1),unit)),
    inference(spm,[status(thm)],[c_0_120,c_0_38]) ).

cnf(c_0_131,plain,
    rd(rd(X1,X2),rd(X3,X2)) = mult(rd(unit,X2),rd(mult(X2,X1),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_121]),c_0_82]) ).

cnf(c_0_132,plain,
    rd(X1,unit) = X1,
    inference(spm,[status(thm)],[c_0_43,c_0_22]) ).

cnf(c_0_133,plain,
    mult(rd(rd(X1,X2),X3),mult(X3,X2)) = mult(X3,mult(X2,ld(mult(X3,X2),X1))),
    inference(spm,[status(thm)],[c_0_62,c_0_122]) ).

cnf(c_0_134,plain,
    mult(mult(X1,X2),ld(mult(X2,X1),X2)) = rd(mult(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_69]),c_0_52]),c_0_27]) ).

cnf(c_0_135,plain,
    mult(X1,ld(X2,mult(X3,X2))) = mult(mult(rd(X1,X2),X3),X2),
    inference(spm,[status(thm)],[c_0_31,c_0_23]) ).

cnf(c_0_136,plain,
    ld(esk2_0,X1) = mult(mult(mult(esk1_0,X1),esk1_0),esk2_0),
    inference(spm,[status(thm)],[c_0_29,c_0_124]) ).

cnf(c_0_137,plain,
    mult(mult(esk1_0,mult(X1,esk2_0)),esk1_0) = mult(esk1_0,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_107]),c_0_80]),c_0_86]),c_0_126]) ).

cnf(c_0_138,plain,
    ld(mult(esk1_0,mult(esk2_0,esk2_0)),X1) = mult(esk1_0,mult(mult(X1,esk1_0),esk2_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_127]),c_0_86]),c_0_99]),c_0_27]) ).

cnf(c_0_139,plain,
    rd(X1,esk2_0) = mult(mult(esk1_0,mult(esk2_0,X1)),esk1_0),
    inference(spm,[status(thm)],[c_0_125,c_0_22]) ).

cnf(c_0_140,plain,
    rd(X1,rd(mult(X2,mult(X1,X2)),X2)) = rd(unit,X2),
    inference(spm,[status(thm)],[c_0_128,c_0_23]) ).

cnf(c_0_141,negated_conjecture,
    rd(mult(X1,esk1_0),X1) = rd(X1,mult(X1,esk2_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_74]),c_0_43]) ).

cnf(c_0_142,plain,
    mult(X1,mult(X2,ld(mult(X1,X2),X1))) = mult(rd(unit,X2),mult(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_29]),c_0_82]),c_0_131]),c_0_132]),c_0_29]),c_0_23]),c_0_133]) ).

cnf(c_0_143,plain,
    ld(mult(X1,X2),rd(mult(X1,X2),X1)) = ld(mult(X2,X1),X2),
    inference(spm,[status(thm)],[c_0_29,c_0_134]) ).

cnf(c_0_144,plain,
    ld(X1,mult(rd(mult(X1,X2),X1),X3)) = mult(X2,ld(X1,X3)),
    inference(spm,[status(thm)],[c_0_29,c_0_44]) ).

cnf(c_0_145,plain,
    rd(ld(X1,mult(X2,X1)),X2) = ld(X1,rd(mult(X2,X1),X2)),
    inference(spm,[status(thm)],[c_0_73,c_0_23]) ).

cnf(c_0_146,plain,
    ld(X1,mult(mult(rd(X1,X2),X3),X2)) = ld(X2,mult(X3,X2)),
    inference(spm,[status(thm)],[c_0_29,c_0_135]) ).

cnf(c_0_147,plain,
    rd(esk2_0,mult(mult(esk1_0,X1),esk2_0)) = mult(rd(unit,X1),esk2_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_136]),c_0_137]) ).

cnf(c_0_148,negated_conjecture,
    mult(mult(esk1_0,mult(esk2_0,esk1_0)),esk2_0) = mult(esk1_0,mult(mult(esk2_0,esk1_0),esk2_0)),
    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_56,c_0_74]),c_0_99]),c_0_27]),c_0_138]),c_0_139]),c_0_23]) ).

cnf(c_0_149,plain,
    rd(X1,mult(esk1_0,mult(mult(X1,esk1_0),esk2_0))) = mult(esk1_0,mult(esk2_0,esk2_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_99]),c_0_86]),c_0_99]),c_0_27]) ).

cnf(c_0_150,negated_conjecture,
    rd(unit,mult(esk1_0,ld(X1,esk2_0))) = mult(esk1_0,mult(X1,esk2_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_74]),c_0_99]),c_0_86]) ).

cnf(c_0_151,plain,
    mult(esk1_0,mult(rd(X1,X2),esk2_0)) = rd(mult(esk1_0,X1),mult(esk1_0,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_53]),c_0_86]) ).

cnf(c_0_152,plain,
    mult(rd(X1,mult(X1,esk2_0)),X1) = mult(X1,esk1_0),
    inference(spm,[status(thm)],[c_0_22,c_0_141]) ).

cnf(c_0_153,plain,
    ld(X1,mult(rd(unit,X2),mult(X2,X1))) = mult(X2,ld(mult(X1,X2),X1)),
    inference(spm,[status(thm)],[c_0_29,c_0_142]) ).

cnf(c_0_154,plain,
    ld(mult(ld(X1,X2),X1),ld(X1,X2)) = ld(X2,rd(X2,X1)),
    inference(spm,[status(thm)],[c_0_143,c_0_34]) ).

cnf(c_0_155,plain,
    ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1),
    inference(spm,[status(thm)],[c_0_95,c_0_38]) ).

cnf(c_0_156,plain,
    ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,unit)),
    inference(spm,[status(thm)],[c_0_144,c_0_43]) ).

cnf(c_0_157,plain,
    mult(X1,ld(mult(X2,X1),mult(X1,X2))) = ld(X2,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_145]),c_0_122]) ).

cnf(c_0_158,plain,
    ld(ld(X1,X2),mult(X3,ld(X1,X2))) = ld(X2,mult(mult(X1,X3),ld(X1,X2))),
    inference(spm,[status(thm)],[c_0_146,c_0_38]) ).

cnf(c_0_159,negated_conjecture,
    mult(esk2_0,ld(mult(X1,esk2_0),unit)) = mult(ld(X1,esk1_0),esk2_0),
    inference(spm,[status(thm)],[c_0_96,c_0_74]) ).

cnf(c_0_160,plain,
    mult(rd(unit,mult(esk2_0,esk1_0)),esk2_0) = mult(esk1_0,mult(esk2_0,esk2_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]) ).

cnf(c_0_161,plain,
    ld(mult(esk1_0,mult(X1,esk2_0)),unit) = mult(esk1_0,ld(X1,esk2_0)),
    inference(spm,[status(thm)],[c_0_32,c_0_150]) ).

cnf(c_0_162,plain,
    ld(X1,X1) = unit,
    inference(spm,[status(thm)],[c_0_29,c_0_43]) ).

cnf(c_0_163,plain,
    rd(unit,mult(esk1_0,mult(esk2_0,esk2_0))) = mult(esk1_0,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_74]) ).

cnf(c_0_164,plain,
    ld(ld(X1,X2),mult(rd(unit,X1),X2)) = mult(X1,ld(X2,rd(X2,X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_34]),c_0_154]) ).

cnf(c_0_165,plain,
    mult(X1,ld(mult(X2,X1),X1)) = mult(ld(X2,unit),X1),
    inference(spm,[status(thm)],[c_0_34,c_0_155]) ).

cnf(c_0_166,plain,
    mult(X1,ld(ld(X1,X2),X3)) = ld(rd(X2,X1),mult(X1,X3)),
    inference(spm,[status(thm)],[c_0_47,c_0_34]) ).

cnf(c_0_167,plain,
    ld(X1,ld(rd(X2,X1),X3)) = mult(ld(X2,mult(X3,X1)),ld(X1,unit)),
    inference(spm,[status(thm)],[c_0_156,c_0_105]) ).

cnf(c_0_168,plain,
    ld(X1,ld(X2,mult(X1,X2))) = ld(mult(X2,X1),mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_29,c_0_157]) ).

cnf(c_0_169,plain,
    ld(X1,mult(mult(X2,rd(X1,X2)),X2)) = ld(ld(X2,X1),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_34]),c_0_24]) ).

cnf(c_0_170,plain,
    mult(ld(ld(X1,X2),X2),ld(X1,X3)) = ld(ld(X1,X2),mult(rd(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_70,c_0_38]) ).

cnf(c_0_171,negated_conjecture,
    ld(esk1_0,unit) = esk2_0,
    inference(spm,[status(thm)],[c_0_29,c_0_74]) ).

cnf(c_0_172,negated_conjecture,
    mult(ld(rd(unit,mult(esk2_0,esk1_0)),esk1_0),esk2_0) = mult(esk2_0,esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_162]),c_0_43]) ).

cnf(c_0_173,plain,
    ld(ld(rd(X1,X2),X3),X2) = mult(X2,ld(ld(X1,mult(X3,X2)),unit)),
    inference(spm,[status(thm)],[c_0_55,c_0_105]) ).

cnf(c_0_174,plain,
    ld(unit,X1) = X1,
    inference(spm,[status(thm)],[c_0_27,c_0_34]) ).

cnf(c_0_175,plain,
    ld(mult(esk1_0,mult(esk2_0,esk1_0)),unit) = mult(esk1_0,mult(esk2_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_32,c_0_163]) ).

cnf(c_0_176,plain,
    ld(mult(rd(X1,X2),X3),mult(X1,X3)) = ld(X3,mult(X2,X3)),
    inference(spm,[status(thm)],[c_0_83,c_0_22]) ).

cnf(c_0_177,plain,
    ld(mult(X1,ld(X2,unit)),rd(X1,X2)) = mult(X2,ld(X1,rd(X1,X2))),
    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_156]),c_0_40]),c_0_29]),c_0_98]),c_0_143]),c_0_100]) ).

cnf(c_0_178,plain,
    ld(ld(X1,unit),ld(mult(X1,X2),X2)) = mult(X1,ld(mult(X1,X2),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_165]),c_0_23]),c_0_38]),c_0_23]) ).

cnf(c_0_179,plain,
    rd(ld(rd(X1,X2),mult(X2,X1)),X2) = ld(rd(X1,X2),mult(X2,rd(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_40]),c_0_98]),c_0_166]) ).

cnf(c_0_180,plain,
    ld(ld(X1,X2),rd(X2,X1)) = ld(X2,mult(X1,rd(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_22]),c_0_169]),c_0_170]),c_0_43]) ).

cnf(c_0_181,negated_conjecture,
    mult(mult(X1,mult(esk1_0,mult(esk2_0,esk2_0))),esk1_0) = mult(mult(X1,esk1_0),esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_171]),c_0_99]),c_0_27]) ).

cnf(c_0_182,plain,
    mult(mult(esk2_0,esk1_0),mult(esk1_0,mult(esk2_0,esk2_0))) = esk2_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_172]),c_0_173]),c_0_174]),c_0_175]) ).

cnf(c_0_183,plain,
    mult(esk2_0,ld(mult(mult(esk1_0,X1),esk2_0),unit)) = ld(X1,esk2_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_86]),c_0_23]) ).

cnf(c_0_184,negated_conjecture,
    ld(mult(rd(esk1_0,X1),esk2_0),unit) = mult(mult(esk1_0,X1),esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_74]),c_0_136]),c_0_137]) ).

cnf(c_0_185,plain,
    ld(mult(mult(X1,rd(unit,X2)),X2),X1) = mult(X2,ld(mult(X1,X2),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_23]),c_0_24]) ).

cnf(c_0_186,plain,
    mult(mult(rd(mult(X1,X2),X3),rd(X3,X1)),X1) = mult(X3,ld(ld(X1,X3),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_34]),c_0_112]),c_0_24]) ).

cnf(c_0_187,plain,
    mult(X1,mult(rd(X2,ld(X1,X3)),X4)) = mult(rd(mult(X1,X2),X3),mult(X1,X4)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_112]),c_0_23]) ).

cnf(c_0_188,plain,
    mult(rd(unit,ld(X1,X2)),rd(X2,X1)) = ld(X2,mult(X1,rd(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_178,c_0_40]),c_0_32]),c_0_98]),c_0_166]),c_0_179]),c_0_167]),c_0_169]),c_0_170]),c_0_43]),c_0_98]),c_0_166]),c_0_179]),c_0_135]),c_0_131]),c_0_43]),c_0_107]),c_0_76]),c_0_180]) ).

cnf(c_0_189,plain,
    rd(ld(X1,X2),ld(ld(X1,X2),X2)) = mult(rd(unit,X1),ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_28,c_0_38]) ).

cnf(c_0_190,plain,
    ld(mult(esk1_0,mult(X1,esk2_0)),mult(esk1_0,X1)) = esk1_0,
    inference(spm,[status(thm)],[c_0_29,c_0_137]) ).

cnf(c_0_191,negated_conjecture,
    mult(rd(unit,mult(esk1_0,X1)),esk1_0) = mult(esk1_0,rd(esk2_0,X1)),
    inference(spm,[status(thm)],[c_0_68,c_0_74]) ).

cnf(c_0_192,plain,
    mult(X1,ld(ld(mult(X2,X1),X1),unit)) = ld(ld(X2,unit),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_165]),c_0_23]) ).

cnf(c_0_193,negated_conjecture,
    mult(mult(mult(esk2_0,esk1_0),esk1_0),esk2_0) = mult(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_194,plain,
    ld(mult(esk2_0,esk1_0),esk2_0) = mult(esk1_0,mult(esk2_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_29,c_0_182]) ).

cnf(c_0_195,plain,
    mult(ld(mult(esk1_0,X1),esk1_0),esk2_0) = ld(X1,esk2_0),
    inference(rw,[status(thm)],[c_0_183,c_0_159]) ).

cnf(c_0_196,plain,
    mult(esk1_0,rd(unit,mult(esk2_0,esk1_0))) = mult(mult(esk1_0,esk1_0),esk2_0),
    inference(rw,[status(thm)],[inference(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_75,c_0_160]),c_0_136]),c_0_181]),c_0_23]),c_0_139]),c_0_43]),c_0_74]),c_0_27]) ).

cnf(c_0_197,plain,
    rd(unit,mult(mult(esk1_0,X1),esk2_0)) = mult(rd(esk1_0,X1),esk2_0),
    inference(spm,[status(thm)],[c_0_38,c_0_184]) ).

cnf(c_0_198,plain,
    rd(X1,X1) = unit,
    inference(spm,[status(thm)],[c_0_23,c_0_27]) ).

cnf(c_0_199,plain,
    rd(X1,mult(X2,ld(mult(X1,X2),X1))) = mult(mult(X1,rd(unit,X2)),X2),
    inference(spm,[status(thm)],[c_0_38,c_0_185]) ).

cnf(c_0_200,plain,
    mult(mult(rd(X1,X2),rd(X2,X1)),X1) = mult(X2,ld(ld(X1,X2),unit)),
    inference(spm,[status(thm)],[c_0_186,c_0_43]) ).

cnf(c_0_201,plain,
    ld(X1,ld(rd(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_29,c_0_166]) ).

cnf(c_0_202,plain,
    mult(X1,ld(X2,mult(X1,rd(X2,X1)))) = mult(rd(X1,X2),mult(X1,rd(X2,X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_43]) ).

cnf(c_0_203,plain,
    mult(esk1_0,rd(esk2_0,mult(X1,esk2_0))) = rd(esk1_0,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_29]),c_0_191]) ).

cnf(c_0_204,plain,
    rd(rd(mult(X1,X2),X1),mult(X2,ld(X1,unit))) = X1,
    inference(spm,[status(thm)],[c_0_38,c_0_156]) ).

cnf(c_0_205,negated_conjecture,
    ld(ld(mult(mult(esk2_0,esk1_0),esk1_0),unit),esk2_0) = mult(esk2_0,esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]),c_0_161]),c_0_162]),c_0_43]) ).

cnf(c_0_206,plain,
    ld(ld(mult(esk1_0,X1),esk1_0),ld(X1,esk2_0)) = esk2_0,
    inference(spm,[status(thm)],[c_0_29,c_0_195]) ).

cnf(c_0_207,plain,
    mult(X1,rd(unit,ld(X1,X2))) = mult(rd(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_34,c_0_76]) ).

cnf(c_0_208,negated_conjecture,
    mult(esk1_0,rd(esk2_0,rd(unit,mult(esk2_0,esk1_0)))) = mult(esk2_0,esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_196]),c_0_197]),c_0_198]),c_0_27]) ).

cnf(c_0_209,plain,
    rd(X1,mult(ld(X1,X2),ld(X2,X1))) = mult(X2,ld(ld(X1,X2),unit)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_34]),c_0_112]),c_0_43]),c_0_24]),c_0_200]) ).

cnf(c_0_210,plain,
    mult(ld(X1,mult(X2,X1)),X3) = ld(X1,mult(X2,mult(X1,X3))),
    inference(spm,[status(thm)],[c_0_66,c_0_23]) ).

cnf(c_0_211,plain,
    ld(ld(X1,mult(X2,X1)),X3) = ld(X1,ld(X2,mult(X1,X3))),
    inference(spm,[status(thm)],[c_0_201,c_0_23]) ).

cnf(c_0_212,plain,
    mult(rd(X1,mult(X2,X1)),mult(X1,X2)) = ld(X2,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_23]),c_0_157]) ).

cnf(c_0_213,plain,
    mult(esk1_0,rd(esk2_0,mult(esk2_0,esk1_0))) = rd(unit,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_172]),c_0_38]) ).

cnf(c_0_214,plain,
    rd(rd(rd(X1,X2),X1),rd(ld(X1,X2),X2)) = rd(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_45]),c_0_46]),c_0_22]),c_0_43]) ).

cnf(c_0_215,plain,
    ld(mult(mult(esk2_0,esk1_0),esk1_0),unit) = rd(esk2_0,mult(esk2_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_38,c_0_205]) ).

cnf(c_0_216,plain,
    ld(ld(mult(esk1_0,rd(esk2_0,X1)),esk1_0),X1) = esk2_0,
    inference(spm,[status(thm)],[c_0_206,c_0_32]) ).

cnf(c_0_217,plain,
    mult(rd(X1,mult(X1,X2)),X1) = mult(X1,rd(unit,X2)),
    inference(spm,[status(thm)],[c_0_207,c_0_29]) ).

cnf(c_0_218,plain,
    rd(esk2_0,rd(unit,mult(esk2_0,esk1_0))) = mult(esk2_0,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_208]),c_0_115]),c_0_193]) ).

cnf(c_0_219,plain,
    rd(mult(mult(X1,rd(X2,X3)),X3),rd(X2,X3)) = mult(X1,rd(X2,rd(X2,X3))),
    inference(spm,[status(thm)],[c_0_54,c_0_22]) ).

cnf(c_0_220,plain,
    mult(mult(rd(X1,mult(X2,X1)),X2),X1) = mult(mult(X1,rd(unit,X2)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_165]),c_0_62]),c_0_153]),c_0_199]),c_0_211]),c_0_43]),c_0_24]),c_0_72]) ).

cnf(c_0_221,plain,
    rd(ld(X1,mult(X2,X1)),mult(X2,X1)) = rd(X2,mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_23,c_0_212]) ).

cnf(c_0_222,plain,
    ld(mult(rd(unit,X1),X2),ld(X1,mult(X2,X1))) = X1,
    inference(spm,[status(thm)],[c_0_32,c_0_75]) ).

cnf(c_0_223,plain,
    mult(esk2_0,rd(esk2_0,mult(esk2_0,esk1_0))) = rd(mult(esk2_0,esk2_0),mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_165,c_0_213]),c_0_98]),c_0_174]),c_0_54]),c_0_22]),c_0_115]),c_0_27]),c_0_74]),c_0_43]) ).

cnf(c_0_224,plain,
    rd(unit,rd(esk2_0,mult(esk2_0,esk1_0))) = mult(mult(esk2_0,esk1_0),esk1_0),
    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_132]),c_0_198]),c_0_132]),c_0_132]) ).

cnf(c_0_225,plain,
    ld(mult(esk1_0,rd(esk2_0,X1)),esk1_0) = mult(mult(esk1_0,mult(esk2_0,X1)),esk1_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_216]),c_0_139]) ).

cnf(c_0_226,plain,
    mult(esk1_0,mult(esk2_0,mult(esk2_0,esk1_0))) = mult(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_106,c_0_193]) ).

cnf(c_0_227,plain,
    mult(esk1_0,mult(esk2_0,rd(unit,X1))) = rd(unit,mult(esk1_0,mult(esk2_0,X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_217]),c_0_74]) ).

cnf(c_0_228,plain,
    ld(mult(esk2_0,mult(esk2_0,esk1_0)),esk2_0) = rd(unit,mult(esk2_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_32,c_0_218]) ).

cnf(c_0_229,plain,
    mult(rd(X1,X2),rd(X2,rd(X2,X1))) = mult(X1,rd(unit,rd(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_23]),c_0_22]) ).

cnf(c_0_230,plain,
    rd(mult(mult(esk1_0,X1),esk2_0),mult(X1,esk2_0)) = rd(X1,mult(esk2_0,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_136]),c_0_137]) ).

cnf(c_0_231,plain,
    rd(mult(X1,esk2_0),mult(mult(esk1_0,X2),esk2_0)) = mult(rd(X1,X2),esk2_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_86]),c_0_23]) ).

cnf(c_0_232,plain,
    mult(esk2_0,ld(mult(esk2_0,esk1_0),unit)) = rd(esk2_0,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(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_222,c_0_223]),c_0_224]),c_0_193]),c_0_98]),c_0_80]),c_0_74]),c_0_27]),c_0_156]) ).

cnf(c_0_233,plain,
    mult(rd(unit,mult(esk2_0,esk1_0)),esk1_0) = ld(mult(esk2_0,esk1_0),esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_218]),c_0_226]),c_0_227]),c_0_226]) ).

cnf(c_0_234,plain,
    mult(ld(mult(esk2_0,esk1_0),esk1_0),esk2_0) = rd(unit,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_226]),c_0_228]) ).

cnf(c_0_235,plain,
    ld(rd(unit,X1),X2) = rd(mult(X1,mult(X2,X1)),X1),
    inference(spm,[status(thm)],[c_0_32,c_0_140]) ).

cnf(c_0_236,plain,
    mult(X1,mult(rd(X2,rd(X3,X1)),X1)) = mult(rd(mult(X1,mult(X2,X1)),X3),X1),
    inference(spm,[status(thm)],[c_0_112,c_0_26]) ).

cnf(c_0_237,plain,
    mult(rd(X1,mult(esk2_0,X1)),X1) = mult(mult(mult(esk1_0,X1),esk2_0),esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_229,c_0_230]),c_0_231]),c_0_198]),c_0_27]),c_0_23]),c_0_231]),c_0_198]),c_0_27]),c_0_139]),c_0_43]),c_0_74]),c_0_27]) ).

cnf(c_0_238,plain,
    mult(rd(mult(X1,X2),mult(X1,X3)),mult(X1,X4)) = mult(X1,mult(rd(X2,X3),X4)),
    inference(spm,[status(thm)],[c_0_35,c_0_53]) ).

cnf(c_0_239,plain,
    mult(esk2_0,mult(mult(mult(esk1_0,X1),esk2_0),X2)) = mult(X1,mult(esk2_0,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_86]),c_0_23]) ).

cnf(c_0_240,plain,
    ld(mult(esk2_0,esk1_0),unit) = rd(unit,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_232]),c_0_136]),c_0_213]),c_0_233]),c_0_234]) ).

cnf(c_0_241,plain,
    ld(rd(unit,X1),rd(X2,rd(X3,X1))) = rd(mult(X1,mult(X2,X1)),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_23]) ).

cnf(c_0_242,plain,
    mult(mult(mult(esk1_0,mult(esk2_0,X1)),esk2_0),esk1_0) = mult(X1,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_237]),c_0_239]) ).

cnf(c_0_243,plain,
    mult(X1,mult(ld(mult(X2,X1),mult(X3,X2)),ld(X2,unit))) = ld(X2,X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_34]),c_0_167]) ).

cnf(c_0_244,plain,
    mult(esk2_0,rd(unit,mult(esk2_0,esk1_0))) = rd(esk2_0,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[c_0_232,c_0_240]) ).

cnf(c_0_245,plain,
    rd(rd(X1,X2),ld(X2,X1)) = ld(rd(X1,rd(X1,X2)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_22]),c_0_131]),c_0_107]),c_0_121]) ).

cnf(c_0_246,plain,
    rd(mult(X1,mult(mult(X2,rd(X3,X1)),X1)),X3) = ld(rd(unit,X1),X2),
    inference(spm,[status(thm)],[c_0_241,c_0_23]) ).

cnf(c_0_247,plain,
    mult(mult(esk2_0,X1),mult(esk2_0,esk1_0)) = mult(esk2_0,mult(X1,mult(esk2_0,esk1_0))),
    inference(spm,[status(thm)],[c_0_239,c_0_242]) ).

cnf(c_0_248,plain,
    ld(rd(unit,mult(esk2_0,esk1_0)),esk2_0) = mult(mult(esk2_0,esk1_0),esk2_0),
    inference(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_243,c_0_244]),c_0_32]),c_0_122]),c_0_107]),c_0_211]),c_0_34]),c_0_34]) ).

cnf(c_0_249,plain,
    rd(X1,ld(ld(X1,X2),X2)) = ld(rd(X2,X1),ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_245,c_0_38]) ).

cnf(c_0_250,plain,
    rd(X1,ld(X2,mult(X3,X2))) = mult(rd(rd(X1,X2),X3),X2),
    inference(spm,[status(thm)],[c_0_77,c_0_23]) ).

cnf(c_0_251,plain,
    rd(mult(X1,X2),rd(X3,ld(X2,X4))) = mult(rd(X1,rd(mult(X2,X3),X4)),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_112]),c_0_23]) ).

cnf(c_0_252,plain,
    rd(mult(mult(esk2_0,esk1_0),mult(esk2_0,X1)),X1) = mult(mult(esk2_0,esk1_0),esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_22]),c_0_248]) ).

cnf(c_0_253,plain,
    mult(X1,mult(X2,mult(X3,ld(X1,unit)))) = rd(mult(mult(X1,X2),X3),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_156]),c_0_54]),c_0_22]) ).

cnf(c_0_254,plain,
    mult(rd(mult(X1,X2),X1),mult(X3,X1)) = mult(X1,mult(mult(rd(X2,X1),X3),X1)),
    inference(spm,[status(thm)],[c_0_44,c_0_135]) ).

cnf(c_0_255,plain,
    mult(mult(X1,rd(X2,rd(X2,X3))),rd(X2,X3)) = mult(mult(X1,rd(X2,X3)),X3),
    inference(spm,[status(thm)],[c_0_24,c_0_32]) ).

cnf(c_0_256,plain,
    rd(mult(X1,esk2_0),mult(mult(esk1_0,X1),esk2_0)) = esk2_0,
    inference(spm,[status(thm)],[c_0_38,c_0_80]) ).

cnf(c_0_257,plain,
    rd(ld(X1,ld(X2,mult(X1,X2))),X2) = mult(rd(rd(unit,X1),X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_249]),c_0_23]),c_0_75]),c_0_95]),c_0_250]) ).

cnf(c_0_258,plain,
    mult(X1,ld(mult(X2,rd(X1,X2)),X2)) = rd(X1,rd(X1,X2)),
    inference(spm,[status(thm)],[c_0_134,c_0_22]) ).

cnf(c_0_259,plain,
    rd(X1,rd(X2,ld(X1,X3))) = mult(rd(unit,rd(mult(X1,X2),X3)),X1),
    inference(spm,[status(thm)],[c_0_251,c_0_27]) ).

cnf(c_0_260,plain,
    rd(mult(rd(X1,X2),mult(X2,X2)),X1) = rd(X1,rd(X1,X2)),
    inference(spm,[status(thm)],[c_0_46,c_0_22]) ).

cnf(c_0_261,plain,
    ld(X1,mult(mult(X1,mult(esk2_0,esk1_0)),esk2_0)) = mult(mult(esk2_0,esk1_0),esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_252]),c_0_253]),c_0_22]) ).

cnf(c_0_262,plain,
    ld(mult(esk1_0,mult(mult(esk2_0,esk1_0),esk1_0)),esk1_0) = esk2_0,
    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_222,c_0_193]),c_0_139]),c_0_43]),c_0_74]),c_0_27]),c_0_29]) ).

cnf(c_0_263,plain,
    mult(esk2_0,mult(mult(mult(esk1_0,X1),X2),esk2_0)) = mult(X1,mult(X2,esk2_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_86]),c_0_23]),c_0_23]) ).

cnf(c_0_264,plain,
    mult(mult(X1,esk2_0),mult(mult(esk1_0,X2),esk2_0)) = mult(mult(X1,X2),esk2_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_23]) ).

cnf(c_0_265,plain,
    mult(mult(mult(esk2_0,esk1_0),esk2_0),X1) = mult(mult(esk2_0,esk1_0),mult(esk2_0,X1)),
    inference(spm,[status(thm)],[c_0_22,c_0_252]) ).

cnf(c_0_266,plain,
    mult(mult(rd(rd(unit,X1),X2),X1),X2) = ld(X1,ld(X2,mult(X1,X2))),
    inference(spm,[status(thm)],[c_0_22,c_0_257]) ).

cnf(c_0_267,plain,
    rd(mult(X1,X2),rd(X1,rd(X1,X2))) = rd(mult(X1,mult(X2,rd(X1,X2))),X1),
    inference(spm,[status(thm)],[c_0_42,c_0_258]) ).

cnf(c_0_268,plain,
    rd(mult(X1,ld(X2,X3)),rd(X3,X2)) = mult(rd(X1,X2),rd(X3,rd(X3,X2))),
    inference(spm,[status(thm)],[c_0_219,c_0_31]) ).

cnf(c_0_269,plain,
    mult(rd(unit,rd(X1,rd(X1,X2))),X2) = rd(X1,mult(ld(X2,X1),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_90]),c_0_34]),c_0_62]),c_0_260]) ).

cnf(c_0_270,plain,
    ld(mult(mult(esk1_0,mult(esk2_0,X1)),esk1_0),X1) = esk2_0,
    inference(spm,[status(thm)],[c_0_32,c_0_139]) ).

cnf(c_0_271,plain,
    mult(mult(X1,mult(esk2_0,esk1_0)),esk2_0) = mult(X1,mult(mult(esk2_0,esk1_0),esk2_0)),
    inference(spm,[status(thm)],[c_0_34,c_0_261]) ).

cnf(c_0_272,plain,
    mult(mult(esk1_0,mult(mult(esk2_0,esk1_0),esk1_0)),esk2_0) = esk1_0,
    inference(spm,[status(thm)],[c_0_34,c_0_262]) ).

cnf(c_0_273,plain,
    mult(mult(esk1_0,mult(X1,mult(X2,esk2_0))),esk1_0) = mult(mult(esk1_0,X1),X2),
    inference(spm,[status(thm)],[c_0_125,c_0_263]) ).

cnf(c_0_274,plain,
    mult(esk1_0,mult(esk2_0,mult(mult(mult(X1,esk1_0),X2),esk2_0))) = mult(X1,mult(esk1_0,mult(X2,esk2_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_99]),c_0_86]),c_0_99]) ).

cnf(c_0_275,plain,
    mult(mult(mult(esk2_0,esk1_0),X1),esk2_0) = mult(mult(esk2_0,esk1_0),mult(X1,esk2_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_86]) ).

cnf(c_0_276,plain,
    mult(mult(rd(rd(unit,X1),X2),X1),X2) = ld(mult(X2,X1),mult(X1,X2)),
    inference(rw,[status(thm)],[c_0_266,c_0_168]) ).

cnf(c_0_277,plain,
    mult(rd(X1,X2),rd(X1,rd(X1,X2))) = rd(mult(X1,mult(ld(X2,X1),X2)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_38]),c_0_268]) ).

cnf(c_0_278,plain,
    rd(rd(X1,mult(ld(X2,X1),X2)),X2) = rd(unit,rd(X1,rd(X1,X2))),
    inference(spm,[status(thm)],[c_0_23,c_0_269]) ).

cnf(c_0_279,plain,
    mult(ld(mult(esk1_0,mult(esk2_0,mult(X1,esk1_0))),X1),esk1_0) = unit,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_270]),c_0_74]) ).

cnf(c_0_280,plain,
    mult(mult(X1,mult(esk2_0,esk1_0)),esk1_0) = mult(X1,mult(mult(esk2_0,esk1_0),esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_271]),c_0_238]),c_0_217]),c_0_139]),c_0_43]),c_0_74]),c_0_27]),c_0_139]),c_0_43]),c_0_74]),c_0_27]) ).

cnf(c_0_281,plain,
    mult(mult(X1,mult(mult(esk2_0,esk1_0),esk1_0)),esk2_0) = mult(mult(X1,esk2_0),esk1_0),
    inference(spm,[status(thm)],[c_0_264,c_0_272]) ).

cnf(c_0_282,plain,
    mult(mult(X1,mult(esk1_0,mult(X2,esk2_0))),esk1_0) = mult(mult(X1,esk1_0),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_74]),c_0_27]) ).

cnf(c_0_283,plain,
    mult(mult(mult(esk2_0,esk1_0),X1),esk1_0) = mult(mult(esk2_0,esk1_0),mult(X1,esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_275]),c_0_238]),c_0_217]),c_0_139]),c_0_43]),c_0_74]),c_0_27]),c_0_139]),c_0_43]),c_0_74]),c_0_27]) ).

cnf(c_0_284,plain,
    rd(mult(mult(X1,X2),ld(mult(X3,X2),X4)),X2) = mult(X1,ld(X3,rd(X4,X2))),
    inference(spm,[status(thm)],[c_0_54,c_0_100]) ).

cnf(c_0_285,plain,
    mult(X1,ld(mult(ld(X2,X1),X2),unit)) = rd(X1,mult(ld(X2,X1),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_276]),c_0_277]),c_0_22]),c_0_55]),c_0_22]),c_0_269]) ).

cnf(c_0_286,plain,
    rd(X1,rd(mult(X1,mult(X2,X2)),X2)) = rd(rd(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_278]),c_0_23]),c_0_33]),c_0_210]),c_0_34]) ).

cnf(c_0_287,plain,
    mult(ld(X1,X2),ld(X2,rd(X2,X1))) = mult(ld(X1,unit),rd(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_142]),c_0_66]),c_0_22]) ).

cnf(c_0_288,plain,
    ld(mult(esk1_0,mult(esk2_0,mult(X1,esk1_0))),X1) = mult(esk1_0,mult(esk2_0,esk2_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_279]),c_0_99]),c_0_27]) ).

cnf(c_0_289,plain,
    mult(esk1_0,mult(esk2_0,mult(mult(X1,esk2_0),esk1_0))) = mult(X1,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_280]),c_0_99]),c_0_281]) ).

cnf(c_0_290,plain,
    mult(mult(mult(esk2_0,esk1_0),esk1_0),mult(esk2_0,X1)) = mult(esk2_0,mult(esk1_0,X1)),
    inference(spm,[status(thm)],[c_0_239,c_0_272]) ).

cnf(c_0_291,plain,
    mult(mult(mult(esk2_0,esk1_0),esk1_0),X1) = mult(mult(esk2_0,esk1_0),mult(esk1_0,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_137]) ).

cnf(c_0_292,plain,
    ld(rd(mult(X1,X2),X1),mult(X2,rd(unit,X2))) = rd(rd(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_210]),c_0_26]),c_0_286]),c_0_23]),c_0_211]),c_0_51]) ).

cnf(c_0_293,plain,
    mult(ld(X1,mult(X2,X2)),ld(X2,unit)) = ld(ld(X2,X1),unit),
    inference(rw,[status(thm)],[c_0_63,c_0_167]) ).

cnf(c_0_294,plain,
    ld(ld(X1,X2),mult(ld(X1,unit),rd(X2,X1))) = ld(X2,rd(X2,X1)),
    inference(spm,[status(thm)],[c_0_29,c_0_287]) ).

cnf(c_0_295,plain,
    mult(ld(mult(rd(unit,X1),X2),X3),X1) = ld(X2,mult(X1,mult(X3,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_107]),c_0_166]),c_0_23]) ).

cnf(c_0_296,plain,
    ld(mult(X1,mult(esk2_0,esk1_0)),mult(X1,esk2_0)) = mult(esk1_0,mult(esk2_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_297,plain,
    mult(mult(esk2_0,esk1_0),mult(esk1_0,mult(esk2_0,X1))) = mult(esk2_0,mult(esk1_0,X1)),
    inference(rw,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_298,plain,
    rd(mult(esk2_0,mult(mult(esk2_0,esk1_0),X1)),X1) = mult(esk2_0,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_246,c_0_275]),c_0_22]),c_0_139]),c_0_43]),c_0_74]),c_0_27]),c_0_115]),c_0_275]),c_0_74]),c_0_43]) ).

cnf(c_0_299,plain,
    mult(rd(mult(X1,X2),X1),rd(rd(X1,X2),X1)) = mult(X2,rd(unit,X2)),
    inference(spm,[status(thm)],[c_0_34,c_0_292]) ).

cnf(c_0_300,plain,
    rd(ld(rd(X1,X2),X2),ld(ld(X2,X1),unit)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_293]),c_0_105]) ).

cnf(c_0_301,plain,
    rd(mult(ld(X1,X2),X3),ld(X1,X2)) = ld(X1,rd(mult(X2,X3),ld(X1,X2))),
    inference(spm,[status(thm)],[c_0_85,c_0_34]) ).

cnf(c_0_302,plain,
    rd(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X3),X1)),
    inference(spm,[status(thm)],[c_0_121,c_0_34]) ).

cnf(c_0_303,plain,
    ld(X1,rd(mult(mult(ld(X2,unit),X2),X1),X2)) = ld(mult(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_54]),c_0_29]),c_0_143]) ).

cnf(c_0_304,plain,
    rd(ld(X1,mult(X2,mult(X3,X2))),X2) = ld(mult(rd(unit,X2),X1),X3),
    inference(spm,[status(thm)],[c_0_23,c_0_295]) ).

cnf(c_0_305,plain,
    ld(X1,rd(mult(X1,esk2_0),mult(esk2_0,esk1_0))) = rd(esk2_0,mult(esk2_0,esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_296]),c_0_297]),c_0_74]),c_0_43]) ).

cnf(c_0_306,plain,
    mult(esk1_0,mult(mult(esk2_0,mult(esk2_0,esk1_0)),X1)) = mult(esk2_0,mult(esk1_0,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_226]),c_0_23]) ).

cnf(c_0_307,plain,
    mult(mult(esk2_0,mult(esk2_0,esk1_0)),X1) = mult(esk2_0,mult(mult(esk2_0,esk1_0),X1)),
    inference(spm,[status(thm)],[c_0_22,c_0_298]) ).

cnf(c_0_308,plain,
    mult(ld(ld(X1,X2),unit),ld(X1,X2)) = mult(ld(rd(X2,X1),unit),rd(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]),c_0_166]),c_0_43]),c_0_302]),c_0_198]),c_0_27]),c_0_162]),c_0_38]),c_0_38]) ).

cnf(c_0_309,plain,
    mult(ld(ld(X1,X2),X2),ld(X2,X1)) = mult(ld(ld(X1,X2),unit),X1),
    inference(spm,[status(thm)],[c_0_287,c_0_38]) ).

cnf(c_0_310,plain,
    ld(mult(esk1_0,X1),mult(esk1_0,mult(X1,esk2_0))) = ld(mult(X1,esk1_0),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_99]),c_0_86]) ).

cnf(c_0_311,plain,
    ld(mult(esk1_0,mult(X1,esk2_0)),mult(esk1_0,X2)) = mult(esk1_0,ld(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_99]),c_0_86]) ).

cnf(c_0_312,plain,
    ld(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(ld(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_29,c_0_72]) ).

cnf(c_0_313,plain,
    ld(X1,rd(X1,mult(esk2_0,esk1_0))) = ld(mult(X1,mult(esk2_0,esk1_0)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_240]),c_0_22]),c_0_27]) ).

cnf(c_0_314,plain,
    ld(mult(rd(unit,X1),X2),rd(X3,X1)) = rd(ld(X2,mult(X1,X3)),X1),
    inference(spm,[status(thm)],[c_0_304,c_0_22]) ).

cnf(c_0_315,plain,
    mult(X1,mult(rd(rd(X2,X1),X3),X1)) = mult(rd(mult(X1,X2),mult(X3,X1)),X1),
    inference(spm,[status(thm)],[c_0_112,c_0_250]) ).

cnf(c_0_316,plain,
    mult(X1,rd(esk2_0,mult(esk2_0,esk1_0))) = rd(mult(X1,esk2_0),mult(esk2_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_34,c_0_305]) ).

cnf(c_0_317,plain,
    mult(esk1_0,mult(esk2_0,mult(mult(esk2_0,esk1_0),X1))) = mult(esk2_0,mult(esk1_0,X1)),
    inference(rw,[status(thm)],[c_0_306,c_0_307]) ).

cnf(c_0_318,plain,
    rd(mult(mult(X1,ld(mult(X1,X2),X1)),X2),X1) = mult(ld(X2,unit),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_29]),c_0_54]),c_0_102]),c_0_27]) ).

cnf(c_0_319,plain,
    mult(X1,ld(mult(X1,esk1_0),X1)) = mult(esk2_0,mult(esk1_0,mult(X1,esk2_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_309,c_0_310]),c_0_311]),c_0_162]),c_0_43]),c_0_29]),c_0_311]),c_0_162]),c_0_43]),c_0_115]),c_0_27]),c_0_74]),c_0_43]) ).

cnf(c_0_320,plain,
    rd(mult(X1,rd(ld(X2,X3),X4)),X2) = mult(rd(X1,X2),rd(X3,mult(X2,X4))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_312]),c_0_23]) ).

cnf(c_0_321,plain,
    rd(ld(mult(esk2_0,esk1_0),X1),X1) = rd(X1,mult(mult(esk2_0,esk1_0),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_235,c_0_313]),c_0_314]),c_0_43]),c_0_315]),c_0_43]),c_0_23]) ).

cnf(c_0_322,plain,
    ld(rd(unit,mult(esk2_0,esk1_0)),X1) = mult(mult(esk2_0,esk1_0),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_316]),c_0_22]),c_0_139]),c_0_317]),c_0_282]) ).

cnf(c_0_323,plain,
    mult(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_144,c_0_34]) ).

cnf(c_0_324,plain,
    mult(X1,rd(X2,mult(X2,esk2_0))) = rd(mult(mult(X1,X2),esk1_0),X2),
    inference(spm,[status(thm)],[c_0_54,c_0_141]) ).

cnf(c_0_325,plain,
    mult(mult(X1,ld(mult(X1,X2),X1)),X2) = mult(mult(ld(X2,unit),X2),X1),
    inference(spm,[status(thm)],[c_0_22,c_0_318]) ).

cnf(c_0_326,plain,
    ld(rd(X1,mult(X1,esk2_0)),unit) = rd(mult(esk2_0,mult(esk1_0,mult(X1,esk2_0))),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_319]),c_0_141]) ).

cnf(c_0_327,plain,
    mult(rd(X1,X2),rd(X2,mult(X2,X3))) = rd(mult(X1,rd(unit,X3)),X2),
    inference(spm,[status(thm)],[c_0_320,c_0_162]) ).

cnf(c_0_328,plain,
    mult(mult(esk2_0,mult(esk1_0,mult(X1,esk2_0))),esk1_0) = mult(mult(esk2_0,esk1_0),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_306]),c_0_226]) ).

cnf(c_0_329,plain,
    mult(rd(X1,mult(mult(esk2_0,esk1_0),X1)),X1) = ld(mult(esk2_0,esk1_0),X1),
    inference(spm,[status(thm)],[c_0_22,c_0_321]) ).

cnf(c_0_330,plain,
    rd(X1,mult(mult(esk2_0,esk1_0),X1)) = rd(unit,mult(esk2_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_38,c_0_322]) ).

cnf(c_0_331,plain,
    mult(rd(ld(X1,X2),X1),rd(X3,X1)) = rd(ld(X1,mult(rd(X2,X1),X3)),X1),
    inference(spm,[status(thm)],[c_0_36,c_0_323]) ).

cnf(c_0_332,plain,
    ld(rd(ld(X1,X2),X2),rd(X2,X1)) = mult(X1,rd(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_38]),c_0_170]),c_0_105]) ).

cnf(c_0_333,plain,
    rd(mult(mult(esk2_0,esk1_0),mult(X1,X2)),X2) = mult(mult(esk2_0,esk1_0),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]),c_0_327]),c_0_139]),c_0_43]),c_0_74]),c_0_27]),c_0_328]),c_0_23]),c_0_324]),c_0_123]),c_0_319]),c_0_282]) ).

cnf(c_0_334,plain,
    ld(X1,mult(mult(rd(unit,X1),rd(mult(X1,X2),X3)),X3)) = mult(ld(X1,X3),ld(X3,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_122]),c_0_34]),c_0_82]),c_0_131]) ).

cnf(c_0_335,plain,
    mult(rd(unit,mult(esk2_0,esk1_0)),X1) = ld(mult(esk2_0,esk1_0),X1),
    inference(rw,[status(thm)],[c_0_329,c_0_330]) ).

cnf(c_0_336,plain,
    mult(mult(rd(unit,X1),X2),rd(X3,X1)) = rd(ld(X1,mult(X2,X3)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_75]),c_0_23]) ).

cnf(c_0_337,plain,
    rd(ld(ld(X1,unit),X2),ld(X1,unit)) = mult(mult(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_101]),c_0_43]),c_0_29]),c_0_112]),c_0_132]) ).

cnf(c_0_338,plain,
    rd(rd(X1,X2),mult(X2,rd(X1,X2))) = rd(ld(X2,X1),X1),
    inference(spm,[status(thm)],[c_0_38,c_0_332]) ).

cnf(c_0_339,negated_conjecture,
    ( mult(mult(esk3_0,esk4_0),mult(esk2_0,esk1_0)) != mult(esk3_0,mult(esk4_0,mult(esk2_0,esk1_0)))
    | mult(mult(mult(esk2_0,esk1_0),esk3_0),esk4_0) != mult(mult(esk2_0,esk1_0),mult(esk3_0,esk4_0))
    | mult(mult(esk3_0,mult(esk2_0,esk1_0)),esk4_0) != mult(esk3_0,mult(mult(esk2_0,esk1_0),esk4_0)) ),
    i_0_9 ).

cnf(c_0_340,plain,
    mult(mult(mult(esk2_0,esk1_0),X1),X2) = mult(mult(esk2_0,esk1_0),mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_22,c_0_333]) ).

cnf(c_0_341,plain,
    ld(X1,mult(mult(X1,mult(esk2_0,esk1_0)),X2)) = mult(mult(esk2_0,esk1_0),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_333]),c_0_253]),c_0_22]) ).

cnf(c_0_342,plain,
    mult(ld(mult(esk2_0,esk1_0),X1),X2) = ld(mult(esk2_0,esk1_0),mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_333]),c_0_335]),c_0_29]),c_0_135]),c_0_321]),c_0_330]),c_0_335]) ).

cnf(c_0_343,plain,
    mult(mult(X1,X2),rd(X3,ld(X1,unit))) = mult(mult(X1,mult(X2,X3)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_101]),c_0_43]),c_0_29]),c_0_337]) ).

cnf(c_0_344,plain,
    mult(mult(rd(ld(X1,X2),X2),X1),rd(X2,X1)) = mult(X2,ld(X1,unit)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_338]),c_0_31]) ).

cnf(c_0_345,plain,
    mult(mult(esk2_0,esk1_0),rd(unit,mult(esk2_0,esk1_0))) = unit,
    inference(spm,[status(thm)],[c_0_34,c_0_240]) ).

cnf(c_0_346,negated_conjecture,
    ( mult(mult(esk3_0,esk4_0),mult(esk2_0,esk1_0)) != mult(esk3_0,mult(esk4_0,mult(esk2_0,esk1_0)))
    | mult(mult(esk3_0,mult(esk2_0,esk1_0)),esk4_0) != mult(esk3_0,mult(mult(esk2_0,esk1_0),esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_339,c_0_340])]) ).

cnf(c_0_347,plain,
    mult(mult(X1,mult(esk2_0,esk1_0)),X2) = mult(X1,mult(mult(esk2_0,esk1_0),X2)),
    inference(spm,[status(thm)],[c_0_34,c_0_341]) ).

cnf(c_0_348,plain,
    mult(X1,ld(mult(mult(esk2_0,esk1_0),X1),X2)) = ld(mult(esk2_0,esk1_0),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_342]),c_0_22]) ).

cnf(c_0_349,plain,
    ld(mult(X1,X2),mult(mult(X1,mult(X2,X3)),X1)) = rd(X3,ld(X1,unit)),
    inference(spm,[status(thm)],[c_0_29,c_0_343]) ).

cnf(c_0_350,plain,
    rd(X1,rd(unit,mult(esk2_0,esk1_0))) = mult(X1,mult(esk2_0,esk1_0)),
    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_322]),c_0_23]),c_0_345]),c_0_27]),c_0_32]) ).

cnf(c_0_351,negated_conjecture,
    mult(mult(esk3_0,esk4_0),mult(esk2_0,esk1_0)) != mult(esk3_0,mult(esk4_0,mult(esk2_0,esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_347])]) ).

cnf(c_0_352,plain,
    mult(mult(X1,X2),mult(esk2_0,esk1_0)) = mult(X1,mult(X2,mult(esk2_0,esk1_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_240]),c_0_350]),c_0_340]),c_0_29]) ).

cnf(c_0_353,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_351,c_0_352])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GRP664+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.31  % Computer : n006.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Tue Jun 14 12:40:58 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 201.22/26.68  # ENIGMATIC: Solved by autoschedule:
% 201.22/26.68  # No SInE strategy applied
% 201.22/26.68  # Trying AutoSched0 for 150 seconds
% 201.22/26.68  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 201.22/26.68  # and selection function SelectComplexExceptUniqMaxHorn.
% 201.22/26.68  #
% 201.22/26.68  # Preprocessing time       : 0.023 s
% 201.22/26.68  # Presaturation interreduction done
% 201.22/26.68  
% 201.22/26.68  # Proof found!
% 201.22/26.68  # SZS status Theorem
% 201.22/26.68  # SZS output start CNFRefutation
% See solution above
% 201.22/26.68  # Training examples: 0 positive, 0 negative
% 201.22/26.68  
% 201.22/26.68  # -------------------------------------------------
% 201.22/26.68  # User time                : 23.397 s
% 201.22/26.68  # System time              : 0.856 s
% 201.22/26.68  # Total time               : 24.253 s
% 201.22/26.68  # Maximum resident set size: 7120 pages
% 201.22/26.68  
%------------------------------------------------------------------------------