%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP689-1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:26:54 PM UTC 2026
% Result : Unsatisfiable 26.72s 17.89s
% Output : CNFRefutation 26.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 11
% Syntax : Number of clauses : 309 ( 309 unt; 0 nHn; 191 RR)
% Number of literals : 309 ( 308 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 241 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c08,axiom,
mult(i(X1),mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',c11) ).
cnf(c05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
cnf(c09,axiom,
i(mult(X1,X2)) = mult(i(X1),i(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
cnf(c01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
cnf(c10,axiom,
mult(op_c,mult(op_c,mult(op_c,op_c))) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
cnf(c04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
cnf(c07,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
cnf(c06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
cnf(c03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
cnf(goals,negated_conjecture,
mult(op_c,op_d) != mult(op_d,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c_0_11,axiom,
mult(i(X1),mult(X1,X2)) = X2,
c08 ).
cnf(c_0_12,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_13,axiom,
mult(X1,unit) = X1,
c05 ).
cnf(c_0_14,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_11,c_0_12]),c_0_13]) ).
cnf(c_0_15,axiom,
i(mult(X1,X2)) = mult(i(X1),i(X2)),
c09 ).
cnf(c_0_16,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_11,c_0_14]),c_0_15]) ).
cnf(c_0_17,plain,
mult(i(X1),X1) = unit,
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_18,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_11,c_0_16]),c_0_15]) ).
cnf(c_0_19,axiom,
mult(X1,ld(X1,X2)) = X2,
c01 ).
cnf(c_0_20,plain,
i(i(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_17]),c_0_13]) ).
cnf(c_0_21,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_11,c_0_18]),c_0_15]) ).
cnf(c_0_22,plain,
ld(X1,X2) = mult(i(X1),X2),
inference(spm,[status(thm)],[c_0_11,c_0_19]) ).
cnf(c_0_23,axiom,
mult(op_c,mult(op_c,mult(op_c,op_c))) = unit,
c10 ).
cnf(c_0_24,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_20,c_0_21]) ).
cnf(c_0_25,axiom,
rd(mult(X1,X2),X2) = X1,
c04 ).
cnf(c_0_26,plain,
mult(X1,mult(i(X1),X2)) = X2,
inference(rw,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_27,plain,
i(op_c) = mult(op_c,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_23]),c_0_13]) ).
cnf(c_0_28,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
c07 ).
cnf(c_0_29,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_17,c_0_24]) ).
cnf(c_0_30,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_31,plain,
rd(X1,mult(X2,X1)) = i(X2),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_32,axiom,
mult(rd(X1,X2),X2) = X1,
c03 ).
cnf(c_0_33,plain,
mult(X1,i(mult(X1,X2))) = i(X2),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
cnf(c_0_34,plain,
i(mult(op_c,mult(op_c,op_c))) = op_c,
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
cnf(c_0_35,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_28,c_0_29]),c_0_30]) ).
cnf(c_0_36,plain,
mult(X1,i(X1)) = unit,
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_37,plain,
rd(i(mult(X1,X2)),i(X2)) = i(X1),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_38,plain,
i(rd(X1,X2)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_30]),c_0_30]) ).
cnf(c_0_40,plain,
i(mult(op_c,op_c)) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
mult(i(mult(X1,mult(X2,X1))),mult(X1,mult(X2,mult(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_11,c_0_28]) ).
cnf(c_0_42,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_35,c_0_36]),c_0_13]),c_0_21]) ).
cnf(c_0_43,plain,
rd(i(X1),i(X2)) = rd(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_32]),c_0_38]) ).
cnf(c_0_44,plain,
rd(mult(X1,mult(X1,X2)),X2) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_25,c_0_39]) ).
cnf(c_0_45,plain,
i(mult(X1,mult(op_c,op_c))) = mult(i(X1),mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_15,c_0_40]) ).
cnf(c_0_46,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_41,c_0_35]),c_0_42]),c_0_18]),c_0_20]),c_0_28]) ).
cnf(c_0_47,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_28,c_0_28]),c_0_28]) ).
cnf(c_0_48,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_49,plain,
rd(X1,i(X2)) = rd(X2,i(X1)),
inference(spm,[status(thm)],[c_0_43,c_0_20]) ).
cnf(c_0_50,plain,
rd(X1,i(X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_36]),c_0_13]) ).
cnf(c_0_51,plain,
i(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,mult(op_d,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_21]),c_0_47]) ).
cnf(c_0_52,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_48,c_0_36]),c_0_13]),c_0_49]) ).
cnf(c_0_53,plain,
rd(i(X1),X2) = rd(i(X2),X1),
inference(spm,[status(thm)],[c_0_43,c_0_20]) ).
cnf(c_0_54,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,mult(op_c,op_c)))))) = i(op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_31]) ).
cnf(c_0_55,plain,
rd(i(X1),mult(X1,X2)) = i(mult(X1,mult(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_52]),c_0_53]) ).
cnf(c_0_56,plain,
i(mult(op_d,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(spm,[status(thm)],[c_0_25,c_0_54]),c_0_55]) ).
cnf(c_0_57,plain,
mult(op_d,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_d,mult(op_c,op_c)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_56]),c_0_51]) ).
cnf(c_0_58,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(spm,[status(thm)],[c_0_11,c_0_57]),c_0_11]) ).
cnf(c_0_59,plain,
rd(X1,mult(X2,mult(X2,X1))) = i(mult(X2,X2)),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
cnf(c_0_60,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,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_52,c_0_58]),c_0_51]),c_0_59]) ).
cnf(c_0_61,plain,
mult(mult(X1,X2),mult(i(X1),mult(mult(X1,X2),X3))) = mult(mult(mult(X1,X2),X2),X3),
inference(spm,[status(thm)],[c_0_28,c_0_11]) ).
cnf(c_0_62,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(spm,[status(thm)],[c_0_33,c_0_60]),c_0_20]),c_0_51]) ).
cnf(c_0_63,plain,
mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_28,c_0_32]) ).
cnf(c_0_64,plain,
mult(mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_c,op_c)))),mult(op_d,op_d)) = i(mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_11]),c_0_60]) ).
cnf(c_0_65,plain,
rd(i(X1),X1) = i(mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_17]),c_0_13]),c_0_15]) ).
cnf(c_0_66,plain,
mult(mult(X1,X2),i(X1)) = mult(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_36]),c_0_13]) ).
cnf(c_0_67,plain,
mult(mult(op_d,mult(op_d,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_d,op_d)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_64]),c_0_65]),c_0_39]),c_0_21]) ).
cnf(c_0_68,plain,
mult(op_d,rd(mult(op_d,mult(op_d,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_47]),c_0_33]),c_0_33]),c_0_45]),c_0_26]),c_0_31]),c_0_66]) ).
cnf(c_0_69,plain,
mult(op_d,mult(mult(op_d,mult(op_c,op_c)),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_52,c_0_68]),c_0_52]),c_0_32]) ).
cnf(c_0_70,plain,
mult(mult(op_d,mult(op_c,op_c)),op_d) = mult(op_d,mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_69]),c_0_11]) ).
cnf(c_0_71,plain,
mult(rd(X1,X2),rd(X2,X1)) = unit,
inference(spm,[status(thm)],[c_0_17,c_0_38]) ).
cnf(c_0_72,plain,
rd(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))) = mult(i(op_d),mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_70]),c_0_45]) ).
cnf(c_0_73,plain,
rd(mult(op_d,mult(op_d,mult(op_c,op_c))),op_d) = mult(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_68]),c_0_11]) ).
cnf(c_0_74,plain,
mult(mult(i(op_d),mult(op_c,op_c)),mult(op_d,mult(op_c,op_c))) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_75,plain,
i(mult(i(X1),X2)) = mult(X1,i(X2)),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_76,plain,
rd(mult(X1,X2),mult(i(X1),X2)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_44,c_0_26]) ).
cnf(c_0_77,plain,
mult(mult(i(op_d),mult(op_c,op_c)),mult(op_d,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_66,c_0_74]),c_0_75]),c_0_40]),c_0_30]),c_0_76]) ).
cnf(c_0_78,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_c,op_c))) = mult(op_d,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_77]),c_0_75]),c_0_40]) ).
cnf(c_0_79,plain,
mult(mult(mult(op_d,mult(op_c,op_c)),mult(op_c,op_c)),op_d) = mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_70]),c_0_11]) ).
cnf(c_0_80,plain,
rd(mult(mult(op_d,mult(op_c,op_c)),mult(op_d,op_d)),mult(op_d,mult(op_c,op_c))) = mult(op_d,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_78]),c_0_78]) ).
cnf(c_0_81,plain,
mult(mult(mult(op_d,mult(op_c,op_c)),mult(op_c,op_c)),op_d) = mult(op_d,op_d),
inference(rw,[status(thm)],[c_0_79,c_0_78]) ).
cnf(c_0_82,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)],[inference(spm,[status(thm)],[c_0_32,c_0_80]),c_0_39]) ).
cnf(c_0_83,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_c,op_c)) = op_d,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_81]),c_0_25]) ).
cnf(c_0_84,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,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_82]),c_0_11]),c_0_83]) ).
cnf(c_0_85,plain,
i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1)))))) = mult(op_d,mult(op_d,mult(op_d,mult(op_d,i(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_24]),c_0_47]),c_0_46]) ).
cnf(c_0_86,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_d))),mult(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_84]),c_0_70]) ).
cnf(c_0_87,plain,
mult(op_d,rd(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_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_41,c_0_60]),c_0_58]),c_0_85]),c_0_40]),c_0_33]),c_0_66]) ).
cnf(c_0_88,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),mult(op_d,mult(op_c,op_c))) = mult(op_d,mult(op_d,mult(op_d,op_d))),
inference(spm,[status(thm)],[c_0_32,c_0_86]) ).
cnf(c_0_89,plain,
mult(i(X1),mult(i(X2),mult(i(X1),X3))) = mult(i(mult(X1,mult(X2,X1))),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_15]),c_0_15]) ).
cnf(c_0_90,plain,
mult(op_d,mult(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(spm,[status(thm)],[c_0_52,c_0_87]),c_0_52]),c_0_32]) ).
cnf(c_0_91,plain,
i(mult(X1,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d)))))) = mult(i(X1),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_92,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_88]),c_0_58]),c_0_85]),c_0_40]) ).
cnf(c_0_93,plain,
mult(i(mult(X1,mult(X2,X1))),X1) = i(mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_36]),c_0_13]),c_0_15]),c_0_20]) ).
cnf(c_0_94,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),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_11,c_0_90]),c_0_11]) ).
cnf(c_0_95,plain,
mult(mult(op_d,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,op_d)))) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_40]),c_0_51]) ).
cnf(c_0_96,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))))),op_d) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_51]) ).
cnf(c_0_97,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_d,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(spm,[status(thm)],[c_0_41,c_0_95]),c_0_96]),c_0_33]),c_0_20]) ).
cnf(c_0_98,plain,
mult(mult(i(op_d),mult(op_c,op_c)),mult(op_c,op_c)) = i(op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_83]),c_0_45]) ).
cnf(c_0_99,plain,
i(mult(op_c,mult(op_c,X1))) = mult(op_c,mult(op_c,i(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_40]),c_0_39]),c_0_39]) ).
cnf(c_0_100,plain,
mult(op_d,rd(mult(op_d,mult(op_c,op_c)),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_66,c_0_97]),c_0_28]),c_0_33]),c_0_45]),c_0_26]),c_0_31]),c_0_66]) ).
cnf(c_0_101,plain,
mult(X1,mult(i(mult(X1,X2)),X1)) = rd(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_17]),c_0_13]) ).
cnf(c_0_102,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_98]),c_0_39]),c_0_99]),c_0_20]),c_0_39]),c_0_99]),c_0_75]),c_0_40]) ).
cnf(c_0_103,plain,
mult(op_c,mult(op_c,mult(op_c,mult(op_c,X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_27]),c_0_28]) ).
cnf(c_0_104,plain,
rd(mult(op_d,mult(op_c,op_c)),op_d) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_100]),c_0_11]) ).
cnf(c_0_105,plain,
rd(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_99]),c_0_45]),c_0_47]),c_0_103]),c_0_17]),c_0_13]),c_0_102]) ).
cnf(c_0_106,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_32,c_0_104]),c_0_39]) ).
cnf(c_0_107,plain,
mult(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_48,c_0_32]) ).
cnf(c_0_108,plain,
rd(mult(i(X1),X2),mult(X1,X2)) = i(mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_11]),c_0_15]) ).
cnf(c_0_109,plain,
mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c)))) = op_d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106]),c_0_25]) ).
cnf(c_0_110,plain,
rd(i(X1),op_c) = rd(mult(op_c,mult(op_c,op_c)),X1),
inference(spm,[status(thm)],[c_0_43,c_0_34]) ).
cnf(c_0_111,plain,
mult(i(mult(op_d,mult(op_d,mult(op_c,op_c)))),mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))) = op_d,
inference(spm,[status(thm)],[c_0_11,c_0_94]) ).
cnf(c_0_112,plain,
rd(mult(X1,X2),i(mult(X1,X3))) = mult(X1,mult(rd(X2,i(X3)),X1)),
inference(spm,[status(thm)],[c_0_107,c_0_33]) ).
cnf(c_0_113,plain,
mult(i(mult(X1,X1)),mult(X1,X2)) = mult(i(X1),X2),
inference(spm,[status(thm)],[c_0_32,c_0_108]) ).
cnf(c_0_114,plain,
mult(op_c,mult(op_c,mult(op_d,mult(op_c,mult(op_c,X1))))) = mult(op_d,X1),
inference(spm,[status(thm)],[c_0_47,c_0_109]) ).
cnf(c_0_115,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(spm,[status(thm)],[c_0_66,c_0_109]),c_0_27]),c_0_48]) ).
cnf(c_0_116,plain,
rd(X1,mult(op_c,mult(op_c,op_c))) = rd(op_c,i(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_110]),c_0_38]) ).
cnf(c_0_117,plain,
rd(op_c,i(X1)) = mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,X1))),op_c)),
inference(spm,[status(thm)],[c_0_52,c_0_103]) ).
cnf(c_0_118,plain,
mult(rd(mult(op_d,mult(op_c,op_c)),op_d),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(spm,[status(thm)],[c_0_41,c_0_111]),c_0_101]),c_0_38]) ).
cnf(c_0_119,plain,
mult(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(X2,mult(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_112]),c_0_50]),c_0_39]) ).
cnf(c_0_120,plain,
mult(op_c,mult(op_c,mult(op_d,X1))) = mult(op_d,mult(op_c,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(spm,[status(thm)],[c_0_113,c_0_114]),c_0_40]),c_0_39]),c_0_27]),c_0_28]),c_0_103]) ).
cnf(c_0_121,plain,
rd(mult(op_d,op_c),mult(op_d,mult(op_c,mult(op_c,op_c)))) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_115]),c_0_40]) ).
cnf(c_0_122,plain,
rd(X1,mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(mult(op_c,mult(op_c,mult(op_c,X1))),op_c)),
inference(rw,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_123,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)],[c_0_118,c_0_104]),c_0_39]) ).
cnf(c_0_124,plain,
rd(op_d,mult(op_d,mult(op_c,op_c))) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_104]),c_0_40]) ).
cnf(c_0_125,plain,
mult(op_c,mult(mult(op_c,op_d),mult(mult(op_c,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(spm,[status(thm)],[c_0_119,c_0_106]),c_0_119]),c_0_39]),c_0_106]),c_0_39]),c_0_120]),c_0_23]),c_0_13]) ).
cnf(c_0_126,plain,
rd(mult(op_c,op_c),op_d) = mult(i(op_d),mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_83]),c_0_45]) ).
cnf(c_0_127,plain,
mult(i(op_d),mult(op_c,op_c)) = mult(op_c,mult(op_c,i(op_d))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_106]),c_0_45]) ).
cnf(c_0_128,plain,
mult(op_c,mult(mult(op_c,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,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_121]),c_0_39]),c_0_106]),c_0_122]) ).
cnf(c_0_129,plain,
mult(op_c,mult(op_c,mult(op_d,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(spm,[status(thm)],[c_0_41,c_0_123]),c_0_99]),c_0_27]),c_0_23]),c_0_13]) ).
cnf(c_0_130,plain,
rd(mult(op_d,op_d),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(spm,[status(thm)],[c_0_107,c_0_124]),c_0_39]),c_0_106]) ).
cnf(c_0_131,plain,
i(mult(rd(X1,X2),X3)) = mult(rd(X2,X1),i(X3)),
inference(spm,[status(thm)],[c_0_15,c_0_38]) ).
cnf(c_0_132,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_125]),c_0_27]),c_0_28]),c_0_120]),c_0_106]) ).
cnf(c_0_133,plain,
mult(i(X1),rd(mult(X1,X2),X3)) = mult(rd(X2,mult(X1,X3)),X1),
inference(spm,[status(thm)],[c_0_11,c_0_107]) ).
cnf(c_0_134,plain,
rd(mult(op_c,op_c),op_d) = mult(op_c,mult(op_c,i(op_d))),
inference(rw,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_135,plain,
mult(op_c,mult(op_c,mult(op_c,i(X1)))) = i(mult(op_c,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_27]),c_0_28]) ).
cnf(c_0_136,plain,
mult(mult(op_c,mult(op_c,mult(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_128]),c_0_27]),c_0_28]),c_0_129]) ).
cnf(c_0_137,plain,
rd(mult(op_c,mult(op_d,op_d)),op_c) = mult(op_c,mult(mult(op_d,mult(op_d,mult(op_c,op_c))),op_c)),
inference(spm,[status(thm)],[c_0_107,c_0_130]) ).
cnf(c_0_138,plain,
mult(rd(mult(X1,X2),X3),i(X1)) = mult(X1,rd(X2,mult(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_107]),c_0_38]),c_0_131]) ).
cnf(c_0_139,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_25,c_0_132]) ).
cnf(c_0_140,plain,
mult(rd(op_c,mult(op_c,op_d)),op_c) = mult(op_c,i(op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_27]),c_0_28]),c_0_135]),c_0_33]) ).
cnf(c_0_141,plain,
i(mult(X1,i(X2))) = mult(i(X1),X2),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_142,plain,
mult(op_c,mult(mult(op_d,mult(op_d,mult(op_c,op_c))),op_c)) = mult(op_c,mult(op_c,mult(op_c,mult(op_d,mult(op_d,op_c))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_136]),c_0_137]) ).
cnf(c_0_143,plain,
mult(mult(X1,X2),mult(X1,rd(X2,X1))) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_50]),c_0_39]),c_0_66]),c_0_33]),c_0_50]) ).
cnf(c_0_144,plain,
rd(mult(op_c,op_d),op_c) = mult(op_c,mult(mult(op_d,mult(op_c,op_c)),op_c)),
inference(spm,[status(thm)],[c_0_48,c_0_83]) ).
cnf(c_0_145,plain,
mult(rd(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_c,mult(mult(op_c,op_d),op_c))),op_c) = op_d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_139]),c_0_27]),c_0_28]),c_0_103]) ).
cnf(c_0_146,plain,
mult(rd(op_c,mult(op_c,op_d)),mult(op_c,mult(op_d,mult(op_c,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_33,c_0_140]),c_0_141]),c_0_27]),c_0_28]),c_0_106]),c_0_27]) ).
cnf(c_0_147,plain,
mult(mult(op_d,mult(op_d,mult(op_c,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(spm,[status(thm)],[c_0_11,c_0_142]),c_0_27]),c_0_28]),c_0_103]) ).
cnf(c_0_148,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_c,mult(op_c,mult(mult(op_d,mult(op_c,op_c)),op_c)))) = mult(op_c,mult(mult(op_c,op_d),mult(op_c,op_d))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_106]) ).
cnf(c_0_149,plain,
mult(rd(mult(op_c,mult(mult(op_c,op_d),op_c)),mult(op_d,mult(op_d,mult(op_c,op_c)))),op_d) = op_c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_145]),c_0_38]) ).
cnf(c_0_150,plain,
mult(op_c,mult(op_c,mult(mult(op_c,op_d),mult(op_c,op_d)))) = mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_108,c_0_146]),c_0_38]),c_0_144]),c_0_28]),c_0_120]),c_0_23]),c_0_13]),c_0_70]),c_0_122]),c_0_120]),c_0_120]),c_0_23]),c_0_13]),c_0_120]),c_0_106]),c_0_147]),c_0_120]),c_0_120]),c_0_131]),c_0_144]),c_0_38]),c_0_144]),c_0_28]),c_0_148]) ).
cnf(c_0_151,plain,
mult(rd(X1,X2),i(X1)) = i(X2),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_152,plain,
rd(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,op_c),
inference(spm,[status(thm)],[c_0_107,c_0_149]) ).
cnf(c_0_153,plain,
mult(mult(op_c,op_d),mult(op_c,op_d)) = 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(spm,[status(thm)],[c_0_41,c_0_150]),c_0_99]),c_0_27]),c_0_23]),c_0_13]),c_0_120]),c_0_114]) ).
cnf(c_0_154,plain,
mult(rd(i(X1),X2),X1) = i(X2),
inference(spm,[status(thm)],[c_0_151,c_0_20]) ).
cnf(c_0_155,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_32,c_0_152]) ).
cnf(c_0_156,plain,
rd(mult(op_d,op_d),mult(op_d,mult(op_d,mult(op_c,op_c)))) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_123]),c_0_40]) ).
cnf(c_0_157,plain,
rd(mult(op_c,mult(op_d,mult(op_d,op_c))),mult(op_c,op_d)) = mult(op_c,op_d),
inference(spm,[status(thm)],[c_0_25,c_0_153]) ).
cnf(c_0_158,plain,
mult(X1,mult(rd(i(X1),X2),mult(X1,X3))) = mult(mult(X1,i(X2)),X3),
inference(spm,[status(thm)],[c_0_28,c_0_154]) ).
cnf(c_0_159,plain,
mult(i(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)),
inference(spm,[status(thm)],[c_0_11,c_0_155]) ).
cnf(c_0_160,plain,
i(mult(op_d,mult(op_d,mult(op_c,op_c)))) = mult(op_c,mult(op_c,i(mult(op_d,op_d)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_156]),c_0_39]) ).
cnf(c_0_161,plain,
mult(rd(mult(op_d,mult(op_d,op_c)),mult(op_d,mult(op_c,op_c))),op_c) = op_d,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_157]),c_0_27]),c_0_28]),c_0_103]),c_0_106]) ).
cnf(c_0_162,plain,
i(mult(X1,mult(X2,i(X3)))) = mult(i(X1),mult(i(X2),X3)),
inference(spm,[status(thm)],[c_0_15,c_0_141]) ).
cnf(c_0_163,plain,
mult(i(X1),mult(rd(X1,X2),X3)) = mult(i(mult(X1,X2)),mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_11]),c_0_20]),c_0_15]) ).
cnf(c_0_164,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_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_113,c_0_159]),c_0_15]),c_0_119]),c_0_106]),c_0_160]),c_0_99]),c_0_20]),c_0_120]),c_0_106]),c_0_97]),c_0_20]) ).
cnf(c_0_165,plain,
mult(i(mult(X1,mult(X2,X1))),mult(X1,X2)) = i(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_13]) ).
cnf(c_0_166,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),i(mult(op_d,op_d))) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_130]),c_0_40]) ).
cnf(c_0_167,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_c,op_c)) = mult(op_d,op_d),
inference(spm,[status(thm)],[c_0_32,c_0_130]) ).
cnf(c_0_168,plain,
mult(i(mult(X1,X2)),mult(X1,mult(X2,X2))) = mult(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_11,c_0_143]) ).
cnf(c_0_169,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_c,mult(op_c,op_c))) = mult(op_c,rd(mult(op_c,mult(op_d,op_d)),op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_123]),c_0_27]) ).
cnf(c_0_170,plain,
mult(rd(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_d,op_c))),op_d) = op_c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_161]),c_0_38]) ).
cnf(c_0_171,plain,
mult(mult(X1,X2),mult(i(X1),X3)) = mult(X1,mult(rd(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_75]),c_0_141]),c_0_20]),c_0_38]) ).
cnf(c_0_172,plain,
mult(i(mult(op_d,op_c)),mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c))),
inference(spm,[status(thm)],[c_0_11,c_0_164]) ).
cnf(c_0_173,plain,
i(mult(X1,mult(X1,mult(op_c,op_c)))) = mult(i(mult(X1,X1)),mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
cnf(c_0_174,plain,
mult(i(mult(op_d,op_d)),mult(op_c,op_c)) = mult(op_c,mult(op_c,i(mult(op_d,op_d)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_113]),c_0_11]),c_0_167]),c_0_160]) ).
cnf(c_0_175,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_48,c_0_168]),c_0_101]) ).
cnf(c_0_176,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(op_c,mult(mult(op_d,mult(op_d,mult(op_c,op_c))),op_c))),
inference(rw,[status(thm)],[c_0_169,c_0_137]) ).
cnf(c_0_177,plain,
rd(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_d,op_c)) = mult(op_d,op_c),
inference(spm,[status(thm)],[c_0_107,c_0_170]) ).
cnf(c_0_178,plain,
i(mult(X1,mult(op_c,mult(op_c,op_c)))) = mult(i(X1),op_c),
inference(spm,[status(thm)],[c_0_141,c_0_27]) ).
cnf(c_0_179,plain,
rd(mult(op_d,mult(op_c,mult(op_c,op_c))),mult(op_d,op_c)) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_44,c_0_115]) ).
cnf(c_0_180,plain,
mult(X1,mult(rd(X2,X1),mult(mult(X1,X2),X3))) = mult(mult(mult(X1,X2),X2),X3),
inference(rw,[status(thm)],[c_0_61,c_0_171]) ).
cnf(c_0_181,plain,
mult(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)))) = mult(mult(op_d,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(spm,[status(thm)],[c_0_113,c_0_172]),c_0_15]),c_0_119]),c_0_106]),c_0_173]),c_0_174]),c_0_99]),c_0_20]),c_0_120]),c_0_106]),c_0_20]) ).
cnf(c_0_182,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_107,c_0_175]),c_0_32]) ).
cnf(c_0_183,plain,
rd(rd(X1,X2),i(X3)) = rd(X3,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_43,c_0_38]) ).
cnf(c_0_184,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(i(X2),mult(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_11,c_0_63]) ).
cnf(c_0_185,plain,
mult(mult(op_d,mult(op_d,mult(op_c,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)],[c_0_176,c_0_142]),c_0_103]) ).
cnf(c_0_186,plain,
mult(mult(op_d,op_c),mult(op_d,op_c)) = mult(op_d,mult(op_d,mult(op_c,op_c))),
inference(spm,[status(thm)],[c_0_32,c_0_177]) ).
cnf(c_0_187,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_188,plain,
rd(op_c,mult(op_c,mult(op_d,op_c))) = mult(op_c,mult(mult(i(op_d),op_c),op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_115]),c_0_178]) ).
cnf(c_0_189,plain,
rd(mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c)))),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_107,c_0_179]),c_0_39]),c_0_106]) ).
cnf(c_0_190,plain,
mult(op_d,mult(op_c,mult(op_c,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,mult(op_c,mult(mult(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_180,c_0_181]),c_0_104]),c_0_39]),c_0_97]),c_0_28]) ).
cnf(c_0_191,plain,
mult(X1,mult(X2,mult(X2,rd(X1,X2)))) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_182]) ).
cnf(c_0_192,plain,
mult(i(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_52,c_0_32]),c_0_183]),c_0_184]) ).
cnf(c_0_193,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_d,op_c)) = 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(spm,[status(thm)],[c_0_61,c_0_185]),c_0_11]),c_0_97]),c_0_28]) ).
cnf(c_0_194,plain,
rd(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_c,op_c)))) = i(mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_38,c_0_177]) ).
cnf(c_0_195,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),i(mult(op_d,op_c))) = mult(op_d,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_186]),c_0_187]),c_0_13]) ).
cnf(c_0_196,plain,
mult(op_c,mult(mult(i(op_d),op_c),mult(op_d,mult(op_c,mult(op_c,op_c))))) = op_c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_188]),c_0_28]),c_0_115]) ).
cnf(c_0_197,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(spm,[status(thm)],[c_0_32,c_0_189]),c_0_147]) ).
cnf(c_0_198,plain,
mult(op_c,mult(op_c,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_c,mult(mult(op_c,op_d),op_c))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_190]),c_0_11]) ).
cnf(c_0_199,plain,
mult(op_d,mult(op_d,mult(op_c,mult(op_c,rd(op_c,op_d))))) = mult(op_c,mult(mult(op_c,op_d),op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_191]),c_0_120]) ).
cnf(c_0_200,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_28,c_0_28]),c_0_28]),c_0_28]) ).
cnf(c_0_201,plain,
mult(X1,rd(X2,rd(X1,X2))) = mult(mult(X1,X2),rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_192]),c_0_20]) ).
cnf(c_0_202,plain,
mult(mult(op_d,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,op_c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_186]),c_0_187]),c_0_13]),c_0_193]),c_0_186]) ).
cnf(c_0_203,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_194]),c_0_193]),c_0_195]),c_0_119]),c_0_106]),c_0_119]),c_0_70]),c_0_84]) ).
cnf(c_0_204,plain,
mult(mult(mult(X1,X2),X2),i(X1)) = mult(mult(X1,X2),rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_66]),c_0_11]) ).
cnf(c_0_205,plain,
mult(mult(i(op_d),op_c),mult(op_d,mult(op_c,mult(op_c,op_c)))) = unit,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_196]),c_0_27]),c_0_28]),c_0_23]) ).
cnf(c_0_206,plain,
rd(mult(X1,X2),mult(i(X1),X3)) = mult(X1,mult(rd(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_107,c_0_26]) ).
cnf(c_0_207,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),op_c) = mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c)))),
inference(rw,[status(thm)],[c_0_147,c_0_197]) ).
cnf(c_0_208,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),
inference(spm,[status(thm)],[c_0_33,c_0_51]) ).
cnf(c_0_209,plain,
mult(i(X1),mult(op_c,mult(op_c,op_c))) = i(mult(X1,op_c)),
inference(spm,[status(thm)],[c_0_15,c_0_27]) ).
cnf(c_0_210,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,mult(op_c,mult(mult(op_c,op_d),op_c))))))) = mult(mult(op_d,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(spm,[status(thm)],[c_0_113,c_0_198]),c_0_40]),c_0_39]),c_0_120]),c_0_120]),c_0_120]),c_0_27]),c_0_28]),c_0_103]) ).
cnf(c_0_211,plain,
mult(op_c,mult(op_c,mult(op_c,mult(mult(op_c,op_d),op_c)))) = mult(op_d,mult(op_d,rd(op_c,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_199]),c_0_120]),c_0_103]) ).
cnf(c_0_212,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_25,c_0_200]) ).
cnf(c_0_213,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,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_201,c_0_194]),c_0_112]),c_0_27]),c_0_122]),c_0_120]),c_0_23]),c_0_13]),c_0_28]),c_0_119]),c_0_120]),c_0_120]),c_0_202]),c_0_177]),c_0_203]) ).
cnf(c_0_214,plain,
i(mult(X1,rd(X2,X3))) = mult(i(X1),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_38]) ).
cnf(c_0_215,plain,
mult(i(X1),mult(i(X1),X2)) = mult(i(mult(X1,X1)),X2),
inference(spm,[status(thm)],[c_0_39,c_0_15]) ).
cnf(c_0_216,plain,
mult(mult(op_d,mult(op_c,mult(op_c,op_c))),mult(op_d,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_30]),c_0_75]),c_0_27]),c_0_206]),c_0_44]),c_0_39]),c_0_106]),c_0_30]) ).
cnf(c_0_217,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_d,mult(op_c,mult(op_c,op_c)))) = mult(op_d,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_61,c_0_207]),c_0_11]),c_0_97]),c_0_28]) ).
cnf(c_0_218,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_62]),c_0_39]),c_0_208]),c_0_33]),c_0_20]),c_0_39]),c_0_85]),c_0_40]) ).
cnf(c_0_219,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))))) = i(mult(mult(op_d,mult(op_d,mult(op_d,op_d))),op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_21]),c_0_47]) ).
cnf(c_0_220,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,rd(op_c,op_d)))))) = mult(mult(op_d,op_c),mult(op_d,mult(op_d,op_d))),
inference(rw,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_221,plain,
mult(op_d,mult(op_d,mult(op_d,mult(mult(op_d,op_c),mult(op_d,mult(op_d,op_d)))))) = rd(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_212,c_0_213]),c_0_18]),c_0_33]),c_0_122]),c_0_135]),c_0_101]) ).
cnf(c_0_222,plain,
i(mult(X1,mult(X1,rd(X2,X3)))) = mult(i(mult(X1,X1)),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_214,c_0_39]) ).
cnf(c_0_223,plain,
mult(X1,mult(i(mult(X1,X1)),X2)) = mult(i(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_215]),c_0_20]) ).
cnf(c_0_224,plain,
mult(i(X1),rd(X1,X2)) = mult(i(mult(X1,X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_66]),c_0_214]) ).
cnf(c_0_225,plain,
rd(mult(op_d,mult(op_c,mult(op_c,X1))),mult(op_d,X1)) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_44,c_0_120]) ).
cnf(c_0_226,plain,
mult(mult(op_d,mult(op_c,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,op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_216]),c_0_187]),c_0_13]),c_0_217]),c_0_216]) ).
cnf(c_0_227,plain,
mult(mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_d,mult(op_c,op_c))),op_d) = mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_94]),c_0_11]) ).
cnf(c_0_228,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_c,mult(op_c,mult(mult(op_d,mult(op_c,op_c)),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)],[c_0_148,c_0_153]),c_0_120]),c_0_120]) ).
cnf(c_0_229,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_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(spm,[status(thm)],[c_0_119,c_0_185]),c_0_119]),c_0_28]),c_0_120]),c_0_120]),c_0_23]),c_0_13]),c_0_28]),c_0_120]),c_0_106]),c_0_120]),c_0_120]),c_0_23]),c_0_13]),c_0_218]) ).
cnf(c_0_230,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c))))),
inference(rw,[status(thm)],[c_0_219,c_0_46]) ).
cnf(c_0_231,plain,
mult(i(mult(X1,X2)),mult(X1,mult(i(mult(X1,X2)),X3))) = mult(i(mult(mult(X1,X2),X2)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_33]),c_0_15]) ).
cnf(c_0_232,plain,
rd(mult(op_d,op_d),op_c) = 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_85,c_0_220]),c_0_221]),c_0_38]),c_0_33]),c_0_222]),c_0_223]),c_0_224]),c_0_101]) ).
cnf(c_0_233,plain,
rd(mult(mult(op_d,op_c),op_d),mult(op_d,rd(op_d,op_c))) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_225,c_0_191]) ).
cnf(c_0_234,plain,
mult(mult(i(op_d),op_c),mult(op_d,mult(op_d,mult(op_d,op_c)))) = mult(op_d,mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_226]),c_0_178]) ).
cnf(c_0_235,plain,
i(mult(mult(i(X1),X2),X3)) = mult(mult(X1,i(X2)),i(X3)),
inference(spm,[status(thm)],[c_0_15,c_0_75]) ).
cnf(c_0_236,plain,
mult(mult(op_d,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,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_97]),c_0_28]) ).
cnf(c_0_237,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_d,mult(op_c,mult(op_c,op_c)))) = mult(op_d,mult(op_c,mult(op_c,mult(mult(op_d,mult(op_c,op_c)),op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_228]),c_0_11]),c_0_83]) ).
cnf(c_0_238,plain,
rd(mult(op_d,mult(op_d,op_d)),mult(op_c,op_c)) = mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_78]),c_0_70]) ).
cnf(c_0_239,plain,
mult(mult(op_d,op_c),mult(mult(op_d,op_c),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_11,c_0_229]),c_0_11]) ).
cnf(c_0_240,plain,
i(mult(op_d,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_d,op_c))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_230]),c_0_20]) ).
cnf(c_0_241,plain,
mult(i(mult(X1,X2)),rd(X1,X2)) = mult(i(mult(mult(X1,X2),X2)),X1),
inference(spm,[status(thm)],[c_0_231,c_0_101]) ).
cnf(c_0_242,plain,
mult(mult(op_d,rd(op_d,op_c)),op_c) = mult(op_d,op_d),
inference(spm,[status(thm)],[c_0_32,c_0_232]) ).
cnf(c_0_243,plain,
rd(mult(op_d,X1),mult(op_d,mult(op_c,mult(op_c,X1)))) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_120]),c_0_40]) ).
cnf(c_0_244,plain,
mult(op_d,mult(op_c,mult(op_c,mult(i(op_d),X1)))) = mult(op_c,mult(op_c,X1)),
inference(spm,[status(thm)],[c_0_120,c_0_26]) ).
cnf(c_0_245,plain,
mult(i(op_d),rd(op_c,op_d)) = mult(op_c,mult(op_c,i(mult(mult(op_d,op_c),op_d)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_233]),c_0_39]),c_0_214]) ).
cnf(c_0_246,plain,
mult(mult(op_d,mult(op_c,mult(op_c,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(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_113,c_0_234]),c_0_235]),c_0_27]),c_0_75]),c_0_27]),c_0_216]),c_0_236]),c_0_75]),c_0_27]) ).
cnf(c_0_247,plain,
mult(op_c,mult(mult(op_c,mult(op_d,mult(op_d,mult(mult(op_d,mult(op_c,op_c)),op_c)))),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(spm,[status(thm)],[c_0_48,c_0_237]),c_0_122]),c_0_120]),c_0_120]),c_0_103]),c_0_70]) ).
cnf(c_0_248,plain,
mult(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(spm,[status(thm)],[c_0_32,c_0_238]) ).
cnf(c_0_249,plain,
mult(i(mult(X1,mult(X1,X1))),mult(X1,X2)) = mult(i(mult(X1,X1)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_113]),c_0_26]),c_0_39]) ).
cnf(c_0_250,plain,
mult(i(mult(op_d,op_c)),mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))) = mult(mult(op_d,op_c),op_d),
inference(spm,[status(thm)],[c_0_11,c_0_239]) ).
cnf(c_0_251,plain,
mult(i(X1),mult(op_c,mult(op_c,i(X2)))) = i(mult(X1,mult(op_c,mult(op_c,X2)))),
inference(spm,[status(thm)],[c_0_15,c_0_99]) ).
cnf(c_0_252,plain,
i(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_d,mult(op_d,op_c)))))),
inference(spm,[status(thm)],[c_0_33,c_0_240]) ).
cnf(c_0_253,plain,
mult(mult(op_d,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,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(spm,[status(thm)],[c_0_241,c_0_67]),c_0_24]),c_0_25]),c_0_46]),c_0_47]),c_0_208]),c_0_33]),c_0_20]) ).
cnf(c_0_254,plain,
mult(rd(X1,X2),mult(i(mult(X1,X2)),X1)) = rd(rd(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_151]),c_0_20]),c_0_224]) ).
cnf(c_0_255,plain,
mult(mult(op_d,rd(op_d,op_c)),mult(mult(op_d,op_c),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_119,c_0_242]),c_0_39]),c_0_120]),c_0_191]) ).
cnf(c_0_256,plain,
rd(mult(op_d,rd(op_d,op_c)),mult(mult(op_d,op_c),op_d)) = mult(op_c,op_c),
inference(spm,[status(thm)],[c_0_243,c_0_191]) ).
cnf(c_0_257,plain,
mult(op_c,mult(op_c,rd(op_c,op_d))) = mult(op_d,i(mult(mult(op_d,op_c),op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_135]),c_0_33]) ).
cnf(c_0_258,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),mult(op_d,op_d)) = i(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_93,c_0_82]),c_0_39]),c_0_85]),c_0_40]),c_0_39]) ).
cnf(c_0_259,plain,
mult(mult(op_d,mult(op_d,mult(op_c,op_c))),mult(op_d,mult(op_d,mult(op_d,op_d)))) = mult(op_d,mult(mult(op_d,mult(op_d,op_c)),mult(mult(op_d,mult(op_d,op_c)),op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_217]),c_0_119]),c_0_226]),c_0_246]) ).
cnf(c_0_260,plain,
i(mult(X1,mult(X2,mult(X1,mult(op_c,op_c))))) = mult(i(mult(X1,mult(X2,X1))),mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_45,c_0_28]) ).
cnf(c_0_261,plain,
mult(mult(op_c,mult(op_d,mult(op_d,mult(mult(op_d,mult(op_c,op_c)),op_c)))),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_247]),c_0_27]),c_0_28]),c_0_120]),c_0_120]),c_0_120]),c_0_23]),c_0_13]) ).
cnf(c_0_262,plain,
rd(mult(op_c,mult(op_d,mult(op_d,op_d))),op_c) = mult(op_c,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),op_c)),
inference(spm,[status(thm)],[c_0_48,c_0_248]) ).
cnf(c_0_263,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))),mult(mult(op_d,op_c),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_249,c_0_250]),c_0_15]),c_0_119]),c_0_106]),c_0_173]),c_0_174]),c_0_251]),c_0_120]),c_0_106]),c_0_202]),c_0_252]),c_0_85]),c_0_33]),c_0_27]),c_0_15]),c_0_119]),c_0_106]),c_0_173]),c_0_174]),c_0_99]),c_0_20]),c_0_120]),c_0_106]),c_0_253]) ).
cnf(c_0_264,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(mult(op_d,op_c),op_d)))))) = rd(mult(op_c,op_c),mult(mult(op_d,op_c),op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_21]),c_0_47]),c_0_39]),c_0_120]),c_0_120]),c_0_120]),c_0_120]),c_0_120]),c_0_120]),c_0_191]),c_0_256]) ).
cnf(c_0_265,plain,
mult(op_d,mult(op_d,mult(op_d,i(mult(mult(op_d,op_c),op_d))))) = mult(op_c,mult(mult(op_c,op_d),op_c)),
inference(rw,[status(thm)],[c_0_199,c_0_257]) ).
cnf(c_0_266,plain,
mult(op_d,mult(mult(op_d,mult(op_d,op_c)),mult(mult(op_d,mult(op_d,op_c)),op_d))) = mult(i(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_143,c_0_156]),c_0_218]),c_0_167]),c_0_258]),c_0_39]),c_0_259]),c_0_260]) ).
cnf(c_0_267,plain,
mult(i(X1),mult(i(X2),mult(op_c,op_c))) = i(mult(X1,mult(X2,mult(op_c,op_c)))),
inference(spm,[status(thm)],[c_0_15,c_0_45]) ).
cnf(c_0_268,plain,
mult(op_c,mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),op_c)) = mult(op_c,mult(op_d,mult(op_d,mult(mult(op_d,mult(op_c,op_c)),op_c)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_261]),c_0_262]) ).
cnf(c_0_269,plain,
mult(mult(op_d,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,op_d))))) = mult(mult(op_d,op_c),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_263]),c_0_252]) ).
cnf(c_0_270,plain,
rd(mult(mult(op_d,op_c),op_d),mult(op_c,op_c)) = mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_264]),c_0_38]),c_0_265]) ).
cnf(c_0_271,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1))))))) = mult(i(mult(op_d,op_d)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_18]),c_0_33]) ).
cnf(c_0_272,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_28,c_0_39]),c_0_39]) ).
cnf(c_0_273,plain,
mult(i(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_11,c_0_200]) ).
cnf(c_0_274,plain,
mult(op_c,mult(mult(op_c,mult(op_d,mult(op_c,op_c))),mult(op_c,mult(op_d,mult(op_c,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_143,c_0_109]),c_0_48]),c_0_115]) ).
cnf(c_0_275,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_185]),c_0_99]),c_0_27]),c_0_23]),c_0_13]) ).
cnf(c_0_276,plain,
mult(mult(op_d,mult(op_d,op_c)),mult(mult(op_d,mult(op_d,op_c)),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(spm,[status(thm)],[c_0_11,c_0_266]),c_0_267]),c_0_28]),c_0_51]) ).
cnf(c_0_277,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c)))),op_c) = mult(op_d,mult(op_d,mult(mult(op_d,mult(op_c,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_11,c_0_268]),c_0_27]),c_0_28]),c_0_120]),c_0_120]),c_0_120]),c_0_120]),c_0_103]) ).
cnf(c_0_278,plain,
mult(mult(mult(X1,X2),X2),mult(X1,X2)) = mult(mult(X1,X2),mult(X2,mult(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_119]),c_0_184]),c_0_26]) ).
cnf(c_0_279,plain,
mult(mult(op_d,mult(op_c,mult(mult(op_c,op_d),op_c))),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(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_165,c_0_269]),c_0_47]),c_0_264]),c_0_38]),c_0_270]),c_0_47]),c_0_271]),c_0_223]),c_0_26]),c_0_24]) ).
cnf(c_0_280,plain,
mult(mult(op_d,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,op_d)))) = mult(op_d,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_203]),c_0_252]) ).
cnf(c_0_281,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_39,c_0_119]),c_0_272]) ).
cnf(c_0_282,plain,
mult(op_d,rd(op_c,mult(op_d,op_d))) = rd(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_273,c_0_220]),c_0_18]),c_0_33]),c_0_20]),c_0_39]),c_0_221]) ).
cnf(c_0_283,plain,
mult(mult(op_c,mult(op_d,mult(op_c,op_c))),mult(op_c,mult(op_d,mult(op_c,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(spm,[status(thm)],[c_0_11,c_0_274]),c_0_27]),c_0_28]),c_0_120]),c_0_114]) ).
cnf(c_0_284,plain,
mult(op_d,mult(op_d,mult(mult(op_d,mult(op_c,op_c)),op_c))) = 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(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_249,c_0_275]),c_0_119]),c_0_70]),c_0_84]),c_0_259]),c_0_276]),c_0_208]),c_0_260]),c_0_75]),c_0_40]),c_0_28]),c_0_277]),c_0_119]),c_0_70]),c_0_84]),c_0_21]),c_0_47]),c_0_33]),c_0_33]),c_0_27]) ).
cnf(c_0_285,plain,
mult(op_d,mult(op_d,rd(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_272]),c_0_280]),c_0_281]),c_0_281]),c_0_120]),c_0_120]),c_0_120]),c_0_211]),c_0_220]),c_0_272]),c_0_221]),c_0_282]) ).
cnf(c_0_286,plain,
mult(op_c,mult(mult(op_d,mult(op_c,op_c)),mult(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)],[c_0_283,c_0_119]) ).
cnf(c_0_287,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_c,mult(op_c,op_c))) = mult(op_c,mult(op_c,mult(mult(op_d,mult(op_c,op_c)),op_c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_106]),c_0_27]),c_0_144]) ).
cnf(c_0_288,plain,
mult(mult(op_d,mult(op_c,op_c)),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_113,c_0_284]),c_0_113]),c_0_11]),c_0_11]) ).
cnf(c_0_289,plain,
mult(op_c,mult(op_c,i(mult(mult(op_d,op_c),op_d)))) = rd(op_c,mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_232]),c_0_214]),c_0_245]) ).
cnf(c_0_290,plain,
mult(op_d,rd(op_c,op_d)) = op_c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_285]),c_0_11]) ).
cnf(c_0_291,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(mult(op_d,mult(op_c,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(spm,[status(thm)],[c_0_11,c_0_286]),c_0_27]),c_0_28]),c_0_103]) ).
cnf(c_0_292,plain,
mult(mult(op_c,mult(op_c,i(op_d))),mult(op_c,mult(op_c,mult(op_d,mult(op_c,op_c))))) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_102]),c_0_99]) ).
cnf(c_0_293,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_c,mult(op_c,op_c))) = mult(op_d,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_288]),c_0_114]) ).
cnf(c_0_294,plain,
mult(i(op_d),rd(op_c,op_d)) = rd(op_c,mult(op_d,op_d)),
inference(rw,[status(thm)],[c_0_245,c_0_289]) ).
cnf(c_0_295,plain,
rd(op_c,op_d) = mult(i(op_d),op_c),
inference(spm,[status(thm)],[c_0_11,c_0_290]) ).
cnf(c_0_296,plain,
mult(mult(op_c,mult(op_c,i(op_d))),mult(op_d,mult(op_d,op_c))) = mult(mult(op_d,mult(op_c,op_c)),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_291]),c_0_45]),c_0_127]) ).
cnf(c_0_297,plain,
mult(mult(op_c,mult(op_c,i(op_d))),op_d) = mult(op_c,op_c),
inference(rw,[status(thm)],[c_0_292,c_0_109]) ).
cnf(c_0_298,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(op_c,op_d)) = mult(op_d,mult(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_293]),c_0_112]),c_0_27]),c_0_31]),c_0_27]),c_0_28]),c_0_106]),c_0_28]),c_0_120]),c_0_23]),c_0_13]) ).
cnf(c_0_299,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_31,c_0_200]) ).
cnf(c_0_300,plain,
mult(mult(op_d,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,op_c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_213]),c_0_120]),c_0_120]),c_0_120]),c_0_114]) ).
cnf(c_0_301,plain,
rd(X1,mult(i(X1),X2)) = mult(X1,mult(i(X2),X1)),
inference(spm,[status(thm)],[c_0_52,c_0_141]) ).
cnf(c_0_302,plain,
rd(op_c,mult(op_d,op_d)) = mult(i(mult(op_d,op_d)),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_295]),c_0_215]) ).
cnf(c_0_303,plain,
mult(mult(op_c,mult(op_c,i(op_d))),mult(op_d,mult(mult(op_d,mult(op_c,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_41,c_0_296]),c_0_297]),c_0_45]),c_0_127]) ).
cnf(c_0_304,plain,
mult(mult(op_c,mult(op_c,i(op_d))),mult(op_d,mult(op_c,mult(op_d,mult(op_c,op_c))))) = mult(op_c,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_298]),c_0_45]),c_0_127]) ).
cnf(c_0_305,plain,
mult(op_d,mult(op_c,mult(op_d,mult(op_c,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_271]),c_0_223]),c_0_301]),c_0_27]),c_0_28]),c_0_106]),c_0_221]),c_0_302]),c_0_75]),c_0_27]),c_0_39]) ).
cnf(c_0_306,plain,
mult(mult(op_c,mult(op_c,i(op_d))),mult(op_d,mult(op_d,mult(op_c,mult(op_c,op_c))))) = mult(op_d,op_c),
inference(rw,[status(thm)],[c_0_303,c_0_288]) ).
cnf(c_0_307,negated_conjecture,
mult(op_c,op_d) != mult(op_d,op_c),
goals ).
cnf(c_0_308,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_305]),c_0_306]),c_0_307]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP689-1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 19:02:05 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 26.72/17.89 % Version : CSE_E---1.7
% 26.72/17.89 % Problem : theBenchmark.p
% 26.72/17.89 % SZS status Unsatisfiable for theBenchmark.p
% 26.72/17.89 % SZS output start CNFRefutation
% See solution above
% 26.83/17.97 % Total time : 14.394s
%------------------------------------------------------------------------------