TSTP Solution File: GRP664+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP664+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 17:50:00 EDT 2023
% Result : Theorem 478.49s 62.38s
% Output : CNFRefutation 478.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 9
% Syntax : Number of formulae : 435 ( 430 unt; 0 def)
% Number of atoms : 447 ( 446 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 5 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 821 ( 0 sgn; 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f07,axiom,
! [X3,X1,X2] : mult(X2,mult(X1,X3)) = mult(rd(mult(X2,X1),X2),mult(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.JDg3vVaah9/E---3.1_22572.p',f07) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.JDg3vVaah9/E---3.1_22572.p',f01) ).
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/tmp/tmp.JDg3vVaah9/E---3.1_22572.p',f04) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.JDg3vVaah9/E---3.1_22572.p',f02) ).
fof(f08,axiom,
! [X3,X1,X2] : mult(mult(X2,X1),X3) = mult(mult(X2,X3),ld(X3,mult(X1,X3))),
file('/export/starexec/sandbox2/tmp/tmp.JDg3vVaah9/E---3.1_22572.p',f08) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/tmp/tmp.JDg3vVaah9/E---3.1_22572.p',f03) ).
fof(f05,axiom,
! [X2] : mult(X2,unit) = X2,
file('/export/starexec/sandbox2/tmp/tmp.JDg3vVaah9/E---3.1_22572.p',f05) ).
fof(f06,axiom,
! [X2] : mult(unit,X2) = X2,
file('/export/starexec/sandbox2/tmp/tmp.JDg3vVaah9/E---3.1_22572.p',f06) ).
fof(goals,conjecture,
! [X4,X5,X6,X7] :
( mult(X4,X5) = unit
=> ( mult(mult(X5,X4),mult(X6,X7)) = mult(mult(mult(X5,X4),X6),X7)
& mult(mult(X6,mult(X5,X4)),X7) = mult(X6,mult(mult(X5,X4),X7))
& mult(mult(X6,X7),mult(X5,X4)) = mult(X6,mult(X7,mult(X5,X4))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JDg3vVaah9/E---3.1_22572.p',goals) ).
fof(c_0_9,plain,
! [X18,X19,X20] : mult(X20,mult(X19,X18)) = mult(rd(mult(X20,X19),X20),mult(X20,X18)),
inference(variable_rename,[status(thm)],[f07]) ).
fof(c_0_10,plain,
! [X8,X9] : mult(X9,ld(X9,X8)) = X8,
inference(variable_rename,[status(thm)],[f01]) ).
fof(c_0_11,plain,
! [X14,X15] : rd(mult(X15,X14),X14) = X15,
inference(variable_rename,[status(thm)],[f04]) ).
cnf(c_0_12,plain,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
mult(rd(mult(X1,X2),X1),X3) = mult(X1,mult(X2,ld(X1,X3))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_16,plain,
! [X10,X11] : ld(X11,mult(X11,X10)) = X10,
inference(variable_rename,[status(thm)],[f02]) ).
fof(c_0_17,plain,
! [X21,X22,X23] : mult(mult(X23,X22),X21) = mult(mult(X23,X21),ld(X21,mult(X22,X21))),
inference(variable_rename,[status(thm)],[f08]) ).
cnf(c_0_18,plain,
rd(mult(X1,mult(X2,ld(X1,X3))),X3) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X12,X13] : mult(rd(X13,X12),X12) = X13,
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_22,plain,
rd(mult(X1,mult(X2,X3)),mult(X1,X3)) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_23,plain,
! [X16] : mult(X16,unit) = X16,
inference(variable_rename,[status(thm)],[f05]) ).
cnf(c_0_24,plain,
ld(mult(X1,X2),mult(mult(X1,X3),X2)) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X17] : mult(unit,X17) = X17,
inference(variable_rename,[status(thm)],[f06]) ).
cnf(c_0_27,plain,
rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1),
inference(spm,[status(thm)],[c_0_22,c_0_13]) ).
cnf(c_0_28,plain,
mult(X1,unit) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
ld(mult(rd(X1,X2),X3),mult(X1,X3)) = ld(X3,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
mult(unit,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_32,plain,
rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_34,plain,
ld(mult(rd(unit,X1),X2),X2) = ld(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
ld(rd(mult(X1,X2),X1),X1) = mult(X1,ld(X2,unit)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
rd(X1,ld(X1,mult(X2,X1))) = mult(rd(unit,X2),X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
mult(X1,ld(ld(X1,X2),unit)) = ld(rd(X2,X1),X1),
inference(spm,[status(thm)],[c_0_35,c_0_13]) ).
cnf(c_0_38,plain,
mult(rd(unit,rd(X1,X2)),X2) = rd(X2,ld(X2,X1)),
inference(spm,[status(thm)],[c_0_36,c_0_25]) ).
cnf(c_0_39,plain,
ld(X1,ld(rd(X2,X1),X1)) = ld(ld(X1,X2),unit),
inference(spm,[status(thm)],[c_0_19,c_0_37]) ).
cnf(c_0_40,plain,
rd(mult(mult(X1,X2),X3),ld(X3,mult(X2,X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_41,plain,
mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_42,plain,
rd(rd(X1,ld(X1,X2)),X1) = rd(unit,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_38]) ).
cnf(c_0_43,plain,
ld(ld(X1,mult(X2,X1)),unit) = ld(X1,ld(X2,X1)),
inference(spm,[status(thm)],[c_0_39,c_0_14]) ).
cnf(c_0_44,plain,
rd(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_45,plain,
rd(mult(X1,ld(X2,mult(X3,X2))),X2) = mult(rd(X1,X2),X3),
inference(spm,[status(thm)],[c_0_14,c_0_41]) ).
cnf(c_0_46,plain,
rd(unit,rd(mult(X1,X2),X1)) = rd(rd(X1,X2),X1),
inference(spm,[status(thm)],[c_0_42,c_0_19]) ).
cnf(c_0_47,plain,
rd(unit,ld(X1,ld(X2,X1))) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_33,c_0_43]) ).
cnf(c_0_48,plain,
rd(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,rd(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_44,c_0_25]) ).
cnf(c_0_49,plain,
rd(ld(X1,mult(X2,X1)),X1) = mult(rd(unit,X1),X2),
inference(spm,[status(thm)],[c_0_45,c_0_30]) ).
cnf(c_0_50,plain,
ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_31,c_0_46]) ).
cnf(c_0_51,plain,
ld(X1,mult(ld(X2,X3),X1)) = ld(mult(X2,X1),mult(X3,X1)),
inference(spm,[status(thm)],[c_0_24,c_0_13]) ).
cnf(c_0_52,plain,
ld(X1,mult(rd(X1,X2),X1)) = rd(unit,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_47,c_0_31]) ).
cnf(c_0_53,plain,
mult(rd(rd(X1,X2),rd(X3,X2)),X2) = rd(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_48,c_0_25]) ).
cnf(c_0_54,plain,
rd(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_22,c_0_25]) ).
cnf(c_0_55,plain,
mult(rd(unit,X1),rd(X2,X1)) = rd(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_49,c_0_25]) ).
cnf(c_0_56,plain,
rd(mult(X1,ld(X2,X1)),X1) = ld(rd(X2,X1),unit),
inference(spm,[status(thm)],[c_0_50,c_0_33]) ).
cnf(c_0_57,plain,
ld(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_58,plain,
mult(X1,ld(mult(X2,X1),mult(X3,X1))) = mult(ld(X2,X3),X1),
inference(spm,[status(thm)],[c_0_13,c_0_51]) ).
cnf(c_0_59,plain,
rd(rd(unit,ld(X1,X2)),X1) = mult(rd(unit,X1),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_49,c_0_52]) ).
cnf(c_0_60,plain,
rd(rd(X1,ld(X2,X3)),X2) = rd(rd(X1,X2),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_53]) ).
cnf(c_0_61,plain,
mult(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,rd(X2,X3)),
inference(spm,[status(thm)],[c_0_25,c_0_54]) ).
cnf(c_0_62,plain,
mult(rd(unit,X1),ld(rd(X2,X1),unit)) = rd(ld(X2,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_19]) ).
cnf(c_0_63,plain,
rd(X1,unit) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_64,plain,
ld(rd(mult(X1,X2),X1),X3) = mult(X1,ld(X2,ld(X1,X3))),
inference(spm,[status(thm)],[c_0_57,c_0_13]) ).
cnf(c_0_65,plain,
mult(X1,mult(X2,ld(X1,ld(rd(mult(X1,X2),X1),X3)))) = X3,
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_66,plain,
mult(X1,mult(X2,ld(X1,unit))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_28,c_0_15]) ).
cnf(c_0_67,plain,
mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))),
inference(spm,[status(thm)],[c_0_58,c_0_25]) ).
cnf(c_0_68,plain,
rd(rd(unit,X1),rd(X2,X1)) = mult(rd(unit,X1),rd(X1,X2)),
inference(rw,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,plain,
mult(X1,rd(ld(X1,X2),X3)) = mult(rd(X2,mult(X1,X3)),X1),
inference(spm,[status(thm)],[c_0_61,c_0_13]) ).
cnf(c_0_70,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_71,plain,
mult(rd(X1,X2),rd(ld(X1,X2),X2)) = rd(rd(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_62]),c_0_63]),c_0_54]),c_0_28]),c_0_25]) ).
cnf(c_0_72,plain,
mult(X1,ld(ld(X1,X2),ld(X1,X3))) = ld(rd(X2,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_64]),c_0_19]),c_0_13]) ).
cnf(c_0_73,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_19,c_0_66]) ).
cnf(c_0_74,plain,
rd(mult(X1,ld(X2,mult(X3,X1))),X1) = ld(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_14,c_0_67]) ).
cnf(c_0_75,plain,
mult(X1,rd(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_61,c_0_13]) ).
cnf(c_0_76,plain,
rd(X1,rd(X2,ld(X1,unit))) = mult(rd(unit,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_32]),c_0_30]),c_0_63]),c_0_30]),c_0_30]),c_0_63]),c_0_30]),c_0_69]) ).
cnf(c_0_77,plain,
mult(rd(rd(X1,X2),X1),X2) = mult(X1,ld(X2,ld(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_25]) ).
cnf(c_0_78,plain,
ld(ld(X1,X2),ld(X1,X3)) = ld(X1,ld(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_19,c_0_72]) ).
cnf(c_0_79,plain,
ld(X1,ld(rd(X2,X1),X3)) = mult(ld(X2,mult(X3,X1)),ld(X1,unit)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
ld(X1,mult(rd(mult(X1,X2),X3),X1)) = rd(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_19,c_0_75]) ).
cnf(c_0_81,plain,
ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_76]),c_0_34]) ).
cnf(c_0_82,plain,
mult(X1,rd(unit,ld(X1,X2))) = mult(rd(X1,X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_52]) ).
cnf(c_0_83,plain,
rd(rd(ld(X1,X2),X1),rd(X2,X1)) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_14,c_0_55]) ).
cnf(c_0_84,plain,
ld(mult(X1,ld(X2,ld(X1,X2))),X1) = ld(X2,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_77]),c_0_25]) ).
cnf(c_0_85,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(ld(X2,mult(X3,X1)),ld(X1,unit)),
inference(rw,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,plain,
rd(rd(X1,X2),rd(X3,X2)) = mult(rd(unit,X2),rd(mult(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_80]),c_0_60]) ).
cnf(c_0_87,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_14,c_0_30]) ).
cnf(c_0_88,plain,
mult(mult(rd(X1,rd(X2,X3)),X3),ld(X3,X2)) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_70,c_0_25]) ).
cnf(c_0_89,plain,
rd(mult(mult(X1,X2),X1),rd(X2,ld(X1,unit))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_81]) ).
cnf(c_0_90,plain,
mult(rd(X1,mult(X1,X2)),X1) = mult(X1,rd(unit,X2)),
inference(spm,[status(thm)],[c_0_82,c_0_19]) ).
cnf(c_0_91,plain,
rd(rd(X1,X2),rd(mult(X2,X1),X2)) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_83,c_0_19]) ).
cnf(c_0_92,plain,
ld(ld(rd(X1,X2),ld(X2,X1)),X2) = ld(ld(X2,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_66]),c_0_74]),c_0_13]) ).
cnf(c_0_93,plain,
ld(mult(rd(rd(X1,X2),X3),X2),X1) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_94,plain,
mult(rd(unit,X1),rd(mult(X1,X1),X2)) = rd(unit,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,plain,
mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_96,plain,
mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_58,c_0_25]) ).
cnf(c_0_97,plain,
mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_25,c_0_56]) ).
cnf(c_0_98,plain,
mult(mult(mult(X1,X2),X1),ld(X1,unit)) = ld(ld(X1,unit),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_13]),c_0_30]) ).
cnf(c_0_99,plain,
mult(rd(unit,X1),rd(X1,mult(X1,X2))) = rd(rd(unit,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_90]),c_0_19]) ).
cnf(c_0_100,plain,
rd(X1,rd(mult(X2,mult(X1,X2)),X2)) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_91,c_0_14]) ).
cnf(c_0_101,plain,
ld(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_19,c_0_69]) ).
cnf(c_0_102,plain,
rd(rd(X1,ld(X2,mult(X3,X1))),X1) = rd(unit,ld(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_46,c_0_74]) ).
cnf(c_0_103,plain,
rd(X1,ld(ld(X1,X2),X2)) = ld(rd(X2,X1),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_33,c_0_92]) ).
cnf(c_0_104,plain,
rd(X1,ld(X2,mult(X3,X2))) = mult(rd(rd(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_33,c_0_93]) ).
cnf(c_0_105,plain,
rd(rd(unit,rd(X1,X2)),rd(mult(X2,X2),X1)) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_14,c_0_94]) ).
cnf(c_0_106,plain,
mult(mult(rd(unit,X1),X2),ld(X2,mult(X1,X3))) = mult(X1,mult(ld(X1,X2),ld(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_13]),c_0_60]),c_0_86]),c_0_70]) ).
cnf(c_0_107,plain,
mult(rd(X1,rd(mult(X2,X3),X2)),X2) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_48,c_0_19]) ).
cnf(c_0_108,plain,
mult(X1,ld(mult(X2,X1),X1)) = mult(ld(X2,unit),X1),
inference(spm,[status(thm)],[c_0_97,c_0_14]) ).
cnf(c_0_109,plain,
ld(X1,rd(X1,mult(X1,X2))) = mult(rd(unit,X2),ld(X1,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_31]),c_0_70]),c_0_25]),c_0_31]) ).
cnf(c_0_110,plain,
rd(rd(mult(X1,X2),X1),mult(X2,ld(X1,unit))) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_66]) ).
cnf(c_0_111,plain,
ld(rd(unit,X1),X2) = rd(mult(X1,mult(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_31,c_0_100]) ).
cnf(c_0_112,plain,
mult(ld(X1,X2),ld(X1,unit)) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_73,c_0_13]) ).
cnf(c_0_113,plain,
mult(X1,ld(rd(ld(X1,X2),X3),unit)) = ld(rd(X2,mult(X1,X3)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_101]),c_0_14]) ).
cnf(c_0_114,plain,
rd(ld(X1,ld(X2,mult(X1,X2))),X2) = mult(rd(rd(unit,X1),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_14]),c_0_49]),c_0_34]),c_0_104]) ).
cnf(c_0_115,plain,
mult(X1,mult(ld(X1,X2),ld(X2,X1))) = mult(rd(unit,rd(X2,X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_105]),c_0_106]) ).
cnf(c_0_116,plain,
rd(mult(X1,X2),ld(mult(X3,X2),X2)) = mult(rd(X1,ld(X3,unit)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_14]) ).
cnf(c_0_117,plain,
mult(rd(unit,rd(X1,mult(X1,X2))),X1) = rd(X1,rd(unit,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_99]),c_0_86]),c_0_28]),c_0_19]),c_0_31]) ).
cnf(c_0_118,plain,
rd(rd(rd(X1,X2),X1),rd(ld(X1,X2),X2)) = rd(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_62]),c_0_54]),c_0_28]),c_0_25]) ).
cnf(c_0_119,plain,
mult(rd(unit,ld(rd(unit,X1),X2)),X1) = rd(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_111]),c_0_19]) ).
cnf(c_0_120,plain,
mult(rd(unit,ld(X1,X2)),ld(X1,unit)) = ld(X1,rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_52]),c_0_14]) ).
cnf(c_0_121,plain,
rd(mult(mult(X1,X2),ld(X2,X3)),X2) = mult(X1,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_70]) ).
cnf(c_0_122,plain,
ld(rd(ld(X1,mult(X2,X1)),mult(X2,X1)),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_93]),c_0_13]) ).
cnf(c_0_123,plain,
ld(X1,mult(rd(unit,rd(X2,X1)),X2)) = mult(ld(X1,X2),ld(X2,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_115]) ).
cnf(c_0_124,plain,
mult(rd(X1,rd(X2,mult(X2,X3))),X2) = rd(mult(X1,X2),rd(unit,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_31]),c_0_31]) ).
cnf(c_0_125,plain,
ld(mult(rd(X1,X2),X1),rd(X1,X2)) = ld(X1,mult(rd(ld(X1,X2),X2),X1)),
inference(spm,[status(thm)],[c_0_93,c_0_118]) ).
cnf(c_0_126,plain,
rd(ld(X1,unit),mult(X2,ld(X1,unit))) = ld(X1,rd(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_32]),c_0_30]),c_0_63]),c_0_30]),c_0_120]),c_0_30]),c_0_30]) ).
cnf(c_0_127,plain,
ld(X1,ld(rd(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_78,c_0_19]) ).
cnf(c_0_128,plain,
rd(mult(mult(X1,X2),X3),X2) = mult(X1,rd(mult(X2,X3),X2)),
inference(spm,[status(thm)],[c_0_121,c_0_19]) ).
cnf(c_0_129,plain,
rd(ld(X1,mult(X2,X1)),mult(X2,X1)) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_33,c_0_122]) ).
cnf(c_0_130,plain,
ld(mult(X1,X2),rd(X1,rd(unit,X2))) = mult(ld(mult(X1,X2),X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_30]),c_0_19]) ).
cnf(c_0_131,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_95,c_0_19]) ).
cnf(c_0_132,plain,
ld(mult(X1,X2),rd(mult(X1,X2),X1)) = ld(mult(X2,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_32]),c_0_25]),c_0_19]),c_0_126]),c_0_96]),c_0_19]) ).
cnf(c_0_133,plain,
rd(mult(rd(X1,X2),X1),rd(unit,ld(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_52]) ).
cnf(c_0_134,plain,
ld(rd(X1,X2),mult(X2,X3)) = mult(X2,ld(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_13,c_0_127]) ).
cnf(c_0_135,plain,
ld(X1,mult(rd(X2,X1),X3)) = mult(ld(X1,X2),ld(X1,X3)),
inference(spm,[status(thm)],[c_0_19,c_0_95]) ).
cnf(c_0_136,plain,
mult(rd(X1,X2),rd(mult(X2,X3),X2)) = rd(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_128,c_0_25]) ).
cnf(c_0_137,plain,
ld(ld(X1,X2),mult(X3,ld(X1,X2))) = ld(X2,mult(mult(X1,X3),ld(X1,X2))),
inference(spm,[status(thm)],[c_0_24,c_0_13]) ).
cnf(c_0_138,plain,
rd(rd(X1,X2),mult(X2,rd(X1,X2))) = rd(ld(X2,X1),X1),
inference(spm,[status(thm)],[c_0_129,c_0_25]) ).
cnf(c_0_139,plain,
ld(rd(X1,X2),rd(rd(X1,X2),X1)) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_19,c_0_71]) ).
cnf(c_0_140,plain,
ld(X1,mult(X2,mult(ld(X2,unit),X1))) = mult(X2,ld(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_130,c_0_86]),c_0_25]),c_0_63]),c_0_131]),c_0_25]),c_0_96]) ).
cnf(c_0_141,plain,
ld(mult(ld(X1,X2),X1),ld(X1,X2)) = ld(X2,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_65]),c_0_64]),c_0_19]),c_0_13]),c_0_64]),c_0_19]),c_0_13]) ).
cnf(c_0_142,plain,
rd(mult(X1,ld(mult(X2,X1),X3)),X1) = ld(X2,rd(X3,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_96]) ).
cnf(c_0_143,plain,
rd(mult(X1,ld(X2,X3)),X2) = mult(rd(X1,X2),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_45,c_0_25]) ).
cnf(c_0_144,plain,
mult(mult(rd(X1,X2),X1),ld(X1,X2)) = mult(X2,ld(ld(X1,X2),unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_133]),c_0_13]) ).
cnf(c_0_145,plain,
ld(ld(rd(X1,X2),unit),mult(X2,X3)) = mult(X2,ld(ld(X1,X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_56]),c_0_19]) ).
cnf(c_0_146,plain,
mult(ld(X1,mult(X2,X1)),ld(X1,X3)) = ld(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_135,c_0_14]) ).
cnf(c_0_147,plain,
mult(rd(X1,X2),ld(rd(X3,X2),X4)) = rd(mult(X1,ld(X3,mult(X4,X2))),X2),
inference(spm,[status(thm)],[c_0_136,c_0_74]) ).
cnf(c_0_148,plain,
mult(rd(unit,X1),ld(X2,mult(X1,X2))) = ld(X1,ld(X2,mult(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_114]),c_0_41]) ).
cnf(c_0_149,plain,
ld(X1,mult(mult(X2,X2),ld(X2,X1))) = ld(ld(X2,X1),X1),
inference(spm,[status(thm)],[c_0_137,c_0_13]) ).
cnf(c_0_150,plain,
ld(rd(ld(X1,X2),X2),rd(X2,X1)) = mult(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_31,c_0_138]) ).
cnf(c_0_151,plain,
rd(ld(X1,ld(X2,X1)),ld(X2,X1)) = ld(X2,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_139,c_0_33]) ).
cnf(c_0_152,plain,
ld(ld(X1,X2),mult(rd(unit,X1),X2)) = mult(X1,ld(X2,rd(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_95]),c_0_141]) ).
cnf(c_0_153,plain,
ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2),
inference(spm,[status(thm)],[c_0_142,c_0_25]) ).
cnf(c_0_154,plain,
rd(mult(X1,ld(ld(X2,X1),unit)),X2) = mult(rd(X2,X1),rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_14]) ).
cnf(c_0_155,plain,
mult(X1,ld(ld(mult(X2,X1),X1),X3)) = ld(ld(X2,unit),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_145,c_0_14]) ).
cnf(c_0_156,plain,
rd(ld(X1,mult(X2,X3)),ld(X1,X3)) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_146]) ).
cnf(c_0_157,plain,
rd(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_80,c_0_33]) ).
cnf(c_0_158,plain,
rd(ld(ld(X1,X2),X2),X1) = ld(ld(X1,X2),rd(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_147,c_0_148]),c_0_134]),c_0_19]),c_0_70]),c_0_149]),c_0_30]) ).
fof(c_0_159,negated_conjecture,
~ ! [X4,X5,X6,X7] :
( mult(X4,X5) = unit
=> ( mult(mult(X5,X4),mult(X6,X7)) = mult(mult(mult(X5,X4),X6),X7)
& mult(mult(X6,mult(X5,X4)),X7) = mult(X6,mult(mult(X5,X4),X7))
& mult(mult(X6,X7),mult(X5,X4)) = mult(X6,mult(X7,mult(X5,X4))) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_160,plain,
ld(ld(X1,X2),ld(X2,rd(X2,X1))) = mult(ld(X2,X1),ld(X2,rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_151]),c_0_33]) ).
cnf(c_0_161,plain,
ld(mult(X1,ld(X2,unit)),rd(X1,X2)) = mult(X2,ld(X1,rd(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_136]),c_0_73]),c_0_30]),c_0_153]),c_0_132]),c_0_142]) ).
cnf(c_0_162,plain,
rd(ld(ld(X1,unit),X2),mult(X1,X2)) = mult(X1,rd(X2,mult(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_28]),c_0_14]) ).
cnf(c_0_163,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_30]) ).
cnf(c_0_164,plain,
rd(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_156,c_0_25]) ).
cnf(c_0_165,plain,
ld(ld(X1,mult(X2,X1)),X3) = ld(X1,ld(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_31,c_0_157]) ).
cnf(c_0_166,plain,
mult(X1,ld(mult(ld(X1,X2),X1),X2)) = ld(ld(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_158]),c_0_96]) ).
fof(c_0_167,negated_conjecture,
( mult(esk1_0,esk2_0) = unit
& ( mult(mult(esk2_0,esk1_0),mult(esk3_0,esk4_0)) != mult(mult(mult(esk2_0,esk1_0),esk3_0),esk4_0)
| mult(mult(esk3_0,mult(esk2_0,esk1_0)),esk4_0) != mult(esk3_0,mult(mult(esk2_0,esk1_0),esk4_0))
| mult(mult(esk3_0,esk4_0),mult(esk2_0,esk1_0)) != mult(esk3_0,mult(esk4_0,mult(esk2_0,esk1_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_159])])]) ).
cnf(c_0_168,plain,
ld(ld(X1,unit),rd(X2,mult(X1,X2))) = mult(X1,rd(X2,mult(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_160]),c_0_146]),c_0_13]),c_0_13]) ).
cnf(c_0_169,plain,
mult(ld(X1,rd(X1,X2)),ld(X1,X2)) = ld(X2,ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_77]),c_0_19]) ).
cnf(c_0_170,plain,
ld(mult(mult(X1,X2),ld(X2,unit)),X1) = mult(X2,ld(mult(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_161,c_0_14]) ).
cnf(c_0_171,plain,
rd(mult(mult(X1,X2),ld(X2,unit)),X1) = mult(rd(X1,mult(X2,X1)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_65]),c_0_64]),c_0_19]),c_0_13]),c_0_85]),c_0_163]),c_0_64]),c_0_19]),c_0_13]),c_0_69]) ).
cnf(c_0_172,plain,
mult(rd(rd(ld(X1,X2),X1),X3),X1) = ld(X1,mult(rd(X2,mult(X3,X1)),X1)),
inference(spm,[status(thm)],[c_0_104,c_0_164]) ).
cnf(c_0_173,plain,
ld(X1,ld(ld(X2,X3),mult(X1,X4))) = ld(ld(mult(X2,X1),mult(X3,X1)),X4),
inference(spm,[status(thm)],[c_0_165,c_0_51]) ).
cnf(c_0_174,plain,
ld(X1,ld(ld(X1,X2),X2)) = ld(mult(ld(X1,X2),X1),X2),
inference(spm,[status(thm)],[c_0_19,c_0_166]) ).
cnf(c_0_175,plain,
rd(mult(X1,ld(ld(X1,X2),X2)),X1) = mult(X1,ld(ld(X1,X2),rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_55]),c_0_30]),c_0_153]),c_0_134]) ).
cnf(c_0_176,negated_conjecture,
mult(esk1_0,esk2_0) = unit,
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_177,plain,
ld(ld(ld(X1,rd(X1,X2)),unit),X2) = mult(X2,ld(mult(X1,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_33]),c_0_33]),c_0_96]) ).
cnf(c_0_178,plain,
rd(X1,mult(X2,ld(mult(X1,X2),X1))) = mult(mult(X1,X2),ld(X2,unit)),
inference(spm,[status(thm)],[c_0_33,c_0_170]) ).
cnf(c_0_179,plain,
rd(mult(X1,ld(X2,unit)),rd(X1,X2)) = mult(rd(ld(X2,X1),X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_25]),c_0_138]) ).
cnf(c_0_180,plain,
rd(rd(ld(X1,X2),X1),X3) = mult(rd(unit,X1),rd(X2,mult(X3,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_172]),c_0_49]) ).
cnf(c_0_181,plain,
ld(X1,ld(X2,mult(X1,X2))) = ld(mult(X2,X1),mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_19]),c_0_24]),c_0_165]) ).
cnf(c_0_182,plain,
mult(ld(ld(X1,X2),X2),ld(X1,unit)) = ld(ld(X1,X2),rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_175]),c_0_19]) ).
cnf(c_0_183,negated_conjecture,
ld(esk2_0,mult(X1,esk2_0)) = mult(mult(esk1_0,X1),esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_176]),c_0_30]) ).
cnf(c_0_184,plain,
ld(mult(X1,ld(mult(X2,X1),X2)),X1) = rd(unit,ld(mult(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_177]),c_0_19]),c_0_51]),c_0_96]),c_0_30]) ).
cnf(c_0_185,plain,
rd(X1,mult(ld(X1,X2),ld(X2,X1))) = mult(X2,ld(ld(X1,X2),unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_65]),c_0_64]),c_0_19]),c_0_13]),c_0_64]),c_0_19]),c_0_13]) ).
cnf(c_0_186,plain,
rd(ld(X1,X2),mult(rd(unit,X1),X2)) = mult(rd(ld(X1,X2),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_179,c_0_49]),c_0_112]),c_0_14]),c_0_104]),c_0_180]),c_0_129]),c_0_41]),c_0_101]),c_0_30]) ).
cnf(c_0_187,plain,
mult(X1,mult(rd(rd(X2,X1),X3),X1)) = mult(rd(mult(X1,X2),mult(X3,X1)),X1),
inference(spm,[status(thm)],[c_0_75,c_0_104]) ).
cnf(c_0_188,plain,
ld(ld(X1,X2),rd(X2,X1)) = ld(X2,mult(X1,rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_181]),c_0_25]),c_0_70]),c_0_149]),c_0_182]) ).
cnf(c_0_189,plain,
rd(ld(X1,X2),rd(X2,X1)) = ld(X1,rd(X2,rd(X2,X1))),
inference(spm,[status(thm)],[c_0_158,c_0_31]) ).
cnf(c_0_190,negated_conjecture,
ld(mult(X1,esk2_0),mult(X2,esk2_0)) = mult(mult(esk1_0,ld(X1,X2)),esk2_0),
inference(spm,[status(thm)],[c_0_183,c_0_51]) ).
cnf(c_0_191,negated_conjecture,
mult(esk2_0,mult(mult(esk1_0,X1),esk2_0)) = mult(X1,esk2_0),
inference(spm,[status(thm)],[c_0_13,c_0_183]) ).
cnf(c_0_192,plain,
mult(X1,mult(X2,ld(mult(X1,X2),X1))) = mult(X2,mult(ld(X2,unit),X1)),
inference(spm,[status(thm)],[c_0_13,c_0_140]) ).
cnf(c_0_193,plain,
rd(X1,mult(X2,ld(X3,ld(X2,X1)))) = rd(mult(X2,X3),X2),
inference(spm,[status(thm)],[c_0_27,c_0_13]) ).
cnf(c_0_194,plain,
ld(mult(ld(X1,X2),ld(X2,X1)),ld(X1,X2)) = rd(unit,ld(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_65]),c_0_64]),c_0_19]),c_0_13]),c_0_64]),c_0_19]),c_0_13]) ).
cnf(c_0_195,plain,
rd(mult(rd(unit,rd(X1,X2)),X1),X2) = ld(mult(rd(X2,X1),rd(X1,X2)),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_185]),c_0_154]),c_0_115]) ).
cnf(c_0_196,plain,
rd(mult(mult(X1,ld(X2,unit)),X2),X1) = mult(rd(ld(X2,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_186,c_0_136]),c_0_73]),c_0_30]),c_0_179]),c_0_73]),c_0_107]) ).
cnf(c_0_197,plain,
mult(X1,mult(rd(X2,rd(X3,X1)),X1)) = mult(rd(mult(X1,mult(X2,X1)),X3),X1),
inference(spm,[status(thm)],[c_0_75,c_0_48]) ).
cnf(c_0_198,plain,
mult(mult(rd(X1,mult(X2,X1)),X2),X1) = mult(mult(X1,X2),ld(X2,unit)),
inference(spm,[status(thm)],[c_0_25,c_0_171]) ).
cnf(c_0_199,plain,
ld(rd(unit,X1),rd(rd(X2,X1),X3)) = rd(mult(X1,X2),mult(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_187]),c_0_14]) ).
cnf(c_0_200,plain,
rd(rd(X1,X2),ld(X1,mult(X2,rd(X1,X2)))) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_33,c_0_188]) ).
cnf(c_0_201,plain,
mult(ld(X1,mult(X2,rd(X1,X2))),X2) = ld(ld(X2,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_188]),c_0_166]) ).
cnf(c_0_202,plain,
mult(X1,mult(X2,mult(X3,ld(X1,unit)))) = rd(mult(mult(X1,X2),X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_136]),c_0_73]) ).
cnf(c_0_203,plain,
rd(mult(X1,ld(X2,mult(X3,X2))),X3) = mult(rd(X1,X2),rd(mult(X3,X2),X3)),
inference(spm,[status(thm)],[c_0_128,c_0_41]) ).
cnf(c_0_204,plain,
mult(rd(X1,mult(X2,rd(X1,X2))),X2) = rd(X1,rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_189]),c_0_13]) ).
cnf(c_0_205,negated_conjecture,
rd(mult(esk1_0,X1),esk1_0) = mult(esk1_0,mult(X1,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_176]),c_0_28]) ).
cnf(c_0_206,negated_conjecture,
mult(mult(esk1_0,ld(X1,esk1_0)),esk2_0) = ld(mult(X1,esk2_0),unit),
inference(spm,[status(thm)],[c_0_190,c_0_176]) ).
cnf(c_0_207,negated_conjecture,
mult(ld(esk1_0,X1),esk2_0) = mult(esk2_0,mult(X1,esk2_0)),
inference(spm,[status(thm)],[c_0_191,c_0_13]) ).
cnf(c_0_208,plain,
rd(mult(X1,mult(ld(X1,unit),X2)),X2) = ld(mult(rd(X2,mult(X1,X2)),X1),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_170]),c_0_192]),c_0_171]) ).
cnf(c_0_209,plain,
mult(ld(X1,X2),mult(X3,ld(X1,unit))) = ld(X1,rd(mult(X2,X3),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_73]) ).
cnf(c_0_210,plain,
rd(X1,mult(X2,rd(unit,ld(X1,X2)))) = ld(mult(rd(X2,X1),rd(X1,X2)),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_115]),c_0_195]) ).
cnf(c_0_211,plain,
rd(X1,ld(rd(X2,X1),ld(X3,X2))) = ld(rd(X2,X1),mult(X3,rd(X2,X1))),
inference(spm,[status(thm)],[c_0_157,c_0_25]) ).
cnf(c_0_212,plain,
mult(ld(X1,X2),ld(X2,mult(X1,X2))) = mult(mult(X2,ld(X1,unit)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_196]),c_0_41]) ).
cnf(c_0_213,plain,
ld(rd(unit,X1),rd(X2,rd(X3,X1))) = rd(mult(X1,mult(X2,X1)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_197]),c_0_14]) ).
cnf(c_0_214,plain,
mult(rd(X1,mult(X2,X1)),rd(mult(X2,X1),X2)) = mult(X1,rd(unit,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_198]),c_0_143]),c_0_14]) ).
cnf(c_0_215,plain,
rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_107]) ).
cnf(c_0_216,plain,
rd(mult(X1,X2),ld(ld(X1,X2),X2)) = ld(rd(unit,X1),ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]) ).
cnf(c_0_217,plain,
ld(X1,rd(mult(mult(X1,X2),X3),X1)) = mult(X2,mult(X3,ld(X1,unit))),
inference(spm,[status(thm)],[c_0_19,c_0_202]) ).
cnf(c_0_218,plain,
mult(rd(unit,X1),rd(mult(X2,X1),X2)) = rd(ld(X1,mult(X2,X1)),X2),
inference(spm,[status(thm)],[c_0_203,c_0_30]) ).
cnf(c_0_219,plain,
rd(ld(X1,mult(X2,X1)),X2) = ld(X1,rd(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_158,c_0_19]) ).
cnf(c_0_220,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_221,plain,
rd(rd(X1,rd(X1,X2)),X2) = rd(X1,mult(X2,rd(X1,X2))),
inference(spm,[status(thm)],[c_0_14,c_0_204]) ).
cnf(c_0_222,negated_conjecture,
mult(mult(esk1_0,mult(X1,esk2_0)),esk1_0) = mult(esk1_0,X1),
inference(spm,[status(thm)],[c_0_25,c_0_205]) ).
cnf(c_0_223,negated_conjecture,
mult(esk2_0,ld(mult(X1,esk2_0),unit)) = mult(ld(X1,esk1_0),esk2_0),
inference(spm,[status(thm)],[c_0_191,c_0_206]) ).
cnf(c_0_224,negated_conjecture,
rd(mult(esk2_0,mult(X1,esk2_0)),esk2_0) = ld(esk1_0,X1),
inference(spm,[status(thm)],[c_0_14,c_0_207]) ).
cnf(c_0_225,negated_conjecture,
mult(esk1_0,mult(ld(esk1_0,X1),esk2_0)) = rd(X1,esk1_0),
inference(spm,[status(thm)],[c_0_205,c_0_13]) ).
cnf(c_0_226,plain,
rd(rd(X1,X2),mult(X1,ld(X2,unit))) = ld(mult(rd(ld(X2,X1),X1),X2),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_30]),c_0_13]),c_0_66]),c_0_107]),c_0_196]) ).
cnf(c_0_227,plain,
ld(mult(rd(ld(X1,X2),X2),X1),unit) = rd(X2,mult(mult(X2,ld(X1,unit)),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_210,c_0_211]),c_0_63]),c_0_63]),c_0_63]),c_0_212]),c_0_63]),c_0_63]),c_0_33]) ).
cnf(c_0_228,plain,
ld(X1,rd(X2,rd(X3,ld(X1,unit)))) = rd(ld(X1,rd(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(spm,[status(thm)],[c_0_213,c_0_32]),c_0_30]),c_0_63]),c_0_30]),c_0_30]),c_0_30]),c_0_209]),c_0_30]) ).
cnf(c_0_229,plain,
rd(mult(X1,rd(unit,X2)),rd(mult(X2,X1),X2)) = rd(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_214]) ).
cnf(c_0_230,plain,
rd(ld(rd(unit,X1),ld(X1,X2)),X2) = rd(X1,ld(rd(ld(X1,X2),X2),unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_56]) ).
cnf(c_0_231,plain,
ld(X1,mult(rd(X1,mult(X2,X1)),X2)) = mult(X2,mult(ld(X2,unit),ld(X1,unit))),
inference(spm,[status(thm)],[c_0_217,c_0_171]) ).
cnf(c_0_232,plain,
mult(rd(unit,X1),rd(mult(X2,X1),X2)) = ld(X1,rd(mult(X2,X1),X2)),
inference(rw,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_233,plain,
mult(X1,mult(X2,ld(X1,ld(X2,unit)))) = rd(X1,rd(mult(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_77]),c_0_64]),c_0_220]),c_0_19]),c_0_15]),c_0_25]),c_0_215]) ).
cnf(c_0_234,plain,
rd(X1,rd(mult(X2,X1),X2)) = rd(mult(X1,X2),mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_221]),c_0_14]),c_0_14]) ).
cnf(c_0_235,plain,
mult(rd(unit,X1),rd(mult(X1,X2),mult(X3,X1))) = rd(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_86,c_0_14]) ).
cnf(c_0_236,plain,
rd(ld(X1,X2),mult(X3,ld(X1,unit))) = ld(X1,rd(mult(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_73]),c_0_107]) ).
cnf(c_0_237,negated_conjecture,
mult(esk1_0,rd(X1,esk2_0)) = mult(mult(esk1_0,X1),esk1_0),
inference(spm,[status(thm)],[c_0_222,c_0_25]) ).
cnf(c_0_238,negated_conjecture,
ld(esk1_0,unit) = esk2_0,
inference(spm,[status(thm)],[c_0_19,c_0_176]) ).
cnf(c_0_239,negated_conjecture,
rd(esk2_0,mult(ld(X1,esk1_0),esk2_0)) = ld(esk1_0,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_223]),c_0_28]),c_0_224]) ).
cnf(c_0_240,negated_conjecture,
mult(mult(esk1_0,ld(X1,unit)),esk2_0) = ld(mult(X1,esk2_0),esk2_0),
inference(spm,[status(thm)],[c_0_190,c_0_30]) ).
cnf(c_0_241,negated_conjecture,
mult(esk1_0,mult(esk2_0,mult(X1,esk2_0))) = rd(X1,esk1_0),
inference(rw,[status(thm)],[c_0_225,c_0_207]) ).
cnf(c_0_242,negated_conjecture,
rd(mult(X1,esk1_0),X1) = rd(X1,mult(X1,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_176]),c_0_28]) ).
cnf(c_0_243,plain,
ld(X1,mult(X2,mult(X1,X3))) = mult(ld(X1,mult(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_146,c_0_19]) ).
cnf(c_0_244,plain,
rd(rd(X1,X2),mult(X1,ld(X2,unit))) = rd(X1,mult(mult(X1,ld(X2,unit)),X2)),
inference(rw,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_245,plain,
rd(ld(X1,X2),mult(ld(X1,unit),X2)) = ld(X1,rd(X2,mult(ld(X1,unit),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_33]),c_0_14]) ).
cnf(c_0_246,plain,
rd(ld(rd(unit,X1),X2),mult(X1,X2)) = rd(X1,ld(rd(X2,mult(X1,X2)),unit)),
inference(spm,[status(thm)],[c_0_230,c_0_19]) ).
cnf(c_0_247,plain,
mult(X1,ld(X2,ld(X1,mult(X2,rd(unit,X2))))) = rd(rd(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_33]),c_0_64]),c_0_31]),c_0_64]),c_0_233]),c_0_234]),c_0_235]) ).
cnf(c_0_248,plain,
rd(ld(X1,ld(X2,X3)),ld(X2,unit)) = ld(mult(X2,X1),mult(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_236]),c_0_96]),c_0_19]) ).
cnf(c_0_249,negated_conjecture,
mult(mult(mult(esk1_0,X1),esk1_0),esk2_0) = ld(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_25]),c_0_237]) ).
cnf(c_0_250,negated_conjecture,
ld(esk1_0,rd(X1,esk1_0)) = mult(ld(esk1_0,X1),esk2_0),
inference(spm,[status(thm)],[c_0_112,c_0_238]) ).
cnf(c_0_251,negated_conjecture,
ld(esk1_0,rd(esk1_0,X1)) = rd(esk2_0,mult(X1,esk2_0)),
inference(spm,[status(thm)],[c_0_239,c_0_31]) ).
cnf(c_0_252,negated_conjecture,
ld(mult(rd(unit,X1),esk2_0),esk2_0) = mult(mult(esk1_0,X1),esk2_0),
inference(spm,[status(thm)],[c_0_240,c_0_31]) ).
cnf(c_0_253,negated_conjecture,
rd(rd(X1,esk2_0),esk1_0) = mult(esk1_0,mult(esk2_0,X1)),
inference(spm,[status(thm)],[c_0_241,c_0_25]) ).
cnf(c_0_254,negated_conjecture,
rd(rd(X1,mult(X1,esk2_0)),esk1_0) = rd(X1,mult(esk1_0,mult(X1,esk2_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_242]),c_0_205]) ).
cnf(c_0_255,plain,
mult(ld(X1,mult(X2,X1)),ld(mult(X2,X1),X2)) = mult(ld(X1,unit),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_192]),c_0_19]) ).
cnf(c_0_256,negated_conjecture,
ld(mult(esk1_0,X1),mult(esk1_0,mult(X1,esk2_0))) = ld(mult(X1,esk1_0),X1),
inference(spm,[status(thm)],[c_0_132,c_0_205]) ).
cnf(c_0_257,plain,
rd(rd(X1,ld(X2,unit)),mult(X1,X2)) = ld(mult(rd(X1,mult(X2,X1)),X2),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_25]),c_0_60]),c_0_86]),c_0_63]),c_0_131]),c_0_208]) ).
cnf(c_0_258,plain,
rd(X1,ld(rd(X2,mult(X1,X2)),unit)) = ld(rd(unit,X1),rd(X2,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_245,c_0_111]),c_0_30]),c_0_14]),c_0_246]),c_0_30]),c_0_14]) ).
cnf(c_0_259,plain,
ld(mult(X1,ld(X2,rd(X2,X1))),X1) = rd(unit,ld(X2,rd(X2,X1))),
inference(spm,[status(thm)],[c_0_184,c_0_25]) ).
cnf(c_0_260,plain,
rd(rd(rd(X1,X2),X1),rd(X1,X2)) = mult(rd(rd(X1,X2),X1),rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_71]),c_0_25]),c_0_143]) ).
cnf(c_0_261,plain,
mult(X1,mult(ld(mult(X2,X1),X3),ld(X2,unit))) = ld(X2,rd(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_65]),c_0_64]),c_0_19]),c_0_13]) ).
cnf(c_0_262,plain,
ld(mult(X1,X2),mult(mult(X2,rd(unit,X2)),X1)) = ld(X1,rd(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_247]),c_0_25]),c_0_248]) ).
cnf(c_0_263,negated_conjecture,
ld(esk1_0,mult(mult(esk1_0,X1),esk1_0)) = rd(X1,esk2_0),
inference(spm,[status(thm)],[c_0_19,c_0_237]) ).
cnf(c_0_264,negated_conjecture,
rd(ld(esk2_0,X1),esk2_0) = mult(mult(esk1_0,X1),esk1_0),
inference(spm,[status(thm)],[c_0_14,c_0_249]) ).
cnf(c_0_265,negated_conjecture,
ld(esk1_0,rd(X1,esk1_0)) = mult(esk2_0,mult(X1,esk2_0)),
inference(rw,[status(thm)],[c_0_250,c_0_207]) ).
cnf(c_0_266,plain,
rd(ld(ld(X1,unit),X2),X1) = mult(mult(X1,X2),rd(unit,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_98]),c_0_14]) ).
cnf(c_0_267,negated_conjecture,
mult(esk1_0,rd(esk2_0,mult(X1,esk2_0))) = rd(esk1_0,X1),
inference(spm,[status(thm)],[c_0_13,c_0_251]) ).
cnf(c_0_268,negated_conjecture,
rd(esk2_0,mult(mult(esk1_0,X1),esk2_0)) = mult(rd(unit,X1),esk2_0),
inference(spm,[status(thm)],[c_0_33,c_0_252]) ).
cnf(c_0_269,negated_conjecture,
mult(ld(mult(esk1_0,X1),esk1_0),esk2_0) = ld(X1,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_191]),c_0_14]),c_0_223]) ).
cnf(c_0_270,negated_conjecture,
ld(mult(esk1_0,X1),X1) = ld(X1,mult(esk2_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_176]),c_0_30]) ).
cnf(c_0_271,negated_conjecture,
rd(rd(esk2_0,mult(esk2_0,esk2_0)),esk1_0) = mult(esk1_0,mult(esk2_0,mult(esk2_0,esk1_0))),
inference(spm,[status(thm)],[c_0_253,c_0_242]) ).
cnf(c_0_272,negated_conjecture,
rd(rd(X1,esk1_0),esk1_0) = mult(esk1_0,mult(mult(esk2_0,mult(X1,esk2_0)),esk2_0)),
inference(spm,[status(thm)],[c_0_205,c_0_241]) ).
cnf(c_0_273,negated_conjecture,
rd(rd(rd(X1,esk2_0),X1),esk1_0) = rd(rd(X1,esk2_0),mult(esk1_0,X1)),
inference(spm,[status(thm)],[c_0_254,c_0_25]) ).
cnf(c_0_274,plain,
mult(mult(X1,X2),ld(mult(X3,X2),mult(X4,X2))) = mult(mult(X1,ld(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_20,c_0_51]) ).
cnf(c_0_275,negated_conjecture,
mult(X1,ld(mult(X1,esk1_0),X1)) = mult(esk2_0,mult(esk1_0,mult(X1,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_222]),c_0_19]),c_0_256]),c_0_238]) ).
cnf(c_0_276,negated_conjecture,
mult(mult(X1,mult(esk1_0,mult(X2,esk2_0))),esk1_0) = mult(mult(X1,esk1_0),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_205]),c_0_19]) ).
cnf(c_0_277,plain,
rd(ld(X1,rd(X1,ld(X2,unit))),X2) = mult(X2,ld(mult(X1,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_257]),c_0_51]),c_0_198]),c_0_30]),c_0_170]) ).
cnf(c_0_278,plain,
rd(rd(X1,X2),ld(rd(X2,X1),unit)) = ld(rd(unit,rd(X1,X2)),rd(X2,X1)),
inference(spm,[status(thm)],[c_0_258,c_0_25]) ).
cnf(c_0_279,plain,
rd(rd(X1,X2),mult(rd(X2,X1),rd(X1,X2))) = ld(rd(X2,X1),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_160]),c_0_95]),c_0_56]) ).
cnf(c_0_280,plain,
ld(mult(rd(X1,X2),rd(X2,X1)),rd(X1,X2)) = rd(unit,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_19]),c_0_19]) ).
cnf(c_0_281,plain,
mult(X1,ld(X2,rd(rd(X2,X1),X2))) = ld(X2,mult(X1,rd(unit,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_112]),c_0_14]) ).
cnf(c_0_282,negated_conjecture,
rd(mult(X1,esk1_0),rd(X2,esk2_0)) = mult(rd(X1,mult(esk1_0,X2)),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_263]),c_0_14]) ).
cnf(c_0_283,negated_conjecture,
rd(mult(esk1_0,X1),mult(esk1_0,X2)) = mult(esk1_0,mult(rd(X1,X2),esk2_0)),
inference(spm,[status(thm)],[c_0_205,c_0_54]) ).
cnf(c_0_284,negated_conjecture,
mult(mult(esk1_0,mult(esk2_0,X1)),esk1_0) = rd(X1,esk2_0),
inference(spm,[status(thm)],[c_0_264,c_0_19]) ).
cnf(c_0_285,negated_conjecture,
mult(esk2_0,mult(mult(X1,esk1_0),esk2_0)) = ld(esk1_0,X1),
inference(spm,[status(thm)],[c_0_265,c_0_14]) ).
cnf(c_0_286,plain,
mult(mult(ld(X1,unit),X1),rd(unit,X1)) = ld(X1,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_114]),c_0_33]),c_0_87]),c_0_30]),c_0_51]),c_0_30]),c_0_108]) ).
cnf(c_0_287,negated_conjecture,
rd(unit,mult(esk1_0,ld(X1,esk2_0))) = mult(esk1_0,mult(X1,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_176]),c_0_205]) ).
cnf(c_0_288,negated_conjecture,
mult(esk1_0,mult(rd(unit,X1),esk2_0)) = rd(esk1_0,mult(esk1_0,X1)),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_289,negated_conjecture,
rd(unit,esk1_0) = mult(esk1_0,mult(esk2_0,esk2_0)),
inference(spm,[status(thm)],[c_0_205,c_0_176]) ).
cnf(c_0_290,negated_conjecture,
mult(esk1_0,ld(X1,ld(esk1_0,X2))) = ld(mult(esk1_0,mult(X1,esk2_0)),X2),
inference(spm,[status(thm)],[c_0_64,c_0_205]) ).
cnf(c_0_291,negated_conjecture,
ld(esk2_0,ld(X1,esk2_0)) = ld(mult(mult(esk1_0,X1),esk2_0),unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_269]),c_0_206]) ).
cnf(c_0_292,negated_conjecture,
ld(mult(mult(esk1_0,esk1_0),esk2_0),unit) = mult(mult(esk2_0,esk1_0),esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_270]),c_0_13]) ).
cnf(c_0_293,negated_conjecture,
mult(mult(esk1_0,X1),ld(esk1_0,mult(X2,esk1_0))) = mult(mult(mult(esk1_0,mult(X1,esk2_0)),X2),esk1_0),
inference(spm,[status(thm)],[c_0_41,c_0_205]) ).
cnf(c_0_294,negated_conjecture,
rd(esk2_0,mult(esk1_0,mult(esk2_0,esk2_0))) = mult(esk1_0,mult(esk2_0,mult(esk2_0,esk1_0))),
inference(rw,[status(thm)],[c_0_271,c_0_254]) ).
cnf(c_0_295,negated_conjecture,
rd(rd(esk1_0,esk2_0),mult(esk1_0,esk1_0)) = mult(esk1_0,mult(mult(esk2_0,esk1_0),esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_25]) ).
cnf(c_0_296,negated_conjecture,
ld(esk1_0,rd(X1,esk2_0)) = rd(mult(esk2_0,X1),esk2_0),
inference(spm,[status(thm)],[c_0_224,c_0_25]) ).
cnf(c_0_297,negated_conjecture,
mult(esk2_0,mult(esk1_0,mult(mult(X1,esk1_0),esk2_0))) = mult(mult(esk2_0,esk1_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_275]),c_0_276]) ).
cnf(c_0_298,negated_conjecture,
ld(esk2_0,ld(esk1_0,X1)) = mult(mult(X1,esk1_0),esk2_0),
inference(spm,[status(thm)],[c_0_249,c_0_13]) ).
cnf(c_0_299,plain,
ld(X1,rd(mult(mult(X1,X2),X1),X3)) = rd(X2,mult(X3,ld(X1,unit))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_107]),c_0_73]) ).
cnf(c_0_300,plain,
mult(ld(rd(X1,X2),unit),rd(X1,X2)) = mult(rd(X2,X1),rd(unit,rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_79]),c_0_163]),c_0_171]),c_0_279]),c_0_280]) ).
cnf(c_0_301,plain,
mult(rd(X1,X2),rd(unit,rd(X1,X2))) = mult(ld(X2,X1),rd(unit,ld(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_281]),c_0_13]),c_0_60]),c_0_87]) ).
cnf(c_0_302,negated_conjecture,
rd(esk1_0,rd(X1,mult(X1,esk2_0))) = rd(mult(esk1_0,mult(X1,esk2_0)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_205]),c_0_242]) ).
cnf(c_0_303,negated_conjecture,
rd(mult(esk1_0,X1),rd(X2,esk2_0)) = mult(esk1_0,rd(mult(X1,esk2_0),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_222]),c_0_283]),c_0_222]) ).
cnf(c_0_304,negated_conjecture,
rd(rd(unit,X1),esk2_0) = mult(esk1_0,rd(esk2_0,mult(esk2_0,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_90]),c_0_284]) ).
cnf(c_0_305,negated_conjecture,
mult(rd(X1,esk2_0),ld(esk1_0,X2)) = ld(esk1_0,mult(mult(esk1_0,X1),X2)),
inference(spm,[status(thm)],[c_0_146,c_0_263]) ).
cnf(c_0_306,negated_conjecture,
ld(esk1_0,ld(X1,unit)) = mult(ld(mult(X1,esk1_0),esk1_0),esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_108]),c_0_285]) ).
cnf(c_0_307,negated_conjecture,
ld(esk2_0,unit) = mult(mult(esk1_0,esk1_0),esk2_0),
inference(spm,[status(thm)],[c_0_183,c_0_176]) ).
cnf(c_0_308,plain,
ld(mult(ld(X1,unit),X1),ld(X1,unit)) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_19,c_0_286]) ).
cnf(c_0_309,plain,
rd(ld(X1,unit),rd(unit,X1)) = mult(ld(X1,unit),X1),
inference(spm,[status(thm)],[c_0_14,c_0_286]) ).
cnf(c_0_310,plain,
mult(ld(X1,mult(X2,X2)),ld(X2,unit)) = ld(ld(X2,X1),unit),
inference(rw,[status(thm)],[c_0_39,c_0_79]) ).
cnf(c_0_311,negated_conjecture,
ld(mult(esk1_0,mult(X1,esk2_0)),unit) = mult(esk1_0,ld(X1,esk2_0)),
inference(spm,[status(thm)],[c_0_31,c_0_287]) ).
cnf(c_0_312,negated_conjecture,
mult(esk1_0,mult(mult(esk1_0,mult(esk2_0,esk2_0)),esk2_0)) = rd(esk1_0,mult(esk1_0,esk1_0)),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_313,negated_conjecture,
ld(mult(esk1_0,mult(esk2_0,esk2_0)),esk2_0) = mult(esk1_0,mult(mult(esk2_0,esk1_0),esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]) ).
cnf(c_0_314,negated_conjecture,
ld(rd(esk1_0,mult(esk1_0,esk1_0)),unit) = rd(mult(esk1_0,esk1_0),mult(mult(esk1_0,esk1_0),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_293]),c_0_176]),c_0_28]),c_0_242]) ).
cnf(c_0_315,negated_conjecture,
ld(mult(esk1_0,mult(esk2_0,mult(esk2_0,esk1_0))),esk2_0) = mult(esk1_0,mult(esk2_0,esk2_0)),
inference(spm,[status(thm)],[c_0_31,c_0_294]) ).
cnf(c_0_316,negated_conjecture,
mult(esk1_0,mult(esk2_0,mult(esk2_0,esk1_0))) = mult(esk2_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_295]),c_0_222]),c_0_19]),c_0_296]),c_0_242]),c_0_254]),c_0_294]) ).
cnf(c_0_317,negated_conjecture,
mult(mult(esk2_0,esk1_0),mult(esk1_0,mult(esk2_0,X1))) = mult(esk2_0,mult(esk1_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_284]),c_0_25]) ).
cnf(c_0_318,negated_conjecture,
mult(esk1_0,mult(esk2_0,mult(X1,mult(mult(X2,esk1_0),esk2_0)))) = mult(mult(esk1_0,mult(esk2_0,X1)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_296]),c_0_15]),c_0_298]),c_0_253]) ).
cnf(c_0_319,plain,
mult(X1,rd(X2,mult(X3,ld(X1,unit)))) = rd(mult(mult(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_13,c_0_299]) ).
cnf(c_0_320,plain,
mult(ld(rd(X1,X2),unit),rd(X1,X2)) = mult(ld(X1,X2),rd(unit,ld(X1,X2))),
inference(rw,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_321,plain,
ld(X1,ld(rd(X1,X2),mult(X1,X3))) = ld(rd(unit,ld(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_165,c_0_52]) ).
cnf(c_0_322,negated_conjecture,
rd(esk1_0,rd(rd(X1,esk2_0),X1)) = mult(esk1_0,rd(mult(X1,esk2_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_25]),c_0_303]) ).
cnf(c_0_323,negated_conjecture,
rd(rd(esk1_0,X1),esk1_0) = rd(unit,mult(esk1_0,mult(X1,esk2_0))),
inference(spm,[status(thm)],[c_0_46,c_0_205]) ).
cnf(c_0_324,negated_conjecture,
rd(unit,mult(esk1_0,mult(esk2_0,esk2_0))) = mult(esk1_0,mult(esk2_0,esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_238]),c_0_253]),c_0_289]) ).
cnf(c_0_325,negated_conjecture,
rd(mult(esk1_0,mult(esk2_0,esk2_0)),esk2_0) = mult(esk1_0,rd(esk2_0,mult(esk2_0,esk1_0))),
inference(spm,[status(thm)],[c_0_304,c_0_289]) ).
cnf(c_0_326,negated_conjecture,
rd(mult(X1,mult(X2,esk2_0)),esk2_0) = ld(esk1_0,mult(mult(esk1_0,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_224]),c_0_305]) ).
cnf(c_0_327,negated_conjecture,
ld(esk1_0,mult(mult(esk1_0,esk1_0),esk2_0)) = mult(ld(mult(esk2_0,esk1_0),esk1_0),esk2_0),
inference(spm,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_328,plain,
ld(ld(X1,unit),rd(unit,X1)) = mult(X1,rd(unit,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_308]),c_0_48]),c_0_309]),c_0_19]) ).
cnf(c_0_329,plain,
ld(ld(X1,rd(mult(X1,X1),X2)),unit) = mult(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_310,c_0_31]) ).
cnf(c_0_330,negated_conjecture,
rd(mult(esk1_0,esk1_0),mult(mult(esk1_0,esk1_0),esk2_0)) = mult(esk1_0,mult(esk1_0,mult(mult(esk2_0,esk1_0),esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_313]),c_0_314]) ).
cnf(c_0_331,negated_conjecture,
ld(mult(esk2_0,esk1_0),esk2_0) = mult(esk1_0,mult(esk2_0,esk2_0)),
inference(rw,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_332,plain,
rd(mult(rd(X1,X2),X3),rd(X1,X2)) = rd(mult(rd(X1,X2),mult(X3,X2)),X1),
inference(spm,[status(thm)],[c_0_18,c_0_31]) ).
cnf(c_0_333,negated_conjecture,
ld(mult(esk2_0,esk1_0),mult(esk2_0,mult(esk1_0,X1))) = mult(esk1_0,mult(esk2_0,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_317]) ).
cnf(c_0_334,negated_conjecture,
ld(esk1_0,ld(mult(esk1_0,mult(X1,esk2_0)),X2)) = ld(X1,ld(esk1_0,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_290]) ).
cnf(c_0_335,negated_conjecture,
mult(esk1_0,mult(X1,ld(esk1_0,X2))) = mult(mult(esk1_0,mult(X1,esk2_0)),X2),
inference(spm,[status(thm)],[c_0_15,c_0_205]) ).
cnf(c_0_336,negated_conjecture,
mult(mult(esk1_0,mult(esk2_0,esk1_0)),X1) = mult(esk1_0,mult(mult(esk2_0,esk1_0),X1)),
inference(spm,[status(thm)],[c_0_318,c_0_297]) ).
cnf(c_0_337,negated_conjecture,
mult(mult(X1,esk1_0),rd(X2,esk2_0)) = mult(mult(X1,mult(esk1_0,X2)),esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_263]) ).
cnf(c_0_338,plain,
mult(X1,rd(X2,mult(ld(X1,unit),X2))) = rd(mult(X1,mult(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_319,c_0_129]),c_0_137]),c_0_163]),c_0_66]),c_0_25]) ).
cnf(c_0_339,plain,
rd(ld(X1,X2),ld(X2,rd(X2,X1))) = mult(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_33,c_0_141]) ).
cnf(c_0_340,plain,
mult(ld(X1,ld(X2,X1)),ld(X1,mult(X2,X1))) = mult(ld(X2,unit),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_33]),c_0_47]) ).
cnf(c_0_341,plain,
mult(X1,mult(ld(X1,mult(X2,X1)),X3)) = mult(X2,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_131,c_0_14]) ).
cnf(c_0_342,plain,
mult(X1,ld(rd(unit,ld(X1,X2)),X3)) = ld(rd(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_321]) ).
cnf(c_0_343,negated_conjecture,
ld(esk1_0,mult(esk2_0,esk1_0)) = mult(esk2_0,mult(esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_19,c_0_316]) ).
cnf(c_0_344,negated_conjecture,
rd(esk1_0,mult(esk1_0,mult(esk2_0,esk1_0))) = mult(esk1_0,mult(esk1_0,mult(esk2_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324]),c_0_176]),c_0_289]) ).
cnf(c_0_345,negated_conjecture,
mult(ld(mult(esk2_0,esk1_0),esk1_0),esk2_0) = mult(esk1_0,rd(esk2_0,mult(esk2_0,esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_326]),c_0_327]) ).
cnf(c_0_346,plain,
mult(ld(X1,unit),mult(X1,rd(unit,X1))) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_13,c_0_328]) ).
cnf(c_0_347,negated_conjecture,
rd(X1,mult(mult(esk1_0,esk1_0),esk2_0)) = mult(mult(esk1_0,mult(esk2_0,X1)),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_176]),c_0_307]),c_0_253]) ).
cnf(c_0_348,negated_conjecture,
ld(mult(mult(X1,esk1_0),esk2_0),unit) = mult(mult(ld(X1,unit),esk1_0),esk2_0),
inference(spm,[status(thm)],[c_0_206,c_0_108]) ).
cnf(c_0_349,negated_conjecture,
mult(mult(mult(esk1_0,esk1_0),esk2_0),esk2_0) = mult(esk1_0,mult(esk1_0,mult(esk2_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_19]),c_0_311]),c_0_238]),c_0_331]) ).
cnf(c_0_350,plain,
rd(mult(X1,mult(ld(X1,X2),X1)),X2) = rd(X2,rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_25]),c_0_131]) ).
cnf(c_0_351,negated_conjecture,
rd(unit,esk2_0) = esk1_0,
inference(spm,[status(thm)],[c_0_14,c_0_176]) ).
cnf(c_0_352,negated_conjecture,
ld(mult(esk2_0,esk1_0),mult(esk2_0,X1)) = mult(mult(esk1_0,mult(esk2_0,esk2_0)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_65]),c_0_205]),c_0_334]),c_0_13]),c_0_335]) ).
cnf(c_0_353,negated_conjecture,
mult(mult(mult(esk2_0,esk1_0),X1),esk2_0) = mult(mult(esk2_0,esk1_0),mult(X1,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_336]),c_0_205]),c_0_19]),c_0_238]) ).
cnf(c_0_354,negated_conjecture,
mult(mult(mult(X1,esk1_0),esk2_0),ld(esk2_0,X2)) = mult(mult(mult(X1,mult(esk1_0,X2)),esk1_0),esk2_0),
inference(spm,[status(thm)],[c_0_70,c_0_337]) ).
cnf(c_0_355,negated_conjecture,
mult(rd(X1,ld(esk1_0,X2)),esk2_0) = rd(mult(X1,esk2_0),mult(X2,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_326]),c_0_176]),c_0_30]) ).
cnf(c_0_356,negated_conjecture,
rd(ld(esk2_0,X1),mult(esk1_0,X1)) = mult(esk1_0,rd(X1,mult(esk1_0,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_270]),c_0_165]),c_0_28]),c_0_13]),c_0_14]) ).
cnf(c_0_357,negated_conjecture,
rd(mult(esk1_0,mult(esk1_0,X1)),X1) = mult(esk1_0,rd(X1,mult(esk2_0,X1))),
inference(spm,[status(thm)],[c_0_338,c_0_238]) ).
cnf(c_0_358,plain,
ld(rd(unit,X1),rd(rd(unit,X1),X2)) = rd(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_111]),c_0_46]),c_0_31]),c_0_25]) ).
cnf(c_0_359,plain,
rd(X1,ld(X2,rd(X2,rd(X2,X1)))) = mult(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_339,c_0_31]) ).
cnf(c_0_360,negated_conjecture,
rd(mult(mult(esk1_0,X1),esk2_0),mult(X1,esk2_0)) = rd(X1,mult(esk2_0,X1)),
inference(spm,[status(thm)],[c_0_129,c_0_183]) ).
cnf(c_0_361,plain,
mult(rd(ld(X1,X2),X2),mult(X1,X2)) = mult(X2,mult(ld(X1,unit),X1)),
inference(spm,[status(thm)],[c_0_95,c_0_340]) ).
cnf(c_0_362,plain,
mult(rd(X1,mult(X1,X2)),mult(X1,X3)) = mult(X1,mult(rd(unit,X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_90]),c_0_19]) ).
cnf(c_0_363,plain,
ld(rd(X1,mult(X1,X2)),mult(X1,X3)) = mult(X1,ld(rd(unit,X2),X3)),
inference(spm,[status(thm)],[c_0_342,c_0_19]) ).
cnf(c_0_364,plain,
mult(rd(mult(X1,X2),mult(X1,X3)),mult(X1,X4)) = mult(X1,mult(rd(X2,X3),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_54]),c_0_19]) ).
cnf(c_0_365,negated_conjecture,
rd(esk1_0,mult(esk2_0,esk1_0)) = mult(mult(esk1_0,esk1_0),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_343]),c_0_19]),c_0_176]),c_0_307]) ).
cnf(c_0_366,negated_conjecture,
mult(esk1_0,rd(esk2_0,mult(esk2_0,esk1_0))) = rd(unit,mult(esk2_0,esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_344]),c_0_276]),c_0_327]),c_0_345]),c_0_19]) ).
cnf(c_0_367,plain,
ld(X1,mult(mult(mult(X2,X3),X3),ld(mult(X2,X3),X1))) = ld(mult(X2,ld(mult(X2,X3),X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_13]),c_0_137]) ).
cnf(c_0_368,negated_conjecture,
mult(mult(mult(esk2_0,esk1_0),esk2_0),mult(esk1_0,mult(esk1_0,mult(esk2_0,esk2_0)))) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_346,c_0_347]),c_0_348]),c_0_238]),c_0_28]),c_0_176]),c_0_30]),c_0_349]),c_0_28]),c_0_176]),c_0_30]) ).
cnf(c_0_369,negated_conjecture,
mult(esk2_0,mult(esk1_0,mult(esk1_0,mult(esk2_0,esk2_0)))) = mult(esk1_0,mult(esk2_0,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_307]),c_0_63]),c_0_351]),c_0_289]),c_0_349]) ).
cnf(c_0_370,negated_conjecture,
mult(mult(esk1_0,mult(esk2_0,esk2_0)),ld(esk2_0,X1)) = ld(mult(esk2_0,esk1_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_65]),c_0_64]),c_0_19]),c_0_13]) ).
cnf(c_0_371,negated_conjecture,
mult(mult(mult(esk2_0,mult(esk1_0,X1)),esk1_0),esk2_0) = mult(mult(esk2_0,esk1_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_353]),c_0_25]),c_0_354]) ).
cnf(c_0_372,negated_conjecture,
mult(mult(esk1_0,rd(mult(X1,esk2_0),mult(X2,esk2_0))),X2) = mult(esk1_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_25]),c_0_355]) ).
cnf(c_0_373,negated_conjecture,
mult(rd(X1,mult(X1,esk2_0)),X2) = mult(X1,mult(esk1_0,ld(X1,X2))),
inference(spm,[status(thm)],[c_0_15,c_0_242]) ).
cnf(c_0_374,negated_conjecture,
rd(esk2_0,mult(esk2_0,esk2_0)) = mult(mult(esk2_0,esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_316]),c_0_242]) ).
cnf(c_0_375,negated_conjecture,
mult(mult(X1,esk2_0),mult(mult(esk1_0,X2),esk2_0)) = mult(mult(X1,X2),esk2_0),
inference(spm,[status(thm)],[c_0_20,c_0_183]) ).
cnf(c_0_376,negated_conjecture,
rd(mult(mult(X1,esk1_0),esk2_0),X1) = mult(rd(X1,mult(esk1_0,X1)),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_13]),c_0_298]),c_0_69]) ).
cnf(c_0_377,plain,
mult(mult(X1,ld(X2,rd(X3,X4))),X4) = mult(mult(X1,X4),ld(mult(X2,X4),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_96]),c_0_19]) ).
cnf(c_0_378,negated_conjecture,
mult(esk1_0,ld(X1,rd(X1,esk2_0))) = ld(X1,mult(mult(X1,esk1_0),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_357]),c_0_202]),c_0_25]),c_0_236]),c_0_30]) ).
cnf(c_0_379,plain,
mult(rd(unit,X1),rd(X1,mult(X2,X1))) = rd(rd(unit,X1),X2),
inference(spm,[status(thm)],[c_0_13,c_0_358]) ).
cnf(c_0_380,negated_conjecture,
rd(X1,rd(esk2_0,mult(rd(esk1_0,X1),esk2_0))) = mult(X1,rd(esk1_0,X1)),
inference(spm,[status(thm)],[c_0_359,c_0_251]) ).
cnf(c_0_381,negated_conjecture,
ld(esk2_0,ld(X1,mult(esk2_0,X2))) = ld(mult(mult(esk1_0,X1),esk2_0),X2),
inference(spm,[status(thm)],[c_0_165,c_0_183]) ).
cnf(c_0_382,negated_conjecture,
mult(rd(X1,mult(esk2_0,X1)),X1) = mult(mult(mult(esk1_0,X1),esk2_0),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_191]),c_0_360]),c_0_14]),c_0_351]) ).
cnf(c_0_383,plain,
ld(ld(rd(X1,X2),unit),X2) = mult(X2,ld(ld(X1,X2),unit)),
inference(spm,[status(thm)],[c_0_35,c_0_56]) ).
cnf(c_0_384,plain,
ld(mult(rd(X1,X2),ld(X1,X3)),X3) = ld(X3,mult(mult(X1,X2),ld(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_13]),c_0_137]) ).
cnf(c_0_385,plain,
mult(rd(X1,ld(X2,unit)),ld(X2,X3)) = ld(X2,mult(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_146,c_0_81]) ).
cnf(c_0_386,plain,
mult(mult(X1,X2),mult(X3,rd(unit,X3))) = mult(X1,mult(X2,mult(X3,rd(unit,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_361,c_0_362]),c_0_363]),c_0_364]),c_0_361]),c_0_31]),c_0_300]),c_0_46]),c_0_15]),c_0_281]),c_0_13]) ).
cnf(c_0_387,plain,
mult(mult(rd(unit,X1),X2),rd(X3,X1)) = rd(ld(X1,mult(X2,X3)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_146]),c_0_49]) ).
cnf(c_0_388,negated_conjecture,
rd(esk2_0,mult(mult(esk2_0,esk1_0),esk2_0)) = rd(unit,mult(esk2_0,esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_365]),c_0_327]),c_0_345]),c_0_366]) ).
cnf(c_0_389,negated_conjecture,
ld(X1,ld(mult(esk2_0,esk1_0),X1)) = ld(mult(mult(esk2_0,esk1_0),X1),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_368]),c_0_369]),c_0_370]),c_0_354]),c_0_371]) ).
cnf(c_0_390,negated_conjecture,
mult(mult(esk1_0,rd(X1,mult(X2,esk2_0))),X2) = mult(mult(esk1_0,X1),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_25]),c_0_237]) ).
cnf(c_0_391,negated_conjecture,
mult(esk2_0,mult(esk1_0,ld(esk2_0,X1))) = mult(mult(mult(esk2_0,esk1_0),esk1_0),X1),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_392,negated_conjecture,
mult(rd(X1,mult(esk2_0,X1)),esk2_0) = mult(rd(X1,mult(esk1_0,X1)),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_307]),c_0_375]),c_0_376]) ).
cnf(c_0_393,negated_conjecture,
mult(ld(mult(X1,esk1_0),mult(X2,esk1_0)),esk2_0) = ld(esk1_0,ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_51]),c_0_285]) ).
cnf(c_0_394,negated_conjecture,
mult(ld(X1,mult(mult(X1,esk1_0),esk1_0)),esk2_0) = ld(mult(X1,esk2_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_176]),c_0_30]) ).
cnf(c_0_395,negated_conjecture,
ld(esk1_0,ld(X1,mult(mult(X1,esk1_0),esk1_0))) = ld(X1,rd(X1,esk2_0)),
inference(spm,[status(thm)],[c_0_19,c_0_378]) ).
cnf(c_0_396,plain,
ld(X1,mult(X2,mult(rd(unit,X2),X1))) = mult(X2,ld(X1,rd(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_49]),c_0_112]),c_0_14]),c_0_152]),c_0_165]),c_0_13]) ).
cnf(c_0_397,negated_conjecture,
rd(rd(esk2_0,mult(X1,esk2_0)),esk2_0) = rd(unit,ld(esk1_0,X1)),
inference(spm,[status(thm)],[c_0_46,c_0_224]) ).
cnf(c_0_398,plain,
mult(X1,mult(mult(ld(X1,unit),X1),X1)) = rd(X1,ld(X1,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_32]),c_0_33]),c_0_48]),c_0_309]),c_0_33]) ).
cnf(c_0_399,negated_conjecture,
mult(X1,ld(mult(mult(esk1_0,X1),esk2_0),esk1_0)) = rd(rd(X1,esk2_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_380]),c_0_63]),c_0_176]),c_0_63]),c_0_63]),c_0_176]),c_0_63]),c_0_63]),c_0_30]),c_0_381]),c_0_63]),c_0_176]),c_0_63]) ).
cnf(c_0_400,negated_conjecture,
ld(X1,rd(rd(X1,esk2_0),X1)) = mult(ld(mult(X1,esk2_0),esk2_0),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_236]),c_0_30]),c_0_112]),c_0_240]) ).
cnf(c_0_401,plain,
mult(X1,ld(ld(mult(X2,X1),X1),unit)) = ld(ld(X2,unit),X1),
inference(spm,[status(thm)],[c_0_383,c_0_14]) ).
cnf(c_0_402,plain,
ld(ld(X1,mult(mult(X1,X1),X2)),X2) = ld(X2,ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_13]),c_0_30]) ).
cnf(c_0_403,negated_conjecture,
mult(mult(X1,X2),mult(esk2_0,esk1_0)) = mult(X1,mult(X2,mult(esk2_0,esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_386,c_0_380]),c_0_63]),c_0_176]),c_0_63]),c_0_63]),c_0_30]),c_0_63]),c_0_176]),c_0_63]),c_0_63]),c_0_30]) ).
cnf(c_0_404,plain,
rd(ld(X1,mult(X2,mult(X3,X1))),X1) = mult(mult(rd(unit,X1),X2),X3),
inference(spm,[status(thm)],[c_0_387,c_0_14]) ).
cnf(c_0_405,negated_conjecture,
rd(unit,mult(esk2_0,esk1_0)) = ld(mult(esk2_0,esk1_0),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_388]),c_0_25]),c_0_331]),c_0_326]),c_0_327]),c_0_345]),c_0_366]) ).
cnf(c_0_406,negated_conjecture,
mult(ld(mult(esk2_0,esk1_0),unit),X1) = ld(mult(esk2_0,esk1_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_389]),c_0_108]) ).
cnf(c_0_407,negated_conjecture,
ld(esk1_0,mult(mult(esk1_0,mult(esk2_0,X1)),X2)) = mult(esk2_0,mult(X1,mult(mult(X2,esk1_0),esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_253]),c_0_296]),c_0_15]),c_0_298]) ).
cnf(c_0_408,negated_conjecture,
mult(mult(esk1_0,X1),mult(esk2_0,esk1_0)) = mult(esk1_0,mult(X1,mult(esk2_0,esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_336]),c_0_13]) ).
cnf(c_0_409,negated_conjecture,
mult(mult(mult(esk2_0,esk1_0),esk1_0),X1) = mult(mult(esk2_0,esk1_0),mult(esk1_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_390]),c_0_249]),c_0_391]),c_0_176]),c_0_63]) ).
cnf(c_0_410,negated_conjecture,
mult(esk2_0,ld(mult(X1,esk2_0),X1)) = mult(esk1_0,ld(mult(X1,esk1_0),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_236]),c_0_30]),c_0_96]),c_0_126]),c_0_96]) ).
cnf(c_0_411,negated_conjecture,
ld(mult(mult(X1,esk1_0),esk2_0),mult(X1,esk1_0)) = ld(X1,rd(X1,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_395]) ).
cnf(c_0_412,negated_conjecture,
mult(esk2_0,ld(X1,rd(X1,esk2_0))) = ld(X1,mult(esk2_0,mult(esk1_0,X1))),
inference(spm,[status(thm)],[c_0_396,c_0_351]) ).
cnf(c_0_413,negated_conjecture,
ld(ld(esk1_0,X1),mult(esk2_0,X2)) = mult(esk2_0,ld(mult(X1,esk2_0),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_397]),c_0_31]),c_0_31]) ).
cnf(c_0_414,plain,
ld(X1,rd(X1,ld(X1,unit))) = mult(mult(ld(X1,unit),X1),X1),
inference(spm,[status(thm)],[c_0_19,c_0_398]) ).
cnf(c_0_415,negated_conjecture,
mult(esk2_0,ld(mult(mult(esk1_0,X1),esk2_0),X2)) = ld(X1,mult(esk2_0,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_381]) ).
cnf(c_0_416,negated_conjecture,
ld(mult(mult(esk1_0,X1),esk2_0),esk1_0) = mult(ld(mult(X1,esk2_0),esk2_0),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_399]),c_0_400]) ).
cnf(c_0_417,plain,
mult(X1,mult(ld(mult(X2,X1),X1),X3)) = mult(ld(X2,unit),mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_401]),c_0_33]),c_0_33]) ).
cnf(c_0_418,negated_conjecture,
( mult(mult(esk2_0,esk1_0),mult(esk3_0,esk4_0)) != mult(mult(mult(esk2_0,esk1_0),esk3_0),esk4_0)
| mult(mult(esk3_0,mult(esk2_0,esk1_0)),esk4_0) != mult(esk3_0,mult(mult(esk2_0,esk1_0),esk4_0))
| mult(mult(esk3_0,esk4_0),mult(esk2_0,esk1_0)) != mult(esk3_0,mult(esk4_0,mult(esk2_0,esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_419,plain,
rd(X1,ld(X1,ld(X2,X1))) = ld(X2,mult(mult(X2,X2),X1)),
inference(spm,[status(thm)],[c_0_33,c_0_402]) ).
cnf(c_0_420,negated_conjecture,
ld(mult(esk2_0,esk1_0),mult(X1,X2)) = mult(ld(mult(esk2_0,esk1_0),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_49,c_0_403]),c_0_404]),c_0_405]),c_0_406]),c_0_405]),c_0_406]) ).
cnf(c_0_421,plain,
rd(mult(X1,X2),ld(mult(X3,X2),mult(X4,X2))) = mult(rd(X1,ld(X3,X4)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_51]),c_0_14]) ).
cnf(c_0_422,negated_conjecture,
mult(mult(esk2_0,X1),mult(esk2_0,esk1_0)) = mult(esk2_0,mult(X1,mult(esk2_0,esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_19]),c_0_409]),c_0_176]),c_0_28]) ).
cnf(c_0_423,negated_conjecture,
ld(X1,mult(esk2_0,mult(esk1_0,X1))) = mult(ld(mult(X1,esk1_0),X1),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_412]),c_0_58]) ).
cnf(c_0_424,negated_conjecture,
ld(mult(mult(esk2_0,esk1_0),esk1_0),mult(esk2_0,X1)) = mult(esk2_0,ld(esk1_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_238]),c_0_238]),c_0_25]) ).
cnf(c_0_425,plain,
ld(rd(X1,X2),rd(mult(X2,mult(ld(X2,X1),X3)),rd(X1,X2))) = mult(mult(X2,X3),ld(rd(X1,X2),unit)),
inference(spm,[status(thm)],[c_0_73,c_0_131]) ).
cnf(c_0_426,negated_conjecture,
mult(ld(X1,unit),mult(esk2_0,esk1_0)) = ld(X1,mult(esk2_0,esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_416]),c_0_417]) ).
cnf(c_0_427,negated_conjecture,
( mult(mult(mult(esk2_0,esk1_0),esk3_0),esk4_0) != mult(mult(esk2_0,esk1_0),mult(esk3_0,esk4_0))
| mult(mult(esk3_0,mult(esk2_0,esk1_0)),esk4_0) != mult(esk3_0,mult(mult(esk2_0,esk1_0),esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_418,c_0_403])]) ).
cnf(c_0_428,negated_conjecture,
mult(mult(mult(esk2_0,esk1_0),X1),X2) = mult(mult(esk2_0,esk1_0),mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_421]),c_0_389]),c_0_33]),c_0_422]),c_0_420]),c_0_423]),c_0_424]),c_0_220]),c_0_28]) ).
cnf(c_0_429,plain,
mult(mult(X1,mult(ld(X1,X2),X3)),X1) = mult(X2,ld(X1,mult(mult(X1,X3),X1))),
inference(spm,[status(thm)],[c_0_41,c_0_131]) ).
cnf(c_0_430,negated_conjecture,
mult(X1,mult(ld(X1,X2),mult(esk2_0,esk1_0))) = mult(X2,mult(esk2_0,esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_25]),c_0_131]) ).
cnf(c_0_431,negated_conjecture,
mult(mult(X1,mult(esk2_0,esk1_0)),X1) = mult(X1,mult(mult(esk2_0,esk1_0),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_13]),c_0_213]),c_0_63]),c_0_31]) ).
cnf(c_0_432,negated_conjecture,
mult(mult(esk3_0,mult(esk2_0,esk1_0)),esk4_0) != mult(esk3_0,mult(mult(esk2_0,esk1_0),esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_427,c_0_428])]) ).
cnf(c_0_433,negated_conjecture,
mult(mult(X1,mult(esk2_0,esk1_0)),X2) = mult(X1,mult(mult(esk2_0,esk1_0),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_431]),c_0_19]) ).
cnf(c_0_434,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_433])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP664+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Oct 3 02:51:40 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 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.JDg3vVaah9/E---3.1_22572.p
% 478.49/62.38 # Version: 3.1pre001
% 478.49/62.38 # Preprocessing class: FSMSSMSSSSSNFFN.
% 478.49/62.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 478.49/62.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 478.49/62.38 # Starting new_bool_3 with 300s (1) cores
% 478.49/62.38 # Starting new_bool_1 with 300s (1) cores
% 478.49/62.38 # Starting sh5l with 300s (1) cores
% 478.49/62.38 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22736 completed with status 0
% 478.49/62.38 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 478.49/62.38 # Preprocessing class: FSMSSMSSSSSNFFN.
% 478.49/62.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 478.49/62.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 478.49/62.38 # No SInE strategy applied
% 478.49/62.38 # Search class: FUHPM-FFSF22-MFFFFFNN
% 478.49/62.38 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 478.49/62.38 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 811s (1) cores
% 478.49/62.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 478.49/62.38 # Starting new_bool_3 with 136s (1) cores
% 478.49/62.38 # Starting new_bool_1 with 136s (1) cores
% 478.49/62.38 # Starting sh5l with 136s (1) cores
% 478.49/62.38 # H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with pid 22740 completed with status 0
% 478.49/62.38 # Result found by H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 478.49/62.38 # Preprocessing class: FSMSSMSSSSSNFFN.
% 478.49/62.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 478.49/62.38 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 478.49/62.38 # No SInE strategy applied
% 478.49/62.38 # Search class: FUHPM-FFSF22-MFFFFFNN
% 478.49/62.38 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 478.49/62.38 # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 811s (1) cores
% 478.49/62.38 # Preprocessing time : 0.001 s
% 478.49/62.38 # Presaturation interreduction done
% 478.49/62.38
% 478.49/62.38 # Proof found!
% 478.49/62.38 # SZS status Theorem
% 478.49/62.38 # SZS output start CNFRefutation
% See solution above
% 478.54/62.38 # Parsed axioms : 9
% 478.54/62.38 # Removed by relevancy pruning/SinE : 0
% 478.54/62.38 # Initial clauses : 10
% 478.54/62.38 # Removed in clause preprocessing : 0
% 478.54/62.38 # Initial clauses in saturation : 10
% 478.54/62.38 # Processed clauses : 9866
% 478.54/62.38 # ...of these trivial : 5433
% 478.54/62.38 # ...subsumed : 596
% 478.54/62.38 # ...remaining for further processing : 3837
% 478.54/62.38 # Other redundant clauses eliminated : 0
% 478.54/62.38 # Clauses deleted for lack of memory : 304895
% 478.54/62.38 # Backward-subsumed : 1
% 478.54/62.38 # Backward-rewritten : 970
% 478.54/62.38 # Generated clauses : 2695412
% 478.54/62.38 # ...of the previous two non-redundant : 2448340
% 478.54/62.38 # ...aggressively subsumed : 0
% 478.54/62.38 # Contextual simplify-reflections : 0
% 478.54/62.38 # Paramodulations : 2695412
% 478.54/62.38 # Factorizations : 0
% 478.54/62.38 # NegExts : 0
% 478.54/62.38 # Equation resolutions : 0
% 478.54/62.38 # Total rewrite steps : 5285267
% 478.54/62.38 # Propositional unsat checks : 0
% 478.54/62.38 # Propositional check models : 0
% 478.54/62.38 # Propositional check unsatisfiable : 0
% 478.54/62.38 # Propositional clauses : 0
% 478.54/62.38 # Propositional clauses after purity: 0
% 478.54/62.38 # Propositional unsat core size : 0
% 478.54/62.38 # Propositional preprocessing time : 0.000
% 478.54/62.38 # Propositional encoding time : 0.000
% 478.54/62.38 # Propositional solver time : 0.000
% 478.54/62.38 # Success case prop preproc time : 0.000
% 478.54/62.38 # Success case prop encoding time : 0.000
% 478.54/62.38 # Success case prop solver time : 0.000
% 478.54/62.38 # Current number of processed clauses : 2856
% 478.54/62.38 # Positive orientable unit clauses : 2840
% 478.54/62.38 # Positive unorientable unit clauses: 16
% 478.54/62.38 # Negative unit clauses : 0
% 478.54/62.38 # Non-unit-clauses : 0
% 478.54/62.38 # Current number of unprocessed clauses: 1528022
% 478.54/62.38 # ...number of literals in the above : 1528022
% 478.54/62.38 # Current number of archived formulas : 0
% 478.54/62.38 # Current number of archived clauses : 981
% 478.54/62.38 # Clause-clause subsumption calls (NU) : 0
% 478.54/62.38 # Rec. Clause-clause subsumption calls : 0
% 478.54/62.38 # Non-unit clause-clause subsumptions : 0
% 478.54/62.38 # Unit Clause-clause subsumption calls : 1401
% 478.54/62.38 # Rewrite failures with RHS unbound : 0
% 478.54/62.38 # BW rewrite match attempts : 25239
% 478.54/62.38 # BW rewrite match successes : 976
% 478.54/62.38 # Condensation attempts : 0
% 478.54/62.38 # Condensation successes : 0
% 478.54/62.38 # Termbank termtop insertions : 74520617
% 478.54/62.38
% 478.54/62.38 # -------------------------------------------------
% 478.54/62.38 # User time : 57.208 s
% 478.54/62.38 # System time : 1.487 s
% 478.54/62.38 # Total time : 58.695 s
% 478.54/62.38 # Maximum resident set size: 1696 pages
% 478.54/62.38
% 478.54/62.38 # -------------------------------------------------
% 478.54/62.38 # User time : 295.714 s
% 478.54/62.38 # System time : 2.938 s
% 478.54/62.38 # Total time : 298.652 s
% 478.54/62.38 # Maximum resident set size: 1724 pages
% 478.54/62.38 % E---3.1 exiting
%------------------------------------------------------------------------------