TSTP Solution File: GRP692-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP692-1 : 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 : n022.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 00:23:10 EDT 2023
% Result : Unsatisfiable 40.85s 40.90s
% Output : CNFRefutation 40.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 25
% Syntax : Number of formulae : 616 ( 605 unt; 11 typ; 0 def)
% Number of atoms : 605 ( 604 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 908 ( 0 sgn; 0 !; 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,
i: $i > $i ).
tff(decl_27,type,
op_c: $i ).
tff(decl_28,type,
op_d: $i ).
tff(decl_29,type,
op_e: $i ).
tff(decl_30,type,
op_f: $i ).
tff(decl_31,type,
a: $i ).
tff(decl_32,type,
b: $i ).
cnf(c02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c10,axiom,
mult(X1,i(X1)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
cnf(c08,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c09,axiom,
mult(i(X1),X1) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c07,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c13,axiom,
mult(op_e,op_e) = op_f,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).
cnf(c12,axiom,
mult(op_d,op_d) = op_e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).
cnf(c11,axiom,
mult(op_c,mult(op_c,op_c)) = op_d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
cnf(goals,negated_conjecture,
mult(op_e,mult(a,mult(b,op_e))) != mult(mult(mult(op_e,a),b),op_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_0_14,axiom,
ld(X1,mult(X1,X2)) = X2,
c02 ).
cnf(c_0_15,axiom,
mult(X1,i(X1)) = unit,
c10 ).
cnf(c_0_16,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
c08 ).
cnf(c_0_17,axiom,
mult(i(X1),X1) = unit,
c09 ).
cnf(c_0_18,plain,
i(X1) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
c07 ).
cnf(c_0_20,axiom,
mult(X1,ld(X1,X2)) = X2,
c01 ).
cnf(c_0_21,axiom,
rd(mult(X1,X2),X2) = X1,
c04 ).
cnf(c_0_22,plain,
ld(mult(X1,X2),mult(mult(X1,X3),X2)) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_23,plain,
mult(ld(X1,unit),X1) = unit,
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_25,plain,
mult(rd(mult(X1,X2),X1),X3) = mult(X1,mult(X2,ld(X1,X3))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_27,plain,
ld(mult(ld(X1,unit),X2),X2) = ld(X2,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_28,axiom,
mult(X1,unit) = X1,
c05 ).
cnf(c_0_29,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_30,plain,
rd(mult(X1,mult(X2,ld(X1,X3))),X3) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_21,c_0_25]) ).
cnf(c_0_31,plain,
rd(X1,ld(X1,mult(X2,X1))) = mult(ld(X2,unit),X1),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,axiom,
mult(rd(X1,X2),X2) = X1,
c03 ).
cnf(c_0_33,plain,
ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_27]),c_0_28]),c_0_29]),c_0_28]) ).
cnf(c_0_34,plain,
rd(mult(X1,ld(ld(X1,X2),unit)),X1) = rd(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_23]),c_0_28]) ).
cnf(c_0_35,plain,
mult(ld(rd(X1,X2),unit),X2) = rd(X2,ld(X2,X1)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
mult(X1,ld(mult(X2,X1),X1)) = mult(ld(X2,unit),X1),
inference(spm,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_37,plain,
mult(X1,ld(ld(X1,X2),unit)) = mult(rd(X1,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_38,plain,
ld(X1,rd(X1,ld(X1,X2))) = ld(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_35]),c_0_32]) ).
cnf(c_0_39,plain,
mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_40,plain,
ld(X1,mult(rd(X1,X2),X1)) = ld(ld(X1,X2),unit),
inference(spm,[status(thm)],[c_0_14,c_0_37]) ).
cnf(c_0_41,plain,
ld(ld(X1,unit),unit) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_42,plain,
rd(X1,ld(X1,X2)) = mult(X1,ld(X2,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_38]) ).
cnf(c_0_43,plain,
rd(mult(X1,ld(X2,X1)),X1) = ld(rd(X2,X1),unit),
inference(spm,[status(thm)],[c_0_21,c_0_39]) ).
cnf(c_0_44,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_32]) ).
cnf(c_0_45,plain,
mult(rd(X1,mult(rd(X1,X2),X1)),X1) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_40]),c_0_41]),c_0_20]) ).
cnf(c_0_46,plain,
mult(mult(X1,ld(X2,X1)),ld(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_42]) ).
cnf(c_0_47,plain,
ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
rd(X1,mult(rd(X1,X2),X1)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_21,c_0_45]) ).
cnf(c_0_49,plain,
mult(X1,mult(X2,ld(X1,rd(rd(X1,X2),X1)))) = unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_24]),c_0_29]),c_0_25]) ).
cnf(c_0_50,plain,
ld(rd(X1,X2),X2) = mult(rd(X2,X1),X2),
inference(spm,[status(thm)],[c_0_44,c_0_48]) ).
cnf(c_0_51,plain,
mult(X1,ld(X2,rd(rd(X2,X1),X2))) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_14,c_0_49]) ).
cnf(c_0_52,plain,
mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))),
inference(spm,[status(thm)],[c_0_16,c_0_32]) ).
cnf(c_0_53,plain,
mult(rd(X1,mult(X2,X1)),X1) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_50,c_0_21]) ).
cnf(c_0_54,plain,
ld(X1,rd(rd(X1,X2),X1)) = ld(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_14,c_0_51]) ).
cnf(c_0_55,plain,
rd(mult(X1,ld(X2,mult(X3,X2))),X2) = mult(rd(X1,X2),X3),
inference(spm,[status(thm)],[c_0_21,c_0_52]) ).
cnf(c_0_56,plain,
rd(unit,X1) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_57,plain,
ld(ld(X1,mult(X2,X1)),unit) = ld(X1,ld(X2,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_53]) ).
cnf(c_0_58,plain,
ld(ld(X1,X2),ld(X2,unit)) = ld(X2,rd(X1,X2)),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_59,plain,
mult(rd(ld(X1,ld(X2,X1)),X1),X2) = ld(X1,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_23]),c_0_56]),c_0_57]) ).
cnf(c_0_60,plain,
mult(ld(X1,X2),ld(X2,rd(X1,X2))) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_20,c_0_58]) ).
cnf(c_0_61,plain,
rd(ld(X1,ld(X2,X1)),X1) = rd(ld(X1,unit),X2),
inference(spm,[status(thm)],[c_0_21,c_0_59]) ).
cnf(c_0_62,plain,
mult(ld(mult(X1,X2),X2),ld(X2,X1)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_60,c_0_21]) ).
cnf(c_0_63,plain,
mult(mult(ld(X1,unit),X2),X1) = ld(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_23]),c_0_24]) ).
cnf(c_0_64,plain,
mult(rd(ld(X1,unit),X2),X1) = ld(X1,ld(X2,X1)),
inference(spm,[status(thm)],[c_0_32,c_0_61]) ).
cnf(c_0_65,plain,
rd(ld(X1,unit),ld(X1,X2)) = ld(mult(X2,X1),X1),
inference(spm,[status(thm)],[c_0_21,c_0_62]) ).
cnf(c_0_66,plain,
mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_67,plain,
rd(ld(X1,mult(X2,X1)),X1) = mult(ld(X1,unit),X2),
inference(spm,[status(thm)],[c_0_21,c_0_63]) ).
cnf(c_0_68,plain,
ld(X1,ld(ld(X1,X2),X1)) = mult(ld(mult(X2,X1),X1),X1),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_66,c_0_14]) ).
cnf(c_0_70,plain,
mult(ld(X1,unit),rd(X2,X1)) = rd(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_67,c_0_32]) ).
cnf(c_0_71,plain,
mult(X1,mult(ld(mult(X2,X1),X1),X1)) = ld(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_20,c_0_68]) ).
cnf(c_0_72,plain,
mult(X1,mult(ld(X1,mult(X2,X1)),X3)) = mult(X2,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_69,c_0_21]) ).
cnf(c_0_73,plain,
rd(rd(ld(X1,X2),X1),rd(X2,X1)) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_21,c_0_70]) ).
cnf(c_0_74,plain,
ld(ld(X1,ld(X2,unit)),X1) = mult(X2,mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_27]),c_0_72]) ).
cnf(c_0_75,plain,
rd(mult(X1,mult(X2,X3)),mult(X1,X3)) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_30,c_0_14]) ).
cnf(c_0_76,plain,
ld(X1,ld(ld(X2,ld(X1,unit)),X1)) = mult(X2,X1),
inference(spm,[status(thm)],[c_0_64,c_0_26]) ).
cnf(c_0_77,plain,
rd(rd(X1,ld(X1,unit)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_41]),c_0_26]),c_0_41]) ).
cnf(c_0_78,plain,
ld(ld(X1,X2),X1) = mult(ld(X2,unit),mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_74]),c_0_28]),c_0_28]),c_0_29]) ).
cnf(c_0_79,plain,
rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1),
inference(spm,[status(thm)],[c_0_75,c_0_20]) ).
cnf(c_0_80,plain,
ld(ld(X1,ld(X2,unit)),X2) = mult(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_76]) ).
cnf(c_0_81,plain,
rd(X1,ld(X1,unit)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_32,c_0_77]) ).
cnf(c_0_82,plain,
rd(X1,mult(ld(X2,unit),mult(X1,X1))) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_78]) ).
cnf(c_0_83,axiom,
mult(op_e,op_e) = op_f,
c13 ).
cnf(c_0_84,axiom,
mult(op_d,op_d) = op_e,
c12 ).
cnf(c_0_85,plain,
ld(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_44,c_0_79]) ).
cnf(c_0_86,plain,
ld(ld(X1,ld(X2,X1)),unit) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_26]) ).
cnf(c_0_87,plain,
ld(ld(X1,rd(X2,X1)),X1) = mult(X1,mult(ld(X2,X1),X1)),
inference(spm,[status(thm)],[c_0_80,c_0_58]) ).
cnf(c_0_88,plain,
ld(X1,mult(ld(X2,X3),X1)) = ld(mult(X2,X1),mult(X3,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_89,plain,
rd(ld(X1,unit),rd(X1,X2)) = rd(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_61,c_0_44]) ).
cnf(c_0_90,plain,
mult(X1,mult(X2,ld(X1,unit))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_91,plain,
mult(mult(X1,X1),ld(X1,unit)) = X1,
inference(spm,[status(thm)],[c_0_32,c_0_81]) ).
cnf(c_0_92,plain,
rd(op_e,mult(ld(X1,unit),op_f)) = ld(op_e,X1),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_93,plain,
rd(op_d,mult(ld(X1,unit),op_e)) = ld(op_d,X1),
inference(spm,[status(thm)],[c_0_82,c_0_84]) ).
cnf(c_0_94,plain,
ld(rd(mult(X1,X2),X1),X3) = mult(X1,ld(X2,ld(X1,X3))),
inference(spm,[status(thm)],[c_0_85,c_0_20]) ).
cnf(c_0_95,plain,
ld(mult(ld(X1,X2),X2),unit) = ld(mult(X2,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_14]),c_0_88]),c_0_32]) ).
cnf(c_0_96,plain,
mult(rd(ld(X1,X2),X1),rd(X1,X2)) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_32,c_0_89]) ).
cnf(c_0_97,plain,
rd(mult(X1,mult(X1,X1)),X1) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,plain,
ld(op_e,ld(X1,unit)) = rd(op_e,mult(X1,op_f)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_44]),c_0_56]) ).
cnf(c_0_99,plain,
ld(op_d,ld(X1,unit)) = rd(op_d,mult(X1,op_e)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_44]),c_0_56]) ).
cnf(c_0_100,plain,
mult(X1,ld(ld(X1,X2),ld(X1,X3))) = ld(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_94,c_0_20]) ).
cnf(c_0_101,plain,
ld(mult(rd(X1,X2),X3),mult(X1,X3)) = ld(X3,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_22,c_0_32]) ).
cnf(c_0_102,plain,
ld(mult(X1,X1),rd(X1,X2)) = ld(mult(X2,X1),unit),
inference(spm,[status(thm)],[c_0_95,c_0_44]) ).
cnf(c_0_103,plain,
mult(rd(X1,X2),rd(X2,mult(X2,X1))) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_96,c_0_14]) ).
cnf(c_0_104,plain,
mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_32,c_0_97]) ).
cnf(c_0_105,plain,
mult(op_e,rd(op_e,mult(X1,op_f))) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_20,c_0_98]) ).
cnf(c_0_106,plain,
mult(op_d,rd(op_d,mult(X1,op_e))) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_20,c_0_99]) ).
cnf(c_0_107,plain,
ld(ld(X1,X2),ld(X1,X3)) = ld(X1,ld(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_14,c_0_100]) ).
cnf(c_0_108,plain,
rd(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_26,c_0_101]) ).
cnf(c_0_109,plain,
mult(mult(X1,X1),ld(mult(X2,X1),unit)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_20,c_0_102]) ).
cnf(c_0_110,plain,
ld(rd(X1,X2),ld(X2,unit)) = rd(X2,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_103]) ).
cnf(c_0_111,plain,
ld(mult(X1,X1),X1) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_44,c_0_81]) ).
cnf(c_0_112,plain,
mult(rd(X1,mult(X1,X2)),X1) = mult(X1,ld(X2,unit)),
inference(spm,[status(thm)],[c_0_37,c_0_14]) ).
cnf(c_0_113,plain,
ld(op_e,rd(op_d,X1)) = ld(mult(X1,op_d),unit),
inference(spm,[status(thm)],[c_0_102,c_0_84]) ).
cnf(c_0_114,plain,
mult(mult(X1,mult(X2,X2)),X2) = mult(mult(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_104]),c_0_14]) ).
cnf(c_0_115,plain,
ld(rd(X1,op_f),unit) = mult(op_e,rd(op_e,X1)),
inference(spm,[status(thm)],[c_0_105,c_0_32]) ).
cnf(c_0_116,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_14,c_0_28]) ).
cnf(c_0_117,plain,
rd(X1,unit) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_32]) ).
cnf(c_0_118,plain,
ld(rd(X1,op_e),unit) = mult(op_d,rd(op_d,X1)),
inference(spm,[status(thm)],[c_0_106,c_0_32]) ).
cnf(c_0_119,plain,
ld(X1,ld(rd(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_107,c_0_14]) ).
cnf(c_0_120,plain,
rd(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,rd(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_108,c_0_32]) ).
cnf(c_0_121,plain,
rd(X1,rd(X2,X1)) = mult(mult(X1,X1),ld(X2,unit)),
inference(spm,[status(thm)],[c_0_109,c_0_32]) ).
cnf(c_0_122,plain,
ld(X1,ld(X2,unit)) = rd(X2,mult(X2,mult(X1,X2))),
inference(spm,[status(thm)],[c_0_110,c_0_21]) ).
cnf(c_0_123,plain,
ld(op_d,unit) = ld(op_e,op_d),
inference(spm,[status(thm)],[c_0_111,c_0_84]) ).
cnf(c_0_124,plain,
rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_48,c_0_112]) ).
cnf(c_0_125,plain,
mult(op_e,ld(mult(X1,op_d),unit)) = rd(op_d,X1),
inference(spm,[status(thm)],[c_0_20,c_0_113]) ).
cnf(c_0_126,plain,
mult(mult(X1,mult(ld(X1,X2),X1)),X1) = mult(X2,mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_69]),c_0_32]) ).
cnf(c_0_127,plain,
ld(mult(op_e,rd(op_e,X1)),unit) = rd(X1,op_f),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_115]),c_0_116]),c_0_117]),c_0_29]) ).
cnf(c_0_128,plain,
ld(mult(op_d,rd(op_d,X1)),unit) = rd(X1,op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_118]),c_0_116]),c_0_117]),c_0_29]) ).
cnf(c_0_129,plain,
ld(rd(X1,X2),mult(X2,X3)) = mult(X2,ld(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_20,c_0_119]) ).
cnf(c_0_130,plain,
rd(op_e,ld(op_d,X1)) = mult(mult(op_e,ld(X1,unit)),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_84]),c_0_121]),c_0_84]) ).
cnf(c_0_131,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)),
inference(spm,[status(thm)],[c_0_16,c_0_32]) ).
cnf(c_0_132,plain,
ld(X1,ld(op_e,op_d)) = rd(op_d,mult(op_d,mult(X1,op_d))),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_133,plain,
rd(op_e,rd(op_d,X1)) = rd(mult(op_e,mult(X1,op_d)),op_e),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_134,plain,
mult(mult(X1,mult(X2,X1)),X1) = mult(mult(X1,X2),mult(X1,X1)),
inference(spm,[status(thm)],[c_0_126,c_0_14]) ).
cnf(c_0_135,plain,
rd(ld(X1,op_e),op_f) = ld(mult(op_e,X1),unit),
inference(spm,[status(thm)],[c_0_127,c_0_26]) ).
cnf(c_0_136,plain,
rd(ld(X1,op_d),op_e) = ld(mult(op_d,X1),unit),
inference(spm,[status(thm)],[c_0_128,c_0_26]) ).
cnf(c_0_137,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_14,c_0_90]) ).
cnf(c_0_138,plain,
mult(ld(X1,unit),mult(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_97]),c_0_14]),c_0_21]) ).
cnf(c_0_139,plain,
rd(X1,mult(X1,X1)) = ld(X1,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_97]),c_0_14]),c_0_21]) ).
cnf(c_0_140,plain,
ld(rd(X1,op_e),op_f) = mult(op_e,mult(ld(X1,unit),op_f)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_83]),c_0_78]),c_0_83]) ).
cnf(c_0_141,plain,
rd(mult(op_e,mult(mult(op_d,X1),op_e)),op_e) = mult(mult(op_e,op_d),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_130,c_0_54]),c_0_123]),c_0_47]),c_0_131]),c_0_14]),c_0_132]),c_0_133]),c_0_134]),c_0_84]) ).
cnf(c_0_142,plain,
mult(ld(mult(op_e,X1),unit),op_f) = ld(X1,op_e),
inference(spm,[status(thm)],[c_0_32,c_0_135]) ).
cnf(c_0_143,plain,
mult(ld(mult(op_d,X1),unit),op_e) = ld(X1,op_d),
inference(spm,[status(thm)],[c_0_32,c_0_136]) ).
cnf(c_0_144,plain,
ld(ld(X1,unit),mult(X1,X1)) = mult(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_81]),c_0_41]),c_0_104]) ).
cnf(c_0_145,plain,
rd(op_d,op_e) = ld(op_e,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_84]),c_0_123]) ).
cnf(c_0_146,plain,
rd(mult(op_d,op_e),op_d) = op_e,
inference(spm,[status(thm)],[c_0_97,c_0_84]) ).
cnf(c_0_147,plain,
mult(rd(rd(X1,X2),rd(X3,X2)),X2) = rd(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_120,c_0_32]) ).
cnf(c_0_148,plain,
ld(mult(mult(op_e,op_d),X1),op_f) = ld(X1,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_36]),c_0_143]) ).
cnf(c_0_149,plain,
rd(rd(X1,X2),rd(mult(X2,X1),X2)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_73,c_0_14]) ).
cnf(c_0_150,plain,
rd(mult(X1,X1),mult(X1,mult(X1,X1))) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_26,c_0_144]) ).
cnf(c_0_151,axiom,
mult(op_c,mult(op_c,op_c)) = op_d,
c11 ).
cnf(c_0_152,plain,
ld(op_f,op_e) = ld(op_e,unit),
inference(spm,[status(thm)],[c_0_111,c_0_83]) ).
cnf(c_0_153,plain,
mult(ld(op_e,op_d),op_e) = op_d,
inference(spm,[status(thm)],[c_0_32,c_0_145]) ).
cnf(c_0_154,plain,
ld(ld(op_e,op_d),unit) = op_d,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_123]),c_0_56]) ).
cnf(c_0_155,plain,
mult(op_d,op_e) = mult(op_e,op_d),
inference(spm,[status(thm)],[c_0_32,c_0_146]) ).
cnf(c_0_156,plain,
rd(rd(X1,ld(X2,X3)),X2) = rd(rd(X1,X2),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_21,c_0_147]) ).
cnf(c_0_157,plain,
rd(op_f,ld(X1,op_d)) = mult(mult(op_e,op_d),X1),
inference(spm,[status(thm)],[c_0_26,c_0_148]) ).
cnf(c_0_158,plain,
mult(X1,ld(mult(X1,X1),unit)) = ld(X1,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_104]),c_0_21]),c_0_111]) ).
cnf(c_0_159,plain,
rd(ld(X1,unit),X1) = ld(mult(X1,X1),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_104]),c_0_139]),c_0_21]) ).
cnf(c_0_160,plain,
rd(mult(op_c,op_c),op_d) = ld(op_c,unit),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_161,plain,
mult(op_f,ld(op_e,unit)) = op_e,
inference(spm,[status(thm)],[c_0_20,c_0_152]) ).
cnf(c_0_162,plain,
ld(ld(op_e,op_d),op_e) = mult(op_e,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_153]),c_0_26]),c_0_154]) ).
cnf(c_0_163,plain,
rd(rd(op_e,ld(op_e,op_d)),op_e) = op_d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_153]),c_0_26]),c_0_154]) ).
cnf(c_0_164,plain,
mult(mult(X1,op_d),op_e) = mult(mult(X1,op_e),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_155]),c_0_14]) ).
cnf(c_0_165,plain,
ld(ld(mult(X1,X1),X2),unit) = mult(ld(X2,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_95]),c_0_116]),c_0_117]),c_0_29]) ).
cnf(c_0_166,plain,
rd(rd(op_f,X1),rd(op_d,X1)) = mult(op_e,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_21]) ).
cnf(c_0_167,plain,
rd(mult(op_e,op_d),op_e) = op_d,
inference(spm,[status(thm)],[c_0_21,c_0_155]) ).
cnf(c_0_168,plain,
mult(X1,ld(mult(X2,X1),mult(X3,X1))) = mult(ld(X2,X3),X1),
inference(spm,[status(thm)],[c_0_20,c_0_88]) ).
cnf(c_0_169,plain,
rd(ld(X1,unit),ld(mult(X1,X1),unit)) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_158]) ).
cnf(c_0_170,plain,
ld(ld(mult(X1,X1),unit),ld(X1,unit)) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_159]) ).
cnf(c_0_171,plain,
mult(ld(op_c,unit),op_d) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_32,c_0_160]) ).
cnf(c_0_172,plain,
rd(mult(op_e,op_f),op_e) = op_f,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_161]),c_0_83]) ).
cnf(c_0_173,plain,
mult(ld(op_e,op_d),mult(op_e,op_d)) = op_e,
inference(spm,[status(thm)],[c_0_20,c_0_162]) ).
cnf(c_0_174,plain,
rd(op_e,ld(op_e,op_d)) = mult(op_e,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_163]),c_0_155]) ).
cnf(c_0_175,plain,
mult(mult(op_e,op_d),op_d) = op_f,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_84]),c_0_83]),c_0_155]) ).
cnf(c_0_176,plain,
ld(op_e,op_f) = op_e,
inference(spm,[status(thm)],[c_0_14,c_0_83]) ).
cnf(c_0_177,plain,
ld(ld(op_f,X1),unit) = mult(ld(X1,op_e),op_e),
inference(spm,[status(thm)],[c_0_165,c_0_83]) ).
cnf(c_0_178,plain,
rd(op_f,op_e) = op_e,
inference(spm,[status(thm)],[c_0_21,c_0_83]) ).
cnf(c_0_179,plain,
rd(X1,rd(op_d,ld(X1,op_f))) = mult(op_e,op_d),
inference(spm,[status(thm)],[c_0_166,c_0_26]) ).
cnf(c_0_180,plain,
mult(op_d,ld(op_e,unit)) = ld(op_e,op_d),
inference(spm,[status(thm)],[c_0_137,c_0_167]) ).
cnf(c_0_181,plain,
mult(ld(op_e,unit),op_d) = ld(op_e,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_155]),c_0_14]),c_0_145]) ).
cnf(c_0_182,plain,
mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))),
inference(spm,[status(thm)],[c_0_168,c_0_32]) ).
cnf(c_0_183,plain,
mult(X1,ld(ld(X2,X1),ld(X1,X3))) = ld(ld(rd(X2,X1),unit),X3),
inference(spm,[status(thm)],[c_0_94,c_0_43]) ).
cnf(c_0_184,plain,
ld(op_c,op_d) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_14,c_0_151]) ).
cnf(c_0_185,plain,
ld(ld(X1,X2),mult(X2,X2)) = ld(X2,mult(mult(X1,X2),X2)),
inference(spm,[status(thm)],[c_0_101,c_0_53]) ).
cnf(c_0_186,plain,
mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_168,c_0_32]) ).
cnf(c_0_187,plain,
rd(X1,ld(mult(X1,X1),unit)) = mult(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_169]),c_0_41]),c_0_104]),c_0_170]) ).
cnf(c_0_188,plain,
ld(op_c,mult(op_d,op_c)) = op_d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_171]),c_0_104]),c_0_151]) ).
cnf(c_0_189,plain,
mult(op_f,op_e) = mult(op_e,op_f),
inference(spm,[status(thm)],[c_0_32,c_0_172]) ).
cnf(c_0_190,plain,
ld(ld(op_e,op_d),mult(op_e,op_d)) = op_f,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_173]),c_0_174]),c_0_154]),c_0_175]) ).
cnf(c_0_191,plain,
rd(mult(X1,rd(X2,ld(X1,unit))),X1) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_90,c_0_32]) ).
cnf(c_0_192,plain,
rd(mult(op_e,mult(X1,op_e)),op_f) = rd(mult(op_e,X1),op_e),
inference(spm,[status(thm)],[c_0_30,c_0_176]) ).
cnf(c_0_193,plain,
mult(ld(ld(X1,op_f),op_e),op_e) = ld(op_f,mult(X1,op_f)),
inference(spm,[status(thm)],[c_0_86,c_0_177]) ).
cnf(c_0_194,plain,
rd(mult(X1,ld(X2,X3)),X2) = mult(rd(X1,X2),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_55,c_0_32]) ).
cnf(c_0_195,plain,
rd(op_e,op_f) = ld(op_e,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_172]),c_0_14]),c_0_178]) ).
cnf(c_0_196,plain,
rd(op_d,ld(X1,op_f)) = ld(mult(op_e,op_d),X1),
inference(spm,[status(thm)],[c_0_44,c_0_179]) ).
cnf(c_0_197,plain,
rd(ld(op_e,op_d),ld(op_e,unit)) = op_d,
inference(spm,[status(thm)],[c_0_21,c_0_180]) ).
cnf(c_0_198,plain,
ld(ld(op_e,unit),ld(op_e,op_d)) = op_d,
inference(spm,[status(thm)],[c_0_14,c_0_181]) ).
cnf(c_0_199,plain,
rd(mult(mult(X1,X2),ld(X2,X3)),X2) = mult(X1,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_21,c_0_131]) ).
cnf(c_0_200,plain,
mult(mult(op_d,rd(op_d,X1)),op_e) = mult(op_e,ld(X1,op_e)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_118]),c_0_24]) ).
cnf(c_0_201,plain,
rd(mult(X1,mult(X1,ld(X2,X1))),X1) = rd(mult(X1,X1),X2),
inference(spm,[status(thm)],[c_0_30,c_0_46]) ).
cnf(c_0_202,plain,
ld(ld(rd(X1,op_c),unit),op_d) = mult(mult(X1,op_c),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),c_0_20]) ).
cnf(c_0_203,plain,
rd(mult(X1,ld(mult(X2,X1),X3)),X1) = ld(X2,rd(X3,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_186]) ).
cnf(c_0_204,plain,
mult(X1,ld(X2,ld(X1,unit))) = rd(rd(X1,X2),X1),
inference(spm,[status(thm)],[c_0_20,c_0_54]) ).
cnf(c_0_205,plain,
ld(mult(X1,mult(X1,X1)),X1) = ld(mult(X1,X1),unit),
inference(spm,[status(thm)],[c_0_44,c_0_187]) ).
cnf(c_0_206,plain,
rd(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_75,c_0_32]) ).
cnf(c_0_207,plain,
mult(mult(X1,op_c),op_d) = mult(mult(X1,op_d),op_c),
inference(spm,[status(thm)],[c_0_16,c_0_188]) ).
cnf(c_0_208,plain,
mult(ld(mult(X1,X2),unit),mult(X1,X1)) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_78,c_0_14]) ).
cnf(c_0_209,plain,
mult(mult(X1,op_f),op_e) = mult(mult(X1,op_e),op_f),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_189]),c_0_14]) ).
cnf(c_0_210,plain,
mult(ld(op_e,op_d),op_f) = mult(op_e,op_d),
inference(spm,[status(thm)],[c_0_20,c_0_190]) ).
cnf(c_0_211,plain,
mult(X1,rd(X2,ld(X1,unit))) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_191]) ).
cnf(c_0_212,plain,
ld(X1,mult(rd(X2,X1),X3)) = mult(ld(X1,X2),ld(X1,X3)),
inference(spm,[status(thm)],[c_0_14,c_0_66]) ).
cnf(c_0_213,plain,
mult(op_d,ld(mult(op_e,op_d),X1)) = mult(ld(op_e,unit),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]),c_0_195]),c_0_21]),c_0_43]),c_0_118]),c_0_196]) ).
cnf(c_0_214,plain,
rd(op_d,ld(op_e,unit)) = mult(op_e,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_197]),c_0_41]),c_0_198]) ).
cnf(c_0_215,plain,
rd(mult(mult(X1,X2),X3),X2) = mult(X1,rd(mult(X2,X3),X2)),
inference(spm,[status(thm)],[c_0_199,c_0_14]) ).
cnf(c_0_216,plain,
mult(mult(op_e,op_d),rd(op_d,X1)) = rd(op_f,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_200]),c_0_201]),c_0_83]) ).
cnf(c_0_217,plain,
ld(rd(X1,op_c),unit) = rd(op_d,mult(mult(X1,op_c),op_c)),
inference(spm,[status(thm)],[c_0_26,c_0_202]) ).
cnf(c_0_218,plain,
rd(rd(rd(X1,mult(X2,X1)),X1),X1) = ld(X2,ld(mult(X1,X1),unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_159]) ).
cnf(c_0_219,plain,
ld(mult(op_c,op_c),unit) = ld(op_d,op_c),
inference(spm,[status(thm)],[c_0_205,c_0_151]) ).
cnf(c_0_220,plain,
mult(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,rd(X2,X3)),
inference(spm,[status(thm)],[c_0_32,c_0_206]) ).
cnf(c_0_221,plain,
mult(mult(rd(X1,op_c),op_d),op_c) = mult(X1,op_d),
inference(spm,[status(thm)],[c_0_207,c_0_32]) ).
cnf(c_0_222,plain,
rd(ld(X1,X2),mult(X2,X2)) = ld(mult(X2,X1),unit),
inference(spm,[status(thm)],[c_0_21,c_0_208]) ).
cnf(c_0_223,plain,
mult(op_f,op_d) = mult(op_d,op_f),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_164]),c_0_83]),c_0_153]) ).
cnf(c_0_224,plain,
rd(mult(mult(X1,X2),X1),rd(X2,ld(X1,unit))) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_211]) ).
cnf(c_0_225,plain,
mult(ld(X1,mult(X2,X1)),ld(X1,X3)) = ld(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_212,c_0_21]) ).
cnf(c_0_226,plain,
ld(op_d,mult(ld(op_e,unit),X1)) = ld(mult(op_e,op_d),X1),
inference(spm,[status(thm)],[c_0_14,c_0_213]) ).
cnf(c_0_227,plain,
ld(mult(op_e,op_d),op_d) = ld(op_e,unit),
inference(spm,[status(thm)],[c_0_44,c_0_214]) ).
cnf(c_0_228,plain,
rd(rd(op_f,X1),op_d) = mult(op_e,rd(op_e,mult(op_d,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_206]),c_0_84]) ).
cnf(c_0_229,plain,
rd(op_f,op_d) = mult(op_e,op_d),
inference(spm,[status(thm)],[c_0_21,c_0_175]) ).
cnf(c_0_230,plain,
ld(ld(X1,ld(op_d,op_c)),unit) = rd(op_d,ld(X1,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]),c_0_32]),c_0_53]) ).
cnf(c_0_231,plain,
mult(X1,rd(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_220,c_0_20]) ).
cnf(c_0_232,plain,
rd(mult(X1,op_d),op_c) = mult(rd(X1,op_c),op_d),
inference(spm,[status(thm)],[c_0_21,c_0_221]) ).
cnf(c_0_233,plain,
ld(op_f,rd(op_e,X1)) = ld(mult(X1,op_e),unit),
inference(spm,[status(thm)],[c_0_102,c_0_83]) ).
cnf(c_0_234,plain,
mult(rd(op_e,mult(op_d,X1)),op_d) = mult(op_d,rd(op_d,X1)),
inference(spm,[status(thm)],[c_0_220,c_0_84]) ).
cnf(c_0_235,plain,
ld(mult(X1,rd(X1,X2)),unit) = rd(X2,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_222,c_0_44]) ).
cnf(c_0_236,plain,
mult(mult(X1,op_f),op_d) = mult(mult(X1,op_d),op_f),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_223]),c_0_14]) ).
cnf(c_0_237,plain,
ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_44,c_0_224]) ).
cnf(c_0_238,plain,
mult(ld(op_e,unit),ld(op_d,X1)) = ld(mult(op_e,op_d),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_226]) ).
cnf(c_0_239,plain,
mult(mult(op_e,op_d),ld(op_e,unit)) = op_d,
inference(spm,[status(thm)],[c_0_32,c_0_214]) ).
cnf(c_0_240,plain,
mult(ld(mult(mult(X1,X2),X1),X1),X1) = ld(X1,ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_22]),c_0_57]) ).
cnf(c_0_241,plain,
mult(op_e,rd(op_e,rd(op_f,X1))) = rd(mult(op_f,X1),op_f),
inference(spm,[status(thm)],[c_0_47,c_0_115]) ).
cnf(c_0_242,plain,
mult(ld(mult(op_f,X1),op_e),op_e) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_177,c_0_14]) ).
cnf(c_0_243,plain,
ld(mult(X1,X1),mult(X1,mult(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_97]) ).
cnf(c_0_244,plain,
rd(mult(op_e,op_d),rd(X1,op_d)) = mult(op_e,rd(op_e,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_228]),c_0_20]),c_0_229]) ).
cnf(c_0_245,plain,
mult(rd(X1,ld(op_d,op_c)),X1) = mult(mult(rd(X1,op_c),op_d),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_230]),c_0_231]),c_0_232]) ).
cnf(c_0_246,plain,
ld(X1,mult(ld(ld(X1,unit),X2),X1)) = mult(X2,X1),
inference(spm,[status(thm)],[c_0_63,c_0_20]) ).
cnf(c_0_247,plain,
mult(op_f,ld(mult(X1,op_e),unit)) = rd(op_e,X1),
inference(spm,[status(thm)],[c_0_20,c_0_233]) ).
cnf(c_0_248,plain,
rd(op_d,rd(op_e,mult(op_d,X1))) = mult(op_e,rd(X1,op_e)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_234]),c_0_84]),c_0_235]),c_0_84]) ).
cnf(c_0_249,plain,
mult(mult(rd(X1,op_f),op_d),op_f) = mult(X1,op_d),
inference(spm,[status(thm)],[c_0_236,c_0_32]) ).
cnf(c_0_250,plain,
ld(op_d,mult(X1,ld(op_e,unit))) = rd(ld(op_d,X1),op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_88]),c_0_239]),c_0_41]) ).
cnf(c_0_251,plain,
ld(mult(X1,ld(op_e,unit)),unit) = ld(op_e,rd(op_f,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_25]),c_0_152]),c_0_242]),c_0_44]) ).
cnf(c_0_252,plain,
rd(mult(op_d,op_f),op_d) = op_f,
inference(spm,[status(thm)],[c_0_21,c_0_223]) ).
cnf(c_0_253,plain,
ld(mult(X1,X1),mult(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_225,c_0_243]) ).
cnf(c_0_254,plain,
mult(op_e,rd(op_e,mult(X1,op_d))) = rd(mult(op_e,op_d),X1),
inference(spm,[status(thm)],[c_0_244,c_0_21]) ).
cnf(c_0_255,plain,
mult(mult(rd(X1,X2),X1),X1) = mult(X1,ld(X2,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_182,c_0_50]) ).
cnf(c_0_256,plain,
rd(X1,ld(op_d,op_c)) = mult(rd(X1,op_c),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_245]),c_0_21]) ).
cnf(c_0_257,plain,
mult(ld(ld(X1,unit),X2),X1) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_246]) ).
cnf(c_0_258,plain,
rd(op_e,rd(X1,op_e)) = mult(op_f,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_247,c_0_32]) ).
cnf(c_0_259,plain,
mult(op_e,rd(ld(op_d,X1),op_e)) = rd(op_d,rd(op_e,X1)),
inference(spm,[status(thm)],[c_0_248,c_0_20]) ).
cnf(c_0_260,plain,
mult(ld(mult(op_e,op_d),X1),ld(X1,op_f)) = op_d,
inference(spm,[status(thm)],[c_0_32,c_0_196]) ).
cnf(c_0_261,plain,
rd(mult(X1,op_d),op_f) = mult(rd(X1,op_f),op_d),
inference(spm,[status(thm)],[c_0_21,c_0_249]) ).
cnf(c_0_262,plain,
mult(op_f,ld(ld(op_d,X1),unit)) = mult(rd(op_f,X1),op_d),
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_250]),c_0_121]),c_0_83]),c_0_251]),c_0_20]) ).
cnf(c_0_263,plain,
mult(op_d,mult(op_f,ld(op_d,X1))) = mult(op_f,X1),
inference(spm,[status(thm)],[c_0_25,c_0_252]) ).
cnf(c_0_264,plain,
ld(op_f,rd(mult(op_e,op_d),X1)) = rd(op_d,mult(X1,op_e)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_83]),c_0_83]),c_0_233]),c_0_164]),c_0_125]) ).
cnf(c_0_265,plain,
rd(ld(ld(X1,X2),unit),ld(X1,unit)) = ld(X2,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_37]),c_0_255]),c_0_14]) ).
cnf(c_0_266,plain,
ld(mult(rd(X1,op_c),op_d),X1) = ld(op_d,op_c),
inference(spm,[status(thm)],[c_0_44,c_0_256]) ).
cnf(c_0_267,plain,
mult(mult(X1,X1),mult(X1,X1)) = mult(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_144]),c_0_104]),c_0_114]) ).
cnf(c_0_268,plain,
mult(op_c,op_d) = mult(op_d,op_c),
inference(spm,[status(thm)],[c_0_20,c_0_188]) ).
cnf(c_0_269,plain,
ld(mult(op_f,ld(X1,unit)),op_e) = rd(X1,op_e),
inference(spm,[status(thm)],[c_0_44,c_0_258]) ).
cnf(c_0_270,plain,
ld(mult(rd(op_e,X1),op_d),unit) = rd(ld(op_d,X1),op_e),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_259]),c_0_113]) ).
cnf(c_0_271,plain,
mult(rd(X1,rd(mult(X2,X3),X2)),X2) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_120,c_0_14]) ).
cnf(c_0_272,plain,
ld(rd(mult(op_e,op_d),X1),unit) = mult(rd(X1,op_f),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_260]),c_0_261]),c_0_43]) ).
cnf(c_0_273,plain,
ld(op_f,mult(rd(op_f,X1),op_d)) = ld(ld(op_d,X1),unit),
inference(spm,[status(thm)],[c_0_14,c_0_262]) ).
cnf(c_0_274,plain,
ld(op_d,mult(op_f,X1)) = mult(op_f,ld(op_d,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_263]) ).
cnf(c_0_275,plain,
rd(X1,mult(X2,mult(X1,X1))) = ld(X1,ld(X2,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_44]),c_0_56]) ).
cnf(c_0_276,plain,
mult(op_f,rd(op_d,mult(X1,op_e))) = rd(mult(op_e,op_d),X1),
inference(spm,[status(thm)],[c_0_20,c_0_264]) ).
cnf(c_0_277,plain,
ld(X1,mult(op_d,op_c)) = mult(ld(X1,op_c),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_265,c_0_266]),c_0_56]),c_0_171]),c_0_165]),c_0_256]),c_0_21]),c_0_56]),c_0_171]),c_0_56]),c_0_171]),c_0_267]),c_0_151]),c_0_268]) ).
cnf(c_0_278,plain,
ld(mult(rd(op_f,X1),op_d),op_e) = rd(ld(op_d,X1),op_e),
inference(spm,[status(thm)],[c_0_269,c_0_262]) ).
cnf(c_0_279,plain,
mult(rd(X1,op_e),ld(op_e,op_d)) = mult(rd(X1,op_f),op_d),
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_270,c_0_271]),c_0_272]),c_0_137]),c_0_123]),c_0_194]),c_0_145]) ).
cnf(c_0_280,plain,
mult(rd(X1,op_f),op_d) = mult(X1,ld(op_f,op_d)),
inference(rw,[status(thm)],[inference(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_273,c_0_124]),c_0_25]),c_0_14]),c_0_274]),c_0_275]),c_0_84]),c_0_276]),c_0_272]) ).
cnf(c_0_281,plain,
mult(X1,mult(ld(X1,op_c),op_d)) = mult(op_d,op_c),
inference(spm,[status(thm)],[c_0_20,c_0_277]) ).
cnf(c_0_282,plain,
ld(rd(mult(op_d,op_f),X1),op_e) = mult(X1,ld(op_f,op_d)),
inference(rw,[status(thm)],[inference(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_278,c_0_271]),c_0_223]),c_0_137]),c_0_123]),c_0_194]),c_0_145]),c_0_279]),c_0_280]) ).
cnf(c_0_283,plain,
ld(mult(rd(rd(X1,X2),X3),X2),X1) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_101,c_0_32]) ).
cnf(c_0_284,plain,
rd(ld(X1,mult(X2,X3)),ld(X1,X3)) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_225]) ).
cnf(c_0_285,plain,
rd(mult(op_d,op_c),mult(X1,op_d)) = rd(op_c,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_281]),c_0_20]) ).
cnf(c_0_286,plain,
rd(op_e,mult(X1,ld(op_f,op_d))) = rd(mult(op_d,op_f),X1),
inference(spm,[status(thm)],[c_0_26,c_0_282]) ).
cnf(c_0_287,plain,
rd(X1,ld(X2,mult(X3,X2))) = mult(rd(rd(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_26,c_0_283]) ).
cnf(c_0_288,plain,
rd(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_284,c_0_32]) ).
cnf(c_0_289,plain,
rd(op_c,rd(X1,op_d)) = rd(mult(op_d,op_c),X1),
inference(spm,[status(thm)],[c_0_285,c_0_32]) ).
cnf(c_0_290,plain,
rd(op_e,ld(op_f,mult(X1,op_d))) = mult(rd(op_d,X1),op_f),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_225]),c_0_287]),c_0_21]) ).
cnf(c_0_291,plain,
mult(ld(mult(mult(X1,X2),X1),X1),X2) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_62,c_0_14]) ).
cnf(c_0_292,plain,
ld(op_e,mult(rd(op_f,X1),op_e)) = mult(op_e,ld(X1,op_e)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_176]),c_0_42]) ).
cnf(c_0_293,plain,
ld(mult(rd(op_f,X1),op_f),op_e) = rd(ld(op_f,X1),op_e),
inference(spm,[status(thm)],[c_0_269,c_0_37]) ).
cnf(c_0_294,plain,
mult(X1,rd(ld(X1,X2),X3)) = mult(rd(X2,mult(X1,X3)),X1),
inference(spm,[status(thm)],[c_0_220,c_0_20]) ).
cnf(c_0_295,plain,
rd(mult(X1,X2),ld(mult(X3,X2),X2)) = mult(rd(X1,ld(X3,unit)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_36]),c_0_21]) ).
cnf(c_0_296,plain,
rd(mult(op_d,op_c),X1) = mult(op_d,rd(op_c,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_289]),c_0_220]),c_0_268]) ).
cnf(c_0_297,plain,
ld(ld(op_e,X1),unit) = mult(ld(X1,op_d),op_d),
inference(spm,[status(thm)],[c_0_165,c_0_84]) ).
cnf(c_0_298,plain,
rd(op_e,ld(op_f,X1)) = mult(mult(op_e,ld(X1,unit)),op_f),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_32]),c_0_121]),c_0_84]) ).
cnf(c_0_299,plain,
rd(ld(X1,unit),X2) = ld(mult(mult(X1,X2),X1),X1),
inference(spm,[status(thm)],[c_0_21,c_0_291]) ).
cnf(c_0_300,plain,
mult(ld(op_e,unit),rd(op_f,X1)) = mult(op_d,rd(op_d,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_292]),c_0_43]),c_0_118]) ).
cnf(c_0_301,plain,
mult(ld(X1,X2),ld(X1,unit)) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_137,c_0_20]) ).
cnf(c_0_302,plain,
ld(X1,ld(X1,unit)) = ld(mult(X1,X1),unit),
inference(spm,[status(thm)],[c_0_14,c_0_158]) ).
cnf(c_0_303,plain,
rd(op_e,mult(op_e,mult(rd(op_f,X1),op_e))) = rd(X1,mult(op_e,op_f)),
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_203,c_0_293]),c_0_294]),c_0_189]),c_0_21]),c_0_195]),c_0_122]) ).
cnf(c_0_304,plain,
ld(op_f,mult(op_e,op_f)) = op_e,
inference(spm,[status(thm)],[c_0_44,c_0_172]) ).
cnf(c_0_305,plain,
mult(rd(op_d,ld(X1,unit)),op_c) = mult(op_d,mult(X1,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_26]) ).
cnf(c_0_306,plain,
rd(rd(X1,rd(ld(X1,unit),X2)),X1) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_204,c_0_44]) ).
cnf(c_0_307,plain,
mult(ld(mult(op_e,X1),op_d),op_d) = ld(X1,unit),
inference(spm,[status(thm)],[c_0_297,c_0_14]) ).
cnf(c_0_308,plain,
ld(mult(X1,ld(X2,X1)),X1) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_42]) ).
cnf(c_0_309,plain,
ld(mult(mult(op_e,rd(X1,op_f)),op_e),op_e) = mult(op_e,ld(X1,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_298]),c_0_21]),c_0_195]),c_0_299]) ).
cnf(c_0_310,plain,
mult(rd(X1,op_e),ld(op_f,unit)) = rd(X1,mult(op_e,op_f)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_208,c_0_300]),c_0_235]),c_0_84]),c_0_301]),c_0_56]),c_0_302]),c_0_83]),c_0_122]),c_0_303]) ).
cnf(c_0_311,plain,
mult(ld(op_f,unit),op_e) = ld(op_e,unit),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_304]),c_0_195]) ).
cnf(c_0_312,plain,
rd(X1,mult(X2,ld(X3,ld(X2,X1)))) = rd(mult(X2,X3),X2),
inference(spm,[status(thm)],[c_0_79,c_0_20]) ).
cnf(c_0_313,plain,
mult(X1,ld(mult(X1,X2),X1)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_42,c_0_14]) ).
cnf(c_0_314,plain,
rd(op_d,ld(X1,unit)) = rd(mult(op_d,mult(X1,op_c)),op_c),
inference(spm,[status(thm)],[c_0_21,c_0_305]) ).
cnf(c_0_315,plain,
ld(X1,mult(rd(mult(X1,X2),X3),X1)) = rd(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_14,c_0_231]) ).
cnf(c_0_316,plain,
rd(X1,rd(ld(X1,unit),X2)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_306]) ).
cnf(c_0_317,plain,
rd(ld(X1,unit),op_d) = ld(mult(op_e,X1),op_d),
inference(spm,[status(thm)],[c_0_21,c_0_307]) ).
cnf(c_0_318,plain,
ld(mult(mult(X1,X1),X2),mult(X1,X2)) = ld(mult(X1,X2),X2),
inference(spm,[status(thm)],[c_0_308,c_0_16]) ).
cnf(c_0_319,plain,
mult(mult(op_e,rd(X1,op_f)),op_e) = rd(mult(op_e,X1),op_e),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_309]),c_0_124]) ).
cnf(c_0_320,plain,
mult(rd(X1,mult(op_e,op_f)),op_e) = mult(X1,ld(op_f,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_310]),c_0_311]),c_0_302]),c_0_83]) ).
cnf(c_0_321,plain,
rd(mult(rd(X1,X2),X1),X2) = rd(X1,mult(rd(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_111]),c_0_37]),c_0_66]) ).
cnf(c_0_322,plain,
rd(X1,rd(X2,ld(X1,X3))) = mult(ld(rd(mult(X1,X2),X3),unit),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_231]),c_0_36]) ).
cnf(c_0_323,plain,
ld(rd(op_d,mult(X1,op_e)),unit) = mult(X1,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_314]),c_0_315]),c_0_256]),c_0_21]),c_0_275]),c_0_84]) ).
cnf(c_0_324,plain,
rd(X1,ld(mult(op_e,X1),op_d)) = mult(mult(X1,op_d),X1),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_325,plain,
ld(mult(mult(X1,X1),ld(X1,X2)),X2) = ld(X2,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_318,c_0_20]) ).
cnf(c_0_326,plain,
rd(ld(X1,X2),X2) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_48,c_0_26]) ).
cnf(c_0_327,plain,
ld(X1,rd(X1,X2)) = ld(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_308,c_0_44]) ).
cnf(c_0_328,plain,
rd(X1,ld(X2,ld(X3,mult(X2,X1)))) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_315,c_0_26]) ).
cnf(c_0_329,plain,
mult(mult(X1,ld(op_f,unit)),op_e) = rd(X1,op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_294]),c_0_320]),c_0_20]) ).
cnf(c_0_330,plain,
ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2),
inference(spm,[status(thm)],[c_0_203,c_0_32]) ).
cnf(c_0_331,plain,
mult(rd(X1,mult(rd(X2,X1),X2)),X2) = mult(rd(X1,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_321]) ).
cnf(c_0_332,plain,
rd(mult(X1,X1),rd(X2,ld(X1,unit))) = mult(X1,ld(X2,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_111]),c_0_215]),c_0_208]),c_0_50]),c_0_112]) ).
cnf(c_0_333,plain,
ld(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_14,c_0_294]) ).
cnf(c_0_334,plain,
rd(op_d,mult(X1,op_e)) = ld(mult(X1,op_d),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_323]),c_0_116]),c_0_117]),c_0_29]) ).
cnf(c_0_335,plain,
ld(mult(mult(X1,op_d),X1),X1) = ld(mult(op_e,X1),op_d),
inference(spm,[status(thm)],[c_0_44,c_0_324]) ).
cnf(c_0_336,plain,
rd(op_d,rd(X1,op_d)) = mult(op_e,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_125,c_0_32]) ).
cnf(c_0_337,plain,
mult(X1,ld(ld(X2,X1),X1)) = mult(mult(X2,X2),ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_325]),c_0_42]) ).
cnf(c_0_338,plain,
mult(ld(X1,unit),ld(rd(X2,X1),unit)) = rd(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_43]),c_0_14]),c_0_326]) ).
cnf(c_0_339,plain,
rd(mult(X1,ld(X2,unit)),X1) = rd(X1,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_21,c_0_112]) ).
cnf(c_0_340,plain,
ld(mult(X1,mult(X1,ld(X2,unit))),X1) = mult(X2,ld(X1,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_124]),c_0_137]) ).
cnf(c_0_341,plain,
ld(ld(X1,mult(X2,X1)),X3) = ld(X1,ld(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_44,c_0_328]) ).
cnf(c_0_342,plain,
rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)),
inference(spm,[status(thm)],[c_0_21,c_0_271]) ).
cnf(c_0_343,plain,
rd(rd(X1,op_e),op_e) = mult(X1,ld(op_f,unit)),
inference(spm,[status(thm)],[c_0_21,c_0_329]) ).
cnf(c_0_344,plain,
rd(mult(X1,X1),rd(X1,X2)) = rd(mult(X1,mult(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_201,c_0_44]) ).
cnf(c_0_345,plain,
rd(op_f,rd(op_e,X1)) = rd(mult(op_f,mult(X1,op_e)),op_f),
inference(spm,[status(thm)],[c_0_124,c_0_247]) ).
cnf(c_0_346,plain,
rd(mult(op_e,ld(X1,op_f)),op_e) = mult(rd(op_e,X1),op_e),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_178]),c_0_50]) ).
cnf(c_0_347,plain,
rd(op_e,mult(op_f,ld(X1,op_f))) = ld(op_e,rd(X1,op_f)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_182]),c_0_24]) ).
cnf(c_0_348,plain,
ld(mult(rd(X1,X2),X1),mult(X1,X2)) = ld(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_331]),c_0_255]),c_0_14]) ).
cnf(c_0_349,plain,
mult(X1,ld(mult(X2,ld(X1,unit)),unit)) = rd(mult(X1,X1),X2),
inference(spm,[status(thm)],[c_0_332,c_0_21]) ).
cnf(c_0_350,plain,
ld(mult(op_d,X1),unit) = ld(mult(op_e,X1),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_88]),c_0_24]),c_0_335]),c_0_136]) ).
cnf(c_0_351,plain,
ld(mult(op_e,ld(X1,unit)),op_d) = rd(X1,op_d),
inference(spm,[status(thm)],[c_0_44,c_0_336]) ).
cnf(c_0_352,plain,
rd(mult(mult(X1,X1),X2),mult(X2,ld(ld(X1,X2),X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_337]),c_0_104]),c_0_21]) ).
cnf(c_0_353,plain,
mult(rd(X1,X2),rd(X2,mult(X1,X2))) = rd(rd(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_338]),c_0_117]),c_0_339]),c_0_32]) ).
cnf(c_0_354,plain,
rd(rd(mult(X1,X2),X1),X1) = rd(X1,rd(mult(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_48,c_0_271]) ).
cnf(c_0_355,plain,
ld(X1,ld(rd(mult(X2,X2),X1),mult(X2,X1))) = ld(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_225]),c_0_28]),c_0_225]),c_0_107]),c_0_341]),c_0_28]),c_0_20]) ).
cnf(c_0_356,plain,
mult(mult(X1,op_e),ld(op_f,unit)) = rd(X1,op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_83]),c_0_178]) ).
cnf(c_0_357,plain,
rd(mult(op_f,mult(X1,op_e)),op_f) = rd(mult(op_e,mult(op_e,X1)),op_e),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_83]),c_0_345]) ).
cnf(c_0_358,plain,
mult(ld(X1,op_f),ld(op_e,unit)) = mult(ld(X1,op_d),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_346]),c_0_40]),c_0_297]) ).
cnf(c_0_359,plain,
ld(mult(mult(op_e,ld(X1,op_f)),op_e),op_e) = ld(mult(op_e,op_f),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_347]),c_0_186]),c_0_14]),c_0_152]),c_0_299]) ).
cnf(c_0_360,plain,
rd(mult(X1,X2),ld(X1,mult(X2,X2))) = mult(rd(X1,X2),X1),
inference(spm,[status(thm)],[c_0_26,c_0_348]) ).
cnf(c_0_361,plain,
rd(mult(X1,X1),op_d) = mult(X1,rd(X1,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_351]) ).
cnf(c_0_362,plain,
rd(mult(X1,X1),rd(mult(X2,X2),ld(X1,X2))) = rd(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_352]),c_0_201]) ).
cnf(c_0_363,plain,
mult(rd(rd(X1,X2),X1),X2) = mult(X1,ld(X2,ld(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_353]),c_0_53]) ).
cnf(c_0_364,plain,
mult(rd(X1,rd(mult(X1,X1),X2)),X1) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_354]) ).
cnf(c_0_365,plain,
mult(rd(X1,mult(X2,X1)),ld(X2,X1)) = ld(X2,ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_26]),c_0_326]) ).
cnf(c_0_366,plain,
ld(ld(rd(X1,X2),X3),X2) = mult(X2,ld(ld(X1,mult(X3,X2)),unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_182]),c_0_112]) ).
cnf(c_0_367,plain,
ld(rd(mult(X1,X1),X2),mult(X1,X2)) = mult(X2,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_355]) ).
cnf(c_0_368,plain,
ld(mult(X1,ld(X2,X1)),X2) = ld(X1,mult(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_139]),c_0_182]),c_0_24]),c_0_131]),c_0_32]) ).
cnf(c_0_369,plain,
rd(mult(op_e,mult(op_e,X1)),op_e) = mult(op_f,rd(X1,op_e)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_356]),c_0_117]),c_0_357]) ).
cnf(c_0_370,plain,
ld(op_e,mult(rd(X1,op_f),op_e)) = rd(ld(op_e,X1),op_e),
inference(spm,[status(thm)],[c_0_288,c_0_176]) ).
cnf(c_0_371,plain,
mult(ld(op_f,unit),ld(op_e,X1)) = ld(mult(op_e,op_f),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_109,c_0_358]),c_0_301]),c_0_56]),c_0_302]),c_0_83]),c_0_95]),c_0_84]),c_0_299]),c_0_359]) ).
cnf(c_0_372,plain,
rd(mult(X1,op_e),ld(X1,op_f)) = mult(rd(X1,op_e),X1),
inference(spm,[status(thm)],[c_0_360,c_0_83]) ).
cnf(c_0_373,plain,
rd(mult(X1,op_d),ld(X1,op_e)) = mult(rd(X1,op_d),X1),
inference(spm,[status(thm)],[c_0_360,c_0_84]) ).
cnf(c_0_374,plain,
mult(mult(X1,op_d),ld(op_d,X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_361]),c_0_131]) ).
cnf(c_0_375,plain,
ld(rd(X1,X2),mult(X1,X1)) = rd(mult(X2,X2),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_44,c_0_362]) ).
cnf(c_0_376,plain,
rd(X1,ld(mult(mult(X2,X1),X2),X2)) = mult(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_291]),c_0_41]) ).
cnf(c_0_377,plain,
rd(X1,rd(mult(X2,X1),X2)) = mult(X1,rd(rd(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_363]),c_0_50]),c_0_112]),c_0_14]),c_0_25]),c_0_204]),c_0_354]),c_0_364]),c_0_342]) ).
cnf(c_0_378,plain,
ld(ld(X1,unit),rd(X2,X1)) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_44,c_0_149]) ).
cnf(c_0_379,plain,
rd(ld(X1,ld(X1,X2)),X2) = rd(ld(X1,X2),mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_326]),c_0_365]),c_0_26]) ).
cnf(c_0_380,plain,
rd(ld(X1,X2),mult(X1,X2)) = rd(X2,mult(X1,mult(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_53]),c_0_21]) ).
cnf(c_0_381,plain,
mult(X1,mult(ld(mult(mult(X2,X1),X1),X2),X2)) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_308]),c_0_165]) ).
cnf(c_0_382,plain,
ld(mult(X1,X2),rd(X1,X2)) = ld(mult(mult(X1,X2),X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_14]),c_0_313]) ).
cnf(c_0_383,plain,
mult(mult(op_e,op_f),ld(op_e,X1)) = mult(op_e,mult(op_e,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_369]),c_0_131]),c_0_189]) ).
cnf(c_0_384,plain,
ld(op_f,rd(mult(op_e,X1),op_e)) = rd(ld(op_e,X1),op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_319]),c_0_83]),c_0_370]) ).
cnf(c_0_385,plain,
ld(mult(op_e,op_f),mult(op_e,X1)) = mult(ld(op_f,unit),X1),
inference(spm,[status(thm)],[c_0_371,c_0_14]) ).
cnf(c_0_386,plain,
rd(op_e,ld(X1,ld(X1,op_f))) = ld(op_e,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_372]),c_0_255]),c_0_14]) ).
cnf(c_0_387,plain,
rd(op_d,ld(X1,ld(X1,op_e))) = ld(op_d,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_373]),c_0_255]),c_0_14]) ).
cnf(c_0_388,plain,
ld(rd(op_d,X1),op_e) = mult(X1,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_374]),c_0_375]),c_0_84]) ).
cnf(c_0_389,plain,
rd(ld(op_f,mult(X1,op_f)),op_e) = ld(ld(X1,op_f),op_e),
inference(spm,[status(thm)],[c_0_21,c_0_193]) ).
cnf(c_0_390,plain,
rd(mult(X1,X2),mult(X1,mult(X2,X2))) = rd(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_25]),c_0_14]) ).
cnf(c_0_391,plain,
ld(ld(X1,op_f),mult(ld(X1,op_d),op_d)) = ld(op_e,unit),
inference(spm,[status(thm)],[c_0_14,c_0_358]) ).
cnf(c_0_392,plain,
ld(mult(mult(X1,X1),X2),X1) = ld(mult(mult(X2,X1),X2),X2),
inference(spm,[status(thm)],[c_0_44,c_0_376]) ).
cnf(c_0_393,plain,
ld(mult(X1,rd(rd(X2,X1),X2)),X1) = rd(mult(X2,X1),X2),
inference(spm,[status(thm)],[c_0_44,c_0_377]) ).
cnf(c_0_394,plain,
ld(ld(X1,unit),X2) = rd(mult(X1,mult(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_378,c_0_21]) ).
cnf(c_0_395,plain,
rd(ld(X1,ld(X1,X2)),X2) = rd(X2,mult(X1,mult(X1,X2))),
inference(rw,[status(thm)],[c_0_379,c_0_380]) ).
cnf(c_0_396,plain,
rd(X1,mult(X2,mult(X2,X1))) = ld(mult(mult(X1,X2),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_381]),c_0_380]),c_0_203]),c_0_382]) ).
cnf(c_0_397,plain,
mult(op_e,mult(op_e,mult(op_e,X1))) = mult(mult(op_e,op_f),X1),
inference(spm,[status(thm)],[c_0_383,c_0_14]) ).
cnf(c_0_398,plain,
mult(op_e,mult(ld(op_f,unit),X1)) = ld(op_e,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_384]),c_0_32]),c_0_189]),c_0_385]) ).
cnf(c_0_399,plain,
ld(X1,ld(X1,op_f)) = mult(ld(mult(X1,X1),unit),op_f),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_386]),c_0_78]),c_0_83]) ).
cnf(c_0_400,plain,
ld(X1,ld(X1,op_e)) = mult(ld(mult(X1,X1),unit),op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_387]),c_0_78]),c_0_84]) ).
cnf(c_0_401,plain,
rd(op_e,mult(X1,op_d)) = rd(op_d,X1),
inference(spm,[status(thm)],[c_0_26,c_0_388]) ).
cnf(c_0_402,plain,
ld(ld(X1,op_f),op_e) = mult(ld(op_f,X1),op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_225]),c_0_28]),c_0_389]) ).
cnf(c_0_403,plain,
rd(X1,mult(X2,mult(ld(X2,X1),X2))) = rd(rd(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_69]),c_0_32]),c_0_32]) ).
cnf(c_0_404,plain,
ld(ld(mult(op_e,X1),op_f),ld(X1,unit)) = ld(op_e,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_392]),c_0_84]),c_0_335]),c_0_307]) ).
cnf(c_0_405,plain,
mult(mult(rd(X1,rd(X2,X3)),X3),ld(X3,X2)) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_131,c_0_32]) ).
cnf(c_0_406,plain,
rd(X1,rd(rd(X2,X1),X2)) = mult(X1,rd(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_313,c_0_393]) ).
cnf(c_0_407,plain,
ld(X1,ld(ld(X1,unit),X2)) = mult(mult(X2,X1),ld(X1,unit)),
inference(spm,[status(thm)],[c_0_137,c_0_394]) ).
cnf(c_0_408,plain,
ld(X1,mult(ld(X1,unit),X2)) = mult(ld(X1,unit),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_212,c_0_56]) ).
cnf(c_0_409,plain,
mult(mult(X1,X2),ld(mult(X2,X1),X2)) = rd(mult(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_377]),c_0_131]),c_0_327]) ).
cnf(c_0_410,plain,
rd(ld(X1,ld(X1,X2)),X2) = ld(mult(mult(X2,X1),X1),X2),
inference(rw,[status(thm)],[c_0_395,c_0_396]) ).
cnf(c_0_411,plain,
ld(op_e,mult(mult(op_e,op_f),X1)) = mult(op_e,mult(op_e,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_397]) ).
cnf(c_0_412,plain,
ld(mult(mult(X1,op_e),op_e),X1) = ld(op_f,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_329]),c_0_382]),c_0_311]),c_0_302]),c_0_83]) ).
cnf(c_0_413,plain,
ld(op_e,ld(op_e,X1)) = mult(ld(op_f,unit),X1),
inference(spm,[status(thm)],[c_0_14,c_0_398]) ).
cnf(c_0_414,plain,
rd(op_f,mult(X1,mult(X1,op_f))) = ld(mult(X1,X1),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_399]),c_0_20]),c_0_21]),c_0_20]),c_0_380]) ).
cnf(c_0_415,plain,
rd(op_e,mult(X1,mult(X1,op_e))) = ld(mult(X1,X1),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_400]),c_0_20]),c_0_21]),c_0_20]),c_0_380]) ).
cnf(c_0_416,plain,
mult(op_e,ld(X1,unit)) = rd(op_e,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_32]),c_0_121]),c_0_84]) ).
cnf(c_0_417,plain,
rd(op_e,mult(ld(X1,op_f),op_e)) = ld(op_f,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_402]),c_0_21]) ).
cnf(c_0_418,plain,
mult(rd(X1,rd(X1,X2)),X1) = mult(X2,mult(ld(X2,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_403]),c_0_50]) ).
cnf(c_0_419,plain,
ld(op_d,op_e) = op_d,
inference(spm,[status(thm)],[c_0_14,c_0_84]) ).
cnf(c_0_420,plain,
ld(mult(mult(X1,X1),ld(X2,unit)),X1) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_44,c_0_121]) ).
cnf(c_0_421,plain,
ld(op_e,mult(mult(op_e,ld(X1,unit)),op_e)) = ld(mult(op_e,X1),op_f),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_404]),c_0_237]) ).
cnf(c_0_422,plain,
mult(ld(X1,op_d),op_d) = ld(X1,op_e),
inference(spm,[status(thm)],[c_0_388,c_0_26]) ).
cnf(c_0_423,plain,
mult(mult(mult(X1,X2),X1),ld(mult(X2,X1),X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_131]),c_0_14]),c_0_327]) ).
cnf(c_0_424,plain,
ld(mult(op_e,X1),op_e) = ld(X1,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_376]),c_0_84]),c_0_335]),c_0_307]) ).
cnf(c_0_425,plain,
mult(mult(mult(X1,X2),X1),ld(X1,unit)) = ld(ld(X1,unit),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_41]),c_0_14]),c_0_41]) ).
cnf(c_0_426,plain,
ld(mult(mult(X1,X2),X1),mult(X1,X2)) = ld(mult(X2,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_409]),c_0_327]) ).
cnf(c_0_427,plain,
rd(mult(op_e,X1),mult(mult(op_e,op_f),X1)) = ld(op_f,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_14]),c_0_412]) ).
cnf(c_0_428,plain,
mult(ld(op_f,unit),mult(op_e,X1)) = ld(op_e,X1),
inference(spm,[status(thm)],[c_0_413,c_0_14]) ).
cnf(c_0_429,plain,
ld(ld(mult(X1,X1),unit),op_f) = mult(X1,mult(X1,op_f)),
inference(spm,[status(thm)],[c_0_44,c_0_414]) ).
cnf(c_0_430,plain,
ld(ld(mult(X1,X1),unit),op_e) = mult(X1,mult(X1,op_e)),
inference(spm,[status(thm)],[c_0_44,c_0_415]) ).
cnf(c_0_431,plain,
mult(rd(rd(op_e,X1),X2),X1) = mult(op_e,ld(X1,ld(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_341]),c_0_28]),c_0_287]) ).
cnf(c_0_432,plain,
rd(op_e,mult(X1,op_e)) = ld(mult(op_f,X1),op_f),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_44]),c_0_327]) ).
cnf(c_0_433,plain,
mult(mult(rd(X1,rd(X1,X2)),X1),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_418]),c_0_20]) ).
cnf(c_0_434,plain,
mult(op_d,mult(ld(op_d,X1),op_d)) = mult(rd(X1,op_d),op_e),
inference(spm,[status(thm)],[c_0_66,c_0_419]) ).
cnf(c_0_435,plain,
ld(ld(mult(op_e,ld(X1,unit)),op_f),X1) = ld(op_e,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_420]),c_0_84]),c_0_32]) ).
cnf(c_0_436,plain,
ld(mult(op_e,X1),op_f) = ld(X1,op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_416]),c_0_40]),c_0_297]),c_0_422]) ).
cnf(c_0_437,plain,
ld(ld(X1,unit),op_e) = mult(X1,op_e),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_425]) ).
cnf(c_0_438,plain,
ld(rd(op_e,mult(X1,op_f)),X1) = mult(X1,mult(op_e,X1)),
inference(spm,[status(thm)],[c_0_80,c_0_98]) ).
cnf(c_0_439,plain,
rd(rd(X1,X2),ld(mult(X1,X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_26,c_0_327]) ).
cnf(c_0_440,plain,
ld(mult(ld(X1,X2),X1),ld(X1,X2)) = ld(mult(X2,X1),X2),
inference(spm,[status(thm)],[c_0_426,c_0_20]) ).
cnf(c_0_441,plain,
mult(ld(X1,unit),mult(X1,X2)) = mult(X1,mult(ld(X1,unit),X2)),
inference(spm,[status(thm)],[c_0_69,c_0_56]) ).
cnf(c_0_442,plain,
rd(mult(mult(X1,op_e),op_f),op_e) = mult(X1,op_f),
inference(spm,[status(thm)],[c_0_21,c_0_209]) ).
cnf(c_0_443,plain,
ld(mult(op_e,X1),ld(op_e,X1)) = ld(X1,ld(op_f,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_427]),c_0_428]),c_0_22]),c_0_341]),c_0_28]) ).
cnf(c_0_444,plain,
ld(mult(ld(X1,unit),X2),X1) = mult(mult(ld(X2,unit),X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_67]),c_0_42]),c_0_36]) ).
cnf(c_0_445,plain,
mult(ld(mult(X1,X1),unit),mult(X1,mult(X1,op_f))) = op_f,
inference(spm,[status(thm)],[c_0_20,c_0_429]) ).
cnf(c_0_446,plain,
mult(ld(mult(X1,X1),unit),mult(X1,mult(X1,op_e))) = op_e,
inference(spm,[status(thm)],[c_0_20,c_0_430]) ).
cnf(c_0_447,plain,
mult(rd(op_e,X1),rd(X1,mult(X2,X1))) = rd(rd(op_e,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_431]),c_0_194]),c_0_326]) ).
cnf(c_0_448,plain,
ld(mult(op_f,rd(op_e,X1)),op_f) = rd(X1,op_e),
inference(spm,[status(thm)],[c_0_48,c_0_432]) ).
cnf(c_0_449,plain,
ld(mult(op_f,X1),op_f) = ld(X1,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_433]),c_0_84]),c_0_432]),c_0_418]),c_0_434]),c_0_334]),c_0_32]) ).
cnf(c_0_450,plain,
ld(mult(X1,op_e),X1) = ld(op_e,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_435,c_0_436]),c_0_437]) ).
cnf(c_0_451,plain,
mult(mult(op_e,ld(X1,unit)),rd(X1,op_f)) = ld(op_e,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_319]),c_0_50]),c_0_112]),c_0_14]) ).
cnf(c_0_452,plain,
rd(X1,mult(X1,mult(op_e,X1))) = rd(op_e,mult(X1,op_f)),
inference(spm,[status(thm)],[c_0_26,c_0_438]) ).
cnf(c_0_453,plain,
rd(rd(ld(X1,X2),X1),ld(mult(X2,X1),X2)) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_439,c_0_440]) ).
cnf(c_0_454,plain,
rd(rd(X1,X2),ld(X2,unit)) = mult(X2,mult(ld(X2,unit),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_237]),c_0_67]),c_0_56]),c_0_441]) ).
cnf(c_0_455,plain,
rd(mult(X1,op_f),mult(X1,op_e)) = rd(mult(X1,op_e),X1),
inference(spm,[status(thm)],[c_0_75,c_0_83]) ).
cnf(c_0_456,plain,
rd(mult(rd(X1,X2),X1),ld(ld(X1,X2),unit)) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_37]) ).
cnf(c_0_457,plain,
rd(mult(X1,op_f),op_e) = mult(rd(X1,op_e),op_f),
inference(spm,[status(thm)],[c_0_442,c_0_32]) ).
cnf(c_0_458,plain,
ld(mult(rd(X1,X2),X1),rd(X1,X2)) = rd(X2,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_353]),c_0_327]) ).
cnf(c_0_459,plain,
rd(mult(X1,ld(X2,mult(X3,X1))),X1) = ld(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_21,c_0_182]) ).
cnf(c_0_460,plain,
ld(rd(op_e,X1),mult(op_d,X1)) = mult(X1,ld(op_d,X1)),
inference(spm,[status(thm)],[c_0_367,c_0_84]) ).
cnf(c_0_461,plain,
ld(op_e,rd(X1,mult(op_e,X1))) = rd(X1,mult(op_f,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_443]),c_0_20]),c_0_326]),c_0_326]) ).
cnf(c_0_462,plain,
mult(ld(mult(X1,op_f),X1),mult(X1,X1)) = ld(op_f,mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_445]),c_0_208]) ).
cnf(c_0_463,plain,
mult(ld(mult(X1,op_e),X1),mult(X1,X1)) = ld(op_e,mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_446]),c_0_208]) ).
cnf(c_0_464,plain,
rd(op_e,rd(op_f,X1)) = mult(op_e,rd(X1,op_f)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_319]),c_0_354]),c_0_83]) ).
cnf(c_0_465,plain,
ld(mult(rd(op_e,X1),X2),rd(op_e,X1)) = rd(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_447]),c_0_327]) ).
cnf(c_0_466,plain,
ld(rd(op_e,X1),unit) = rd(X1,op_e),
inference(rw,[status(thm)],[c_0_448,c_0_449]) ).
cnf(c_0_467,plain,
mult(X1,ld(op_e,unit)) = rd(X1,op_e),
inference(spm,[status(thm)],[c_0_313,c_0_450]) ).
cnf(c_0_468,plain,
mult(mult(op_e,ld(mult(X1,op_f),unit)),X1) = ld(op_e,unit),
inference(spm,[status(thm)],[c_0_451,c_0_21]) ).
cnf(c_0_469,plain,
mult(rd(op_e,mult(X1,op_f)),X1) = mult(X1,ld(mult(op_e,X1),unit)),
inference(spm,[status(thm)],[c_0_112,c_0_452]) ).
cnf(c_0_470,plain,
rd(X1,mult(mult(ld(X2,unit),X1),X1)) = mult(ld(X1,unit),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_27]),c_0_67]) ).
cnf(c_0_471,plain,
mult(ld(X1,unit),op_e) = ld(X1,op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_424]),c_0_454]),c_0_66]),c_0_56]) ).
cnf(c_0_472,plain,
ld(ld(X1,op_e),unit) = ld(op_e,X1),
inference(spm,[status(thm)],[c_0_308,c_0_424]) ).
cnf(c_0_473,plain,
rd(op_e,rd(mult(X1,X2),X1)) = mult(op_e,rd(rd(X1,X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_94]),c_0_204]) ).
cnf(c_0_474,plain,
mult(rd(X1,X2),rd(mult(X2,X3),X2)) = rd(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_215,c_0_32]) ).
cnf(c_0_475,plain,
rd(mult(rd(X1,op_e),op_f),X1) = rd(X1,rd(X1,op_e)),
inference(spm,[status(thm)],[c_0_455,c_0_32]) ).
cnf(c_0_476,plain,
mult(rd(X1,op_e),op_f) = mult(X1,op_e),
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_456,c_0_450]),c_0_69]),c_0_14]),c_0_83]),c_0_41]),c_0_457]) ).
cnf(c_0_477,plain,
rd(mult(X1,op_e),X1) = mult(X1,rd(op_e,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_416]),c_0_117]) ).
cnf(c_0_478,plain,
rd(ld(X1,X2),mult(X2,ld(X1,X2))) = ld(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_458,c_0_26]) ).
cnf(c_0_479,plain,
ld(rd(rd(op_e,X1),X1),op_d) = rd(mult(X1,X1),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_460]),c_0_201]) ).
cnf(c_0_480,plain,
mult(op_e,rd(X1,mult(op_f,X1))) = rd(X1,mult(op_e,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_461]) ).
cnf(c_0_481,plain,
rd(mult(X1,X1),mult(op_f,mult(X1,X1))) = ld(mult(X1,op_f),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_462]),c_0_326]) ).
cnf(c_0_482,plain,
rd(mult(X1,X1),mult(op_e,mult(X1,X1))) = ld(mult(X1,op_e),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_463]),c_0_326]) ).
cnf(c_0_483,plain,
ld(mult(op_e,rd(X1,op_f)),op_e) = rd(op_f,X1),
inference(spm,[status(thm)],[c_0_44,c_0_464]) ).
cnf(c_0_484,plain,
rd(X1,mult(op_e,ld(mult(X2,X1),X1))) = mult(X2,rd(X1,op_e)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_465]),c_0_52]),c_0_88]),c_0_24]),c_0_466]) ).
cnf(c_0_485,plain,
mult(rd(X1,X2),rd(X2,op_e)) = mult(rd(X1,mult(X2,op_e)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_467]),c_0_467]),c_0_294]) ).
cnf(c_0_486,plain,
mult(X1,ld(mult(op_e,X1),unit)) = ld(op_e,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_468,c_0_416]),c_0_469]) ).
cnf(c_0_487,plain,
mult(ld(op_e,unit),X1) = ld(op_e,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_471]),c_0_432]),c_0_449]),c_0_472]) ).
cnf(c_0_488,plain,
mult(mult(op_e,X1),ld(mult(X1,X2),X1)) = rd(mult(op_e,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_473]),c_0_131]),c_0_327]) ).
cnf(c_0_489,plain,
mult(rd(X1,X2),rd(X2,mult(X2,X3))) = rd(mult(X1,ld(X3,unit)),X2),
inference(spm,[status(thm)],[c_0_474,c_0_339]) ).
cnf(c_0_490,plain,
rd(X1,rd(X1,op_e)) = mult(X1,rd(op_e,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_475,c_0_476]),c_0_477]) ).
cnf(c_0_491,plain,
mult(ld(mult(X1,X2),X1),mult(X2,ld(X1,X2))) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_478]) ).
cnf(c_0_492,plain,
mult(ld(X1,X2),ld(mult(X2,X1),X2)) = rd(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_313,c_0_440]) ).
cnf(c_0_493,plain,
rd(rd(op_e,X1),X1) = mult(op_e,ld(mult(X1,X1),unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_479]),c_0_121]),c_0_84]) ).
cnf(c_0_494,plain,
mult(op_e,ld(mult(X1,op_f),X1)) = ld(mult(X1,op_e),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_481]),c_0_482]) ).
cnf(c_0_495,plain,
ld(mult(mult(X1,X2),X2),mult(X1,X2)) = ld(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_308,c_0_14]) ).
cnf(c_0_496,plain,
rd(op_f,mult(X1,op_f)) = ld(mult(op_e,X1),op_e),
inference(spm,[status(thm)],[c_0_483,c_0_21]) ).
cnf(c_0_497,plain,
rd(X1,mult(op_e,ld(X2,X1))) = mult(rd(X2,mult(X1,op_e)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_32]),c_0_485]) ).
cnf(c_0_498,plain,
ld(mult(X1,X2),ld(op_e,X2)) = ld(mult(mult(op_e,X1),X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_486]),c_0_487]),c_0_88]),c_0_24]) ).
cnf(c_0_499,plain,
rd(mult(op_e,X1),ld(X2,X1)) = mult(mult(op_e,X1),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_488,c_0_308]) ).
cnf(c_0_500,plain,
mult(X1,mult(ld(X1,X2),rd(op_e,X1))) = rd(mult(X2,op_e),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_467]),c_0_41]),c_0_490]),c_0_69]) ).
cnf(c_0_501,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_21,c_0_24]) ).
cnf(c_0_502,plain,
mult(ld(X1,X2),rd(ld(X2,X1),X2)) = ld(mult(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_440]),c_0_426]),c_0_20]),c_0_492]) ).
cnf(c_0_503,plain,
ld(mult(mult(op_e,X1),X1),op_e) = ld(mult(X1,X1),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_493]),c_0_32]),c_0_14]),c_0_32]),c_0_382]) ).
cnf(c_0_504,plain,
rd(ld(mult(X1,op_e),X1),op_e) = ld(mult(X1,op_f),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_494]),c_0_495]),c_0_457]),c_0_21]) ).
cnf(c_0_505,plain,
mult(ld(mult(op_e,X1),op_e),op_f) = ld(X1,op_f),
inference(spm,[status(thm)],[c_0_53,c_0_496]) ).
cnf(c_0_506,plain,
ld(mult(op_e,rd(op_f,X1)),op_e) = rd(X1,op_f),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_464]),c_0_14]) ).
cnf(c_0_507,plain,
mult(op_e,ld(op_f,unit)) = ld(op_e,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_189]),c_0_21]),c_0_152]) ).
cnf(c_0_508,plain,
ld(mult(X1,mult(op_e,ld(X2,X1))),X1) = rd(ld(X1,X2),op_e),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_497]),c_0_333]) ).
cnf(c_0_509,plain,
ld(mult(mult(op_e,X1),ld(X1,X2)),X1) = ld(X2,ld(op_e,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_32]),c_0_131]) ).
cnf(c_0_510,plain,
rd(X1,ld(X2,ld(op_e,X1))) = mult(X1,ld(ld(op_e,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_499,c_0_500]),c_0_21]),c_0_501]),c_0_28]),c_0_21]),c_0_501]),c_0_28]) ).
cnf(c_0_511,plain,
mult(X1,rd(X2,mult(mult(X2,X1),X2))) = rd(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_327]),c_0_44]),c_0_326]),c_0_458]) ).
cnf(c_0_512,plain,
mult(ld(mult(X1,mult(X2,X1)),X1),X2) = ld(mult(X2,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_495]),c_0_426]),c_0_20]) ).
cnf(c_0_513,plain,
ld(mult(X1,mult(rd(X1,X2),X1)),X1) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_327,c_0_48]) ).
cnf(c_0_514,plain,
rd(X1,mult(X2,ld(X1,unit))) = mult(X1,mult(X1,ld(X2,unit))),
inference(spm,[status(thm)],[c_0_26,c_0_340]) ).
cnf(c_0_515,plain,
mult(mult(mult(op_e,X1),X1),ld(mult(X1,X1),unit)) = op_e,
inference(spm,[status(thm)],[c_0_20,c_0_503]) ).
cnf(c_0_516,plain,
ld(mult(ld(X1,op_e),X2),X2) = ld(mult(op_e,X2),mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_472]),c_0_88]),c_0_24]) ).
cnf(c_0_517,plain,
ld(mult(X1,rd(X2,op_e)),X2) = mult(op_e,ld(mult(X1,X2),X2)),
inference(spm,[status(thm)],[c_0_44,c_0_484]) ).
cnf(c_0_518,plain,
ld(mult(X1,op_f),X1) = ld(op_f,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_504,c_0_450]),c_0_159]),c_0_83]) ).
cnf(c_0_519,plain,
mult(ld(X1,unit),op_f) = ld(X1,op_f),
inference(rw,[status(thm)],[c_0_505,c_0_424]) ).
cnf(c_0_520,plain,
ld(rd(op_f,X1),unit) = rd(X1,op_f),
inference(rw,[status(thm)],[c_0_506,c_0_424]) ).
cnf(c_0_521,plain,
mult(X1,ld(ld(X2,mult(X1,X1)),X1)) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_42,c_0_328]) ).
cnf(c_0_522,plain,
rd(X1,mult(op_e,mult(op_e,X1))) = ld(op_f,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_398]),c_0_395]),c_0_507]),c_0_159]),c_0_83]) ).
cnf(c_0_523,plain,
rd(ld(mult(X1,X2),X1),op_e) = ld(mult(X1,mult(op_e,X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_44]),c_0_327]) ).
cnf(c_0_524,plain,
ld(mult(ld(X1,unit),X2),ld(X1,unit)) = rd(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_61]),c_0_327]),c_0_20]),c_0_326]) ).
cnf(c_0_525,plain,
mult(X1,ld(ld(op_e,X1),X2)) = mult(mult(op_e,X1),ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_509]),c_0_510]) ).
cnf(c_0_526,plain,
mult(rd(X1,op_e),X1) = mult(X1,ld(op_e,X1)),
inference(spm,[status(thm)],[c_0_37,c_0_472]) ).
cnf(c_0_527,plain,
mult(ld(X1,X2),rd(X1,mult(X2,X1))) = rd(X2,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_20]),c_0_326]) ).
cnf(c_0_528,plain,
mult(ld(X1,rd(X2,X1)),rd(X1,X2)) = rd(X2,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_458]) ).
cnf(c_0_529,plain,
mult(mult(X1,X1),rd(X1,mult(op_e,X1))) = rd(mult(X1,X1),op_e),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_515]),c_0_109]) ).
cnf(c_0_530,plain,
ld(mult(X1,ld(X2,mult(op_e,X1))),X1) = ld(mult(op_e,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_182]),c_0_32]) ).
cnf(c_0_531,plain,
ld(mult(rd(X1,mult(X2,op_e)),X2),X2) = mult(op_e,ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_485]),c_0_32]) ).
cnf(c_0_532,plain,
mult(X1,ld(op_f,unit)) = rd(X1,op_f),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_518]),c_0_519]),c_0_42]),c_0_43]),c_0_520]) ).
cnf(c_0_533,plain,
ld(ld(X1,mult(X2,X2)),X2) = ld(X2,ld(X2,mult(X1,X2))),
inference(spm,[status(thm)],[c_0_14,c_0_521]) ).
cnf(c_0_534,plain,
rd(mult(op_f,mult(X1,op_f)),op_f) = mult(op_e,mult(op_e,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_522]),c_0_394]) ).
cnf(c_0_535,plain,
mult(mult(mult(X1,X1),op_f),X1) = mult(X1,mult(X1,mult(op_f,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_399]),c_0_301]),c_0_56]),c_0_302]),c_0_41]),c_0_257]) ).
cnf(c_0_536,plain,
rd(X1,mult(mult(op_e,X1),ld(X1,X2))) = rd(rd(X1,X2),op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_70]),c_0_110]),c_0_20]),c_0_524]),c_0_131]) ).
cnf(c_0_537,plain,
mult(mult(op_e,X1),ld(X1,ld(X1,X2))) = ld(rd(X1,op_e),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_525]),c_0_466]) ).
cnf(c_0_538,plain,
rd(X1,rd(mult(X2,mult(X1,X2)),X2)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_149,c_0_21]) ).
cnf(c_0_539,plain,
rd(mult(X1,mult(op_e,X1)),X1) = mult(X1,op_e),
inference(spm,[status(thm)],[c_0_394,c_0_437]) ).
cnf(c_0_540,plain,
ld(X1,ld(rd(X1,op_e),mult(X1,X2))) = ld(ld(op_e,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_526]),c_0_14]) ).
cnf(c_0_541,plain,
rd(rd(X1,X2),mult(X2,rd(X1,X2))) = rd(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_32]),c_0_528]) ).
cnf(c_0_542,plain,
ld(mult(mult(X1,X1),op_e),mult(X1,X1)) = rd(X1,mult(op_e,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_529]),c_0_327]) ).
cnf(c_0_543,plain,
rd(X1,ld(mult(op_e,X1),X2)) = mult(X1,ld(X2,mult(op_e,X1))),
inference(spm,[status(thm)],[c_0_26,c_0_530]) ).
cnf(c_0_544,plain,
ld(mult(X1,rd(X2,op_e)),X1) = mult(op_e,ld(mult(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_531,c_0_220]) ).
cnf(c_0_545,plain,
rd(rd(X1,op_e),op_e) = rd(X1,op_f),
inference(rw,[status(thm)],[c_0_343,c_0_532]) ).
cnf(c_0_546,plain,
mult(op_e,mult(op_e,X1)) = mult(op_f,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_518]),c_0_394]),c_0_534]),c_0_535]),c_0_14]),c_0_14]) ).
cnf(c_0_547,plain,
rd(X1,ld(rd(X1,op_e),X2)) = rd(mult(X1,ld(X2,X1)),op_e),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_537]),c_0_42]) ).
cnf(c_0_548,plain,
rd(rd(mult(X1,mult(X2,X1)),X1),X2) = rd(X2,mult(ld(X1,unit),X2)),
inference(spm,[status(thm)],[c_0_48,c_0_538]) ).
cnf(c_0_549,plain,
rd(mult(X1,mult(op_e,X2)),X2) = mult(X2,mult(ld(X2,X1),op_e)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_539]),c_0_69]) ).
cnf(c_0_550,plain,
ld(rd(X1,op_e),mult(X1,X2)) = mult(X1,ld(ld(op_e,X1),X2)),
inference(spm,[status(thm)],[c_0_20,c_0_540]) ).
cnf(c_0_551,plain,
ld(rd(X1,mult(X2,X1)),rd(X1,X2)) = mult(X2,rd(X1,X2)),
inference(spm,[status(thm)],[c_0_44,c_0_541]) ).
cnf(c_0_552,plain,
rd(X1,mult(op_e,X1)) = ld(op_e,unit),
inference(rw,[status(thm)],[c_0_542,c_0_450]) ).
cnf(c_0_553,plain,
rd(ld(op_e,X1),ld(X1,X2)) = mult(ld(op_e,X1),ld(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_500]),c_0_501]),c_0_28]),c_0_21]),c_0_501]),c_0_28]),c_0_21]) ).
cnf(c_0_554,plain,
rd(ld(ld(X1,X2),X2),ld(X1,X2)) = mult(ld(ld(X1,X2),unit),X1),
inference(spm,[status(thm)],[c_0_67,c_0_20]) ).
cnf(c_0_555,plain,
rd(ld(ld(X1,unit),X2),ld(X1,unit)) = 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(spm,[status(thm)],[c_0_70,c_0_27]),c_0_28]),c_0_29]),c_0_28]),c_0_211]),c_0_28]),c_0_28]) ).
cnf(c_0_556,plain,
mult(ld(X1,ld(X2,unit)),X2) = mult(X2,ld(mult(X1,X2),unit)),
inference(spm,[status(thm)],[c_0_168,c_0_23]) ).
cnf(c_0_557,plain,
ld(mult(X1,rd(X2,op_f)),X1) = mult(op_f,ld(mult(X1,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_545]),c_0_544]),c_0_546]) ).
cnf(c_0_558,plain,
rd(mult(X1,op_e),ld(X1,X2)) = mult(X1,ld(rd(X2,op_e),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_549]),c_0_116]),c_0_24]),c_0_432]),c_0_449]),c_0_41]),c_0_549]),c_0_116]),c_0_24]),c_0_549]),c_0_116]),c_0_24]),c_0_215]),c_0_459]) ).
cnf(c_0_559,plain,
ld(rd(X1,op_e),mult(X1,X2)) = mult(mult(op_e,X1),ld(X1,X2)),
inference(rw,[status(thm)],[c_0_550,c_0_525]) ).
cnf(c_0_560,plain,
rd(mult(op_e,X1),op_e) = mult(op_e,rd(X1,op_e)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_552]),c_0_378]) ).
cnf(c_0_561,plain,
mult(ld(op_e,X1),ld(mult(X1,X2),X1)) = rd(ld(op_e,X1),X2),
inference(spm,[status(thm)],[c_0_553,c_0_14]) ).
cnf(c_0_562,plain,
mult(mult(X1,op_f),X1) = mult(X1,mult(op_f,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_449]),c_0_555]),c_0_41]) ).
cnf(c_0_563,plain,
mult(mult(op_f,rd(X1,mult(X2,X1))),X1) = ld(rd(X2,op_f),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_557]),c_0_524]),c_0_63]),c_0_341]),c_0_28]),c_0_20]) ).
cnf(c_0_564,plain,
mult(rd(X1,X2),rd(X2,op_f)) = mult(rd(X1,mult(X2,op_f)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_532]),c_0_532]),c_0_294]) ).
cnf(c_0_565,plain,
rd(rd(X1,X2),op_e) = mult(rd(X1,mult(op_f,X2)),op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_558,c_0_559]),c_0_32]),c_0_536]),c_0_330]),c_0_560]),c_0_523]),c_0_69]),c_0_561]),c_0_294]),c_0_546]) ).
cnf(c_0_566,plain,
mult(rd(X1,mult(op_e,op_f)),op_e) = rd(X1,op_f),
inference(rw,[status(thm)],[c_0_320,c_0_532]) ).
cnf(c_0_567,plain,
mult(op_e,mult(op_f,ld(op_e,X1))) = mult(op_f,X1),
inference(spm,[status(thm)],[c_0_25,c_0_172]) ).
cnf(c_0_568,plain,
mult(X1,ld(mult(X1,X1),ld(X1,X2))) = ld(mult(X1,X1),X2),
inference(spm,[status(thm)],[c_0_253,c_0_20]) ).
cnf(c_0_569,plain,
ld(X1,mult(mult(X1,op_f),X2)) = mult(mult(op_f,X1),ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_562]),c_0_14]) ).
cnf(c_0_570,plain,
ld(rd(rd(X1,X2),op_f),X1) = mult(mult(op_f,X1),ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_48]),c_0_131]) ).
cnf(c_0_571,plain,
rd(rd(X1,X2),op_f) = rd(X1,mult(op_f,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_195]),c_0_467]),c_0_21]),c_0_566]) ).
cnf(c_0_572,plain,
ld(op_e,mult(op_f,X1)) = mult(op_f,ld(op_e,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_567]) ).
cnf(c_0_573,plain,
ld(mult(X1,X1),ld(X1,X2)) = ld(X1,ld(mult(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_568]) ).
cnf(c_0_574,plain,
mult(ld(mult(X1,X2),X2),ld(X2,unit)) = ld(X2,ld(X1,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_36]),c_0_21]) ).
cnf(c_0_575,plain,
rd(mult(op_e,mult(X1,op_f)),op_e) = mult(mult(op_e,X1),op_e),
inference(spm,[status(thm)],[c_0_319,c_0_21]) ).
cnf(c_0_576,plain,
mult(X1,mult(mult(op_f,X1),ld(X1,X2))) = mult(mult(X1,op_f),X2),
inference(spm,[status(thm)],[c_0_20,c_0_569]) ).
cnf(c_0_577,plain,
mult(mult(op_f,X1),ld(X1,X2)) = mult(op_f,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_570,c_0_571]),c_0_44]) ).
cnf(c_0_578,plain,
mult(op_f,ld(op_e,ld(op_f,X1))) = ld(op_e,X1),
inference(spm,[status(thm)],[c_0_572,c_0_20]) ).
cnf(c_0_579,plain,
ld(X1,rd(ld(X1,X2),X1)) = rd(ld(mult(X1,X1),X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_573]),c_0_20]) ).
cnf(c_0_580,plain,
mult(ld(mult(X1,X2),X1),ld(X1,X2)) = ld(X2,ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_363]),c_0_14]),c_0_327]) ).
cnf(c_0_581,plain,
ld(ld(mult(X1,X2),X2),ld(X2,X1)) = ld(X2,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_574]),c_0_65]),c_0_27]),c_0_58]),c_0_21]),c_0_225]),c_0_58]),c_0_21]) ).
cnf(c_0_582,plain,
mult(op_e,rd(op_e,X1)) = rd(op_f,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_483,c_0_424]),c_0_115]) ).
cnf(c_0_583,plain,
mult(mult(mult(op_e,X1),op_e),op_e) = mult(op_e,mult(X1,op_f)),
inference(spm,[status(thm)],[c_0_32,c_0_575]) ).
cnf(c_0_584,plain,
mult(op_e,rd(mult(op_e,X1),op_e)) = rd(mult(op_f,X1),op_e),
inference(spm,[status(thm)],[c_0_215,c_0_83]) ).
cnf(c_0_585,plain,
mult(mult(X1,op_f),X2) = mult(X1,mult(op_f,X2)),
inference(rw,[status(thm)],[c_0_576,c_0_577]) ).
cnf(c_0_586,plain,
mult(rd(mult(X1,X2),mult(X2,op_e)),X2) = mult(X1,rd(X2,op_e)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_467]),c_0_294]),c_0_467]) ).
cnf(c_0_587,plain,
rd(mult(X1,X2),mult(op_e,X2)) = mult(rd(X1,mult(X2,op_e)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_549]),c_0_116]),c_0_24]) ).
cnf(c_0_588,plain,
mult(rd(X1,mult(op_e,op_f)),op_f) = mult(X1,ld(op_e,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_384]),c_0_579]),c_0_83]),c_0_294]),c_0_189]),c_0_137]) ).
cnf(c_0_589,plain,
ld(ld(mult(X1,X2),X1),ld(X1,X2)) = mult(X2,ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_580]),c_0_26]) ).
cnf(c_0_590,plain,
ld(rd(op_e,X1),op_f) = mult(X1,op_e),
inference(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_581,c_0_582]),c_0_330]),c_0_152]),c_0_339]),c_0_44]),c_0_44]),c_0_83]) ).
cnf(c_0_591,plain,
mult(op_e,mult(op_e,mult(X1,op_e))) = mult(mult(op_f,X1),op_e),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_584]),c_0_32]),c_0_25]),c_0_176]) ).
cnf(c_0_592,plain,
mult(X1,mult(ld(X1,unit),mult(X2,X1))) = rd(X2,ld(X1,unit)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_41]),c_0_257]),c_0_28]),c_0_441]) ).
cnf(c_0_593,plain,
mult(rd(X1,op_e),mult(op_f,X2)) = mult(mult(X1,op_e),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_585,c_0_586]),c_0_178]),c_0_189]),c_0_587]),c_0_189]),c_0_588]),c_0_467]) ).
cnf(c_0_594,plain,
mult(mult(op_f,X1),op_e) = mult(op_f,mult(X1,op_e)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_590]),c_0_518]),c_0_394]),c_0_534]),c_0_591]) ).
cnf(c_0_595,plain,
mult(op_f,ld(op_e,mult(X1,op_e))) = mult(mult(op_e,X1),op_e),
inference(spm,[status(thm)],[c_0_16,c_0_83]) ).
cnf(c_0_596,plain,
mult(mult(op_e,X1),op_e) = mult(op_e,mult(X1,op_e)),
inference(rw,[status(thm)],[inference(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_554,c_0_450]),c_0_394]),c_0_454]),c_0_441]),c_0_592]),c_0_237]),c_0_20]),c_0_41]) ).
cnf(c_0_597,plain,
rd(mult(X1,mult(X2,X2)),X2) = mult(X2,mult(ld(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_21,c_0_126]) ).
cnf(c_0_598,plain,
mult(mult(mult(X1,op_e),X2),op_e) = mult(X1,mult(op_e,mult(X2,op_e))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_593]),c_0_594]),c_0_572]),c_0_595]),c_0_596]) ).
cnf(c_0_599,plain,
mult(X1,mult(ld(X1,op_e),X1)) = mult(op_e,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_424]),c_0_69]),c_0_14]),c_0_41]),c_0_597]) ).
cnf(c_0_600,plain,
rd(op_e,rd(op_e,X1)) = rd(mult(op_e,X1),op_e),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_416]),c_0_28]) ).
cnf(c_0_601,plain,
mult(mult(op_e,X1),mult(op_e,X2)) = mult(op_e,mult(mult(X1,op_e),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_596]),c_0_14]) ).
cnf(c_0_602,negated_conjecture,
mult(op_e,mult(a,mult(b,op_e))) != mult(mult(mult(op_e,a),b),op_e),
goals ).
cnf(c_0_603,plain,
mult(mult(mult(op_e,X1),X2),op_e) = mult(op_e,mult(X1,mult(X2,op_e))),
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_598,c_0_418]),c_0_599]),c_0_600]),c_0_560]),c_0_601]),c_0_32]) ).
cnf(c_0_604,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_602,c_0_603])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP692-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 01:31:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.62 start to proof: theBenchmark
% 40.85/40.90 % Version : CSE_E---1.5
% 40.85/40.90 % Problem : theBenchmark.p
% 40.85/40.90 % Proof found
% 40.85/40.90 % SZS status Theorem for theBenchmark.p
% 40.85/40.90 % SZS output start Proof
% See solution above
% 40.97/40.93 % Total time : 40.263000 s
% 40.97/40.93 % SZS output end Proof
% 40.97/40.93 % Total time : 40.268000 s
%------------------------------------------------------------------------------