%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP746+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 09:03:31 EDT 2022
% Result : Theorem 0.44s 39.61s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 9
% Syntax : Number of formulae : 313 ( 226 unt; 0 def)
% Number of atoms : 409 ( 408 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 173 ( 77 ~; 91 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 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 : 317 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
mult(mult(a,b),c) = mult(a,mult(b,c)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(f08,axiom,
! [X4,X5,X6] :
( ( mult(mult(X4,X5),X6) = mult(X4,mult(X5,X6))
& mult(mult(X4,X6),X5) = mult(X4,mult(X6,X5)) )
| ( mult(mult(X4,X5),X6) = mult(mult(X4,X6),X5)
& mult(X4,mult(X5,X6)) = mult(X4,mult(X6,X5)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f08) ).
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(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f04) ).
fof(f07,axiom,
! [X3,X1,X2] : mult(mult(mult(X2,X1),X3),X1) = mult(X2,mult(mult(X1,X3),X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f07) ).
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(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f03) ).
fof(f05,axiom,
! [X2] : mult(X2,unit) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f05) ).
fof(f06,axiom,
! [X2] : mult(unit,X2) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f06) ).
fof(c_0_9,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_10,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_11,plain,
! [X7,X8,X9] :
( ( mult(mult(X7,X8),X9) = mult(mult(X7,X9),X8)
| mult(mult(X7,X8),X9) = mult(X7,mult(X8,X9)) )
& ( mult(X7,mult(X8,X9)) = mult(X7,mult(X9,X8))
| mult(mult(X7,X8),X9) = mult(X7,mult(X8,X9)) )
& ( mult(mult(X7,X8),X9) = mult(mult(X7,X9),X8)
| mult(mult(X7,X9),X8) = mult(X7,mult(X9,X8)) )
& ( mult(X7,mult(X8,X9)) = mult(X7,mult(X9,X8))
| mult(mult(X7,X9),X8) = mult(X7,mult(X9,X8)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[f08])]) ).
fof(c_0_12,plain,
! [X3,X4] : ld(X4,mult(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_13,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(X1,mult(X3,X2)) = mult(X1,mult(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(mult(X1,X3),X2) = mult(mult(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
mult(a,mult(c,b)) = mult(a,mult(b,c)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_18,plain,
! [X3,X4] : rd(mult(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f04]) ).
fof(c_0_19,plain,
! [X4,X5,X6] : mult(mult(mult(X6,X5),X4),X5) = mult(X6,mult(mult(X5,X4),X5)),
inference(variable_rename,[status(thm)],[f07]) ).
cnf(c_0_20,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(mult(X1,X3),X2) != mult(X1,mult(X2,X3)) ),
inference(ef,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
mult(c,b) = mult(b,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_16]) ).
cnf(c_0_22,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( mult(mult(c,X1),b) = mult(c,mult(X1,b))
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
rd(mult(X1,mult(mult(X2,X3),X2)),X2) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( rd(mult(c,mult(X1,b)),b) = mult(c,X1)
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(spm,[status(thm)],[c_0_22,c_0_24]) ).
fof(c_0_27,plain,
! [X3,X4] : mult(X4,ld(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[f01]) ).
fof(c_0_28,plain,
! [X3,X4] : mult(rd(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_29,negated_conjecture,
( mult(mult(b,c),X1) = mult(c,mult(b,X1))
| mult(mult(b,c),mult(b,X1)) != mult(c,mult(mult(b,X1),b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_21]) ).
cnf(c_0_30,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( mult(mult(X1,X2),mult(X3,X2)) = mult(mult(X1,X2),mult(X2,X3))
| mult(mult(X1,X2),mult(X3,X2)) = mult(X1,mult(mult(X2,X3),X2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_32,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( mult(mult(b,c),ld(b,X1)) = mult(c,X1)
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_34,plain,
! [X3] : mult(X3,unit) = X3,
inference(variable_rename,[status(thm)],[f05]) ).
fof(c_0_35,plain,
! [X3] : mult(unit,X3) = X3,
inference(variable_rename,[status(thm)],[f06]) ).
cnf(c_0_36,negated_conjecture,
mult(mult(mult(b,c),X1),b) = mult(c,mult(mult(b,X1),b)),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_37,plain,
( mult(mult(X1,X2),mult(X3,X2)) = mult(X1,mult(mult(X2,X3),X2))
| mult(mult(X1,X2),mult(X2,X3)) != mult(X1,mult(mult(X2,X3),X2)) ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
mult(rd(X1,X2),mult(mult(X2,X3),X2)) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_23,c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( ld(mult(b,c),mult(c,X1)) = ld(b,X1)
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(spm,[status(thm)],[c_0_16,c_0_33]) ).
cnf(c_0_40,plain,
mult(X1,unit) = X1,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
mult(unit,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
mult(c,mult(mult(b,ld(mult(b,c),X1)),b)) = mult(X1,b),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_43,plain,
rd(mult(X1,mult(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_44,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(mult(X1,X2),X3) != mult(X1,mult(X3,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_32]),c_0_38]),c_0_38]) ).
cnf(c_0_45,negated_conjecture,
ld(mult(b,c),c) = ld(b,unit),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_40]),c_0_41]),c_0_21])]) ).
cnf(c_0_46,negated_conjecture,
mult(mult(b,ld(mult(b,c),X1)),b) = ld(c,mult(X1,b)),
inference(spm,[status(thm)],[c_0_16,c_0_42]) ).
cnf(c_0_47,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_40]),c_0_40]) ).
cnf(c_0_48,plain,
mult(mult(X1,X2),ld(X2,unit)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_41]),c_0_22]) ).
cnf(c_0_49,plain,
( mult(X1,mult(ld(X1,X2),X3)) = mult(X2,X3)
| mult(X1,mult(X3,ld(X1,X2))) != mult(X2,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_30]) ).
cnf(c_0_50,negated_conjecture,
mult(mult(b,c),ld(b,unit)) = c,
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
cnf(c_0_51,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(mult(X1,X3),X2) != mult(X1,mult(X3,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_15]),c_0_20]) ).
cnf(c_0_52,negated_conjecture,
rd(ld(c,mult(X1,b)),b) = mult(b,ld(mult(b,c),X1)),
inference(spm,[status(thm)],[c_0_22,c_0_46]) ).
cnf(c_0_53,plain,
rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_22,c_0_47]) ).
cnf(c_0_54,plain,
ld(mult(X1,X2),X1) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_16,c_0_48]) ).
cnf(c_0_55,negated_conjecture,
mult(b,mult(ld(b,unit),mult(b,c))) = mult(b,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_41]),c_0_41])]) ).
cnf(c_0_56,negated_conjecture,
( mult(mult(c,X1),b) = mult(c,mult(X1,b))
| mult(mult(b,c),X1) != mult(c,mult(b,X1)) ),
inference(spm,[status(thm)],[c_0_51,c_0_21]) ).
cnf(c_0_57,negated_conjecture,
mult(b,ld(mult(b,c),rd(X1,b))) = rd(ld(c,X1),b),
inference(spm,[status(thm)],[c_0_52,c_0_32]) ).
cnf(c_0_58,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_53,c_0_32]) ).
cnf(c_0_59,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_60,plain,
ld(ld(X1,unit),unit) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_16]) ).
cnf(c_0_61,plain,
mult(X1,mult(mult(X2,ld(mult(X1,X2),X3)),X2)) = mult(X3,X2),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_62,plain,
mult(X1,mult(mult(ld(X1,X2),X3),ld(X1,X2))) = mult(mult(X2,X3),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_63,negated_conjecture,
mult(ld(b,unit),mult(b,c)) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_55]),c_0_16]) ).
cnf(c_0_64,negated_conjecture,
( rd(mult(c,mult(X1,b)),b) = mult(c,X1)
| mult(mult(b,c),X1) != mult(c,mult(b,X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
ld(b,rd(ld(c,X1),b)) = ld(mult(b,c),rd(X1,b)),
inference(spm,[status(thm)],[c_0_16,c_0_57]) ).
cnf(c_0_66,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_16,c_0_40]) ).
cnf(c_0_67,plain,
rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_58]) ).
cnf(c_0_68,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_22,c_0_41]) ).
cnf(c_0_69,plain,
rd(unit,X1) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_70,negated_conjecture,
mult(rd(X1,c),mult(b,mult(c,c))) = mult(mult(X1,b),c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_21]),c_0_47]) ).
cnf(c_0_71,plain,
mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_32]) ).
cnf(c_0_72,negated_conjecture,
mult(b,mult(mult(c,ld(b,unit)),c)) = mult(c,c),
inference(spm,[status(thm)],[c_0_61,c_0_45]) ).
cnf(c_0_73,negated_conjecture,
mult(b,mult(c,ld(b,unit))) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_41]),c_0_50]) ).
cnf(c_0_74,negated_conjecture,
( mult(mult(b,c),X1) = mult(c,mult(b,X1))
| mult(mult(b,c),mult(b,X1)) != mult(c,mult(b,mult(b,X1))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_64]),c_0_21]) ).
cnf(c_0_75,negated_conjecture,
ld(mult(b,c),rd(c,b)) = ld(b,rd(unit,b)),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_76,negated_conjecture,
ld(c,mult(b,c)) = b,
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_77,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_16,c_0_32]) ).
cnf(c_0_78,plain,
rd(X1,mult(X1,X1)) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_79,negated_conjecture,
mult(mult(b,c),mult(b,b)) = mult(c,mult(b,mult(b,b))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_36]),c_0_47]) ).
cnf(c_0_80,negated_conjecture,
mult(mult(b,c),b) = mult(c,mult(b,b)),
inference(spm,[status(thm)],[c_0_47,c_0_21]) ).
cnf(c_0_81,plain,
( mult(mult(rd(X1,X2),X3),X2) = mult(rd(X1,X2),mult(X3,X2))
| mult(rd(X1,X2),mult(X3,X2)) != mult(X1,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_32]) ).
cnf(c_0_82,plain,
mult(ld(X1,unit),mult(mult(X1,X2),X1)) = mult(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_69]),c_0_41]) ).
cnf(c_0_83,negated_conjecture,
mult(ld(c,unit),mult(b,mult(c,c))) = mult(b,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_69]),c_0_41]) ).
cnf(c_0_84,plain,
rd(mult(X1,X2),mult(X2,X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_22,c_0_71]) ).
cnf(c_0_85,plain,
mult(ld(X1,unit),mult(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_69]),c_0_41]) ).
cnf(c_0_86,plain,
rd(X1,ld(X2,unit)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_54]) ).
cnf(c_0_87,plain,
ld(ld(X1,X2),unit) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_54,c_0_30]) ).
cnf(c_0_88,negated_conjecture,
mult(mult(c,ld(b,unit)),c) = ld(b,mult(c,c)),
inference(spm,[status(thm)],[c_0_16,c_0_72]) ).
cnf(c_0_89,negated_conjecture,
mult(c,ld(b,unit)) = ld(b,c),
inference(spm,[status(thm)],[c_0_16,c_0_73]) ).
cnf(c_0_90,negated_conjecture,
( mult(mult(b,c),ld(b,X1)) = mult(c,X1)
| mult(mult(b,c),X1) != mult(c,mult(b,X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_30]) ).
cnf(c_0_91,negated_conjecture,
mult(mult(b,c),ld(b,rd(unit,b))) = rd(c,b),
inference(spm,[status(thm)],[c_0_30,c_0_75]) ).
cnf(c_0_92,negated_conjecture,
ld(ld(b,unit),unit) = b,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_50]),c_0_76]) ).
cnf(c_0_93,plain,
ld(rd(unit,X1),X1) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_94,negated_conjecture,
rd(mult(c,mult(b,mult(b,b))),b) = mult(c,mult(b,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_79]),c_0_80]) ).
cnf(c_0_95,negated_conjecture,
( mult(b,mult(mult(b,b),c)) = mult(b,mult(c,mult(b,b)))
| mult(c,mult(b,mult(b,b))) = mult(b,mult(c,mult(b,b))) ),
inference(spm,[status(thm)],[c_0_14,c_0_79]) ).
cnf(c_0_96,negated_conjecture,
rd(mult(X1,mult(c,mult(b,b))),b) = mult(mult(X1,b),c),
inference(spm,[status(thm)],[c_0_25,c_0_80]) ).
cnf(c_0_97,plain,
( mult(rd(X1,X2),X3) = mult(X1,ld(X2,X3))
| mult(rd(X1,X2),mult(X3,X2)) != mult(X1,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_81]),c_0_43]),c_0_32]) ).
cnf(c_0_98,plain,
mult(ld(X1,unit),mult(X2,X1)) = mult(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_82,c_0_30]) ).
cnf(c_0_99,negated_conjecture,
mult(c,ld(mult(c,c),b)) = rd(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_83]),c_0_84]),c_0_85]) ).
cnf(c_0_100,plain,
rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_101,negated_conjecture,
ld(b,mult(c,c)) = mult(ld(b,c),c),
inference(rw,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_102,negated_conjecture,
( mult(c,rd(unit,b)) = rd(c,b)
| mult(mult(b,c),rd(unit,b)) != mult(c,mult(b,rd(unit,b))) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_103,negated_conjecture,
rd(unit,b) = ld(b,unit),
inference(spm,[status(thm)],[c_0_59,c_0_92]) ).
cnf(c_0_104,negated_conjecture,
rd(c,ld(b,unit)) = mult(b,c),
inference(spm,[status(thm)],[c_0_59,c_0_45]) ).
cnf(c_0_105,plain,
mult(ld(X1,unit),ld(X1,unit)) = ld(X1,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_93,c_0_59]) ).
cnf(c_0_106,negated_conjecture,
( mult(b,mult(mult(b,b),c)) = mult(b,mult(c,mult(b,b)))
| mult(mult(b,b),c) = mult(c,mult(b,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_107,plain,
( mult(ld(X1,unit),X2) = ld(X1,X2)
| mult(ld(X1,unit),mult(X2,X1)) != X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_69]),c_0_41]),c_0_41]) ).
cnf(c_0_108,plain,
mult(ld(X1,unit),X1) = unit,
inference(spm,[status(thm)],[c_0_30,c_0_60]) ).
cnf(c_0_109,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_41]) ).
cnf(c_0_110,plain,
mult(ld(X1,rd(X2,X1)),X1) = mult(ld(X1,unit),X2),
inference(spm,[status(thm)],[c_0_98,c_0_32]) ).
cnf(c_0_111,plain,
( mult(X1,mult(ld(mult(X1,X2),X3),X2)) = mult(X1,mult(X2,ld(mult(X1,X2),X3)))
| mult(X1,mult(X2,ld(mult(X1,X2),X3))) = X3 ),
inference(spm,[status(thm)],[c_0_14,c_0_30]) ).
cnf(c_0_112,plain,
( mult(rd(X1,X2),mult(X2,X3)) = mult(rd(X1,X2),mult(X3,X2))
| mult(rd(X1,X2),mult(X2,X3)) = mult(X1,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_32]) ).
cnf(c_0_113,negated_conjecture,
mult(rd(b,c),mult(ld(b,c),c)) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_99]),c_0_100]),c_0_101]) ).
cnf(c_0_114,negated_conjecture,
rd(c,b) = ld(b,c),
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)],[c_0_102,c_0_103]),c_0_89]),c_0_103]),c_0_50]),c_0_103]),c_0_30]),c_0_40])]) ).
cnf(c_0_115,negated_conjecture,
( ld(mult(b,c),mult(c,X1)) = ld(b,X1)
| mult(mult(b,c),X1) != mult(c,mult(b,X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_90]) ).
cnf(c_0_116,negated_conjecture,
mult(mult(b,c),ld(b,ld(b,unit))) = mult(c,ld(b,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_104]),c_0_105]) ).
cnf(c_0_117,negated_conjecture,
mult(mult(b,b),c) = mult(c,mult(b,b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_106]),c_0_16])]) ).
cnf(c_0_118,negated_conjecture,
mult(mult(c,mult(b,b)),c) = mult(b,mult(b,mult(c,c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_80]),c_0_21]),c_0_47]) ).
cnf(c_0_119,plain,
( mult(ld(X1,unit),mult(X1,X2)) = X2
| mult(X2,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(spm,[status(thm)],[c_0_107,c_0_61]),c_0_108]),c_0_109]),c_0_108]),c_0_109]),c_0_16]),c_0_108]),c_0_109]) ).
cnf(c_0_120,plain,
rd(mult(ld(X1,unit),X2),X1) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_110]) ).
cnf(c_0_121,plain,
( mult(ld(mult(X1,X2),X3),X2) = mult(X2,ld(mult(X1,X2),X3))
| mult(X1,mult(X2,ld(mult(X1,X2),X3))) = X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_111]),c_0_16]) ).
cnf(c_0_122,negated_conjecture,
mult(rd(b,c),mult(c,ld(b,c))) = c,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_30])]) ).
cnf(c_0_123,negated_conjecture,
ld(ld(b,c),c) = b,
inference(spm,[status(thm)],[c_0_77,c_0_114]) ).
cnf(c_0_124,plain,
mult(X1,ld(X2,unit)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_32]) ).
cnf(c_0_125,negated_conjecture,
( ld(c,mult(mult(c,X1),b)) = mult(X1,b)
| mult(mult(b,c),X1) != mult(c,mult(b,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_115]),c_0_30]) ).
cnf(c_0_126,negated_conjecture,
mult(mult(c,ld(b,unit)),b) = mult(c,mult(ld(b,unit),b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_116]),c_0_30]) ).
cnf(c_0_127,negated_conjecture,
mult(mult(b,b),mult(c,c)) = mult(b,mult(b,mult(c,c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_117]),c_0_118]) ).
cnf(c_0_128,negated_conjecture,
mult(mult(b,mult(c,c)),b) = mult(c,mult(c,mult(b,b))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_47]),c_0_80]) ).
cnf(c_0_129,negated_conjecture,
( mult(b,mult(ld(b,unit),c)) = c
| mult(b,mult(c,ld(b,unit))) != c ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_50]),c_0_30]),c_0_41]) ).
cnf(c_0_130,plain,
( mult(ld(X1,unit),X2) = ld(X1,X2)
| mult(ld(X1,X2),X1) != X2 ),
inference(spm,[status(thm)],[c_0_119,c_0_30]) ).
cnf(c_0_131,plain,
ld(ld(X1,unit),mult(X2,X1)) = mult(mult(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_77]),c_0_69]),c_0_100]),c_0_109]),c_0_69]),c_0_69]),c_0_100]),c_0_109]) ).
cnf(c_0_132,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(X3,X2) = mult(X2,X3) ),
inference(spm,[status(thm)],[c_0_121,c_0_16]) ).
cnf(c_0_133,negated_conjecture,
mult(mult(rd(b,c),ld(b,c)),b) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_122]),c_0_59]),c_0_123]) ).
cnf(c_0_134,plain,
mult(X1,mult(rd(X2,mult(X1,X2)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_124]),c_0_41]) ).
cnf(c_0_135,negated_conjecture,
( ld(c,mult(X1,b)) = mult(ld(c,X1),b)
| mult(mult(b,c),ld(c,X1)) != mult(c,mult(b,ld(c,X1))) ),
inference(spm,[status(thm)],[c_0_125,c_0_30]) ).
cnf(c_0_136,negated_conjecture,
mult(c,mult(ld(b,unit),b)) = mult(ld(b,c),b),
inference(rw,[status(thm)],[c_0_126,c_0_89]) ).
cnf(c_0_137,negated_conjecture,
( mult(c,mult(mult(b,b),c)) = mult(b,mult(b,mult(c,c)))
| mult(mult(c,c),mult(b,b)) = mult(b,mult(b,mult(c,c))) ),
inference(spm,[status(thm)],[c_0_15,c_0_118]) ).
cnf(c_0_138,negated_conjecture,
mult(c,mult(c,mult(b,b))) = mult(b,mult(mult(c,c),b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_127]),c_0_128]) ).
cnf(c_0_139,negated_conjecture,
( mult(ld(b,unit),c) = ld(b,c)
| mult(b,mult(c,ld(b,unit))) != c ),
inference(spm,[status(thm)],[c_0_16,c_0_129]) ).
cnf(c_0_140,plain,
mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_87]),c_0_109]),c_0_124]),c_0_22]),c_0_132]) ).
cnf(c_0_141,negated_conjecture,
mult(rd(X1,b),mult(c,mult(b,b))) = mult(mult(X1,c),b),
inference(spm,[status(thm)],[c_0_38,c_0_80]) ).
cnf(c_0_142,negated_conjecture,
rd(mult(b,c),b) = c,
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_143,negated_conjecture,
mult(rd(b,c),ld(b,c)) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_133]),c_0_68]) ).
cnf(c_0_144,plain,
mult(rd(X1,mult(X2,X1)),X1) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_16,c_0_134]) ).
cnf(c_0_145,negated_conjecture,
( mult(ld(c,unit),b) = ld(c,b)
| mult(c,mult(b,ld(c,unit))) != b ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_48]),c_0_41]) ).
cnf(c_0_146,negated_conjecture,
ld(mult(b,c),rd(mult(c,X1),b)) = ld(b,rd(X1,b)),
inference(spm,[status(thm)],[c_0_65,c_0_16]) ).
cnf(c_0_147,negated_conjecture,
rd(mult(ld(b,c),b),mult(ld(b,unit),b)) = c,
inference(spm,[status(thm)],[c_0_22,c_0_136]) ).
cnf(c_0_148,negated_conjecture,
mult(ld(b,unit),b) = unit,
inference(spm,[status(thm)],[c_0_30,c_0_92]) ).
cnf(c_0_149,plain,
rd(X1,unit) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_32]) ).
cnf(c_0_150,plain,
( mult(mult(X1,X2),mult(X3,X3)) = mult(X1,mult(mult(X3,X2),X3))
| mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_47]) ).
cnf(c_0_151,negated_conjecture,
( mult(mult(c,c),mult(b,b)) = mult(b,mult(b,mult(c,c)))
| mult(b,mult(mult(c,c),b)) = mult(b,mult(b,mult(c,c))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_117]),c_0_138]) ).
cnf(c_0_152,negated_conjecture,
ld(rd(b,c),c) = mult(ld(b,c),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_99]),c_0_87]),c_0_101]) ).
cnf(c_0_153,negated_conjecture,
mult(ld(b,unit),c) = ld(b,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_73])]) ).
cnf(c_0_154,plain,
mult(ld(X1,unit),X2) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_98]),c_0_124]),c_0_22]),c_0_124]),c_0_22]) ).
cnf(c_0_155,negated_conjecture,
mult(ld(b,unit),mult(c,mult(b,b))) = mult(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_69]),c_0_41]),c_0_21]) ).
cnf(c_0_156,negated_conjecture,
rd(mult(b,c),mult(b,b)) = rd(c,b),
inference(spm,[status(thm)],[c_0_67,c_0_142]) ).
cnf(c_0_157,negated_conjecture,
ld(c,mult(b,b)) = mult(rd(b,c),b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_54]),c_0_124]) ).
cnf(c_0_158,negated_conjecture,
rd(b,c) = ld(c,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_143]),c_0_69]),c_0_87]) ).
cnf(c_0_159,negated_conjecture,
mult(ld(b,c),mult(mult(b,X1),b)) = mult(mult(c,X1),b),
inference(spm,[status(thm)],[c_0_38,c_0_114]) ).
cnf(c_0_160,plain,
rd(ld(X1,X2),X2) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_144]) ).
cnf(c_0_161,plain,
( mult(X1,mult(ld(X2,unit),X3)) = mult(rd(X1,X2),X3)
| mult(X1,mult(ld(X2,unit),X3)) != rd(mult(X1,X3),X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_124]),c_0_124]) ).
cnf(c_0_162,negated_conjecture,
( mult(ld(c,unit),b) = ld(c,b)
| mult(c,rd(b,c)) != b ),
inference(rw,[status(thm)],[c_0_145,c_0_124]) ).
cnf(c_0_163,negated_conjecture,
mult(mult(b,c),ld(b,rd(X1,b))) = rd(mult(c,X1),b),
inference(spm,[status(thm)],[c_0_30,c_0_146]) ).
cnf(c_0_164,negated_conjecture,
mult(ld(b,c),b) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148]),c_0_149]) ).
cnf(c_0_165,negated_conjecture,
( mult(b,mult(mult(c,c),b)) = mult(b,mult(b,mult(c,c)))
| mult(mult(c,c),b) = mult(c,mult(b,c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_80]),c_0_138]),c_0_21])]) ).
cnf(c_0_166,plain,
mult(rd(X1,mult(X2,X2)),mult(mult(X2,X3),X2)) = mult(mult(rd(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_23,c_0_58]) ).
cnf(c_0_167,negated_conjecture,
mult(ld(b,c),c) = mult(c,ld(b,c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_122]),c_0_152]) ).
cnf(c_0_168,negated_conjecture,
rd(ld(b,c),c) = ld(b,unit),
inference(spm,[status(thm)],[c_0_22,c_0_153]) ).
cnf(c_0_169,plain,
ld(ld(X1,unit),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_77]),c_0_69]) ).
cnf(c_0_170,plain,
ld(X1,mult(X2,X1)) = mult(ld(X1,X2),X1),
inference(rw,[status(thm)],[c_0_98,c_0_154]) ).
cnf(c_0_171,negated_conjecture,
mult(b,ld(mult(b,b),c)) = ld(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_155]),c_0_156]),c_0_114]),c_0_85]) ).
cnf(c_0_172,negated_conjecture,
mult(c,mult(rd(b,c),b)) = mult(b,b),
inference(spm,[status(thm)],[c_0_30,c_0_157]) ).
cnf(c_0_173,negated_conjecture,
mult(ld(c,b),mult(mult(c,X1),c)) = mult(mult(b,X1),c),
inference(spm,[status(thm)],[c_0_38,c_0_158]) ).
cnf(c_0_174,negated_conjecture,
mult(ld(b,c),mult(rd(b,X1),b)) = mult(rd(c,X1),b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_124]),c_0_124]) ).
cnf(c_0_175,plain,
rd(X1,mult(mult(X1,X2),X1)) = rd(ld(X2,unit),X1),
inference(spm,[status(thm)],[c_0_160,c_0_54]) ).
cnf(c_0_176,plain,
rd(X1,mult(rd(X1,X2),X1)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_160,c_0_77]) ).
cnf(c_0_177,plain,
rd(X1,mult(X2,X1)) = ld(X2,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_154]),c_0_160]) ).
cnf(c_0_178,negated_conjecture,
( mult(rd(X1,c),b) = mult(X1,ld(c,b))
| rd(mult(X1,b),c) != mult(X1,ld(c,b))
| mult(c,rd(b,c)) != b ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_179,plain,
( rd(mult(X1,X2),X3) = mult(X1,rd(X2,X3))
| mult(X1,mult(ld(X3,unit),X2)) != mult(rd(X1,X3),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_124]),c_0_124]),c_0_124]) ).
cnf(c_0_180,negated_conjecture,
rd(mult(X1,mult(b,mult(c,c))),c) = mult(mult(X1,c),b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_47]) ).
cnf(c_0_181,negated_conjecture,
rd(mult(c,mult(b,c)),b) = mult(mult(b,c),ld(b,c)),
inference(spm,[status(thm)],[c_0_163,c_0_142]) ).
cnf(c_0_182,negated_conjecture,
mult(mult(b,c),ld(b,c)) = mult(b,mult(c,ld(b,c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_164]),c_0_21]) ).
cnf(c_0_183,negated_conjecture,
mult(b,mult(ld(b,c),c)) = mult(c,c),
inference(spm,[status(thm)],[c_0_30,c_0_101]) ).
cnf(c_0_184,negated_conjecture,
( mult(mult(c,c),b) = mult(c,mult(b,c))
| mult(mult(c,c),b) = mult(b,mult(c,c)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_165]),c_0_16]) ).
cnf(c_0_185,plain,
mult(rd(X1,mult(X2,X2)),mult(X2,mult(X3,X2))) = mult(mult(rd(X1,X2),X3),X2),
inference(rw,[status(thm)],[c_0_166,c_0_140]) ).
cnf(c_0_186,negated_conjecture,
rd(mult(c,ld(b,c)),mult(c,c)) = ld(b,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_167]),c_0_168]) ).
cnf(c_0_187,plain,
rd(mult(X1,X2),X1) = mult(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_124]),c_0_169]),c_0_124]) ).
cnf(c_0_188,negated_conjecture,
mult(ld(b,c),mult(ld(c,b),b)) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_171]),c_0_100]),c_0_157]),c_0_158]) ).
cnf(c_0_189,negated_conjecture,
mult(c,mult(ld(c,b),b)) = mult(b,b),
inference(rw,[status(thm)],[c_0_172,c_0_158]) ).
cnf(c_0_190,negated_conjecture,
ld(ld(c,b),mult(mult(b,X1),c)) = mult(mult(c,X1),c),
inference(spm,[status(thm)],[c_0_16,c_0_173]) ).
cnf(c_0_191,negated_conjecture,
mult(rd(c,mult(mult(b,X1),b)),b) = rd(ld(b,c),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_32]),c_0_124]) ).
cnf(c_0_192,plain,
ld(rd(X1,X2),unit) = rd(X2,X1),
inference(rw,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_193,negated_conjecture,
( mult(rd(X1,c),b) = mult(X1,ld(c,b))
| rd(mult(X1,b),c) != mult(X1,ld(c,b)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_158]),c_0_30])]) ).
cnf(c_0_194,negated_conjecture,
( mult(mult(X1,c),b) = mult(X1,mult(b,c))
| mult(mult(X1,b),c) != mult(X1,mult(b,c)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_83]),c_0_180]),c_0_53]),c_0_70]) ).
cnf(c_0_195,negated_conjecture,
rd(mult(c,mult(b,c)),b) = mult(b,mult(c,ld(b,c))),
inference(rw,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_196,negated_conjecture,
mult(b,mult(c,ld(b,c))) = mult(c,c),
inference(rw,[status(thm)],[c_0_183,c_0_167]) ).
cnf(c_0_197,negated_conjecture,
( mult(mult(c,c),b) = mult(b,mult(c,c))
| mult(c,mult(b,c)) != mult(b,mult(c,c)) ),
inference(ef,[status(thm)],[c_0_184]) ).
cnf(c_0_198,negated_conjecture,
ld(b,mult(c,mult(X1,c))) = mult(mult(ld(b,c),X1),c),
inference(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_185,c_0_186]),c_0_154]),c_0_187]),c_0_160]),c_0_177]),c_0_124]),c_0_114]) ).
cnf(c_0_199,negated_conjecture,
mult(mult(b,b),ld(b,c)) = mult(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_188]),c_0_30]),c_0_189]) ).
cnf(c_0_200,negated_conjecture,
ld(ld(c,b),mult(X1,c)) = mult(mult(c,ld(b,X1)),c),
inference(spm,[status(thm)],[c_0_190,c_0_30]) ).
cnf(c_0_201,negated_conjecture,
mult(rd(c,mult(b,mult(X1,b))),b) = rd(ld(b,c),X1),
inference(rw,[status(thm)],[c_0_191,c_0_140]) ).
cnf(c_0_202,plain,
rd(X1,rd(X2,X3)) = mult(X1,rd(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_192]),c_0_109]) ).
cnf(c_0_203,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_154,c_0_192]) ).
cnf(c_0_204,negated_conjecture,
( mult(mult(X1,c),ld(c,b)) = mult(X1,b)
| mult(mult(X1,b),c) != mult(X1,mult(b,c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_22]),c_0_43])]) ).
cnf(c_0_205,negated_conjecture,
mult(ld(c,b),c) = b,
inference(spm,[status(thm)],[c_0_32,c_0_158]) ).
cnf(c_0_206,negated_conjecture,
rd(mult(c,mult(b,c)),b) = mult(c,c),
inference(rw,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_207,negated_conjecture,
mult(mult(c,c),b) = mult(b,mult(c,c)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_184]),c_0_21]),c_0_47]),c_0_197]) ).
cnf(c_0_208,negated_conjecture,
mult(b,mult(mult(ld(b,c),X1),c)) = mult(c,mult(X1,c)),
inference(spm,[status(thm)],[c_0_30,c_0_198]) ).
cnf(c_0_209,plain,
ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3),
inference(spm,[status(thm)],[c_0_154,c_0_87]) ).
cnf(c_0_210,negated_conjecture,
mult(mult(b,c),ld(c,b)) = mult(b,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_199]),c_0_100]) ).
cnf(c_0_211,negated_conjecture,
mult(b,ld(mult(b,c),unit)) = rd(ld(c,b),b),
inference(spm,[status(thm)],[c_0_52,c_0_41]) ).
cnf(c_0_212,negated_conjecture,
ld(ld(c,b),mult(X1,c)) = mult(c,mult(ld(b,X1),c)),
inference(rw,[status(thm)],[c_0_200,c_0_140]) ).
cnf(c_0_213,negated_conjecture,
rd(mult(b,mult(X1,b)),c) = mult(b,mult(X1,ld(c,b))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_201]),c_0_202]),c_0_100]),c_0_203]),c_0_40]) ).
cnf(c_0_214,negated_conjecture,
( mult(mult(X1,ld(c,b)),c) = mult(X1,b)
| mult(mult(X1,b),c) != mult(X1,mult(b,c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_204]),c_0_205]),c_0_205])]) ).
cnf(c_0_215,negated_conjecture,
mult(c,mult(b,c)) = mult(b,mult(c,c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_206]),c_0_207]) ).
cnf(c_0_216,negated_conjecture,
mult(c,mult(mult(ld(c,b),X1),c)) = mult(b,mult(X1,c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_30]),c_0_209]) ).
cnf(c_0_217,negated_conjecture,
mult(mult(b,ld(c,b)),c) = mult(b,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_210]),c_0_205]),c_0_205])]) ).
cnf(c_0_218,negated_conjecture,
( ld(ld(c,unit),ld(c,b)) = b
| mult(c,rd(b,c)) != b ),
inference(spm,[status(thm)],[c_0_16,c_0_162]) ).
cnf(c_0_219,negated_conjecture,
rd(ld(c,b),b) = rd(b,mult(b,c)),
inference(rw,[status(thm)],[c_0_211,c_0_124]) ).
cnf(c_0_220,negated_conjecture,
mult(ld(b,c),mult(X1,c)) = mult(c,mult(ld(b,X1),c)),
inference(spm,[status(thm)],[c_0_209,c_0_212]) ).
cnf(c_0_221,negated_conjecture,
mult(mult(b,mult(X1,ld(c,b))),c) = mult(b,mult(X1,b)),
inference(spm,[status(thm)],[c_0_32,c_0_213]) ).
cnf(c_0_222,negated_conjecture,
mult(ld(b,c),mult(b,mult(X1,b))) = mult(mult(c,X1),b),
inference(rw,[status(thm)],[c_0_159,c_0_140]) ).
cnf(c_0_223,negated_conjecture,
mult(mult(X1,ld(c,b)),c) = mult(rd(X1,c),mult(b,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_214]),c_0_21]),c_0_21]),c_0_47]),c_0_215])]) ).
cnf(c_0_224,negated_conjecture,
mult(mult(b,c),ld(c,X1)) = mult(c,mult(ld(c,b),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_216]),c_0_43]),c_0_22]) ).
cnf(c_0_225,negated_conjecture,
rd(mult(b,b),c) = mult(b,ld(c,b)),
inference(spm,[status(thm)],[c_0_22,c_0_217]) ).
cnf(c_0_226,negated_conjecture,
( rd(b,mult(b,c)) = ld(c,unit)
| mult(c,rd(b,c)) != b ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_218]),c_0_219]) ).
cnf(c_0_227,negated_conjecture,
rd(mult(X1,mult(b,c)),b) = mult(mult(X1,b),ld(b,c)),
inference(spm,[status(thm)],[c_0_43,c_0_21]) ).
cnf(c_0_228,negated_conjecture,
mult(c,mult(rd(X1,c),mult(b,c))) = mult(mult(c,X1),b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]),c_0_16]),c_0_223]) ).
cnf(c_0_229,negated_conjecture,
mult(c,mult(ld(c,b),mult(c,X1))) = mult(mult(b,c),X1),
inference(spm,[status(thm)],[c_0_224,c_0_16]) ).
cnf(c_0_230,negated_conjecture,
mult(ld(c,b),mult(c,mult(X1,c))) = mult(mult(b,X1),c),
inference(rw,[status(thm)],[c_0_173,c_0_140]) ).
cnf(c_0_231,negated_conjecture,
mult(ld(c,b),b) = mult(b,ld(c,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_225]),c_0_158]) ).
cnf(c_0_232,negated_conjecture,
rd(b,mult(b,c)) = ld(c,unit),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_158]),c_0_30])]) ).
cnf(c_0_233,negated_conjecture,
( mult(mult(X1,b),ld(b,c)) = mult(X1,c)
| mult(mult(X1,b),c) != mult(X1,mult(b,c)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_194]),c_0_227]) ).
cnf(c_0_234,negated_conjecture,
mult(mult(c,mult(X1,c)),b) = mult(c,mult(X1,mult(b,c))),
inference(spm,[status(thm)],[c_0_228,c_0_22]) ).
cnf(c_0_235,negated_conjecture,
mult(mult(b,c),mult(X1,c)) = mult(c,mult(mult(b,X1),c)),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_236,negated_conjecture,
rd(mult(b,ld(c,b)),mult(b,b)) = ld(c,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_231]),c_0_219]),c_0_232]) ).
cnf(c_0_237,negated_conjecture,
( mult(mult(X1,ld(b,c)),b) = mult(X1,c)
| mult(mult(X1,b),c) != mult(X1,mult(b,c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_233]),c_0_164]),c_0_164])]) ).
cnf(c_0_238,negated_conjecture,
mult(c,mult(b,b)) = mult(b,mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_199]),c_0_80]),c_0_30]),c_0_21]) ).
cnf(c_0_239,negated_conjecture,
( mult(mult(X1,c),b) = mult(X1,mult(b,c))
| mult(c,mult(mult(b,X1),c)) != mult(c,mult(b,mult(X1,c))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_234]),c_0_16]),c_0_235]) ).
cnf(c_0_240,negated_conjecture,
ld(c,mult(b,mult(X1,b))) = mult(mult(ld(c,b),X1),b),
inference(rw,[status(thm)],[inference(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_185,c_0_236]),c_0_154]),c_0_187]),c_0_160]),c_0_21]),c_0_232]),c_0_124]),c_0_158]) ).
cnf(c_0_241,negated_conjecture,
mult(mult(X1,ld(b,c)),b) = mult(rd(X1,b),mult(b,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_237]),c_0_117]),c_0_238])]) ).
cnf(c_0_242,negated_conjecture,
mult(mult(b,c),b) = mult(b,mult(b,c)),
inference(rw,[status(thm)],[c_0_80,c_0_238]) ).
cnf(c_0_243,negated_conjecture,
mult(rd(X1,b),mult(b,mult(b,c))) = mult(mult(X1,c),b),
inference(rw,[status(thm)],[c_0_141,c_0_238]) ).
cnf(c_0_244,negated_conjecture,
mult(ld(c,unit),b) = ld(c,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_158]),c_0_30])]) ).
cnf(c_0_245,plain,
ld(X1,rd(X1,X2)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_54,c_0_32]) ).
cnf(c_0_246,negated_conjecture,
( mult(mult(X1,c),b) = mult(X1,mult(b,c))
| mult(c,X1) = mult(X1,c) ),
inference(spm,[status(thm)],[c_0_239,c_0_132]) ).
cnf(c_0_247,negated_conjecture,
mult(c,mult(mult(ld(c,b),X1),b)) = mult(b,mult(X1,b)),
inference(spm,[status(thm)],[c_0_30,c_0_240]) ).
cnf(c_0_248,negated_conjecture,
( mult(mult(X1,b),ld(b,c)) = mult(X1,c)
| mult(rd(X1,b),mult(b,c)) != mult(X1,c) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_241]),c_0_30]),c_0_30]) ).
cnf(c_0_249,negated_conjecture,
( mult(rd(X1,b),mult(b,c)) = mult(X1,c)
| mult(mult(X1,c),b) != mult(X1,mult(b,c)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_242]),c_0_16]),c_0_243]) ).
cnf(c_0_250,negated_conjecture,
( rd(mult(X1,b),c) = mult(X1,ld(c,b))
| mult(rd(X1,c),b) != mult(X1,ld(c,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_244]),c_0_158]) ).
cnf(c_0_251,plain,
mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1),
inference(spm,[status(thm)],[c_0_140,c_0_30]) ).
cnf(c_0_252,plain,
ld(X1,ld(X2,unit)) = ld(mult(X2,X1),unit),
inference(spm,[status(thm)],[c_0_245,c_0_177]) ).
cnf(c_0_253,negated_conjecture,
( mult(mult(X1,b),c) = mult(X1,mult(b,c))
| mult(c,X1) = mult(X1,c) ),
inference(spm,[status(thm)],[c_0_15,c_0_246]) ).
cnf(c_0_254,negated_conjecture,
mult(mult(b,ld(mult(X1,b),c)),b) = ld(X1,mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_46]),c_0_100]),c_0_54]),c_0_87]) ).
cnf(c_0_255,negated_conjecture,
mult(b,mult(mult(ld(b,c),X1),b)) = mult(c,mult(X1,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_30]),c_0_209]) ).
cnf(c_0_256,negated_conjecture,
( mult(mult(X1,b),ld(b,c)) = mult(X1,c)
| mult(mult(X1,c),b) != mult(X1,mult(b,c)) ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_257,plain,
( mult(rd(X1,X2),mult(X2,X3)) = mult(X1,X3)
| mult(mult(rd(X1,X2),X3),X2) = mult(X1,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_32]) ).
cnf(c_0_258,negated_conjecture,
( mult(rd(X1,c),mult(b,c)) = mult(X1,b)
| mult(rd(X1,c),b) != mult(X1,ld(c,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_250]),c_0_223]) ).
cnf(c_0_259,plain,
mult(X1,ld(mult(X2,X1),X1)) = ld(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_154]),c_0_154]) ).
cnf(c_0_260,negated_conjecture,
mult(c,a) = mult(a,c),
inference(spm,[status(thm)],[c_0_13,c_0_253]) ).
cnf(c_0_261,negated_conjecture,
ld(rd(X1,b),mult(b,c)) = mult(mult(b,ld(X1,c)),b),
inference(spm,[status(thm)],[c_0_254,c_0_32]) ).
cnf(c_0_262,negated_conjecture,
mult(mult(b,c),ld(b,X1)) = mult(b,mult(ld(b,c),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_255]),c_0_43]),c_0_21]),c_0_22]) ).
cnf(c_0_263,negated_conjecture,
( mult(mult(X1,c),ld(c,b)) = mult(X1,b)
| mult(mult(X1,c),b) != mult(X1,mult(b,c)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_256]),c_0_100]) ).
cnf(c_0_264,plain,
ld(mult(X1,X2),mult(X1,mult(X2,X1))) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_140]) ).
cnf(c_0_265,negated_conjecture,
( mult(mult(X1,b),c) = mult(X1,mult(b,c))
| mult(rd(X1,c),b) != mult(X1,ld(c,b)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_215]),c_0_70])]) ).
cnf(c_0_266,negated_conjecture,
rd(a,c) = ld(c,a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_54]),c_0_124]) ).
cnf(c_0_267,negated_conjecture,
ld(rd(X1,b),mult(b,c)) = mult(b,mult(ld(X1,c),b)),
inference(rw,[status(thm)],[c_0_261,c_0_140]) ).
cnf(c_0_268,plain,
rd(ld(X1,X2),X2) = ld(X1,unit),
inference(rw,[status(thm)],[c_0_160,c_0_177]) ).
cnf(c_0_269,negated_conjecture,
mult(b,mult(ld(b,c),mult(b,X1))) = mult(mult(b,c),X1),
inference(spm,[status(thm)],[c_0_262,c_0_16]) ).
cnf(c_0_270,negated_conjecture,
( mult(rd(X1,c),mult(b,c)) = mult(X1,b)
| mult(mult(X1,c),b) != mult(X1,mult(b,c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_263]),c_0_223]),c_0_205]),c_0_205])]) ).
cnf(c_0_271,negated_conjecture,
mult(ld(c,a),c) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_260]),c_0_170]),c_0_54]),c_0_154]),c_0_170]) ).
cnf(c_0_272,negated_conjecture,
mult(ld(c,a),b) != mult(a,ld(c,b)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_13]) ).
cnf(c_0_273,negated_conjecture,
( mult(rd(X1,b),mult(b,c)) = mult(X1,c)
| mult(mult(X1,b),ld(b,c)) != mult(X1,c) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_63]),c_0_227]) ).
cnf(c_0_274,negated_conjecture,
mult(b,mult(mult(ld(b,X1),c),b)) = mult(X1,mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_209]),c_0_109]),c_0_209]) ).
cnf(c_0_275,negated_conjecture,
ld(b,mult(mult(b,c),X1)) = mult(ld(b,c),mult(b,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_269]) ).
cnf(c_0_276,negated_conjecture,
mult(c,mult(a,c)) = mult(a,mult(c,c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_260]),c_0_47]) ).
cnf(c_0_277,negated_conjecture,
( mult(mult(X1,c),b) = mult(X1,mult(b,c))
| mult(mult(X1,mult(c,c)),b) != mult(mult(X1,c),mult(b,c)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_22]),c_0_47]) ).
cnf(c_0_278,negated_conjecture,
mult(ld(c,a),mult(c,c)) = mult(a,c),
inference(spm,[status(thm)],[c_0_71,c_0_266]) ).
cnf(c_0_279,negated_conjecture,
mult(ld(c,a),mult(b,c)) != mult(a,b),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_271]),c_0_272]) ).
cnf(c_0_280,negated_conjecture,
mult(mult(c,ld(b,X1)),b) = mult(ld(b,c),mult(X1,b)),
inference(spm,[status(thm)],[c_0_159,c_0_30]) ).
cnf(c_0_281,negated_conjecture,
( mult(mult(X1,c),b) = mult(X1,mult(b,c))
| mult(mult(X1,b),ld(b,c)) != mult(X1,c) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_273]),c_0_243])]) ).
cnf(c_0_282,negated_conjecture,
mult(mult(X1,b),ld(b,c)) = mult(b,mult(ld(b,X1),c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_274]),c_0_227]),c_0_22]) ).
cnf(c_0_283,negated_conjecture,
( ld(b,mult(c,X1)) = mult(ld(b,c),X1)
| mult(mult(b,c),X1) != mult(c,mult(b,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_90]),c_0_30]) ).
cnf(c_0_284,negated_conjecture,
mult(mult(a,mult(c,c)),b) = mult(c,mult(a,mult(b,c))),
inference(spm,[status(thm)],[c_0_234,c_0_276]) ).
cnf(c_0_285,negated_conjecture,
mult(mult(a,c),b) != mult(a,mult(b,c)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_271]),c_0_271]),c_0_279]) ).
cnf(c_0_286,negated_conjecture,
( mult(mult(b,c),ld(b,X1)) = mult(c,X1)
| mult(ld(b,c),mult(X1,b)) != mult(c,mult(ld(b,X1),b)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_280]),c_0_21]),c_0_30]) ).
cnf(c_0_287,negated_conjecture,
( mult(ld(c,b),X1) = mult(b,ld(c,X1))
| mult(ld(c,b),mult(X1,c)) != mult(b,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_158]) ).
cnf(c_0_288,negated_conjecture,
( mult(mult(X1,c),b) = mult(X1,mult(b,c))
| mult(b,mult(ld(b,X1),c)) != mult(X1,c) ),
inference(rw,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_289,negated_conjecture,
( ld(b,mult(a,c)) = mult(ld(b,c),a)
| mult(mult(b,c),a) != mult(c,mult(b,a)) ),
inference(spm,[status(thm)],[c_0_283,c_0_260]) ).
cnf(c_0_290,negated_conjecture,
mult(mult(a,c),mult(b,c)) != mult(c,mult(a,mult(b,c))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_284]),c_0_285]) ).
cnf(c_0_291,negated_conjecture,
( mult(mult(b,c),X1) = mult(c,mult(b,X1))
| mult(mult(c,X1),b) != mult(c,mult(X1,b)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_159]),c_0_16]),c_0_16]) ).
cnf(c_0_292,negated_conjecture,
( ld(b,mult(c,X1)) = mult(ld(b,c),X1)
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_33]),c_0_30]) ).
cnf(c_0_293,negated_conjecture,
( mult(mult(b,c),X1) = mult(c,mult(b,X1))
| mult(mult(c,X1),b) = mult(mult(b,c),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_294,negated_conjecture,
( mult(ld(c,b),mult(c,X1)) = mult(b,X1)
| mult(mult(b,X1),c) != mult(b,mult(c,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_173]),c_0_16]) ).
cnf(c_0_295,negated_conjecture,
mult(mult(b,c),a) != mult(c,mult(b,a)),
inference(sr,[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(spm,[status(thm)],[c_0_288,c_0_289]),c_0_47]),c_0_284]),c_0_208]),c_0_276]),c_0_47])]),c_0_290]) ).
cnf(c_0_296,negated_conjecture,
( mult(mult(b,c),X1) = mult(c,mult(b,X1))
| mult(b,X1) = mult(X1,b) ),
inference(spm,[status(thm)],[c_0_291,c_0_132]) ).
cnf(c_0_297,negated_conjecture,
( ld(b,mult(a,c)) = mult(ld(b,c),a)
| mult(mult(b,c),a) != mult(c,mult(a,b)) ),
inference(spm,[status(thm)],[c_0_292,c_0_260]) ).
cnf(c_0_298,negated_conjecture,
( mult(mult(b,c),ld(b,X1)) = mult(c,X1)
| mult(ld(b,c),mult(X1,b)) != mult(c,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_280]),c_0_21]),c_0_30]),c_0_30]) ).
cnf(c_0_299,negated_conjecture,
( mult(mult(b,c),a) = mult(mult(a,c),b)
| mult(mult(b,c),a) = mult(c,mult(b,a)) ),
inference(spm,[status(thm)],[c_0_293,c_0_260]) ).
cnf(c_0_300,negated_conjecture,
( mult(mult(b,c),X1) = mult(c,mult(b,X1))
| mult(mult(b,X1),c) != mult(b,mult(c,X1)) ),
inference(spm,[status(thm)],[c_0_229,c_0_294]) ).
cnf(c_0_301,negated_conjecture,
mult(b,a) = mult(a,b),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_302,negated_conjecture,
mult(mult(b,c),a) != mult(c,mult(a,b)),
inference(sr,[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(spm,[status(thm)],[c_0_288,c_0_297]),c_0_47]),c_0_284]),c_0_208]),c_0_276]),c_0_47])]),c_0_290]) ).
cnf(c_0_303,negated_conjecture,
( rd(mult(c,X1),b) = mult(c,rd(X1,b))
| mult(ld(b,c),X1) != mult(c,rd(X1,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_32]),c_0_163]) ).
cnf(c_0_304,negated_conjecture,
mult(mult(b,c),a) = mult(mult(a,c),b),
inference(sr,[status(thm)],[c_0_299,c_0_295]) ).
cnf(c_0_305,negated_conjecture,
mult(mult(a,b),c) != mult(b,mult(a,c)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_260]),c_0_302]) ).
cnf(c_0_306,negated_conjecture,
( mult(mult(c,rd(X1,b)),b) = mult(c,X1)
| mult(ld(b,c),X1) != mult(c,rd(X1,b)) ),
inference(spm,[status(thm)],[c_0_32,c_0_303]) ).
cnf(c_0_307,negated_conjecture,
mult(mult(a,c),b) != mult(b,mult(a,c)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_304]),c_0_301]),c_0_305]) ).
cnf(c_0_308,negated_conjecture,
( mult(mult(c,X1),b) = mult(c,mult(X1,b))
| mult(ld(b,c),mult(X1,b)) != mult(c,X1) ),
inference(spm,[status(thm)],[c_0_306,c_0_22]) ).
cnf(c_0_309,negated_conjecture,
mult(mult(a,c),b) = mult(mult(a,b),c),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_304]),c_0_301]),c_0_260]),c_0_307]) ).
cnf(c_0_310,negated_conjecture,
mult(ld(b,a),b) = a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_301]),c_0_170]),c_0_54]),c_0_154]),c_0_170]) ).
cnf(c_0_311,negated_conjecture,
mult(c,mult(mult(a,b),c)) = mult(c,mult(a,mult(b,c))),
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(spm,[status(thm)],[c_0_308,c_0_309]),c_0_276]),c_0_284]),c_0_220]),c_0_170]),c_0_310]),c_0_276]),c_0_276])]) ).
cnf(c_0_312,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_311]),c_0_16]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP746+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 14 10:01:56 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.33/23.39 eprover: CPU time limit exceeded, terminating
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.42 eprover: CPU time limit exceeded, terminating
% 0.44/39.61 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.44/39.61
% 0.44/39.61 # Failure: Resource limit exceeded (time)
% 0.44/39.61 # OLD status Res
% 0.44/39.61 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.44/39.61 # Preprocessing time : 0.007 s
% 0.44/39.61 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.44/39.61 # Preprocessing time : 0.013 s
% 0.44/39.61
% 0.44/39.61 # Proof found!
% 0.44/39.61 # SZS status Theorem
% 0.44/39.61 # SZS output start CNFRefutation
% See solution above
% 0.44/39.61 # Proof object total steps : 313
% 0.44/39.61 # Proof object clause steps : 294
% 0.44/39.61 # Proof object formula steps : 19
% 0.44/39.61 # Proof object conjectures : 211
% 0.44/39.61 # Proof object clause conjectures : 208
% 0.44/39.61 # Proof object formula conjectures : 3
% 0.44/39.61 # Proof object initial clauses used : 10
% 0.44/39.61 # Proof object initial formulas used : 9
% 0.44/39.61 # Proof object generating inferences : 256
% 0.44/39.61 # Proof object simplifying inferences : 311
% 0.44/39.61 # Training examples: 0 positive, 0 negative
% 0.44/39.61 # Parsed axioms : 9
% 0.44/39.61 # Removed by relevancy pruning/SinE : 0
% 0.44/39.61 # Initial clauses : 12
% 0.44/39.61 # Removed in clause preprocessing : 0
% 0.44/39.61 # Initial clauses in saturation : 12
% 0.44/39.61 # Processed clauses : 7393
% 0.44/39.61 # ...of these trivial : 2910
% 0.44/39.61 # ...subsumed : 1373
% 0.44/39.61 # ...remaining for further processing : 3110
% 0.44/39.61 # Other redundant clauses eliminated : 0
% 0.44/39.61 # Clauses deleted for lack of memory : 455277
% 0.44/39.61 # Backward-subsumed : 33
% 0.44/39.61 # Backward-rewritten : 1714
% 0.44/39.61 # Generated clauses : 834660
% 0.44/39.61 # ...of the previous two non-trivial : 689944
% 0.44/39.61 # Contextual simplify-reflections : 163
% 0.44/39.61 # Paramodulations : 834520
% 0.44/39.61 # Factorizations : 131
% 0.44/39.61 # Equation resolutions : 5
% 0.44/39.61 # Current number of processed clauses : 1359
% 0.44/39.61 # Positive orientable unit clauses : 791
% 0.44/39.61 # Positive unorientable unit clauses: 0
% 0.44/39.61 # Negative unit clauses : 33
% 0.44/39.61 # Non-unit-clauses : 535
% 0.44/39.61 # Current number of unprocessed clauses: 80735
% 0.44/39.61 # ...number of literals in the above : 185844
% 0.44/39.61 # Current number of archived formulas : 0
% 0.44/39.61 # Current number of archived clauses : 1751
% 0.44/39.61 # Clause-clause subsumption calls (NU) : 76596
% 0.44/39.61 # Rec. Clause-clause subsumption calls : 61339
% 0.44/39.61 # Non-unit clause-clause subsumptions : 1463
% 0.44/39.61 # Unit Clause-clause subsumption calls : 6425
% 0.44/39.61 # Rewrite failures with RHS unbound : 0
% 0.44/39.61 # BW rewrite match attempts : 9586
% 0.44/39.61 # BW rewrite match successes : 1044
% 0.44/39.61 # Condensation attempts : 0
% 0.44/39.61 # Condensation successes : 0
% 0.44/39.61 # Termbank termtop insertions : 40623523
% 0.44/39.61
% 0.44/39.61 # -------------------------------------------------
% 0.44/39.61 # User time : 15.903 s
% 0.44/39.61 # System time : 0.142 s
% 0.44/39.61 # Total time : 16.045 s
% 0.44/39.61 # Maximum resident set size: 151564 pages
% 0.44/46.41 eprover: CPU time limit exceeded, terminating
% 0.44/46.41 eprover: CPU time limit exceeded, terminating
% 0.44/46.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.43 eprover: No such file or directory
% 0.44/46.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.43 eprover: No such file or directory
% 0.44/46.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.43 eprover: No such file or directory
% 0.44/46.43 eprover: CPU time limit exceeded, terminating
% 0.44/46.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.43 eprover: No such file or directory
% 0.44/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.44 eprover: No such file or directory
% 0.44/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.44 eprover: No such file or directory
% 0.44/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.44 eprover: No such file or directory
% 0.44/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.45 eprover: No such file or directory
% 0.44/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.45 eprover: No such file or directory
% 0.44/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.45 eprover: No such file or directory
% 0.44/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.45 eprover: No such file or directory
% 0.44/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.45 eprover: No such file or directory
% 0.44/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.45 eprover: No such file or directory
% 0.44/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.46 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.47 eprover: No such file or directory
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.48 eprover: No such file or directory
% 0.44/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.44/46.49 eprover: No such file or directory
%------------------------------------------------------------------------------