TSTP Solution File: GRP655+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP655+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 09:03:05 EDT 2022
% Result : Theorem 0.49s 35.68s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 6
% Syntax : Number of formulae : 202 ( 198 unt; 0 def)
% Number of atoms : 206 ( 205 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 2 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 447 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f05,axiom,
! [X3,X1,X2] : mult(X2,mult(X1,mult(X3,X1))) = mult(mult(mult(X2,X1),X3),X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f05) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f03) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f02) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f01) ).
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f04) ).
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.mepo_128.in',goals) ).
fof(c_0_6,plain,
! [X4,X5,X6] : mult(X6,mult(X5,mult(X4,X5))) = mult(mult(mult(X6,X5),X4),X5),
inference(variable_rename,[status(thm)],[f05]) ).
fof(c_0_7,plain,
! [X3,X4] : mult(rd(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f03]) ).
fof(c_0_8,plain,
! [X3,X4] : ld(X4,mult(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_9,plain,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
mult(rd(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_13,plain,
! [X3,X4] : mult(X4,ld(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[f01]) ).
cnf(c_0_14,plain,
ld(rd(X1,X2),mult(mult(X1,X3),X2)) = mult(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
ld(rd(X1,X2),mult(X3,X2)) = mult(X2,mult(ld(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_17,plain,
! [X3,X4] : rd(mult(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f04]) ).
cnf(c_0_18,plain,
mult(X1,mult(ld(X2,rd(X2,X1)),X1)) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_19,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_21,plain,
mult(ld(X1,rd(X1,X2)),X2) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_11,c_0_18]) ).
cnf(c_0_22,plain,
rd(mult(X1,mult(X2,mult(X3,X2))),X2) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_19,c_0_9]) ).
cnf(c_0_23,plain,
mult(X1,mult(ld(mult(X2,X1),X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_24,plain,
mult(mult(X1,ld(X2,rd(X2,X3))),X3) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_15]),c_0_10]) ).
cnf(c_0_25,plain,
rd(mult(X1,mult(X2,X3)),X2) = mult(mult(X1,X2),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_10]) ).
cnf(c_0_26,plain,
mult(ld(mult(X1,X2),X1),X2) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_11,c_0_23]) ).
cnf(c_0_27,plain,
mult(X1,ld(X2,rd(X2,X3))) = rd(X1,X3),
inference(spm,[status(thm)],[c_0_19,c_0_24]) ).
cnf(c_0_28,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_29,plain,
rd(mult(mult(X1,X2),X3),mult(X3,mult(X2,X3))) = rd(X1,X3),
inference(spm,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_30,plain,
mult(mult(X1,X2),rd(ld(X2,X3),X2)) = rd(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_31,plain,
ld(ld(mult(X1,X2),X1),ld(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_26]) ).
cnf(c_0_32,plain,
mult(X1,ld(mult(X2,X3),X2)) = rd(X1,X3),
inference(spm,[status(thm)],[c_0_27,c_0_19]) ).
cnf(c_0_33,plain,
rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
rd(mult(X1,X2),mult(X2,mult(X3,X2))) = rd(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_29,c_0_10]) ).
cnf(c_0_35,plain,
mult(mult(X1,ld(X2,X2)),X2) = mult(rd(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]),c_0_11]),c_0_33]),c_0_11]) ).
cnf(c_0_36,plain,
rd(rd(rd(X1,X2),X3),X2) = rd(X1,mult(X2,mult(X3,X2))),
inference(spm,[status(thm)],[c_0_34,c_0_10]) ).
cnf(c_0_37,plain,
mult(X1,ld(X2,X2)) = mult(X1,rd(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_35]),c_0_25]),c_0_10]) ).
cnf(c_0_38,plain,
mult(X1,mult(ld(X1,X2),mult(X3,ld(X1,X2)))) = mult(mult(X2,X3),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_39,plain,
mult(rd(X1,mult(X2,mult(X3,X2))),X2) = rd(rd(X1,X2),X3),
inference(spm,[status(thm)],[c_0_10,c_0_36]) ).
cnf(c_0_40,plain,
ld(X1,X1) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_37]),c_0_11]) ).
cnf(c_0_41,plain,
mult(mult(X1,X2),ld(X2,X1)) = mult(X2,mult(ld(X2,X1),X1)),
inference(spm,[status(thm)],[c_0_38,c_0_15]) ).
cnf(c_0_42,plain,
rd(rd(X1,X2),rd(X3,X2)) = mult(rd(X1,mult(X2,X3)),X2),
inference(spm,[status(thm)],[c_0_39,c_0_10]) ).
cnf(c_0_43,plain,
rd(X1,rd(X2,X2)) = mult(X1,rd(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_40]),c_0_40]) ).
cnf(c_0_44,plain,
mult(mult(X1,X1),rd(X1,X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_40]),c_0_10]) ).
cnf(c_0_45,plain,
mult(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_40]) ).
cnf(c_0_46,plain,
rd(rd(X1,rd(X2,X3)),X3) = rd(mult(X1,X3),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_10]) ).
cnf(c_0_47,plain,
mult(rd(X1,X2),rd(X2,X2)) = mult(rd(X1,mult(X2,X2)),X2),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
rd(ld(X1,X1),X1) = ld(X2,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_49,plain,
rd(mult(X1,X1),mult(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_44]),c_0_40]) ).
cnf(c_0_50,plain,
rd(mult(X1,X2),mult(X2,X2)) = mult(rd(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_45]),c_0_10]),c_0_46]),c_0_47]) ).
cnf(c_0_51,plain,
mult(rd(mult(X1,X2),mult(X2,X3)),X2) = rd(X1,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_10,c_0_46]) ).
cnf(c_0_52,plain,
mult(X1,rd(ld(X2,X2),X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_15,c_0_48]) ).
cnf(c_0_53,plain,
mult(rd(X1,mult(X1,X1)),X1) = rd(X1,X1),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
rd(X1,rd(ld(X2,X3),X2)) = mult(rd(mult(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_51,c_0_15]) ).
cnf(c_0_55,plain,
mult(X1,rd(rd(X2,X2),X2)) = rd(X1,X2),
inference(rw,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_56,plain,
rd(rd(X1,X1),X1) = rd(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_53]) ).
cnf(c_0_57,plain,
ld(mult(rd(mult(X1,X2),X3),X2),X1) = rd(ld(X2,X3),X2),
inference(spm,[status(thm)],[c_0_20,c_0_54]) ).
cnf(c_0_58,plain,
mult(X1,rd(X2,mult(X2,X2))) = rd(X1,X2),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
mult(ld(ld(mult(X1,X2),X1),X3),X2) = mult(X2,mult(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_32]),c_0_32]),c_0_36]),c_0_20]),c_0_33]),c_0_11]) ).
cnf(c_0_60,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(rd(X1,X3),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_61,plain,
rd(rd(X1,X1),X1) = ld(X2,rd(X2,X1)),
inference(rw,[status(thm)],[c_0_48,c_0_40]) ).
cnf(c_0_62,plain,
mult(rd(X1,mult(X1,X1)),rd(X2,X1)) = rd(ld(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_58]),c_0_58]),c_0_20]) ).
cnf(c_0_63,plain,
mult(rd(X1,X2),mult(X2,X2)) = mult(mult(X1,X2),rd(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_45]),c_0_10]),c_0_43]),c_0_60]) ).
cnf(c_0_64,plain,
rd(X1,mult(X1,X1)) = ld(X2,rd(X2,X1)),
inference(rw,[status(thm)],[c_0_61,c_0_56]) ).
cnf(c_0_65,plain,
rd(ld(X1,mult(X2,X1)),X1) = mult(rd(X1,mult(X1,X1)),X2),
inference(spm,[status(thm)],[c_0_62,c_0_19]) ).
cnf(c_0_66,plain,
mult(mult(mult(X1,X2),X2),rd(X2,X2)) = mult(X1,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_63,c_0_19]) ).
cnf(c_0_67,plain,
rd(ld(X1,X1),X1) = ld(mult(X2,X1),X2),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_68,plain,
ld(ld(X1,rd(X1,X2)),X2) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_20,c_0_64]) ).
cnf(c_0_69,plain,
rd(X1,rd(rd(X2,X2),X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_40]),c_0_19]) ).
cnf(c_0_70,plain,
rd(rd(X1,mult(X2,mult(X3,X2))),X3) = rd(rd(X1,X2),mult(X3,mult(X2,X3))),
inference(spm,[status(thm)],[c_0_36,c_0_36]) ).
cnf(c_0_71,plain,
mult(mult(rd(X1,mult(X1,X1)),X2),X1) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_65]) ).
cnf(c_0_72,plain,
mult(mult(X1,mult(X2,X2)),X2) = mult(mult(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_66]),c_0_19]) ).
cnf(c_0_73,plain,
rd(rd(X1,X1),X1) = ld(mult(X2,X1),X2),
inference(rw,[status(thm)],[c_0_67,c_0_40]) ).
cnf(c_0_74,plain,
ld(ld(mult(X1,X2),X1),X2) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_68,c_0_19]) ).
cnf(c_0_75,plain,
rd(X1,rd(X2,mult(X2,X2))) = mult(X1,X2),
inference(rw,[status(thm)],[c_0_69,c_0_56]) ).
cnf(c_0_76,plain,
rd(mult(X1,rd(X2,X2)),mult(X2,X2)) = rd(rd(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_45]),c_0_10]),c_0_10]),c_0_43]) ).
cnf(c_0_77,plain,
rd(rd(X1,mult(X1,X1)),X1) = rd(X1,mult(X1,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_36,c_0_56]) ).
cnf(c_0_78,plain,
mult(mult(mult(X1,X2),X1),mult(X1,X1)) = mult(X1,mult(mult(X2,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_71,c_0_12]),c_0_72]),c_0_9]),c_0_72]),c_0_11]) ).
cnf(c_0_79,plain,
mult(X1,mult(ld(X2,rd(X3,X1)),X1)) = ld(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_16,c_0_10]) ).
cnf(c_0_80,plain,
ld(X1,rd(X1,X2)) = ld(X3,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_27]) ).
cnf(c_0_81,plain,
rd(X1,mult(X1,X1)) = ld(mult(X2,X1),X2),
inference(rw,[status(thm)],[c_0_73,c_0_56]) ).
cnf(c_0_82,plain,
ld(X1,ld(mult(X2,X1),X2)) = rd(ld(mult(X2,X1),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_32]),c_0_20]),c_0_32]) ).
cnf(c_0_83,plain,
mult(ld(rd(X1,mult(X1,X1)),X2),X1) = mult(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_58]),c_0_36]),c_0_20]),c_0_75]) ).
cnf(c_0_84,plain,
mult(mult(rd(X1,mult(X2,X3)),X2),rd(X3,X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_25,c_0_10]) ).
cnf(c_0_85,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(spm,[status(thm)],[c_0_76,c_0_53]),c_0_42]),c_0_53]),c_0_47]),c_0_53]),c_0_42]),c_0_53]),c_0_56]),c_0_77]) ).
cnf(c_0_86,plain,
rd(mult(X1,rd(X2,X2)),X2) = mult(rd(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_10]),c_0_42]) ).
cnf(c_0_87,plain,
rd(mult(X1,mult(mult(X2,X1),mult(X1,X1))),X1) = mult(mult(X1,X2),mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_78]),c_0_66]) ).
cnf(c_0_88,plain,
ld(rd(ld(mult(X1,X2),X1),X2),X3) = mult(X2,mult(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_59]),c_0_10]) ).
cnf(c_0_89,plain,
rd(ld(mult(X1,X2),X1),X2) = ld(X3,rd(X3,mult(X2,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_90,plain,
ld(rd(X1,mult(X1,X1)),X2) = rd(mult(X1,mult(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_19,c_0_83]) ).
cnf(c_0_91,plain,
rd(rd(X1,mult(X2,X2)),X2) = rd(rd(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_84]),c_0_19]) ).
cnf(c_0_92,plain,
rd(X1,rd(X2,mult(X2,mult(X2,X2)))) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_44]),c_0_19]),c_0_85]) ).
cnf(c_0_93,plain,
mult(rd(rd(X1,X2),mult(X2,X2)),X2) = rd(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_47]),c_0_19]) ).
cnf(c_0_94,plain,
rd(mult(X1,mult(X2,mult(X1,X1))),X1) = mult(mult(X1,rd(X2,X1)),mult(X1,X1)),
inference(spm,[status(thm)],[c_0_87,c_0_10]) ).
cnf(c_0_95,plain,
mult(ld(ld(X1,rd(X1,X2)),X3),X2) = mult(X2,mult(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_27]),c_0_27]),c_0_36]),c_0_20]),c_0_33]),c_0_20]) ).
cnf(c_0_96,plain,
ld(ld(X1,rd(X1,mult(X2,X2))),X3) = mult(X2,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_97,plain,
mult(rd(X1,mult(X1,mult(X1,X1))),mult(X1,X2)) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_58]),c_0_91]),c_0_85]),c_0_92]),c_0_10]),c_0_58]),c_0_75]),c_0_60]),c_0_91]),c_0_85]) ).
cnf(c_0_98,plain,
mult(mult(X1,mult(X2,mult(X3,X2))),X3) = mult(mult(X1,X2),mult(X3,mult(X2,X3))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_99,plain,
mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_44]),c_0_19]) ).
cnf(c_0_100,plain,
rd(mult(X1,mult(X2,mult(X1,X1))),mult(X1,X1)) = mult(rd(X1,X1),mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_19]),c_0_60]) ).
cnf(c_0_101,plain,
mult(mult(X1,mult(X1,X2)),mult(X1,X1)) = mult(mult(X1,X1),mult(X2,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,plain,
mult(rd(X1,mult(X1,mult(X1,X1))),X2) = ld(X1,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_97,c_0_15]) ).
cnf(c_0_103,plain,
rd(ld(X1,rd(X1,X2)),X2) = rd(X2,mult(X2,mult(X2,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_64]),c_0_85]) ).
cnf(c_0_104,plain,
mult(mult(X1,rd(X2,X2)),mult(X2,X2)) = mult(mult(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_45]),c_0_10]),c_0_10]) ).
cnf(c_0_105,plain,
mult(mult(X1,mult(X1,X1)),X1) = mult(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_99]),c_0_11]),c_0_11]) ).
cnf(c_0_106,plain,
mult(rd(X1,X1),mult(X1,mult(X1,mult(X1,X2)))) = mult(mult(X1,mult(X1,X1)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_25]),c_0_19]) ).
cnf(c_0_107,plain,
mult(rd(ld(X1,rd(X1,X2)),X2),X3) = ld(X2,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
rd(X1,rd(ld(mult(X2,X3),X2),X3)) = mult(X1,mult(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_82]),c_0_74]) ).
cnf(c_0_109,plain,
mult(mult(X1,X1),mult(X1,X1)) = mult(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_44]),c_0_99]),c_0_105]) ).
cnf(c_0_110,plain,
mult(rd(ld(X1,X2),mult(X1,X2)),X1) = rd(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_62]),c_0_42]) ).
cnf(c_0_111,plain,
rd(mult(mult(X1,mult(X1,X1)),X2),X1) = mult(X1,mult(mult(X1,X1),rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_106]),c_0_10]),c_0_25]) ).
cnf(c_0_112,plain,
mult(mult(X1,X2),rd(rd(X3,mult(X3,X3)),X2)) = rd(mult(X1,rd(X2,X3)),X2),
inference(spm,[status(thm)],[c_0_25,c_0_58]) ).
cnf(c_0_113,plain,
mult(mult(X1,mult(X1,mult(X1,X1))),X2) = mult(X1,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_107,c_0_108]),c_0_11]),c_0_108]),c_0_109]),c_0_88]),c_0_88]) ).
cnf(c_0_114,plain,
mult(rd(X1,mult(X2,mult(X2,X1))),X2) = rd(X2,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_110,c_0_11]) ).
cnf(c_0_115,plain,
rd(rd(mult(X1,mult(X1,X1)),X2),X1) = mult(X1,rd(mult(X1,rd(X1,X2)),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_58]),c_0_112]) ).
cnf(c_0_116,plain,
rd(mult(X1,mult(X1,mult(X1,X1))),X2) = mult(X1,mult(X1,mult(X1,rd(X1,X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_113]),c_0_58]) ).
cnf(c_0_117,plain,
ld(ld(X1,rd(X1,X2)),X3) = rd(mult(X2,mult(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_90,c_0_64]) ).
cnf(c_0_118,plain,
mult(rd(X1,mult(X2,mult(X2,X1))),mult(X2,X2)) = rd(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_114]),c_0_84]) ).
cnf(c_0_119,plain,
mult(X1,rd(mult(X1,rd(X1,rd(X2,X1))),X1)) = mult(X1,mult(X1,mult(X1,rd(X1,mult(X1,X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_115]),c_0_72]),c_0_109]),c_0_116]) ).
cnf(c_0_120,plain,
mult(X1,mult(X1,rd(X2,mult(X1,mult(X1,X2))))) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_96]),c_0_44]),c_0_49]) ).
cnf(c_0_121,plain,
rd(mult(X1,rd(X1,rd(X2,X1))),X1) = mult(X1,mult(X1,rd(X1,mult(X1,X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_119]),c_0_11]) ).
cnf(c_0_122,plain,
ld(X1,ld(rd(X2,X1),X3)) = mult(ld(X2,rd(X3,X1)),X1),
inference(spm,[status(thm)],[c_0_11,c_0_79]) ).
cnf(c_0_123,plain,
mult(rd(X1,X1),mult(X1,rd(X2,mult(X1,X1)))) = rd(mult(X1,X2),mult(X1,X1)),
inference(spm,[status(thm)],[c_0_100,c_0_10]) ).
cnf(c_0_124,plain,
mult(X1,rd(X2,mult(X1,mult(X1,X2)))) = rd(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_120]),c_0_45]),c_0_10]) ).
cnf(c_0_125,plain,
mult(mult(X1,mult(X1,rd(X1,mult(X1,X2)))),X1) = mult(X1,rd(X1,rd(X2,X1))),
inference(spm,[status(thm)],[c_0_10,c_0_121]) ).
cnf(c_0_126,plain,
mult(ld(X1,rd(rd(X1,X2),X2)),X2) = ld(X2,mult(rd(X1,mult(X2,X1)),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_40]),c_0_42]) ).
cnf(c_0_127,plain,
ld(X1,rd(X1,mult(X1,X1))) = rd(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_75]),c_0_11]),c_0_58]),c_0_77]) ).
cnf(c_0_128,plain,
rd(rd(mult(X1,X2),X1),mult(X1,X1)) = mult(X1,rd(rd(X2,X1),mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_123]),c_0_91]),c_0_10]),c_0_91]) ).
cnf(c_0_129,plain,
rd(X1,rd(X2,mult(X3,mult(X3,X2)))) = mult(X1,mult(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_124]),c_0_20]) ).
cnf(c_0_130,plain,
mult(mult(X1,mult(X1,rd(X1,X2))),X1) = mult(X1,mult(rd(mult(X1,X1),X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_15]),c_0_54]) ).
cnf(c_0_131,plain,
mult(rd(X1,mult(X1,X1)),rd(X2,mult(X1,X2))) = ld(X2,rd(rd(X2,X1),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_126]),c_0_65]) ).
cnf(c_0_132,plain,
rd(X1,mult(X1,mult(X1,X1))) = ld(X2,rd(X2,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_80,c_0_127]) ).
cnf(c_0_133,plain,
mult(rd(X1,mult(X1,X1)),mult(X2,mult(X1,X1))) = mult(ld(X1,X2),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_62]),c_0_75]),c_0_10]),c_0_58]),c_0_91]),c_0_85]),c_0_129]),c_0_75]),c_0_10]),c_0_58]),c_0_91]),c_0_85]),c_0_129]) ).
cnf(c_0_134,plain,
ld(mult(rd(X1,mult(X2,X3)),X2),rd(X1,X2)) = rd(X3,X2),
inference(spm,[status(thm)],[c_0_20,c_0_42]) ).
cnf(c_0_135,plain,
mult(ld(X1,rd(X1,X2)),mult(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_10,c_0_64]) ).
cnf(c_0_136,plain,
mult(mult(X1,ld(X2,X3)),ld(X3,X2)) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_33]) ).
cnf(c_0_137,plain,
mult(X1,mult(X1,rd(X1,mult(X1,mult(X2,X1))))) = rd(mult(X1,rd(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_121,c_0_19]) ).
cnf(c_0_138,plain,
rd(X1,mult(X2,mult(rd(X3,mult(X3,X3)),X2))) = rd(mult(rd(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_36,c_0_75]) ).
cnf(c_0_139,plain,
mult(mult(X1,mult(X1,mult(X1,X2))),X1) = mult(X1,mult(X1,mult(X1,mult(X2,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_75]),c_0_75]),c_0_9]) ).
cnf(c_0_140,plain,
mult(rd(X1,X1),mult(ld(X1,X2),mult(X1,X1))) = mult(mult(rd(X1,mult(X1,X1)),X2),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_123,c_0_131]),c_0_42]),c_0_99]),c_0_118]),c_0_56]),c_0_132]),c_0_129]),c_0_133]),c_0_56]),c_0_132]),c_0_129]) ).
cnf(c_0_141,plain,
mult(rd(X1,X1),mult(rd(X1,X1),X2)) = ld(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_47]),c_0_134]),c_0_42]),c_0_53]) ).
cnf(c_0_142,plain,
mult(ld(rd(X1,X1),X2),rd(X1,X1)) = mult(rd(X1,X1),mult(X2,rd(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_44]),c_0_40]),c_0_50]),c_0_53]) ).
cnf(c_0_143,plain,
mult(mult(X1,mult(X2,X2)),rd(X2,X2)) = mult(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_135]),c_0_99]),c_0_27]),c_0_25]),c_0_19]),c_0_27]),c_0_19]),c_0_21]),c_0_40]) ).
cnf(c_0_144,plain,
mult(mult(X1,rd(X2,X2)),rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_40]),c_0_37]) ).
cnf(c_0_145,plain,
ld(rd(X1,X1),mult(X2,rd(X1,X1))) = mult(mult(rd(X1,X1),X2),rd(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_47]),c_0_53]),c_0_42]),c_0_53]) ).
cnf(c_0_146,plain,
mult(X1,mult(X1,rd(mult(rd(X1,X1),X2),X1))) = mult(mult(X1,X1),rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_75]),c_0_25]) ).
cnf(c_0_147,plain,
mult(rd(X1,X1),mult(ld(X1,mult(X2,X1)),X1)) = mult(mult(ld(X1,X2),X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]),c_0_142]),c_0_143]),c_0_71]),c_0_143]),c_0_141]),c_0_16]),c_0_12]),c_0_15]) ).
cnf(c_0_148,plain,
mult(rd(X1,X1),rd(X2,mult(rd(X1,X1),X2))) = rd(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_144,c_0_126]),c_0_145]),c_0_144]),c_0_43]),c_0_19]),c_0_40]) ).
cnf(c_0_149,plain,
mult(rd(X1,X1),mult(X1,mult(X1,rd(X1,X2)))) = rd(mult(X1,mult(X1,X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_58]),c_0_58]) ).
cnf(c_0_150,plain,
rd(mult(X1,mult(X1,X1)),mult(X1,mult(X2,X1))) = rd(rd(mult(X1,X1),X2),X1),
inference(spm,[status(thm)],[c_0_34,c_0_99]) ).
cnf(c_0_151,plain,
ld(mult(mult(X1,X2),X3),mult(X1,mult(X2,mult(X3,X2)))) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_152,plain,
mult(mult(X1,X1),ld(X1,mult(X2,X1))) = mult(X1,mult(X1,mult(ld(X1,X2),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_19]),c_0_19]) ).
cnf(c_0_153,plain,
rd(rd(X1,X1),rd(X1,mult(rd(X2,X2),X1))) = rd(X2,X2),
inference(spm,[status(thm)],[c_0_19,c_0_148]) ).
cnf(c_0_154,plain,
mult(rd(X1,X1),rd(mult(X1,rd(X1,X2)),X1)) = rd(rd(mult(X1,X1),X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_137]),c_0_150]) ).
cnf(c_0_155,plain,
mult(X1,ld(mult(X2,mult(X3,mult(X4,X3))),mult(mult(X2,X3),X4))) = rd(X1,X3),
inference(spm,[status(thm)],[c_0_33,c_0_151]) ).
cnf(c_0_156,plain,
mult(rd(ld(X1,X2),mult(X1,X2)),mult(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_110]),c_0_84]) ).
cnf(c_0_157,plain,
mult(X1,ld(rd(X1,X1),X2)) = mult(mult(X1,X1),ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_10]),c_0_79]) ).
cnf(c_0_158,plain,
ld(rd(X1,X1),rd(X2,X2)) = rd(X2,mult(rd(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_20,c_0_153]) ).
cnf(c_0_159,plain,
mult(rd(X1,X1),mult(mult(X1,X1),rd(X2,X1))) = rd(mult(mult(X1,X1),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_75]),c_0_25]),c_0_75]) ).
cnf(c_0_160,plain,
mult(X1,rd(ld(X2,X3),X2)) = rd(mult(rd(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_30,c_0_10]) ).
cnf(c_0_161,plain,
mult(X1,rd(ld(X2,X3),mult(X2,X3))) = rd(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_44]),c_0_11]) ).
cnf(c_0_162,plain,
mult(X1,rd(X2,mult(X3,mult(X3,X2)))) = rd(X1,mult(X3,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_118]),c_0_44]),c_0_11]) ).
cnf(c_0_163,plain,
mult(mult(X1,X1),ld(X1,rd(rd(X1,X1),X2))) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_27,c_0_157]) ).
cnf(c_0_164,plain,
rd(rd(X1,X1),mult(rd(X2,X2),rd(X1,X1))) = rd(X1,mult(rd(X2,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_43]),c_0_47]),c_0_53]),c_0_158]) ).
cnf(c_0_165,plain,
rd(mult(mult(X1,X1),ld(X1,X2)),X1) = mult(rd(X1,X1),rd(mult(X1,X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_19]) ).
cnf(c_0_166,plain,
rd(X1,mult(X1,mult(X1,X1))) = rd(X2,mult(X1,mult(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_114]),c_0_77]) ).
cnf(c_0_167,plain,
mult(X1,mult(ld(mult(X2,X1),X3),X1)) = ld(X2,mult(X3,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_168,plain,
mult(X1,rd(ld(X2,ld(X2,X3)),X3)) = rd(X1,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_161,c_0_15]) ).
cnf(c_0_169,plain,
rd(X1,mult(rd(X2,X3),rd(X2,X3))) = mult(X1,rd(X3,mult(rd(X2,X3),X2))),
inference(spm,[status(thm)],[c_0_162,c_0_10]) ).
cnf(c_0_170,plain,
rd(X1,mult(rd(X2,X2),rd(X1,X1))) = rd(mult(X1,X1),mult(rd(X2,X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_27]) ).
cnf(c_0_171,plain,
rd(X1,mult(rd(X2,X2),mult(X3,rd(X2,X2)))) = mult(rd(mult(X1,rd(X2,X2)),X3),rd(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_43]),c_0_43]) ).
cnf(c_0_172,plain,
rd(mult(X1,rd(X2,X2)),mult(X3,rd(X2,X2))) = mult(rd(X1,mult(rd(X2,X2),X3)),rd(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_43]) ).
cnf(c_0_173,plain,
rd(X1,rd(X2,mult(rd(X3,X3),X2))) = mult(X1,rd(X3,mult(rd(X2,X2),X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_158]),c_0_158]) ).
cnf(c_0_174,plain,
mult(rd(X1,mult(X1,X1)),mult(X1,mult(X1,X2))) = mult(mult(X1,X1),ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_165]),c_0_60]),c_0_56]) ).
cnf(c_0_175,plain,
mult(rd(X1,mult(X1,X1)),ld(ld(mult(X2,X1),X2),X3)) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_59]),c_0_11]),c_0_19]) ).
cnf(c_0_176,plain,
mult(rd(X1,mult(X2,mult(X2,X1))),X3) = ld(X2,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_102,c_0_166]) ).
cnf(c_0_177,plain,
rd(ld(X1,mult(X2,X3)),mult(ld(mult(X1,X3),X2),X3)) = X3,
inference(spm,[status(thm)],[c_0_19,c_0_167]) ).
cnf(c_0_178,plain,
mult(X1,rd(ld(rd(X2,X3),X3),X2)) = mult(X1,rd(X3,mult(rd(X2,X3),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_20]),c_0_169]) ).
fof(c_0_179,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_180,plain,
rd(mult(X1,mult(rd(X2,X2),X1)),X1) = mult(X1,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_170]),c_0_171]),c_0_9]),c_0_144]),c_0_144]),c_0_172]),c_0_19]),c_0_173]) ).
cnf(c_0_181,plain,
mult(mult(X1,mult(X2,rd(X3,X3))),rd(X3,X3)) = mult(mult(X1,rd(X3,X3)),mult(rd(X3,X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_43]),c_0_43]) ).
cnf(c_0_182,plain,
ld(X1,ld(X1,mult(mult(X1,X1),X2))) = mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_58]),c_0_91]),c_0_85]),c_0_92]),c_0_10]),c_0_58]),c_0_91]),c_0_85]),c_0_90]),c_0_59]),c_0_25]),c_0_19]),c_0_176]) ).
cnf(c_0_183,plain,
rd(ld(rd(X1,X2),X2),X1) = rd(X2,mult(rd(X1,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_178]),c_0_178]),c_0_177]) ).
fof(c_0_184,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_179])])])]) ).
cnf(c_0_185,plain,
rd(X1,mult(rd(X2,X2),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(spm,[status(thm)],[c_0_43,c_0_180]),c_0_42]),c_0_53]),c_0_148]),c_0_181]),c_0_47]),c_0_53]),c_0_141]),c_0_158]) ).
cnf(c_0_186,plain,
mult(mult(X1,X1),ld(X1,ld(X1,X2))) = mult(rd(X1,mult(X1,X1)),mult(X1,X2)),
inference(spm,[status(thm)],[c_0_174,c_0_15]) ).
cnf(c_0_187,plain,
ld(X1,ld(X1,rd(mult(X1,X1),X2))) = mult(X1,rd(rd(X1,mult(X1,X1)),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_58]),c_0_58]) ).
cnf(c_0_188,plain,
rd(ld(mult(X1,X2),X1),X2) = rd(X2,mult(X2,mult(X2,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_81]),c_0_85]) ).
cnf(c_0_189,plain,
rd(ld(X1,X2),mult(X1,X2)) = rd(X2,mult(X1,mult(X1,X2))),
inference(spm,[status(thm)],[c_0_183,c_0_19]) ).
cnf(c_0_190,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_184]) ).
cnf(c_0_191,plain,
mult(rd(X1,X1),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_185]),c_0_20]) ).
cnf(c_0_192,plain,
mult(rd(X1,mult(X1,X1)),rd(mult(X1,X1),X2)) = mult(mult(X1,X1),rd(rd(X1,mult(X1,X1)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_11]),c_0_15]) ).
cnf(c_0_193,plain,
mult(rd(ld(mult(X1,X2),X1),X2),X3) = ld(X2,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_102,c_0_188]) ).
cnf(c_0_194,plain,
rd(ld(X1,ld(X1,X2)),X2) = rd(X2,mult(X1,mult(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_15]),c_0_189]) ).
cnf(c_0_195,negated_conjecture,
mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191])]) ).
cnf(c_0_196,plain,
mult(X1,rd(X2,X2)) = mult(X1,rd(X3,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_185]),c_0_43]),c_0_185]) ).
cnf(c_0_197,plain,
mult(X1,rd(rd(X1,mult(X1,mult(X1,X1))),X2)) = ld(X1,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(rw,[status(thm)],[inference(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_192,c_0_58]),c_0_91]),c_0_85]),c_0_92]),c_0_10]),c_0_91]),c_0_85]),c_0_91]),c_0_85]),c_0_91]),c_0_85]),c_0_92]),c_0_10]),c_0_176]) ).
cnf(c_0_198,plain,
rd(X1,mult(X2,mult(X2,X1))) = rd(ld(mult(X3,X2),X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_193]),c_0_194]) ).
cnf(c_0_199,negated_conjecture,
mult(esk1_0,rd(X1,X1)) != esk1_0,
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_200,plain,
mult(X1,rd(rd(ld(mult(X2,X1),X2),X1),X3)) = ld(X1,ld(X1,rd(X1,X3))),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_201,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_108]),c_0_11]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP655+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 06:07:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.41/23.46 eprover: CPU time limit exceeded, terminating
% 0.41/23.48 eprover: CPU time limit exceeded, terminating
% 0.41/23.51 eprover: CPU time limit exceeded, terminating
% 0.41/23.61 eprover: CPU time limit exceeded, terminating
% 0.49/35.68 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.49/35.68
% 0.49/35.68 # Failure: Resource limit exceeded (time)
% 0.49/35.68 # OLD status Res
% 0.49/35.68 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.49/35.68 # Preprocessing time : 0.014 s
% 0.49/35.68 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.49/35.68 # Preprocessing time : 0.013 s
% 0.49/35.68
% 0.49/35.68 # Proof found!
% 0.49/35.68 # SZS status Theorem
% 0.49/35.68 # SZS output start CNFRefutation
% See solution above
% 0.49/35.68 # Proof object total steps : 202
% 0.49/35.68 # Proof object clause steps : 189
% 0.49/35.68 # Proof object formula steps : 13
% 0.49/35.68 # Proof object conjectures : 7
% 0.49/35.68 # Proof object clause conjectures : 4
% 0.49/35.68 # Proof object formula conjectures : 3
% 0.49/35.68 # Proof object initial clauses used : 6
% 0.49/35.68 # Proof object initial formulas used : 6
% 0.49/35.68 # Proof object generating inferences : 173
% 0.49/35.68 # Proof object simplifying inferences : 269
% 0.49/35.68 # Training examples: 0 positive, 0 negative
% 0.49/35.68 # Parsed axioms : 6
% 0.49/35.68 # Removed by relevancy pruning/SinE : 0
% 0.49/35.68 # Initial clauses : 6
% 0.49/35.68 # Removed in clause preprocessing : 0
% 0.49/35.68 # Initial clauses in saturation : 6
% 0.49/35.68 # Processed clauses : 4604
% 0.49/35.68 # ...of these trivial : 1693
% 0.49/35.68 # ...subsumed : 2023
% 0.49/35.68 # ...remaining for further processing : 888
% 0.49/35.68 # Other redundant clauses eliminated : 0
% 0.49/35.68 # Clauses deleted for lack of memory : 391704
% 0.49/35.68 # Backward-subsumed : 5
% 0.49/35.68 # Backward-rewritten : 228
% 0.49/35.68 # Generated clauses : 562943
% 0.49/35.68 # ...of the previous two non-trivial : 508838
% 0.49/35.68 # Contextual simplify-reflections : 0
% 0.49/35.68 # Paramodulations : 562943
% 0.49/35.68 # Factorizations : 0
% 0.49/35.68 # Equation resolutions : 0
% 0.49/35.68 # Current number of processed clauses : 655
% 0.49/35.68 # Positive orientable unit clauses : 610
% 0.49/35.68 # Positive unorientable unit clauses: 43
% 0.49/35.68 # Negative unit clauses : 2
% 0.49/35.68 # Non-unit-clauses : 0
% 0.49/35.68 # Current number of unprocessed clauses: 52853
% 0.49/35.68 # ...number of literals in the above : 52853
% 0.49/35.68 # Current number of archived formulas : 0
% 0.49/35.68 # Current number of archived clauses : 233
% 0.49/35.68 # Clause-clause subsumption calls (NU) : 0
% 0.49/35.68 # Rec. Clause-clause subsumption calls : 0
% 0.49/35.68 # Non-unit clause-clause subsumptions : 0
% 0.49/35.68 # Unit Clause-clause subsumption calls : 1471
% 0.49/35.68 # Rewrite failures with RHS unbound : 1933
% 0.49/35.68 # BW rewrite match attempts : 12580
% 0.49/35.68 # BW rewrite match successes : 714
% 0.49/35.68 # Condensation attempts : 0
% 0.49/35.68 # Condensation successes : 0
% 0.49/35.68 # Termbank termtop insertions : 16319881
% 0.49/35.68
% 0.49/35.68 # -------------------------------------------------
% 0.49/35.68 # User time : 11.842 s
% 0.49/35.68 # System time : 0.153 s
% 0.49/35.68 # Total time : 11.995 s
% 0.49/35.68 # Maximum resident set size: 146440 pages
% 0.49/46.50 eprover: CPU time limit exceeded, terminating
% 0.49/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.52 eprover: No such file or directory
% 0.49/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.52 eprover: No such file or directory
% 0.49/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.53 eprover: No such file or directory
% 0.49/46.53 eprover: CPU time limit exceeded, terminating
% 0.49/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.53 eprover: No such file or directory
% 0.49/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.54 eprover: No such file or directory
% 0.49/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.54 eprover: No such file or directory
% 0.49/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.54 eprover: No such file or directory
% 0.49/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.55 eprover: No such file or directory
% 0.49/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.55 eprover: No such file or directory
% 0.49/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.55 eprover: No such file or directory
% 0.49/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.56 eprover: No such file or directory
% 0.49/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.56 eprover: No such file or directory
% 0.49/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.56 eprover: No such file or directory
% 0.49/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.56 eprover: No such file or directory
% 0.49/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.56 eprover: No such file or directory
% 0.49/46.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.49/46.57 eprover: No such file or directory
% 0.49/46.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.57 eprover: No such file or directory
% 0.49/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.58 eprover: No such file or directory
% 0.49/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.58 eprover: No such file or directory
% 0.49/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.59 eprover: No such file or directory
% 0.49/46.62 eprover: CPU time limit exceeded, terminating
% 0.49/46.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.64 eprover: No such file or directory
% 0.49/46.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.64 eprover: No such file or directory
% 0.49/46.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.65 eprover: No such file or directory
% 0.49/46.65 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.65 eprover: No such file or directory
% 0.49/46.66 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.66 eprover: No such file or directory
% 0.49/46.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.67 eprover: No such file or directory
% 0.49/46.67 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.67 eprover: No such file or directory
% 0.49/46.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.68 eprover: No such file or directory
% 0.49/46.68 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.68 eprover: No such file or directory
% 0.49/46.69 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.49/46.69 eprover: No such file or directory
%------------------------------------------------------------------------------