TSTP Solution File: GRP654+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP654+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 09:02:53 EDT 2022
% Result : Theorem 0.99s 123.19s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',f04) ).
fof(f05,axiom,
! [X3,X1,X2] : mult(X2,mult(X1,mult(X2,X3))) = mult(mult(mult(X2,X1),X2),X3),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',f05) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',f03) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',f02) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',f01) ).
fof(goals,conjecture,
! [X4,X5] :
( mult(X4,rd(X5,X5)) = X4
& mult(rd(X5,X5),X4) = X4 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(c_0_6,plain,
! [X3,X4] : rd(mult(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f04]) ).
fof(c_0_7,plain,
! [X4,X5,X6] : mult(X6,mult(X5,mult(X6,X4))) = mult(mult(mult(X6,X5),X6),X4),
inference(variable_rename,[status(thm)],[f05]) ).
cnf(c_0_8,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X3,X4] : mult(rd(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_11,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
rd(mult(X1,X2),X3) = mult(mult(X1,rd(X2,mult(X1,X3))),X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_14,plain,
! [X3,X4] : ld(X4,mult(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_15,plain,
mult(mult(X1,rd(X2,mult(X1,X2))),X1) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_16,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
mult(X1,mult(rd(X2,mult(X1,X2)),mult(X1,X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_18,plain,
mult(rd(X1,mult(X2,X1)),mult(X2,X3)) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_16]) ).
cnf(c_0_19,plain,
mult(mult(X1,rd(X1,X2)),X3) = mult(rd(X1,X2),mult(X2,mult(rd(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_20,plain,
mult(X1,mult(rd(X2,mult(X1,X2)),X3)) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_18]),c_0_13]),c_0_15]) ).
cnf(c_0_21,plain,
mult(rd(X1,mult(X1,X1)),mult(mult(X1,X1),mult(rd(X1,mult(X1,X1)),X1))) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
fof(c_0_22,plain,
! [X3,X4] : mult(X4,ld(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[f01]) ).
cnf(c_0_23,plain,
mult(mult(X1,X1),mult(rd(X1,mult(X1,X1)),X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
mult(rd(X1,mult(X2,X1)),X3) = mult(rd(X4,mult(X2,X4)),X3),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_25,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
mult(rd(X1,X2),mult(rd(X2,X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
cnf(c_0_27,plain,
mult(mult(X1,X1),mult(rd(X2,mult(X1,X2)),X1)) = mult(X1,X1),
inference(pm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
mult(rd(X1,mult(X2,X1)),X3) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_29,plain,
mult(rd(ld(X1,X2),X2),mult(X1,X3)) = X3,
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_30,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_16,c_0_26]) ).
cnf(c_0_31,plain,
mult(mult(X1,X1),ld(X1,X1)) = mult(X1,X1),
inference(pm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
mult(rd(X1,mult(rd(X2,X3),X1)),X2) = X3,
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
cnf(c_0_33,plain,
mult(rd(X1,mult(mult(X2,rd(X3,mult(X2,X3))),X1)),X2) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_34,plain,
mult(rd(X1,ld(X2,X1)),X3) = mult(X2,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_29]),c_0_30]) ).
cnf(c_0_35,plain,
ld(mult(X1,X1),mult(X1,X1)) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_16,c_0_31]) ).
cnf(c_0_36,plain,
mult(mult(X1,mult(X2,mult(X1,mult(X1,X2)))),X3) = mult(mult(X1,X2),mult(X1,mult(mult(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_37,plain,
mult(rd(X1,X1),X2) = mult(mult(X1,rd(X3,mult(X1,X3))),X2),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
mult(rd(X1,X1),mult(mult(X1,rd(X2,mult(X1,X2))),X3)) = X3,
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_39,plain,
mult(mult(rd(X1,X1),mult(X1,X1)),X2) = mult(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_34,c_0_35]),c_0_13]),c_0_25]),c_0_19]),c_0_12]) ).
cnf(c_0_40,plain,
mult(mult(rd(X1,X1),mult(X2,X2)),X3) = mult(mult(rd(X1,X1),X2),mult(rd(X1,X1),mult(mult(rd(X1,X1),X2),X3))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,plain,
mult(X1,mult(rd(X1,X1),mult(X1,X2))) = mult(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_12]),c_0_12]) ).
cnf(c_0_42,plain,
mult(rd(X1,mult(rd(X2,mult(X3,X2)),X1)),X4) = mult(X3,X4),
inference(spm,[status(thm)],[c_0_18,c_0_18]) ).
cnf(c_0_43,plain,
mult(X1,mult(mult(X1,rd(X2,mult(X1,X2))),mult(X1,X3))) = mult(mult(X1,X1),X3),
inference(pm,[status(thm)],[c_0_41,c_0_37]) ).
cnf(c_0_44,plain,
mult(mult(X1,rd(X2,mult(rd(X3,mult(X1,X3)),X2))),X4) = mult(mult(X1,X1),X4),
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_43]),c_0_42]),c_0_42]),c_0_42]),c_0_42]),c_0_43]) ).
cnf(c_0_45,plain,
mult(X1,mult(rd(X2,mult(X1,mult(rd(X3,X4),mult(X1,X2)))),mult(X1,X3))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_13]),c_0_9]) ).
cnf(c_0_46,plain,
mult(X1,mult(mult(rd(X2,mult(X1,X2)),X1),mult(X1,X3))) = mult(mult(X1,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_44]),c_0_42]),c_0_42]) ).
cnf(c_0_47,plain,
mult(X1,mult(rd(X2,mult(mult(X1,X1),X2)),mult(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_41]) ).
cnf(c_0_48,plain,
mult(X1,mult(mult(rd(X2,mult(X1,X2)),X1),X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_20]) ).
cnf(c_0_49,plain,
mult(mult(rd(X1,mult(X2,X1)),X2),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_48]),c_0_18]) ).
cnf(c_0_50,plain,
mult(mult(rd(X1,mult(X2,X1)),X2),mult(X2,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_49,c_0_27]),c_0_13]),c_0_18]),c_0_9]),c_0_18]),c_0_12]) ).
cnf(c_0_51,plain,
mult(ld(X1,X1),X1) = X1,
inference(pm,[status(thm)],[c_0_49,c_0_28]) ).
cnf(c_0_52,plain,
mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_46,c_0_50]) ).
cnf(c_0_53,plain,
mult(mult(rd(X1,X2),rd(X2,X1)),rd(X1,X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_54,plain,
mult(rd(X1,X1),mult(mult(rd(X2,mult(X1,X2)),X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_18,c_0_49]) ).
cnf(c_0_55,plain,
ld(ld(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_51]) ).
cnf(c_0_56,plain,
mult(X1,mult(rd(X1,mult(X1,mult(X1,X1))),mult(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_52]) ).
cnf(c_0_57,plain,
mult(mult(rd(X1,mult(X2,X1)),X2),rd(X3,mult(X2,X3))) = rd(X3,mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_24]),c_0_13]),c_0_15]) ).
cnf(c_0_58,plain,
mult(mult(rd(X1,mult(X2,X1)),X2),X3) = mult(rd(X2,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_54]),c_0_13]),c_0_15]),c_0_30]) ).
cnf(c_0_59,plain,
mult(rd(rd(X1,X2),rd(X1,X2)),X3) = mult(mult(rd(X1,X2),rd(X2,X1)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_26]),c_0_13]),c_0_15]) ).
cnf(c_0_60,plain,
mult(ld(X1,X1),X2) = mult(rd(X1,X1),X2),
inference(spm,[status(thm)],[c_0_34,c_0_55]) ).
cnf(c_0_61,plain,
ld(X1,X1) = mult(rd(X1,mult(X1,mult(X1,X1))),mult(X1,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_56]) ).
cnf(c_0_62,plain,
mult(rd(X1,X1),rd(X2,mult(X1,X2))) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_54,c_0_57]) ).
cnf(c_0_63,plain,
mult(mult(rd(X1,mult(X2,X1)),X2),X3) = mult(mult(X2,rd(X1,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(spm,[status(thm)],[c_0_58,c_0_18]),c_0_13]),c_0_15]),c_0_59]),c_0_13]),c_0_15]) ).
cnf(c_0_64,plain,
mult(mult(rd(X1,mult(X1,mult(X1,X1))),mult(X1,X1)),X2) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,plain,
mult(mult(rd(X1,X2),rd(X2,X1)),rd(X3,mult(rd(X1,X2),X3))) = rd(X3,mult(rd(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_59,c_0_62]) ).
cnf(c_0_66,plain,
mult(rd(X1,mult(rd(X2,mult(X2,mult(X2,X2))),X1)),X3) = mult(mult(X2,X2),X3),
inference(spm,[status(thm)],[c_0_42,c_0_52]) ).
cnf(c_0_67,plain,
mult(mult(mult(X1,X1),rd(X1,mult(X1,mult(X1,X1)))),X2) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_52]),c_0_64]) ).
cnf(c_0_68,plain,
mult(rd(X1,X1),rd(X2,mult(mult(X1,X1),X2))) = rd(X2,mult(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_65,c_0_66]),c_0_13]),c_0_15]),c_0_66]),c_0_67]) ).
cnf(c_0_69,plain,
mult(mult(X1,rd(X2,mult(X1,X2))),mult(rd(X1,X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_70,plain,
mult(rd(X1,X1),mult(X1,X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_54,c_0_50]) ).
cnf(c_0_71,plain,
mult(rd(X1,X1),mult(mult(mult(X1,X1),rd(X2,mult(mult(X1,X1),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_20,c_0_68]),c_0_59]),c_0_13]),c_0_15]),c_0_63]) ).
cnf(c_0_72,plain,
mult(mult(X1,rd(X2,mult(X1,X2))),mult(X1,X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_73,plain,
mult(rd(X1,X1),mult(mult(X1,X1),mult(X1,X1))) = mult(mult(X1,X1),mult(X1,X1)),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_74,plain,
mult(X1,mult(rd(X1,X1),mult(mult(X1,X1),X2))) = mult(mult(X1,X1),mult(rd(X1,X1),mult(X1,X2))),
inference(spm,[status(thm)],[c_0_41,c_0_41]) ).
cnf(c_0_75,plain,
mult(mult(X1,X1),mult(rd(X1,X1),mult(mult(X1,X1),X2))) = mult(mult(mult(X1,X1),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_40,c_0_73]),c_0_70]),c_0_40]),c_0_12]),c_0_12]),c_0_41]) ).
cnf(c_0_76,plain,
mult(mult(X1,X1),mult(rd(X1,X1),mult(X1,mult(X1,X1)))) = mult(X1,mult(mult(X1,X1),mult(X1,X1))),
inference(spm,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_77,plain,
mult(mult(mult(X1,X1),mult(X1,X1)),X1) = mult(X1,mult(mult(X1,X1),mult(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_52]),c_0_76]) ).
cnf(c_0_78,plain,
mult(rd(X1,mult(rd(X2,mult(X3,mult(X4,mult(X3,X2)))),X1)),X5) = mult(X3,mult(X4,mult(X3,X5))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_9]),c_0_9]) ).
cnf(c_0_79,plain,
mult(mult(mult(X1,X1),mult(X1,X1)),mult(rd(X2,mult(X1,X2)),X1)) = mult(mult(X1,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_27,c_0_27]),c_0_13]),c_0_18]),c_0_9]),c_0_18]),c_0_12]) ).
cnf(c_0_80,plain,
mult(mult(mult(X1,X1),mult(X1,X1)),X2) = mult(X1,mult(mult(X1,X1),mult(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_77]),c_0_78]) ).
cnf(c_0_81,plain,
mult(X1,mult(X2,mult(rd(X3,mult(X2,mult(X1,mult(X2,X3)))),mult(X2,X4)))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_9]) ).
cnf(c_0_82,plain,
mult(mult(X1,X1),mult(X1,X1)) = mult(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_20]),c_0_52]) ).
cnf(c_0_83,plain,
mult(rd(X1,X1),mult(X1,mult(rd(X2,mult(mult(X1,X1),X2)),mult(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_81,c_0_41]) ).
cnf(c_0_84,plain,
mult(rd(X1,mult(mult(X2,X2),X1)),mult(X2,mult(X2,mult(X2,X2)))) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_18,c_0_82]) ).
cnf(c_0_85,plain,
mult(rd(X1,X1),mult(X1,mult(X1,X1))) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_86,plain,
mult(mult(X1,mult(X1,X1)),X2) = mult(X1,mult(X1,mult(X1,X2))),
inference(spm,[status(thm)],[c_0_9,c_0_52]) ).
cnf(c_0_87,plain,
mult(mult(X1,mult(X1,mult(X1,rd(X1,X1)))),X2) = mult(rd(X1,X1),mult(X1,mult(X1,mult(X1,mult(rd(X1,X1),X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_85]),c_0_86]),c_0_86]) ).
cnf(c_0_88,plain,
mult(rd(X1,X1),mult(X1,mult(X1,mult(X1,X1)))) = mult(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_82]),c_0_82]) ).
cnf(c_0_89,plain,
mult(mult(X1,mult(X1,mult(X1,X1))),X2) = mult(X1,mult(mult(X1,X1),mult(X1,X2))),
inference(spm,[status(thm)],[c_0_9,c_0_86]) ).
cnf(c_0_90,plain,
mult(X1,mult(mult(X1,mult(X1,rd(X1,X1))),mult(X1,X2))) = mult(X1,mult(mult(X1,X1),mult(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_87]),c_0_12]),c_0_88]),c_0_89]) ).
cnf(c_0_91,plain,
mult(mult(X1,mult(X1,rd(X1,X1))),mult(X1,X2)) = mult(mult(X1,X1),mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_90]),c_0_18]) ).
cnf(c_0_92,plain,
mult(X1,mult(rd(X2,mult(X1,mult(X3,mult(X1,X2)))),mult(X1,mult(X3,X4)))) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_9]) ).
cnf(c_0_93,plain,
mult(mult(mult(X1,X2),rd(X3,mult(rd(X4,mult(X1,X4)),X3))),X5) = mult(X1,mult(X2,mult(X1,X5))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_42]),c_0_42]),c_0_42]) ).
cnf(c_0_94,plain,
mult(mult(X1,mult(X1,rd(X1,X1))),X2) = mult(mult(X1,X1),X2),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,plain,
mult(mult(X1,X1),rd(X2,mult(rd(X3,mult(X1,X3)),X2))) = mult(X1,mult(X1,rd(X2,mult(rd(X3,mult(X1,X3)),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_42]),c_0_44]),c_0_42]) ).
cnf(c_0_96,plain,
mult(mult(X1,mult(X1,rd(X2,mult(rd(X3,mult(X1,X3)),X2)))),X4) = mult(X1,mult(X1,mult(X1,X4))),
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_42]),c_0_42]),c_0_42]),c_0_42]),c_0_42]) ).
cnf(c_0_97,plain,
mult(mult(X1,X1),mult(rd(X1,X1),mult(X1,X2))) = mult(X1,mult(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_93,c_0_94]),c_0_95]),c_0_96]),c_0_19]),c_0_41]),c_0_74]) ).
cnf(c_0_98,plain,
mult(mult(X1,mult(mult(X1,X1),mult(X1,X1))),X2) = mult(X1,mult(X1,mult(X1,mult(X1,mult(X1,X2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_89]),c_0_86]) ).
cnf(c_0_99,plain,
mult(rd(X1,mult(rd(X2,X3),X1)),X4) = mult(rd(X3,X2),X4),
inference(spm,[status(thm)],[c_0_18,c_0_26]) ).
cnf(c_0_100,plain,
mult(mult(X1,X1),mult(rd(X1,X1),X2)) = mult(X1,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_97,c_0_92]) ).
cnf(c_0_101,plain,
mult(X1,mult(rd(X2,mult(mult(X1,X1),X2)),mult(X1,mult(rd(X1,X1),X3)))) = X3,
inference(spm,[status(thm)],[c_0_92,c_0_41]) ).
cnf(c_0_102,plain,
mult(rd(X1,mult(mult(rd(X2,X3),rd(X3,X2)),X1)),X4) = mult(mult(rd(X2,X3),rd(X3,X2)),X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_59]) ).
cnf(c_0_103,plain,
mult(mult(X1,X1),mult(X1,mult(mult(X1,X1),X2))) = mult(X1,mult(X1,mult(X1,mult(X1,mult(X1,X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_82]),c_0_36]) ).
cnf(c_0_104,plain,
mult(mult(rd(X1,X2),rd(X3,mult(rd(X1,X2),X3))),rd(X2,X1)) = rd(X2,X1),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_99]),c_0_63]) ).
cnf(c_0_105,plain,
mult(X1,mult(X1,mult(rd(X1,X1),X2))) = 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_100,c_0_101]),c_0_59]),c_0_102]),c_0_103]),c_0_26]),c_0_26]) ).
cnf(c_0_106,plain,
mult(mult(rd(X1,mult(X2,X1)),rd(X3,mult(rd(X4,mult(X2,X4)),X3))),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_104,c_0_24]),c_0_13]),c_0_15]),c_0_13]),c_0_15]) ).
cnf(c_0_107,plain,
mult(rd(X1,X1),mult(X1,mult(rd(X1,mult(X1,mult(X1,X1))),mult(X1,X2)))) = X2,
inference(spm,[status(thm)],[c_0_81,c_0_70]) ).
cnf(c_0_108,plain,
mult(rd(X1,X1),mult(X1,X2)) = mult(X1,mult(rd(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_105]),c_0_18]) ).
cnf(c_0_109,plain,
mult(mult(rd(X1,X1),mult(X1,rd(X2,mult(X1,X2)))),rd(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_38]),c_0_13]),c_0_15]) ).
cnf(c_0_110,plain,
mult(X1,mult(mult(rd(X2,mult(X1,X2)),rd(X3,mult(X1,X3))),mult(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_106]),c_0_42]),c_0_42]) ).
cnf(c_0_111,plain,
mult(X1,mult(rd(X1,mult(X1,mult(X1,X1))),mult(X1,X2))) = mult(rd(X1,X1),X2),
inference(spm,[status(thm)],[c_0_26,c_0_107]) ).
cnf(c_0_112,plain,
rd(X1,X2) = mult(mult(rd(X1,X3),rd(X3,mult(rd(X1,X3),X2))),rd(X1,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_113,plain,
mult(rd(X1,X1),mult(mult(X1,X1),X2)) = mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_66]),c_0_59]),c_0_13]),c_0_15]),c_0_66]),c_0_67]),c_0_59]),c_0_13]),c_0_15]),c_0_66]),c_0_67]),c_0_66]),c_0_100]) ).
cnf(c_0_114,plain,
mult(mult(mult(X1,rd(X2,mult(X1,X2))),rd(X1,X1)),rd(X1,X1)) = rd(X1,X1),
inference(pm,[status(thm)],[c_0_53,c_0_37]) ).
cnf(c_0_115,plain,
mult(mult(X1,rd(X2,mult(X1,X2))),rd(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_108]),c_0_62]) ).
cnf(c_0_116,plain,
mult(X1,mult(rd(X1,X1),mult(rd(X2,mult(X1,X2)),X3))) = mult(rd(X1,X1),X3),
inference(spm,[status(thm)],[c_0_108,c_0_20]) ).
cnf(c_0_117,plain,
mult(mult(X1,X1),mult(mult(rd(X2,mult(X1,X2)),rd(X3,mult(X1,X3))),X4)) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_110]),c_0_41]) ).
cnf(c_0_118,plain,
mult(X1,mult(rd(X1,X1),mult(rd(X1,mult(X1,mult(X1,X1))),mult(X1,X2)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_111]),c_0_26]) ).
cnf(c_0_119,plain,
rd(X1,mult(mult(X1,X1),X2)) = mult(mult(rd(X1,X1),rd(X1,mult(X1,mult(X1,X2)))),rd(X1,X1)),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_120,plain,
mult(mult(rd(X1,mult(X2,X1)),rd(X2,X2)),X3) = mult(rd(X2,X2),mult(rd(X1,mult(X2,X1)),mult(rd(X2,X2),X3))),
inference(spm,[status(thm)],[c_0_9,c_0_62]) ).
cnf(c_0_121,plain,
mult(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_122,plain,
mult(rd(X1,X1),mult(rd(X2,mult(X1,X2)),rd(X1,X1))) = mult(rd(X2,mult(X1,X2)),rd(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_62,c_0_116]),c_0_13]),c_0_26]),c_0_13]),c_0_15]),c_0_62]),c_0_13]),c_0_26]),c_0_13]),c_0_15]),c_0_62]) ).
cnf(c_0_123,plain,
mult(mult(rd(X1,mult(X2,X1)),rd(X3,mult(X2,X3))),mult(mult(X2,X2),X4)) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_110]),c_0_41]) ).
cnf(c_0_124,plain,
mult(mult(X1,rd(X2,mult(X1,X2))),X3) = mult(mult(X1,X1),mult(rd(X2,mult(X1,X2)),mult(rd(X2,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_117,c_0_100]),c_0_59]),c_0_13]),c_0_15]),c_0_63]) ).
cnf(c_0_125,plain,
mult(rd(X1,mult(X1,mult(X1,X1))),mult(X1,X2)) = mult(X1,mult(rd(X1,mult(X1,mult(X1,X1))),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_118]),c_0_26]) ).
cnf(c_0_126,plain,
mult(mult(rd(X1,X1),rd(X2,mult(rd(X3,mult(X1,X3)),X2))),X4) = mult(X1,X4),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_93,c_0_37]),c_0_18]) ).
cnf(c_0_127,plain,
mult(rd(X1,mult(X1,mult(X1,X1))),mult(mult(X1,X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_52]) ).
cnf(c_0_128,plain,
mult(mult(rd(X1,X1),rd(X2,mult(rd(X1,X1),X2))),X3) = mult(mult(rd(X1,X1),rd(X1,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_102,c_0_95]),c_0_26]),c_0_59]),c_0_13]),c_0_15]),c_0_42]) ).
cnf(c_0_129,plain,
mult(mult(mult(X1,X1),rd(X1,X1)),X2) = mult(rd(X1,X1),mult(mult(X1,X1),mult(rd(X1,X1),X2))),
inference(spm,[status(thm)],[c_0_9,c_0_39]) ).
cnf(c_0_130,plain,
mult(mult(rd(X1,X2),rd(X2,X1)),mult(mult(rd(X1,X2),rd(X2,X1)),X3)) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_26]),c_0_13]),c_0_15]),c_0_59]) ).
cnf(c_0_131,plain,
mult(rd(X1,mult(X1,X1)),rd(X1,X1)) = rd(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_27]),c_0_20]),c_0_62]) ).
cnf(c_0_132,plain,
mult(rd(X1,X1),mult(rd(X2,mult(X1,X2)),mult(rd(X1,X1),X3))) = mult(rd(X2,mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_120,c_0_116]),c_0_13]),c_0_26]),c_0_13]),c_0_15]),c_0_62]),c_0_120]),c_0_121]),c_0_13]),c_0_26]),c_0_13]),c_0_15]),c_0_62]),c_0_120]),c_0_26]),c_0_26]),c_0_122]),c_0_120]) ).
cnf(c_0_133,plain,
mult(rd(X1,mult(X2,X1)),mult(rd(X1,mult(X2,X1)),mult(mult(X2,X2),X3))) = mult(mult(X2,X2),mult(rd(X1,mult(X2,X1)),mult(rd(X1,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(spm,[status(thm)],[c_0_113,c_0_123]),c_0_59]),c_0_13]),c_0_15]),c_0_63]),c_0_124]) ).
cnf(c_0_134,plain,
mult(mult(X1,X1),mult(X1,X2)) = mult(X1,mult(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_108]),c_0_105]) ).
cnf(c_0_135,plain,
mult(mult(X1,mult(rd(X1,mult(X1,mult(X1,X1))),X1)),X2) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[c_0_64,c_0_125]) ).
cnf(c_0_136,plain,
mult(rd(X1,X1),rd(X2,mult(rd(X3,mult(X1,X3)),X2))) = rd(X2,mult(rd(X3,mult(X1,X3)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_126]),c_0_126]),c_0_69]) ).
cnf(c_0_137,plain,
mult(mult(X1,X1),mult(rd(X1,X1),mult(mult(X1,X1),X2))) = mult(X1,mult(mult(X1,X1),mult(X1,X2))),
inference(rw,[status(thm)],[c_0_75,c_0_80]) ).
cnf(c_0_138,plain,
mult(mult(X1,X1),mult(rd(X1,mult(X1,mult(X1,X1))),X2)) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_52]) ).
cnf(c_0_139,plain,
mult(mult(rd(X1,X1),rd(X1,mult(X1,mult(X1,X1)))),X2) = mult(rd(X1,mult(X1,mult(X1,X1))),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_64]),c_0_127]) ).
cnf(c_0_140,plain,
mult(mult(rd(X1,X1),rd(X1,X1)),rd(rd(X1,X1),rd(X1,X1))) = rd(rd(X1,X1),rd(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_128]),c_0_129]),c_0_59]),c_0_130]),c_0_59]) ).
cnf(c_0_141,plain,
mult(X1,rd(X1,mult(X1,X1))) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_131]),c_0_42]) ).
cnf(c_0_142,plain,
mult(mult(rd(X1,mult(X2,X1)),rd(X2,X2)),X3) = mult(rd(X1,mult(X2,X1)),X3),
inference(rw,[status(thm)],[c_0_120,c_0_132]) ).
cnf(c_0_143,plain,
mult(rd(X1,mult(X2,X1)),mult(mult(X2,X2),X3)) = mult(mult(X2,X2),mult(rd(X1,mult(X2,X1)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_18]),c_0_18]) ).
cnf(c_0_144,plain,
mult(X1,mult(mult(rd(X1,mult(X1,mult(X1,X1))),X1),mult(X1,X2))) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_135]),c_0_136]),c_0_42]) ).
cnf(c_0_145,plain,
mult(mult(X1,X1),mult(rd(X2,mult(X1,X2)),mult(rd(X2,mult(X1,X2)),X1))) = X1,
inference(rw,[status(thm)],[c_0_15,c_0_124]) ).
cnf(c_0_146,plain,
mult(mult(X1,X1),mult(mult(X1,X1),mult(X1,X2))) = mult(X1,mult(mult(X1,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_137]),c_0_41]),c_0_74]),c_0_75]),c_0_82]),c_0_89]),c_0_41]) ).
cnf(c_0_147,plain,
mult(X1,mult(X1,mult(rd(X1,mult(X1,mult(X1,X1))),X2))) = mult(rd(X1,X1),X2),
inference(spm,[status(thm)],[c_0_113,c_0_138]) ).
cnf(c_0_148,plain,
mult(rd(X1,mult(X1,mult(X1,X1))),rd(X1,X1)) = rd(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_52]),c_0_139]) ).
cnf(c_0_149,plain,
mult(mult(rd(X1,X2),rd(X1,X2)),mult(rd(X2,X1),rd(X1,X2))) = mult(rd(X1,X2),rd(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_13]),c_0_15]) ).
cnf(c_0_150,plain,
mult(rd(X1,X1),rd(rd(X1,X1),rd(X1,X1))) = rd(rd(X1,X1),rd(X1,X1)),
inference(rw,[status(thm)],[c_0_140,c_0_121]) ).
cnf(c_0_151,plain,
mult(mult(X1,rd(rd(X1,mult(X1,X1)),mult(X1,X2))),X1) = rd(rd(X1,X1),X2),
inference(spm,[status(thm)],[c_0_13,c_0_141]) ).
cnf(c_0_152,plain,
mult(rd(rd(X1,mult(X1,X1)),rd(X1,X1)),X2) = mult(rd(X1,mult(X1,X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_141]),c_0_12]) ).
cnf(c_0_153,plain,
mult(mult(X1,X1),mult(rd(X2,mult(X1,X2)),mult(rd(X3,mult(X1,X3)),X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_27]),c_0_18]) ).
cnf(c_0_154,plain,
mult(mult(rd(X1,mult(X1,mult(X1,X1))),X1),mult(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_144]),c_0_13]),c_0_13]),c_0_144]),c_0_124]),c_0_145]),c_0_9]),c_0_144]) ).
cnf(c_0_155,plain,
mult(mult(mult(X1,mult(X1,X2)),rd(X1,X1)),X3) = mult(rd(X1,X1),mult(mult(mult(X1,X1),X2),mult(rd(X1,X1),X3))),
inference(spm,[status(thm)],[c_0_9,c_0_113]) ).
cnf(c_0_156,plain,
mult(X1,mult(mult(X1,X1),mult(X1,mult(rd(X1,X1),X2)))) = mult(mult(X1,X1),mult(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_101]),c_0_20]) ).
cnf(c_0_157,plain,
rd(X1,mult(rd(X1,X1),X2)) = mult(mult(rd(X1,X1),rd(X1,X2)),rd(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(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_116]),c_0_13]),c_0_19]),c_0_86]),c_0_147]),c_0_12]),c_0_125]),c_0_135]),c_0_13]),c_0_19]),c_0_86]),c_0_147]),c_0_12]),c_0_125]),c_0_135]),c_0_105]),c_0_20]) ).
cnf(c_0_158,plain,
rd(rd(X1,X1),rd(X1,X1)) = rd(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_121]),c_0_149]),c_0_121]),c_0_13]),c_0_26]),c_0_150]),c_0_59]),c_0_53]),c_0_59]),c_0_53]),c_0_121]),c_0_149]),c_0_121]) ).
cnf(c_0_159,plain,
rd(rd(X1,X1),rd(X1,mult(X1,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_124,c_0_151]),c_0_141]),c_0_141]),c_0_152]),c_0_152]),c_0_153]) ).
cnf(c_0_160,plain,
rd(X1,mult(X1,X1)) = mult(rd(X2,mult(X1,X2)),rd(X1,X1)),
inference(spm,[status(thm)],[c_0_24,c_0_131]) ).
cnf(c_0_161,plain,
mult(X1,mult(mult(rd(X1,mult(X1,mult(X1,X1))),X1),X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_154]),c_0_13]),c_0_124]),c_0_145]) ).
cnf(c_0_162,plain,
mult(mult(mult(mult(X1,X1),X2),rd(X1,X1)),X3) = mult(rd(X1,X1),mult(mult(X1,mult(X1,X2)),mult(rd(X1,X1),X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_105]),c_0_100]) ).
cnf(c_0_163,plain,
mult(mult(rd(X1,mult(X2,X1)),rd(X3,mult(X2,X3))),mult(X2,mult(X2,X2))) = X2,
inference(spm,[status(thm)],[c_0_123,c_0_52]) ).
cnf(c_0_164,plain,
mult(X1,mult(mult(X1,X1),mult(rd(X2,mult(X1,X2)),X3))) = mult(mult(X1,X1),X3),
inference(spm,[status(thm)],[c_0_134,c_0_20]) ).
cnf(c_0_165,plain,
mult(mult(X1,X1),mult(mult(X1,X1),X2)) = mult(X1,mult(X1,mult(X1,mult(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_134]),c_0_100]) ).
cnf(c_0_166,plain,
rd(rd(X1,X1),mult(rd(X1,X1),X2)) = mult(rd(rd(X1,X1),X2),mult(X2,mult(rd(rd(X1,X1),X2),rd(X1,X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_19]) ).
cnf(c_0_167,plain,
rd(rd(X1,X1),mult(rd(X2,mult(X1,X2)),rd(X1,X1))) = X1,
inference(pm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_168,plain,
mult(mult(X1,X1),mult(mult(rd(X1,mult(X1,mult(X1,X1))),X1),X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_161]),c_0_13]),c_0_124]),c_0_145]) ).
cnf(c_0_169,plain,
mult(mult(X1,rd(rd(X2,mult(X1,X2)),rd(X2,mult(X1,X2)))),X3) = 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_163]),c_0_18]),c_0_18]),c_0_59]),c_0_13]),c_0_15]),c_0_63]),c_0_124]),c_0_164]),c_0_59]),c_0_13]),c_0_15]),c_0_63]),c_0_124]),c_0_143]),c_0_143]),c_0_165]),c_0_20]),c_0_20]),c_0_20]) ).
cnf(c_0_170,plain,
mult(mult(rd(X1,mult(X1,mult(X1,X1))),X1),rd(X1,X1)) = rd(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_154,c_0_141]) ).
cnf(c_0_171,plain,
mult(X1,rd(X1,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_166,c_0_122]),c_0_42]),c_0_142]),c_0_18]),c_0_42]),c_0_167]) ).
cnf(c_0_172,plain,
mult(mult(X1,X1),rd(X1,X1)) = mult(X1,mult(X1,rd(X1,X1))),
inference(spm,[status(thm)],[c_0_100,c_0_121]) ).
cnf(c_0_173,plain,
mult(mult(rd(X1,mult(X1,mult(X1,X1))),X1),X1) = mult(X1,mult(rd(X1,mult(X1,mult(X1,X1))),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_168]),c_0_125]) ).
cnf(c_0_174,plain,
mult(mult(rd(X1,mult(X1,mult(X1,X1))),X1),X2) = mult(rd(X1,mult(X1,X1)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_159]),c_0_159]),c_0_170]) ).
cnf(c_0_175,plain,
mult(mult(X1,rd(X2,mult(X1,X2))),rd(X3,mult(X1,X3))) = rd(X3,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_69,c_0_62]) ).
cnf(c_0_176,plain,
mult(mult(rd(X1,X2),rd(X2,X1)),rd(X3,mult(rd(X2,X1),X3))) = rd(X3,mult(rd(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_99]),c_0_13]),c_0_15]) ).
cnf(c_0_177,plain,
mult(rd(X1,X1),rd(rd(X1,X1),X1)) = rd(rd(X1,X1),X1),
inference(spm,[status(thm)],[c_0_62,c_0_171]) ).
cnf(c_0_178,plain,
mult(rd(X1,mult(X2,X1)),X2) = rd(X2,X2),
inference(spm,[status(thm)],[c_0_18,c_0_171]) ).
cnf(c_0_179,plain,
mult(mult(X1,X1),rd(X1,X1)) = mult(X1,X1),
inference(rw,[status(thm)],[c_0_172,c_0_171]) ).
cnf(c_0_180,plain,
mult(X1,mult(rd(X1,mult(X1,mult(X1,X1))),X1)) = mult(rd(X1,mult(X1,X1)),X1),
inference(rw,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_181,plain,
mult(rd(X1,X1),rd(X2,mult(rd(X1,X1),X2))) = rd(X2,mult(rd(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(spm,[status(thm)],[c_0_175,c_0_121]),c_0_19]),c_0_59]),c_0_176]),c_0_59]),c_0_134]),c_0_176]) ).
cnf(c_0_182,plain,
rd(X1,mult(X2,X1)) = rd(rd(X2,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_177,c_0_178]),c_0_13]),c_0_15]),c_0_62]) ).
cnf(c_0_183,plain,
rd(rd(X1,X2),rd(X1,X2)) = mult(rd(X2,X1),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_26,c_0_171]) ).
cnf(c_0_184,plain,
mult(rd(X1,mult(X1,X1)),X1) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_179]),c_0_125]),c_0_180]) ).
cnf(c_0_185,plain,
rd(X1,mult(rd(X2,X2),X1)) = rd(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_181,c_0_182]),c_0_183]),c_0_121]),c_0_183]),c_0_121]),c_0_121]) ).
cnf(c_0_186,plain,
mult(rd(X1,rd(X1,X1)),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_184]),c_0_42]) ).
cnf(c_0_187,plain,
mult(X1,rd(rd(X1,X1),X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_177]),c_0_183]),c_0_186]) ).
cnf(c_0_188,plain,
mult(X1,mult(X1,mult(rd(X2,mult(mult(X1,X1),X2)),mult(rd(X1,X1),X3)))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_113]),c_0_105]),c_0_100]) ).
cnf(c_0_189,plain,
mult(mult(X1,X1),rd(X2,mult(X1,X2))) = mult(X1,mult(X1,rd(X2,mult(X1,X2)))),
inference(spm,[status(thm)],[c_0_100,c_0_62]) ).
cnf(c_0_190,plain,
mult(X1,mult(X1,rd(X2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_187]),c_0_183]),c_0_13]),c_0_124]),c_0_153]),c_0_183]),c_0_13]),c_0_124]),c_0_153]),c_0_13]),c_0_15]) ).
cnf(c_0_191,plain,
mult(X1,mult(X1,mult(rd(X2,mult(mult(X1,X1),X2)),X1))) = X1,
inference(spm,[status(thm)],[c_0_188,c_0_12]) ).
cnf(c_0_192,plain,
mult(rd(X1,X1),rd(X1,mult(X1,mult(X1,X1)))) = rd(X1,mult(X1,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_68,c_0_138]),c_0_13]),c_0_15]),c_0_13]),c_0_15]) ).
cnf(c_0_193,plain,
mult(mult(X1,X1),rd(X2,mult(X1,X2))) = X1,
inference(rw,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_194,plain,
mult(X1,mult(X1,mult(rd(X1,mult(X1,mult(X1,X1))),X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_138]),c_0_13]),c_0_15]) ).
cnf(c_0_195,plain,
rd(rd(X1,X1),mult(X1,X1)) = rd(X1,mult(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_138]),c_0_13]),c_0_15]),c_0_13]),c_0_19]),c_0_86]),c_0_147]),c_0_12]),c_0_125]),c_0_180]),c_0_178]) ).
cnf(c_0_196,plain,
mult(mult(X1,X1),rd(X1,mult(X1,mult(X1,X1)))) = mult(X1,mult(X1,rd(X1,mult(X1,mult(X1,X1))))),
inference(spm,[status(thm)],[c_0_100,c_0_192]) ).
cnf(c_0_197,plain,
rd(rd(X1,mult(X2,X1)),X2) = rd(X2,mult(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_182,c_0_193]),c_0_13]),c_0_19]),c_0_86]),c_0_194]),c_0_125]),c_0_180]),c_0_184]),c_0_195]) ).
cnf(c_0_198,plain,
mult(rd(rd(X1,mult(X1,X1)),rd(X1,X1)),mult(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_141]) ).
cnf(c_0_199,plain,
mult(X1,mult(X1,rd(X1,mult(X1,mult(X1,X1))))) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_148]),c_0_66]),c_0_196]) ).
cnf(c_0_200,plain,
mult(rd(X1,X1),mult(rd(X2,mult(X1,X2)),X1)) = mult(rd(X2,mult(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_132,c_0_12]) ).
cnf(c_0_201,plain,
rd(rd(rd(X1,X1),X1),X1) = rd(X1,mult(X1,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_197,c_0_171]) ).
cnf(c_0_202,plain,
mult(X1,rd(X1,mult(X1,mult(X1,X1)))) = rd(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_12]) ).
cnf(c_0_203,plain,
rd(X1,mult(rd(X2,mult(X1,X2)),X1)) = mult(X1,rd(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_200]),c_0_136]),c_0_42]) ).
cnf(c_0_204,plain,
rd(rd(X1,X1),X1) = mult(rd(X1,mult(X1,mult(X1,X1))),X1),
inference(spm,[status(thm)],[c_0_12,c_0_201]) ).
cnf(c_0_205,plain,
mult(rd(X1,mult(X1,mult(X1,X1))),X1) = rd(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_171]),c_0_148]),c_0_202]) ).
cnf(c_0_206,plain,
rd(X1,mult(rd(X2,mult(X1,X2)),X1)) = X1,
inference(rw,[status(thm)],[c_0_203,c_0_171]) ).
cnf(c_0_207,plain,
rd(rd(X1,X1),X1) = rd(X1,mult(X1,X1)),
inference(rw,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_208,plain,
rd(X1,mult(rd(X2,mult(X3,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(pm,[status(thm)],[c_0_136,c_0_182]),c_0_183]),c_0_13]),c_0_15]),c_0_13]),c_0_15]),c_0_12]) ).
cnf(c_0_209,plain,
mult(rd(X1,rd(X2,mult(X1,X2))),X3) = mult(mult(X1,X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_197]),c_0_66]) ).
cnf(c_0_210,plain,
rd(X1,rd(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_141]),c_0_152]),c_0_184]) ).
cnf(c_0_211,plain,
rd(rd(X1,X1),X2) = mult(mult(rd(X1,mult(X1,X1)),rd(X1,mult(rd(X1,mult(X1,X1)),X2))),rd(X1,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_112,c_0_207]) ).
cnf(c_0_212,plain,
mult(rd(X1,mult(mult(X2,X2),X1)),mult(X2,mult(X2,X2))) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_52]) ).
cnf(c_0_213,plain,
mult(mult(rd(X1,mult(X2,X1)),X2),X3) = mult(mult(X2,X2),mult(rd(X1,mult(X2,X1)),mult(rd(X1,mult(X2,X1)),X3))),
inference(rw,[status(thm)],[c_0_63,c_0_124]) ).
cnf(c_0_214,plain,
mult(mult(X1,mult(X1,mult(X1,X1))),X2) = mult(X1,mult(X1,mult(mult(X1,X1),X2))),
inference(rw,[status(thm)],[c_0_89,c_0_134]) ).
cnf(c_0_215,plain,
rd(X1,rd(X2,mult(X1,X2))) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_208]) ).
cnf(c_0_216,plain,
mult(rd(X1,mult(X1,X1)),mult(rd(X1,X1),X2)) = mult(rd(X1,X1),mult(rd(X1,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_143,c_0_152]),c_0_152]),c_0_19]),c_0_152]),c_0_152]),c_0_42]),c_0_20]),c_0_152]),c_0_42]),c_0_19]),c_0_198]),c_0_152]) ).
cnf(c_0_217,plain,
mult(mult(X1,mult(mult(rd(X1,mult(X1,X1)),rd(X1,X2)),rd(X1,mult(X1,X1)))),X1) = rd(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_210]),c_0_211]),c_0_18]) ).
cnf(c_0_218,plain,
mult(rd(X1,mult(mult(X2,X2),X1)),mult(X2,mult(X2,X3))) = mult(X2,mult(X2,mult(rd(X1,mult(mult(X2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_116,c_0_212]),c_0_13]),c_0_13]),c_0_19]),c_0_86]),c_0_194]),c_0_111]),c_0_12]),c_0_59]),c_0_13]),c_0_15]),c_0_213]),c_0_82]),c_0_18]),c_0_89]),c_0_134]),c_0_20]),c_0_59]),c_0_13]),c_0_15]),c_0_63]),c_0_124]),c_0_82]),c_0_214]),c_0_20]) ).
cnf(c_0_219,plain,
mult(X1,mult(X1,mult(rd(X2,mult(mult(X1,X1),X2)),rd(X1,X1)))) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_47]),c_0_102]),c_0_149]),c_0_121]) ).
cnf(c_0_220,plain,
mult(rd(X1,mult(X2,X1)),X2) = mult(X2,rd(X1,mult(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_208]),c_0_183]),c_0_13]),c_0_15]) ).
cnf(c_0_221,plain,
mult(mult(X1,X1),rd(X2,mult(mult(X1,X1),X2))) = mult(X1,mult(X1,rd(X2,mult(mult(X1,X1),X2)))),
inference(spm,[status(thm)],[c_0_100,c_0_68]) ).
cnf(c_0_222,plain,
mult(rd(X1,mult(rd(X2,X3),X1)),mult(rd(X4,mult(rd(X3,X2),X4)),X5)) = X5,
inference(pm,[status(thm)],[c_0_20,c_0_99]) ).
cnf(c_0_223,plain,
rd(X1,mult(X1,mult(X1,X1))) = mult(rd(X1,mult(X1,X1)),rd(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(spm,[status(thm)],[c_0_215,c_0_216]),c_0_13]),c_0_26]),c_0_208]),c_0_12]),c_0_171]),c_0_197]) ).
cnf(c_0_224,plain,
mult(mult(X1,mult(mult(rd(X1,mult(X1,X1)),X2),rd(X1,mult(X1,X1)))),X1) = X2,
inference(spm,[status(thm)],[c_0_217,c_0_208]) ).
cnf(c_0_225,plain,
rd(X1,mult(rd(X2,mult(X3,mult(X4,mult(X3,X2)))),X1)) = mult(mult(X3,X4),X3),
inference(spm,[status(thm)],[c_0_208,c_0_9]) ).
cnf(c_0_226,plain,
mult(X1,mult(X1,rd(X2,mult(mult(X1,X1),X2)))) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_171]),c_0_219]),c_0_220]),c_0_221]) ).
cnf(c_0_227,plain,
rd(X1,X2) = rd(X3,mult(rd(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_222]),c_0_13]),c_0_15]),c_0_208]) ).
cnf(c_0_228,plain,
rd(rd(X1,mult(X2,X1)),X2) = mult(rd(X2,mult(X2,X2)),rd(X2,mult(X2,X2))),
inference(rw,[status(thm)],[c_0_197,c_0_223]) ).
cnf(c_0_229,plain,
mult(mult(X1,mult(X2,rd(X1,mult(X1,X1)))),X1) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_20]),c_0_42]) ).
cnf(c_0_230,plain,
rd(X1,rd(X2,mult(mult(X1,X1),X2))) = mult(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_225,c_0_226]),c_0_171]),c_0_52]),c_0_227]) ).
cnf(c_0_231,plain,
mult(X1,rd(rd(X2,mult(mult(X1,X1),X2)),X1)) = mult(rd(X1,mult(X1,X1)),rd(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(pm,[status(thm)],[c_0_228,c_0_226]),c_0_13]),c_0_171]),c_0_13]),c_0_124]),c_0_220]),c_0_18]),c_0_193]) ).
cnf(c_0_232,plain,
mult(X1,rd(X2,mult(X1,X2))) = rd(X1,X1),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_12,c_0_182]),c_0_220]) ).
cnf(c_0_233,plain,
mult(X1,rd(X2,rd(X1,mult(X1,X1)))) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_229,c_0_12]) ).
cnf(c_0_234,plain,
rd(X1,mult(X2,X1)) = rd(X3,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_208,c_0_208]) ).
cnf(c_0_235,plain,
mult(rd(X1,X1),rd(X2,mult(X1,mult(X1,mult(X1,X2))))) = rd(X2,mult(X1,mult(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_230]),c_0_86]),c_0_231]),c_0_20]),c_0_232]),c_0_86]),c_0_86]) ).
cnf(c_0_236,plain,
mult(X1,rd(X2,rd(X3,mult(X1,X3)))) = mult(mult(X1,X2),X1),
inference(pm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_237,plain,
mult(mult(X1,rd(X2,mult(X1,mult(rd(X3,mult(X4,X3)),mult(X1,X2))))),X1) = X4,
inference(spm,[status(thm)],[c_0_13,c_0_208]) ).
cnf(c_0_238,plain,
mult(mult(X1,X1),rd(X2,mult(X1,mult(X1,mult(X1,X2))))) = mult(X1,mult(X1,rd(X2,mult(X1,mult(X1,mult(X1,X2)))))),
inference(spm,[status(thm)],[c_0_100,c_0_235]) ).
cnf(c_0_239,plain,
rd(X1,mult(X2,X1)) = mult(rd(X3,mult(X2,X3)),rd(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_142]),c_0_42]) ).
cnf(c_0_240,plain,
rd(rd(X1,X2),mult(mult(rd(X3,mult(X2,X3)),X1),rd(X3,mult(X2,X3)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_236]),c_0_208]) ).
cnf(c_0_241,plain,
mult(mult(X1,mult(X1,rd(X2,mult(X1,mult(X1,mult(X1,X2)))))),mult(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_143]),c_0_165]),c_0_20]),c_0_238]) ).
cnf(c_0_242,plain,
mult(X1,rd(X2,mult(mult(X1,X1),X2))) = rd(X3,mult(X1,X3)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_239,c_0_226]),c_0_18]) ).
cnf(c_0_243,plain,
rd(rd(X1,rd(X2,mult(X3,X2))),mult(mult(X3,X1),X3)) = rd(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_143]),c_0_13]),c_0_165]),c_0_20]),c_0_238]),c_0_241]),c_0_13]),c_0_165]),c_0_20]),c_0_238]),c_0_241]) ).
cnf(c_0_244,plain,
mult(X1,rd(X2,mult(X1,rd(X3,mult(mult(X1,X1),X3))))) = mult(mult(X1,X2),X1),
inference(pm,[status(thm)],[c_0_236,c_0_242]) ).
cnf(c_0_245,plain,
rd(X1,rd(X2,mult(X3,X2))) = mult(rd(X2,mult(X3,X2)),mult(mult(X3,X1),X3)),
inference(spm,[status(thm)],[c_0_12,c_0_243]) ).
cnf(c_0_246,plain,
rd(X1,rd(X2,mult(mult(rd(X1,X3),rd(X1,X3)),X2))) = mult(rd(X1,X3),mult(X3,mult(rd(X1,X3),rd(X1,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_244]),c_0_12]),c_0_19]) ).
cnf(c_0_247,plain,
rd(rd(X1,X2),mult(rd(X1,X2),rd(X1,X2))) = mult(rd(X2,X1),rd(rd(X1,X2),rd(X1,X2))),
inference(spm,[status(thm)],[c_0_26,c_0_141]) ).
cnf(c_0_248,plain,
mult(rd(X1,X2),mult(rd(X1,X2),rd(X2,X1))) = rd(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_26]),c_0_13]),c_0_15]) ).
cnf(c_0_249,plain,
mult(mult(rd(X1,mult(X2,X1)),mult(mult(X2,X3),X2)),rd(X1,mult(X2,X1))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_18]),c_0_13]),c_0_20]),c_0_208]) ).
cnf(c_0_250,plain,
mult(mult(X1,rd(X2,mult(X1,rd(X3,mult(X4,X3))))),X1) = mult(rd(X3,mult(X4,X3)),mult(mult(X4,mult(X1,X2)),X4)),
inference(spm,[status(thm)],[c_0_13,c_0_245]) ).
cnf(c_0_251,plain,
rd(X1,mult(rd(X2,X1),rd(X2,X1))) = mult(rd(X1,X2),mult(X2,mult(rd(X1,X2),rd(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_171]),c_0_13]),c_0_223]),c_0_247]),c_0_183]),c_0_248]),c_0_247]),c_0_183]),c_0_248]),c_0_26]),c_0_13]),c_0_26]),c_0_183]),c_0_248]) ).
cnf(c_0_252,plain,
mult(mult(rd(X1,mult(X2,X1)),mult(mult(X2,X3),X2)),rd(X4,mult(X2,X4))) = X3,
inference(pm,[status(thm)],[c_0_249,c_0_234]) ).
cnf(c_0_253,plain,
mult(rd(X1,mult(X2,X1)),mult(mult(X2,X1),X2)) = mult(mult(X1,mult(X2,X2)),rd(X1,mult(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_13]),c_0_15]),c_0_13]),c_0_15]),c_0_13]),c_0_15]),c_0_18]),c_0_18]) ).
cnf(c_0_254,plain,
mult(mult(rd(X1,mult(X2,X1)),rd(X2,X2)),mult(X2,X3)) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_26,c_0_239]),c_0_13]),c_0_15]) ).
cnf(c_0_255,plain,
mult(mult(mult(X1,mult(X2,X2)),rd(X1,mult(X2,X1))),rd(X3,mult(X2,X3))) = X1,
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_256,plain,
mult(mult(X1,mult(X1,rd(X2,mult(X1,mult(X1,mult(X1,X2)))))),mult(X1,X3)) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_241]),c_0_13]),c_0_19]),c_0_27]),c_0_18]) ).
cnf(c_0_257,plain,
rd(X1,mult(mult(X2,mult(X2,rd(X3,mult(X2,mult(X2,mult(X2,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_234,c_0_241]),c_0_13]),c_0_19]),c_0_27]),c_0_18]) ).
cnf(c_0_258,plain,
rd(X1,mult(mult(rd(X2,mult(X3,X2)),rd(X3,X3)),X1)) = X3,
inference(pm,[status(thm)],[c_0_208,c_0_239]) ).
cnf(c_0_259,plain,
mult(mult(X1,X2),mult(mult(X1,rd(X2,mult(X1,mult(X1,X2)))),X1)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_171,c_0_13]) ).
cnf(c_0_260,plain,
mult(mult(X1,mult(X1,rd(X2,mult(mult(X1,X1),X2)))),X3) = mult(X1,mult(X1,mult(rd(X2,mult(mult(X1,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_124,c_0_221]),c_0_134]),c_0_52]),c_0_214]),c_0_20]) ).
cnf(c_0_261,plain,
mult(mult(X1,rd(X2,mult(mult(X1,X1),X2))),mult(X1,X3)) = X3,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_254,c_0_226]),c_0_18]) ).
cnf(c_0_262,plain,
mult(mult(mult(X1,mult(X2,rd(X3,mult(X2,mult(X2,mult(X2,X3)))))),X2),X2) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_256]),c_0_257]),c_0_13]),c_0_15]) ).
cnf(c_0_263,plain,
rd(X1,mult(mult(X2,rd(X3,mult(mult(X2,X2),X3))),X1)) = X2,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_258,c_0_226]),c_0_18]) ).
cnf(c_0_264,plain,
mult(rd(X1,mult(mult(X2,X2),X1)),rd(X2,X2)) = rd(X1,mult(mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_68]),c_0_68]),c_0_183]),c_0_13]),c_0_15]),c_0_221]),c_0_108]),c_0_108]),c_0_68]),c_0_260]),c_0_219]) ).
cnf(c_0_265,plain,
mult(mult(X1,rd(X2,mult(mult(X1,X1),X2))),X3) = mult(rd(X2,mult(mult(X1,X1),X2)),mult(X1,mult(X1,mult(X1,mult(rd(X2,mult(mult(X1,X1),X2)),X3))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_212]),c_0_86]) ).
cnf(c_0_266,plain,
mult(rd(X1,mult(mult(X2,X2),X1)),mult(X2,X3)) = mult(X2,mult(rd(X1,mult(mult(X2,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(spm,[status(thm)],[c_0_143,c_0_261]),c_0_13]),c_0_124]),c_0_153]),c_0_261]),c_0_261]),c_0_13]),c_0_124]),c_0_153]) ).
fof(c_0_267,negated_conjecture,
~ ! [X4,X5] :
( mult(X4,rd(X5,X5)) = X4
& mult(rd(X5,X5),X4) = X4 ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_268,plain,
rd(X1,mult(X2,rd(X3,mult(X2,mult(X2,mult(X2,X3)))))) = mult(mult(X1,X2),X2),
inference(spm,[status(thm)],[c_0_262,c_0_12]) ).
cnf(c_0_269,plain,
rd(X1,mult(X2,mult(X2,mult(X2,mult(rd(X3,mult(mult(X2,X2),X3)),mult(rd(X3,mult(mult(X2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_100]),c_0_13]),c_0_108]),c_0_41]),c_0_68]),c_0_264]),c_0_265]),c_0_218]),c_0_266]) ).
cnf(c_0_270,plain,
rd(X1,mult(mult(X2,X2),X1)) = mult(rd(X2,mult(X2,X2)),rd(X2,mult(X2,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_119,c_0_234]),c_0_139]),c_0_148]),c_0_223]) ).
cnf(c_0_271,plain,
mult(X1,mult(X1,mult(mult(rd(X1,mult(X1,X1)),rd(X1,mult(X1,X1))),X2))) = mult(rd(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_116,c_0_193]),c_0_13]),c_0_19]),c_0_86]),c_0_147]),c_0_12]),c_0_125]),c_0_180]),c_0_178]),c_0_100]),c_0_13]),c_0_19]),c_0_86]),c_0_147]),c_0_12]),c_0_125]),c_0_180]),c_0_178]),c_0_197]),c_0_223]) ).
cnf(c_0_272,plain,
mult(X1,mult(rd(X2,mult(mult(X1,X1),X2)),X1)) = mult(X1,mult(X1,rd(X2,mult(mult(X1,X1),X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_266]),c_0_221]) ).
fof(c_0_273,negated_conjecture,
( mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0
| mult(rd(esk4_0,esk4_0),esk3_0) != esk3_0 ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_267])])])]) ).
cnf(c_0_274,plain,
mult(mult(mult(X1,X2),X2),mult(X2,rd(X3,mult(X2,mult(X2,mult(X2,X3)))))) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_268]) ).
cnf(c_0_275,plain,
rd(X1,mult(X2,mult(rd(X2,X2),mult(rd(X3,mult(mult(X2,X2),X3)),X1)))) = X2,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).
cnf(c_0_276,plain,
mult(rd(X1,mult(mult(X2,X2),X1)),X2) = mult(X2,rd(X1,mult(mult(X2,X2),X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_272]),c_0_18]) ).
cnf(c_0_277,plain,
mult(mult(X1,rd(X2,mult(mult(X1,X1),X2))),X3) = mult(X1,mult(X1,mult(X1,mult(rd(X2,mult(mult(X1,X1),X2)),mult(rd(X2,mult(mult(X1,X1),X2)),X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_265,c_0_218]),c_0_266]) ).
cnf(c_0_278,plain,
mult(X1,mult(X1,mult(X1,mult(X1,mult(rd(X2,mult(mult(X1,X1),X2)),mult(rd(X2,mult(mult(X1,X1),X2)),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_261,c_0_100]),c_0_13]),c_0_108]),c_0_108]),c_0_105]),c_0_68]),c_0_264]),c_0_265]),c_0_218]),c_0_266]),c_0_218]) ).
cnf(c_0_279,negated_conjecture,
( mult(rd(esk4_0,esk4_0),esk3_0) != esk3_0
| mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_273]) ).
cnf(c_0_280,plain,
mult(mult(mult(X1,X2),X2),rd(X3,mult(mult(X2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_188]),c_0_13]),c_0_266]),c_0_13]),c_0_108]),c_0_275]),c_0_12]),c_0_171]),c_0_276]),c_0_277]),c_0_278]) ).
cnf(c_0_281,negated_conjecture,
( mult(rd(esk4_0,X1),mult(rd(X1,mult(rd(esk4_0,X1),esk4_0)),mult(rd(esk4_0,X1),esk3_0))) != esk3_0
| mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0 ),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_279,c_0_112]),c_0_9]) ).
cnf(c_0_282,plain,
mult(rd(X1,X1),rd(X2,rd(X1,X1))) = mult(mult(rd(X1,X1),X2),rd(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_121]),c_0_183]),c_0_121]) ).
cnf(c_0_283,plain,
mult(mult(X1,X2),rd(X3,mult(mult(X2,X2),X3))) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_280,c_0_12]) ).
cnf(c_0_284,plain,
mult(mult(X1,X1),mult(rd(X2,mult(X1,X2)),rd(X3,mult(X1,X3)))) = mult(X1,rd(X3,mult(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_221,c_0_117]),c_0_13]),c_0_15]),c_0_13]),c_0_15]),c_0_20]) ).
cnf(c_0_285,negated_conjecture,
( mult(mult(esk4_0,esk4_0),mult(rd(X1,mult(esk4_0,X1)),mult(rd(esk4_0,mult(esk4_0,esk4_0)),esk3_0))) != esk3_0
| mult(esk1_0,rd(esk2_0,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(pm,[status(thm)],[c_0_281,c_0_160]),c_0_13]),c_0_20]),c_0_19]),c_0_12]),c_0_108]),c_0_12]),c_0_142]),c_0_143]) ).
cnf(c_0_286,plain,
mult(mult(rd(X1,X2),mult(X2,rd(X2,X1))),rd(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_32]),c_0_247]),c_0_183]),c_0_248]) ).
cnf(c_0_287,plain,
rd(X1,rd(X2,X2)) = mult(rd(X2,X2),mult(mult(rd(X2,X2),X1),rd(X2,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_282]),c_0_227]) ).
cnf(c_0_288,plain,
mult(X1,rd(X2,mult(mult(X3,X3),X2))) = rd(rd(X1,X3),X3),
inference(spm,[status(thm)],[c_0_283,c_0_12]) ).
cnf(c_0_289,plain,
mult(mult(rd(X1,mult(X1,X1)),rd(X1,mult(X1,X1))),mult(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_193]),c_0_197]),c_0_223]),c_0_197]),c_0_223]),c_0_284]),c_0_141]) ).
cnf(c_0_290,negated_conjecture,
( mult(esk4_0,mult(mult(esk4_0,esk4_0),mult(rd(rd(X1,mult(mult(esk4_0,esk4_0),X1)),esk4_0),esk3_0))) != esk3_0
| mult(esk1_0,rd(esk2_0,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(pm,[status(thm)],[c_0_285,c_0_226]),c_0_13]),c_0_171]),c_0_9]),c_0_20]),c_0_134]) ).
cnf(c_0_291,plain,
mult(mult(X1,mult(X2,rd(X3,mult(X1,X3)))),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(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_286,c_0_234]),c_0_13]),c_0_124]),c_0_153]),c_0_13]),c_0_124]),c_0_153]) ).
cnf(c_0_292,plain,
mult(mult(X1,rd(X2,mult(X1,rd(X3,X3)))),X1) = mult(rd(X3,X3),mult(mult(rd(X3,X3),mult(X1,X2)),rd(X3,X3))),
inference(spm,[status(thm)],[c_0_13,c_0_287]) ).
cnf(c_0_293,plain,
rd(rd(X1,X2),X2) = mult(X1,mult(rd(X2,mult(X2,X2)),rd(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_288,c_0_171]),c_0_13]),c_0_19]),c_0_223]),c_0_86]),c_0_194]),c_0_289]),c_0_195]),c_0_223]) ).
cnf(c_0_294,negated_conjecture,
( mult(esk4_0,mult(mult(esk4_0,esk4_0),mult(rd(rd(rd(X1,mult(mult(esk4_0,esk4_0),X1)),rd(esk4_0,esk4_0)),esk4_0),esk3_0))) != esk3_0
| mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_290,c_0_232]),c_0_13]),c_0_223]),c_0_20]),c_0_184]) ).
cnf(c_0_295,plain,
mult(rd(X1,X1),mult(rd(X1,mult(X1,X1)),rd(X1,mult(X1,X1)))) = mult(rd(X1,mult(X1,X1)),rd(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(spm,[status(thm)],[c_0_68,c_0_179]),c_0_211]),c_0_18]),c_0_160]),c_0_211]),c_0_18]),c_0_160]) ).
cnf(c_0_296,plain,
mult(mult(rd(X1,X2),mult(X2,mult(rd(X1,X2),X1))),X3) = mult(X1,mult(rd(X1,X2),mult(X1,X3))),
inference(spm,[status(thm)],[c_0_9,c_0_19]) ).
cnf(c_0_297,plain,
rd(X1,mult(rd(X2,mult(X3,X2)),rd(X4,X4))) = mult(mult(X3,mult(rd(X4,X4),mult(mult(rd(X4,X4),mult(rd(X2,mult(X3,X2)),X1)),rd(X4,X4)))),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_20]) ).
cnf(c_0_298,plain,
rd(rd(X1,X2),X3) = mult(mult(mult(X1,mult(rd(X2,mult(X2,X2)),rd(X2,mult(X2,X2)))),rd(X2,mult(mult(X1,mult(rd(X2,mult(X2,X2)),rd(X2,mult(X2,X2)))),X3))),mult(X1,mult(rd(X2,mult(X2,X2)),rd(X2,mult(X2,X2))))),
inference(spm,[status(thm)],[c_0_112,c_0_293]) ).
cnf(c_0_299,plain,
rd(X1,mult(rd(X2,mult(X3,X2)),rd(X3,X3))) = mult(mult(rd(X2,mult(X3,X2)),rd(X3,X3)),mult(mult(X3,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_245,c_0_116]),c_0_13]),c_0_26]),c_0_13]),c_0_208]),c_0_220]),c_0_124]),c_0_113]),c_0_20]),c_0_20]),c_0_13]),c_0_26]),c_0_13]),c_0_208]),c_0_220]),c_0_124]),c_0_113]),c_0_20]),c_0_20]) ).
cnf(c_0_300,negated_conjecture,
( mult(esk4_0,mult(mult(esk4_0,esk4_0),mult(mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),rd(esk4_0,esk4_0))))),rd(esk4_0,mult(esk4_0,esk4_0)))),mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(rd(rd(esk4_0,mult(esk4_0,esk4_0)),mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),rd(esk4_0,esk4_0))))),rd(esk4_0,mult(esk4_0,esk4_0)))),esk4_0))),mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),rd(esk4_0,esk4_0))))),rd(esk4_0,mult(esk4_0,esk4_0)))),esk3_0))))))) != esk3_0
| mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_119]),c_0_223]),c_0_295]),c_0_13]),c_0_211]),c_0_13]),c_0_13]),c_0_19]),c_0_9]),c_0_296]) ).
cnf(c_0_301,plain,
rd(rd(X1,mult(X2,X1)),X3) = mult(mult(mult(rd(X2,mult(X2,X2)),rd(X2,mult(X2,X2))),rd(X2,mult(mult(rd(X2,mult(X2,X2)),rd(X2,mult(X2,X2))),X3))),mult(rd(X2,mult(X2,X2)),rd(X2,mult(X2,X2)))),
inference(spm,[status(thm)],[c_0_112,c_0_228]) ).
cnf(c_0_302,plain,
rd(X1,mult(rd(X2,X2),rd(X3,X3))) = mult(mult(rd(X2,X2),mult(rd(X3,X3),mult(mult(rd(X3,X3),mult(rd(X2,X2),X1)),rd(X3,X3)))),rd(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_121]),c_0_298]),c_0_20]),c_0_20]),c_0_299]),c_0_52]),c_0_254]),c_0_18]),c_0_20]),c_0_141]),c_0_298]),c_0_20]),c_0_20]),c_0_299]),c_0_52]),c_0_254]),c_0_18]),c_0_20]),c_0_141]) ).
cnf(c_0_303,plain,
mult(mult(rd(X1,X2),mult(X3,rd(X2,X1))),rd(X1,X2)) = mult(rd(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_286,c_0_227]),c_0_13]),c_0_15]),c_0_13]),c_0_15]) ).
cnf(c_0_304,negated_conjecture,
( mult(esk4_0,mult(mult(esk4_0,esk4_0),mult(mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),rd(esk4_0,esk4_0))))),rd(esk4_0,mult(esk4_0,esk4_0)))),mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),rd(esk4_0,esk4_0))))),rd(esk4_0,mult(esk4_0,esk4_0)))),esk4_0)))),mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),rd(esk4_0,esk4_0))))),rd(esk4_0,mult(esk4_0,esk4_0)))),esk3_0))))))))) != esk3_0
| mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_301]),c_0_134]),c_0_9]),c_0_134]) ).
cnf(c_0_305,plain,
mult(X1,mult(X1,mult(X1,rd(X2,mult(mult(X1,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_143,c_0_190]),c_0_18]),c_0_221]),c_0_18]),c_0_134]),c_0_221]) ).
cnf(c_0_306,plain,
mult(mult(rd(X1,X2),rd(X1,X2)),rd(X2,X1)) = mult(rd(X1,X2),mult(rd(X1,X2),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_189,c_0_26]),c_0_13]),c_0_15]),c_0_13]),c_0_15]) ).
cnf(c_0_307,plain,
mult(rd(X1,X1),rd(X2,X2)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_302]),c_0_26]),c_0_121]),c_0_121]),c_0_121]),c_0_18]),c_0_227]) ).
cnf(c_0_308,plain,
mult(mult(rd(X1,mult(X2,X1)),mult(X3,X2)),rd(X4,mult(X2,X4))) = mult(rd(X1,mult(X2,X1)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_303,c_0_234]),c_0_13]),c_0_15]) ).
cnf(c_0_309,negated_conjecture,
( mult(rd(esk4_0,esk4_0),mult(rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),rd(esk4_0,esk4_0))))),rd(esk4_0,mult(esk4_0,esk4_0)))),esk4_0)))),mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),rd(esk4_0,esk4_0))))),rd(esk4_0,mult(esk4_0,esk4_0)))),esk3_0))))) != esk3_0
| mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_304,c_0_242]),c_0_18]),c_0_264]),c_0_250]),c_0_184]),c_0_179]),c_0_134]),c_0_52]),c_0_266]),c_0_266]),c_0_220]),c_0_221]),c_0_305]),c_0_289]),c_0_100]),c_0_20]),c_0_271]) ).
cnf(c_0_310,plain,
mult(mult(X1,X1),mult(rd(X2,mult(X1,X2)),mult(rd(X1,X1),X3))) = mult(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_100]),c_0_18]) ).
cnf(c_0_311,plain,
mult(mult(X1,X1),mult(rd(X2,mult(X1,X2)),rd(X1,X1))) = mult(X1,rd(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_116]),c_0_13]),c_0_26]),c_0_13]),c_0_15]),c_0_62]),c_0_13]),c_0_26]),c_0_13]),c_0_15]),c_0_62]),c_0_20]) ).
cnf(c_0_312,plain,
rd(rd(X1,X1),rd(X1,mult(X1,mult(X1,X1)))) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_202]),c_0_169]) ).
cnf(c_0_313,plain,
mult(mult(rd(X1,mult(X2,X1)),rd(X3,mult(X2,X3))),X2) = mult(rd(X3,mult(X2,X3)),mult(rd(X3,mult(X2,X3)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_306,c_0_24]),c_0_13]),c_0_15]),c_0_13]),c_0_15]) ).
cnf(c_0_314,plain,
mult(mult(rd(X1,mult(X2,X1)),rd(X1,mult(X2,X1))),mult(X2,X2)) = 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(spm,[status(thm)],[c_0_221,c_0_123]),c_0_13]),c_0_15]),c_0_13]),c_0_15]),c_0_18]) ).
cnf(c_0_315,plain,
rd(X1,X1) = rd(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_253,c_0_307]),c_0_298]),c_0_20]),c_0_20]),c_0_297]),c_0_178]),c_0_307]),c_0_121]),c_0_121]),c_0_20]),c_0_308]),c_0_18]),c_0_121]),c_0_121]),c_0_121]),c_0_307]),c_0_298]),c_0_20]),c_0_20]),c_0_297]),c_0_178]),c_0_307]),c_0_121]),c_0_121]),c_0_20]),c_0_308]),c_0_18]),c_0_307]) ).
cnf(c_0_316,negated_conjecture,
( mult(rd(esk4_0,esk4_0),mult(rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),rd(esk4_0,esk4_0))))),rd(esk4_0,mult(esk4_0,esk4_0)))),esk4_0)))),mult(rd(esk4_0,mult(esk4_0,esk4_0)),mult(mult(rd(esk4_0,mult(esk4_0,esk4_0)),rd(esk4_0,mult(esk4_0,esk4_0))),mult(rd(esk4_0,esk4_0),esk3_0))))) != esk3_0
| mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_309,c_0_242]),c_0_18]),c_0_264]),c_0_250]),c_0_184]),c_0_179]),c_0_134]),c_0_52]),c_0_266]),c_0_266]),c_0_220]),c_0_221]),c_0_305]),c_0_289]) ).
cnf(c_0_317,plain,
mult(X1,rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_307]),c_0_311]),c_0_171]) ).
cnf(c_0_318,plain,
mult(mult(rd(X1,mult(X1,X1)),rd(X1,mult(rd(X1,mult(X1,X1)),mult(rd(X1,mult(X1,X1)),rd(X1,mult(X1,X1)))))),rd(X1,mult(X1,X1))) = mult(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_223]),c_0_211]) ).
cnf(c_0_319,plain,
mult(mult(rd(X1,mult(X2,X1)),rd(X3,mult(X2,X3))),X2) = rd(X3,mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_220]),c_0_18]) ).
cnf(c_0_320,plain,
rd(X1,mult(rd(X1,mult(X1,X1)),rd(X1,mult(X1,X1)))) = mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_171]),c_0_13]),c_0_19]),c_0_223]),c_0_86]),c_0_147]),c_0_12]),c_0_314]),c_0_178]),c_0_211]),c_0_18]),c_0_160]) ).
cnf(c_0_321,plain,
mult(rd(X1,X1),X2) = X2,
inference(pm,[status(thm)],[c_0_12,c_0_315]) ).
cnf(c_0_322,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_317]),c_0_318]),c_0_289]),c_0_12]),c_0_319]),c_0_320]),c_0_86]),c_0_20]),c_0_271]),c_0_26]),c_0_317])]),c_0_321])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP654+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 16:11:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/23.41 eprover: CPU time limit exceeded, terminating
% 0.38/23.41 eprover: CPU time limit exceeded, terminating
% 0.38/23.42 eprover: CPU time limit exceeded, terminating
% 0.38/23.42 eprover: CPU time limit exceeded, terminating
% 0.50/46.43 eprover: CPU time limit exceeded, terminating
% 0.50/46.44 eprover: CPU time limit exceeded, terminating
% 0.50/46.47 eprover: CPU time limit exceeded, terminating
% 0.50/46.66 eprover: CPU time limit exceeded, terminating
% 0.65/69.45 eprover: CPU time limit exceeded, terminating
% 0.65/69.46 eprover: CPU time limit exceeded, terminating
% 0.65/69.49 eprover: CPU time limit exceeded, terminating
% 0.65/69.67 eprover: CPU time limit exceeded, terminating
% 0.80/92.49 eprover: CPU time limit exceeded, terminating
% 0.80/92.68 eprover: CPU time limit exceeded, terminating
% 0.80/92.70 eprover: CPU time limit exceeded, terminating
% 0.80/92.75 eprover: CPU time limit exceeded, terminating
% 0.95/115.51 eprover: CPU time limit exceeded, terminating
% 0.95/115.70 eprover: CPU time limit exceeded, terminating
% 0.95/115.71 eprover: CPU time limit exceeded, terminating
% 0.95/115.77 eprover: CPU time limit exceeded, terminating
% 0.99/123.19 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.99/123.19
% 0.99/123.19 # Failure: Resource limit exceeded (time)
% 0.99/123.19 # OLD status Res
% 0.99/123.19 # Preprocessing time : 0.013 s
% 0.99/123.19 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.99/123.19
% 0.99/123.19 # Failure: Resource limit exceeded (time)
% 0.99/123.19 # OLD status Res
% 0.99/123.19 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.99/123.19 # Preprocessing time : 0.007 s
% 0.99/123.19 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.99/123.19
% 0.99/123.19 # Failure: Resource limit exceeded (time)
% 0.99/123.19 # OLD status Res
% 0.99/123.19 # Preprocessing time : 0.013 s
% 0.99/123.19 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 0.99/123.19
% 0.99/123.19 # Failure: Resource limit exceeded (time)
% 0.99/123.19 # OLD status Res
% 0.99/123.19 # Preprocessing time : 0.007 s
% 0.99/123.19 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 0.99/123.19
% 0.99/123.19 # Failure: Resource limit exceeded (time)
% 0.99/123.19 # OLD status Res
% 0.99/123.19 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 0.99/123.19 # Preprocessing time : 0.007 s
% 0.99/123.19 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 0.99/123.19 # Preprocessing time : 0.007 s
% 0.99/123.19
% 0.99/123.19 # Proof found!
% 0.99/123.19 # SZS status Theorem
% 0.99/123.19 # SZS output start CNFRefutation
% See solution above
% 0.99/123.19 # Proof object total steps : 323
% 0.99/123.19 # Proof object clause steps : 310
% 0.99/123.19 # Proof object formula steps : 13
% 0.99/123.19 # Proof object conjectures : 13
% 0.99/123.19 # Proof object clause conjectures : 10
% 0.99/123.19 # Proof object formula conjectures : 3
% 0.99/123.19 # Proof object initial clauses used : 6
% 0.99/123.19 # Proof object initial formulas used : 6
% 0.99/123.19 # Proof object generating inferences : 277
% 0.99/123.19 # Proof object simplifying inferences : 811
% 0.99/123.19 # Training examples: 0 positive, 0 negative
% 0.99/123.19 # Parsed axioms : 6
% 0.99/123.19 # Removed by relevancy pruning/SinE : 0
% 0.99/123.19 # Initial clauses : 6
% 0.99/123.19 # Removed in clause preprocessing : 0
% 0.99/123.19 # Initial clauses in saturation : 6
% 0.99/123.19 # Processed clauses : 6998
% 0.99/123.19 # ...of these trivial : 1553
% 0.99/123.19 # ...subsumed : 4351
% 0.99/123.19 # ...remaining for further processing : 1093
% 0.99/123.19 # Other redundant clauses eliminated : 0
% 0.99/123.19 # Clauses deleted for lack of memory : 56032
% 0.99/123.19 # Backward-subsumed : 11
% 0.99/123.19 # Backward-rewritten : 884
% 0.99/123.19 # Generated clauses : 271599
% 0.99/123.19 # ...of the previous two non-trivial : 233648
% 0.99/123.19 # Contextual simplify-reflections : 0
% 0.99/123.19 # Paramodulations : 271599
% 0.99/123.19 # Factorizations : 0
% 0.99/123.19 # Equation resolutions : 0
% 0.99/123.19 # Current number of processed clauses : 198
% 0.99/123.19 # Positive orientable unit clauses : 185
% 0.99/123.19 # Positive unorientable unit clauses: 13
% 0.99/123.19 # Negative unit clauses : 0
% 0.99/123.19 # Non-unit-clauses : 0
% 0.99/123.19 # Current number of unprocessed clauses: 24627
% 0.99/123.19 # ...number of literals in the above : 24649
% 0.99/123.19 # Current number of archived formulas : 0
% 0.99/123.19 # Current number of archived clauses : 895
% 0.99/123.19 # Clause-clause subsumption calls (NU) : 76030
% 0.99/123.19 # Rec. Clause-clause subsumption calls : 76030
% 0.99/123.19 # Non-unit clause-clause subsumptions : 998
% 0.99/123.19 # Unit Clause-clause subsumption calls : 1702
% 0.99/123.19 # Rewrite failures with RHS unbound : 4404
% 0.99/123.19 # BW rewrite match attempts : 34228
% 0.99/123.19 # BW rewrite match successes : 1440
% 0.99/123.19 # Condensation attempts : 0
% 0.99/123.19 # Condensation successes : 0
% 0.99/123.19 # Termbank termtop insertions : 17244753
% 0.99/123.19
% 0.99/123.19 # -------------------------------------------------
% 0.99/123.19 # User time : 6.852 s
% 0.99/123.19 # System time : 0.135 s
% 0.99/123.19 # Total time : 6.987 s
% 0.99/123.19 # Maximum resident set size: 159884 pages
% 0.99/138.58 eprover: CPU time limit exceeded, terminating
% 0.99/138.71 eprover: CPU time limit exceeded, terminating
% 0.99/138.73 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.73 eprover: No such file or directory
% 0.99/138.74 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.74 eprover: No such file or directory
% 0.99/138.74 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.74 eprover: No such file or directory
% 0.99/138.75 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.75 eprover: No such file or directory
% 0.99/138.76 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.76 eprover: No such file or directory
% 0.99/138.76 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.76 eprover: No such file or directory
% 0.99/138.79 eprover: CPU time limit exceeded, terminating
% 0.99/138.81 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.81 eprover: No such file or directory
% 0.99/138.81 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/138.81 eprover: No such file or directory
% 0.99/138.82 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.82 eprover: No such file or directory
% 0.99/138.82 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/138.82 eprover: No such file or directory
% 0.99/138.83 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/138.83 eprover: No such file or directory
% 0.99/138.83 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.83 eprover: No such file or directory
% 0.99/138.83 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/138.83 eprover: No such file or directory
% 0.99/138.83 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.83 eprover: No such file or directory
% 0.99/138.84 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/138.84 eprover: No such file or directory
% 0.99/138.84 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.84 eprover: No such file or directory
% 0.99/138.84 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.99/138.84 eprover: No such file or directory
% 0.99/138.84 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.99/138.84 eprover: No such file or directory
%------------------------------------------------------------------------------