TSTP Solution File: GRP666+6 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP666+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:50:04 EDT 2023
% Result : Theorem 448.43s 76.77s
% Output : CNFRefutation 448.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 95
% Number of leaves : 12
% Syntax : Number of formulae : 462 ( 459 unt; 0 def)
% Number of atoms : 471 ( 470 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 6 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 1270 ( 0 sgn; 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f09,axiom,
! [X4,X1,X2] : ld(X2,mult(mult(X1,X4),X2)) = mult(ld(X2,mult(X1,X2)),ld(X2,mult(X4,X2))),
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f09) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f02) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f01) ).
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f04) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f03) ).
fof(f06,axiom,
! [X2] : mult(unit,X2) = X2,
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f06) ).
fof(f10,axiom,
! [X1,X2] : mult(i(X2),mult(X2,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f10) ).
fof(f05,axiom,
! [X2] : mult(X2,unit) = X2,
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f05) ).
fof(f11,axiom,
! [X1,X2] : mult(mult(X2,X1),i(X1)) = X2,
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f11) ).
fof(f08,axiom,
! [X3,X4,X1,X2] : rd(mult(mult(mult(X2,X1),X4),X3),mult(X4,X3)) = mult(rd(mult(mult(X2,X4),X3),mult(X4,X3)),rd(mult(mult(X1,X4),X3),mult(X4,X3))),
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f08) ).
fof(f07,axiom,
! [X3,X4,X1,X2] : ld(mult(X2,X1),mult(X2,mult(X1,mult(X4,X3)))) = mult(ld(mult(X2,X1),mult(X2,mult(X1,X4))),ld(mult(X2,X1),mult(X2,mult(X1,X3)))),
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',f07) ).
fof(goals,conjecture,
( ! [X5,X6,X7] : mult(X7,mult(X5,mult(X7,X6))) = mult(mult(mult(X7,X5),X7),X6)
| ! [X8,X9,X10] : mult(X8,mult(X10,mult(X9,X10))) = mult(mult(mult(X8,X10),X9),X10)
| ! [X11,X12,X13] : mult(mult(X13,X11),mult(X12,X13)) = mult(mult(X13,mult(X11,X12)),X13)
| ! [X14,X15,X16] : mult(mult(X16,X14),mult(X15,X16)) = mult(X16,mult(mult(X14,X15),X16)) ),
file('/export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p',goals) ).
fof(c_0_12,plain,
! [X35,X36,X37] : ld(X37,mult(mult(X36,X35),X37)) = mult(ld(X37,mult(X36,X37)),ld(X37,mult(X35,X37))),
inference(variable_rename,[status(thm)],[f09]) ).
fof(c_0_13,plain,
! [X19,X20] : ld(X20,mult(X20,X19)) = X19,
inference(variable_rename,[status(thm)],[f02]) ).
fof(c_0_14,plain,
! [X17,X18] : mult(X18,ld(X18,X17)) = X17,
inference(variable_rename,[status(thm)],[f01]) ).
cnf(c_0_15,plain,
ld(X1,mult(mult(X2,X3),X1)) = mult(ld(X1,mult(X2,X1)),ld(X1,mult(X3,X1))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X23,X24] : rd(mult(X24,X23),X23) = X24,
inference(variable_rename,[status(thm)],[f04]) ).
cnf(c_0_19,plain,
ld(X1,mult(mult(X1,X2),X1)) = mult(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_20,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,plain,
mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
fof(c_0_22,plain,
! [X21,X22] : mult(rd(X22,X21),X21) = X22,
inference(variable_rename,[status(thm)],[f03]) ).
fof(c_0_23,plain,
! [X26] : mult(unit,X26) = X26,
inference(variable_rename,[status(thm)],[f06]) ).
fof(c_0_24,plain,
! [X38,X39] : mult(i(X39),mult(X39,X38)) = X38,
inference(variable_rename,[status(thm)],[f10]) ).
fof(c_0_25,plain,
! [X25] : mult(X25,unit) = X25,
inference(variable_rename,[status(thm)],[f05]) ).
cnf(c_0_26,plain,
rd(mult(X1,mult(X2,X1)),X1) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
mult(unit,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
mult(X1,unit) = X1,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
rd(mult(X1,X2),X1) = mult(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_20,c_0_28]) ).
cnf(c_0_33,plain,
mult(i(X1),X1) = unit,
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
mult(X1,rd(unit,X1)) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_32]) ).
fof(c_0_35,plain,
! [X40,X41] : mult(mult(X41,X40),i(X40)) = X41,
inference(variable_rename,[status(thm)],[f11]) ).
cnf(c_0_36,plain,
i(X1) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_37,plain,
rd(unit,X1) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_16,c_0_34]) ).
cnf(c_0_38,plain,
mult(mult(X1,X2),i(X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
mult(ld(X1,unit),mult(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_36]),c_0_37]) ).
cnf(c_0_40,plain,
mult(mult(X1,X2),ld(X2,unit)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_36]),c_0_37]) ).
cnf(c_0_41,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_16,c_0_27]) ).
cnf(c_0_42,plain,
rd(X1,mult(X2,X1)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_20,c_0_39]) ).
cnf(c_0_43,plain,
ld(mult(X1,X2),X1) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_16,c_0_40]) ).
cnf(c_0_44,plain,
mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_45,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_46,plain,
ld(ld(X1,unit),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
ld(rd(X1,X2),unit) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_48,plain,
ld(ld(X1,X2),unit) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_43,c_0_17]) ).
cnf(c_0_49,plain,
ld(X1,mult(X2,X1)) = mult(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_16,c_0_44]) ).
cnf(c_0_50,plain,
mult(X1,ld(X2,unit)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_27]) ).
cnf(c_0_51,plain,
mult(ld(X1,unit),X2) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_39,c_0_17]) ).
fof(c_0_52,plain,
! [X31,X32,X33,X34] : rd(mult(mult(mult(X34,X33),X32),X31),mult(X32,X31)) = mult(rd(mult(mult(X34,X32),X31),mult(X32,X31)),rd(mult(mult(X33,X32),X31),mult(X32,X31))),
inference(variable_rename,[status(thm)],[f08]) ).
cnf(c_0_53,plain,
rd(X1,ld(X2,unit)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_43]) ).
cnf(c_0_54,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,plain,
ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3),
inference(spm,[status(thm)],[c_0_46,c_0_48]) ).
cnf(c_0_56,plain,
mult(mult(ld(X1,X2),X1),mult(ld(X1,X3),X1)) = mult(ld(X1,mult(X2,X3)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_49]),c_0_49]),c_0_49]) ).
cnf(c_0_57,plain,
mult(rd(X1,X2),X1) = mult(X1,ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_50]),c_0_51]) ).
cnf(c_0_58,plain,
rd(mult(mult(mult(X1,X2),X3),X4),mult(X3,X4)) = mult(rd(mult(mult(X1,X3),X4),mult(X3,X4)),rd(mult(mult(X2,X3),X4),mult(X3,X4))),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_59,plain,
rd(X1,rd(X2,X3)) = mult(X1,rd(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_30]) ).
cnf(c_0_60,plain,
rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_55]),c_0_30]) ).
cnf(c_0_61,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_16,c_0_30]) ).
cnf(c_0_62,plain,
mult(ld(X1,mult(X2,mult(X1,X3))),X1) = mult(mult(ld(X1,X2),X1),mult(X3,X1)),
inference(spm,[status(thm)],[c_0_56,c_0_16]) ).
cnf(c_0_63,plain,
mult(mult(X1,rd(X2,X1)),mult(X1,X2)) = mult(mult(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_31]),c_0_16]) ).
cnf(c_0_64,plain,
mult(ld(X1,mult(mult(X1,X2),X3)),X1) = mult(mult(X2,X1),mult(ld(X1,X3),X1)),
inference(spm,[status(thm)],[c_0_56,c_0_16]) ).
cnf(c_0_65,plain,
rd(mult(mult(mult(X1,X2),X3),X1),mult(X3,X1)) = mult(X1,rd(mult(mult(X2,X3),X1),mult(X3,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_21]),c_0_20]) ).
cnf(c_0_66,plain,
mult(mult(X1,rd(X2,X3)),rd(X3,X2)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_59]) ).
cnf(c_0_67,plain,
rd(X1,mult(rd(X2,X3),X4)) = mult(X1,ld(X4,rd(X3,X2))),
inference(spm,[status(thm)],[c_0_60,c_0_54]) ).
cnf(c_0_68,plain,
mult(rd(X1,X2),rd(X2,X1)) = unit,
inference(spm,[status(thm)],[c_0_61,c_0_54]) ).
cnf(c_0_69,plain,
mult(ld(X1,mult(mult(X1,X2),X2)),X1) = mult(X2,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_16]),c_0_27]) ).
cnf(c_0_70,plain,
mult(X1,mult(mult(X2,X1),mult(ld(X1,X3),X1))) = mult(mult(mult(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_44,c_0_64]) ).
cnf(c_0_71,plain,
mult(mult(X1,X1),ld(X1,rd(X2,X3))) = mult(X1,rd(X2,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_65,c_0_66]),c_0_67]),c_0_68]),c_0_28]),c_0_42]),c_0_54]),c_0_30]) ).
cnf(c_0_72,plain,
ld(X1,rd(X1,X2)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_43,c_0_27]) ).
cnf(c_0_73,plain,
rd(X1,mult(X2,mult(X2,X1))) = ld(mult(mult(X1,X2),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_69]),c_0_55]),c_0_30]) ).
cnf(c_0_74,plain,
mult(mult(mult(X1,rd(X2,X1)),X3),X1) = mult(X1,mult(X2,mult(ld(X1,X3),X1))),
inference(spm,[status(thm)],[c_0_70,c_0_27]) ).
cnf(c_0_75,plain,
rd(mult(X1,X1),X2) = mult(X1,rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_50]) ).
cnf(c_0_76,plain,
mult(mult(X1,rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X1),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_51]),c_0_51]),c_0_60]),c_0_55]),c_0_50]),c_0_50]),c_0_54]),c_0_59]) ).
cnf(c_0_77,plain,
rd(mult(mult(ld(X1,X2),X1),X3),X1) = ld(X1,mult(X2,mult(X1,rd(X3,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_50,c_0_74]),c_0_46]),c_0_50]),c_0_31]),c_0_51]),c_0_51]),c_0_53]),c_0_49]) ).
cnf(c_0_78,plain,
mult(X1,mult(ld(X1,X2),X2)) = mult(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_75]),c_0_76]) ).
fof(c_0_79,plain,
! [X27,X28,X29,X30] : ld(mult(X30,X29),mult(X30,mult(X29,mult(X28,X27)))) = mult(ld(mult(X30,X29),mult(X30,mult(X29,X28))),ld(mult(X30,X29),mult(X30,mult(X29,X27)))),
inference(variable_rename,[status(thm)],[f07]) ).
cnf(c_0_80,plain,
ld(X1,mult(X2,X2)) = mult(ld(X1,X2),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_77,c_0_75]),c_0_20]),c_0_21]),c_0_17]),c_0_20]),c_0_17]) ).
cnf(c_0_81,plain,
mult(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(X2,mult(X1,X2))),
inference(spm,[status(thm)],[c_0_78,c_0_16]) ).
cnf(c_0_82,plain,
ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,X4)))) = mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,mult(X2,X4)))),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_83,plain,
ld(X1,mult(X2,mult(X3,mult(X2,X3)))) = mult(ld(X1,mult(X2,X3)),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_84,plain,
ld(mult(X1,X2),mult(X1,mult(X2,mult(mult(X1,X2),X3)))) = mult(X1,mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_61]),c_0_28]),c_0_17]) ).
cnf(c_0_85,plain,
mult(mult(X1,X2),mult(X1,mult(X2,X3))) = mult(X1,mult(X2,mult(mult(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_17,c_0_84]) ).
cnf(c_0_86,plain,
mult(rd(X1,X2),mult(X2,mult(X1,X3))) = mult(X1,mult(rd(X1,X2),mult(X2,X3))),
inference(spm,[status(thm)],[c_0_85,c_0_27]) ).
cnf(c_0_87,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_28]) ).
cnf(c_0_88,plain,
mult(mult(X1,X2),ld(X2,mult(X1,X3))) = mult(X1,mult(mult(X1,X2),ld(X2,X3))),
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_86,c_0_51]),c_0_60]),c_0_87]),c_0_60]),c_0_87]),c_0_51]) ).
cnf(c_0_89,plain,
ld(X1,ld(X2,unit)) = ld(mult(X2,X1),unit),
inference(spm,[status(thm)],[c_0_72,c_0_42]) ).
cnf(c_0_90,plain,
mult(mult(X1,X2),ld(X2,rd(X1,X3))) = mult(X1,rd(mult(X1,X2),mult(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_50]),c_0_89]),c_0_50]) ).
cnf(c_0_91,plain,
mult(X1,rd(mult(X1,X2),mult(mult(X3,X1),X2))) = rd(mult(X1,X2),mult(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_42]),c_0_89]),c_0_50]) ).
cnf(c_0_92,plain,
rd(mult(mult(X1,X2),X3),mult(X2,X3)) = mult(rd(mult(X1,X3),mult(X2,X3)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_91]),c_0_54]),c_0_54]),c_0_30]) ).
cnf(c_0_93,plain,
mult(mult(rd(mult(X1,X2),mult(X3,X2)),X3),mult(X3,X2)) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_27,c_0_92]) ).
cnf(c_0_94,plain,
mult(mult(rd(X1,mult(X2,X3)),X2),mult(X2,X3)) = mult(mult(rd(X1,X3),X2),X3),
inference(spm,[status(thm)],[c_0_93,c_0_27]) ).
cnf(c_0_95,plain,
mult(mult(rd(mult(X1,mult(X2,X3)),X3),X2),X3) = mult(mult(X1,X2),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_94,c_0_20]) ).
cnf(c_0_96,plain,
ld(mult(rd(X1,X2),X3),X4) = mult(ld(X3,rd(X2,X1)),X4),
inference(spm,[status(thm)],[c_0_55,c_0_54]) ).
cnf(c_0_97,plain,
mult(mult(X1,X2),mult(ld(X2,ld(mult(X2,X1),X3)),X2)) = mult(ld(X2,X3),X2),
inference(spm,[status(thm)],[c_0_64,c_0_17]) ).
cnf(c_0_98,plain,
rd(mult(mult(X1,X2),mult(X2,X3)),X3) = mult(rd(mult(X1,mult(X2,X3)),X3),X2),
inference(spm,[status(thm)],[c_0_20,c_0_95]) ).
cnf(c_0_99,plain,
mult(ld(X1,rd(X2,X1)),X3) = ld(mult(X1,ld(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_96,c_0_57]) ).
cnf(c_0_100,plain,
mult(X1,mult(mult(ld(X1,X2),X1),mult(X3,X1))) = mult(mult(X2,mult(X1,X3)),X1),
inference(spm,[status(thm)],[c_0_44,c_0_62]) ).
cnf(c_0_101,plain,
mult(mult(X1,mult(mult(X2,X1),X3)),X2) = mult(mult(X1,X2),mult(mult(X1,X3),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_84]),c_0_16]),c_0_16]) ).
cnf(c_0_102,plain,
mult(mult(mult(X1,X2),ld(X2,X3)),X3) = mult(mult(mult(X1,X3),X2),ld(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_17]),c_0_60]),c_0_60]) ).
cnf(c_0_103,plain,
mult(ld(X1,mult(X2,rd(X3,X1))),X1) = mult(mult(ld(X1,X2),X1),ld(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_99]),c_0_43]),c_0_55]),c_0_30]) ).
cnf(c_0_104,plain,
mult(mult(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,mult(mult(X2,X1),mult(X3,X1))),
inference(spm,[status(thm)],[c_0_100,c_0_16]) ).
cnf(c_0_105,plain,
mult(mult(mult(X1,X2),X3),ld(X3,X1)) = mult(X1,mult(mult(X2,X3),ld(X3,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_56]),c_0_44]),c_0_17]),c_0_44]) ).
cnf(c_0_106,plain,
mult(mult(mult(X1,mult(X2,X3)),X2),X3) = mult(mult(mult(X1,X2),X3),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_102,c_0_16]) ).
cnf(c_0_107,plain,
mult(mult(X1,rd(X2,X1)),mult(X1,X3)) = mult(X1,rd(mult(X2,mult(X3,X1)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_103]),c_0_50]),c_0_55]),c_0_87]),c_0_31]),c_0_46]),c_0_60]),c_0_87]),c_0_55]),c_0_87]),c_0_31]) ).
cnf(c_0_108,plain,
mult(X1,rd(mult(mult(X2,X1),mult(X3,X1)),X1)) = mult(mult(X1,X2),mult(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_104]),c_0_31]) ).
cnf(c_0_109,plain,
rd(mult(mult(X1,X2),mult(X1,X3)),X3) = mult(X1,rd(mult(X2,mult(X1,X3)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_43]),c_0_50]),c_0_50]) ).
cnf(c_0_110,plain,
mult(mult(X1,mult(X2,mult(X3,X1))),X3) = mult(mult(mult(X1,X2),X3),mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_21]),c_0_27]),c_0_21]),c_0_27]) ).
cnf(c_0_111,plain,
rd(mult(mult(X1,X2),mult(X3,X2)),X2) = ld(X2,mult(mult(X2,X1),mult(X2,X3))),
inference(spm,[status(thm)],[c_0_16,c_0_108]) ).
cnf(c_0_112,plain,
mult(mult(X1,rd(mult(X2,mult(X1,X3)),X3)),X3) = mult(mult(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_27,c_0_109]) ).
cnf(c_0_113,plain,
ld(mult(X1,rd(X2,X3)),unit) = rd(rd(X3,X2),X1),
inference(spm,[status(thm)],[c_0_42,c_0_66]) ).
cnf(c_0_114,plain,
ld(X1,mult(mult(X1,mult(X2,X3)),mult(X1,X2))) = mult(X2,mult(X3,mult(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_110]),c_0_111]) ).
cnf(c_0_115,plain,
rd(rd(X1,mult(X2,mult(X3,X1))),X3) = rd(X1,mult(mult(X3,X2),mult(X3,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_112]),c_0_113]) ).
cnf(c_0_116,plain,
mult(mult(X1,mult(X2,X3)),mult(X1,X2)) = mult(X1,mult(X2,mult(X3,mult(X1,X2)))),
inference(spm,[status(thm)],[c_0_17,c_0_114]) ).
cnf(c_0_117,plain,
mult(rd(X1,mult(mult(X2,X3),mult(X2,X1))),X2) = rd(X1,mult(X3,mult(X2,X1))),
inference(spm,[status(thm)],[c_0_27,c_0_115]) ).
cnf(c_0_118,plain,
rd(X1,mult(ld(X2,X3),X4)) = mult(X1,ld(X4,ld(X3,X2))),
inference(spm,[status(thm)],[c_0_60,c_0_55]) ).
cnf(c_0_119,plain,
mult(mult(rd(X1,X2),mult(X2,X3)),X1) = mult(rd(X1,X2),mult(X2,mult(X3,X1))),
inference(spm,[status(thm)],[c_0_116,c_0_27]) ).
cnf(c_0_120,plain,
mult(rd(X1,mult(X2,mult(X3,X1))),X3) = mult(X1,ld(mult(X3,X1),ld(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_17]),c_0_118]) ).
cnf(c_0_121,plain,
ld(X1,mult(mult(X1,X2),mult(X3,X2))) = mult(ld(X1,mult(mult(X1,X2),X3)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_42]),c_0_51]),c_0_51]) ).
cnf(c_0_122,plain,
mult(mult(X1,X2),mult(mult(X1,ld(mult(X2,X1),X3)),X2)) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_101,c_0_17]) ).
cnf(c_0_123,plain,
mult(mult(X1,ld(mult(X2,X1),X3)),X2) = mult(X1,ld(mult(X2,X1),mult(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_51]),c_0_60]),c_0_46]) ).
cnf(c_0_124,plain,
mult(X1,mult(ld(X1,mult(mult(X1,X2),X3)),X2)) = mult(mult(X1,X2),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_17,c_0_121]) ).
cnf(c_0_125,plain,
mult(mult(X1,rd(X2,X1)),mult(mult(X1,X2),X2)) = mult(mult(mult(X1,X2),X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_42]),c_0_50]),c_0_31]) ).
cnf(c_0_126,plain,
mult(mult(X1,X2),mult(ld(X2,X1),X2)) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_43]),c_0_51]),c_0_49]) ).
cnf(c_0_127,plain,
mult(mult(rd(X1,X2),mult(X2,X3)),X2) = mult(X2,mult(ld(X2,X1),mult(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_99]),c_0_43]),c_0_48]) ).
cnf(c_0_128,plain,
rd(ld(X1,X2),X2) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_42,c_0_17]) ).
cnf(c_0_129,plain,
mult(mult(X1,X2),mult(X1,ld(mult(X2,X1),mult(X3,X2)))) = mult(mult(X1,X3),X2),
inference(rw,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_130,plain,
mult(mult(X1,X2),mult(ld(mult(X1,X2),X3),X2)) = mult(X1,mult(ld(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_124,c_0_17]) ).
cnf(c_0_131,plain,
mult(mult(mult(mult(X1,X2),X2),X2),X1) = mult(X1,mult(X2,mult(X2,mult(X2,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_125]),c_0_64]),c_0_126]) ).
cnf(c_0_132,plain,
rd(mult(mult(X1,X2),ld(X2,X3)),X2) = ld(X2,mult(mult(X2,X1),rd(X3,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_50,c_0_127]),c_0_46]),c_0_50]),c_0_51]),c_0_60]),c_0_87]),c_0_51]) ).
cnf(c_0_133,plain,
rd(ld(X1,unit),X2) = ld(mult(X2,X1),unit),
inference(spm,[status(thm)],[c_0_128,c_0_43]) ).
cnf(c_0_134,plain,
mult(mult(X1,X2),mult(X1,ld(mult(X2,X1),X3))) = mult(mult(X1,rd(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_129,c_0_27]) ).
cnf(c_0_135,plain,
mult(X1,mult(X2,mult(mult(ld(X2,X3),X2),X1))) = mult(mult(mult(X1,X3),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_129]),c_0_130]),c_0_49]) ).
cnf(c_0_136,plain,
ld(mult(ld(X1,X2),X3),X4) = mult(ld(X3,ld(X2,X1)),X4),
inference(spm,[status(thm)],[c_0_55,c_0_55]) ).
cnf(c_0_137,plain,
rd(mult(mult(ld(X1,X2),X2),X2),X1) = ld(X1,mult(X2,mult(X2,rd(X2,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_131]),c_0_50]),c_0_51]),c_0_51]) ).
cnf(c_0_138,plain,
rd(rd(mult(X1,X2),mult(X3,X2)),X2) = ld(X2,rd(mult(X2,X1),mult(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_89]),c_0_50]),c_0_133]),c_0_50]) ).
cnf(c_0_139,plain,
mult(mult(X1,rd(mult(mult(X2,X1),X3),X2)),X2) = mult(mult(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_134,c_0_16]) ).
cnf(c_0_140,plain,
mult(mult(mult(X1,rd(X2,X3)),X3),X1) = mult(X1,mult(X3,mult(ld(X3,X2),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_99]),c_0_43]),c_0_55]),c_0_30]) ).
cnf(c_0_141,plain,
ld(mult(mult(ld(X1,X2),X1),X3),X4) = mult(ld(X3,ld(mult(X2,X1),X1)),X4),
inference(spm,[status(thm)],[c_0_136,c_0_49]) ).
cnf(c_0_142,plain,
ld(X1,rd(mult(X1,mult(X2,X1)),mult(X1,X1))) = rd(mult(X2,X1),mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_137]),c_0_42]),c_0_17]),c_0_30]),c_0_43]),c_0_50]),c_0_43]),c_0_50]),c_0_27]),c_0_138]) ).
cnf(c_0_143,plain,
rd(mult(mult(X1,X2),mult(X1,X3)),X2) = mult(X1,rd(mult(mult(X2,X1),X3),X2)),
inference(spm,[status(thm)],[c_0_20,c_0_139]) ).
cnf(c_0_144,plain,
mult(rd(mult(X1,mult(X2,X3)),X3),X1) = mult(X1,ld(X3,mult(mult(X3,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_140,c_0_50]),c_0_60]),c_0_87]),c_0_55]),c_0_87]),c_0_51]) ).
cnf(c_0_145,plain,
mult(X1,rd(ld(X2,mult(X3,X1)),X1)) = mult(rd(X1,mult(X1,X2)),mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_133]),c_0_50]),c_0_51]) ).
cnf(c_0_146,plain,
ld(mult(X1,X2),ld(mult(X3,X2),X2)) = ld(mult(mult(X3,mult(X2,X1)),X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_100]),c_0_141]),c_0_30]) ).
cnf(c_0_147,plain,
ld(mult(X1,rd(X2,X1)),X3) = mult(rd(X1,mult(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_54,c_0_31]) ).
cnf(c_0_148,plain,
ld(X1,rd(mult(X1,X2),mult(X1,X1))) = rd(X2,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_142,c_0_27]) ).
cnf(c_0_149,plain,
mult(mult(X1,mult(X2,rd(X3,X2))),X2) = mult(X2,mult(mult(ld(X2,X1),X2),X3)),
inference(spm,[status(thm)],[c_0_100,c_0_27]) ).
cnf(c_0_150,plain,
mult(mult(mult(X1,mult(X2,X3)),X2),X1) = mult(X1,mult(X2,mult(mult(X3,X2),X1))),
inference(spm,[status(thm)],[c_0_135,c_0_16]) ).
cnf(c_0_151,plain,
ld(mult(X1,X2),mult(X1,mult(X2,X3))) = mult(X1,mult(X2,ld(mult(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_84,c_0_17]) ).
cnf(c_0_152,plain,
mult(X1,ld(mult(X2,X1),X1)) = ld(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_42]),c_0_51]) ).
cnf(c_0_153,plain,
mult(mult(rd(X1,X2),mult(X1,X3)),X2) = mult(X1,mult(mult(ld(X2,X1),X3),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_143,c_0_50]),c_0_60]),c_0_87]),c_0_51]),c_0_60]),c_0_87]) ).
cnf(c_0_154,plain,
mult(rd(X1,mult(X1,X2)),mult(X1,mult(X2,X3))) = rd(mult(X1,mult(X3,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_144]),c_0_31]),c_0_145]) ).
cnf(c_0_155,plain,
mult(mult(rd(X1,X2),rd(X3,X2)),X2) = mult(X2,mult(ld(X2,X1),ld(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_50]),c_0_50]),c_0_60]),c_0_87]),c_0_51]),c_0_51]),c_0_55]),c_0_87]) ).
cnf(c_0_156,plain,
mult(rd(X1,X2),rd(X1,mult(X1,X3))) = rd(X1,mult(X1,mult(X3,ld(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_50]),c_0_50]),c_0_89]),c_0_147]),c_0_30]),c_0_54]),c_0_51]),c_0_50]),c_0_89]),c_0_147]),c_0_30]) ).
cnf(c_0_157,plain,
rd(ld(X1,X2),X1) = ld(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_50]),c_0_51]),c_0_51]),c_0_50]) ).
cnf(c_0_158,plain,
mult(ld(X1,rd(mult(X1,X2),X3)),X1) = mult(mult(X2,X1),ld(mult(X3,X1),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_50]),c_0_89]),c_0_51]) ).
cnf(c_0_159,plain,
rd(mult(X1,X2),mult(X1,X1)) = mult(X1,rd(X2,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_17,c_0_148]) ).
cnf(c_0_160,plain,
mult(ld(X1,ld(X2,mult(X1,X3))),X1) = mult(ld(mult(X2,X1),X1),mult(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_51]),c_0_89]),c_0_51]) ).
cnf(c_0_161,plain,
rd(mult(X1,mult(ld(X2,X3),X2)),X2) = ld(X2,mult(mult(X2,rd(X1,X2)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_149]),c_0_46]),c_0_50]),c_0_31]),c_0_51]),c_0_60]),c_0_87]),c_0_51]),c_0_49]) ).
cnf(c_0_162,plain,
mult(mult(mult(X1,X2),X3),mult(ld(X3,X1),X3)) = mult(X1,mult(mult(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_150]),c_0_16]),c_0_64]) ).
cnf(c_0_163,plain,
mult(mult(X1,X2),ld(mult(X3,mult(X1,X2)),X2)) = mult(X1,ld(mult(X3,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_89]),c_0_51]),c_0_89]),c_0_51]) ).
cnf(c_0_164,plain,
ld(mult(X1,X2),mult(X1,ld(X3,X2))) = mult(X1,ld(mult(X3,mult(X2,X1)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_146]),c_0_152]) ).
cnf(c_0_165,plain,
mult(rd(mult(X1,mult(X2,X3)),X3),mult(X1,X3)) = mult(X1,mult(X2,mult(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_43]),c_0_51]),c_0_16]) ).
cnf(c_0_166,plain,
mult(rd(X1,mult(X1,mult(X2,X2))),mult(X1,X2)) = rd(mult(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_16]),c_0_43]),c_0_43]),c_0_50]),c_0_157]),c_0_37]),c_0_89]),c_0_50]) ).
cnf(c_0_167,plain,
rd(mult(X1,X2),mult(X2,X2)) = mult(rd(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_16]),c_0_21]),c_0_43]),c_0_50]) ).
cnf(c_0_168,plain,
mult(ld(X1,mult(X2,rd(X3,X2))),X2) = mult(X2,mult(ld(mult(X1,X2),X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_51]),c_0_89]),c_0_51]) ).
cnf(c_0_169,plain,
mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1),
inference(spm,[status(thm)],[c_0_21,c_0_44]) ).
cnf(c_0_170,plain,
ld(mult(X1,X2),mult(mult(X1,X3),X2)) = mult(mult(X1,ld(mult(X2,X1),X3)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_151]),c_0_16]),c_0_21]),c_0_43]),c_0_51]) ).
cnf(c_0_171,plain,
rd(mult(X1,mult(mult(X2,X1),X3)),X3) = ld(X3,mult(mult(X3,mult(X1,X2)),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_20]) ).
cnf(c_0_172,plain,
mult(X1,ld(mult(mult(X2,X1),mult(X3,X1)),X3)) = ld(mult(X2,mult(X1,X3)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_163]),c_0_164]) ).
cnf(c_0_173,plain,
mult(rd(mult(X1,X2),X3),mult(X1,X3)) = mult(X1,mult(rd(X2,X3),mult(X1,X3))),
inference(spm,[status(thm)],[c_0_165,c_0_27]) ).
cnf(c_0_174,plain,
mult(rd(X1,mult(X1,mult(X2,X2))),mult(X1,X2)) = mult(rd(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_175,plain,
rd(X1,mult(X1,mult(ld(mult(X2,X1),X1),X3))) = mult(rd(X1,mult(X1,X3)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_168]),c_0_55]),c_0_147]),c_0_30]) ).
cnf(c_0_176,plain,
rd(X1,mult(X2,ld(X3,X4))) = mult(X1,rd(ld(X4,X3),X2)),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_177,plain,
mult(X1,mult(mult(mult(ld(X1,X2),X1),X1),X1)) = mult(mult(mult(X2,X1),X1),X1),
inference(spm,[status(thm)],[c_0_21,c_0_169]) ).
cnf(c_0_178,plain,
ld(mult(X1,X2),mult(mult(X1,X3),X2)) = mult(X1,ld(mult(X2,X1),mult(X3,X2))),
inference(rw,[status(thm)],[c_0_170,c_0_123]) ).
cnf(c_0_179,plain,
mult(mult(X1,rd(mult(X2,X1),X3)),X3) = mult(X3,mult(ld(X3,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_171,c_0_50]),c_0_60]),c_0_87]),c_0_51]),c_0_55]),c_0_87]) ).
cnf(c_0_180,plain,
ld(X1,mult(mult(X2,X3),mult(X1,X3))) = mult(ld(X1,mult(X2,mult(X3,X1))),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_172]),c_0_55]),c_0_55]),c_0_30]) ).
cnf(c_0_181,plain,
mult(mult(mult(X1,X2),X3),rd(X1,X3)) = mult(X1,mult(mult(X2,X3),rd(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_50]),c_0_60]),c_0_87]),c_0_60]),c_0_87]) ).
cnf(c_0_182,plain,
mult(mult(mult(X1,X1),X2),ld(mult(X1,X2),X2)) = mult(mult(X1,X1),ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_152]),c_0_175]),c_0_152]),c_0_60]),c_0_17]),c_0_176]),c_0_49]),c_0_60]),c_0_49]),c_0_56]),c_0_44]) ).
cnf(c_0_183,plain,
rd(mult(mult(mult(X1,X2),X2),X2),mult(mult(mult(ld(X2,X1),X2),X2),X2)) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_177]) ).
cnf(c_0_184,plain,
mult(X1,mult(ld(X1,mult(X2,mult(X1,X3))),X2)) = mult(X2,mult(X1,mult(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_178]),c_0_85]),c_0_17]),c_0_179]) ).
cnf(c_0_185,plain,
mult(X1,mult(ld(X1,mult(X2,mult(X3,X1))),X3)) = mult(mult(X2,X3),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_180]) ).
cnf(c_0_186,plain,
mult(mult(mult(X1,X2),ld(X2,X3)),X1) = mult(mult(X1,X2),ld(X2,mult(X3,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_119,c_0_51]),c_0_60]),c_0_87]),c_0_60]),c_0_87]),c_0_51]) ).
cnf(c_0_187,plain,
rd(mult(mult(X1,X2),mult(X3,X1)),X3) = mult(X1,rd(mult(X2,mult(X3,X1)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_42]),c_0_50]),c_0_50]) ).
cnf(c_0_188,plain,
mult(mult(mult(X1,X1),ld(X1,X2)),mult(ld(X2,X1),X2)) = mult(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_182]),c_0_60]),c_0_49]) ).
cnf(c_0_189,plain,
mult(mult(X1,X1),ld(X1,X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_71,c_0_183]) ).
cnf(c_0_190,plain,
mult(X1,mult(ld(X1,mult(X2,mult(X3,X1))),X2)) = mult(mult(mult(X2,X3),X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_44]),c_0_135]) ).
cnf(c_0_191,plain,
mult(mult(rd(X1,mult(X2,X3)),X2),mult(X3,X2)) = mult(X3,mult(ld(X3,X1),X2)),
inference(spm,[status(thm)],[c_0_185,c_0_27]) ).
cnf(c_0_192,plain,
mult(mult(X1,X2),ld(X2,mult(mult(X2,X3),X1))) = mult(mult(mult(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_186,c_0_16]) ).
cnf(c_0_193,plain,
ld(X1,mult(mult(X1,mult(X2,X3)),mult(X1,X3))) = mult(mult(X2,mult(X3,X1)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_106]),c_0_111]) ).
cnf(c_0_194,plain,
mult(mult(X1,rd(mult(X2,mult(X3,X1)),X3)),X3) = mult(mult(X1,X2),mult(X3,X1)),
inference(spm,[status(thm)],[c_0_27,c_0_187]) ).
cnf(c_0_195,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_189]),c_0_126]) ).
cnf(c_0_196,plain,
rd(mult(X1,mult(X1,X2)),X2) = ld(X2,mult(mult(X2,X1),X1)),
inference(spm,[status(thm)],[c_0_20,c_0_69]) ).
cnf(c_0_197,plain,
mult(mult(X1,mult(mult(X2,X3),X1)),X2) = mult(X1,mult(X2,mult(mult(X3,X1),X2))),
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_184]),c_0_16]),c_0_21]),c_0_17]),c_0_21]) ).
cnf(c_0_198,plain,
mult(ld(mult(mult(X1,X2),X3),X1),mult(X2,X1)) = mult(X2,ld(mult(X3,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_133]),c_0_51]),c_0_89]),c_0_51]) ).
cnf(c_0_199,plain,
mult(mult(X1,X2),mult(X1,mult(X3,X2))) = mult(X1,mult(mult(mult(X2,X1),X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_44]),c_0_70]) ).
cnf(c_0_200,plain,
ld(mult(mult(mult(X1,X2),X3),X1),mult(X1,X2)) = ld(mult(mult(X2,X3),X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_192]),c_0_55]),c_0_30]) ).
cnf(c_0_201,plain,
mult(mult(mult(X1,rd(X2,mult(X3,X1))),X3),mult(X1,X3)) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_110,c_0_27]) ).
cnf(c_0_202,plain,
mult(mult(X1,mult(X2,X3)),mult(X1,X3)) = mult(X1,mult(mult(X2,mult(X3,X1)),X3)),
inference(spm,[status(thm)],[c_0_17,c_0_193]) ).
cnf(c_0_203,plain,
mult(mult(X1,rd(X2,mult(X3,X1))),mult(X3,X1)) = mult(mult(X1,rd(X2,X3)),X3),
inference(spm,[status(thm)],[c_0_194,c_0_27]) ).
cnf(c_0_204,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_195]),c_0_21]),c_0_27]),c_0_107]),c_0_196]),c_0_17]),c_0_16]),c_0_27]) ).
cnf(c_0_205,plain,
mult(mult(X1,mult(rd(X2,X3),X1)),X2) = mult(X1,mult(X2,mult(ld(X3,X1),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_50]),c_0_51]) ).
cnf(c_0_206,plain,
mult(rd(X1,mult(X2,mult(X3,X1))),X2) = mult(X2,ld(mult(mult(X1,X3),X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_144]),c_0_43]),c_0_55]),c_0_30]),c_0_54]) ).
cnf(c_0_207,plain,
rd(X1,mult(X2,mult(mult(X3,X2),X1))) = ld(mult(mult(X1,mult(X2,X3)),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_150]),c_0_43]),c_0_50]) ).
cnf(c_0_208,plain,
mult(X1,ld(mult(mult(X2,mult(X3,X1)),X1),X2)) = ld(mult(mult(X2,X3),X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_43]),c_0_51]),c_0_200]) ).
cnf(c_0_209,plain,
mult(X1,mult(mult(X1,rd(X2,X3)),mult(X3,X3))) = mult(mult(X1,mult(X1,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_201]),c_0_20]),c_0_202]),c_0_203]),c_0_204]) ).
cnf(c_0_210,plain,
mult(X1,mult(X2,mult(ld(mult(X3,X2),X1),X2))) = mult(mult(X1,ld(X3,X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_42]),c_0_51]) ).
cnf(c_0_211,plain,
mult(ld(mult(mult(X1,mult(X2,X3)),X2),X1),X2) = ld(mult(mult(X1,X3),X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]) ).
cnf(c_0_212,plain,
mult(X1,mult(rd(X1,X2),mult(X3,X3))) = mult(mult(X1,mult(X1,ld(X2,X3))),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_128]),c_0_50]) ).
cnf(c_0_213,plain,
mult(X1,mult(X2,ld(mult(mult(X1,X3),X2),X1))) = mult(rd(X1,mult(X2,X3)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_43]),c_0_50]) ).
cnf(c_0_214,plain,
rd(X1,mult(X1,mult(X2,X1))) = ld(mult(X1,X2),unit),
inference(spm,[status(thm)],[c_0_42,c_0_21]) ).
cnf(c_0_215,plain,
mult(mult(X1,mult(X1,ld(mult(X2,X1),X3))),X3) = mult(X1,mult(ld(X2,X3),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_42]),c_0_51]),c_0_80]) ).
cnf(c_0_216,plain,
mult(X1,ld(mult(mult(X2,mult(X1,X3)),X1),X2)) = rd(X2,mult(X1,mult(X3,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_213,c_0_197]),c_0_43]),c_0_50]),c_0_214]),c_0_50]),c_0_206]) ).
cnf(c_0_217,plain,
ld(X1,mult(mult(X1,mult(X2,X3)),X3)) = mult(ld(X1,mult(mult(X1,X2),X3)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_208]),c_0_55]),c_0_55]),c_0_30]) ).
cnf(c_0_218,plain,
mult(mult(X1,rd(X2,mult(X1,mult(X3,X2)))),X2) = mult(X1,ld(mult(X1,X3),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_43]),c_0_51]) ).
cnf(c_0_219,plain,
mult(X1,mult(ld(X1,mult(mult(X1,X2),X3)),X3)) = mult(mult(X1,mult(X2,X3)),X3),
inference(spm,[status(thm)],[c_0_17,c_0_217]) ).
cnf(c_0_220,plain,
mult(rd(X1,mult(X1,mult(X2,X3))),X3) = mult(X1,ld(mult(mult(X1,X2),X3),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_42]),c_0_50]),c_0_17]) ).
cnf(c_0_221,plain,
mult(X1,rd(mult(ld(X1,X2),X1),X3)) = mult(mult(X2,rd(X1,mult(X1,X3))),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_133]),c_0_50]),c_0_50]) ).
cnf(c_0_222,plain,
mult(mult(mult(X1,rd(X2,X3)),X2),X1) = mult(X1,mult(X2,mult(ld(X3,X2),X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_72]),c_0_51]) ).
cnf(c_0_223,plain,
mult(mult(mult(X1,X2),rd(X3,mult(X3,X1))),X3) = mult(X1,rd(mult(X2,X3),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_42,c_0_220]),c_0_176]),c_0_49]),c_0_221]),c_0_54]),c_0_31]),c_0_30]) ).
cnf(c_0_224,plain,
mult(mult(mult(X1,X2),rd(X1,X3)),X1) = mult(X1,mult(mult(X2,X1),ld(X3,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_50]),c_0_51]) ).
cnf(c_0_225,plain,
mult(mult(rd(X1,mult(X1,X2)),X3),X1) = mult(X1,ld(X2,mult(ld(X1,X3),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_133]),c_0_50]),c_0_51]) ).
cnf(c_0_226,plain,
ld(mult(X1,X2),mult(X1,mult(X2,X1))) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_227,plain,
mult(X1,mult(X2,rd(mult(X3,mult(X2,X1)),X1))) = mult(mult(X1,X2),mult(X3,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_222,c_0_223]),c_0_107]),c_0_109]),c_0_43]),c_0_51]),c_0_16]) ).
cnf(c_0_228,plain,
mult(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,rd(mult(X2,X1),mult(X3,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_214]),c_0_50]),c_0_43]),c_0_50]) ).
cnf(c_0_229,plain,
mult(mult(mult(X1,X2),X3),ld(mult(X2,X3),X3)) = ld(X2,mult(mult(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_144]),c_0_16]),c_0_158]) ).
cnf(c_0_230,plain,
ld(mult(X1,X2),mult(mult(mult(X1,X2),X3),X1)) = ld(X2,mult(mult(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_16,c_0_192]) ).
cnf(c_0_231,plain,
mult(rd(mult(X1,X2),mult(X2,X2)),X1) = mult(X1,ld(mult(X2,X2),mult(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_166]),c_0_16]) ).
cnf(c_0_232,plain,
mult(ld(X1,mult(rd(X2,X1),X3)),X1) = mult(ld(X1,X2),mult(ld(X1,X3),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_99]),c_0_43]),c_0_48]) ).
cnf(c_0_233,plain,
ld(mult(X1,rd(X2,X1)),mult(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_226,c_0_27]) ).
cnf(c_0_234,plain,
mult(mult(mult(X1,X2),mult(X3,X2)),X1) = mult(X1,mult(mult(X2,X3),mult(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_227]),c_0_112]) ).
cnf(c_0_235,plain,
mult(mult(mult(X1,X2),rd(X3,X1)),X1) = mult(X1,mult(mult(X2,X1),ld(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_50]),c_0_59]),c_0_51]),c_0_60]) ).
cnf(c_0_236,plain,
rd(mult(mult(X1,mult(X2,X3)),X2),mult(X3,X2)) = ld(X3,mult(mult(X3,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_21]),c_0_43]),c_0_50]),c_0_230]) ).
cnf(c_0_237,plain,
mult(mult(rd(X1,X2),mult(X2,X2)),X1) = mult(X1,mult(mult(X2,X2),ld(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_51]),c_0_50]),c_0_89]),c_0_60]),c_0_87]),c_0_89]),c_0_51]),c_0_55]),c_0_87]) ).
cnf(c_0_238,plain,
mult(ld(X1,mult(rd(X1,X2),X3)),X1) = mult(ld(X2,X1),mult(ld(X1,X3),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_72]),c_0_51]) ).
cnf(c_0_239,plain,
mult(mult(X1,X2),mult(X1,rd(X3,X1))) = mult(X1,rd(mult(mult(X2,X1),X3),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_50,c_0_232]),c_0_55]),c_0_87]),c_0_46]),c_0_50]),c_0_31]),c_0_53]),c_0_55]),c_0_87]),c_0_31]) ).
cnf(c_0_240,plain,
mult(rd(X1,X2),mult(X2,ld(X1,X2))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_128]),c_0_50]),c_0_54]) ).
cnf(c_0_241,plain,
mult(X1,mult(X2,rd(mult(X3,mult(X1,X2)),X2))) = mult(mult(mult(X1,X2),X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_27]),c_0_107]) ).
cnf(c_0_242,plain,
rd(mult(ld(X1,X2),mult(X3,X1)),X1) = ld(X1,mult(rd(X2,X1),mult(X1,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_50,c_0_235]),c_0_50]),c_0_46]),c_0_51]),c_0_51]),c_0_60]),c_0_87]) ).
cnf(c_0_243,plain,
mult(ld(X1,mult(mult(X1,X2),X3)),mult(X1,X3)) = mult(mult(X2,mult(X3,X1)),X3),
inference(spm,[status(thm)],[c_0_27,c_0_236]) ).
cnf(c_0_244,plain,
mult(ld(X1,X2),mult(ld(X2,mult(X1,X1)),X2)) = mult(mult(X1,X1),ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_237]),c_0_16]),c_0_238]) ).
cnf(c_0_245,plain,
ld(X1,ld(X2,X1)) = ld(mult(X2,X1),X1),
inference(spm,[status(thm)],[c_0_16,c_0_152]) ).
cnf(c_0_246,plain,
mult(X1,rd(rd(mult(X2,X1),X3),X1)) = mult(mult(X1,X2),rd(X1,mult(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_133]),c_0_50]),c_0_50]) ).
cnf(c_0_247,plain,
rd(X1,mult(X1,ld(X2,X1))) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_20,c_0_240]) ).
cnf(c_0_248,plain,
mult(rd(mult(X1,X2),X3),mult(X3,X1)) = mult(X1,mult(rd(X2,X3),mult(X3,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_105,c_0_50]),c_0_55]),c_0_87]),c_0_50]),c_0_55]),c_0_87]) ).
cnf(c_0_249,plain,
mult(X1,mult(rd(X2,X3),mult(X3,X1))) = mult(mult(X1,X3),ld(X3,mult(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_17]),c_0_186]) ).
cnf(c_0_250,plain,
mult(mult(ld(X1,X2),mult(X3,X1)),X3) = mult(ld(X1,mult(X2,X3)),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_243,c_0_17]) ).
cnf(c_0_251,plain,
mult(mult(mult(X1,X1),ld(X1,X2)),ld(mult(mult(X1,X1),X2),X2)) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_244]),c_0_118]),c_0_245]) ).
cnf(c_0_252,plain,
mult(mult(X1,X2),ld(mult(mult(X1,X1),X2),X2)) = ld(mult(X1,X1),mult(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_62,c_0_166]),c_0_158]),c_0_72]),c_0_51]),c_0_43]),c_0_51]) ).
cnf(c_0_253,plain,
ld(mult(X1,X1),mult(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_159]),c_0_20]),c_0_42]),c_0_50]),c_0_20]) ).
cnf(c_0_254,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),mult(X1,X3)) = rd(mult(X1,mult(X2,X3)),X3),
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_236]),c_0_145]),c_0_154]),c_0_214]),c_0_50]) ).
cnf(c_0_255,plain,
rd(mult(X1,X2),mult(mult(X1,X2),X2)) = rd(X1,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_247,c_0_16]) ).
cnf(c_0_256,plain,
mult(rd(mult(X1,X2),X3),mult(X3,X1)) = mult(mult(X1,X3),ld(X3,mult(X2,X1))),
inference(rw,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_257,plain,
mult(mult(mult(X1,rd(X2,mult(X2,X3))),X2),X3) = mult(X3,mult(ld(X3,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_221]),c_0_17]) ).
cnf(c_0_258,plain,
mult(mult(mult(X1,X2),rd(X3,X1)),X3) = mult(mult(X1,mult(X2,X3)),ld(X1,X3)),
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_250,c_0_50]),c_0_55]),c_0_87]),c_0_55]),c_0_87]),c_0_51]) ).
cnf(c_0_259,plain,
mult(X1,ld(mult(X1,X1),X2)) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_189]),c_0_252]),c_0_253]) ).
cnf(c_0_260,plain,
mult(mult(X1,X2),rd(mult(X1,mult(X3,X2)),X2)) = mult(X1,mult(mult(X2,X1),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_254,c_0_184]),c_0_31]),c_0_254]),c_0_124]),c_0_111]),c_0_85]),c_0_16]) ).
cnf(c_0_261,plain,
rd(X1,mult(X2,rd(X3,X4))) = mult(X1,rd(rd(X4,X3),X2)),
inference(spm,[status(thm)],[c_0_59,c_0_59]) ).
cnf(c_0_262,plain,
rd(rd(X1,X2),X1) = rd(X1,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_255,c_0_27]) ).
cnf(c_0_263,plain,
mult(mult(X1,X2),mult(ld(X2,mult(X3,X1)),X2)) = mult(mult(X1,X3),mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_256]),c_0_124]),c_0_27]) ).
cnf(c_0_264,plain,
mult(ld(mult(mult(X1,X2),X2),X1),mult(X2,mult(X2,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_69]),c_0_55]) ).
cnf(c_0_265,plain,
mult(X1,mult(ld(X1,mult(mult(X2,X1),X3)),X2)) = mult(mult(X2,X1),mult(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_43]),c_0_50]),c_0_27]) ).
cnf(c_0_266,plain,
ld(mult(X1,X1),mult(X1,X2)) = ld(X1,X2),
inference(rw,[status(thm)],[c_0_253,c_0_259]) ).
cnf(c_0_267,plain,
mult(mult(X1,X2),rd(mult(X1,X3),X2)) = mult(X1,mult(mult(X2,X1),rd(X3,X2))),
inference(spm,[status(thm)],[c_0_260,c_0_27]) ).
cnf(c_0_268,plain,
mult(mult(X1,X2),rd(X1,mult(X1,mult(X3,mult(X2,X1))))) = rd(X1,mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_107]),c_0_261]),c_0_262]),c_0_147]),c_0_30]) ).
cnf(c_0_269,plain,
mult(ld(mult(X1,X2),mult(X1,X3)),mult(X1,X2)) = mult(ld(X2,mult(X3,X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_263]),c_0_49]) ).
cnf(c_0_270,plain,
ld(X1,mult(mult(X2,X1),mult(X3,X2))) = mult(ld(X1,mult(mult(X2,X1),X3)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_204]),c_0_43]),c_0_51]),c_0_266]) ).
cnf(c_0_271,plain,
mult(mult(X1,X2),rd(rd(X1,X3),X2)) = mult(X1,rd(mult(X2,X1),mult(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_50]),c_0_133]),c_0_50]) ).
cnf(c_0_272,plain,
mult(rd(X1,mult(X1,mult(X2,X3))),mult(X1,X2)) = rd(mult(X1,X2),mult(X3,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_268,c_0_269]),c_0_44]),c_0_42]),c_0_50]),c_0_176]),c_0_145]) ).
cnf(c_0_273,plain,
mult(mult(X1,mult(rd(X2,X1),X3)),X2) = mult(X1,mult(rd(X2,X1),mult(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_50]),c_0_55]),c_0_87]),c_0_55]),c_0_87]) ).
cnf(c_0_274,plain,
mult(mult(X1,X2),mult(mult(X3,X2),X1)) = mult(X1,mult(X2,mult(X3,mult(X2,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_227]),c_0_265]),c_0_27]) ).
cnf(c_0_275,plain,
mult(mult(X1,ld(X2,X3)),ld(X3,X2)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_60]) ).
cnf(c_0_276,plain,
mult(X1,rd(mult(X2,X1),mult(X2,mult(X3,X1)))) = rd(mult(X1,X2),mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_42]),c_0_133]),c_0_50]) ).
cnf(c_0_277,plain,
rd(mult(X1,X2),mult(mult(X1,X2),mult(X3,X2))) = rd(X1,mult(X1,mult(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_272]),c_0_262]) ).
cnf(c_0_278,plain,
mult(mult(X1,mult(X2,X3)),mult(X2,X1)) = mult(X1,mult(X2,mult(X3,mult(X2,X1)))),
inference(spm,[status(thm)],[c_0_273,c_0_20]) ).
cnf(c_0_279,plain,
mult(mult(X1,X2),mult(ld(X3,X2),X1)) = mult(X1,mult(X2,ld(X3,mult(X2,X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_51]),c_0_51]) ).
cnf(c_0_280,plain,
rd(mult(X1,mult(X2,mult(X2,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_65,c_0_204]),c_0_21]),c_0_195]),c_0_195]),c_0_20]) ).
cnf(c_0_281,plain,
mult(X1,mult(mult(X2,X1),ld(mult(X3,X1),X1))) = mult(rd(mult(X1,X2),X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_42]),c_0_50]) ).
cnf(c_0_282,plain,
ld(mult(X1,ld(X2,X3)),unit) = rd(ld(X3,X2),X1),
inference(spm,[status(thm)],[c_0_42,c_0_275]) ).
cnf(c_0_283,plain,
mult(mult(mult(rd(X1,mult(X2,X3)),X2),X3),mult(X2,X3)) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_106,c_0_27]) ).
cnf(c_0_284,plain,
rd(mult(X1,X2),mult(mult(X2,X1),X3)) = mult(X1,rd(X2,mult(X2,mult(X1,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_124]),c_0_277]),c_0_17]) ).
cnf(c_0_285,plain,
mult(mult(X1,rd(X2,X3)),mult(X2,X1)) = mult(X1,mult(X2,ld(X3,mult(X2,X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_50]),c_0_51]) ).
cnf(c_0_286,plain,
mult(X1,mult(X2,ld(mult(X2,X3),mult(X2,X1)))) = mult(mult(X1,X2),ld(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_43]),c_0_51]) ).
cnf(c_0_287,plain,
mult(mult(X1,X2),mult(X2,X1)) = mult(X1,mult(X2,mult(X2,X1))),
inference(spm,[status(thm)],[c_0_27,c_0_280]) ).
cnf(c_0_288,plain,
rd(mult(ld(X1,X2),X1),mult(X3,X1)) = mult(ld(X1,rd(X2,mult(X1,X3))),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_281]),c_0_96]),c_0_282]),c_0_49]) ).
cnf(c_0_289,plain,
mult(mult(X1,mult(X2,mult(X2,X1))),X3) = mult(mult(X1,X2),mult(mult(X2,X1),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_283,c_0_284]),c_0_285]),c_0_286]),c_0_43]),c_0_50]),c_0_27]),c_0_287]) ).
cnf(c_0_290,plain,
rd(mult(mult(X1,X2),X3),mult(X1,X3)) = mult(mult(X1,rd(X2,mult(X3,X1))),X3),
inference(spm,[status(thm)],[c_0_20,c_0_201]) ).
cnf(c_0_291,plain,
rd(ld(mult(X1,X2),X2),mult(X3,X2)) = ld(mult(mult(mult(X2,X3),X1),X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_89]),c_0_51]),c_0_133]),c_0_89]),c_0_51]) ).
cnf(c_0_292,plain,
mult(X1,rd(mult(mult(X2,X2),mult(X2,X1)),X1)) = mult(mult(X1,X2),mult(X2,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_152,c_0_166]),c_0_54]),c_0_27]),c_0_54]),c_0_31]),c_0_107]) ).
cnf(c_0_293,plain,
mult(mult(X1,X2),mult(X1,X1)) = mult(X1,mult(X2,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_253]),c_0_16]),c_0_43]),c_0_51]),c_0_16]) ).
cnf(c_0_294,plain,
rd(mult(X1,mult(X2,mult(X2,X1))),X3) = mult(mult(X1,X2),rd(mult(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_289]),c_0_50]) ).
cnf(c_0_295,plain,
rd(mult(ld(X1,X2),X3),mult(X2,X3)) = mult(ld(mult(mult(X2,X3),X1),X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_152]),c_0_291]),c_0_152]) ).
cnf(c_0_296,plain,
rd(mult(mult(X1,X1),mult(X1,X2)),X2) = ld(X2,mult(mult(X2,X1),mult(X1,X1))),
inference(spm,[status(thm)],[c_0_16,c_0_292]) ).
cnf(c_0_297,plain,
mult(mult(X1,X1),mult(X1,X2)) = mult(X1,mult(mult(X1,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_149,c_0_293]),c_0_21]),c_0_27]),c_0_43]),c_0_51]),c_0_16]) ).
cnf(c_0_298,plain,
mult(mult(mult(X1,X2),rd(mult(X2,X1),X3)),X3) = mult(X1,mult(X2,mult(X2,X1))),
inference(spm,[status(thm)],[c_0_27,c_0_294]) ).
cnf(c_0_299,plain,
rd(mult(X1,X2),mult(mult(X3,X1),X2)) = mult(ld(mult(mult(X1,X2),X3),X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_16]),c_0_200]) ).
cnf(c_0_300,plain,
ld(mult(X1,X2),rd(X1,mult(X1,X3))) = rd(X1,mult(X1,mult(X3,mult(X2,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_214]),c_0_51]),c_0_16]) ).
cnf(c_0_301,plain,
mult(mult(mult(X1,X1),rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X1),mult(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_296,c_0_50]),c_0_60]),c_0_87]),c_0_51]),c_0_55]),c_0_87]) ).
cnf(c_0_302,plain,
mult(mult(X1,X1),rd(X1,X2)) = mult(X1,rd(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_50]),c_0_50]) ).
cnf(c_0_303,plain,
mult(mult(rd(mult(X1,X2),X3),X1),X2) = mult(mult(X1,X2),mult(ld(X3,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_281]),c_0_152]) ).
cnf(c_0_304,plain,
mult(mult(X1,rd(X2,X3)),mult(mult(X3,X2),X1)) = mult(X1,mult(X2,mult(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_279]),c_0_43]),c_0_50]) ).
cnf(c_0_305,plain,
ld(mult(mult(X1,rd(X2,X3)),X3),X3) = mult(ld(X2,X3),ld(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_51]),c_0_51]),c_0_60]),c_0_51]),c_0_245]),c_0_55]),c_0_50]),c_0_51]),c_0_60]),c_0_51]),c_0_245]) ).
cnf(c_0_306,plain,
mult(mult(X1,rd(mult(X1,X1),X2)),X2) = mult(X2,mult(ld(X2,X1),mult(X1,X1))),
inference(rw,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_307,plain,
ld(mult(X1,X1),ld(X1,X2)) = ld(X1,ld(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_51]),c_0_50]),c_0_157]),c_0_37]),c_0_89]),c_0_51]),c_0_50]),c_0_157]),c_0_37]),c_0_89]),c_0_51]),c_0_51]) ).
cnf(c_0_308,plain,
mult(mult(X1,ld(mult(mult(X2,X3),X1),X2)),X2) = mult(X1,ld(mult(X3,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_206]),c_0_200]),c_0_43]),c_0_51]),c_0_163]) ).
cnf(c_0_309,plain,
mult(mult(X1,mult(X2,rd(X2,X3))),mult(X3,X1)) = mult(X1,mult(X2,mult(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_27]),c_0_59]) ).
cnf(c_0_310,plain,
mult(ld(mult(X1,X1),X2),ld(mult(X1,X2),X2)) = ld(X1,ld(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_43]),c_0_136]),c_0_30]),c_0_307]) ).
cnf(c_0_311,plain,
mult(rd(mult(X1,X2),mult(X3,mult(X3,X2))),X2) = mult(X1,ld(mult(X3,X3),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_308,c_0_309]),c_0_43]),c_0_50]),c_0_163]),c_0_76]),c_0_78]) ).
cnf(c_0_312,plain,
ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_310]),c_0_43]),c_0_89]),c_0_51]),c_0_43]),c_0_43]),c_0_51]),c_0_51]) ).
cnf(c_0_313,plain,
mult(mult(mult(X1,X2),mult(ld(X2,X3),X3)),X2) = mult(X1,mult(X3,mult(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_51]),c_0_51]),c_0_312]),c_0_60]),c_0_80]),c_0_50]),c_0_157]),c_0_37]),c_0_89]),c_0_55]),c_0_87]),c_0_195]) ).
cnf(c_0_314,plain,
rd(mult(X1,mult(X2,mult(X2,X3))),X3) = mult(mult(X1,X3),mult(ld(X3,X2),X2)),
inference(spm,[status(thm)],[c_0_20,c_0_313]) ).
cnf(c_0_315,plain,
ld(X1,mult(mult(X1,X2),mult(X2,X3))) = mult(X2,ld(X1,mult(mult(X1,X2),X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_42]),c_0_51]),c_0_51]) ).
cnf(c_0_316,plain,
mult(mult(mult(X1,X2),ld(X3,X1)),X3) = mult(X1,mult(mult(X2,ld(X3,X1)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_17]),c_0_60]),c_0_60]) ).
cnf(c_0_317,plain,
mult(mult(X1,mult(X2,rd(X2,X3))),X3) = mult(rd(X1,X3),mult(X3,mult(X2,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_50]),c_0_60]),c_0_87]),c_0_50]),c_0_55]),c_0_87]),c_0_204]) ).
cnf(c_0_318,plain,
mult(mult(X1,mult(X1,ld(X2,X3))),ld(X3,X2)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_275,c_0_195]) ).
cnf(c_0_319,plain,
mult(X1,mult(X2,ld(X1,mult(mult(X1,X2),X3)))) = mult(mult(X1,X2),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_315]) ).
cnf(c_0_320,plain,
mult(X1,mult(mult(ld(X1,X2),mult(X3,X3)),X1)) = mult(X2,mult(X3,mult(X3,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_316,c_0_317]),c_0_60]),c_0_17]),c_0_21]),c_0_60]),c_0_318]),c_0_195]) ).
cnf(c_0_321,plain,
rd(mult(X1,mult(X2,X3)),mult(X1,X2)) = mult(X1,mult(X2,rd(X3,mult(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_290]),c_0_20]),c_0_214]),c_0_50]) ).
cnf(c_0_322,plain,
rd(ld(mult(mult(X1,X2),X3),X1),X2) = ld(mult(mult(X1,X2),mult(X2,X3)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_319]),c_0_282]) ).
cnf(c_0_323,plain,
mult(X1,mult(ld(mult(X2,X1),X3),mult(X2,X1))) = mult(mult(ld(X2,X3),X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_97]),c_0_17]) ).
cnf(c_0_324,plain,
mult(mult(X1,X2),mult(ld(X2,X3),X3)) = mult(X2,mult(ld(X2,X1),mult(X3,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_320]),c_0_314]),c_0_20]) ).
cnf(c_0_325,plain,
mult(mult(mult(mult(X1,X2),X3),X2),X1) = mult(mult(X1,X2),mult(mult(X3,X2),X1)),
inference(spm,[status(thm)],[c_0_181,c_0_20]) ).
cnf(c_0_326,plain,
rd(rd(X1,X2),mult(X1,X1)) = rd(X1,mult(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_50]),c_0_133]),c_0_50]) ).
cnf(c_0_327,plain,
rd(X1,mult(X2,mult(X3,rd(X4,X3)))) = mult(X1,rd(rd(X3,mult(X3,X4)),X2)),
inference(spm,[status(thm)],[c_0_261,c_0_31]) ).
cnf(c_0_328,plain,
mult(rd(X1,X2),rd(X2,mult(X2,X3))) = rd(X2,mult(X2,mult(X3,ld(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_50]),c_0_54]),c_0_51]) ).
cnf(c_0_329,plain,
ld(mult(X1,rd(mult(X1,X1),X2)),mult(X1,X1)) = rd(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_302]),c_0_54]),c_0_30]) ).
cnf(c_0_330,plain,
rd(mult(X1,X2),mult(X1,mult(X3,X2))) = mult(X1,ld(mult(mult(X2,X1),X3),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_299]),c_0_20]),c_0_214]),c_0_50]) ).
cnf(c_0_331,plain,
rd(X1,mult(mult(X2,rd(X3,X2)),X4)) = mult(X1,ld(X4,rd(X2,mult(X2,X3)))),
inference(spm,[status(thm)],[c_0_67,c_0_31]) ).
cnf(c_0_332,plain,
rd(X1,mult(mult(X2,X3),mult(X2,X1))) = ld(mult(mult(X1,X2),mult(X3,X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_234]),c_0_43]),c_0_50]) ).
cnf(c_0_333,plain,
rd(mult(X1,mult(X2,X3)),mult(X1,X3)) = mult(X1,mult(rd(X2,mult(X3,X1)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_44]),c_0_221]),c_0_214]),c_0_50]) ).
cnf(c_0_334,plain,
mult(ld(mult(mult(X1,X2),mult(X2,X3)),X1),X2) = ld(mult(mult(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_27,c_0_322]) ).
cnf(c_0_335,plain,
mult(X1,ld(mult(X2,mult(X3,X1)),mult(X3,X1))) = mult(ld(mult(X2,X3),X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_89]),c_0_51]),c_0_89]),c_0_51]) ).
cnf(c_0_336,plain,
mult(ld(mult(mult(mult(X1,X2),X3),X1),X1),mult(X2,X1)) = ld(mult(X3,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_43]),c_0_89]),c_0_51]) ).
cnf(c_0_337,plain,
mult(rd(X1,X2),mult(X2,mult(X3,X3))) = ld(X2,mult(mult(X2,X1),mult(X3,X3))),
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_50]),c_0_46]),c_0_204]),c_0_46]),c_0_51]) ).
cnf(c_0_338,plain,
rd(mult(mult(X1,X2),mult(mult(X3,X2),X1)),X1) = mult(mult(mult(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_20,c_0_325]) ).
cnf(c_0_339,plain,
mult(rd(X1,X2),rd(X2,mult(mult(X2,X2),X1))) = ld(mult(X2,X2),unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_326]),c_0_54]) ).
cnf(c_0_340,plain,
rd(X1,mult(X1,mult(mult(X1,X2),ld(X2,X1)))) = ld(mult(X2,X1),rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_73]),c_0_27]),c_0_262]),c_0_328]) ).
cnf(c_0_341,plain,
mult(mult(X1,X2),mult(X3,mult(X3,X1))) = mult(X1,mult(mult(X2,mult(X3,X3)),X1)),
inference(spm,[status(thm)],[c_0_320,c_0_16]) ).
cnf(c_0_342,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_80]),c_0_43]),c_0_54]),c_0_30]) ).
cnf(c_0_343,plain,
mult(X1,mult(X2,ld(mult(mult(X1,X2),X3),X1))) = rd(mult(X1,X2),mult(X2,X3)),
inference(rw,[status(thm)],[c_0_276,c_0_330]) ).
cnf(c_0_344,plain,
mult(X1,rd(X2,mult(X2,mult(X3,mult(X1,X2))))) = ld(mult(mult(X1,X2),X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_27]),c_0_300]) ).
cnf(c_0_345,plain,
mult(mult(rd(X1,X2),mult(X2,X3)),X3) = mult(rd(mult(X1,X3),X2),mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_50]),c_0_46]),c_0_50]),c_0_46]) ).
cnf(c_0_346,plain,
mult(rd(ld(X1,X2),X3),X4) = ld(mult(X3,ld(X2,X1)),X4),
inference(spm,[status(thm)],[c_0_54,c_0_60]) ).
cnf(c_0_347,plain,
mult(rd(mult(X1,X2),mult(X3,X1)),X3) = mult(X1,mult(rd(X2,mult(X3,X1)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_276]),c_0_54]),c_0_54]),c_0_333]),c_0_30]) ).
cnf(c_0_348,plain,
ld(mult(mult(X1,X2),ld(X2,X3)),X1) = mult(ld(mult(mult(X1,X2),X3),X1),X2),
inference(spm,[status(thm)],[c_0_334,c_0_17]) ).
cnf(c_0_349,plain,
mult(ld(mult(mult(mult(X1,X2),X3),X1),X1),X2) = rd(X2,mult(X3,mult(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_21]),c_0_43]),c_0_50]) ).
cnf(c_0_350,plain,
ld(mult(mult(X1,X2),mult(X1,X3)),mult(X1,X3)) = ld(mult(mult(X2,X1),X3),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_234]),c_0_43]),c_0_51]) ).
cnf(c_0_351,plain,
ld(X1,mult(mult(X1,mult(X2,X1)),mult(X3,X3))) = mult(X2,mult(X1,mult(X3,X3))),
inference(spm,[status(thm)],[c_0_337,c_0_20]) ).
cnf(c_0_352,plain,
mult(X1,rd(mult(X2,mult(X3,mult(X2,X1))),X1)) = mult(mult(mult(X1,X2),X3),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_274]),c_0_31]) ).
cnf(c_0_353,plain,
ld(mult(X1,X2),rd(X1,X2)) = ld(mult(X2,X2),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_195]),c_0_328]),c_0_340]) ).
cnf(c_0_354,plain,
mult(X1,mult(rd(X2,mult(X3,X3)),X1)) = mult(mult(X1,X2),ld(mult(X3,X3),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_341,c_0_51]),c_0_51]),c_0_312]),c_0_50]),c_0_157]),c_0_37]),c_0_89]),c_0_50]) ).
cnf(c_0_355,plain,
rd(mult(X1,X2),mult(X2,X2)) = rd(X1,X2),
inference(rw,[status(thm)],[c_0_167,c_0_342]) ).
cnf(c_0_356,plain,
mult(mult(ld(X1,mult(mult(X1,X2),X3)),X2),X1) = mult(mult(X2,X3),mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_234]),c_0_16]),c_0_121]) ).
cnf(c_0_357,plain,
mult(mult(X1,X2),ld(X2,mult(mult(X2,X1),X3))) = mult(X1,mult(X2,mult(X1,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_343,c_0_268]),c_0_54]),c_0_31]),c_0_21]),c_0_27]),c_0_344]),c_0_60]) ).
cnf(c_0_358,plain,
ld(mult(X1,ld(X2,X3)),mult(X1,X2)) = mult(ld(mult(X1,X3),mult(X1,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_133]),c_0_51]),c_0_51]),c_0_346]) ).
cnf(c_0_359,plain,
mult(X1,mult(ld(mult(mult(X1,X2),X3),X1),X2)) = rd(mult(X1,X2),mult(X3,X2)),
inference(rw,[status(thm)],[c_0_91,c_0_299]) ).
cnf(c_0_360,plain,
mult(X1,rd(X2,mult(X3,mult(X1,X2)))) = mult(ld(mult(mult(X2,X1),X3),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_152]),c_0_346]),c_0_348]),c_0_291]),c_0_349]) ).
cnf(c_0_361,plain,
rd(X1,mult(X2,mult(ld(X3,X4),X3))) = mult(X1,rd(ld(mult(X4,X3),X3),X2)),
inference(spm,[status(thm)],[c_0_176,c_0_49]) ).
cnf(c_0_362,plain,
mult(mult(X1,X2),ld(mult(mult(X3,X1),X2),X2)) = ld(mult(X1,X3),mult(X1,X2)),
inference(spm,[status(thm)],[c_0_152,c_0_350]) ).
cnf(c_0_363,plain,
mult(mult(X1,mult(X2,X1)),mult(X3,X3)) = mult(X1,mult(X2,mult(X1,mult(X3,X3)))),
inference(spm,[status(thm)],[c_0_17,c_0_351]) ).
cnf(c_0_364,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = ld(X3,mult(mult(mult(X3,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_264,c_0_352]),c_0_27]),c_0_353]),c_0_51]),c_0_266]) ).
cnf(c_0_365,plain,
mult(mult(X1,mult(X2,X3)),ld(mult(X3,X3),X1)) = mult(X1,mult(rd(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_366,plain,
mult(mult(X1,X2),mult(X3,mult(X1,X2))) = mult(X1,mult(X2,mult(mult(X3,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_356,c_0_357]),c_0_16]),c_0_21]),c_0_197]),c_0_17]),c_0_21]) ).
cnf(c_0_367,plain,
ld(mult(X1,mult(X1,X2)),mult(X1,X2)) = ld(mult(X1,X2),X2),
inference(spm,[status(thm)],[c_0_245,c_0_16]) ).
cnf(c_0_368,plain,
mult(ld(mult(X1,mult(X2,X3)),mult(X1,X2)),X2) = ld(mult(X1,X3),mult(X1,X2)),
inference(spm,[status(thm)],[c_0_358,c_0_16]) ).
cnf(c_0_369,plain,
ld(mult(X1,mult(X2,X3)),mult(X1,X2)) = mult(ld(mult(mult(X2,X1),X3),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_359,c_0_192]),c_0_349]),c_0_360]),c_0_64]),c_0_361]),c_0_291]),c_0_362]) ).
cnf(c_0_370,plain,
ld(X1,mult(mult(mult(X1,mult(X1,X2)),X3),X2)) = mult(X1,mult(X2,mult(X3,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_254,c_0_363]),c_0_159]),c_0_364]),c_0_195]),c_0_259]),c_0_31]),c_0_20]) ).
cnf(c_0_371,plain,
mult(mult(mult(mult(X1,X2),X3),X2),X1) = mult(X1,mult(X2,mult(X3,mult(X2,X1)))),
inference(rw,[status(thm)],[c_0_325,c_0_274]) ).
cnf(c_0_372,plain,
mult(mult(mult(X1,X2),mult(X3,X1)),ld(X1,X2)) = mult(X1,mult(X2,mult(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_266]),c_0_366]),c_0_27]) ).
cnf(c_0_373,plain,
mult(mult(ld(X1,X2),X2),ld(X2,X1)) = mult(ld(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_367,c_0_51]),c_0_51]),c_0_55]),c_0_55]),c_0_55]) ).
cnf(c_0_374,plain,
mult(rd(rd(X1,X2),X3),X4) = ld(mult(X3,rd(X2,X1)),X4),
inference(spm,[status(thm)],[c_0_54,c_0_59]) ).
cnf(c_0_375,plain,
mult(X1,mult(ld(mult(X2,X1),X1),mult(X3,X1))) = mult(ld(X2,mult(X1,X3)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_89]),c_0_51]),c_0_51]) ).
cnf(c_0_376,plain,
mult(mult(ld(mult(mult(X1,X2),X3),X1),X2),X1) = ld(mult(X2,X3),mult(X2,X1)),
inference(rw,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_377,plain,
mult(mult(mult(X1,mult(X1,X2)),X3),X2) = mult(X1,mult(X1,mult(X2,mult(X3,X2)))),
inference(spm,[status(thm)],[c_0_17,c_0_370]) ).
cnf(c_0_378,plain,
mult(ld(X1,mult(mult(mult(X1,X2),X3),X2)),X1) = mult(X2,mult(X3,mult(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_371]),c_0_16]) ).
cnf(c_0_379,plain,
mult(X1,mult(X2,mult(rd(X3,X1),X2))) = mult(mult(mult(X1,X2),X3),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_372,c_0_27]) ).
cnf(c_0_380,plain,
mult(X1,mult(ld(X1,X2),mult(ld(X1,X3),X1))) = mult(mult(rd(X2,X1),X3),X1),
inference(spm,[status(thm)],[c_0_127,c_0_17]) ).
cnf(c_0_381,plain,
mult(mult(X1,ld(X2,X1)),X2) = mult(X1,mult(ld(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_240]),c_0_235]),c_0_373]),c_0_27]) ).
cnf(c_0_382,plain,
mult(ld(X1,X2),mult(ld(X2,X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_16,c_0_55]) ).
cnf(c_0_383,plain,
ld(mult(ld(X1,X2),X3),X3) = mult(ld(X3,ld(X2,X1)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_55]),c_0_49]) ).
cnf(c_0_384,plain,
mult(X1,mult(rd(X2,X3),mult(X2,X1))) = mult(mult(mult(X1,X2),ld(X3,X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_51]),c_0_50]) ).
cnf(c_0_385,plain,
mult(rd(mult(X1,X2),mult(X3,X2)),X1) = mult(mult(X1,X2),ld(X2,ld(X3,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_89]),c_0_50]),c_0_51]) ).
cnf(c_0_386,plain,
ld(mult(X1,rd(X2,X3)),mult(X1,X3)) = mult(X3,ld(mult(X1,X2),mult(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_50]),c_0_374]),c_0_133]),c_0_51]) ).
cnf(c_0_387,plain,
ld(mult(X1,X2),mult(ld(X2,X3),X2)) = mult(ld(X2,ld(mult(X2,X1),X3)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_375]),c_0_136]),c_0_136]),c_0_49]),c_0_30]) ).
cnf(c_0_388,plain,
mult(ld(X1,mult(mult(X1,X2),X3)),mult(X1,X2)) = mult(mult(mult(X2,X3),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_376,c_0_268]),c_0_54]),c_0_31]),c_0_21]),c_0_27]),c_0_344]),c_0_55]) ).
cnf(c_0_389,plain,
mult(mult(X1,mult(mult(ld(X1,X2),X1),X3)),X2) = mult(X2,mult(X1,mult(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_168]),c_0_43]),c_0_51]),c_0_17]),c_0_149]) ).
cnf(c_0_390,plain,
rd(mult(X1,mult(X1,mult(X2,mult(X3,X2)))),X2) = mult(mult(X1,mult(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_20,c_0_377]) ).
cnf(c_0_391,plain,
mult(X1,mult(mult(ld(X1,X2),X2),mult(X1,X3))) = mult(mult(X2,mult(X2,X1)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_313]),c_0_16]) ).
cnf(c_0_392,plain,
ld(X1,mult(X2,mult(mult(X3,X1),X2))) = mult(mult(ld(X1,X2),X3),mult(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_51,c_0_379]),c_0_51]),c_0_55]),c_0_87]),c_0_60]),c_0_87]) ).
cnf(c_0_393,plain,
mult(mult(X1,mult(ld(X2,X1),X2)),X3) = mult(X1,mult(mult(ld(X2,X1),X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_380]),c_0_57]),c_0_381]),c_0_17]) ).
cnf(c_0_394,plain,
ld(mult(ld(X1,X2),X1),X3) = mult(ld(mult(X2,X1),X1),X3),
inference(spm,[status(thm)],[c_0_55,c_0_49]) ).
cnf(c_0_395,plain,
mult(mult(ld(X1,X2),X1),mult(ld(mult(X2,X1),X1),X3)) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_245]),c_0_55]) ).
cnf(c_0_396,plain,
mult(mult(ld(X1,X2),X1),X2) = mult(ld(X1,X2),mult(X1,X2)),
inference(spm,[status(thm)],[c_0_287,c_0_17]) ).
cnf(c_0_397,plain,
mult(mult(ld(X1,X2),mult(X1,X2)),X3) = mult(mult(ld(X1,X2),X1),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_289,c_0_17]) ).
cnf(c_0_398,plain,
mult(rd(X1,mult(X1,X2)),mult(mult(X1,X2),X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_240,c_0_16]) ).
cnf(c_0_399,plain,
rd(mult(mult(X1,X2),mult(mult(X2,X1),X3)),X3) = mult(X1,mult(X2,mult(X2,X1))),
inference(spm,[status(thm)],[c_0_20,c_0_289]) ).
cnf(c_0_400,plain,
mult(mult(rd(X1,mult(X1,X2)),X3),X2) = mult(X1,mult(ld(X2,ld(X1,X3)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_175]),c_0_152]),c_0_383]) ).
cnf(c_0_401,plain,
mult(ld(mult(mult(X1,X2),X3),X1),mult(X1,X2)) = mult(ld(mult(X2,X3),X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_133]),c_0_51]),c_0_133]),c_0_51]) ).
cnf(c_0_402,plain,
mult(mult(X1,X2),ld(X2,mult(mult(X3,X2),X1))) = mult(X1,mult(X3,mult(X2,X1))),
inference(spm,[status(thm)],[c_0_249,c_0_20]) ).
cnf(c_0_403,plain,
mult(mult(X1,X2),ld(X2,ld(X3,X1))) = mult(X1,ld(mult(X2,X3),mult(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_214]),c_0_51]),c_0_43]),c_0_50]),c_0_385]) ).
cnf(c_0_404,plain,
mult(X1,ld(mult(X2,mult(X3,X1)),mult(X2,X1))) = ld(mult(X2,X3),mult(X2,X1)),
inference(spm,[status(thm)],[c_0_386,c_0_20]) ).
cnf(c_0_405,plain,
ld(mult(X1,X2),mult(X1,mult(X3,X2))) = mult(X1,mult(ld(mult(X2,X1),X3),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_44]),c_0_387]),c_0_44]) ).
cnf(c_0_406,plain,
mult(rd(mult(mult(X1,X2),X3),X2),mult(X2,X1)) = mult(X1,mult(X2,mult(X3,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_239]),c_0_16]),c_0_149]),c_0_389]) ).
cnf(c_0_407,plain,
rd(mult(X1,mult(X1,mult(X2,X3))),X2) = mult(mult(X1,mult(X1,X2)),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_390,c_0_27]) ).
cnf(c_0_408,plain,
mult(mult(X1,mult(X1,X2)),ld(X2,X3)) = mult(X2,mult(mult(ld(X2,X1),X1),X3)),
inference(spm,[status(thm)],[c_0_391,c_0_17]) ).
cnf(c_0_409,plain,
mult(X1,mult(mult(ld(X1,X2),X3),mult(X1,X2))) = mult(X2,mult(mult(X3,X1),X2)),
inference(spm,[status(thm)],[c_0_17,c_0_392]) ).
cnf(c_0_410,plain,
mult(mult(X1,X2),ld(mult(X1,X3),X3)) = mult(X1,mult(X2,ld(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_393]),c_0_394]),c_0_395]),c_0_118]),c_0_245]),c_0_396]),c_0_118]),c_0_245]),c_0_397]),c_0_16]) ).
cnf(c_0_411,plain,
mult(ld(mult(X1,X2),X2),mult(ld(X2,X1),X1)) = ld(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_51]),c_0_60]),c_0_51]),c_0_245]) ).
cnf(c_0_412,plain,
mult(mult(mult(X1,X2),X3),ld(X3,mult(X2,X1))) = mult(X1,mult(X2,mult(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_17]),c_0_60]) ).
cnf(c_0_413,plain,
mult(rd(mult(X1,X2),mult(X3,X2)),mult(X2,X3)) = mult(X1,mult(ld(X3,X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_272]),c_0_16]),c_0_43]),c_0_51]),c_0_49]) ).
cnf(c_0_414,plain,
ld(mult(X1,mult(X2,X3)),mult(X3,X2)) = mult(ld(mult(mult(X1,X2),X3),X3),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_43]),c_0_51]),c_0_17]) ).
cnf(c_0_415,plain,
mult(X1,mult(ld(mult(X2,X1),X1),X1)) = mult(ld(X2,X1),X1),
inference(spm,[status(thm)],[c_0_21,c_0_152]) ).
cnf(c_0_416,plain,
mult(rd(mult(X1,X2),mult(X3,X2)),X1) = mult(X1,ld(mult(X2,X3),mult(X2,X1))),
inference(rw,[status(thm)],[c_0_385,c_0_403]) ).
cnf(c_0_417,plain,
mult(ld(mult(X1,X2),mult(X1,X3)),X2) = mult(X1,mult(ld(mult(X2,X1),X3),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_404]),c_0_55]),c_0_55]),c_0_405]),c_0_30]) ).
cnf(c_0_418,plain,
mult(X1,mult(X2,mult(ld(mult(X1,X2),X3),X1))) = mult(rd(X3,X2),mult(X2,X1)),
inference(spm,[status(thm)],[c_0_406,c_0_17]) ).
cnf(c_0_419,plain,
rd(mult(X1,mult(X1,mult(X2,X3))),X3) = mult(X3,mult(mult(ld(X3,X1),X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_44]),c_0_20]),c_0_408]) ).
cnf(c_0_420,plain,
mult(X1,mult(mult(mult(ld(X1,X2),X3),X2),X1)) = mult(X2,mult(X3,mult(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_17]),c_0_55]) ).
cnf(c_0_421,plain,
mult(mult(ld(mult(X1,X2),X2),X3),X1) = mult(ld(mult(X1,X2),X2),mult(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_16]),c_0_16]) ).
cnf(c_0_422,plain,
mult(X1,mult(ld(X1,mult(X2,X3)),mult(X3,X2))) = mult(X2,mult(X3,mult(X3,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_17]),c_0_55]) ).
cnf(c_0_423,plain,
mult(mult(mult(X1,X2),ld(mult(X3,X2),X2)),X3) = mult(X1,mult(ld(X3,X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_17]),c_0_118]),c_0_245]),c_0_55]),c_0_373]) ).
cnf(c_0_424,plain,
mult(rd(mult(X1,X2),X3),mult(X3,mult(X2,X1))) = mult(X1,mult(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(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_399,c_0_213]),c_0_284]),c_0_285]),c_0_286]),c_0_43]),c_0_50]),c_0_414]),c_0_325]),c_0_274]),c_0_43]),c_0_51]),c_0_43]),c_0_60]),c_0_87]) ).
cnf(c_0_425,plain,
mult(rd(mult(X1,X2),mult(X3,X2)),mult(X3,X3)) = mult(rd(X1,X2),mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_416]),c_0_43]),c_0_55]),c_0_30]),c_0_417]),c_0_418]),c_0_54]),c_0_204]) ).
cnf(c_0_426,plain,
mult(X1,mult(X1,mult(mult(ld(X1,X2),X3),X2))) = mult(mult(mult(X1,X2),X3),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_419,c_0_420]),c_0_31]),c_0_364]),c_0_17]),c_0_61]),c_0_28]) ).
cnf(c_0_427,plain,
ld(mult(X1,X2),mult(X3,mult(X2,X1))) = mult(ld(mult(X1,X2),X3),mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_21]),c_0_43]),c_0_51]),c_0_43]),c_0_51]) ).
cnf(c_0_428,plain,
ld(X1,mult(X2,mult(X3,mult(X3,X2)))) = mult(ld(X1,mult(X2,X3)),mult(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_422]),c_0_17]) ).
cnf(c_0_429,plain,
mult(ld(mult(X1,X2),mult(X1,X3)),mult(X2,X1)) = mult(mult(ld(X2,X3),X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_362]),c_0_323]) ).
cnf(c_0_430,plain,
ld(X1,mult(mult(X1,mult(X2,X3)),mult(X3,X2))) = mult(X2,mult(X3,mult(X3,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_42]),c_0_51]) ).
cnf(c_0_431,plain,
mult(mult(X1,X2),mult(rd(X1,X2),mult(X2,X3))) = mult(mult(X1,mult(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_212,c_0_425]),c_0_43]),c_0_50]),c_0_20]),c_0_21]) ).
cnf(c_0_432,plain,
mult(mult(mult(X1,X2),mult(ld(X2,X1),X3)),X2) = mult(X1,mult(X1,mult(X3,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_17]),c_0_55]) ).
cnf(c_0_433,plain,
mult(ld(mult(X1,X2),mult(X1,X3)),mult(X3,X1)) = mult(mult(ld(X2,X3),X3),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_427,c_0_309]),c_0_428]),c_0_429]),c_0_103]),c_0_21]),c_0_17]) ).
cnf(c_0_434,plain,
mult(mult(X1,mult(X2,X3)),mult(X3,X2)) = mult(X1,mult(X2,mult(X3,mult(X3,X2)))),
inference(spm,[status(thm)],[c_0_17,c_0_430]) ).
cnf(c_0_435,plain,
mult(mult(X1,X2),mult(rd(X1,X2),X3)) = mult(mult(X1,mult(X2,X1)),ld(X2,X3)),
inference(spm,[status(thm)],[c_0_431,c_0_17]) ).
cnf(c_0_436,plain,
mult(mult(X1,X2),mult(ld(X2,X1),X3)) = mult(X2,mult(mult(ld(X2,X1),X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_432]),c_0_419]) ).
cnf(c_0_437,plain,
mult(rd(X1,X2),mult(X2,mult(X3,mult(X3,X2)))) = mult(mult(X1,mult(X3,X3)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_50]),c_0_54]),c_0_434]),c_0_46]),c_0_204]) ).
cnf(c_0_438,plain,
mult(rd(X1,X2),mult(mult(X1,X2),X3)) = mult(mult(X1,ld(X2,X1)),mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_50]),c_0_60]),c_0_87]),c_0_51]),c_0_55]),c_0_87]) ).
cnf(c_0_439,plain,
mult(mult(X1,mult(X2,X1)),mult(X2,X3)) = mult(X1,mult(mult(X2,mult(X1,X2)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_16]),c_0_21]) ).
cnf(c_0_440,plain,
mult(mult(mult(X1,X2),mult(X3,X3)),X2) = mult(X1,mult(X2,mult(X3,mult(X3,X2)))),
inference(spm,[status(thm)],[c_0_437,c_0_20]) ).
cnf(c_0_441,plain,
ld(X1,mult(mult(X2,mult(X1,X2)),X3)) = mult(ld(X1,X2),mult(mult(X1,X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_42]),c_0_51]),c_0_152]) ).
cnf(c_0_442,plain,
mult(mult(ld(X1,X2),X2),mult(X1,X3)) = mult(ld(X1,X2),mult(mult(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_17]),c_0_44]) ).
cnf(c_0_443,plain,
rd(mult(X1,mult(X2,mult(X3,mult(X3,X2)))),X2) = mult(mult(X1,X2),mult(X3,X3)),
inference(spm,[status(thm)],[c_0_20,c_0_440]) ).
cnf(c_0_444,plain,
mult(rd(X1,mult(X2,X3)),mult(X2,mult(X3,mult(X3,X2)))) = mult(X1,mult(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_424]),c_0_54]) ).
cnf(c_0_445,plain,
mult(X1,mult(ld(X1,X2),mult(mult(X1,X2),X3))) = mult(mult(X2,mult(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_17,c_0_441]) ).
cnf(c_0_446,plain,
mult(X1,mult(ld(X1,X2),mult(mult(X2,X1),X3))) = mult(mult(X2,mult(X2,X1)),X3),
inference(rw,[status(thm)],[c_0_391,c_0_442]) ).
fof(c_0_447,negated_conjecture,
~ ( ! [X5,X6,X7] : mult(X7,mult(X5,mult(X7,X6))) = mult(mult(mult(X7,X5),X7),X6)
| ! [X8,X9,X10] : mult(X8,mult(X10,mult(X9,X10))) = mult(mult(mult(X8,X10),X9),X10)
| ! [X11,X12,X13] : mult(mult(X13,X11),mult(X12,X13)) = mult(mult(X13,mult(X11,X12)),X13)
| ! [X14,X15,X16] : mult(mult(X16,X14),mult(X15,X16)) = mult(X16,mult(mult(X14,X15),X16)) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_448,plain,
mult(mult(rd(X1,mult(X2,X3)),X2),mult(X3,X3)) = rd(mult(X1,mult(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_443,c_0_444]) ).
cnf(c_0_449,plain,
mult(rd(X1,mult(mult(X2,X1),X3)),mult(X2,X1)) = mult(rd(X1,mult(X2,X3)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_133]),c_0_50]),c_0_133]),c_0_50]) ).
cnf(c_0_450,plain,
mult(mult(X1,mult(X2,X1)),ld(mult(X2,X1),X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_445,c_0_17]) ).
cnf(c_0_451,plain,
mult(mult(X1,mult(X1,X2)),ld(mult(X1,X2),X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_446,c_0_17]) ).
fof(c_0_452,negated_conjecture,
( mult(esk3_0,mult(esk1_0,mult(esk3_0,esk2_0))) != mult(mult(mult(esk3_0,esk1_0),esk3_0),esk2_0)
& mult(esk4_0,mult(esk6_0,mult(esk5_0,esk6_0))) != mult(mult(mult(esk4_0,esk6_0),esk5_0),esk6_0)
& mult(mult(esk9_0,esk7_0),mult(esk8_0,esk9_0)) != mult(mult(esk9_0,mult(esk7_0,esk8_0)),esk9_0)
& mult(mult(esk12_0,esk10_0),mult(esk11_0,esk12_0)) != mult(esk12_0,mult(mult(esk10_0,esk11_0),esk12_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_447])])]) ).
cnf(c_0_453,plain,
rd(mult(X1,mult(X2,mult(X3,X1))),mult(X3,X1)) = rd(mult(X1,mult(X2,X3)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_448]) ).
cnf(c_0_454,plain,
ld(X1,ld(mult(mult(X2,X3),X1),X2)) = ld(mult(mult(X2,mult(X3,X1)),X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_208]),c_0_204]),c_0_43]),c_0_51]),c_0_266]) ).
cnf(c_0_455,plain,
mult(mult(X1,X2),mult(ld(mult(X1,X2),X3),X1)) = mult(X2,mult(ld(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_265,c_0_17]) ).
cnf(c_0_456,plain,
mult(mult(X1,X2),mult(ld(mult(X1,X2),X2),X3)) = mult(mult(X2,X1),ld(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_21]),c_0_451]),c_0_43]),c_0_51]) ).
cnf(c_0_457,negated_conjecture,
mult(esk3_0,mult(esk1_0,mult(esk3_0,esk2_0))) != mult(mult(mult(esk3_0,esk1_0),esk3_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_452]) ).
cnf(c_0_458,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_219]),c_0_118]),c_0_454]),c_0_450]),c_0_455]),c_0_456]),c_0_17]),c_0_60]),c_0_450]),c_0_455]) ).
cnf(c_0_459,negated_conjecture,
mult(mult(esk3_0,mult(esk1_0,esk3_0)),esk2_0) != mult(esk3_0,mult(esk1_0,mult(esk3_0,esk2_0))),
inference(rw,[status(thm)],[c_0_457,c_0_21]) ).
cnf(c_0_460,plain,
mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_458]),c_0_445]) ).
cnf(c_0_461,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_460])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP666+6 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Oct 3 02:19:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.DBLmP10Ei0/E---3.1_20746.p
% 448.43/76.77 # Version: 3.1pre001
% 448.43/76.77 # Preprocessing class: FSMSSMSSSSSNFFN.
% 448.43/76.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 448.43/76.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 448.43/76.77 # Starting new_bool_3 with 300s (1) cores
% 448.43/76.77 # Starting new_bool_1 with 300s (1) cores
% 448.43/76.77 # Starting sh5l with 300s (1) cores
% 448.43/76.77 # new_bool_3 with pid 20825 completed with status 8
% 448.43/76.77 # new_bool_1 with pid 20826 completed with status 8
% 448.43/76.77 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20824 completed with status 0
% 448.43/76.77 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 448.43/76.77 # Preprocessing class: FSMSSMSSSSSNFFN.
% 448.43/76.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 448.43/76.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 448.43/76.77 # No SInE strategy applied
% 448.43/76.77 # Search class: FUUPM-FFSF21-MFFFFFNN
% 448.43/76.77 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 448.43/76.77 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 448.43/76.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 448.43/76.77 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 448.43/76.77 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 448.43/76.77 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 448.43/76.77 # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 20830 completed with status 0
% 448.43/76.77 # Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 448.43/76.77 # Preprocessing class: FSMSSMSSSSSNFFN.
% 448.43/76.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 448.43/76.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 448.43/76.77 # No SInE strategy applied
% 448.43/76.77 # Search class: FUUPM-FFSF21-MFFFFFNN
% 448.43/76.77 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 448.43/76.77 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 448.43/76.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 448.43/76.77 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 448.43/76.77 # Preprocessing time : 0.001 s
% 448.43/76.77
% 448.43/76.77 # Proof found!
% 448.43/76.77 # SZS status Theorem
% 448.43/76.77 # SZS output start CNFRefutation
% See solution above
% 448.43/76.78 # Parsed axioms : 12
% 448.43/76.78 # Removed by relevancy pruning/SinE : 0
% 448.43/76.78 # Initial clauses : 15
% 448.43/76.78 # Removed in clause preprocessing : 0
% 448.43/76.78 # Initial clauses in saturation : 15
% 448.43/76.78 # Processed clauses : 9961
% 448.43/76.78 # ...of these trivial : 7842
% 448.43/76.78 # ...subsumed : 0
% 448.43/76.78 # ...remaining for further processing : 2119
% 448.43/76.78 # Other redundant clauses eliminated : 0
% 448.43/76.78 # Clauses deleted for lack of memory : 761841
% 448.43/76.78 # Backward-subsumed : 0
% 448.43/76.78 # Backward-rewritten : 897
% 448.43/76.78 # Generated clauses : 2537960
% 448.43/76.78 # ...of the previous two non-redundant : 2280575
% 448.43/76.78 # ...aggressively subsumed : 0
% 448.43/76.78 # Contextual simplify-reflections : 0
% 448.43/76.78 # Paramodulations : 2537960
% 448.43/76.78 # Factorizations : 0
% 448.43/76.78 # NegExts : 0
% 448.43/76.78 # Equation resolutions : 0
% 448.43/76.78 # Total rewrite steps : 8532585
% 448.43/76.78 # Propositional unsat checks : 0
% 448.43/76.78 # Propositional check models : 0
% 448.43/76.78 # Propositional check unsatisfiable : 0
% 448.43/76.78 # Propositional clauses : 0
% 448.43/76.78 # Propositional clauses after purity: 0
% 448.43/76.78 # Propositional unsat core size : 0
% 448.43/76.78 # Propositional preprocessing time : 0.000
% 448.43/76.78 # Propositional encoding time : 0.000
% 448.43/76.78 # Propositional solver time : 0.000
% 448.43/76.78 # Success case prop preproc time : 0.000
% 448.43/76.78 # Success case prop encoding time : 0.000
% 448.43/76.78 # Success case prop solver time : 0.000
% 448.43/76.78 # Current number of processed clauses : 1222
% 448.43/76.78 # Positive orientable unit clauses : 1219
% 448.43/76.78 # Positive unorientable unit clauses: 0
% 448.43/76.78 # Negative unit clauses : 3
% 448.43/76.78 # Non-unit-clauses : 0
% 448.43/76.78 # Current number of unprocessed clauses: 1384408
% 448.43/76.78 # ...number of literals in the above : 1384408
% 448.43/76.78 # Current number of archived formulas : 0
% 448.43/76.78 # Current number of archived clauses : 897
% 448.43/76.78 # Clause-clause subsumption calls (NU) : 0
% 448.43/76.78 # Rec. Clause-clause subsumption calls : 0
% 448.43/76.78 # Non-unit clause-clause subsumptions : 0
% 448.43/76.78 # Unit Clause-clause subsumption calls : 0
% 448.43/76.78 # Rewrite failures with RHS unbound : 0
% 448.43/76.78 # BW rewrite match attempts : 49590
% 448.43/76.78 # BW rewrite match successes : 678
% 448.43/76.78 # Condensation attempts : 9961
% 448.43/76.78 # Condensation successes : 0
% 448.43/76.78 # Termbank termtop insertions : 58639451
% 448.43/76.78
% 448.43/76.78 # -------------------------------------------------
% 448.43/76.78 # User time : 73.091 s
% 448.43/76.78 # System time : 1.650 s
% 448.43/76.78 # Total time : 74.741 s
% 448.43/76.78 # Maximum resident set size: 1816 pages
% 448.43/76.78
% 448.43/76.78 # -------------------------------------------------
% 448.43/76.78 # User time : 364.985 s
% 448.43/76.78 # System time : 8.572 s
% 448.43/76.78 # Total time : 373.557 s
% 448.43/76.78 # Maximum resident set size: 1744 pages
% 448.43/76.78 % E---3.1 exiting
%------------------------------------------------------------------------------