TSTP Solution File: GRP662-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP662-1 : 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 : n014.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 00:22:52 EDT 2023
% Result : Unsatisfiable 73.64s 73.67s
% Output : CNFRefutation 73.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 18
% Syntax : Number of formulae : 319 ( 311 unt; 8 typ; 0 def)
% Number of atoms : 311 ( 310 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 : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 439 ( 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,
op_c: $i ).
tff(decl_27,type,
op_d: $i ).
tff(decl_28,type,
a: $i ).
tff(decl_29,type,
b: $i ).
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(c09,axiom,
mult(op_c,op_d) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
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(c06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(goals,negated_conjecture,
mult(mult(a,mult(op_d,op_c)),b) != mult(a,mult(mult(op_d,op_c),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_0_10,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
c07 ).
cnf(c_0_11,axiom,
mult(op_c,op_d) = unit,
c09 ).
cnf(c_0_12,axiom,
mult(X1,unit) = X1,
c05 ).
cnf(c_0_13,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
c08 ).
cnf(c_0_14,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_15,plain,
mult(op_c,mult(X1,op_d)) = rd(mult(op_c,X1),op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_16,axiom,
mult(rd(X1,X2),X2) = X1,
c03 ).
cnf(c_0_17,axiom,
rd(mult(X1,X2),X2) = X1,
c04 ).
cnf(c_0_18,plain,
mult(mult(op_c,X1),op_d) = ld(op_d,mult(X1,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11]),c_0_14]) ).
cnf(c_0_19,axiom,
ld(X1,mult(X1,X2)) = X2,
c02 ).
cnf(c_0_20,plain,
rd(mult(op_c,rd(X1,op_d)),op_c) = mult(op_c,X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
rd(ld(op_d,mult(X1,op_d)),op_d) = mult(op_c,X1),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
ld(rd(mult(X1,X2),X1),mult(X1,mult(X2,X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
cnf(c_0_23,axiom,
mult(X1,ld(X1,X2)) = X2,
c01 ).
cnf(c_0_24,plain,
mult(mult(op_c,X1),op_c) = mult(op_c,rd(X1,op_d)),
inference(spm,[status(thm)],[c_0_16,c_0_20]) ).
cnf(c_0_25,plain,
mult(op_c,rd(X1,op_d)) = rd(ld(op_d,X1),op_d),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_26,plain,
ld(op_c,rd(mult(op_c,X1),op_c)) = mult(X1,op_d),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_27,plain,
ld(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
mult(mult(op_c,X1),op_c) = rd(ld(op_d,X1),op_d),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
mult(ld(op_c,X1),op_d) = ld(op_c,rd(X1,op_c)),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_30,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_31,plain,
ld(rd(mult(op_c,X1),op_c),unit) = mult(op_c,ld(X1,op_d)),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_32,plain,
mult(mult(X1,ld(X2,X3)),ld(ld(X2,X3),X3)) = mult(mult(X1,X2),ld(X2,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_33,plain,
ld(mult(op_c,X1),rd(ld(op_d,X1),op_d)) = op_c,
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_34,plain,
ld(op_c,rd(ld(op_d,X1),op_d)) = rd(X1,op_d),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_35,plain,
mult(rd(mult(X1,X2),X1),X3) = mult(X1,mult(X2,ld(X1,X3))),
inference(spm,[status(thm)],[c_0_10,c_0_23]) ).
cnf(c_0_36,plain,
rd(rd(ld(op_d,X1),op_d),op_c) = mult(op_c,X1),
inference(rw,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_37,plain,
ld(ld(op_c,X1),ld(op_c,rd(X1,op_c))) = op_d,
inference(spm,[status(thm)],[c_0_19,c_0_29]) ).
cnf(c_0_38,plain,
ld(op_d,ld(op_c,rd(X1,op_c))) = mult(X1,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_23]),c_0_29]) ).
cnf(c_0_39,plain,
rd(unit,mult(op_c,ld(X1,op_d))) = rd(mult(op_c,X1),op_c),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_41,plain,
mult(mult(X1,mult(op_c,X2)),op_c) = mult(mult(X1,op_c),rd(X2,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_42,plain,
mult(op_c,mult(rd(X1,op_d),ld(op_c,X2))) = mult(mult(op_c,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_25]),c_0_36]) ).
cnf(c_0_43,plain,
mult(mult(X1,ld(op_c,X2)),op_d) = mult(mult(X1,op_d),mult(X2,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_37]),c_0_38]) ).
cnf(c_0_44,plain,
rd(mult(op_c,rd(op_d,X1)),op_c) = rd(unit,mult(op_c,X1)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
mult(mult(rd(X1,mult(op_c,X2)),op_c),rd(X2,op_d)) = mult(X1,op_c),
inference(spm,[status(thm)],[c_0_41,c_0_16]) ).
cnf(c_0_46,plain,
ld(op_c,rd(mult(mult(op_c,X1),X2),op_c)) = mult(X1,mult(X2,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_42]),c_0_43]),c_0_16]) ).
cnf(c_0_47,plain,
mult(rd(unit,mult(op_c,X1)),op_c) = mult(op_c,rd(op_d,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_44]) ).
cnf(c_0_48,plain,
mult(rd(X1,mult(op_c,X2)),op_c) = rd(mult(X1,op_c),rd(X2,op_d)),
inference(spm,[status(thm)],[c_0_17,c_0_45]) ).
cnf(c_0_49,plain,
rd(ld(op_c,rd(X1,op_c)),op_d) = ld(op_c,X1),
inference(spm,[status(thm)],[c_0_17,c_0_29]) ).
cnf(c_0_50,plain,
mult(X1,mult(ld(mult(op_c,X1),X2),op_d)) = ld(op_c,rd(X2,op_c)),
inference(spm,[status(thm)],[c_0_46,c_0_23]) ).
cnf(c_0_51,plain,
mult(op_c,rd(op_d,ld(op_c,X1))) = mult(rd(unit,X1),op_c),
inference(spm,[status(thm)],[c_0_47,c_0_23]) ).
cnf(c_0_52,plain,
mult(op_c,rd(op_d,X1)) = rd(op_c,rd(X1,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_14]) ).
cnf(c_0_53,plain,
rd(ld(op_c,X1),op_d) = ld(op_c,mult(X1,op_c)),
inference(spm,[status(thm)],[c_0_49,c_0_17]) ).
cnf(c_0_54,plain,
mult(ld(op_c,rd(X1,op_c)),op_c) = mult(op_c,ld(mult(op_c,op_c),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_50]),c_0_21]) ).
cnf(c_0_55,plain,
rd(op_c,ld(op_c,mult(X1,op_c))) = mult(rd(unit,X1),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_56,plain,
rd(ld(op_d,unit),op_d) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_57,plain,
mult(op_c,ld(mult(op_c,op_c),mult(op_c,X1))) = mult(mult(X1,op_d),op_c),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_58,plain,
ld(mult(rd(unit,X1),op_c),op_c) = ld(op_c,mult(X1,op_c)),
inference(spm,[status(thm)],[c_0_40,c_0_55]) ).
cnf(c_0_59,plain,
mult(mult(X1,rd(X2,op_d)),ld(rd(X2,op_d),rd(ld(op_d,X2),op_d))) = mult(mult(X1,op_c),rd(X2,op_d)),
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_60,plain,
rd(ld(op_d,ld(op_d,unit)),op_d) = mult(op_c,mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_25,c_0_56]) ).
cnf(c_0_61,plain,
ld(mult(op_c,op_c),mult(op_c,X1)) = ld(op_c,mult(mult(X1,op_d),op_c)),
inference(spm,[status(thm)],[c_0_19,c_0_57]) ).
cnf(c_0_62,plain,
ld(op_c,mult(ld(X1,unit),op_c)) = ld(mult(X1,op_c),op_c),
inference(spm,[status(thm)],[c_0_58,c_0_30]) ).
cnf(c_0_63,plain,
rd(op_c,rd(ld(X1,op_d),op_d)) = mult(op_c,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_39]),c_0_16]),c_0_14]) ).
cnf(c_0_64,plain,
mult(mult(X1,op_d),ld(op_d,unit)) = mult(mult(X1,op_c),op_d),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_65,plain,
mult(mult(X1,op_c),op_d) = ld(op_d,ld(op_c,X1)),
inference(spm,[status(thm)],[c_0_38,c_0_17]) ).
cnf(c_0_66,plain,
mult(op_c,mult(op_d,X1)) = rd(rd(X1,op_d),op_c),
inference(spm,[status(thm)],[c_0_36,c_0_19]) ).
cnf(c_0_67,plain,
mult(op_d,mult(X1,op_d)) = ld(op_c,rd(X1,op_c)),
inference(spm,[status(thm)],[c_0_23,c_0_38]) ).
cnf(c_0_68,plain,
mult(mult(X1,mult(op_c,op_c)),ld(mult(op_d,op_c),op_c)) = mult(mult(X1,op_c),mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_56]),c_0_56]),c_0_61]),c_0_18]),c_0_11]),c_0_62]),c_0_56]) ).
cnf(c_0_69,plain,
rd(ld(X1,op_d),op_d) = ld(mult(op_c,X1),op_c),
inference(spm,[status(thm)],[c_0_40,c_0_63]) ).
cnf(c_0_70,plain,
mult(mult(X1,op_d),ld(op_d,unit)) = ld(op_d,ld(op_c,X1)),
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
mult(rd(rd(X1,op_d),op_c),op_d) = ld(op_d,mult(mult(op_d,X1),op_d)),
inference(spm,[status(thm)],[c_0_18,c_0_66]) ).
cnf(c_0_72,plain,
ld(op_c,rd(rd(X1,op_d),op_c)) = mult(op_d,X1),
inference(spm,[status(thm)],[c_0_67,c_0_16]) ).
cnf(c_0_73,plain,
ld(rd(mult(X1,X2),X1),X1) = mult(X1,ld(X2,unit)),
inference(spm,[status(thm)],[c_0_27,c_0_12]) ).
cnf(c_0_74,plain,
mult(mult(op_c,op_c),ld(mult(op_d,op_c),op_c)) = mult(op_c,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_14]),c_0_14]) ).
cnf(c_0_75,plain,
ld(mult(X1,X2),mult(mult(X1,X3),X2)) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_76,plain,
mult(ld(mult(op_c,X1),op_c),op_d) = ld(X1,op_d),
inference(spm,[status(thm)],[c_0_16,c_0_69]) ).
cnf(c_0_77,plain,
mult(X1,mult(X2,ld(X1,unit))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_12,c_0_35]) ).
cnf(c_0_78,plain,
mult(ld(op_d,mult(mult(op_d,X1),op_d)),ld(op_d,unit)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_19]) ).
cnf(c_0_79,plain,
mult(mult(op_c,op_c),ld(ld(mult(op_d,op_c),op_c),unit)) = op_c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_17]),c_0_19]) ).
cnf(c_0_80,plain,
ld(mult(op_c,X1),X1) = ld(X1,mult(op_d,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_11]),c_0_14]) ).
cnf(c_0_81,plain,
mult(ld(X1,op_c),op_d) = ld(ld(op_c,X1),op_d),
inference(spm,[status(thm)],[c_0_76,c_0_23]) ).
cnf(c_0_82,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_19,c_0_77]) ).
cnf(c_0_83,plain,
ld(op_c,unit) = op_d,
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_84,plain,
ld(op_d,mult(mult(op_d,X1),op_d)) = rd(X1,ld(op_d,unit)),
inference(spm,[status(thm)],[c_0_17,c_0_78]) ).
cnf(c_0_85,plain,
rd(mult(X1,mult(X2,X3)),mult(X1,X3)) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_17,c_0_10]) ).
cnf(c_0_86,plain,
ld(ld(mult(op_d,op_c),op_c),unit) = ld(op_c,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_79]),c_0_80]) ).
cnf(c_0_87,plain,
ld(op_d,mult(ld(X1,unit),op_d)) = ld(mult(X1,op_d),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_73]),c_0_18]),c_0_82]),c_0_83]) ).
cnf(c_0_88,plain,
mult(op_d,ld(mult(X1,op_d),X2)) = ld(ld(op_c,X1),mult(op_d,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_67]),c_0_53]),c_0_16]) ).
cnf(c_0_89,plain,
rd(mult(X1,mult(X2,op_d)),op_d) = ld(op_c,mult(mult(op_c,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_16]) ).
cnf(c_0_90,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(mult(X1,X3),ld(X3,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_91,plain,
mult(op_d,rd(X1,ld(op_d,unit))) = mult(mult(op_d,X1),op_d),
inference(spm,[status(thm)],[c_0_23,c_0_84]) ).
cnf(c_0_92,plain,
rd(mult(X1,mult(X2,ld(X1,X3))),X3) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_85,c_0_23]) ).
cnf(c_0_93,plain,
mult(ld(mult(op_d,op_c),op_c),ld(op_c,mult(op_d,op_c))) = unit,
inference(spm,[status(thm)],[c_0_23,c_0_86]) ).
cnf(c_0_94,plain,
mult(op_c,ld(mult(X1,op_c),op_c)) = mult(ld(X1,unit),op_c),
inference(spm,[status(thm)],[c_0_23,c_0_62]) ).
cnf(c_0_95,plain,
ld(ld(op_c,X1),mult(op_d,op_d)) = mult(ld(X1,unit),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_87]),c_0_88]) ).
cnf(c_0_96,plain,
mult(op_d,mult(mult(X1,op_d),ld(op_d,X2))) = mult(ld(op_c,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_89]),c_0_11]),c_0_14]) ).
cnf(c_0_97,plain,
ld(op_d,ld(op_c,mult(op_d,X1))) = ld(ld(op_d,unit),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_70]),c_0_23]),c_0_14]) ).
cnf(c_0_98,plain,
rd(op_c,mult(op_d,op_c)) = ld(op_d,unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_12]),c_0_94]),c_0_17]) ).
cnf(c_0_99,plain,
ld(mult(X1,X2),mult(X3,X2)) = ld(X2,mult(ld(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_75,c_0_23]) ).
cnf(c_0_100,plain,
mult(ld(mult(op_c,X1),unit),op_d) = ld(X1,mult(op_d,op_d)),
inference(spm,[status(thm)],[c_0_95,c_0_19]) ).
cnf(c_0_101,plain,
mult(ld(op_c,X1),mult(op_d,X2)) = mult(op_d,mult(mult(X1,op_d),X2)),
inference(spm,[status(thm)],[c_0_96,c_0_19]) ).
cnf(c_0_102,plain,
mult(op_d,ld(ld(op_d,unit),X1)) = ld(op_c,mult(op_d,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_97]) ).
cnf(c_0_103,plain,
ld(ld(op_d,unit),op_c) = mult(op_d,op_c),
inference(spm,[status(thm)],[c_0_40,c_0_98]) ).
cnf(c_0_104,plain,
ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1),
inference(spm,[status(thm)],[c_0_99,c_0_14]) ).
cnf(c_0_105,plain,
rd(ld(X1,mult(op_d,op_d)),op_d) = ld(mult(op_c,X1),unit),
inference(spm,[status(thm)],[c_0_17,c_0_100]) ).
cnf(c_0_106,plain,
rd(mult(op_d,X1),op_d) = ld(op_c,rd(X1,op_d)),
inference(spm,[status(thm)],[c_0_49,c_0_72]) ).
cnf(c_0_107,plain,
mult(rd(unit,op_c),mult(op_c,X1)) = mult(op_c,mult(op_d,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_108,plain,
mult(mult(mult(op_c,X1),X2),op_d) = ld(op_d,mult(X1,mult(X2,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_42]),c_0_43]),c_0_16]) ).
cnf(c_0_109,plain,
mult(rd(X1,op_d),mult(op_d,X2)) = mult(op_d,mult(ld(op_d,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_34]),c_0_16]) ).
cnf(c_0_110,plain,
mult(op_d,mult(op_d,op_c)) = ld(op_c,mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_111,plain,
mult(rd(X1,op_d),ld(op_c,X2)) = ld(op_c,mult(mult(op_c,X1),X2)),
inference(spm,[status(thm)],[c_0_19,c_0_42]) ).
cnf(c_0_112,plain,
mult(X1,ld(mult(X2,X1),X1)) = mult(ld(X2,unit),X1),
inference(spm,[status(thm)],[c_0_23,c_0_104]) ).
cnf(c_0_113,plain,
mult(ld(op_d,unit),mult(op_d,op_c)) = op_c,
inference(spm,[status(thm)],[c_0_16,c_0_98]) ).
cnf(c_0_114,plain,
ld(ld(op_d,unit),unit) = ld(op_d,ld(op_c,op_d)),
inference(spm,[status(thm)],[c_0_97,c_0_12]) ).
cnf(c_0_115,plain,
ld(op_c,ld(mult(op_c,X1),op_c)) = ld(rd(X1,op_d),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_27]),c_0_106]),c_0_69]),c_0_106]),c_0_23]) ).
cnf(c_0_116,plain,
mult(rd(unit,op_c),mult(op_c,X1)) = rd(rd(X1,op_d),op_c),
inference(rw,[status(thm)],[c_0_107,c_0_66]) ).
cnf(c_0_117,plain,
mult(op_c,ld(op_d,ld(op_c,X1))) = rd(mult(op_c,mult(X1,op_c)),op_c),
inference(spm,[status(thm)],[c_0_15,c_0_65]) ).
cnf(c_0_118,plain,
rd(ld(op_d,ld(op_c,X1)),op_d) = mult(X1,op_c),
inference(spm,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_119,plain,
rd(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_85,c_0_16]) ).
cnf(c_0_120,plain,
rd(ld(op_d,mult(X1,mult(X2,op_d))),op_d) = mult(mult(op_c,X1),X2),
inference(spm,[status(thm)],[c_0_17,c_0_108]) ).
cnf(c_0_121,plain,
mult(op_d,mult(ld(op_d,X1),mult(op_d,op_c))) = ld(op_c,mult(mult(op_c,X1),mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_122,plain,
mult(ld(op_d,ld(op_c,op_d)),mult(op_d,op_c)) = mult(mult(op_d,op_d),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_13]),c_0_114]) ).
cnf(c_0_123,plain,
ld(op_c,ld(op_c,mult(op_d,op_c))) = ld(rd(op_c,op_d),unit),
inference(spm,[status(thm)],[c_0_115,c_0_80]) ).
cnf(c_0_124,plain,
ld(op_c,rd(unit,op_c)) = mult(op_d,op_d),
inference(spm,[status(thm)],[c_0_26,c_0_11]) ).
cnf(c_0_125,plain,
mult(rd(unit,op_c),rd(mult(op_c,mult(X1,op_c)),op_c)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_17]) ).
cnf(c_0_126,plain,
mult(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,rd(X2,X3)),
inference(spm,[status(thm)],[c_0_16,c_0_119]) ).
cnf(c_0_127,plain,
mult(mult(op_c,rd(X1,mult(X2,op_d))),X2) = rd(ld(op_d,X1),op_d),
inference(spm,[status(thm)],[c_0_120,c_0_16]) ).
cnf(c_0_128,plain,
mult(mult(op_c,op_c),rd(X1,op_d)) = rd(ld(op_d,mult(op_c,X1)),op_d),
inference(spm,[status(thm)],[c_0_28,c_0_41]) ).
cnf(c_0_129,plain,
mult(op_d,mult(mult(op_d,op_d),op_c)) = ld(rd(op_c,op_d),unit),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_23]),c_0_110]),c_0_123]) ).
cnf(c_0_130,plain,
rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1),
inference(spm,[status(thm)],[c_0_85,c_0_23]) ).
cnf(c_0_131,plain,
mult(op_c,ld(mult(op_c,op_c),unit)) = mult(mult(op_d,op_d),op_c),
inference(spm,[status(thm)],[c_0_54,c_0_124]) ).
cnf(c_0_132,plain,
rd(mult(op_c,mult(X1,op_c)),op_c) = ld(rd(unit,op_c),X1),
inference(spm,[status(thm)],[c_0_19,c_0_125]) ).
cnf(c_0_133,plain,
mult(rd(mult(X1,X2),X3),X1) = mult(X1,rd(X2,ld(X1,X3))),
inference(spm,[status(thm)],[c_0_126,c_0_23]) ).
cnf(c_0_134,plain,
rd(X1,unit) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_135,plain,
mult(op_c,rd(X1,mult(X2,op_d))) = rd(rd(ld(op_d,X1),op_d),X2),
inference(spm,[status(thm)],[c_0_17,c_0_127]) ).
cnf(c_0_136,plain,
mult(ld(op_d,unit),ld(op_d,X1)) = ld(op_d,mult(op_c,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_128]),c_0_16]),c_0_18]),c_0_11]) ).
cnf(c_0_137,plain,
ld(op_d,ld(rd(op_c,op_d),unit)) = mult(mult(op_d,op_d),op_c),
inference(spm,[status(thm)],[c_0_19,c_0_129]) ).
cnf(c_0_138,plain,
mult(op_c,ld(rd(X1,op_d),X2)) = ld(mult(op_c,X1),mult(op_c,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_36]) ).
cnf(c_0_139,plain,
ld(rd(unit,op_c),rd(rd(X1,op_d),op_c)) = mult(op_c,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_11]),c_0_66]) ).
cnf(c_0_140,plain,
rd(op_c,mult(mult(op_d,op_d),op_c)) = ld(rd(unit,op_c),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_12]),c_0_132]) ).
cnf(c_0_141,plain,
mult(X1,mult(ld(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_142,plain,
rd(mult(mult(X1,op_c),rd(X2,op_d)),op_c) = mult(X1,mult(op_c,X2)),
inference(spm,[status(thm)],[c_0_17,c_0_41]) ).
cnf(c_0_143,plain,
mult(X1,mult(ld(X1,mult(X2,X1)),op_d)) = mult(X2,mult(X1,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_13]),c_0_46]) ).
cnf(c_0_144,plain,
mult(rd(X1,rd(mult(op_c,X2),op_c)),op_c) = rd(mult(X1,op_c),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_77]),c_0_83]),c_0_17]) ).
cnf(c_0_145,plain,
mult(X1,rd(X2,ld(X1,unit))) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_146,plain,
mult(op_c,rd(mult(X1,X2),X1)) = rd(mult(mult(op_c,X1),X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_85]),c_0_120]) ).
cnf(c_0_147,plain,
mult(ld(op_d,unit),mult(mult(op_d,op_d),op_c)) = mult(op_d,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_12]),c_0_80]),c_0_97]),c_0_103]) ).
cnf(c_0_148,plain,
rd(mult(op_d,op_c),ld(op_d,unit)) = ld(op_d,ld(op_c,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_110]),c_0_29]),c_0_17]) ).
cnf(c_0_149,plain,
mult(op_c,ld(op_d,ld(op_c,X1))) = ld(rd(unit,op_c),X1),
inference(rw,[status(thm)],[c_0_117,c_0_132]) ).
cnf(c_0_150,plain,
mult(op_c,ld(op_d,unit)) = ld(rd(unit,op_c),op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_56]),c_0_17]) ).
cnf(c_0_151,plain,
mult(ld(rd(unit,op_c),op_c),mult(mult(op_d,op_d),op_c)) = op_c,
inference(spm,[status(thm)],[c_0_16,c_0_140]) ).
cnf(c_0_152,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_141,c_0_19]) ).
cnf(c_0_153,plain,
mult(X1,rd(mult(op_c,X2),op_c)) = rd(mult(mult(X1,op_c),X2),op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_17]),c_0_15]) ).
cnf(c_0_154,plain,
rd(rd(op_c,op_d),op_c) = rd(unit,rd(unit,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_77]),c_0_16]),c_0_40]) ).
cnf(c_0_155,plain,
mult(ld(X1,mult(X2,X1)),op_d) = ld(X1,mult(X2,mult(X1,op_d))),
inference(spm,[status(thm)],[c_0_19,c_0_143]) ).
cnf(c_0_156,plain,
mult(rd(X1,rd(unit,op_c)),op_c) = rd(mult(X1,op_c),op_d),
inference(spm,[status(thm)],[c_0_144,c_0_11]) ).
cnf(c_0_157,plain,
ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_19,c_0_145]) ).
cnf(c_0_158,plain,
rd(op_c,ld(op_d,unit)) = ld(rd(unit,op_c),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_149]),c_0_150]),c_0_151]) ).
cnf(c_0_159,plain,
mult(mult(X1,op_d),ld(op_d,X2)) = ld(op_d,mult(ld(op_c,X1),X2)),
inference(spm,[status(thm)],[c_0_19,c_0_96]) ).
cnf(c_0_160,plain,
mult(X1,mult(ld(X1,mult(X2,X1)),X3)) = mult(X2,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_152,c_0_17]) ).
cnf(c_0_161,plain,
ld(X1,rd(mult(mult(X1,op_c),X2),op_c)) = rd(mult(op_c,X2),op_c),
inference(spm,[status(thm)],[c_0_19,c_0_153]) ).
cnf(c_0_162,plain,
rd(rd(unit,rd(unit,op_c)),op_c) = ld(rd(unit,op_c),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_66]),c_0_154]) ).
cnf(c_0_163,plain,
ld(op_c,rd(X1,rd(unit,op_c))) = mult(op_d,mult(X1,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_29]),c_0_72]),c_0_11]),c_0_12]) ).
cnf(c_0_164,plain,
ld(op_d,ld(op_d,ld(op_c,op_d))) = ld(rd(unit,op_c),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_65]),c_0_158]) ).
cnf(c_0_165,plain,
ld(op_d,mult(ld(op_c,X1),ld(op_d,ld(op_c,X2)))) = mult(mult(X1,mult(X2,op_c)),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_65]),c_0_159]) ).
cnf(c_0_166,plain,
mult(ld(X1,mult(X2,X1)),X3) = ld(X1,mult(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_19,c_0_160]) ).
cnf(c_0_167,plain,
rd(mult(op_c,ld(mult(X1,op_c),X2)),op_c) = ld(X1,rd(X2,op_c)),
inference(spm,[status(thm)],[c_0_161,c_0_23]) ).
cnf(c_0_168,plain,
mult(mult(X1,ld(rd(unit,op_c),op_d)),op_c) = mult(mult(X1,op_c),mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_162]),c_0_163]),c_0_14]) ).
cnf(c_0_169,plain,
mult(mult(X1,op_d),ld(rd(unit,op_c),op_d)) = mult(mult(X1,mult(op_d,op_c)),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_164]),c_0_165]) ).
cnf(c_0_170,plain,
rd(ld(X1,mult(X2,mult(X1,X3))),X3) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_166]) ).
cnf(c_0_171,plain,
mult(ld(X1,rd(X2,op_c)),op_c) = mult(op_c,ld(mult(X1,op_c),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_167]) ).
cnf(c_0_172,plain,
mult(mult(mult(X1,mult(op_d,op_c)),op_d),op_c) = mult(mult(mult(X1,op_d),op_c),mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_173,plain,
mult(ld(op_c,rd(X1,op_d)),X2) = mult(op_d,mult(X1,ld(op_d,X2))),
inference(spm,[status(thm)],[c_0_35,c_0_106]) ).
cnf(c_0_174,plain,
rd(ld(mult(op_d,op_c),mult(op_c,X1)),X1) = ld(mult(op_d,op_c),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_61]),c_0_108]),c_0_15]),c_0_171]),c_0_19]),c_0_61]),c_0_18]),c_0_11]),c_0_62]) ).
cnf(c_0_175,plain,
mult(mult(mult(op_d,mult(X1,op_c)),op_d),op_c) = mult(mult(mult(op_d,X1),op_c),mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_19]),c_0_29]),c_0_72]) ).
cnf(c_0_176,plain,
mult(ld(mult(op_d,op_c),op_c),X1) = ld(mult(op_d,op_c),mult(op_c,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_174]) ).
cnf(c_0_177,plain,
mult(mult(mult(op_d,op_c),ld(op_c,X1)),mult(op_d,op_c)) = mult(mult(mult(op_d,X1),op_d),op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_16]),c_0_90]) ).
cnf(c_0_178,plain,
rd(unit,op_d) = op_c,
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_179,plain,
mult(op_c,ld(mult(op_d,op_c),X1)) = mult(ld(op_d,unit),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_176]),c_0_23]),c_0_98]) ).
cnf(c_0_180,plain,
mult(mult(mult(op_d,mult(op_c,X1)),op_d),op_c) = mult(mult(mult(op_d,op_c),X1),mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_177,c_0_19]) ).
cnf(c_0_181,plain,
mult(op_d,mult(ld(op_d,unit),X1)) = rd(rd(X1,op_d),op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_178]),c_0_66]) ).
cnf(c_0_182,plain,
mult(rd(rd(X1,op_d),op_c),op_d) = rd(X1,ld(op_d,unit)),
inference(rw,[status(thm)],[c_0_71,c_0_84]) ).
cnf(c_0_183,plain,
rd(mult(X1,op_c),X1) = rd(X1,mult(X1,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_11]),c_0_12]) ).
cnf(c_0_184,plain,
mult(mult(op_c,X1),mult(op_c,X2)) = mult(op_c,mult(rd(X1,op_d),X2)),
inference(spm,[status(thm)],[c_0_42,c_0_19]) ).
cnf(c_0_185,plain,
mult(ld(op_d,unit),mult(mult(op_d,op_c),X1)) = mult(op_c,X1),
inference(spm,[status(thm)],[c_0_179,c_0_19]) ).
cnf(c_0_186,plain,
mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_187,plain,
mult(rd(X1,ld(op_d,unit)),op_c) = mult(X1,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_179]),c_0_181]),c_0_182]),c_0_23]) ).
cnf(c_0_188,plain,
mult(rd(X1,mult(X1,op_d)),X1) = mult(X1,op_c),
inference(spm,[status(thm)],[c_0_16,c_0_183]) ).
cnf(c_0_189,plain,
mult(op_c,mult(ld(op_c,mult(X1,op_c)),X2)) = mult(X1,mult(op_c,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_23]),c_0_53]) ).
cnf(c_0_190,plain,
ld(ld(op_c,rd(op_c,X1)),op_d) = mult(X1,op_d),
inference(spm,[status(thm)],[c_0_81,c_0_40]) ).
cnf(c_0_191,plain,
rd(ld(ld(op_d,unit),X1),op_d) = mult(mult(op_d,X1),op_c),
inference(spm,[status(thm)],[c_0_118,c_0_97]) ).
cnf(c_0_192,plain,
ld(ld(op_d,unit),mult(op_c,X1)) = mult(mult(op_d,op_c),X1),
inference(spm,[status(thm)],[c_0_19,c_0_185]) ).
cnf(c_0_193,plain,
rd(mult(X1,ld(X2,mult(X3,X2))),X2) = mult(rd(X1,X2),X3),
inference(spm,[status(thm)],[c_0_17,c_0_186]) ).
cnf(c_0_194,plain,
mult(mult(X1,ld(op_d,unit)),mult(op_d,op_c)) = mult(X1,op_c),
inference(spm,[status(thm)],[c_0_187,c_0_17]) ).
cnf(c_0_195,plain,
mult(mult(X1,rd(X2,mult(X2,op_d))),X2) = mult(mult(X1,X2),op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_188]),c_0_19]) ).
cnf(c_0_196,plain,
mult(op_c,rd(op_d,mult(op_d,op_d))) = rd(op_c,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_188]),c_0_19]) ).
cnf(c_0_197,plain,
mult(ld(op_c,mult(X1,op_c)),X2) = ld(op_c,mult(X1,mult(op_c,X2))),
inference(spm,[status(thm)],[c_0_19,c_0_189]) ).
cnf(c_0_198,plain,
mult(rd(X1,op_c),mult(op_c,X2)) = rd(mult(X1,rd(X2,op_d)),op_c),
inference(spm,[status(thm)],[c_0_142,c_0_16]) ).
cnf(c_0_199,plain,
rd(op_d,mult(X1,op_d)) = ld(op_c,rd(op_c,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_190]) ).
cnf(c_0_200,plain,
mult(mult(op_d,op_c),rd(X1,op_d)) = rd(mult(mult(op_d,op_c),X1),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_41]) ).
cnf(c_0_201,plain,
rd(ld(X1,mult(X2,X1)),X1) = mult(rd(unit,X1),X2),
inference(spm,[status(thm)],[c_0_193,c_0_14]) ).
cnf(c_0_202,plain,
mult(rd(rd(rd(X1,op_d),op_c),op_c),X2) = mult(op_c,mult(mult(op_d,X1),ld(op_c,X2))),
inference(spm,[status(thm)],[c_0_35,c_0_66]) ).
cnf(c_0_203,plain,
rd(mult(mult(mult(op_d,X1),op_d),op_c),mult(op_d,op_c)) = mult(mult(op_d,op_c),ld(op_c,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_177]) ).
cnf(c_0_204,plain,
rd(mult(X1,op_c),mult(op_d,op_c)) = mult(X1,ld(op_d,unit)),
inference(spm,[status(thm)],[c_0_17,c_0_194]) ).
cnf(c_0_205,plain,
mult(ld(op_c,rd(X1,op_c)),ld(op_d,mult(X2,op_d))) = mult(mult(ld(op_c,X1),X2),op_d),
inference(spm,[status(thm)],[c_0_13,c_0_29]) ).
cnf(c_0_206,plain,
ld(op_c,rd(unit,rd(unit,op_c))) = mult(op_d,op_c),
inference(spm,[status(thm)],[c_0_72,c_0_154]) ).
cnf(c_0_207,plain,
mult(X1,rd(X2,mult(X2,op_d))) = rd(mult(mult(X1,X2),op_c),X2),
inference(spm,[status(thm)],[c_0_17,c_0_195]) ).
cnf(c_0_208,plain,
rd(op_d,mult(op_d,op_d)) = ld(op_c,rd(op_c,op_d)),
inference(spm,[status(thm)],[c_0_19,c_0_196]) ).
cnf(c_0_209,plain,
ld(op_c,rd(mult(X1,rd(X2,op_d)),op_c)) = mult(ld(op_c,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_16]),c_0_198]) ).
cnf(c_0_210,plain,
rd(mult(X1,op_d),ld(op_d,unit)) = mult(rd(X1,op_c),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_67]),c_0_29]),c_0_38]) ).
cnf(c_0_211,plain,
mult(mult(op_d,op_c),op_c) = ld(op_c,rd(op_c,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_103]),c_0_183]),c_0_199]) ).
cnf(c_0_212,plain,
mult(mult(op_d,op_c),mult(op_c,X1)) = mult(op_d,mult(op_c,ld(op_d,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_200,c_0_201]),c_0_178]),c_0_193]),c_0_183]),c_0_199]),c_0_173]) ).
cnf(c_0_213,plain,
mult(op_c,mult(mult(op_d,op_c),ld(op_c,X1))) = mult(ld(rd(unit,op_c),op_d),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_154]),c_0_162]) ).
cnf(c_0_214,plain,
mult(mult(op_d,op_c),ld(op_c,X1)) = ld(ld(op_d,unit),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204]),c_0_70]),c_0_97]) ).
cnf(c_0_215,plain,
mult(mult(op_d,mult(op_c,ld(op_d,X1))),op_d) = mult(mult(op_d,op_c),ld(op_d,mult(X1,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_154]),c_0_206]),c_0_173]) ).
cnf(c_0_216,plain,
mult(X1,ld(op_c,rd(op_c,op_d))) = rd(mult(mult(X1,op_d),op_c),op_d),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_217,plain,
mult(mult(op_d,mult(X1,ld(op_d,X2))),op_d) = mult(mult(op_d,X1),ld(op_d,mult(X2,op_d))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_72]),c_0_173]) ).
cnf(c_0_218,plain,
mult(rd(X1,op_c),ld(op_d,unit)) = rd(X1,mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_204,c_0_16]) ).
cnf(c_0_219,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_220,plain,
rd(mult(ld(op_c,X1),X2),op_d) = ld(op_c,mult(X1,rd(X2,op_d))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_209]),c_0_16]) ).
cnf(c_0_221,plain,
mult(mult(X1,op_d),mult(op_d,op_c)) = mult(X1,ld(op_c,mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_210]),c_0_186]) ).
cnf(c_0_222,plain,
mult(op_d,ld(rd(unit,op_c),mult(X1,op_c))) = mult(mult(mult(op_d,op_c),X1),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_211]),c_0_173]),c_0_149]) ).
cnf(c_0_223,plain,
mult(op_d,ld(rd(unit,op_c),X1)) = mult(mult(op_d,op_c),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_23]),c_0_149]) ).
cnf(c_0_224,plain,
mult(ld(rd(unit,op_c),op_d),X1) = mult(op_c,ld(ld(op_d,unit),X1)),
inference(rw,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_225,plain,
ld(ld(op_d,unit),ld(op_d,X1)) = ld(op_d,ld(op_c,X1)),
inference(spm,[status(thm)],[c_0_97,c_0_23]) ).
cnf(c_0_226,plain,
mult(mult(op_d,ld(rd(unit,op_c),X1)),op_d) = mult(mult(op_d,op_c),mult(X1,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_149]),c_0_29]),c_0_38]) ).
cnf(c_0_227,plain,
mult(op_d,ld(rd(unit,op_c),op_d)) = ld(op_d,ld(op_c,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_158]),c_0_65]) ).
cnf(c_0_228,plain,
mult(ld(op_d,ld(op_c,X1)),ld(op_d,mult(X2,op_d))) = mult(mult(mult(X1,op_c),X2),op_d),
inference(spm,[status(thm)],[c_0_13,c_0_65]) ).
cnf(c_0_229,plain,
mult(ld(op_d,mult(X1,op_d)),op_c) = ld(op_d,mult(X1,mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_216]),c_0_18]),c_0_16]),c_0_29]),c_0_72]) ).
cnf(c_0_230,plain,
mult(mult(rd(X1,ld(op_c,X2)),op_d),mult(X2,op_d)) = mult(X1,op_d),
inference(spm,[status(thm)],[c_0_43,c_0_16]) ).
cnf(c_0_231,plain,
mult(op_d,mult(ld(op_d,mult(X1,op_d)),X2)) = mult(X1,mult(op_d,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_19]),c_0_18]) ).
cnf(c_0_232,plain,
mult(mult(op_d,rd(X1,mult(op_d,op_c))),op_d) = mult(op_d,rd(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_14]),c_0_219]),c_0_12]) ).
cnf(c_0_233,plain,
rd(mult(op_d,X1),mult(op_d,X2)) = ld(op_c,rd(rd(X1,X2),op_d)),
inference(spm,[status(thm)],[c_0_106,c_0_119]) ).
cnf(c_0_234,plain,
mult(X1,ld(op_c,rd(X2,op_d))) = rd(mult(mult(X1,op_d),X2),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_82]),c_0_83]),c_0_35]),c_0_19]) ).
cnf(c_0_235,plain,
ld(op_c,mult(mult(op_c,X1),mult(op_d,op_c))) = mult(X1,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_16]),c_0_111]) ).
cnf(c_0_236,plain,
mult(mult(mult(op_d,op_c),X1),op_c) = mult(mult(op_d,op_c),mult(X1,op_c)),
inference(rw,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_237,plain,
mult(mult(op_d,op_c),rd(X1,ld(op_d,unit))) = mult(mult(op_d,mult(op_c,X1)),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_19]),c_0_84]) ).
cnf(c_0_238,plain,
mult(mult(mult(op_d,op_c),X1),op_d) = mult(mult(op_d,op_c),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_217,c_0_224]),c_0_225]),c_0_149]),c_0_226]),c_0_227]),c_0_228]) ).
cnf(c_0_239,plain,
mult(ld(op_d,unit),mult(X1,op_c)) = mult(ld(op_d,X1),op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_99]),c_0_23]) ).
cnf(c_0_240,plain,
ld(op_d,mult(ld(op_c,X1),mult(op_d,op_c))) = mult(mult(X1,op_d),op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_29]),c_0_38]) ).
cnf(c_0_241,plain,
mult(rd(X1,ld(op_c,X2)),op_d) = rd(mult(X1,op_d),mult(X2,op_d)),
inference(spm,[status(thm)],[c_0_17,c_0_230]) ).
cnf(c_0_242,plain,
mult(ld(op_d,mult(X1,op_d)),X2) = ld(op_d,mult(X1,mult(op_d,X2))),
inference(spm,[status(thm)],[c_0_19,c_0_231]) ).
cnf(c_0_243,plain,
mult(mult(op_d,op_d),rd(X1,op_c)) = mult(op_d,rd(mult(op_d,X1),op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),c_0_16]) ).
cnf(c_0_244,plain,
mult(mult(op_c,X1),mult(op_d,op_c)) = mult(op_c,mult(X1,mult(op_d,op_c))),
inference(spm,[status(thm)],[c_0_23,c_0_235]) ).
cnf(c_0_245,plain,
rd(rd(mult(X1,op_c),op_d),op_c) = rd(X1,rd(unit,op_c)),
inference(spm,[status(thm)],[c_0_17,c_0_156]) ).
cnf(c_0_246,plain,
mult(mult(mult(op_d,op_c),X1),mult(op_d,op_c)) = mult(mult(op_d,op_c),mult(X1,mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_180]),c_0_187]) ).
cnf(c_0_247,plain,
mult(ld(op_d,ld(op_c,op_d)),X1) = mult(mult(op_d,op_c),mult(op_d,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_234]),c_0_65]),c_0_16]),c_0_29]),c_0_72]) ).
cnf(c_0_248,plain,
mult(ld(op_d,mult(mult(op_d,op_c),X1)),op_c) = mult(op_c,mult(X1,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_236]),c_0_185]) ).
cnf(c_0_249,plain,
mult(ld(op_c,X1),mult(op_d,op_c)) = mult(op_d,mult(mult(X1,op_d),op_c)),
inference(spm,[status(thm)],[c_0_23,c_0_240]) ).
cnf(c_0_250,plain,
mult(op_c,rd(mult(X1,op_d),mult(X2,op_d))) = rd(mult(op_c,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_241]),c_0_119]),c_0_23]) ).
cnf(c_0_251,plain,
rd(ld(op_d,mult(X1,mult(op_d,X2))),X2) = ld(op_d,mult(X1,op_d)),
inference(spm,[status(thm)],[c_0_17,c_0_242]) ).
cnf(c_0_252,plain,
ld(mult(op_d,op_d),mult(op_d,rd(mult(op_d,X1),op_c))) = rd(X1,op_c),
inference(spm,[status(thm)],[c_0_19,c_0_243]) ).
cnf(c_0_253,plain,
rd(mult(X1,op_d),rd(unit,op_c)) = mult(X1,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_23]),c_0_101]),c_0_66]),c_0_245]) ).
cnf(c_0_254,plain,
mult(mult(op_d,op_c),mult(op_d,mult(X1,op_c))) = mult(op_d,mult(op_c,mult(mult(op_d,X1),op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_234]),c_0_65]),c_0_247]),c_0_152]),c_0_248]),c_0_249]),c_0_16]) ).
cnf(c_0_255,plain,
rd(ld(op_d,X1),ld(op_d,unit)) = ld(op_d,mult(X1,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_36]),c_0_18]) ).
cnf(c_0_256,plain,
rd(mult(X1,op_d),mult(X2,op_d)) = ld(op_c,rd(mult(op_c,X1),X2)),
inference(spm,[status(thm)],[c_0_19,c_0_250]) ).
cnf(c_0_257,plain,
ld(op_d,mult(rd(X1,mult(op_d,X2)),op_d)) = rd(ld(op_d,X1),X2),
inference(spm,[status(thm)],[c_0_251,c_0_16]) ).
cnf(c_0_258,plain,
ld(mult(op_d,op_d),mult(op_d,rd(X1,op_c))) = rd(ld(op_d,X1),op_c),
inference(spm,[status(thm)],[c_0_252,c_0_23]) ).
cnf(c_0_259,plain,
mult(mult(X1,mult(op_d,op_c)),rd(unit,op_c)) = mult(X1,op_d),
inference(spm,[status(thm)],[c_0_16,c_0_253]) ).
cnf(c_0_260,plain,
mult(mult(op_d,op_c),mult(op_d,mult(X1,mult(op_d,op_c)))) = mult(op_d,mult(op_c,mult(mult(mult(op_d,X1),op_d),op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_187]),c_0_145]) ).
cnf(c_0_261,plain,
mult(ld(op_d,X1),mult(op_d,op_c)) = ld(op_d,mult(X1,mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_255]),c_0_242]) ).
cnf(c_0_262,plain,
mult(rd(X1,ld(op_c,X2)),op_d) = ld(op_c,rd(mult(op_c,X1),X2)),
inference(rw,[status(thm)],[c_0_241,c_0_256]) ).
cnf(c_0_263,plain,
mult(op_c,rd(mult(op_d,X1),mult(op_d,X2))) = rd(rd(X1,X2),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_119]),c_0_19]) ).
cnf(c_0_264,plain,
mult(rd(X1,mult(op_d,X2)),op_d) = mult(op_d,rd(ld(op_d,X1),X2)),
inference(spm,[status(thm)],[c_0_23,c_0_257]) ).
cnf(c_0_265,plain,
rd(ld(op_d,mult(X1,op_c)),op_c) = ld(mult(op_d,op_d),mult(op_d,X1)),
inference(spm,[status(thm)],[c_0_258,c_0_17]) ).
cnf(c_0_266,plain,
mult(mult(X1,ld(op_d,unit)),op_d) = mult(mult(X1,op_c),rd(unit,op_c)),
inference(spm,[status(thm)],[c_0_259,c_0_194]) ).
cnf(c_0_267,plain,
mult(mult(mult(op_d,mult(op_c,X1)),op_d),op_c) = mult(mult(op_d,op_c),mult(X1,mult(op_d,op_c))),
inference(rw,[status(thm)],[c_0_180,c_0_246]) ).
cnf(c_0_268,plain,
mult(mult(op_d,op_c),mult(X1,mult(op_d,op_c))) = mult(op_d,mult(op_c,mult(mult(X1,op_d),op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_23]),c_0_23]) ).
cnf(c_0_269,plain,
ld(op_c,rd(mult(op_c,X1),mult(op_c,X2))) = mult(rd(X1,X2),op_d),
inference(spm,[status(thm)],[c_0_262,c_0_19]) ).
cnf(c_0_270,plain,
mult(rd(mult(op_d,X1),mult(op_d,X2)),op_d) = mult(op_d,rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_263]),c_0_72]) ).
cnf(c_0_271,plain,
rd(mult(mult(X1,X2),ld(X2,X3)),X2) = mult(X1,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_17,c_0_90]) ).
cnf(c_0_272,plain,
ld(ld(op_c,op_d),mult(op_d,mult(op_d,X1))) = mult(mult(X1,op_c),rd(unit,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_204]),c_0_265]),c_0_88]),c_0_266]) ).
cnf(c_0_273,plain,
mult(mult(mult(op_d,mult(op_c,X1)),op_d),op_c) = mult(op_d,mult(op_c,mult(mult(X1,op_d),op_c))),
inference(rw,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_274,plain,
mult(mult(op_d,mult(X1,op_c)),rd(unit,op_c)) = mult(op_d,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_173]),c_0_19]),c_0_29]),c_0_72]) ).
cnf(c_0_275,plain,
mult(rd(ld(op_c,X1),X2),op_d) = ld(op_c,rd(X1,mult(op_c,X2))),
inference(spm,[status(thm)],[c_0_269,c_0_23]) ).
cnf(c_0_276,plain,
mult(rd(mult(op_d,X1),X2),op_d) = mult(op_d,rd(X1,ld(op_d,X2))),
inference(spm,[status(thm)],[c_0_270,c_0_23]) ).
cnf(c_0_277,plain,
mult(rd(X1,mult(X1,op_d)),X2) = mult(X1,mult(op_c,ld(X1,X2))),
inference(spm,[status(thm)],[c_0_35,c_0_183]) ).
cnf(c_0_278,plain,
mult(X1,rd(mult(X2,X3),X2)) = rd(mult(mult(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_271,c_0_19]) ).
cnf(c_0_279,plain,
mult(ld(X1,X2),mult(ld(ld(X1,X2),X2),op_d)) = mult(X1,mult(ld(X1,X2),op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_32]),c_0_46]) ).
cnf(c_0_280,plain,
ld(rd(mult(X1,X2),mult(X1,X3)),mult(X1,rd(X2,X3))) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_119]) ).
cnf(c_0_281,plain,
mult(ld(op_c,op_d),mult(mult(X1,op_c),rd(unit,op_c))) = mult(op_d,mult(op_d,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_272]) ).
cnf(c_0_282,plain,
mult(ld(op_d,mult(ld(op_c,op_d),X1)),op_c) = mult(op_d,mult(op_c,mult(mult(op_d,X1),op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_234]),c_0_11]),c_0_14]),c_0_90]),c_0_159]),c_0_29]),c_0_72]) ).
cnf(c_0_283,plain,
mult(mult(op_d,X1),rd(unit,op_c)) = mult(op_d,rd(X1,op_c)),
inference(spm,[status(thm)],[c_0_274,c_0_16]) ).
cnf(c_0_284,plain,
mult(op_c,rd(ld(op_c,X1),X2)) = rd(mult(X1,op_c),rd(X2,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_275]),c_0_118]),c_0_48]) ).
cnf(c_0_285,plain,
mult(op_c,rd(mult(op_d,X1),X2)) = rd(rd(X1,ld(op_d,X2)),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_276]),c_0_19]) ).
cnf(c_0_286,plain,
rd(ld(op_c,mult(mult(op_c,X1),X2)),ld(op_c,X2)) = rd(X1,op_d),
inference(spm,[status(thm)],[c_0_17,c_0_111]) ).
cnf(c_0_287,plain,
mult(X1,mult(op_c,ld(X1,ld(rd(X1,mult(X1,op_d)),X2)))) = X2,
inference(spm,[status(thm)],[c_0_23,c_0_277]) ).
cnf(c_0_288,plain,
ld(X1,rd(mult(mult(X1,X2),X3),X2)) = rd(mult(X2,X3),X2),
inference(spm,[status(thm)],[c_0_19,c_0_278]) ).
cnf(c_0_289,plain,
mult(rd(mult(X1,X2),mult(X1,X3)),mult(X1,op_d)) = mult(X1,mult(rd(X2,X3),op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_19]) ).
cnf(c_0_290,plain,
mult(ld(op_c,op_d),mult(mult(op_d,op_c),mult(op_d,X1))) = mult(op_d,mult(ld(op_c,op_d),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_283]),c_0_132]),c_0_223]),c_0_23]) ).
cnf(c_0_291,plain,
rd(rd(X1,ld(op_d,X2)),op_d) = rd(rd(X1,op_d),rd(X2,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_72]),c_0_285]),c_0_16]) ).
cnf(c_0_292,plain,
rd(ld(op_c,mult(X1,X2)),ld(op_c,X2)) = ld(op_c,mult(X1,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_11]),c_0_134]),c_0_23]),c_0_53]) ).
cnf(c_0_293,plain,
rd(mult(X1,ld(mult(X2,X1),X3)),X1) = ld(X2,rd(X3,X1)),
inference(spm,[status(thm)],[c_0_288,c_0_23]) ).
cnf(c_0_294,plain,
mult(mult(op_c,rd(mult(X1,X2),mult(X1,X3))),X1) = mult(mult(op_c,X1),rd(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_289]),c_0_120]) ).
cnf(c_0_295,plain,
mult(ld(op_c,op_d),mult(mult(op_d,op_c),X1)) = mult(op_d,mult(ld(op_c,op_d),ld(op_d,X1))),
inference(spm,[status(thm)],[c_0_290,c_0_23]) ).
cnf(c_0_296,plain,
mult(op_c,rd(mult(op_d,X1),X2)) = rd(rd(X1,op_d),rd(X2,op_d)),
inference(rw,[status(thm)],[c_0_285,c_0_291]) ).
cnf(c_0_297,plain,
rd(ld(op_c,X1),ld(op_c,X2)) = ld(op_c,mult(rd(X1,X2),op_c)),
inference(spm,[status(thm)],[c_0_292,c_0_16]) ).
cnf(c_0_298,plain,
rd(rd(ld(op_d,X1),op_d),rd(X2,op_d)) = mult(op_c,rd(X1,X2)),
inference(spm,[status(thm)],[c_0_135,c_0_16]) ).
cnf(c_0_299,plain,
mult(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_19,c_0_141]) ).
cnf(c_0_300,plain,
mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_293]) ).
cnf(c_0_301,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_302,plain,
mult(op_d,rd(mult(mult(op_d,op_c),X1),X2)) = ld(op_c,mult(op_d,mult(op_c,rd(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]),c_0_220]),c_0_220]),c_0_297]),c_0_233]),c_0_298]),c_0_173]),c_0_299]),c_0_92]),c_0_106]),c_0_300]),c_0_11]),c_0_301]),c_0_23]) ).
cnf(c_0_303,plain,
mult(mult(X1,mult(X2,ld(X1,rd(X3,X4)))),X4) = mult(mult(X1,mult(X2,ld(X1,X4))),ld(X4,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_35]),c_0_35]) ).
cnf(c_0_304,plain,
mult(mult(op_d,op_c),rd(X1,X2)) = rd(mult(mult(op_d,op_c),X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_302]),c_0_97]),c_0_192]) ).
cnf(c_0_305,plain,
mult(mult(X1,mult(X2,mult(X3,ld(X1,unit)))),X1) = mult(mult(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_82]),c_0_219]),c_0_12]),c_0_19]) ).
cnf(c_0_306,plain,
rd(mult(mult(op_d,op_c),mult(X1,X2)),X2) = mult(mult(op_d,op_c),X1),
inference(spm,[status(thm)],[c_0_304,c_0_17]) ).
cnf(c_0_307,plain,
mult(X1,mult(X2,mult(X3,ld(X1,unit)))) = rd(mult(mult(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_17,c_0_305]) ).
cnf(c_0_308,negated_conjecture,
mult(mult(a,mult(op_d,op_c)),b) != mult(a,mult(mult(op_d,op_c),b)),
goals ).
cnf(c_0_309,plain,
mult(mult(X1,mult(op_d,op_c)),X2) = mult(X1,mult(mult(op_d,op_c),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_306]),c_0_307]),c_0_16]) ).
cnf(c_0_310,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_309])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP662-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 20:26:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.55 start to proof: theBenchmark
% 73.64/73.67 % Version : CSE_E---1.5
% 73.64/73.67 % Problem : theBenchmark.p
% 73.64/73.67 % Proof found
% 73.64/73.67 % SZS status Theorem for theBenchmark.p
% 73.64/73.67 % SZS output start Proof
% See solution above
% 73.64/73.69 % Total time : 73.121000 s
% 73.64/73.69 % SZS output end Proof
% 73.64/73.69 % Total time : 73.128000 s
%------------------------------------------------------------------------------