%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP690-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:40:47 PM UTC 2026
% Result : Unsatisfiable 101.68s 15.45s
% Output : CNFRefutation 101.68s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(c08,axiom,
mult(i(X1),mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c11,axiom,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
cnf(c05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c09,axiom,
i(mult(X1,X2)) = mult(i(X1),i(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c10,axiom,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
cnf(c01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c07,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(goals,negated_conjecture,
mult(op_c,op_d) != mult(op_d,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_0_12,axiom,
mult(i(X1),mult(X1,X2)) = X2,
c08 ).
cnf(c_0_13,axiom,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = unit,
c11 ).
cnf(c_0_14,axiom,
mult(X1,unit) = X1,
c05 ).
cnf(c_0_15,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = i(op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_16,axiom,
i(mult(X1,X2)) = mult(i(X1),i(X2)),
c09 ).
cnf(c_0_17,plain,
mult(i(X1),X1) = unit,
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_18,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = i(mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_16]) ).
cnf(c_0_19,plain,
i(i(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_17]),c_0_14]) ).
cnf(c_0_20,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(mult(op_d,mult(op_d,op_d))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_18]),c_0_16]) ).
cnf(c_0_21,plain,
mult(X1,i(X1)) = unit,
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_22,plain,
i(mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_20]),c_0_16]) ).
cnf(c_0_23,axiom,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = unit,
c10 ).
cnf(c_0_24,axiom,
mult(X1,ld(X1,X2)) = X2,
c01 ).
cnf(c_0_25,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
c07 ).
cnf(c_0_26,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = unit,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_28,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = i(op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_23]),c_0_14]) ).
cnf(c_0_29,plain,
mult(i(X1),X2) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_24]) ).
cnf(c_0_30,axiom,
ld(X1,mult(X1,X2)) = X2,
c02 ).
cnf(c_0_31,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c))))) = i(mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_28]),c_0_16]) ).
cnf(c_0_33,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_27]),c_0_27]) ).
cnf(c_0_34,plain,
ld(X1,i(X2)) = i(mult(X1,X2)),
inference(rw,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_35,plain,
ld(i(X1),unit) = X1,
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_36,plain,
mult(X1,mult(X2,mult(X1,ld(mult(X1,mult(X2,X1)),X3)))) = X3,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_37,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_14]),c_0_22]) ).
cnf(c_0_38,plain,
ld(i(X1),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_30,c_0_12]) ).
cnf(c_0_39,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_c)))) = i(mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_32]),c_0_16]) ).
cnf(c_0_40,axiom,
rd(mult(X1,X2),X2) = X1,
c04 ).
cnf(c_0_41,plain,
ld(X1,ld(X1,X2)) = ld(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_34]),c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_42,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_30,c_0_14]) ).
cnf(c_0_43,plain,
ld(X1,unit) = i(X1),
inference(spm,[status(thm)],[c_0_35,c_0_19]) ).
cnf(c_0_44,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),X1) = mult(op_d,mult(op_d,mult(op_d,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_31,c_0_36]),c_0_37]),c_0_20]),c_0_38]),c_0_25]) ).
cnf(c_0_45,plain,
i(mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_39]),c_0_16]) ).
cnf(c_0_46,axiom,
mult(rd(X1,X2),X2) = X1,
c03 ).
cnf(c_0_47,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_40,c_0_24]) ).
cnf(c_0_48,plain,
ld(mult(X1,X1),X1) = i(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_49,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),X1) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_22]),c_0_44]) ).
cnf(c_0_50,plain,
ld(X1,mult(op_c,mult(op_c,mult(op_c,op_c)))) = i(mult(X1,mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(spm,[status(thm)],[c_0_34,c_0_45]) ).
cnf(c_0_51,plain,
mult(mult(X1,mult(X2,mult(X3,mult(X2,X1)))),X4) = mult(X1,mult(X2,mult(X3,mult(X2,mult(X1,X4))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_25]),c_0_25]) ).
cnf(c_0_52,plain,
i(ld(X1,X2)) = mult(X1,i(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_34]),c_0_29]) ).
cnf(c_0_53,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_30,c_0_46]) ).
cnf(c_0_54,plain,
rd(X1,i(X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_56,plain,
mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_25,c_0_46]) ).
cnf(c_0_57,plain,
mult(rd(X1,X2),i(X1)) = i(X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
mult(X1,i(mult(X1,X2))) = i(X2),
inference(spm,[status(thm)],[c_0_24,c_0_34]) ).
cnf(c_0_59,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))))) = op_d,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_40]) ).
cnf(c_0_60,plain,
mult(mult(X1,X2),i(X1)) = mult(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_21]),c_0_14]) ).
cnf(c_0_61,plain,
rd(i(X1),i(X2)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_40,c_0_57]) ).
cnf(c_0_62,plain,
mult(op_d,rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_55]) ).
cnf(c_0_63,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
inference(spm,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_64,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_65,plain,
rd(X1,i(X2)) = rd(X2,i(X1)),
inference(spm,[status(thm)],[c_0_61,c_0_19]) ).
cnf(c_0_66,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_62]),c_0_30]) ).
cnf(c_0_67,plain,
ld(mult(op_d,mult(op_d,mult(op_d,op_d))),X1) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_63]),c_0_51]) ).
cnf(c_0_68,plain,
rd(X1,mult(X2,X1)) = i(X2),
inference(spm,[status(thm)],[c_0_47,c_0_38]) ).
cnf(c_0_69,plain,
rd(X1,i(mult(X1,X2))) = mult(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_21]),c_0_14]),c_0_65]) ).
cnf(c_0_70,plain,
i(mult(X1,i(X2))) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_71,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
inference(spm,[status(thm)],[c_0_46,c_0_66]) ).
cnf(c_0_72,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_50]),c_0_44]) ).
cnf(c_0_73,plain,
rd(X1,mult(X2,mult(X2,X1))) = i(mult(X2,X2)),
inference(spm,[status(thm)],[c_0_68,c_0_33]) ).
cnf(c_0_74,plain,
mult(rd(i(X1),X2),X1) = i(X2),
inference(spm,[status(thm)],[c_0_57,c_0_19]) ).
cnf(c_0_75,plain,
rd(X1,ld(X1,X2)) = mult(X1,ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_29]) ).
cnf(c_0_76,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))) = i(mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_71]),c_0_72]),c_0_73]) ).
cnf(c_0_77,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),op_d) = mult(op_d,mult(op_d,mult(op_d,op_d))),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_78,plain,
ld(mult(X1,mult(X2,X1)),X1) = i(mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_34]),c_0_16]),c_0_29]),c_0_38]) ).
cnf(c_0_79,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_76]),c_0_19]),c_0_72]) ).
cnf(c_0_80,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1)))))) = ld(mult(op_d,mult(op_d,op_d)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_77]),c_0_20]),c_0_29]),c_0_44]) ).
cnf(c_0_81,plain,
rd(X1,mult(X2,mult(X3,mult(X2,X1)))) = i(mult(X2,mult(X3,X2))),
inference(spm,[status(thm)],[c_0_68,c_0_25]) ).
cnf(c_0_82,plain,
mult(X1,ld(mult(X1,X2),X1)) = rd(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_58]),c_0_19]),c_0_29]) ).
cnf(c_0_83,plain,
i(rd(X1,X2)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_68,c_0_46]) ).
cnf(c_0_84,plain,
rd(i(X1),X2) = rd(i(X2),X1),
inference(spm,[status(thm)],[c_0_61,c_0_19]) ).
cnf(c_0_85,plain,
ld(mult(X1,mult(X2,X1)),mult(X1,mult(X2,mult(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_86,plain,
mult(mult(op_c,mult(op_c,mult(op_c,op_c))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = unit,
inference(spm,[status(thm)],[c_0_17,c_0_45]) ).
cnf(c_0_87,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_33]),c_0_80]),c_0_50]),c_0_25]),c_0_58]),c_0_38]),c_0_33]),c_0_55]) ).
cnf(c_0_88,plain,
mult(op_d,mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(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(spm,[status(thm)],[c_0_81,c_0_79]),c_0_80]),c_0_50]),c_0_25]),c_0_69]),c_0_71]),c_0_55]) ).
cnf(c_0_89,plain,
rd(rd(X1,X2),ld(mult(X1,X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_82]) ).
cnf(c_0_90,plain,
rd(i(X1),mult(X1,X2)) = i(mult(X1,mult(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_69]),c_0_84]) ).
cnf(c_0_91,plain,
ld(mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,op_c))),op_c)),op_c) = mult(op_c,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_14]) ).
cnf(c_0_92,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))) = i(mult(op_d,mult(op_d,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_87]),c_0_72]),c_0_81]),c_0_33]) ).
cnf(c_0_93,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_88]),c_0_30]) ).
cnf(c_0_94,plain,
i(mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_76]),c_0_68]),c_0_38]),c_0_33]),c_0_90]) ).
cnf(c_0_95,plain,
mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,op_c))),op_c)) = rd(op_c,mult(op_c,mult(op_c,op_c))),
inference(spm,[status(thm)],[c_0_47,c_0_91]) ).
cnf(c_0_96,plain,
i(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_92]),c_0_93]),c_0_58]),c_0_34]) ).
cnf(c_0_97,plain,
mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),op_d)) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
inference(spm,[status(thm)],[c_0_19,c_0_94]) ).
cnf(c_0_98,plain,
mult(op_c,rd(mult(op_c,mult(op_c,op_c)),op_c)) = i(mult(mult(op_c,mult(op_c,mult(op_c,op_c))),op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_95]),c_0_83]) ).
cnf(c_0_99,plain,
rd(mult(X1,mult(X1,X2)),X2) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_100,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),mult(op_d,op_d)) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
inference(spm,[status(thm)],[c_0_19,c_0_96]) ).
cnf(c_0_101,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_97]),c_0_34]),c_0_72]) ).
cnf(c_0_102,plain,
i(mult(mult(op_c,mult(op_c,mult(op_c,op_c))),op_c)) = mult(op_c,mult(op_c,op_c)),
inference(rw,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,plain,
mult(op_d,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(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_81,c_0_100]),c_0_58]),c_0_69]),c_0_101]),c_0_80]),c_0_50]),c_0_25]),c_0_19]) ).
cnf(c_0_104,plain,
mult(mult(op_c,mult(op_c,mult(op_c,op_c))),op_c) = i(mult(op_c,mult(op_c,op_c))),
inference(spm,[status(thm)],[c_0_19,c_0_102]) ).
cnf(c_0_105,plain,
ld(mult(X1,mult(X2,X1)),mult(X1,X2)) = i(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_21]),c_0_14]) ).
cnf(c_0_106,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),i(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(spm,[status(thm)],[c_0_85,c_0_100]),c_0_101]),c_0_80]),c_0_50]),c_0_25]),c_0_58]),c_0_34]),c_0_29]),c_0_52]) ).
cnf(c_0_107,plain,
ld(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = op_d,
inference(spm,[status(thm)],[c_0_30,c_0_93]) ).
cnf(c_0_108,plain,
ld(ld(X1,X2),X3) = mult(mult(X1,i(X2)),X3),
inference(spm,[status(thm)],[c_0_29,c_0_52]) ).
cnf(c_0_109,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_d) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_103]),c_0_30]) ).
cnf(c_0_110,plain,
rd(op_c,mult(op_c,mult(op_c,op_c))) = i(mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_104]),c_0_58]) ).
cnf(c_0_111,plain,
mult(mult(op_d,rd(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_d)),op_d) = mult(op_d,mult(op_d,mult(op_c,mult(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(spm,[status(thm)],[c_0_105,c_0_106]),c_0_29]),c_0_29]),c_0_107]),c_0_108]),c_0_60]),c_0_19]) ).
cnf(c_0_112,plain,
rd(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),op_d) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(spm,[status(thm)],[c_0_40,c_0_109]) ).
cnf(c_0_113,plain,
mult(ld(X1,X2),mult(X1,mult(ld(X1,X2),X3))) = mult(mult(ld(X1,X2),X2),X3),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_114,plain,
ld(mult(op_c,op_c),mult(op_c,mult(op_c,op_c))) = op_c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_110]),c_0_29]) ).
cnf(c_0_115,plain,
ld(X1,ld(X2,X3)) = i(mult(X1,mult(X2,i(X3)))),
inference(spm,[status(thm)],[c_0_34,c_0_70]) ).
cnf(c_0_116,plain,
mult(op_d,rd(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_d)) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_111]),c_0_112]) ).
cnf(c_0_117,plain,
mult(mult(op_c,mult(op_c,mult(op_c,op_c))),X1) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_33]) ).
cnf(c_0_118,plain,
mult(mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,X1)))))),X4) = mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,X4))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_119,plain,
i(mult(X1,mult(X1,i(X2)))) = ld(mult(X1,X1),X2),
inference(rw,[status(thm)],[c_0_41,c_0_115]) ).
cnf(c_0_120,plain,
mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_d))))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_116]),c_0_69]),c_0_117]),c_0_46]) ).
cnf(c_0_121,plain,
mult(mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,mult(X4,mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,X1)))))))))))))),X5) = mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,mult(X4,mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,X5))))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_118]),c_0_118]),c_0_118]) ).
cnf(c_0_122,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1))))) = ld(mult(op_c,mult(op_c,op_c)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_39]),c_0_29]) ).
cnf(c_0_123,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_c,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_33,c_0_117]),c_0_39]),c_0_58]),c_0_58]),c_0_21]),c_0_27]),c_0_117]),c_0_117]) ).
cnf(c_0_124,plain,
rd(ld(X1,X2),X1) = ld(X1,mult(X2,i(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_69]),c_0_29]),c_0_29]) ).
cnf(c_0_125,plain,
rd(mult(X1,X2),ld(X1,X2)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_99,c_0_24]) ).
cnf(c_0_126,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_38,c_0_83]) ).
cnf(c_0_127,plain,
mult(rd(X1,X2),rd(X1,X2)) = rd(mult(rd(X1,X2),X1),X2),
inference(spm,[status(thm)],[c_0_99,c_0_46]) ).
cnf(c_0_128,plain,
rd(ld(X1,X2),X2) = i(X1),
inference(spm,[status(thm)],[c_0_40,c_0_29]) ).
cnf(c_0_129,plain,
ld(mult(X1,X1),mult(X1,X2)) = ld(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_58]),c_0_70]) ).
cnf(c_0_130,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,op_d)))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_120]),c_0_30]) ).
cnf(c_0_131,plain,
mult(op_c,mult(op_c,ld(mult(op_c,mult(op_c,op_c)),X1))) = ld(op_c,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_121,c_0_122]),c_0_42]),c_0_14]),c_0_39]),c_0_58]),c_0_58]),c_0_29]),c_0_123]),c_0_122]) ).
cnf(c_0_132,plain,
rd(mult(X1,mult(X2,X3)),ld(X1,X3)) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_64,c_0_24]) ).
cnf(c_0_133,plain,
ld(X1,mult(X2,i(X1))) = i(mult(X1,ld(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_75]),c_0_124]) ).
cnf(c_0_134,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),i(mult(op_d,mult(op_d,op_d)))) = op_d,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_37]),c_0_20]) ).
cnf(c_0_135,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_125,c_0_46]),c_0_126]),c_0_127]) ).
cnf(c_0_136,plain,
rd(ld(X1,X2),mult(X1,X2)) = i(mult(X1,X1)),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_137,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_c,mult(op_c,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_30]) ).
cnf(c_0_138,plain,
mult(op_c,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = ld(mult(op_c,mult(op_c,op_c)),op_d),
inference(spm,[status(thm)],[c_0_122,c_0_130]) ).
cnf(c_0_139,plain,
mult(op_c,ld(mult(op_c,mult(op_c,op_c)),X1)) = ld(mult(op_c,op_c),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_131]),c_0_115]),c_0_119]) ).
cnf(c_0_140,plain,
rd(mult(X1,X2),ld(X1,X3)) = mult(X1,mult(rd(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_132,c_0_46]) ).
cnf(c_0_141,plain,
rd(mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,X4))))))),X4) = mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,X1)))))),
inference(spm,[status(thm)],[c_0_40,c_0_118]) ).
cnf(c_0_142,plain,
mult(X1,ld(mult(X1,X1),X2)) = ld(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_119]),c_0_70]) ).
cnf(c_0_143,plain,
rd(ld(X1,X2),X1) = i(mult(X1,ld(X2,X1))),
inference(rw,[status(thm)],[c_0_124,c_0_133]) ).
cnf(c_0_144,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,op_d)) = i(mult(op_d,mult(op_d,op_d))),
inference(spm,[status(thm)],[c_0_31,c_0_134]) ).
cnf(c_0_145,plain,
i(mult(X1,rd(X2,X1))) = ld(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_70,c_0_60]) ).
cnf(c_0_146,plain,
mult(rd(X1,mult(rd(X2,X1),X2)),X2) = mult(rd(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_74]),c_0_19]),c_0_70]),c_0_126]),c_0_19]),c_0_19]),c_0_127]),c_0_135]),c_0_126]),c_0_135]) ).
cnf(c_0_147,plain,
rd(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,op_d))) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_130]),c_0_30]) ).
cnf(c_0_148,plain,
rd(mult(op_c,mult(op_c,op_d)),ld(mult(op_c,op_c),op_d)) = mult(op_c,mult(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(spm,[status(thm)],[c_0_136,c_0_137]),c_0_33]),c_0_138]),c_0_139]),c_0_33]),c_0_45]) ).
cnf(c_0_149,plain,
rd(ld(X1,X2),mult(X1,i(X2))) = mult(ld(X1,X2),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_54,c_0_52]) ).
cnf(c_0_150,plain,
rd(ld(X1,X2),mult(X1,X3)) = i(mult(X1,mult(rd(X3,X2),X1))),
inference(spm,[status(thm)],[c_0_83,c_0_140]) ).
cnf(c_0_151,plain,
rd(i(X1),X1) = i(mult(X1,X1)),
inference(spm,[status(thm)],[c_0_128,c_0_48]) ).
cnf(c_0_152,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,mult(op_c,op_c)))))) = i(mult(op_c,ld(op_d,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_138]),c_0_139]),c_0_142]),c_0_143]) ).
cnf(c_0_153,plain,
mult(mult(X1,ld(X2,X1)),X3) = mult(X1,ld(X2,mult(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_29]),c_0_29]) ).
cnf(c_0_154,plain,
rd(i(mult(op_d,op_d)),op_d) = i(mult(op_d,mult(op_d,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_144]),c_0_58]),c_0_37]),c_0_20]) ).
cnf(c_0_155,plain,
ld(mult(mult(X1,X2),X2),mult(X1,X2)) = ld(mult(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_68]),c_0_60]),c_0_145]) ).
cnf(c_0_156,plain,
mult(rd(mult(op_c,mult(op_c,op_d)),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_c,mult(op_c,op_d))) = 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(spm,[status(thm)],[c_0_146,c_0_147]),c_0_33]),c_0_138]),c_0_139]),c_0_148]),c_0_117]),c_0_138]),c_0_139]),c_0_142]),c_0_24]) ).
cnf(c_0_157,plain,
ld(X1,rd(X2,X3)) = i(mult(X1,rd(X3,X2))),
inference(spm,[status(thm)],[c_0_34,c_0_83]) ).
cnf(c_0_158,plain,
mult(ld(X1,X2),ld(X1,X2)) = i(mult(X1,ld(mult(X2,X2),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_29]) ).
cnf(c_0_159,plain,
mult(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_64,c_0_46]) ).
cnf(c_0_160,plain,
rd(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,ld(op_d,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_152]),c_0_38]),c_0_153]) ).
cnf(c_0_161,plain,
ld(mult(op_d,mult(op_d,op_d)),op_d) = i(mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_154]),c_0_29]) ).
cnf(c_0_162,plain,
rd(ld(X1,X2),ld(mult(X1,X1),X2)) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_142]) ).
cnf(c_0_163,plain,
ld(mult(op_d,mult(op_c,mult(op_c,op_d))),op_d) = i(mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]),c_0_147]) ).
cnf(c_0_164,plain,
mult(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(X2,mult(X2,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_158,c_0_38]),c_0_34]),c_0_33]),c_0_29]),c_0_34]),c_0_19]) ).
cnf(c_0_165,plain,
rd(i(X1),ld(X2,X3)) = rd(mult(X2,i(X3)),X1),
inference(spm,[status(thm)],[c_0_61,c_0_70]) ).
cnf(c_0_166,plain,
mult(op_c,mult(mult(op_c,mult(op_c,ld(op_d,mult(op_c,op_c)))),op_c)) = i(mult(op_c,mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_81]) ).
cnf(c_0_167,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))))) = i(mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_87]),c_0_72]) ).
cnf(c_0_168,plain,
rd(i(mult(op_d,op_d)),mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_161]),c_0_30]),c_0_25]),c_0_63]) ).
cnf(c_0_169,plain,
rd(mult(op_d,mult(op_c,mult(mult(op_c,op_d),mult(mult(op_c,op_d),op_c)))),mult(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_c,mult(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(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]),c_0_165]),c_0_60]),c_0_99]),c_0_164]) ).
cnf(c_0_170,plain,
mult(mult(op_c,mult(op_c,ld(op_d,mult(op_c,op_c)))),op_c) = i(mult(op_c,mult(op_c,mult(op_d,op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_166]),c_0_34]) ).
cnf(c_0_171,plain,
rd(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_d) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_116]),c_0_30]) ).
cnf(c_0_172,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_d,mult(op_d,mult(op_d,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_125,c_0_167]),c_0_165]),c_0_55]),c_0_92]),c_0_84]),c_0_168]) ).
cnf(c_0_173,plain,
mult(mult(op_d,mult(op_c,mult(op_c,op_d))),mult(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_c,mult(mult(op_c,op_d),mult(mult(op_c,op_d),op_c)))),
inference(spm,[status(thm)],[c_0_46,c_0_169]) ).
cnf(c_0_174,plain,
mult(mult(op_c,mult(op_c,ld(op_d,mult(op_c,op_c)))),mult(op_c,mult(op_c,mult(op_d,op_c)))) = i(op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_170]),c_0_19]) ).
cnf(c_0_175,plain,
rd(rd(X1,X2),i(X3)) = rd(X3,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_61,c_0_83]) ).
cnf(c_0_176,plain,
mult(rd(X1,X2),mult(X2,X3)) = ld(X2,mult(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_30,c_0_56]) ).
cnf(c_0_177,plain,
rd(mult(X1,ld(X2,mult(X1,X3))),X3) = mult(X1,ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_29]),c_0_29]) ).
cnf(c_0_178,plain,
rd(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_171]),c_0_45]) ).
cnf(c_0_179,plain,
mult(ld(X1,X2),mult(X1,i(X2))) = unit,
inference(spm,[status(thm)],[c_0_21,c_0_52]) ).
cnf(c_0_180,plain,
ld(mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,X1)))))),mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,X4)))))))) = X4,
inference(spm,[status(thm)],[c_0_30,c_0_118]) ).
cnf(c_0_181,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_172]),c_0_22]) ).
cnf(c_0_182,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_92]),c_0_19]),c_0_72]) ).
cnf(c_0_183,plain,
mult(X1,ld(mult(X1,X2),mult(X1,X3))) = mult(rd(X1,X2),X3),
inference(spm,[status(thm)],[c_0_153,c_0_82]) ).
cnf(c_0_184,plain,
ld(mult(op_d,mult(op_c,mult(op_c,op_d))),mult(op_d,mult(op_c,mult(mult(op_c,op_d),mult(mult(op_c,op_d),op_c))))) = mult(op_d,mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_30,c_0_173]) ).
cnf(c_0_185,plain,
mult(op_c,mult(op_c,ld(op_d,mult(op_c,op_c)))) = i(mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_174]),c_0_90]),c_0_25]) ).
cnf(c_0_186,plain,
mult(op_c,i(mult(op_c,mult(op_c,op_c)))) = i(mult(op_c,op_c)),
inference(rw,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_187,plain,
mult(op_c,i(mult(op_c,op_c))) = i(op_c),
inference(rw,[status(thm)],[c_0_28,c_0_32]) ).
cnf(c_0_188,plain,
ld(X1,mult(mult(X1,X2),rd(X2,X1))) = rd(X2,rd(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_46]),c_0_175]),c_0_176]) ).
cnf(c_0_189,plain,
rd(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_107]),c_0_82]),c_0_178]) ).
cnf(c_0_190,plain,
mult(op_d,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_164]),c_0_109]) ).
cnf(c_0_191,plain,
mult(X1,mult(ld(X1,X2),X1)) = rd(X1,i(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_179]),c_0_14]) ).
cnf(c_0_192,plain,
ld(op_c,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_c,mult(op_c,mult(op_c,op_d))),
inference(spm,[status(thm)],[c_0_30,c_0_130]) ).
cnf(c_0_193,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,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(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]),c_0_80]),c_0_50]),c_0_25]),c_0_58]),c_0_58]),c_0_58]),c_0_58]),c_0_45]),c_0_38]) ).
cnf(c_0_194,plain,
ld(op_c,mult(mult(op_c,op_d),mult(mult(op_c,op_d),op_c))) = mult(op_d,mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_73]),c_0_29]),c_0_129]) ).
cnf(c_0_195,plain,
i(mult(op_c,ld(op_d,mult(op_c,op_c)))) = mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_185]),c_0_19]) ).
cnf(c_0_196,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_c,mult(op_c,X1))) = ld(op_c,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_39]),c_0_186]),c_0_187]),c_0_29]),c_0_122]) ).
cnf(c_0_197,plain,
ld(mult(op_c,mult(op_c,mult(op_c,op_c))),X1) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_45]),c_0_117]) ).
cnf(c_0_198,plain,
ld(X1,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = i(mult(X1,mult(op_d,mult(op_d,mult(op_d,op_d))))),
inference(spm,[status(thm)],[c_0_34,c_0_22]) ).
cnf(c_0_199,plain,
mult(X1,rd(X2,rd(X1,X2))) = mult(mult(X1,X2),rd(X2,X1)),
inference(spm,[status(thm)],[c_0_24,c_0_188]) ).
cnf(c_0_200,plain,
rd(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,op_d)) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_189]),c_0_45]) ).
cnf(c_0_201,plain,
rd(mult(op_d,op_d),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_178]),c_0_117]),c_0_130]) ).
cnf(c_0_202,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_d,mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_190]),c_0_30]) ).
cnf(c_0_203,plain,
mult(ld(X1,X2),rd(X1,i(X2))) = mult(mult(ld(X1,X2),X2),X1),
inference(spm,[status(thm)],[c_0_113,c_0_191]) ).
cnf(c_0_204,plain,
mult(op_c,mult(mult(op_c,mult(op_c,op_d)),mult(mult(op_c,mult(op_c,op_d)),op_c))) = i(mult(op_c,ld(mult(op_d,op_d),op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_192]),c_0_193]),c_0_164]) ).
cnf(c_0_205,plain,
mult(mult(op_c,op_d),mult(mult(op_c,op_d),op_c)) = mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c)))),
inference(spm,[status(thm)],[c_0_24,c_0_194]) ).
cnf(c_0_206,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c)))))) = mult(op_d,i(mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_195]),c_0_52]) ).
cnf(c_0_207,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,i(op_d))))) = i(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_138]),c_0_52]),c_0_25]) ).
cnf(c_0_208,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))))) = mult(op_d,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_189]),c_0_117]) ).
cnf(c_0_209,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_c,X1)) = ld(mult(op_c,op_c),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_24]),c_0_115]),c_0_119]) ).
cnf(c_0_210,plain,
i(mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_117]) ).
cnf(c_0_211,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_d,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(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_164]),c_0_109]),c_0_202]),c_0_87]),c_0_189]) ).
cnf(c_0_212,plain,
i(mult(mult(X1,X2),rd(X2,X1))) = ld(mult(mult(X1,X2),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_19]),c_0_34]),c_0_29]),c_0_157]),c_0_34]),c_0_29]),c_0_34]),c_0_29]) ).
cnf(c_0_213,plain,
rd(mult(op_d,mult(op_d,op_d)),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_193]),c_0_109]) ).
cnf(c_0_214,plain,
mult(op_c,mult(op_c,ld(mult(op_d,op_d),mult(op_c,op_c)))) = i(mult(op_c,mult(op_c,mult(op_d,mult(op_d,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(spm,[status(thm)],[c_0_82,c_0_204]),c_0_38]),c_0_153]),c_0_73]),c_0_164]),c_0_205]) ).
cnf(c_0_215,plain,
rd(X1,mult(X2,ld(X3,mult(X2,X1)))) = i(mult(X2,ld(X3,X2))),
inference(spm,[status(thm)],[c_0_68,c_0_153]) ).
cnf(c_0_216,plain,
mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c))))),mult(mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c))))),op_c))) = mult(op_d,mult(op_d,mult(op_c,mult(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_206]),c_0_164]),c_0_29]),c_0_29]),c_0_115]),c_0_33]),c_0_33]),c_0_207]),c_0_19]) ).
cnf(c_0_217,plain,
ld(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_d)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_208]),c_0_209]),c_0_129]) ).
cnf(c_0_218,plain,
ld(X1,mult(X2,i(X3))) = i(mult(X1,ld(X2,X3))),
inference(spm,[status(thm)],[c_0_34,c_0_52]) ).
cnf(c_0_219,plain,
i(mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))))))) = mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(spm,[status(thm)],[c_0_19,c_0_210]) ).
cnf(c_0_220,plain,
ld(mult(X1,X2),mult(X1,ld(mult(X1,X2),X3))) = ld(mult(mult(X1,X2),X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_58]),c_0_29]),c_0_34]),c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_221,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_211]),c_0_22]),c_0_45]) ).
cnf(c_0_222,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,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(spm,[status(thm)],[c_0_212,c_0_189]),c_0_87]),c_0_211]),c_0_22]),c_0_87]),c_0_100]),c_0_38]) ).
cnf(c_0_223,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_d,op_d)),
inference(spm,[status(thm)],[c_0_46,c_0_213]) ).
cnf(c_0_224,plain,
mult(op_c,mult(mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c))))),op_c)) = i(mult(op_c,ld(mult(op_d,op_d),op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_214]),c_0_38]),c_0_215]) ).
cnf(c_0_225,plain,
mult(mult(X1,mult(X2,mult(X3,mult(X3,mult(X2,X1))))),X4) = mult(X1,mult(X2,mult(X3,mult(X3,mult(X2,mult(X1,X4)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_33]),c_0_33]) ).
cnf(c_0_226,plain,
mult(mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c))))),mult(mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c))))),op_c)) = mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_d)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_216]),c_0_217]) ).
cnf(c_0_227,plain,
mult(rd(X1,X2),ld(X1,X3)) = mult(X1,ld(mult(X1,X2),X3)),
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_176,c_0_61]),c_0_29]),c_0_29]),c_0_34]),c_0_29]),c_0_115]),c_0_29]),c_0_218]),c_0_19]) ).
cnf(c_0_228,plain,
ld(X1,mult(mult(X1,X2),mult(X1,rd(X2,X1)))) = mult(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_46]),c_0_176]) ).
cnf(c_0_229,plain,
mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = unit,
inference(spm,[status(thm)],[c_0_21,c_0_219]) ).
cnf(c_0_230,plain,
rd(mult(op_d,mult(op_d,op_d)),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_189]),c_0_117]),c_0_130]) ).
cnf(c_0_231,plain,
ld(mult(X1,mult(X1,X1)),mult(X1,X2)) = ld(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_129]),c_0_24]),c_0_33]) ).
cnf(c_0_232,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_d,mult(op_d,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_85,c_0_221]),c_0_101]),c_0_80]),c_0_50]),c_0_25]),c_0_38]) ).
cnf(c_0_233,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,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(spm,[status(thm)],[c_0_212,c_0_222]),c_0_68]),c_0_51]),c_0_21]),c_0_14]),c_0_22]),c_0_51]),c_0_80]),c_0_50]),c_0_25]),c_0_58]),c_0_38]) ).
cnf(c_0_234,plain,
ld(mult(X1,i(X2)),X3) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_38,c_0_52]) ).
cnf(c_0_235,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,mult(op_d,op_d))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(spm,[status(thm)],[c_0_30,c_0_223]) ).
cnf(c_0_236,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))))) = i(mult(op_c,ld(mult(op_d,op_d),op_c))),
inference(rw,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_237,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,i(op_c)))))) = rd(mult(op_c,mult(op_c,mult(op_c,mult(op_d,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_226]),c_0_164]),c_0_51]),c_0_51]),c_0_152]),c_0_58]),c_0_52]) ).
cnf(c_0_238,plain,
ld(mult(X1,mult(X2,X1)),mult(X1,X3)) = i(mult(X1,mult(X2,i(X3)))),
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_227,c_0_90]),c_0_38]),c_0_29]),c_0_29]),c_0_30]),c_0_29]),c_0_115]) ).
cnf(c_0_239,plain,
mult(mult(X1,X2),mult(X1,rd(X2,X1))) = mult(X1,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_228]) ).
cnf(c_0_240,plain,
mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_d)),
inference(spm,[status(thm)],[c_0_85,c_0_208]) ).
cnf(c_0_241,plain,
mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),op_c)) = rd(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_229]),c_0_14]) ).
cnf(c_0_242,plain,
rd(mult(X1,mult(X2,mult(X3,mult(X2,mult(X1,X4))))),X4) = mult(X1,mult(X2,mult(X3,mult(X2,X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_25]),c_0_25]) ).
cnf(c_0_243,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_d,op_d)),
inference(spm,[status(thm)],[c_0_46,c_0_230]) ).
cnf(c_0_244,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(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(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_231,c_0_232]),c_0_164]),c_0_93]),c_0_233]),c_0_20]),c_0_234]),c_0_235]),c_0_117]),c_0_164]),c_0_93]),c_0_233]),c_0_20]),c_0_38]),c_0_25]) ).
cnf(c_0_245,plain,
rd(mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_d)))),op_c) = ld(op_c,mult(op_d,mult(op_d,mult(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_122,c_0_236]),c_0_58]),c_0_52]),c_0_33]),c_0_237]),c_0_238]),c_0_58]),c_0_70]) ).
cnf(c_0_246,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_208]),c_0_39]),c_0_58]),c_0_58]),c_0_38]) ).
cnf(c_0_247,plain,
mult(op_c,mult(mult(op_c,mult(op_c,mult(op_d,op_d))),mult(mult(op_c,mult(op_c,mult(op_d,op_d))),op_c))) = i(mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,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_158,c_0_217]),c_0_164]),c_0_164]),c_0_109]),c_0_202]),c_0_67]) ).
cnf(c_0_248,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,i(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(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_239,c_0_208]),c_0_240]),c_0_139]),c_0_142]),c_0_143]),c_0_58]),c_0_52]),c_0_33]),c_0_33]),c_0_240]),c_0_139]),c_0_142]),c_0_240]),c_0_139]),c_0_142]),c_0_158]),c_0_33]),c_0_67]),c_0_58]) ).
cnf(c_0_249,plain,
ld(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c))))) = mult(mult(op_c,op_d),op_c),
inference(spm,[status(thm)],[c_0_30,c_0_205]) ).
cnf(c_0_250,plain,
ld(mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))))),op_c) = mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_241]),c_0_157]),c_0_145]) ).
cnf(c_0_251,plain,
mult(op_c,mult(op_d,mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,op_c)))) = rd(mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,op_c))),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_252,plain,
i(mult(X1,rd(X2,mult(X1,X3)))) = mult(rd(X3,mult(X1,X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_159]),c_0_157]) ).
cnf(c_0_253,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
inference(spm,[status(thm)],[c_0_40,c_0_211]) ).
cnf(c_0_254,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_244]),c_0_72]) ).
cnf(c_0_255,plain,
ld(mult(X1,mult(X2,mult(X3,mult(X2,X1)))),mult(X1,mult(X2,mult(X3,mult(X2,mult(X1,X4)))))) = X4,
inference(spm,[status(thm)],[c_0_30,c_0_51]) ).
cnf(c_0_256,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,i(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_239,c_0_245]),c_0_246]),c_0_24]),c_0_164]),c_0_247]),c_0_58]),c_0_248]) ).
cnf(c_0_257,plain,
ld(op_d,mult(mult(op_d,op_c),mult(op_d,mult(op_c,op_c)))) = mult(op_c,mult(mult(op_c,op_d),op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_249]),c_0_176]) ).
cnf(c_0_258,plain,
mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))))),mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))))),op_c)) = op_c,
inference(spm,[status(thm)],[c_0_24,c_0_250]) ).
cnf(c_0_259,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),op_c) = mult(op_d,mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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_30,c_0_251]),c_0_157]),c_0_252]),c_0_253]) ).
cnf(c_0_260,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),op_c) = mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_244]),c_0_254]) ).
cnf(c_0_261,plain,
mult(mult(X1,mult(X2,mult(X2,X1))),X3) = mult(X1,mult(X2,mult(X2,mult(X1,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_33]),c_0_33]) ).
cnf(c_0_262,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),i(mult(op_d,mult(op_d,mult(op_d,op_c))))) = mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_87]),c_0_80]),c_0_50]),c_0_25]),c_0_80]),c_0_34]),c_0_25]),c_0_34]),c_0_29]),c_0_52]) ).
cnf(c_0_263,plain,
mult(op_c,mult(op_c,mult(op_c,ld(op_d,mult(op_c,mult(op_c,op_c)))))) = i(mult(op_c,mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_138]),c_0_75]),c_0_25]) ).
cnf(c_0_264,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c))),
inference(spm,[status(thm)],[c_0_24,c_0_257]) ).
cnf(c_0_265,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),op_c)) = op_c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_244]),c_0_254]) ).
cnf(c_0_266,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))),op_c) = mult(op_d,mult(op_d,mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_259]),c_0_164]),c_0_71]),c_0_76]),c_0_58]),c_0_38]),c_0_260]) ).
cnf(c_0_267,plain,
mult(mult(X1,X2),mult(mult(X1,X2),X3)) = mult(X1,mult(X2,mult(X2,mult(X1,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_164]),c_0_261]) ).
cnf(c_0_268,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),i(mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_262]),c_0_19]) ).
cnf(c_0_269,plain,
mult(X1,ld(mult(X1,mult(X2,X1)),X3)) = i(mult(X2,mult(X1,i(X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_68]),c_0_29]),c_0_115]) ).
cnf(c_0_270,plain,
i(mult(X1,mult(X2,mult(X1,i(X3))))) = ld(mult(X1,mult(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_70,c_0_25]) ).
cnf(c_0_271,plain,
mult(op_c,ld(op_d,mult(op_c,mult(op_c,op_c)))) = i(mult(op_c,mult(op_c,mult(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_129,c_0_263]),c_0_34]),c_0_33]),c_0_30]) ).
cnf(c_0_272,plain,
ld(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(spm,[status(thm)],[c_0_30,c_0_172]) ).
cnf(c_0_273,plain,
rd(mult(mult(op_d,op_c),mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c)))),mult(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_c,mult(op_c,op_d))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_264]),c_0_164]) ).
cnf(c_0_274,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),mult(op_d,mult(op_d,mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,op_c))))) = op_c,
inference(rw,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_275,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_d,mult(op_d,mult(op_d,op_c)))) = i(mult(op_d,mult(op_d,mult(op_d,mult(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(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_267,c_0_268]),c_0_267]),c_0_267]),c_0_261]),c_0_261]),c_0_122]),c_0_269]),c_0_270]),c_0_58]),c_0_58]),c_0_52]),c_0_25]),c_0_80]),c_0_34]),c_0_25]) ).
cnf(c_0_276,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_c))))) = mult(op_d,i(mult(op_c,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_271]),c_0_19]),c_0_52]) ).
cnf(c_0_277,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_272]),c_0_178]),c_0_117]) ).
cnf(c_0_278,plain,
mult(ld(X1,X2),mult(mult(X1,i(X2)),X3)) = X3,
inference(spm,[status(thm)],[c_0_24,c_0_108]) ).
cnf(c_0_279,plain,
mult(X1,rd(i(X2),X1)) = i(mult(ld(X1,X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_191]),c_0_83]) ).
cnf(c_0_280,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c)))) = mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_273]),c_0_173]),c_0_205]) ).
cnf(c_0_281,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,op_c)) = mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,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_255,c_0_274]),c_0_100]),c_0_58]),c_0_58]),c_0_38]) ).
cnf(c_0_282,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),i(mult(op_d,mult(op_c,mult(op_c,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(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_255,c_0_275]),c_0_79]),c_0_80]),c_0_50]),c_0_25]),c_0_58]),c_0_58]),c_0_58]),c_0_34]),c_0_29]),c_0_52]) ).
cnf(c_0_283,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,mult(op_c,op_c)))))))) = 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_180,c_0_276]),c_0_39]),c_0_58]),c_0_58]),c_0_38]) ).
cnf(c_0_284,plain,
mult(ld(X1,X2),mult(ld(X1,X2),X1)) = ld(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_65]),c_0_29]),c_0_29]),c_0_157]),c_0_145]),c_0_234]),c_0_29]) ).
cnf(c_0_285,plain,
ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = mult(op_c,mult(op_d,mult(op_d,op_d))),
inference(spm,[status(thm)],[c_0_85,c_0_277]) ).
cnf(c_0_286,plain,
mult(ld(X1,X2),mult(X1,i(mult(X2,X2)))) = i(mult(ld(X1,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_239]),c_0_29]),c_0_34]),c_0_279]) ).
cnf(c_0_287,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_277]),c_0_30]) ).
cnf(c_0_288,plain,
ld(mult(op_d,op_c),mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c))))))) = mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c))),
inference(spm,[status(thm)],[c_0_30,c_0_280]) ).
cnf(c_0_289,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_281]),c_0_267]),c_0_261]),c_0_261]),c_0_122]),c_0_269]),c_0_119]),c_0_142]),c_0_24]) ).
cnf(c_0_290,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,op_c))) = mult(op_d,mult(op_d,mult(op_d,i(mult(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_267,c_0_282]),c_0_281]),c_0_58]),c_0_267]),c_0_261]),c_0_283]),c_0_261]),c_0_276]) ).
cnf(c_0_291,plain,
mult(mult(op_c,mult(op_d,mult(op_d,op_d))),mult(mult(op_c,mult(op_d,mult(op_d,op_d))),mult(op_c,mult(op_c,op_c)))) = i(mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,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(spm,[status(thm)],[c_0_284,c_0_285]),c_0_164]),c_0_93]),c_0_233]),c_0_20]),c_0_34]),c_0_25]) ).
cnf(c_0_292,plain,
mult(op_c,mult(mult(op_c,mult(op_d,mult(op_d,op_d))),mult(mult(op_c,mult(op_d,mult(op_d,op_d))),op_c))) = i(mult(mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))),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_286,c_0_287]),c_0_164]),c_0_93]),c_0_233]),c_0_20]),c_0_19]),c_0_33]),c_0_164]) ).
cnf(c_0_293,plain,
ld(op_c,mult(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c)))))) = mult(op_d,mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_288]),c_0_176]) ).
cnf(c_0_294,plain,
rd(mult(op_d,mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c)))),mult(op_c,op_c)) = mult(op_d,mult(mult(op_d,op_c),op_d)),
inference(spm,[status(thm)],[c_0_64,c_0_264]) ).
cnf(c_0_295,plain,
mult(rd(X1,X2),rd(X2,X1)) = unit,
inference(spm,[status(thm)],[c_0_21,c_0_83]) ).
cnf(c_0_296,plain,
rd(rd(X1,X2),rd(X2,X1)) = mult(rd(X1,X2),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_54,c_0_83]) ).
cnf(c_0_297,plain,
ld(mult(X1,X2),mult(X1,mult(X2,X2))) = mult(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_239]) ).
cnf(c_0_298,plain,
i(mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,i(X4))))))))) = ld(mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,X1)))))),X4),
inference(spm,[status(thm)],[c_0_70,c_0_118]) ).
cnf(c_0_299,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_d,i(mult(op_c,mult(op_c,op_c))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))),
inference(rw,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_300,plain,
mult(op_d,ld(mult(op_d,mult(op_d,op_d)),X1)) = ld(mult(op_d,op_d),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_80]),c_0_78]),c_0_29]),c_0_80]) ).
cnf(c_0_301,plain,
rd(mult(X1,mult(X1,i(X2))),ld(mult(X1,X1),X2)) = mult(X1,mult(X1,ld(mult(X2,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(spm,[status(thm)],[c_0_54,c_0_119]),c_0_164]),c_0_267]),c_0_29]),c_0_29]),c_0_115]),c_0_119]) ).
cnf(c_0_302,plain,
mult(op_c,i(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))) = i(mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,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)],[c_0_291,c_0_267]),c_0_25]),c_0_25]),c_0_80]),c_0_50]),c_0_25]) ).
cnf(c_0_303,plain,
mult(op_c,mult(op_c,ld(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)))) = i(mult(mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_267]),c_0_25]),c_0_25]),c_0_80]) ).
cnf(c_0_304,plain,
ld(mult(X1,X2),mult(X1,mult(X2,mult(X2,X1)))) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_30,c_0_164]) ).
cnf(c_0_305,plain,
rd(mult(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c))))),op_c) = mult(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_205]),c_0_164]) ).
cnf(c_0_306,plain,
mult(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c))))) = mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c))))),
inference(spm,[status(thm)],[c_0_24,c_0_293]) ).
cnf(c_0_307,plain,
rd(mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c))))),op_c) = mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_d))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_294]),c_0_25]),c_0_164]) ).
cnf(c_0_308,plain,
mult(rd(X1,X2),rd(X2,mult(rd(X1,X2),X1))) = rd(X2,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_60,c_0_295]),c_0_83]),c_0_27]),c_0_296]),c_0_127]),c_0_135]) ).
cnf(c_0_309,plain,
rd(mult(mult(op_c,op_d),op_c),mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c))))) = i(mult(op_c,op_d)),
inference(spm,[status(thm)],[c_0_68,c_0_205]) ).
cnf(c_0_310,plain,
rd(mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c)))),op_c) = mult(op_c,mult(op_d,mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_205]),c_0_164]) ).
cnf(c_0_311,plain,
rd(mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c)))),mult(mult(op_c,op_d),op_c)) = mult(op_c,op_d),
inference(spm,[status(thm)],[c_0_40,c_0_205]) ).
cnf(c_0_312,plain,
rd(mult(X1,mult(X1,rd(X2,X1))),mult(X2,X2)) = rd(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_297]),c_0_82]) ).
cnf(c_0_313,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,op_c))) = mult(op_d,i(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_80]),c_0_300]),c_0_142]),c_0_52]),c_0_182]),c_0_80]),c_0_50]),c_0_25]),c_0_58]),c_0_58]),c_0_38]) ).
cnf(c_0_314,plain,
mult(mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))),mult(op_c,op_c)) = mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,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(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_301,c_0_287]),c_0_302]),c_0_58]),c_0_151]),c_0_164]),c_0_267]),c_0_25]),c_0_25]),c_0_80]),c_0_303]),c_0_19]),c_0_164]),c_0_93]),c_0_233]),c_0_20]),c_0_38]),c_0_25]) ).
cnf(c_0_315,plain,
ld(mult(op_c,mult(op_c,op_d)),mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,op_d)),
inference(spm,[status(thm)],[c_0_304,c_0_205]) ).
cnf(c_0_316,plain,
mult(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,op_c)))) = mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_d))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_306]),c_0_307]) ).
cnf(c_0_317,plain,
ld(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,op_c)))) = mult(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(spm,[status(thm)],[c_0_308,c_0_309]),c_0_29]),c_0_30]),c_0_310]),c_0_29]),c_0_311]) ).
cnf(c_0_318,plain,
rd(mult(X1,mult(X2,mult(X2,rd(X1,X2)))),X1) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_312]),c_0_46]) ).
cnf(c_0_319,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,op_d))) = mult(op_d,ld(mult(op_c,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(spm,[status(thm)],[c_0_164,c_0_313]),c_0_164]),c_0_29]),c_0_29]),c_0_115]),c_0_119]),c_0_25]),c_0_138]),c_0_139]),c_0_142]),c_0_25]),c_0_24]) ).
cnf(c_0_320,plain,
ld(mult(X1,ld(X2,X1)),X3) = ld(X1,mult(X2,ld(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_29]),c_0_29]),c_0_29]),c_0_218]),c_0_29]) ).
cnf(c_0_321,plain,
ld(mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))))) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_30,c_0_314]) ).
cnf(c_0_322,plain,
mult(rd(op_c,mult(op_c,op_d)),mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c))))) = mult(op_c,mult(op_c,mult(op_c,op_d))),
inference(spm,[status(thm)],[c_0_183,c_0_315]) ).
cnf(c_0_323,plain,
ld(mult(op_c,op_d),mult(op_c,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_d)))))) = mult(op_c,mult(op_d,mult(op_d,op_c))),
inference(spm,[status(thm)],[c_0_30,c_0_316]) ).
cnf(c_0_324,plain,
rd(mult(op_c,mult(op_c,op_d)),mult(op_d,mult(op_d,op_c))) = rd(op_c,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_317]),c_0_82]) ).
cnf(c_0_325,plain,
mult(X1,mult(X2,mult(X2,rd(X1,X2)))) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_46,c_0_318]) ).
cnf(c_0_326,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),i(mult(op_d,mult(op_c,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_82,c_0_319]),c_0_320]),c_0_30]),c_0_33]),c_0_39]),c_0_58]),c_0_34]),c_0_147]) ).
cnf(c_0_327,plain,
ld(mult(X1,mult(X1,i(X2))),X3) = mult(ld(mult(X1,X1),X2),X3),
inference(spm,[status(thm)],[c_0_234,c_0_33]) ).
cnf(c_0_328,plain,
rd(mult(X1,mult(X2,mult(X3,mult(X4,mult(X3,mult(X2,mult(X1,X5))))))),X5) = mult(X1,mult(X2,mult(X3,mult(X4,mult(X3,mult(X2,X1)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_51]),c_0_51]) ).
cnf(c_0_329,plain,
mult(rd(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_183,c_0_321]) ).
cnf(c_0_330,plain,
rd(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),mult(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_322]),c_0_130]),c_0_46]) ).
cnf(c_0_331,plain,
ld(op_d,mult(mult(op_d,op_c),mult(op_d,mult(op_c,mult(op_c,op_d))))) = mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_323]),c_0_176]) ).
cnf(c_0_332,plain,
rd(mult(op_d,mult(op_c,mult(op_c,op_d))),mult(op_d,op_c)) = mult(op_d,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_324]),c_0_46]) ).
cnf(c_0_333,plain,
mult(X1,ld(X2,mult(ld(X2,X1),X2))) = mult(mult(X1,i(X2)),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_325,c_0_65]),c_0_29]),c_0_157]),c_0_279]),c_0_19]),c_0_29]) ).
cnf(c_0_334,plain,
mult(ld(mult(op_c,op_c),mult(op_d,mult(op_c,op_c))),mult(op_c,op_c)) = mult(op_c,mult(op_c,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_326]),c_0_33]),c_0_327]),c_0_137]) ).
cnf(c_0_335,plain,
rd(mult(mult(X1,X2),X1),mult(X2,mult(X2,rd(X1,X2)))) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_325]) ).
cnf(c_0_336,plain,
mult(op_d,mult(op_d,mult(op_c,mult(rd(op_c,mult(op_c,mult(op_d,mult(op_d,op_d)))),mult(op_c,mult(op_d,op_d)))))) = mult(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_330]) ).
cnf(c_0_337,plain,
rd(X1,mult(X2,mult(X3,mult(X4,mult(X3,mult(X2,X1)))))) = i(mult(X2,mult(X3,mult(X4,mult(X3,X2))))),
inference(spm,[status(thm)],[c_0_68,c_0_51]) ).
cnf(c_0_338,plain,
rd(mult(X1,rd(X1,X2)),ld(mult(X1,X2),X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_99,c_0_82]) ).
cnf(c_0_339,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_c,mult(op_c,op_d)))) = mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c))))),
inference(spm,[status(thm)],[c_0_24,c_0_331]) ).
cnf(c_0_340,plain,
rd(mult(op_d,op_c),mult(op_d,mult(op_c,mult(op_c,op_d)))) = i(mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_83,c_0_332]) ).
cnf(c_0_341,plain,
rd(unit,X1) = i(X1),
inference(spm,[status(thm)],[c_0_40,c_0_17]) ).
cnf(c_0_342,plain,
mult(mult(mult(op_d,mult(op_c,op_c)),i(mult(op_c,op_c))),mult(op_d,mult(op_c,op_c))) = mult(mult(op_d,mult(op_c,op_c)),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_129]),c_0_30]) ).
cnf(c_0_343,plain,
rd(mult(mult(op_d,mult(op_c,op_c)),op_d),mult(op_d,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337]),c_0_267]),c_0_58]),c_0_267]),c_0_58]),c_0_267]),c_0_58]),c_0_267]),c_0_58]),c_0_33]),c_0_21]),c_0_14]),c_0_33]),c_0_46]) ).
cnf(c_0_344,plain,
ld(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,op_d)) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(spm,[status(thm)],[c_0_30,c_0_193]) ).
cnf(c_0_345,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c))))),i(mult(op_d,op_c))) = mult(op_d,mult(op_c,mult(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(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340]),c_0_21]),c_0_341]),c_0_52]),c_0_164]) ).
cnf(c_0_346,plain,
ld(mult(op_d,op_c),mult(op_d,mult(op_c,mult(op_c,op_d)))) = mult(op_d,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_340]),c_0_29]) ).
cnf(c_0_347,plain,
rd(mult(op_d,mult(op_c,op_c)),mult(mult(op_d,mult(op_c,op_c)),op_d)) = ld(mult(op_d,mult(op_c,op_c)),mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_342]),c_0_70]) ).
cnf(c_0_348,plain,
mult(mult(op_d,mult(op_c,op_c)),op_d) = mult(op_d,mult(op_d,mult(op_c,op_c))),
inference(spm,[status(thm)],[c_0_46,c_0_343]) ).
cnf(c_0_349,plain,
rd(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_344]),c_0_112]),c_0_82]) ).
cnf(c_0_350,plain,
ld(mult(op_d,mult(op_c,mult(op_c,op_d))),mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(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_155,c_0_345]),c_0_261]),c_0_58]),c_0_21]),c_0_14]),c_0_346]) ).
cnf(c_0_351,plain,
ld(mult(op_d,mult(op_c,op_c)),mult(op_c,op_c)) = i(op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_348]),c_0_68]) ).
cnf(c_0_352,plain,
ld(X1,mult(mult(X1,X2),ld(X1,X3))) = mult(rd(X2,X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_60]),c_0_29]),c_0_30]),c_0_29]),c_0_29]) ).
cnf(c_0_353,plain,
mult(mult(op_d,mult(op_c,mult(op_c,op_d))),i(mult(op_d,mult(op_c,op_c)))) = op_d,
inference(spm,[status(thm)],[c_0_24,c_0_163]) ).
cnf(c_0_354,plain,
rd(mult(X1,mult(X1,mult(X2,mult(X1,mult(X1,X3))))),X3) = mult(X1,mult(X1,mult(X2,mult(X1,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_33]),c_0_33]),c_0_33]) ).
cnf(c_0_355,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = op_d,
inference(spm,[status(thm)],[c_0_46,c_0_349]) ).
cnf(c_0_356,plain,
rd(mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c))))),mult(op_d,op_c)) = mult(op_d,mult(op_c,mult(op_c,op_d))),
inference(spm,[status(thm)],[c_0_47,c_0_350]) ).
cnf(c_0_357,plain,
mult(op_d,rd(mult(op_c,op_c),op_d)) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_351]),c_0_60]) ).
cnf(c_0_358,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))) = mult(op_c,mult(op_c,mult(op_d,op_d))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_208]),c_0_209]) ).
cnf(c_0_359,plain,
mult(mult(X1,X2),ld(X1,X3)) = mult(X1,mult(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_24,c_0_352]) ).
cnf(c_0_360,plain,
rd(mult(op_c,mult(op_c,mult(op_c,op_c))),op_d) = i(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))),
inference(spm,[status(thm)],[c_0_83,c_0_349]) ).
cnf(c_0_361,plain,
mult(rd(X1,X2),ld(mult(X1,X2),X3)) = mult(X1,ld(mult(mult(X1,X2),X2),X3)),
inference(spm,[status(thm)],[c_0_183,c_0_220]) ).
cnf(c_0_362,plain,
ld(mult(op_d,mult(op_c,mult(op_c,op_d))),mult(op_d,mult(op_c,op_c))) = i(op_d),
inference(spm,[status(thm)],[c_0_70,c_0_353]) ).
cnf(c_0_363,plain,
mult(op_c,mult(op_c,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,op_c)))) = rd(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_364,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_c,op_c)) = mult(op_d,i(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_326]),c_0_58]),c_0_117]),c_0_58]),c_0_21]),c_0_14]),c_0_117]),c_0_39]),c_0_58]) ).
cnf(c_0_365,plain,
mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,op_c))))) = ld(mult(op_c,op_c),mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_206]),c_0_231]) ).
cnf(c_0_366,plain,
rd(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c)))))),op_c) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_356]),c_0_261]) ).
cnf(c_0_367,plain,
mult(rd(X1,X2),rd(X3,rd(X1,X2))) = mult(mult(rd(X1,X2),X3),rd(X2,X1)),
inference(spm,[status(thm)],[c_0_60,c_0_83]) ).
cnf(c_0_368,plain,
rd(mult(op_c,mult(op_c,op_d)),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = i(mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_73,c_0_130]) ).
cnf(c_0_369,plain,
rd(mult(op_c,op_c),i(mult(op_d,mult(op_c,op_c)))) = mult(op_d,mult(op_c,mult(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_89,c_0_319]),c_0_147]),c_0_320]),c_0_30]),c_0_33]),c_0_39]),c_0_58]),c_0_34]) ).
cnf(c_0_370,plain,
rd(mult(op_c,op_c),op_d) = ld(op_d,mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_30,c_0_357]) ).
cnf(c_0_371,plain,
mult(mult(mult(op_d,mult(op_c,op_c)),i(mult(op_c,op_c))),mult(mult(op_d,mult(op_c,op_c)),op_d)) = mult(mult(op_d,mult(op_c,op_c)),mult(op_d,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(spm,[status(thm)],[c_0_267,c_0_342]),c_0_164]),c_0_33]),c_0_33]),c_0_130]),c_0_29]),c_0_358]),c_0_29]),c_0_129]),c_0_30]) ).
cnf(c_0_372,plain,
mult(op_d,ld(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c)) = i(mult(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(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_180,c_0_299]),c_0_182]),c_0_80]),c_0_50]),c_0_25]),c_0_58]),c_0_58]),c_0_80]),c_0_300]),c_0_142]),c_0_115]),c_0_29]),c_0_218]),c_0_359]),c_0_360]),c_0_29]),c_0_19]) ).
cnf(c_0_373,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),i(op_c)) = mult(op_c,rd(mult(op_c,mult(op_c,mult(op_c,op_d))),op_c)),
inference(spm,[status(thm)],[c_0_60,c_0_130]) ).
cnf(c_0_374,plain,
ld(mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c)))),mult(op_c,op_c)) = i(mult(op_c,mult(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(spm,[status(thm)],[c_0_361,c_0_362]),c_0_73]),c_0_29]),c_0_34]),c_0_33]),c_0_261]),c_0_183]),c_0_337]),c_0_29]) ).
cnf(c_0_375,plain,
rd(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)) = ld(mult(op_c,op_c),mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_364]),c_0_365]) ).
cnf(c_0_376,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))),op_c) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c)))))),
inference(spm,[status(thm)],[c_0_46,c_0_366]) ).
cnf(c_0_377,plain,
mult(mult(op_c,mult(op_c,X1)),i(mult(op_c,op_c))) = mult(op_c,mult(op_c,rd(X1,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_147]),c_0_33]),c_0_33]),c_0_368]) ).
cnf(c_0_378,plain,
mult(mult(ld(X1,X2),X2),ld(X1,X2)) = mult(ld(X1,X2),mult(X2,mult(X2,i(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_158]),c_0_58]),c_0_52]),c_0_33]) ).
cnf(c_0_379,plain,
mult(mult(X1,mult(X2,mult(X3,mult(X4,mult(X3,mult(X2,X1)))))),X5) = mult(X1,mult(X2,mult(X3,mult(X4,mult(X3,mult(X2,mult(X1,X5))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_51]),c_0_51]) ).
cnf(c_0_380,plain,
mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_d,mult(op_d,op_d))),
inference(spm,[status(thm)],[c_0_122,c_0_277]) ).
cnf(c_0_381,plain,
ld(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_c,op_c)))) = op_d,
inference(spm,[status(thm)],[c_0_30,c_0_348]) ).
cnf(c_0_382,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_c,op_c)) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_351]),c_0_29]),c_0_30]),c_0_65]),c_0_369]) ).
cnf(c_0_383,plain,
mult(op_d,i(mult(op_c,op_c))) = rd(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_370]),c_0_52]) ).
cnf(c_0_384,plain,
mult(mult(mult(op_d,mult(op_c,op_c)),i(mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_c,op_c)))) = mult(mult(op_d,mult(op_c,op_c)),mult(op_d,op_d)),
inference(rw,[status(thm)],[c_0_371,c_0_348]) ).
cnf(c_0_385,plain,
mult(mult(op_d,mult(op_c,op_c)),i(mult(op_c,op_c))) = op_d,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_351]),c_0_19]) ).
cnf(c_0_386,plain,
mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_c)))),mult(mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_c)))),op_c))) = mult(op_d,mult(op_c,mult(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(spm,[status(thm)],[c_0_164,c_0_276]),c_0_164]),c_0_29]),c_0_29]),c_0_115]),c_0_25]),c_0_25]),c_0_122]),c_0_34]),c_0_25]),c_0_58]),c_0_19]) ).
cnf(c_0_387,plain,
mult(op_c,rd(mult(op_c,mult(op_c,mult(op_c,op_d))),op_c)) = mult(op_d,mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_372]),c_0_19]),c_0_52]),c_0_373]) ).
cnf(c_0_388,plain,
mult(mult(ld(X1,X2),X2),mult(X1,i(X2))) = mult(ld(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_21]),c_0_14]),c_0_52]) ).
cnf(c_0_389,plain,
mult(mult(X1,X2),i(mult(X1,mult(X2,X2)))) = ld(mult(X1,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_239]),c_0_145]) ).
cnf(c_0_390,plain,
rd(mult(op_c,op_c),i(mult(op_c,mult(op_c,op_d)))) = mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c)))),
inference(spm,[status(thm)],[c_0_47,c_0_374]) ).
cnf(c_0_391,plain,
mult(op_c,mult(op_c,i(mult(op_d,mult(op_c,op_c))))) = rd(mult(op_c,op_c),mult(op_c,mult(op_c,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_375]),c_0_52]),c_0_33]) ).
cnf(c_0_392,plain,
ld(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))),mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c))))))) = op_c,
inference(spm,[status(thm)],[c_0_30,c_0_376]) ).
cnf(c_0_393,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c))))))) = mult(op_d,mult(op_d,i(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_377,c_0_208]),c_0_33]),c_0_240]),c_0_139]),c_0_143]),c_0_33]),c_0_214]),c_0_19]) ).
cnf(c_0_394,plain,
mult(mult(mult(X1,X2),X2),mult(X1,X2)) = mult(mult(X1,X2),mult(X2,mult(X2,X1))),
inference(spm,[status(thm)],[c_0_325,c_0_40]) ).
cnf(c_0_395,plain,
mult(mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))))),mult(op_c,op_c)) = mult(op_d,mult(op_d,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_378,c_0_321]),c_0_33]),c_0_379]),c_0_58]),c_0_58]),c_0_58]),c_0_58]),c_0_21]),c_0_14]),c_0_379]),c_0_380]),c_0_139]),c_0_24]) ).
cnf(c_0_396,plain,
mult(rd(op_d,mult(op_c,op_c)),mult(op_d,mult(op_c,op_c))) = mult(op_d,op_d),
inference(spm,[status(thm)],[c_0_183,c_0_381]) ).
cnf(c_0_397,plain,
mult(mult(op_d,mult(op_c,op_c)),rd(op_d,mult(op_c,op_c))) = mult(op_d,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_164,c_0_382]),c_0_164]),c_0_117]),c_0_130]),c_0_117]),c_0_138]),c_0_139]),c_0_142]),c_0_24]),c_0_33]),c_0_33]),c_0_206]),c_0_383]) ).
cnf(c_0_398,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),
inference(rw,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_399,plain,
mult(mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_c)))),mult(mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_c)))),op_c)) = ld(op_c,mult(op_d,mult(op_c,mult(op_c,op_d)))),
inference(spm,[status(thm)],[c_0_30,c_0_386]) ).
cnf(c_0_400,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),i(op_c)) = mult(op_d,mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[c_0_373,c_0_387]) ).
cnf(c_0_401,plain,
mult(mult(ld(X1,X2),X2),i(mult(ld(X1,X2),X1))) = ld(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_388]),c_0_70]) ).
cnf(c_0_402,plain,
mult(X1,mult(X2,i(mult(mult(X2,X1),X2)))) = ld(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(spm,[status(thm)],[c_0_389,c_0_176]),c_0_46]),c_0_52]),c_0_46]),c_0_157]),c_0_145]) ).
cnf(c_0_403,plain,
mult(op_c,mult(op_c,rd(mult(op_c,op_c),mult(op_c,mult(op_c,op_d))))) = ld(op_d,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(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_325,c_0_390]),c_0_29]),c_0_29]),c_0_115]),c_0_267]),c_0_58]),c_0_267]),c_0_58]),c_0_58]),c_0_365]),c_0_52]),c_0_33]),c_0_391]),c_0_33]),c_0_33]),c_0_58]),c_0_58]),c_0_29]) ).
cnf(c_0_404,plain,
mult(rd(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))),mult(op_d,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c)))))) = mult(op_d,op_c),
inference(spm,[status(thm)],[c_0_183,c_0_392]) ).
cnf(c_0_405,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_40,c_0_27]) ).
cnf(c_0_406,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,i(mult(op_c,op_c)))))))) = mult(op_d,mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_393]),c_0_39]),c_0_58]),c_0_58]),c_0_38]) ).
cnf(c_0_407,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),mult(op_d,mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,op_d)),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_25]),c_0_33]),c_0_122]),c_0_269]),c_0_119]),c_0_24]),c_0_25]),c_0_80]) ).
cnf(c_0_408,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_396]),c_0_33]),c_0_397]),c_0_398]),c_0_33]) ).
cnf(c_0_409,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_d,ld(mult(op_c,op_c),op_d))))) = ld(op_c,mult(op_d,mult(op_c,mult(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)],[c_0_399,c_0_267]),c_0_267]),c_0_25]),c_0_138]),c_0_25]),c_0_139]) ).
cnf(c_0_410,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),mult(op_c,op_c)) = mult(op_d,mult(mult(op_d,mult(op_c,op_c)),op_d)),
inference(spm,[status(thm)],[c_0_159,c_0_330]) ).
cnf(c_0_411,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),i(mult(op_d,mult(op_c,mult(op_c,op_c))))) = op_c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_400]),c_0_19]) ).
cnf(c_0_412,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),i(mult(op_d,mult(op_d,mult(op_c,op_c))))) = op_d,
inference(spm,[status(thm)],[c_0_401,c_0_381]) ).
cnf(c_0_413,plain,
rd(mult(op_c,op_c),mult(op_c,mult(op_c,op_d))) = ld(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_348]),c_0_58]),c_0_33]),c_0_391]),c_0_33]) ).
cnf(c_0_414,plain,
ld(X1,mult(rd(X1,X2),X3)) = ld(mult(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_30,c_0_183]) ).
cnf(c_0_415,plain,
mult(rd(op_d,mult(op_c,op_c)),op_d) = mult(op_d,rd(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_385]),c_0_383]),c_0_29]),c_0_29]),c_0_115]),c_0_33]),c_0_391]),c_0_33]),c_0_403]),c_0_52]),c_0_383]) ).
cnf(c_0_416,plain,
mult(op_c,mult(op_d,mult(rd(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))),mult(op_d,op_c)))) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_404]),c_0_405]) ).
cnf(c_0_417,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,rd(op_d,mult(op_c,op_c))))))) = mult(op_d,mult(op_d,mult(op_c,op_c))),
inference(spm,[status(thm)],[c_0_406,c_0_383]) ).
cnf(c_0_418,plain,
mult(op_d,rd(op_d,mult(op_c,op_c))) = mult(op_d,ld(mult(op_c,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(spm,[status(thm)],[c_0_337,c_0_407]),c_0_269]),c_0_119]),c_0_142]),c_0_75]),c_0_408]),c_0_80]),c_0_269]),c_0_119]),c_0_52]),c_0_33]),c_0_383]) ).
cnf(c_0_419,plain,
mult(op_c,mult(op_c,mult(op_d,ld(mult(op_c,op_c),op_d)))) = ld(mult(op_c,op_c),mult(op_d,mult(op_c,mult(op_c,op_d)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_409]),c_0_115]),c_0_119]) ).
cnf(c_0_420,plain,
mult(op_d,mult(op_d,mult(op_c,mult(rd(op_c,mult(op_c,op_d)),mult(op_c,mult(op_d,op_d)))))) = mult(op_d,mult(mult(op_d,mult(op_c,op_c)),op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_322]),c_0_130]),c_0_410]) ).
cnf(c_0_421,plain,
mult(op_c,mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c)) = rd(mult(op_c,op_d),mult(op_c,mult(op_c,op_c))),
inference(spm,[status(thm)],[c_0_159,c_0_349]) ).
cnf(c_0_422,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),op_c) = mult(op_d,i(mult(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_411]),c_0_58]),c_0_117]),c_0_58]),c_0_58]),c_0_21]),c_0_14]),c_0_117]),c_0_39]) ).
cnf(c_0_423,plain,
mult(op_c,mult(op_d,i(mult(op_c,mult(op_c,op_c))))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_122,c_0_276]) ).
cnf(c_0_424,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),i(mult(op_d,mult(op_c,op_c)))) = mult(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_412]),c_0_29]),c_0_29]),c_0_115]),c_0_267]),c_0_58]),c_0_267]),c_0_58]),c_0_33]),c_0_391]),c_0_413]),c_0_33]),c_0_183]),c_0_159]),c_0_370]),c_0_24]) ).
cnf(c_0_425,plain,
ld(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))) = mult(op_d,op_d),
inference(spm,[status(thm)],[c_0_30,c_0_398]) ).
cnf(c_0_426,plain,
ld(mult(op_d,mult(op_c,op_c)),mult(op_d,op_d)) = rd(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_30]) ).
cnf(c_0_427,plain,
mult(rd(X1,X2),i(X3)) = i(mult(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_34,c_0_126]) ).
cnf(c_0_428,plain,
mult(op_d,mult(rd(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))),mult(op_d,op_c))) = i(op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_416]),c_0_43]) ).
cnf(c_0_429,plain,
mult(op_d,mult(op_c,mult(op_c,op_d))) = mult(op_d,mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]),c_0_142]),c_0_24]) ).
cnf(c_0_430,plain,
mult(op_d,mult(op_c,mult(rd(op_c,mult(op_c,op_d)),mult(op_c,mult(op_d,op_d))))) = mult(mult(op_d,mult(op_c,op_c)),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_420]),c_0_30]) ).
cnf(c_0_431,plain,
rd(mult(op_c,op_d),mult(op_c,mult(op_c,op_c))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_421,c_0_422]),c_0_423]) ).
cnf(c_0_432,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),rd(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,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_164,c_0_424]),c_0_33]),c_0_29]),c_0_425]),c_0_29]),c_0_426]) ).
cnf(c_0_433,plain,
rd(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))) = i(mult(op_d,mult(op_c,op_c))),
inference(spm,[status(thm)],[c_0_68,c_0_348]) ).
cnf(c_0_434,plain,
mult(X1,i(mult(rd(X1,X2),X3))) = mult(mult(X1,X2),i(mult(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_34]),c_0_427]) ).
cnf(c_0_435,plain,
mult(rd(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))),mult(op_d,op_c)) = i(mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_428]),c_0_34]) ).
cnf(c_0_436,plain,
mult(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)) = mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_370]),c_0_24]),c_0_33]),c_0_33]) ).
cnf(c_0_437,plain,
mult(op_c,mult(op_c,op_d)) = mult(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_429]),c_0_30]) ).
cnf(c_0_438,plain,
mult(op_c,mult(rd(op_c,mult(op_c,op_d)),mult(op_c,mult(op_d,op_d)))) = ld(op_d,mult(mult(op_d,mult(op_c,op_c)),op_d)),
inference(spm,[status(thm)],[c_0_30,c_0_430]) ).
cnf(c_0_439,plain,
mult(rd(mult(op_c,op_c),mult(op_c,mult(op_c,op_d))),op_c) = mult(op_c,mult(op_c,i(mult(op_d,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_431]),c_0_139]),c_0_52]),c_0_33]) ).
cnf(c_0_440,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = ld(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_432]),c_0_22]),c_0_83]),c_0_370]) ).
cnf(c_0_441,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),op_d) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_433]),c_0_267]),c_0_58]),c_0_385]),c_0_348]) ).
cnf(c_0_442,plain,
rd(mult(op_d,op_d),mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(spm,[status(thm)],[c_0_40,c_0_193]) ).
cnf(c_0_443,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_100]),c_0_33]),c_0_58]),c_0_58]),c_0_38]),c_0_33]),c_0_80]),c_0_50]),c_0_25]),c_0_19]) ).
cnf(c_0_444,plain,
mult(mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))),i(mult(op_d,mult(op_d,op_c)))) = mult(op_d,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_19]) ).
cnf(c_0_445,plain,
mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c)))) = mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_437]),c_0_382]) ).
cnf(c_0_446,plain,
rd(mult(op_c,mult(op_c,mult(op_c,op_d))),op_c) = ld(op_c,mult(op_d,mult(op_c,mult(op_c,op_c)))),
inference(spm,[status(thm)],[c_0_30,c_0_387]) ).
cnf(c_0_447,plain,
ld(mult(op_c,mult(op_c,op_d)),mult(op_c,mult(op_c,mult(op_d,op_d)))) = mult(mult(op_c,mult(op_c,op_d)),i(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(spm,[status(thm)],[c_0_129,c_0_438]),c_0_115]),c_0_402]),c_0_33]),c_0_52]),c_0_414]) ).
cnf(c_0_448,plain,
rd(mult(op_c,mult(X1,i(mult(op_c,mult(op_c,op_c))))),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_c,mult(X1,op_c)),
inference(spm,[status(thm)],[c_0_64,c_0_39]) ).
cnf(c_0_449,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),i(mult(op_c,mult(op_c,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_434,c_0_439]),c_0_119]),c_0_24]),c_0_33]),c_0_130]),c_0_33]) ).
cnf(c_0_450,plain,
mult(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),mult(op_c,mult(op_c,op_c))) = mult(op_c,op_d),
inference(spm,[status(thm)],[c_0_46,c_0_431]) ).
cnf(c_0_451,plain,
rd(mult(op_c,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_440]),c_0_24]),c_0_441]) ).
cnf(c_0_452,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_442]),c_0_443]),c_0_164]),c_0_117]),c_0_130]),c_0_117]),c_0_138]),c_0_139]),c_0_142]),c_0_24]),c_0_79]),c_0_33]) ).
cnf(c_0_453,plain,
mult(op_d,mult(mult(op_d,op_c),mult(mult(op_d,op_c),op_d))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_444]),c_0_54]),c_0_164]) ).
cnf(c_0_454,plain,
mult(op_c,mult(op_c,mult(op_d,op_c))) = mult(op_d,mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_445]),c_0_373]),c_0_446]),c_0_24]),c_0_64]) ).
cnf(c_0_455,plain,
mult(mult(op_c,mult(op_c,op_d)),mult(mult(op_c,mult(op_c,op_d)),i(mult(op_c,op_c)))) = mult(op_c,mult(op_c,mult(op_d,op_d))),
inference(spm,[status(thm)],[c_0_24,c_0_447]) ).
cnf(c_0_456,plain,
rd(mult(op_c,mult(op_d,op_c)),mult(op_c,mult(op_c,mult(op_c,op_c)))) = ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_422]),c_0_423]) ).
cnf(c_0_457,plain,
mult(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),mult(op_c,mult(op_c,mult(op_c,mult(op_d,op_c))))) = mult(op_c,mult(op_d,mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_450]),c_0_164]),c_0_24]),c_0_25]) ).
cnf(c_0_458,plain,
mult(op_c,mult(op_c,mult(op_c,i(mult(op_d,op_c))))) = rd(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_431]),c_0_52]),c_0_25]) ).
cnf(c_0_459,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),mult(op_c,op_c)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_451]),c_0_261]),c_0_261]),c_0_80]),c_0_269]),c_0_119]),c_0_142]),c_0_24]),c_0_33]),c_0_44]) ).
cnf(c_0_460,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_452]),c_0_55]),c_0_22]) ).
cnf(c_0_461,plain,
mult(mult(op_d,op_c),mult(mult(op_d,op_c),op_d)) = mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_453]),c_0_30]) ).
cnf(c_0_462,plain,
ld(mult(op_c,op_c),mult(op_d,op_c)) = mult(op_d,i(op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_454]),c_0_152]),c_0_58]),c_0_52]),c_0_209]) ).
cnf(c_0_463,plain,
mult(mult(op_c,mult(op_c,op_d)),mult(op_c,mult(op_c,rd(op_d,mult(op_c,op_c))))) = mult(op_c,mult(op_c,mult(op_d,op_d))),
inference(rw,[status(thm)],[c_0_455,c_0_377]) ).
cnf(c_0_464,plain,
mult(op_c,mult(op_c,rd(op_d,mult(op_c,op_c)))) = ld(mult(op_c,op_c),mult(op_d,mult(op_c,op_c))),
inference(spm,[status(thm)],[c_0_365,c_0_383]) ).
cnf(c_0_465,plain,
mult(ld(mult(op_c,mult(op_c,op_c)),mult(op_d,op_c)),mult(op_c,mult(op_c,mult(op_c,op_c)))) = mult(op_c,mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_46,c_0_456]) ).
cnf(c_0_466,plain,
ld(X1,mult(rd(mult(X1,X2),X3),X4)) = mult(rd(X2,mult(X1,X3)),mult(X1,X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_159]),c_0_126]),c_0_427]),c_0_70]) ).
cnf(c_0_467,plain,
mult(rd(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),mult(op_c,mult(op_d,mult(op_d,op_c)))) = mult(op_c,mult(op_c,mult(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_30,c_0_457]),c_0_108]),c_0_25]),c_0_458]) ).
cnf(c_0_468,plain,
ld(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),mult(op_c,op_c)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_459]),c_0_164]),c_0_267]),c_0_267]),c_0_267]),c_0_33]),c_0_33]),c_0_244]),c_0_80]),c_0_50]),c_0_25]),c_0_58]),c_0_58]),c_0_38]),c_0_460]) ).
cnf(c_0_469,plain,
mult(rd(X1,mult(rd(X2,X1),X2)),X3) = mult(rd(X1,X2),mult(rd(X1,X2),X3)),
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_119,c_0_427]),c_0_427]),c_0_19]),c_0_127]),c_0_135]),c_0_126]),c_0_135]) ).
cnf(c_0_470,plain,
rd(mult(mult(op_d,op_c),op_d),mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d))))) = i(mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_68,c_0_461]) ).
cnf(c_0_471,plain,
rd(mult(X1,mult(X2,mult(X2,mult(X1,X3)))),X3) = mult(X1,mult(X2,mult(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_33]),c_0_33]) ).
cnf(c_0_472,plain,
rd(mult(op_d,mult(op_c,mult(op_c,mult(op_d,op_d)))),mult(mult(op_d,op_c),op_d)) = mult(op_d,op_c),
inference(spm,[status(thm)],[c_0_40,c_0_461]) ).
cnf(c_0_473,plain,
mult(rd(op_c,mult(op_c,op_d)),mult(op_c,mult(op_d,op_d))) = mult(op_c,mult(mult(op_c,mult(op_c,op_d)),i(mult(op_c,op_c)))),
inference(spm,[status(thm)],[c_0_183,c_0_447]) ).
cnf(c_0_474,plain,
mult(op_c,mult(op_d,i(op_c))) = ld(op_c,mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_142,c_0_462]) ).
cnf(c_0_475,plain,
mult(mult(op_c,mult(op_c,op_d)),ld(mult(op_c,op_c),mult(op_d,mult(op_c,op_c)))) = mult(op_c,mult(op_c,mult(op_d,op_d))),
inference(rw,[status(thm)],[c_0_463,c_0_464]) ).
cnf(c_0_476,plain,
mult(mult(op_d,mult(op_c,op_c)),ld(mult(op_c,op_c),mult(op_d,mult(op_c,op_c)))) = mult(op_d,mult(op_c,mult(op_c,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_351]),c_0_65]),c_0_69]),c_0_33]) ).
cnf(c_0_477,plain,
mult(rd(mult(op_c,mult(op_c,op_c)),mult(op_c,op_d)),mult(op_c,mult(op_d,op_c))) = mult(op_c,mult(op_c,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_465]),c_0_108]),c_0_25]),c_0_458]) ).
cnf(c_0_478,plain,
mult(ld(X1,X2),mult(ld(X1,X2),X3)) = ld(X1,mult(X2,mult(X2,ld(X1,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_158]),c_0_29]),c_0_320]),c_0_33]) ).
cnf(c_0_479,plain,
mult(rd(mult(op_c,op_c),mult(op_c,mult(op_c,op_d))),mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c))))) = mult(op_c,mult(op_c,mult(op_d,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_30]) ).
cnf(c_0_480,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_24,c_0_468]) ).
cnf(c_0_481,plain,
rd(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),mult(op_d,op_d)) = mult(op_d,mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_40,c_0_398]) ).
cnf(c_0_482,plain,
mult(mult(op_d,op_c),mult(mult(op_d,op_c),X1)) = mult(op_d,mult(op_c,mult(op_c,mult(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(spm,[status(thm)],[c_0_469,c_0_470]),c_0_29]),c_0_30]),c_0_471]),c_0_261]),c_0_472]),c_0_472]) ).
cnf(c_0_483,plain,
mult(mult(op_c,op_d),mult(mult(op_c,op_d),X1)) = mult(op_c,mult(op_d,mult(op_d,mult(op_c,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_469,c_0_309]),c_0_29]),c_0_30]),c_0_471]),c_0_261]),c_0_311]),c_0_311]) ).
cnf(c_0_484,plain,
mult(op_c,mult(op_c,mult(mult(op_c,mult(op_c,op_d)),i(mult(op_c,op_c))))) = ld(op_d,mult(mult(op_d,mult(op_c,op_c)),op_d)),
inference(rw,[status(thm)],[c_0_438,c_0_473]) ).
cnf(c_0_485,plain,
rd(op_c,i(mult(op_d,mult(op_d,op_c)))) = mult(op_d,mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_474]),c_0_24]),c_0_437]),c_0_65]) ).
cnf(c_0_486,plain,
mult(op_c,mult(op_c,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_475,c_0_437]),c_0_476]),c_0_437]) ).
cnf(c_0_487,plain,
mult(rd(mult(op_c,op_c),mult(op_c,mult(op_c,op_d))),mult(op_c,mult(op_c,mult(op_d,op_c)))) = mult(op_c,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_477]),c_0_30]) ).
cnf(c_0_488,plain,
mult(rd(X1,X2),rd(X1,X2)) = rd(X1,mult(rd(X2,X1),X2)),
inference(rw,[status(thm)],[c_0_127,c_0_135]) ).
cnf(c_0_489,plain,
mult(ld(mult(op_c,op_c),mult(op_d,mult(op_c,op_c))),mult(op_c,mult(op_c,op_d))) = mult(op_c,mult(op_c,mult(op_d,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_478,c_0_334]),c_0_42]),c_0_14]),c_0_164]),c_0_33]),c_0_33]),c_0_130]),c_0_358]) ).
cnf(c_0_490,plain,
mult(ld(mult(op_c,op_c),mult(op_d,mult(op_c,op_c))),mult(op_c,mult(op_c,mult(op_d,op_c)))) = mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_479]),c_0_126]),c_0_375]) ).
cnf(c_0_491,plain,
rd(ld(op_d,X1),ld(mult(op_d,mult(op_d,op_d)),X1)) = mult(op_d,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_300]),c_0_142]) ).
cnf(c_0_492,plain,
mult(op_d,mult(op_d,mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),mult(op_d,mult(op_d,op_d)))))) = mult(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_480]),c_0_481]) ).
cnf(c_0_493,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),i(mult(op_c,op_c))) = mult(op_d,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(spm,[status(thm)],[c_0_60,c_0_319]),c_0_153]),c_0_58]),c_0_45]),c_0_129]),c_0_30]),c_0_368]) ).
cnf(c_0_494,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,mult(op_d,i(mult(op_c,op_c))))))) = mult(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_206]),c_0_39]),c_0_58]),c_0_58]),c_0_38]) ).
cnf(c_0_495,plain,
mult(mult(op_d,op_c),mult(op_d,mult(rd(op_c,op_d),X1))) = mult(op_d,mult(op_c,mult(op_c,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_359]),c_0_24]) ).
cnf(c_0_496,plain,
mult(mult(op_c,op_d),mult(op_c,mult(rd(op_d,op_c),X1))) = mult(op_c,mult(op_d,mult(op_d,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_359]),c_0_24]) ).
cnf(c_0_497,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,rd(op_d,mult(op_c,op_c)))))) = ld(op_d,mult(mult(op_d,mult(op_c,op_c)),op_d)),
inference(spm,[status(thm)],[c_0_484,c_0_377]) ).
cnf(c_0_498,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),i(mult(op_d,mult(op_d,op_c)))) = op_c,
inference(spm,[status(thm)],[c_0_46,c_0_485]) ).
cnf(c_0_499,plain,
ld(op_c,mult(op_d,mult(op_d,mult(op_c,op_c)))) = mult(op_c,mult(op_d,op_d)),
inference(spm,[status(thm)],[c_0_30,c_0_486]) ).
cnf(c_0_500,plain,
mult(rd(mult(op_c,mult(op_c,mult(op_d,op_d))),mult(op_c,op_c)),op_c) = mult(op_c,mult(op_c,mult(op_d,mult(op_d,i(op_c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_237]),c_0_157]),c_0_252]) ).
cnf(c_0_501,plain,
mult(rd(mult(op_c,mult(op_c,mult(op_d,op_d))),mult(op_c,op_c)),mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(op_c,mult(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_487]),c_0_488]),c_0_375]),c_0_489]),c_0_126]),c_0_126]),c_0_375]),c_0_490]) ).
cnf(c_0_502,plain,
rd(ld(mult(op_d,mult(op_d,op_d)),X1),ld(op_d,X1)) = i(mult(op_d,op_d)),
inference(spm,[status(thm)],[c_0_83,c_0_491]) ).
cnf(c_0_503,plain,
mult(op_d,mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),mult(op_d,mult(op_d,op_d))))) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_492]),c_0_30]) ).
cnf(c_0_504,plain,
ld(mult(X1,X2),mult(rd(X1,X2),X3)) = ld(mult(mult(X1,X2),X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_220,c_0_183]) ).
cnf(c_0_505,plain,
mult(mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))),mult(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_d,i(mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_493]),c_0_261]),c_0_494]),c_0_261]),c_0_206]) ).
cnf(c_0_506,plain,
mult(op_d,mult(op_c,mult(op_c,mult(rd(op_d,op_c),X1)))) = mult(mult(op_d,op_c),mult(op_d,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_24]),c_0_126]) ).
cnf(c_0_507,plain,
mult(op_c,mult(op_d,mult(op_d,mult(rd(op_c,op_d),X1)))) = mult(mult(op_c,op_d),mult(op_c,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_24]),c_0_126]) ).
cnf(c_0_508,plain,
mult(mult(op_c,mult(op_c,op_d)),mult(op_c,mult(op_c,mult(op_d,op_d)))) = mult(op_c,mult(op_c,mult(op_d,mult(mult(op_d,mult(op_c,op_c)),op_d)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_463]),c_0_267]),c_0_497]),c_0_24]) ).
cnf(c_0_509,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,mult(op_c,op_c)))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_348]),c_0_33]),c_0_33]),c_0_246]) ).
cnf(c_0_510,plain,
mult(ld(op_c,mult(op_d,mult(op_d,op_c))),op_c) = mult(op_c,mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_498]),c_0_234]),c_0_499]) ).
cnf(c_0_511,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),i(op_c)) = mult(op_d,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_498]),c_0_19]) ).
cnf(c_0_512,plain,
mult(op_c,mult(op_c,mult(op_d,mult(op_d,i(op_c))))) = mult(op_d,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_486]),c_0_99]),c_0_33]) ).
cnf(c_0_513,plain,
mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c)))) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_486]),c_0_99]),c_0_33]) ).
cnf(c_0_514,plain,
mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))),op_d)) = rd(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,op_d))),
inference(spm,[status(thm)],[c_0_159,c_0_451]) ).
cnf(c_0_515,plain,
rd(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,op_d))) = ld(mult(op_d,op_d),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(spm,[status(thm)],[c_0_242,c_0_440]),c_0_24]),c_0_408]),c_0_80]),c_0_269]),c_0_119]) ).
cnf(c_0_516,plain,
mult(mult(op_d,mult(op_d,X1)),i(mult(op_d,op_d))) = mult(op_d,mult(op_d,rd(X1,mult(op_d,op_d)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_491]),c_0_33]),c_0_33]),c_0_502]) ).
cnf(c_0_517,plain,
mult(op_d,mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),mult(op_d,op_d)))) = ld(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_503]),c_0_370]) ).
cnf(c_0_518,plain,
mult(ld(X1,X2),i(X3)) = i(mult(mult(X1,i(X2)),X3)),
inference(spm,[status(thm)],[c_0_52,c_0_108]) ).
cnf(c_0_519,plain,
mult(rd(op_d,mult(op_c,op_c)),mult(op_d,op_d)) = mult(op_d,mult(op_d,rd(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_426]),c_0_504]),c_0_382]),c_0_33]),c_0_183]),c_0_349]),c_0_505]),c_0_383]),c_0_33]),c_0_58]),c_0_383]) ).
cnf(c_0_520,plain,
mult(op_d,mult(op_d,rd(op_d,mult(op_c,op_c)))) = rd(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_396]),c_0_415]) ).
cnf(c_0_521,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_c,X1))) = mult(op_d,mult(op_c,mult(mult(op_c,op_d),X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_176]),c_0_24]) ).
cnf(c_0_522,plain,
mult(mult(op_c,op_d),mult(op_c,mult(op_d,X1))) = mult(op_c,mult(op_d,mult(mult(op_d,op_c),X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_176]),c_0_24]) ).
cnf(c_0_523,plain,
mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_508,c_0_437]),c_0_348]),c_0_486]),c_0_509]) ).
cnf(c_0_524,plain,
rd(mult(op_c,mult(op_d,op_d)),op_c) = ld(op_c,mult(op_d,mult(op_d,op_c))),
inference(spm,[status(thm)],[c_0_40,c_0_510]) ).
cnf(c_0_525,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_d,mult(op_d,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(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(spm,[status(thm)],[c_0_267,c_0_511]),c_0_267]),c_0_33]),c_0_512]),c_0_33]),c_0_513]) ).
cnf(c_0_526,plain,
mult(op_d,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))),op_d)) = ld(mult(op_d,op_d),mult(op_c,op_c)),
inference(rw,[status(thm)],[c_0_514,c_0_515]) ).
cnf(c_0_527,plain,
rd(mult(op_c,op_c),mult(op_d,mult(op_d,op_d))) = ld(mult(op_d,mult(op_d,op_d)),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_516,c_0_517]),c_0_518]),c_0_383]),c_0_519]),c_0_520]),c_0_83]),c_0_40]),c_0_80]) ).
cnf(c_0_528,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,op_c))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_513]),c_0_522]),c_0_164]),c_0_437]),c_0_523]) ).
cnf(c_0_529,plain,
mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(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(spm,[status(thm)],[c_0_239,c_0_524]),c_0_486]),c_0_24]),c_0_525]),c_0_164]),c_0_33]),c_0_33]) ).
cnf(c_0_530,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))))))) = i(mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_267]),c_0_267]),c_0_33]),c_0_33]) ).
cnf(c_0_531,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,i(op_c)))))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))),
inference(spm,[status(thm)],[c_0_58,c_0_248]) ).
cnf(c_0_532,plain,
mult(ld(mult(op_c,mult(op_c,op_d)),mult(op_c,op_c)),op_c) = mult(op_c,mult(op_c,i(mult(op_d,op_c)))),
inference(rw,[status(thm)],[c_0_439,c_0_413]) ).
cnf(c_0_533,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))),op_d) = ld(mult(op_d,mult(op_d,op_d)),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(spm,[status(thm)],[c_0_30,c_0_526]),c_0_115]),c_0_33]),c_0_383]),c_0_520]),c_0_83]),c_0_527]) ).
cnf(c_0_534,plain,
mult(mult(op_d,op_c),i(mult(op_d,mult(op_d,op_c)))) = i(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_528]),c_0_164]),c_0_71]),c_0_76]),c_0_58]),c_0_267]),c_0_267]),c_0_267]),c_0_25]),c_0_529]),c_0_25]),c_0_530]),c_0_58]),c_0_248]),c_0_531]),c_0_58]),c_0_58]) ).
cnf(c_0_535,plain,
mult(op_c,mult(op_c,i(mult(op_d,op_c)))) = ld(op_d,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_437]),c_0_351]),c_0_29]) ).
cnf(c_0_536,plain,
mult(mult(op_d,rd(op_d,mult(op_c,op_c))),op_d) = rd(mult(op_d,mult(op_d,op_d)),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_533]),c_0_269]),c_0_119]),c_0_108]),c_0_33]),c_0_383]),c_0_80]),c_0_52]),c_0_25]),c_0_383]),c_0_520]) ).
cnf(c_0_537,plain,
mult(op_d,rd(op_c,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_267,c_0_534]),c_0_60]),c_0_58]),c_0_535]),c_0_24]) ).
cnf(c_0_538,plain,
mult(op_d,ld(mult(op_c,op_c),mult(op_d,op_d))) = rd(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_536,c_0_418]),c_0_153]) ).
cnf(c_0_539,plain,
rd(mult(op_d,op_d),mult(op_d,mult(op_c,op_c))) = rd(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_381]),c_0_82]) ).
cnf(c_0_540,plain,
rd(op_c,op_d) = ld(op_d,op_c),
inference(spm,[status(thm)],[c_0_30,c_0_537]) ).
cnf(c_0_541,plain,
ld(mult(op_c,op_c),mult(op_d,mult(op_c,op_c))) = op_d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_437]),c_0_40]) ).
cnf(c_0_542,plain,
mult(op_d,ld(mult(op_c,op_c),op_d)) = ld(mult(op_c,op_c),mult(op_d,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_30,c_0_538]),c_0_157]),c_0_252]),c_0_539]),c_0_415]),c_0_418]) ).
cnf(c_0_543,plain,
mult(ld(op_d,op_c),op_d) = op_c,
inference(spm,[status(thm)],[c_0_46,c_0_540]) ).
cnf(c_0_544,plain,
i(mult(op_d,rd(op_d,mult(op_c,op_c)))) = ld(mult(op_d,op_d),mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_119,c_0_383]) ).
cnf(c_0_545,plain,
rd(mult(op_d,op_d),mult(op_c,op_c)) = ld(mult(op_c,op_c),mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_541]),c_0_542]) ).
cnf(c_0_546,plain,
rd(op_d,i(op_c)) = mult(op_d,op_c),
inference(spm,[status(thm)],[c_0_191,c_0_543]) ).
cnf(c_0_547,plain,
rd(mult(op_d,op_c),mult(op_d,i(op_c))) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_47,c_0_462]) ).
cnf(c_0_548,plain,
mult(op_d,i(op_c)) = rd(op_d,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_540]),c_0_52]) ).
cnf(c_0_549,plain,
mult(ld(op_d,op_c),mult(op_d,op_c)) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_543]),c_0_24]) ).
cnf(c_0_550,plain,
mult(op_c,mult(op_c,i(mult(op_d,op_d)))) = ld(mult(op_d,op_d),mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_544,c_0_418]),c_0_542]),c_0_52]),c_0_33]) ).
cnf(c_0_551,plain,
rd(op_d,mult(op_c,op_c)) = ld(mult(op_c,op_c),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_418]),c_0_30]) ).
cnf(c_0_552,plain,
mult(ld(mult(op_c,op_c),mult(op_d,op_d)),mult(op_c,op_c)) = mult(op_d,op_d),
inference(spm,[status(thm)],[c_0_46,c_0_545]) ).
cnf(c_0_553,plain,
mult(mult(op_d,op_c),i(op_c)) = op_d,
inference(spm,[status(thm)],[c_0_46,c_0_546]) ).
cnf(c_0_554,plain,
rd(mult(op_d,op_c),rd(op_d,op_c)) = mult(op_c,op_c),
inference(rw,[status(thm)],[c_0_547,c_0_548]) ).
cnf(c_0_555,plain,
mult(mult(op_c,op_d),op_c) = mult(op_c,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_540]),c_0_24]) ).
cnf(c_0_556,plain,
mult(rd(op_d,op_c),mult(op_d,op_c)) = mult(op_d,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_549]),c_0_158]),c_0_542]),c_0_52]),c_0_33]),c_0_550]),c_0_108]),c_0_33]),c_0_383]),c_0_551]),c_0_542]),c_0_552]),c_0_108]),c_0_548]) ).
cnf(c_0_557,plain,
mult(mult(op_d,op_c),rd(op_d,op_c)) = mult(op_d,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(spm,[status(thm)],[c_0_164,c_0_553]),c_0_29]),c_0_29]),c_0_115]),c_0_119]),c_0_462]),c_0_548]) ).
cnf(c_0_558,plain,
mult(mult(op_d,op_c),mult(op_d,op_d)) = mult(op_d,mult(op_d,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_554]),c_0_176]),c_0_555]),c_0_30]),c_0_556]),c_0_557]),c_0_33]) ).
cnf(c_0_559,plain,
mult(rd(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_c)))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_556]),c_0_33]),c_0_557]),c_0_558]) ).
cnf(c_0_560,plain,
mult(op_c,mult(op_d,mult(mult(op_d,op_c),mult(op_d,mult(op_d,op_d))))) = mult(op_c,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_559]),c_0_522]) ).
cnf(c_0_561,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,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(spm,[status(thm)],[c_0_325,c_0_545]),c_0_24]),c_0_33]),c_0_486]),c_0_33]),c_0_33]) ).
cnf(c_0_562,plain,
ld(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_c)))) = mult(op_d,op_d),
inference(spm,[status(thm)],[c_0_30,c_0_558]) ).
cnf(c_0_563,plain,
mult(op_c,mult(op_d,mult(op_d,i(op_c)))) = ld(op_c,mult(op_d,mult(op_d,op_c))),
inference(spm,[status(thm)],[c_0_30,c_0_512]) ).
cnf(c_0_564,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_560]),c_0_180]) ).
cnf(c_0_565,plain,
mult(op_c,mult(op_c,mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,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(spm,[status(thm)],[c_0_239,c_0_545]),c_0_33]),c_0_486]),c_0_24]),c_0_33]),c_0_33]),c_0_561]) ).
cnf(c_0_566,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))),mult(op_d,op_d)) = ld(mult(op_d,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(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_378,c_0_562]),c_0_33]),c_0_267]),c_0_58]),c_0_267]),c_0_267]),c_0_563]),c_0_24]),c_0_33]),c_0_80]),c_0_300]) ).
cnf(c_0_567,plain,
mult(rd(op_d,op_c),op_d) = mult(op_d,rd(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_546]),c_0_29]),c_0_29]),c_0_115]),c_0_119]),c_0_462]),c_0_548]),c_0_548]) ).
cnf(c_0_568,plain,
rd(X1,mult(X2,mult(X3,mult(X2,mult(X4,mult(X2,mult(X3,mult(X2,X1)))))))) = i(mult(X2,mult(X3,mult(X2,mult(X4,mult(X2,mult(X3,X2))))))),
inference(spm,[status(thm)],[c_0_68,c_0_118]) ).
cnf(c_0_569,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_564]),c_0_565]) ).
cnf(c_0_570,plain,
mult(op_d,rd(op_d,op_c)) = ld(op_c,mult(op_d,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_78,c_0_566]),c_0_24]),c_0_33]),c_0_80]),c_0_300]),c_0_52]),c_0_33]),c_0_548]) ).
cnf(c_0_571,plain,
i(mult(op_d,rd(op_d,op_c))) = ld(mult(op_d,op_d),op_c),
inference(spm,[status(thm)],[c_0_119,c_0_548]) ).
cnf(c_0_572,plain,
mult(rd(ld(X1,X2),X3),mult(X1,i(X2))) = i(X3),
inference(spm,[status(thm)],[c_0_74,c_0_70]) ).
cnf(c_0_573,plain,
rd(mult(X1,i(X2)),i(X3)) = rd(X3,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_61,c_0_52]) ).
cnf(c_0_574,plain,
rd(mult(op_d,rd(op_d,op_c)),op_d) = rd(op_d,op_c),
inference(spm,[status(thm)],[c_0_40,c_0_567]) ).
cnf(c_0_575,plain,
rd(mult(X1,X1),mult(X2,mult(X2,rd(X1,X2)))) = rd(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_297]),c_0_82]),c_0_83]) ).
cnf(c_0_576,plain,
mult(op_d,ld(op_c,op_d)) = ld(op_c,mult(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_569]),c_0_80]),c_0_269]),c_0_119]),c_0_142]),c_0_140]),c_0_68]),c_0_29]),c_0_564]),c_0_80]),c_0_300]),c_0_52]),c_0_33]),c_0_548]),c_0_570]) ).
cnf(c_0_577,plain,
mult(op_c,i(mult(op_d,op_d))) = ld(mult(op_d,op_d),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_571,c_0_570]),c_0_52]) ).
cnf(c_0_578,plain,
mult(X1,mult(rd(ld(X1,X2),X3),X1)) = rd(X2,ld(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_572]),c_0_573]) ).
cnf(c_0_579,plain,
rd(ld(op_c,mult(op_d,op_d)),op_d) = rd(op_d,op_c),
inference(rw,[status(thm)],[c_0_574,c_0_570]) ).
cnf(c_0_580,negated_conjecture,
mult(op_c,op_d) != mult(op_d,op_c),
inference(fof_simplification,[status(thm)],[goals]) ).
cnf(c_0_581,plain,
rd(mult(op_d,op_d),rd(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_575,c_0_546]),c_0_29]),c_0_29]),c_0_115]),c_0_119]),c_0_462]),c_0_548]) ).
cnf(c_0_582,plain,
rd(op_d,op_c) = ld(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(spm,[status(thm)],[c_0_30,c_0_576]),c_0_115]),c_0_577]),c_0_142]),c_0_52]),c_0_548]) ).
cnf(c_0_583,plain,
rd(mult(op_d,op_d),ld(op_c,op_d)) = mult(op_c,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_579]),c_0_46]) ).
cnf(c_0_584,negated_conjecture,
mult(op_c,op_d) != mult(op_d,op_c),
c_0_580 ).
cnf(c_0_585,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_581,c_0_582]),c_0_583]),c_0_584]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP690-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n020.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 20 20:34:32 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.55 Running first-order theorem proving
% 0.24/0.55 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.68/15.45 % Version: 3.5.1
% 101.68/15.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 101.68/15.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 101.68/15.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 101.68/15.45 % Starting new_bool_3 with 300s (1) cores
% 101.68/15.45 % Starting new_bool_1 with 300s (1) cores
% 101.68/15.45 % Starting sh5l with 300s (1) cores
% 101.68/15.45 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1183695 completed with status 0
% 101.68/15.45 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 101.68/15.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 101.68/15.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 101.68/15.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 101.68/15.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 101.68/15.45 % No SInE strategy applied
% 101.68/15.45 % Search class: FUUPM-FFSF21-DFFFFFNN
% 101.68/15.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 101.68/15.45 % Starting SubtermCWHack with 136s (1) cores
% 101.68/15.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 101.68/15.45 % Starting G-E--_201_C45_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 101.68/15.45 % Starting new_bool_3 with 136s (1) cores
% 101.68/15.45 % Starting new_bool_1 with 136s (1) cores
% 101.68/15.45 % G-E--_201_C45_F1_AE_CS_SP_PI_S0Y with pid 1183701 completed with status 0
% 101.68/15.45 % Result found by G-E--_201_C45_F1_AE_CS_SP_PI_S0Y
% 101.68/15.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 101.68/15.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 101.68/15.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 101.68/15.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 101.68/15.45 % No SInE strategy applied
% 101.68/15.45 % Search class: FUUPM-FFSF21-DFFFFFNN
% 101.68/15.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 101.68/15.45 % Starting SubtermCWHack with 136s (1) cores
% 101.68/15.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 101.68/15.45 % Starting G-E--_201_C45_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 101.68/15.45 % Preprocessing time : 0.001 s
% 101.68/15.45
% 101.68/15.45 % Proof found!
% 101.68/15.45 % SZS status Unsatisfiable
% 101.68/15.45 % SZS output start CNFRefutation
% See solution above
% 101.68/15.45 % Parsed axioms : 12
% 101.68/15.45 % Removed by relevancy pruning/SinE : 0
% 101.68/15.45 % Initial clauses : 12
% 101.68/15.45 % Removed in clause preprocessing : 0
% 101.68/15.45 % Initial clauses in saturation : 12
% 101.68/15.45 % Processed clauses : 5870
% 101.68/15.45 % ...of these trivial : 3120
% 101.68/15.45 % ...subsumed : 451
% 101.68/15.45 % ...remaining for further processing : 2299
% 101.68/15.45 % Other redundant clauses eliminated : 0
% 101.68/15.45 % Clauses deleted for lack of memory : 0
% 101.68/15.45 % Backward-subsumed : 0
% 101.68/15.45 % Backward-rewritten : 1087
% 101.68/15.45 % Generated clauses : 433529
% 101.68/15.45 % ...of the previous two non-redundant : 381380
% 101.68/15.45 % ...aggressively subsumed : 0
% 101.68/15.45 % Contextual simplify-reflections : 0
% 101.68/15.45 % Paramodulations : 433529
% 101.68/15.45 % Factorizations : 0
% 101.68/15.45 % NegExts : 0
% 101.68/15.45 % Equation resolutions : 0
% 101.68/15.45 % Disequality decompositions : 0
% 101.68/15.45 % Total rewrite steps : 1262973
% 101.68/15.45 % ...of those cached : 1028727
% 101.68/15.45 % Propositional unsat checks : 0
% 101.68/15.45 % Propositional check models : 0
% 101.68/15.45 % Propositional check unsatisfiable : 0
% 101.68/15.45 % Propositional clauses : 0
% 101.68/15.45 % Propositional clauses after purity: 0
% 101.68/15.45 % Propositional unsat core size : 0
% 101.68/15.45 % Propositional preprocessing time : 0.000
% 101.68/15.45 % Propositional encoding time : 0.000
% 101.68/15.45 % Propositional solver time : 0.000
% 101.68/15.45 % Success case prop preproc time : 0.000
% 101.68/15.45 % Success case prop encoding time : 0.000
% 101.68/15.45 % Success case prop solver time : 0.000
% 101.68/15.45 % Current number of processed clauses : 1212
% 101.68/15.45 % Positive orientable unit clauses : 1196
% 101.68/15.45 % Positive unorientable unit clauses: 15
% 101.68/15.45 % Negative unit clauses : 1
% 101.68/15.45 % Non-unit-clauses : 0
% 101.68/15.45 % Current number of unprocessed clauses: 373931
% 101.68/15.45 % ...number of literals in the above : 373931
% 101.68/15.45 % Current number of archived formulas : 0
% 101.68/15.45 % Current number of archived clauses : 1087
% 101.68/15.45 % Clause-clause subsumption calls (NU) : 0
% 101.68/15.45 % Rec. Clause-clause subsumption calls : 0
% 101.68/15.45 % Non-unit clause-clause subsumptions : 0
% 101.68/15.45 % Unit Clause-clause subsumption calls : 60
% 101.68/15.45 % Rewrite failures with RHS unbound : 0
% 101.68/15.45 % BW rewrite match attempts : 30021
% 101.68/15.45 % BW rewrite match successes : 637
% 101.68/15.45 % Condensation attempts : 0
% 101.68/15.45 % Condensation successes : 0
% 101.68/15.45 % Termbank termtop insertions : 22621079
% 101.68/15.45 % Search garbage collected termcells : 2
% 101.68/15.45
% 101.68/15.45 % -------------------------------------------------
% 101.68/15.45 % User time : 14.065 s
% 101.68/15.45 % System time : 0.533 s
% 101.68/15.45 % Total time : 14.598 s
% 101.68/15.45 % Maximum resident set size: 3332 pages
% 101.68/15.45
% 101.68/15.45 % -------------------------------------------------
% 101.68/15.45 % User time : 70.466 s
% 101.68/15.45 % System time : 2.417 s
% 101.68/15.45 % Total time : 72.883 s
% 101.68/15.45 % Maximum resident set size: 4864 pages
% 101.68/15.45 % E exiting
%------------------------------------------------------------------------------