TSTP Solution File: GRP746+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP746+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 : 300s
% DateTime : Thu Aug 31 00:23:25 EDT 2023
% Result : Theorem 16.42s 16.48s
% Output : CNFRefutation 16.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 16
% Syntax : Number of formulae : 425 ( 340 unt; 7 typ; 0 def)
% Number of atoms : 504 ( 503 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 153 ( 67 ~; 81 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% 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 : 489 ( 0 sgn; 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ld: ( $i * $i ) > $i ).
tff(decl_23,type,
mult: ( $i * $i ) > $i ).
tff(decl_24,type,
rd: ( $i * $i ) > $i ).
tff(decl_25,type,
unit: $i ).
tff(decl_26,type,
a: $i ).
tff(decl_27,type,
b: $i ).
tff(decl_28,type,
c: $i ).
fof(goals,conjecture,
mult(mult(a,b),c) = mult(a,mult(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f07,axiom,
! [X3,X1,X2] : mult(mult(mult(X2,X1),X3),X1) = mult(X2,mult(mult(X1,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f06,axiom,
! [X2] : mult(unit,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f05,axiom,
! [X2] : mult(X2,unit) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(c_0_9,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_10,plain,
! [X20,X21,X22] :
( ( mult(mult(X20,X21),X22) = mult(mult(X20,X22),X21)
| mult(mult(X20,X21),X22) = mult(X20,mult(X21,X22)) )
& ( mult(X20,mult(X21,X22)) = mult(X20,mult(X22,X21))
| mult(mult(X20,X21),X22) = mult(X20,mult(X21,X22)) )
& ( mult(mult(X20,X21),X22) = mult(mult(X20,X22),X21)
| mult(mult(X20,X22),X21) = mult(X20,mult(X22,X21)) )
& ( mult(X20,mult(X21,X22)) = mult(X20,mult(X22,X21))
| mult(mult(X20,X22),X21) = mult(X20,mult(X22,X21)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[f08])]) ).
fof(c_0_11,plain,
! [X9,X10] : ld(X10,mult(X10,X9)) = X9,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_12,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( mult(X1,mult(X2,X3)) = mult(X1,mult(X3,X2))
| mult(mult(X1,X3),X2) = mult(X1,mult(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X17,X18,X19] : mult(mult(mult(X19,X18),X17),X18) = mult(X19,mult(mult(X18,X17),X18)),
inference(variable_rename,[status(thm)],[f07]) ).
cnf(c_0_15,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
mult(a,mult(c,b)) = mult(a,mult(b,c)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_17,plain,
! [X13,X14] : rd(mult(X14,X13),X13) = X14,
inference(variable_rename,[status(thm)],[f04]) ).
cnf(c_0_18,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
mult(c,b) = mult(b,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_15]) ).
cnf(c_0_20,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
mult(mult(mult(b,c),X1),b) = mult(c,mult(mult(b,X1),b)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_22,plain,
! [X7,X8] : mult(X8,ld(X8,X7)) = X7,
inference(variable_rename,[status(thm)],[f01]) ).
cnf(c_0_23,negated_conjecture,
rd(mult(c,mult(mult(b,X1),b)),b) = mult(mult(b,c),X1),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_25,plain,
! [X11,X12] : mult(rd(X12,X11),X11) = X12,
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_26,negated_conjecture,
rd(mult(c,mult(X1,b)),b) = mult(mult(b,c),ld(b,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_28,negated_conjecture,
mult(mult(b,c),ld(b,rd(X1,b))) = rd(mult(c,X1),b),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
ld(mult(b,c),rd(mult(c,X1),b)) = ld(b,rd(X1,b)),
inference(spm,[status(thm)],[c_0_15,c_0_28]) ).
cnf(c_0_30,negated_conjecture,
ld(b,rd(ld(c,X1),b)) = ld(mult(b,c),rd(X1,b)),
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
mult(b,ld(mult(b,c),rd(X1,b))) = rd(ld(c,X1),b),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
fof(c_0_32,plain,
! [X16] : mult(unit,X16) = X16,
inference(variable_rename,[status(thm)],[f06]) ).
cnf(c_0_33,negated_conjecture,
rd(ld(c,mult(X1,b)),b) = mult(b,ld(mult(b,c),X1)),
inference(spm,[status(thm)],[c_0_31,c_0_20]) ).
cnf(c_0_34,plain,
mult(unit,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_35,negated_conjecture,
rd(mult(b,c),b) = c,
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_36,plain,
rd(mult(X1,mult(mult(X2,X3),X2)),X2) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_37,negated_conjecture,
mult(mult(b,ld(mult(b,c),X1)),b) = ld(c,mult(X1,b)),
inference(spm,[status(thm)],[c_0_27,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
mult(mult(b,c),ld(b,unit)) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_34]),c_0_19]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
rd(mult(X1,ld(c,mult(X2,b))),b) = mult(mult(X1,b),ld(mult(b,c),X2)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
ld(c,mult(b,c)) = b,
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_41,negated_conjecture,
ld(mult(b,c),c) = ld(b,unit),
inference(spm,[status(thm)],[c_0_15,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
mult(mult(X1,b),ld(b,unit)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_19]),c_0_40]),c_0_20]),c_0_41]) ).
fof(c_0_43,plain,
! [X15] : mult(X15,unit) = X15,
inference(variable_rename,[status(thm)],[f05]) ).
cnf(c_0_44,negated_conjecture,
ld(mult(X1,b),X1) = ld(b,unit),
inference(spm,[status(thm)],[c_0_15,c_0_42]) ).
cnf(c_0_45,plain,
mult(X1,unit) = X1,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_46,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_34]) ).
cnf(c_0_47,negated_conjecture,
ld(X1,rd(X1,b)) = ld(b,unit),
inference(spm,[status(thm)],[c_0_44,c_0_27]) ).
cnf(c_0_48,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_45]),c_0_45]) ).
cnf(c_0_49,plain,
( mult(mult(X1,X2),X3) = mult(mult(X1,X3),X2)
| mult(mult(X1,X3),X2) = mult(X1,mult(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_50,plain,
mult(rd(X1,X2),mult(mult(X2,X3),X2)) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
cnf(c_0_51,negated_conjecture,
rd(unit,b) = ld(b,unit),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_53,negated_conjecture,
( mult(mult(c,X1),b) = mult(mult(b,c),X1)
| mult(mult(c,X1),b) = mult(c,mult(X1,b)) ),
inference(spm,[status(thm)],[c_0_49,c_0_19]) ).
cnf(c_0_54,negated_conjecture,
mult(ld(b,unit),mult(mult(b,X1),b)) = mult(X1,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_34]) ).
cnf(c_0_55,plain,
rd(mult(X1,X2),mult(X2,X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
( mult(mult(c,X1),b) = mult(c,mult(X1,b))
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(ef,[status(thm)],[c_0_53]) ).
cnf(c_0_57,plain,
rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_48]) ).
cnf(c_0_58,negated_conjecture,
mult(X1,ld(b,unit)) = rd(X1,b),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_59,negated_conjecture,
mult(ld(b,unit),mult(X1,b)) = mult(ld(b,X1),b),
inference(spm,[status(thm)],[c_0_54,c_0_24]) ).
cnf(c_0_60,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_27]) ).
cnf(c_0_61,plain,
rd(X1,mult(X1,X1)) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_55,c_0_34]) ).
cnf(c_0_62,negated_conjecture,
( mult(b,ld(mult(b,c),mult(c,X1))) = X1
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_56]),c_0_15]),c_0_20]) ).
cnf(c_0_63,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_27]) ).
cnf(c_0_64,negated_conjecture,
mult(rd(X1,X2),mult(rd(X2,b),X2)) = mult(rd(X1,b),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_58]),c_0_58]) ).
cnf(c_0_65,plain,
( mult(X1,mult(X2,ld(X1,X3))) = mult(X1,mult(ld(X1,X3),X2))
| mult(X1,mult(ld(X1,X3),X2)) = mult(X3,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_24]) ).
cnf(c_0_66,negated_conjecture,
mult(ld(b,unit),mult(b,c)) = mult(ld(b,c),b),
inference(spm,[status(thm)],[c_0_59,c_0_19]) ).
cnf(c_0_67,plain,
ld(rd(unit,X1),X1) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( rd(X1,ld(mult(b,c),mult(c,X1))) = b
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(spm,[status(thm)],[c_0_20,c_0_62]) ).
cnf(c_0_69,plain,
rd(rd(X1,X2),X2) = rd(X1,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
( mult(mult(b,c),ld(b,X1)) = mult(c,X1)
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_56]),c_0_26]) ).
cnf(c_0_71,negated_conjecture,
ld(rd(X1,X2),mult(rd(X1,b),X2)) = mult(rd(X2,b),X2),
inference(spm,[status(thm)],[c_0_15,c_0_64]) ).
cnf(c_0_72,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_20,c_0_34]) ).
cnf(c_0_73,negated_conjecture,
mult(b,mult(ld(b,c),b)) = 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_65,c_0_66]),c_0_58]),c_0_35]),c_0_34])]) ).
cnf(c_0_74,negated_conjecture,
mult(ld(b,unit),ld(b,unit)) = ld(b,ld(b,unit)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_45]),c_0_41]),c_0_45]),c_0_41]),c_0_45]),c_0_41]),c_0_45]),c_0_34]),c_0_19])]) ).
cnf(c_0_75,negated_conjecture,
rd(ld(b,unit),b) = rd(unit,mult(b,b)),
inference(spm,[status(thm)],[c_0_69,c_0_51]) ).
cnf(c_0_76,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_15,c_0_70]) ).
cnf(c_0_77,negated_conjecture,
( mult(c,rd(ld(c,X1),b)) = rd(X1,b)
| mult(mult(b,c),rd(ld(c,X1),b)) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_30]),c_0_24]),c_0_27]),c_0_24]) ).
cnf(c_0_78,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_15,c_0_45]) ).
cnf(c_0_79,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_24]) ).
cnf(c_0_80,negated_conjecture,
ld(rd(b,X1),X1) = mult(rd(X1,b),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_34]) ).
cnf(c_0_81,negated_conjecture,
mult(ld(b,c),b) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_73]),c_0_15]) ).
cnf(c_0_82,negated_conjecture,
rd(X1,ld(b,unit)) = mult(X1,b),
inference(spm,[status(thm)],[c_0_20,c_0_42]) ).
cnf(c_0_83,negated_conjecture,
ld(b,ld(b,unit)) = rd(unit,mult(b,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_58]),c_0_75]) ).
cnf(c_0_84,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_49]) ).
cnf(c_0_85,negated_conjecture,
( ld(c,mult(mult(c,X1),b)) = mult(X1,b)
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_76]),c_0_24]) ).
cnf(c_0_86,negated_conjecture,
rd(mult(X1,mult(rd(X2,b),X2)),X2) = rd(mult(X1,X2),b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_58]),c_0_58]) ).
cnf(c_0_87,negated_conjecture,
mult(b,mult(mult(c,ld(b,unit)),c)) = mult(c,c),
inference(spm,[status(thm)],[c_0_18,c_0_38]) ).
cnf(c_0_88,negated_conjecture,
( mult(c,rd(unit,b)) = rd(c,b)
| mult(mult(b,c),rd(unit,b)) != c ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_89,negated_conjecture,
rd(X1,mult(rd(X1,b),X1)) = rd(b,X1),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,negated_conjecture,
rd(c,b) = ld(b,c),
inference(spm,[status(thm)],[c_0_20,c_0_81]) ).
cnf(c_0_91,negated_conjecture,
rd(X1,rd(unit,mult(b,b))) = mult(X1,mult(b,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_82]),c_0_82]),c_0_48]),c_0_74]),c_0_83]) ).
cnf(c_0_92,negated_conjecture,
( rd(mult(X1,X2),b) = mult(X1,rd(X2,b))
| mult(rd(X1,b),X2) != mult(X1,rd(X2,b)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_58]),c_0_58]),c_0_58]),c_0_58]) ).
cnf(c_0_93,negated_conjecture,
( rd(mult(mult(c,X1),b),mult(X1,b)) = c
| mult(mult(b,c),X1) != mult(c,mult(X1,b)) ),
inference(spm,[status(thm)],[c_0_79,c_0_85]) ).
cnf(c_0_94,negated_conjecture,
ld(rd(mult(X1,b),X2),mult(X1,X2)) = mult(rd(X2,b),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_86]),c_0_72]),c_0_34]),c_0_20]) ).
cnf(c_0_95,negated_conjecture,
mult(mult(c,ld(b,unit)),c) = ld(b,mult(c,c)),
inference(spm,[status(thm)],[c_0_15,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
mult(c,ld(b,unit)) = rd(c,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_51]),c_0_51]),c_0_38])]) ).
cnf(c_0_97,negated_conjecture,
rd(c,mult(ld(b,c),c)) = rd(b,c),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_98,negated_conjecture,
mult(mult(b,c),b) = mult(c,mult(b,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_45]),c_0_45]) ).
cnf(c_0_99,negated_conjecture,
ld(mult(X1,mult(b,b)),X1) = rd(unit,mult(b,b)),
inference(spm,[status(thm)],[c_0_60,c_0_91]) ).
cnf(c_0_100,negated_conjecture,
( mult(mult(X1,rd(X2,b)),b) = mult(X1,X2)
| mult(rd(X1,b),X2) != mult(X1,rd(X2,b)) ),
inference(spm,[status(thm)],[c_0_27,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
( rd(mult(mult(c,rd(X1,b)),b),X1) = c
| mult(mult(b,c),rd(X1,b)) != mult(c,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_27]) ).
cnf(c_0_102,negated_conjecture,
rd(mult(X1,X2),mult(rd(X2,b),X2)) = rd(mult(X1,b),X2),
inference(spm,[status(thm)],[c_0_79,c_0_94]) ).
cnf(c_0_103,negated_conjecture,
ld(b,mult(c,c)) = mult(rd(c,b),c),
inference(rw,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_104,plain,
( mult(rd(X1,X2),mult(X3,X2)) = mult(rd(X1,X2),mult(X2,X3))
| mult(rd(X1,X2),mult(X2,X3)) = mult(X1,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_27]) ).
cnf(c_0_105,negated_conjecture,
mult(rd(b,c),mult(ld(b,c),c)) = c,
inference(spm,[status(thm)],[c_0_27,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
mult(mult(c,mult(b,b)),c) = mult(b,mult(mult(b,c),c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_98]),c_0_19]) ).
cnf(c_0_107,negated_conjecture,
rd(unit,mult(b,b)) = ld(mult(b,b),unit),
inference(spm,[status(thm)],[c_0_99,c_0_34]) ).
cnf(c_0_108,negated_conjecture,
( mult(mult(X1,c),b) = mult(X1,mult(b,c))
| mult(rd(X1,b),mult(b,c)) != mult(X1,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_72]),c_0_45]),c_0_19]),c_0_72]),c_0_45]),c_0_19]),c_0_72]),c_0_45]),c_0_19])]) ).
cnf(c_0_109,negated_conjecture,
rd(mult(rd(X1,X2),b),X2) = rd(X1,mult(rd(X2,b),X2)),
inference(spm,[status(thm)],[c_0_102,c_0_27]) ).
cnf(c_0_110,negated_conjecture,
mult(b,mult(rd(c,b),c)) = mult(c,c),
inference(spm,[status(thm)],[c_0_24,c_0_103]) ).
cnf(c_0_111,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_104,c_0_105]),c_0_24])]) ).
cnf(c_0_112,negated_conjecture,
mult(mult(c,mult(b,b)),c) = mult(b,mult(b,mult(c,c))),
inference(rw,[status(thm)],[c_0_106,c_0_48]) ).
cnf(c_0_113,plain,
( mult(mult(X1,X2),mult(X3,X2)) = mult(X1,mult(mult(X2,X3),X2))
| mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(mult(X2,X3),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_49]),c_0_18]),c_0_48]) ).
cnf(c_0_114,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_21,c_0_48]),c_0_98]) ).
cnf(c_0_115,negated_conjecture,
ld(mult(X1,mult(b,b)),X1) = ld(mult(b,b),unit),
inference(rw,[status(thm)],[c_0_99,c_0_107]) ).
cnf(c_0_116,negated_conjecture,
mult(c,mult(b,b)) = mult(b,mult(b,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_72]),c_0_98]),c_0_34])]) ).
cnf(c_0_117,negated_conjecture,
rd(mult(X1,mult(X2,b)),b) = mult(mult(X1,b),ld(b,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_59]),c_0_82]),c_0_58]),c_0_20]),c_0_58]) ).
cnf(c_0_118,negated_conjecture,
mult(rd(X1,mult(rd(X2,b),X2)),X2) = mult(rd(X1,X2),b),
inference(spm,[status(thm)],[c_0_27,c_0_109]) ).
cnf(c_0_119,negated_conjecture,
mult(b,mult(ld(b,c),c)) = mult(c,c),
inference(spm,[status(thm)],[c_0_110,c_0_90]) ).
cnf(c_0_120,negated_conjecture,
mult(ld(b,c),c) = mult(c,ld(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_111]),c_0_80]),c_0_90]) ).
cnf(c_0_121,negated_conjecture,
( mult(mult(c,c),mult(b,b)) = mult(c,mult(c,mult(b,b)))
| mult(c,mult(c,mult(b,b))) != mult(b,mult(b,mult(c,c))) ),
inference(spm,[status(thm)],[c_0_84,c_0_112]) ).
cnf(c_0_122,negated_conjecture,
rd(mult(X1,mult(c,mult(b,b))),b) = mult(mult(X1,b),c),
inference(spm,[status(thm)],[c_0_36,c_0_98]) ).
cnf(c_0_123,negated_conjecture,
( mult(mult(b,c),mult(b,c)) = mult(c,mult(c,mult(b,b)))
| mult(c,mult(c,mult(b,b))) = mult(b,mult(b,mult(c,c))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_98]),c_0_19]),c_0_19]),c_0_98]) ).
cnf(c_0_124,negated_conjecture,
( mult(mult(b,c),mult(b,c)) = mult(b,mult(b,mult(c,c)))
| mult(c,mult(c,mult(b,b))) = mult(b,mult(b,mult(c,c))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_113]),c_0_19]),c_0_48]),c_0_19]),c_0_48]) ).
cnf(c_0_125,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_50,c_0_19]),c_0_48]) ).
cnf(c_0_126,plain,
mult(X1,mult(mult(X2,ld(mult(X1,X2),X3)),X2)) = mult(X3,X2),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_127,negated_conjecture,
ld(mult(b,mult(b,c)),c) = ld(mult(b,b),unit),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_128,negated_conjecture,
mult(X1,ld(mult(b,b),unit)) = rd(X1,mult(b,b)),
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_48,c_0_58]),c_0_58]),c_0_69]),c_0_58]),c_0_75]),c_0_107]) ).
cnf(c_0_129,negated_conjecture,
rd(mult(b,c),mult(b,b)) = rd(c,b),
inference(spm,[status(thm)],[c_0_55,c_0_19]) ).
cnf(c_0_130,negated_conjecture,
mult(mult(X1,b),ld(b,rd(X2,b))) = rd(mult(X1,X2),b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_27]),c_0_72]),c_0_34]) ).
cnf(c_0_131,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_18,c_0_24]) ).
cnf(c_0_132,negated_conjecture,
mult(b,mult(c,ld(b,c))) = mult(c,c),
inference(rw,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_133,negated_conjecture,
( mult(mult(c,c),b) = mult(b,mult(c,c))
| mult(c,mult(c,mult(b,b))) != mult(b,mult(b,mult(c,c))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_121]),c_0_122]),c_0_19]),c_0_48]) ).
cnf(c_0_134,negated_conjecture,
mult(c,mult(c,mult(b,b))) = mult(b,mult(b,mult(c,c))),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_135,negated_conjecture,
ld(rd(X1,c),mult(mult(X1,b),c)) = mult(b,mult(c,c)),
inference(spm,[status(thm)],[c_0_15,c_0_125]) ).
cnf(c_0_136,negated_conjecture,
mult(rd(X1,b),mult(c,mult(b,b))) = mult(mult(X1,c),b),
inference(spm,[status(thm)],[c_0_50,c_0_98]) ).
cnf(c_0_137,negated_conjecture,
mult(b,mult(rd(c,b),mult(b,c))) = mult(c,mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_129]) ).
cnf(c_0_138,negated_conjecture,
ld(mult(X1,b),rd(mult(X1,X2),b)) = ld(b,rd(X2,b)),
inference(spm,[status(thm)],[c_0_15,c_0_130]) ).
cnf(c_0_139,negated_conjecture,
mult(mult(b,c),ld(b,c)) = mult(c,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_81]),c_0_19]),c_0_132]) ).
cnf(c_0_140,negated_conjecture,
mult(mult(c,c),b) = mult(b,mult(c,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134])]) ).
cnf(c_0_141,negated_conjecture,
ld(rd(rd(X1,b),c),mult(X1,c)) = mult(b,mult(c,c)),
inference(spm,[status(thm)],[c_0_135,c_0_27]) ).
cnf(c_0_142,negated_conjecture,
ld(rd(X1,b),mult(mult(X1,c),b)) = mult(c,mult(b,b)),
inference(spm,[status(thm)],[c_0_15,c_0_136]) ).
cnf(c_0_143,negated_conjecture,
ld(b,mult(c,mult(b,c))) = mult(rd(c,b),mult(b,c)),
inference(spm,[status(thm)],[c_0_15,c_0_137]) ).
cnf(c_0_144,negated_conjecture,
ld(ld(b,unit),mult(X1,b)) = mult(mult(b,X1),b),
inference(spm,[status(thm)],[c_0_15,c_0_54]) ).
cnf(c_0_145,negated_conjecture,
ld(mult(rd(X1,X2),b),rd(X1,b)) = ld(b,rd(X2,b)),
inference(spm,[status(thm)],[c_0_138,c_0_27]) ).
cnf(c_0_146,plain,
rd(mult(X1,mult(X2,rd(X2,X3))),rd(X2,X3)) = mult(mult(X1,rd(X2,X3)),X3),
inference(spm,[status(thm)],[c_0_36,c_0_27]) ).
cnf(c_0_147,negated_conjecture,
mult(c,mult(b,c)) = mult(b,mult(c,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_139]),c_0_140]),c_0_24]),c_0_19]) ).
cnf(c_0_148,negated_conjecture,
rd(mult(X1,c),mult(b,mult(c,c))) = rd(rd(X1,b),c),
inference(spm,[status(thm)],[c_0_79,c_0_141]) ).
cnf(c_0_149,negated_conjecture,
( mult(rd(X1,rd(X2,b)),X2) = mult(X1,b)
| mult(rd(rd(X1,rd(X2,b)),b),X2) != X1 ),
inference(spm,[status(thm)],[c_0_100,c_0_27]) ).
cnf(c_0_150,negated_conjecture,
ld(rd(rd(X1,c),b),mult(X1,b)) = mult(c,mult(b,b)),
inference(spm,[status(thm)],[c_0_142,c_0_27]) ).
cnf(c_0_151,negated_conjecture,
ld(b,mult(c,mult(b,c))) = mult(ld(b,c),mult(b,c)),
inference(rw,[status(thm)],[c_0_143,c_0_90]) ).
cnf(c_0_152,negated_conjecture,
ld(ld(b,unit),c) = mult(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_81]),c_0_24]),c_0_19]) ).
cnf(c_0_153,negated_conjecture,
ld(mult(rd(b,X1),b),unit) = ld(b,rd(X1,b)),
inference(spm,[status(thm)],[c_0_145,c_0_72]) ).
cnf(c_0_154,plain,
mult(mult(X1,rd(unit,X2)),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_34]),c_0_20]) ).
cnf(c_0_155,negated_conjecture,
( mult(X1,mult(ld(b,unit),X2)) = mult(rd(X1,b),X2)
| mult(X1,mult(ld(b,unit),X2)) != rd(mult(X1,X2),b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_58]),c_0_58]) ).
cnf(c_0_156,negated_conjecture,
mult(ld(b,unit),mult(b,c)) = c,
inference(rw,[status(thm)],[c_0_66,c_0_81]) ).
cnf(c_0_157,negated_conjecture,
rd(b,mult(b,c)) = rd(unit,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_101]),c_0_72]),c_0_45]),c_0_19]),c_0_72]),c_0_45]),c_0_19]),c_0_72]),c_0_45]),c_0_19]),c_0_72]),c_0_45]),c_0_19])]),c_0_147]),c_0_148]),c_0_72]) ).
cnf(c_0_158,negated_conjecture,
( mult(rd(X1,X2),mult(X2,b)) = mult(X1,b)
| mult(rd(rd(X1,X2),b),mult(X2,b)) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_86]),c_0_20]),c_0_72]),c_0_34]),c_0_20]),c_0_72]),c_0_34]) ).
cnf(c_0_159,negated_conjecture,
mult(rd(X1,b),mult(b,mult(b,c))) = mult(mult(X1,c),b),
inference(rw,[status(thm)],[c_0_136,c_0_116]) ).
cnf(c_0_160,negated_conjecture,
rd(mult(X1,b),mult(c,mult(b,b))) = rd(rd(X1,c),b),
inference(spm,[status(thm)],[c_0_79,c_0_150]) ).
cnf(c_0_161,negated_conjecture,
( mult(mult(X1,X2),b) = mult(X1,mult(X2,b))
| mult(rd(X1,b),mult(X2,b)) != mult(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_86]),c_0_20]),c_0_72]),c_0_34]),c_0_72]),c_0_34]),c_0_20]) ).
cnf(c_0_162,negated_conjecture,
mult(ld(b,c),mult(b,c)) = mult(c,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_147]),c_0_15]) ).
cnf(c_0_163,negated_conjecture,
rd(c,mult(b,c)) = ld(b,unit),
inference(spm,[status(thm)],[c_0_79,c_0_152]) ).
cnf(c_0_164,negated_conjecture,
rd(unit,ld(b,rd(X1,b))) = mult(rd(b,X1),b),
inference(spm,[status(thm)],[c_0_79,c_0_153]) ).
cnf(c_0_165,plain,
mult(X1,rd(unit,X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_154]) ).
cnf(c_0_166,negated_conjecture,
mult(mult(X1,ld(b,X2)),b) = mult(rd(X1,b),mult(X2,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_59]),c_0_58]),c_0_20]),c_0_82]),c_0_58]) ).
cnf(c_0_167,negated_conjecture,
( mult(rd(X1,b),mult(b,c)) = mult(X1,c)
| rd(mult(X1,mult(b,c)),b) != mult(X1,c) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_168,negated_conjecture,
mult(rd(unit,c),mult(b,c)) = b,
inference(spm,[status(thm)],[c_0_27,c_0_157]) ).
cnf(c_0_169,negated_conjecture,
mult(rd(unit,c),mult(b,mult(b,c))) = mult(b,b),
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_158,c_0_157]),c_0_98]),c_0_116]),c_0_98]),c_0_116]),c_0_159]),c_0_27]),c_0_34])]) ).
cnf(c_0_170,negated_conjecture,
rd(mult(X1,b),mult(b,mult(b,c))) = rd(rd(X1,c),b),
inference(rw,[status(thm)],[c_0_160,c_0_116]) ).
cnf(c_0_171,negated_conjecture,
( mult(mult(b,X1),b) = mult(b,mult(X1,b))
| mult(X1,b) != mult(b,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_72]),c_0_34]) ).
cnf(c_0_172,negated_conjecture,
mult(ld(b,rd(X1,b)),b) = mult(ld(b,unit),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_118]),c_0_27]),c_0_72]),c_0_34]) ).
cnf(c_0_173,negated_conjecture,
rd(ld(b,c),c) = ld(b,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_162]),c_0_35]),c_0_147]),c_0_148]),c_0_90]),c_0_81]),c_0_163]) ).
cnf(c_0_174,negated_conjecture,
mult(rd(b,mult(X1,b)),b) = rd(unit,ld(b,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_86]),c_0_20]),c_0_72]),c_0_34]) ).
cnf(c_0_175,plain,
rd(X1,ld(X2,unit)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_165,c_0_79]) ).
cnf(c_0_176,negated_conjecture,
( mult(mult(X1,b),ld(b,X2)) = mult(X1,X2)
| mult(rd(X1,b),mult(X2,b)) != mult(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_166]),c_0_24]),c_0_24]) ).
cnf(c_0_177,negated_conjecture,
mult(rd(rd(unit,c),b),mult(b,c)) = unit,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_27]),c_0_72]),c_0_27])]) ).
cnf(c_0_178,negated_conjecture,
rd(rd(b,c),b) = rd(unit,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_169]),c_0_170]) ).
cnf(c_0_179,negated_conjecture,
( rd(mult(b,mult(X1,b)),b) = mult(b,X1)
| mult(X1,b) != mult(b,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_171]) ).
cnf(c_0_180,negated_conjecture,
rd(mult(ld(b,unit),X1),b) = ld(b,rd(X1,b)),
inference(spm,[status(thm)],[c_0_20,c_0_172]) ).
cnf(c_0_181,negated_conjecture,
mult(ld(b,unit),c) = ld(b,c),
inference(spm,[status(thm)],[c_0_27,c_0_173]) ).
cnf(c_0_182,negated_conjecture,
rd(ld(b,c),b) = rd(c,mult(b,b)),
inference(spm,[status(thm)],[c_0_55,c_0_81]) ).
cnf(c_0_183,negated_conjecture,
rd(rd(unit,ld(b,X1)),b) = rd(b,mult(X1,b)),
inference(spm,[status(thm)],[c_0_20,c_0_174]) ).
cnf(c_0_184,plain,
mult(ld(X1,unit),X1) = unit,
inference(spm,[status(thm)],[c_0_72,c_0_175]) ).
cnf(c_0_185,negated_conjecture,
( mult(b,mult(ld(b,X1),b)) = mult(X1,b)
| mult(ld(b,X1),b) != X1 ),
inference(spm,[status(thm)],[c_0_171,c_0_24]) ).
cnf(c_0_186,negated_conjecture,
( mult(mult(X1,b),ld(b,c)) = mult(X1,c)
| mult(rd(X1,b),mult(b,c)) != mult(X1,c) ),
inference(spm,[status(thm)],[c_0_176,c_0_19]) ).
cnf(c_0_187,negated_conjecture,
rd(rd(unit,c),b) = rd(unit,mult(b,c)),
inference(spm,[status(thm)],[c_0_20,c_0_177]) ).
cnf(c_0_188,negated_conjecture,
mult(rd(unit,c),b) = rd(b,c),
inference(spm,[status(thm)],[c_0_27,c_0_178]) ).
cnf(c_0_189,negated_conjecture,
( mult(mult(b,b),ld(b,X1)) = mult(b,X1)
| mult(X1,b) != mult(b,X1) ),
inference(rw,[status(thm)],[c_0_179,c_0_117]) ).
cnf(c_0_190,negated_conjecture,
ld(b,ld(b,c)) = rd(c,mult(b,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]),c_0_90]) ).
cnf(c_0_191,negated_conjecture,
rd(b,mult(mult(b,X1),b)) = rd(rd(unit,X1),b),
inference(spm,[status(thm)],[c_0_183,c_0_15]) ).
cnf(c_0_192,plain,
rd(unit,X1) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_20,c_0_184]) ).
cnf(c_0_193,negated_conjecture,
( ld(b,mult(X1,b)) = mult(ld(b,X1),b)
| mult(ld(b,X1),b) != X1 ),
inference(spm,[status(thm)],[c_0_15,c_0_185]) ).
cnf(c_0_194,negated_conjecture,
mult(mult(b,rd(X1,b)),b) = ld(ld(b,unit),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_118]),c_0_27]),c_0_72]),c_0_34]) ).
cnf(c_0_195,negated_conjecture,
mult(rd(b,c),ld(b,c)) = unit,
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_186,c_0_187]),c_0_188]),c_0_27]),c_0_27]),c_0_27])]) ).
cnf(c_0_196,negated_conjecture,
mult(mult(b,b),rd(c,mult(b,b))) = c,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_24]),c_0_81]),c_0_24])]) ).
cnf(c_0_197,negated_conjecture,
rd(b,mult(mult(b,X1),b)) = rd(ld(X1,unit),b),
inference(rw,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_198,negated_conjecture,
( ld(b,ld(ld(b,unit),X1)) = X1
| mult(b,rd(X1,b)) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_15]),c_0_27]),c_0_15]),c_0_27]) ).
cnf(c_0_199,negated_conjecture,
mult(mult(X1,rd(b,c)),ld(b,c)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_195]),c_0_34]),c_0_20]) ).
cnf(c_0_200,negated_conjecture,
mult(b,rd(c,mult(b,b))) = ld(b,c),
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_131,c_0_181]),c_0_58]),c_0_182]),c_0_34]),c_0_58]),c_0_90]) ).
cnf(c_0_201,negated_conjecture,
rd(c,mult(b,b)) = ld(mult(b,b),c),
inference(spm,[status(thm)],[c_0_15,c_0_196]) ).
cnf(c_0_202,negated_conjecture,
ld(ld(X1,unit),unit) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_197]),c_0_27]),c_0_72]),c_0_20]),c_0_15]) ).
cnf(c_0_203,negated_conjecture,
( rd(ld(ld(b,unit),X1),X1) = b
| mult(b,rd(X1,b)) != X1 ),
inference(spm,[status(thm)],[c_0_79,c_0_198]) ).
cnf(c_0_204,negated_conjecture,
rd(X1,ld(b,c)) = mult(X1,rd(b,c)),
inference(spm,[status(thm)],[c_0_20,c_0_199]) ).
cnf(c_0_205,negated_conjecture,
ld(ld(b,unit),ld(b,c)) = c,
inference(spm,[status(thm)],[c_0_60,c_0_173]) ).
cnf(c_0_206,negated_conjecture,
mult(b,ld(mult(b,b),c)) = ld(b,c),
inference(rw,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_207,negated_conjecture,
mult(X1,ld(X2,unit)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_175,c_0_202]) ).
cnf(c_0_208,negated_conjecture,
mult(mult(rd(b,c),b),ld(b,c)) = b,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_178]),c_0_27]),c_0_168]),c_0_27])]) ).
cnf(c_0_209,negated_conjecture,
mult(c,rd(b,c)) = b,
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_203,c_0_204]),c_0_205]),c_0_182]),c_0_201]),c_0_206])]) ).
cnf(c_0_210,negated_conjecture,
mult(mult(b,b),ld(b,c)) = mult(b,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_72]),c_0_34])]) ).
cnf(c_0_211,negated_conjecture,
mult(X1,rd(mult(ld(X1,unit),X2),X1)) = rd(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_207]),c_0_34]),c_0_207]) ).
cnf(c_0_212,negated_conjecture,
rd(b,ld(b,c)) = mult(rd(b,c),b),
inference(spm,[status(thm)],[c_0_20,c_0_208]) ).
cnf(c_0_213,negated_conjecture,
rd(b,c) = ld(c,b),
inference(spm,[status(thm)],[c_0_15,c_0_209]) ).
cnf(c_0_214,negated_conjecture,
rd(mult(b,c),ld(b,c)) = mult(b,b),
inference(spm,[status(thm)],[c_0_20,c_0_210]) ).
cnf(c_0_215,negated_conjecture,
rd(mult(ld(X1,unit),X2),X1) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_211]) ).
cnf(c_0_216,negated_conjecture,
ld(X1,rd(X1,X2)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_15,c_0_207]) ).
cnf(c_0_217,negated_conjecture,
( mult(ld(b,unit),mult(b,X1)) = X1
| mult(b,rd(X1,b)) != X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_100]),c_0_27]),c_0_72]),c_0_34]) ).
cnf(c_0_218,negated_conjecture,
mult(ld(c,b),b) = mult(b,ld(c,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_204]),c_0_213]),c_0_213]) ).
cnf(c_0_219,negated_conjecture,
( ld(b,ld(c,X1)) = ld(mult(b,c),X1)
| mult(mult(b,c),ld(c,X1)) != mult(c,mult(ld(c,X1),b)) ),
inference(spm,[status(thm)],[c_0_76,c_0_24]) ).
cnf(c_0_220,negated_conjecture,
mult(mult(b,c),ld(c,b)) = mult(b,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_204]),c_0_213]) ).
cnf(c_0_221,negated_conjecture,
mult(ld(c,b),c) = b,
inference(spm,[status(thm)],[c_0_27,c_0_213]) ).
cnf(c_0_222,negated_conjecture,
mult(ld(X1,rd(X2,X1)),X1) = mult(ld(X1,unit),X2),
inference(spm,[status(thm)],[c_0_27,c_0_215]) ).
cnf(c_0_223,negated_conjecture,
ld(ld(X1,X2),unit) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_216,c_0_79]) ).
cnf(c_0_224,negated_conjecture,
mult(X1,mult(rd(X2,mult(X1,X2)),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_207]),c_0_34]) ).
cnf(c_0_225,negated_conjecture,
( ld(b,rd(mult(b,X1),b)) = rd(X1,b)
| mult(b,rd(X1,b)) != X1 ),
inference(spm,[status(thm)],[c_0_180,c_0_217]) ).
cnf(c_0_226,negated_conjecture,
rd(mult(b,ld(c,b)),b) = ld(c,b),
inference(spm,[status(thm)],[c_0_20,c_0_218]) ).
cnf(c_0_227,negated_conjecture,
rd(ld(c,b),b) = rd(unit,c),
inference(rw,[status(thm)],[c_0_178,c_0_213]) ).
cnf(c_0_228,negated_conjecture,
( ld(b,ld(c,b)) = ld(mult(b,c),b)
| mult(c,mult(b,ld(c,b))) != mult(b,b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_218]) ).
cnf(c_0_229,negated_conjecture,
mult(c,mult(b,ld(c,b))) = mult(b,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_221]),c_0_220]) ).
cnf(c_0_230,negated_conjecture,
mult(ld(X1,unit),mult(X2,X1)) = mult(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_222,c_0_20]) ).
cnf(c_0_231,negated_conjecture,
rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)),
inference(spm,[status(thm)],[c_0_175,c_0_223]) ).
cnf(c_0_232,negated_conjecture,
mult(rd(X1,mult(X2,X1)),X1) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_15,c_0_224]) ).
cnf(c_0_233,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(spm,[status(thm)],[c_0_70,c_0_15]) ).
cnf(c_0_234,negated_conjecture,
mult(b,ld(mult(b,c),unit)) = rd(ld(c,b),b),
inference(spm,[status(thm)],[c_0_31,c_0_72]) ).
cnf(c_0_235,negated_conjecture,
( ld(b,ld(c,b)) = rd(unit,c)
| mult(b,rd(unit,c)) != ld(c,b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_227]) ).
cnf(c_0_236,negated_conjecture,
ld(b,ld(c,b)) = ld(mult(b,c),b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229])]) ).
cnf(c_0_237,negated_conjecture,
( ld(c,mult(X1,b)) = mult(ld(c,X1),b)
| mult(mult(b,c),ld(c,X1)) != mult(c,mult(ld(c,X1),b)) ),
inference(spm,[status(thm)],[c_0_85,c_0_24]) ).
cnf(c_0_238,plain,
ld(mult(mult(X1,X2),X3),mult(X1,mult(mult(X2,X3),X2))) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_239,negated_conjecture,
mult(mult(X1,ld(X2,X3)),X2) = mult(rd(X1,X2),mult(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_230]),c_0_207]),c_0_20]),c_0_231]),c_0_46]),c_0_207]) ).
cnf(c_0_240,negated_conjecture,
ld(rd(X1,X2),X2) = mult(rd(X2,X1),X2),
inference(spm,[status(thm)],[c_0_232,c_0_27]) ).
cnf(c_0_241,negated_conjecture,
( mult(c,rd(ld(c,b),b)) = unit
| mult(mult(b,c),rd(ld(c,b),b)) != b ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_24]),c_0_27]),c_0_24]) ).
cnf(c_0_242,negated_conjecture,
( ld(mult(b,c),b) = rd(unit,c)
| mult(b,rd(unit,c)) != ld(c,b) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_243,negated_conjecture,
( ld(c,mult(b,b)) = mult(b,ld(c,b))
| mult(c,mult(b,ld(c,b))) != mult(b,b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_220]),c_0_218]),c_0_218]) ).
cnf(c_0_244,plain,
ld(mult(mult(X1,X2),ld(X2,X3)),mult(X1,mult(X3,X2))) = X2,
inference(spm,[status(thm)],[c_0_238,c_0_24]) ).
cnf(c_0_245,negated_conjecture,
mult(rd(unit,mult(b,c)),mult(b,mult(b,c))) = b,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_187]),c_0_27]),c_0_34]) ).
cnf(c_0_246,negated_conjecture,
( mult(mult(X1,X2),ld(X2,X3)) = mult(X1,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_84,c_0_239]),c_0_24]),c_0_24]) ).
cnf(c_0_247,negated_conjecture,
mult(rd(X1,X2),mult(rd(X2,X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_24,c_0_240]) ).
cnf(c_0_248,negated_conjecture,
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_215,c_0_60]),c_0_192]),c_0_231]),c_0_46]),c_0_192]),c_0_192]),c_0_231]),c_0_46]) ).
cnf(c_0_249,negated_conjecture,
( mult(c,rd(unit,c)) = unit
| mult(mult(b,c),rd(unit,c)) != b ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_227]),c_0_227]) ).
cnf(c_0_250,negated_conjecture,
( mult(mult(b,c),rd(unit,c)) = b
| mult(b,rd(unit,c)) != ld(c,b) ),
inference(spm,[status(thm)],[c_0_24,c_0_242]) ).
cnf(c_0_251,negated_conjecture,
ld(c,mult(b,b)) = mult(b,ld(c,b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_229])]) ).
cnf(c_0_252,negated_conjecture,
ld(ld(mult(b,c),b),b) = mult(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_27]),c_0_34]) ).
cnf(c_0_253,negated_conjecture,
( rd(mult(X1,X2),X1) = mult(X1,rd(X2,X1))
| mult(X1,rd(X2,X1)) != X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_216]),c_0_207]) ).
cnf(c_0_254,negated_conjecture,
mult(mult(X1,rd(X2,X1)),X1) = ld(ld(X1,unit),X2),
inference(spm,[status(thm)],[c_0_248,c_0_27]) ).
cnf(c_0_255,negated_conjecture,
( mult(c,rd(unit,c)) = unit
| mult(b,rd(unit,c)) != ld(c,b) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_256,negated_conjecture,
mult(b,ld(mult(b,c),b)) = ld(c,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_251]),c_0_226]) ).
cnf(c_0_257,negated_conjecture,
ld(mult(b,c),b) = rd(unit,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_252]),c_0_157]) ).
cnf(c_0_258,negated_conjecture,
( ld(ld(X1,unit),X2) = mult(X1,X2)
| mult(X1,rd(X2,X1)) != X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_253]),c_0_254]) ).
cnf(c_0_259,negated_conjecture,
( mult(mult(X1,c),rd(unit,c)) = X1
| mult(b,rd(unit,c)) != ld(c,b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_255]),c_0_34]),c_0_20]) ).
cnf(c_0_260,negated_conjecture,
( rd(unit,c) = ld(c,unit)
| mult(b,rd(unit,c)) != ld(c,b) ),
inference(spm,[status(thm)],[c_0_15,c_0_255]) ).
cnf(c_0_261,negated_conjecture,
mult(b,rd(unit,c)) = ld(c,b),
inference(rw,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_262,negated_conjecture,
( mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1))
| mult(X1,X2) != mult(X2,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_20]),c_0_248]) ).
cnf(c_0_263,negated_conjecture,
( mult(X1,rd(unit,c)) = rd(X1,c)
| mult(b,rd(unit,c)) != ld(c,b) ),
inference(spm,[status(thm)],[c_0_259,c_0_27]) ).
cnf(c_0_264,negated_conjecture,
rd(unit,c) = ld(c,unit),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_261])]) ).
cnf(c_0_265,negated_conjecture,
( mult(ld(X1,unit),X2) = ld(X1,X2)
| mult(ld(X1,X2),X1) != X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_230]),c_0_207]),c_0_20]),c_0_207]),c_0_20]),c_0_207]),c_0_20]) ).
cnf(c_0_266,negated_conjecture,
mult(X1,ld(c,unit)) = rd(X1,c),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_261])]),c_0_264]) ).
cnf(c_0_267,negated_conjecture,
( mult(ld(X1,unit),mult(X1,X2)) = X2
| mult(X2,X1) != mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_265,c_0_15]) ).
cnf(c_0_268,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_36,c_0_19]),c_0_48]) ).
cnf(c_0_269,negated_conjecture,
( rd(mult(X1,X2),c) = mult(X1,rd(X2,c))
| mult(rd(X1,c),X2) != mult(X1,rd(X2,c)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_266]),c_0_266]),c_0_266]),c_0_266]) ).
cnf(c_0_270,negated_conjecture,
( rd(X1,mult(X2,X1)) = ld(X2,unit)
| mult(X1,X2) != mult(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_267]) ).
cnf(c_0_271,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_268,c_0_269]),c_0_57]),c_0_125]),c_0_57]) ).
cnf(c_0_272,negated_conjecture,
rd(mult(X1,mult(b,c)),b) = mult(mult(X1,b),ld(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_156]),c_0_82]),c_0_58]),c_0_90]),c_0_58]) ).
cnf(c_0_273,negated_conjecture,
mult(rd(X1,X2),mult(rd(X2,c),X2)) = mult(rd(X1,c),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_266]),c_0_266]) ).
cnf(c_0_274,negated_conjecture,
( mult(X1,mult(ld(X1,unit),X2)) = X2
| mult(X2,X1) != mult(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_270]),c_0_20]) ).
cnf(c_0_275,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_20,c_0_271]),c_0_272]) ).
cnf(c_0_276,negated_conjecture,
ld(rd(X1,X2),mult(rd(X1,c),X2)) = mult(rd(X2,c),X2),
inference(spm,[status(thm)],[c_0_15,c_0_273]) ).
cnf(c_0_277,negated_conjecture,
rd(mult(X1,mult(rd(X2,c),X2)),X2) = rd(mult(X1,X2),c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_266]),c_0_266]) ).
cnf(c_0_278,negated_conjecture,
( ld(ld(X1,unit),X2) = mult(X1,X2)
| mult(ld(ld(X1,unit),X2),X1) != mult(X1,ld(ld(X1,unit),X2)) ),
inference(spm,[status(thm)],[c_0_274,c_0_24]) ).
cnf(c_0_279,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_18,c_0_49]),c_0_48]) ).
cnf(c_0_280,negated_conjecture,
( mult(X1,mult(ld(X1,X2),b)) = mult(X2,b)
| mult(rd(X1,b),mult(ld(X1,X2),b)) != X2 ),
inference(spm,[status(thm)],[c_0_158,c_0_79]) ).
cnf(c_0_281,negated_conjecture,
( ld(mult(X1,b),mult(X1,c)) = ld(b,c)
| mult(mult(X1,b),c) != mult(X1,mult(b,c)) ),
inference(spm,[status(thm)],[c_0_15,c_0_275]) ).
cnf(c_0_282,negated_conjecture,
ld(rd(mult(X1,c),X2),mult(X1,X2)) = mult(rd(X2,c),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_72]),c_0_34]),c_0_20]) ).
cnf(c_0_283,negated_conjecture,
mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_248]),c_0_48]),c_0_279]) ).
cnf(c_0_284,negated_conjecture,
mult(mult(X1,c),b) = mult(mult(X1,b),c),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_81]),c_0_20]),c_0_81])]),c_0_49]) ).
cnf(c_0_285,negated_conjecture,
rd(mult(X1,X2),mult(rd(X2,c),X2)) = rd(mult(X1,c),X2),
inference(spm,[status(thm)],[c_0_79,c_0_282]) ).
cnf(c_0_286,negated_conjecture,
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_283,c_0_230]),c_0_207]),c_0_20]),c_0_207]),c_0_20]) ).
cnf(c_0_287,negated_conjecture,
rd(mult(mult(X1,b),c),b) = mult(X1,c),
inference(spm,[status(thm)],[c_0_20,c_0_284]) ).
cnf(c_0_288,negated_conjecture,
rd(mult(rd(X1,X2),c),X2) = rd(X1,mult(rd(X2,c),X2)),
inference(spm,[status(thm)],[c_0_285,c_0_27]) ).
cnf(c_0_289,negated_conjecture,
rd(ld(X1,X2),X2) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_232]) ).
cnf(c_0_290,negated_conjecture,
mult(ld(X1,c),b) = mult(ld(X1,b),c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_286]),c_0_286]) ).
cnf(c_0_291,negated_conjecture,
ld(mult(X1,X2),X1) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_216,c_0_20]) ).
cnf(c_0_292,negated_conjecture,
ld(ld(X1,unit),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_283]),c_0_27]) ).
cnf(c_0_293,negated_conjecture,
rd(mult(X1,c),b) = mult(rd(X1,b),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_118]),c_0_27]),c_0_72]),c_0_34]) ).
cnf(c_0_294,negated_conjecture,
mult(rd(X1,mult(rd(X2,c),X2)),X2) = mult(rd(X1,X2),c),
inference(spm,[status(thm)],[c_0_27,c_0_288]) ).
cnf(c_0_295,negated_conjecture,
rd(X1,mult(X2,X1)) = ld(X2,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_286]),c_0_289]) ).
cnf(c_0_296,negated_conjecture,
mult(ld(mult(c,X1),b),c) = ld(X1,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_286]) ).
cnf(c_0_297,negated_conjecture,
ld(ld(X1,X2),X3) = mult(ld(X2,X1),X3),
inference(spm,[status(thm)],[c_0_292,c_0_223]) ).
cnf(c_0_298,negated_conjecture,
mult(rd(rd(X1,c),b),c) = rd(X1,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_27]),c_0_72]),c_0_34]) ).
cnf(c_0_299,negated_conjecture,
rd(X1,mult(rd(X2,X3),X2)) = mult(X1,ld(X2,rd(X3,X2))),
inference(spm,[status(thm)],[c_0_231,c_0_240]) ).
cnf(c_0_300,negated_conjecture,
ld(b,mult(c,X1)) = mult(c,ld(b,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_231]),c_0_297]),c_0_45]) ).
cnf(c_0_301,negated_conjecture,
ld(rd(rd(X1,c),b),mult(X1,b)) = mult(b,mult(b,c)),
inference(rw,[status(thm)],[c_0_150,c_0_116]) ).
cnf(c_0_302,negated_conjecture,
rd(rd(X1,c),b) = rd(rd(X1,b),c),
inference(spm,[status(thm)],[c_0_20,c_0_298]) ).
cnf(c_0_303,negated_conjecture,
ld(rd(X1,X2),unit) = rd(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_295]),c_0_24]) ).
cnf(c_0_304,negated_conjecture,
mult(b,mult(c,ld(b,X1))) = mult(c,X1),
inference(spm,[status(thm)],[c_0_24,c_0_300]) ).
cnf(c_0_305,negated_conjecture,
ld(rd(rd(X1,b),c),mult(X1,b)) = mult(b,mult(b,c)),
inference(rw,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_306,negated_conjecture,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_286,c_0_303]) ).
cnf(c_0_307,negated_conjecture,
rd(X1,rd(X2,X3)) = mult(X1,rd(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_303]),c_0_46]) ).
cnf(c_0_308,negated_conjecture,
mult(c,rd(b,X1)) = mult(b,rd(c,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_216]),c_0_207]) ).
cnf(c_0_309,negated_conjecture,
mult(mult(b,rd(c,X1)),mult(X1,b)) = mult(b,mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_306]),c_0_307]),c_0_308]) ).
cnf(c_0_310,negated_conjecture,
mult(ld(b,c),mult(mult(b,X1),b)) = mult(mult(c,X1),b),
inference(spm,[status(thm)],[c_0_18,c_0_81]) ).
cnf(c_0_311,negated_conjecture,
mult(mult(rd(X1,c),b),c) = mult(X1,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_294]),c_0_27]),c_0_72]),c_0_34]) ).
cnf(c_0_312,negated_conjecture,
mult(mult(b,mult(c,X1)),ld(X1,b)) = mult(b,mult(b,c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_286]),c_0_175]) ).
cnf(c_0_313,negated_conjecture,
mult(mult(mult(b,c),X1),b) = mult(c,mult(b,mult(X1,b))),
inference(rw,[status(thm)],[c_0_21,c_0_283]) ).
cnf(c_0_314,negated_conjecture,
mult(ld(b,c),mult(b,mult(X1,b))) = mult(mult(c,X1),b),
inference(rw,[status(thm)],[c_0_310,c_0_283]) ).
cnf(c_0_315,negated_conjecture,
mult(c,mult(b,X1)) = mult(b,mult(c,X1)),
inference(spm,[status(thm)],[c_0_304,c_0_15]) ).
cnf(c_0_316,negated_conjecture,
rd(rd(ld(c,X1),b),ld(mult(b,c),rd(X1,b))) = b,
inference(spm,[status(thm)],[c_0_79,c_0_30]) ).
cnf(c_0_317,negated_conjecture,
ld(rd(rd(unit,X1),b),b) = mult(mult(b,X1),b),
inference(spm,[status(thm)],[c_0_60,c_0_191]) ).
cnf(c_0_318,negated_conjecture,
mult(rd(mult(X1,X2),c),X2) = mult(X1,mult(rd(X2,c),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_266]),c_0_266]) ).
cnf(c_0_319,negated_conjecture,
rd(mult(X1,b),c) = mult(rd(X1,c),b),
inference(spm,[status(thm)],[c_0_20,c_0_311]) ).
cnf(c_0_320,negated_conjecture,
mult(mult(b,mult(b,c)),ld(b,X1)) = mult(b,mult(c,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_312]),c_0_231]) ).
cnf(c_0_321,negated_conjecture,
mult(mult(b,b),ld(b,X1)) = mult(b,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_313]),c_0_15]),c_0_117]),c_0_15]) ).
cnf(c_0_322,plain,
mult(rd(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(rw,[status(thm)],[c_0_50,c_0_283]) ).
cnf(c_0_323,negated_conjecture,
mult(b,mult(ld(b,c),mult(X1,b))) = mult(mult(c,X1),b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_304]),c_0_166]),c_0_90]) ).
cnf(c_0_324,negated_conjecture,
mult(mult(c,rd(X1,b)),b) = mult(ld(b,c),mult(b,X1)),
inference(spm,[status(thm)],[c_0_314,c_0_27]) ).
cnf(c_0_325,negated_conjecture,
ld(X1,mult(X2,X1)) = mult(ld(X1,X2),X1),
inference(rw,[status(thm)],[c_0_230,c_0_286]) ).
cnf(c_0_326,negated_conjecture,
mult(mult(mult(b,c),X1),b) = mult(b,mult(c,mult(X1,b))),
inference(rw,[status(thm)],[c_0_313,c_0_315]) ).
cnf(c_0_327,negated_conjecture,
mult(ld(c,unit),mult(mult(c,X1),c)) = mult(X1,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_264]),c_0_34]) ).
cnf(c_0_328,negated_conjecture,
( rd(X1,rd(unit,c)) = mult(X1,c)
| mult(b,rd(unit,c)) != ld(c,b) ),
inference(spm,[status(thm)],[c_0_20,c_0_259]) ).
cnf(c_0_329,negated_conjecture,
mult(rd(ld(c,X1),b),ld(rd(X1,b),mult(b,c))) = b,
inference(rw,[status(thm)],[c_0_316,c_0_231]) ).
cnf(c_0_330,negated_conjecture,
mult(mult(b,ld(X1,unit)),b) = ld(rd(X1,b),b),
inference(spm,[status(thm)],[c_0_317,c_0_79]) ).
cnf(c_0_331,negated_conjecture,
mult(rd(X1,c),mult(b,b)) = mult(X1,mult(b,ld(c,b))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_48]),c_0_213]),c_0_218]) ).
cnf(c_0_332,negated_conjecture,
mult(mult(b,c),mult(X1,b)) = mult(b,mult(mult(c,X1),b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_320]),c_0_283]),c_0_272]),c_0_321]) ).
cnf(c_0_333,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(rd(X1,X3),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_322,c_0_27]) ).
cnf(c_0_334,negated_conjecture,
mult(ld(b,c),mult(b,X1)) = mult(b,mult(ld(b,c),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_27]),c_0_324]) ).
cnf(c_0_335,negated_conjecture,
mult(ld(b,mult(mult(b,c),X1)),b) = mult(c,mult(X1,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_15]) ).
cnf(c_0_336,negated_conjecture,
mult(mult(b,rd(c,X1)),mult(X1,c)) = mult(b,mult(c,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_306]),c_0_307]),c_0_308]) ).
cnf(c_0_337,negated_conjecture,
mult(ld(c,unit),mult(X1,c)) = mult(ld(c,X1),c),
inference(spm,[status(thm)],[c_0_327,c_0_24]) ).
cnf(c_0_338,negated_conjecture,
rd(X1,ld(c,unit)) = mult(X1,c),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_261])]),c_0_264]) ).
cnf(c_0_339,negated_conjecture,
mult(ld(c,b),mult(mult(c,X1),c)) = mult(mult(b,X1),c),
inference(spm,[status(thm)],[c_0_50,c_0_213]) ).
cnf(c_0_340,negated_conjecture,
mult(rd(ld(c,X1),b),mult(rd(b,X1),mult(b,c))) = b,
inference(rw,[status(thm)],[c_0_329,c_0_306]) ).
cnf(c_0_341,negated_conjecture,
ld(rd(X1,b),b) = mult(rd(b,X1),b),
inference(rw,[status(thm)],[c_0_330,c_0_207]) ).
cnf(c_0_342,negated_conjecture,
rd(X1,mult(mult(X1,X2),X1)) = rd(ld(X2,unit),X1),
inference(spm,[status(thm)],[c_0_289,c_0_291]) ).
cnf(c_0_343,negated_conjecture,
rd(ld(X1,unit),X2) = ld(X1,ld(X2,unit)),
inference(spm,[status(thm)],[c_0_207,c_0_286]) ).
cnf(c_0_344,negated_conjecture,
ld(X1,ld(X2,unit)) = ld(mult(X2,X1),unit),
inference(spm,[status(thm)],[c_0_216,c_0_295]) ).
cnf(c_0_345,plain,
rd(mult(X1,mult(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)),
inference(spm,[status(thm)],[c_0_36,c_0_24]) ).
cnf(c_0_346,negated_conjecture,
mult(mult(X1,c),mult(b,ld(c,b))) = mult(X1,mult(b,b)),
inference(spm,[status(thm)],[c_0_331,c_0_20]) ).
cnf(c_0_347,negated_conjecture,
ld(ld(c,b),b) = c,
inference(spm,[status(thm)],[c_0_60,c_0_213]) ).
cnf(c_0_348,negated_conjecture,
mult(b,mult(b,mult(ld(b,c),X1))) = mult(mult(b,c),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_27]),c_0_333]),c_0_90]),c_0_334]) ).
cnf(c_0_349,negated_conjecture,
ld(b,mult(mult(b,c),X1)) = mult(mult(b,c),ld(b,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_335]),c_0_117]),c_0_19]) ).
cnf(c_0_350,negated_conjecture,
mult(mult(b,mult(c,X1)),ld(X1,c)) = mult(b,mult(c,c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_286]),c_0_175]) ).
cnf(c_0_351,negated_conjecture,
mult(mult(b,mult(c,X1)),c) = mult(c,mult(mult(b,X1),c)),
inference(spm,[status(thm)],[c_0_283,c_0_315]) ).
cnf(c_0_352,negated_conjecture,
mult(mult(X1,ld(c,X2)),c) = mult(rd(X1,c),mult(X2,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_337]),c_0_266]),c_0_20]),c_0_338]),c_0_266]) ).
cnf(c_0_353,negated_conjecture,
mult(ld(c,b),mult(c,mult(X1,c))) = mult(mult(b,X1),c),
inference(rw,[status(thm)],[c_0_339,c_0_283]) ).
cnf(c_0_354,negated_conjecture,
mult(rd(b,X1),mult(b,c)) = mult(b,mult(ld(X1,b),c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_340]),c_0_341]),c_0_231]),c_0_283]),c_0_290]) ).
cnf(c_0_355,negated_conjecture,
rd(X1,mult(X1,mult(X2,X1))) = ld(mult(X1,X2),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_283]),c_0_343]),c_0_344]) ).
cnf(c_0_356,negated_conjecture,
mult(mult(X1,mult(b,b)),ld(b,c)) = mult(X1,mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_231]),c_0_347]),c_0_18]),c_0_24]) ).
cnf(c_0_357,negated_conjecture,
mult(mult(b,c),ld(b,X1)) = mult(b,mult(ld(b,c),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_348]),c_0_349]) ).
cnf(c_0_358,negated_conjecture,
mult(mult(b,mult(c,c)),ld(c,X1)) = mult(b,mult(c,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_350]),c_0_231]) ).
cnf(c_0_359,negated_conjecture,
mult(c,mult(ld(c,b),mult(X1,c))) = mult(mult(b,X1),c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_24]),c_0_352]),c_0_213]) ).
cnf(c_0_360,negated_conjecture,
mult(mult(b,rd(X1,c)),c) = mult(ld(c,b),mult(c,X1)),
inference(spm,[status(thm)],[c_0_353,c_0_27]) ).
cnf(c_0_361,negated_conjecture,
ld(mult(b,X1),mult(b,c)) = mult(b,ld(mult(X1,b),c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_286]),c_0_291]),c_0_286]) ).
cnf(c_0_362,negated_conjecture,
mult(rd(X1,b),mult(b,c)) = mult(mult(X1,b),ld(b,c)),
inference(spm,[status(thm)],[c_0_356,c_0_52]) ).
cnf(c_0_363,negated_conjecture,
rd(ld(X1,X2),X2) = ld(X1,unit),
inference(rw,[status(thm)],[c_0_289,c_0_295]) ).
cnf(c_0_364,negated_conjecture,
rd(ld(X1,mult(X2,X3)),X3) = mult(ld(X1,X3),ld(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_286]),c_0_286]) ).
cnf(c_0_365,negated_conjecture,
mult(b,mult(mult(ld(b,c),X1),b)) = mult(c,mult(X1,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_357]),c_0_283]),c_0_293]),c_0_72]),c_0_34]) ).
cnf(c_0_366,negated_conjecture,
rd(ld(ld(X1,unit),X2),X1) = mult(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_254]) ).
cnf(c_0_367,negated_conjecture,
mult(mult(b,c),mult(X1,c)) = mult(c,mult(mult(b,X1),c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_358]),c_0_351]),c_0_57]) ).
cnf(c_0_368,negated_conjecture,
mult(ld(c,b),mult(c,X1)) = mult(c,mult(ld(c,b),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_27]),c_0_360]) ).
cnf(c_0_369,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_207]),c_0_306]),c_0_362]),c_0_286]),c_0_297]) ).
cnf(c_0_370,negated_conjecture,
ld(X1,mult(X2,mult(X3,X2))) = mult(mult(ld(X1,X2),X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_363]),c_0_286]) ).
cnf(c_0_371,negated_conjecture,
rd(ld(X1,ld(X2,X3)),X3) = rd(ld(X1,X3),mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_286]),c_0_344]),c_0_207]) ).
cnf(c_0_372,plain,
mult(mult(X1,mult(mult(X2,X3),X2)),X2) = mult(mult(mult(X1,X2),X3),mult(X2,X2)),
inference(spm,[status(thm)],[c_0_48,c_0_18]) ).
cnf(c_0_373,negated_conjecture,
mult(mult(ld(b,c),X1),b) = mult(c,mult(ld(b,X1),b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_365]),c_0_300]),c_0_325]) ).
cnf(c_0_374,negated_conjecture,
rd(mult(X1,X2),X1) = mult(X1,rd(X2,X1)),
inference(rw,[status(thm)],[c_0_366,c_0_292]) ).
cnf(c_0_375,negated_conjecture,
rd(mult(ld(b,c),X1),b) = mult(c,ld(b,rd(X1,b))),
inference(spm,[status(thm)],[c_0_130,c_0_81]) ).
cnf(c_0_376,negated_conjecture,
mult(c,mult(c,mult(ld(c,b),X1))) = mult(mult(b,c),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_27]),c_0_360]),c_0_368]) ).
cnf(c_0_377,negated_conjecture,
mult(b,mult(mult(ld(b,X1),b),c)) = mult(X1,mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_369]),c_0_283]),c_0_284]),c_0_20]),c_0_19]) ).
cnf(c_0_378,negated_conjecture,
mult(mult(ld(b,c),X1),c) = mult(c,ld(b,mult(X1,c))),
inference(spm,[status(thm)],[c_0_300,c_0_370]) ).
cnf(c_0_379,negated_conjecture,
ld(b,mult(mult(X1,b),c)) = mult(ld(b,mult(X1,c)),b),
inference(spm,[status(thm)],[c_0_325,c_0_284]) ).
cnf(c_0_380,negated_conjecture,
mult(b,mult(c,mult(ld(b,X1),b))) = mult(c,mult(X1,b)),
inference(spm,[status(thm)],[c_0_304,c_0_325]) ).
cnf(c_0_381,plain,
ld(mult(mult(X1,rd(X2,X3)),X3),mult(X1,mult(X2,rd(X2,X3)))) = rd(X2,X3),
inference(spm,[status(thm)],[c_0_238,c_0_27]) ).
cnf(c_0_382,negated_conjecture,
ld(mult(rd(X1,X2),X3),X4) = mult(ld(X3,rd(X2,X1)),X4),
inference(spm,[status(thm)],[c_0_297,c_0_306]) ).
cnf(c_0_383,negated_conjecture,
ld(mult(X1,X2),rd(X1,X3)) = ld(mult(mult(X1,X3),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_344]),c_0_344]),c_0_231]),c_0_46]),c_0_286]),c_0_344]),c_0_207]),c_0_307]),c_0_286]) ).
cnf(c_0_384,negated_conjecture,
mult(mult(c,X1),mult(b,b)) = mult(c,mult(X1,mult(b,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(spm,[status(thm)],[c_0_372,c_0_373]),c_0_283]),c_0_15]),c_0_48]),c_0_290]),c_0_78]),c_0_34]) ).
cnf(c_0_385,negated_conjecture,
( rd(mult(c,X1),b) = mult(c,rd(X1,b))
| mult(mult(b,c),rd(X1,b)) != mult(c,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_70]),c_0_27]) ).
cnf(c_0_386,negated_conjecture,
mult(b,mult(mult(b,c),ld(b,X1))) = mult(mult(b,c),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_326]),c_0_374]),c_0_117]),c_0_19]) ).
cnf(c_0_387,negated_conjecture,
rd(mult(mult(b,c),X1),b) = mult(b,mult(c,rd(X1,b))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_348]),c_0_374]),c_0_375]),c_0_304]) ).
cnf(c_0_388,negated_conjecture,
mult(mult(b,c),mult(ld(b,c),X1)) = mult(c,mult(c,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_24]),c_0_297]) ).
cnf(c_0_389,negated_conjecture,
mult(b,mult(c,mult(c,ld(b,X1)))) = mult(c,mult(c,X1)),
inference(spm,[status(thm)],[c_0_304,c_0_300]) ).
cnf(c_0_390,negated_conjecture,
mult(mult(c,X1),mult(b,c)) = mult(c,mult(mult(X1,b),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_377,c_0_300]),c_0_166]),c_0_90]),c_0_378]),c_0_379]),c_0_380]),c_0_284]) ).
cnf(c_0_391,plain,
mult(ld(mult(mult(X1,X2),X3),X1),mult(X2,mult(X3,rd(X3,X1)))) = rd(X3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_381,c_0_333]),c_0_382]),c_0_383]) ).
cnf(c_0_392,negated_conjecture,
mult(c,mult(ld(c,X1),mult(b,b))) = mult(X1,mult(b,b)),
inference(spm,[status(thm)],[c_0_384,c_0_24]) ).
cnf(c_0_393,negated_conjecture,
( mult(c,mult(b,ld(mult(b,c),X1))) = X1
| mult(mult(b,c),mult(b,ld(mult(b,c),X1))) != mult(X1,b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_33]),c_0_24]),c_0_20]),c_0_24]) ).
cnf(c_0_394,negated_conjecture,
mult(mult(b,c),mult(b,X1)) = mult(b,mult(mult(b,c),X1)),
inference(spm,[status(thm)],[c_0_386,c_0_15]) ).
cnf(c_0_395,negated_conjecture,
rd(mult(c,mult(c,X1)),b) = mult(c,mult(c,rd(X1,b))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_375]),c_0_389]) ).
cnf(c_0_396,negated_conjecture,
mult(c,mult(mult(ld(c,X1),b),c)) = mult(X1,mult(b,c)),
inference(spm,[status(thm)],[c_0_390,c_0_24]) ).
cnf(c_0_397,negated_conjecture,
mult(X1,mult(ld(X1,X2),X1)) = mult(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_283]),c_0_72]),c_0_34]) ).
cnf(c_0_398,negated_conjecture,
ld(X1,mult(mult(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_391]),c_0_345]),c_0_60]),c_0_333]),c_0_297]),c_0_45]) ).
cnf(c_0_399,negated_conjecture,
rd(ld(c,mult(X1,mult(b,b))),b) = mult(b,ld(mult(b,c),mult(X1,b))),
inference(spm,[status(thm)],[c_0_33,c_0_48]) ).
cnf(c_0_400,negated_conjecture,
ld(c,mult(X1,mult(b,b))) = mult(ld(c,X1),mult(b,b)),
inference(spm,[status(thm)],[c_0_15,c_0_392]) ).
cnf(c_0_401,negated_conjecture,
( mult(mult(c,X1),b) = mult(mult(b,c),X1)
| mult(mult(b,c),X1) = mult(c,mult(b,X1)) ),
inference(spm,[status(thm)],[c_0_49,c_0_19]) ).
cnf(c_0_402,negated_conjecture,
( mult(b,mult(c,ld(mult(b,c),X1))) = X1
| mult(b,X1) != mult(X1,b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_315]),c_0_394]),c_0_24]) ).
cnf(c_0_403,negated_conjecture,
mult(mult(b,c),mult(c,X1)) = mult(c,mult(mult(b,c),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_368]),c_0_376]) ).
cnf(c_0_404,negated_conjecture,
rd(mult(c,mult(X1,mult(b,c))),b) = mult(c,mult(X1,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_293]),c_0_20]),c_0_397]) ).
cnf(c_0_405,negated_conjecture,
ld(X1,mult(mult(X2,X1),X3)) = mult(ld(X1,X2),mult(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_397]),c_0_20]) ).
cnf(c_0_406,negated_conjecture,
mult(b,ld(mult(b,c),mult(X1,b))) = mult(ld(c,X1),b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_400]),c_0_345]),c_0_78]),c_0_45]) ).
cnf(c_0_407,negated_conjecture,
( mult(mult(b,c),X1) = mult(b,mult(c,X1))
| mult(mult(c,X1),b) = mult(mult(b,c),X1) ),
inference(rw,[status(thm)],[c_0_401,c_0_315]) ).
cnf(c_0_408,negated_conjecture,
( mult(mult(b,c),X1) = mult(b,mult(c,X1))
| mult(b,X1) != mult(X1,b) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_402]),c_0_403]),c_0_24]) ).
cnf(c_0_409,negated_conjecture,
mult(mult(c,mult(X1,c)),b) = mult(c,mult(X1,mult(b,c))),
inference(spm,[status(thm)],[c_0_27,c_0_404]) ).
cnf(c_0_410,negated_conjecture,
mult(mult(X1,X2),ld(X1,X3)) = mult(X1,mult(rd(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_207]),c_0_297]),c_0_46]),c_0_297]),c_0_46]),c_0_286]) ).
cnf(c_0_411,negated_conjecture,
mult(mult(b,c),X1) = mult(b,mult(c,X1)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_15]),c_0_15]),c_0_408]) ).
cnf(c_0_412,negated_conjecture,
mult(c,mult(ld(c,X1),mult(b,c))) = mult(mult(X1,b),c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_397]),c_0_284]) ).
cnf(c_0_413,negated_conjecture,
mult(b,mult(ld(b,c),X1)) = mult(c,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_304]),c_0_90]) ).
cnf(c_0_414,negated_conjecture,
mult(ld(c,mult(X1,b)),c) = mult(ld(c,X1),mult(b,c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_412]),c_0_325]) ).
cnf(c_0_415,negated_conjecture,
mult(mult(c,X1),b) = mult(c,mult(X1,b)),
inference(rw,[status(thm)],[c_0_323,c_0_413]) ).
cnf(c_0_416,negated_conjecture,
mult(mult(X1,b),c) = mult(X1,mult(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_15]),c_0_15]) ).
cnf(c_0_417,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_416])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP746+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 02:07:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.49/0.56 start to proof: theBenchmark
% 16.42/16.48 % Version : CSE_E---1.5
% 16.42/16.48 % Problem : theBenchmark.p
% 16.42/16.48 % Proof found
% 16.42/16.48 % SZS status Theorem for theBenchmark.p
% 16.42/16.48 % SZS output start Proof
% See solution above
% 16.42/16.50 % Total time : 15.912000 s
% 16.42/16.50 % SZS output end Proof
% 16.42/16.50 % Total time : 15.916000 s
%------------------------------------------------------------------------------