TSTP Solution File: GRP689-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP689-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:23:05 EDT 2023
% Result : Unsatisfiable 2.43s 2.60s
% Output : CNFRefutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 17
% Syntax : Number of formulae : 227 ( 220 unt; 7 typ; 0 def)
% Number of atoms : 220 ( 219 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 195 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ld: ( $i * $i ) > $i ).
tff(decl_23,type,
mult: ( $i * $i ) > $i ).
tff(decl_24,type,
rd: ( $i * $i ) > $i ).
tff(decl_25,type,
unit: $i ).
tff(decl_26,type,
i: $i > $i ).
tff(decl_27,type,
op_c: $i ).
tff(decl_28,type,
op_d: $i ).
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(c10,axiom,
mult(op_c,mult(op_c,mult(op_c,op_c))) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
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(c04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
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_10,axiom,
mult(i(X1),mult(X1,X2)) = X2,
c08 ).
cnf(c_0_11,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_12,axiom,
mult(X1,unit) = X1,
c05 ).
cnf(c_0_13,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_10,c_0_11]),c_0_12]) ).
cnf(c_0_14,axiom,
i(mult(X1,X2)) = mult(i(X1),i(X2)),
c09 ).
cnf(c_0_15,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_10,c_0_13]),c_0_14]) ).
cnf(c_0_16,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_10,c_0_15]),c_0_14]) ).
cnf(c_0_17,plain,
mult(i(X1),X1) = unit,
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_18,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_10,c_0_16]),c_0_14]) ).
cnf(c_0_19,plain,
mult(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)))) = unit,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_19]),c_0_12]) ).
cnf(c_0_21,axiom,
mult(op_c,mult(op_c,mult(op_c,op_c))) = unit,
c10 ).
cnf(c_0_22,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
c07 ).
cnf(c_0_23,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_20]) ).
cnf(c_0_24,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_25,plain,
i(i(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_17]),c_0_12]) ).
cnf(c_0_26,plain,
mult(op_c,mult(op_c,op_c)) = i(op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_21]),c_0_12]) ).
cnf(c_0_27,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_22,c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
mult(X1,i(X1)) = unit,
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
cnf(c_0_29,plain,
i(mult(op_c,op_c)) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_26]),c_0_14]) ).
cnf(c_0_30,plain,
mult(i(mult(X1,mult(X2,X1))),mult(X1,mult(X2,mult(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_10,c_0_22]) ).
cnf(c_0_31,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_27,c_0_28]),c_0_12]),c_0_18]) ).
cnf(c_0_32,axiom,
rd(mult(X1,X2),X2) = X1,
c04 ).
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_22,c_0_24]),c_0_24]) ).
cnf(c_0_34,plain,
i(mult(X1,mult(op_c,op_c))) = mult(i(X1),mult(op_c,op_c)),
inference(spm,[status(thm)],[c_0_14,c_0_29]) ).
cnf(c_0_35,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_30,c_0_27]),c_0_31]),c_0_16]),c_0_25]),c_0_22]) ).
cnf(c_0_36,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_22,c_0_22]),c_0_22]) ).
cnf(c_0_37,plain,
rd(X1,mult(X2,X1)) = i(X2),
inference(spm,[status(thm)],[c_0_32,c_0_10]) ).
cnf(c_0_38,axiom,
mult(rd(X1,X2),X2) = X1,
c03 ).
cnf(c_0_39,plain,
rd(mult(X1,mult(X1,X2)),X2) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,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_34,c_0_35]),c_0_18]),c_0_36]) ).
cnf(c_0_41,plain,
rd(i(mult(X1,X2)),i(X2)) = i(X1),
inference(spm,[status(thm)],[c_0_32,c_0_14]) ).
cnf(c_0_42,plain,
i(rd(X1,X2)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
rd(X1,i(X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_28]),c_0_12]) ).
cnf(c_0_44,plain,
i(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,mult(op_d,mult(op_c,op_c))))),
inference(spm,[status(thm)],[c_0_25,c_0_40]) ).
cnf(c_0_45,plain,
mult(X1,mult(i(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_10,c_0_25]) ).
cnf(c_0_46,plain,
rd(i(X1),i(X2)) = rd(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38]),c_0_42]) ).
cnf(c_0_47,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,mult(op_d,mult(op_d,mult(op_c,op_c))))))) = op_d,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_32]) ).
cnf(c_0_48,plain,
mult(X1,i(mult(X1,X2))) = i(X2),
inference(spm,[status(thm)],[c_0_45,c_0_14]) ).
cnf(c_0_49,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_32,c_0_22]) ).
cnf(c_0_50,plain,
rd(X1,i(X2)) = rd(X2,i(X1)),
inference(spm,[status(thm)],[c_0_46,c_0_25]) ).
cnf(c_0_51,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_d,mult(op_c,op_c))))))) = unit,
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_52,plain,
mult(mult(op_d,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_10,c_0_47]),c_0_44]) ).
cnf(c_0_53,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_48,c_0_40]) ).
cnf(c_0_54,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_49,c_0_28]),c_0_12]),c_0_50]) ).
cnf(c_0_55,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_30,c_0_51]),c_0_52]),c_0_53]),c_0_25]),c_0_12]) ).
cnf(c_0_56,plain,
rd(X1,mult(X2,mult(X2,X1))) = i(mult(X2,X2)),
inference(spm,[status(thm)],[c_0_37,c_0_33]) ).
cnf(c_0_57,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_54,c_0_55]),c_0_40]),c_0_56]) ).
cnf(c_0_58,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_22,c_0_10]) ).
cnf(c_0_59,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_48,c_0_57]),c_0_25]),c_0_40]) ).
cnf(c_0_60,plain,
mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_22,c_0_38]) ).
cnf(c_0_61,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_58,c_0_59]),c_0_10]),c_0_57]) ).
cnf(c_0_62,plain,
rd(i(X1),X1) = i(mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_17]),c_0_12]),c_0_14]) ).
cnf(c_0_63,plain,
mult(mult(X1,X2),i(X1)) = mult(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_28]),c_0_12]) ).
cnf(c_0_64,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_32,c_0_61]),c_0_62]),c_0_33]),c_0_18]) ).
cnf(c_0_65,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_63,c_0_64]),c_0_36]),c_0_48]),c_0_48]),c_0_34]),c_0_45]),c_0_37]),c_0_63]) ).
cnf(c_0_66,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_54,c_0_65]),c_0_54]),c_0_38]) ).
cnf(c_0_67,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_10,c_0_66]),c_0_10]) ).
cnf(c_0_68,plain,
mult(rd(X1,X2),rd(X2,X1)) = unit,
inference(spm,[status(thm)],[c_0_28,c_0_42]) ).
cnf(c_0_69,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_37,c_0_67]),c_0_34]) ).
cnf(c_0_70,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_10,c_0_65]),c_0_10]) ).
cnf(c_0_71,plain,
mult(mult(op_d,mult(op_c,op_c)),mult(i(op_d),mult(op_c,op_c))) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_72,plain,
rd(mult(X1,X2),mult(i(X1),X2)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_39,c_0_45]) ).
cnf(c_0_73,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_39,c_0_71]),c_0_12]),c_0_72]) ).
cnf(c_0_74,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_58,c_0_67]),c_0_10]) ).
cnf(c_0_75,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_39,c_0_73]),c_0_73]) ).
cnf(c_0_76,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_74,c_0_73]) ).
cnf(c_0_77,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_38,c_0_75]),c_0_33]) ).
cnf(c_0_78,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_32,c_0_76]),c_0_32]) ).
cnf(c_0_79,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_58,c_0_77]),c_0_10]),c_0_78]) ).
cnf(c_0_80,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_49,c_0_79]),c_0_67]) ).
cnf(c_0_81,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_38,c_0_80]) ).
cnf(c_0_82,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_14,c_0_20]),c_0_36]),c_0_35]) ).
cnf(c_0_83,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_14,c_0_20]) ).
cnf(c_0_84,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_30,c_0_81]),c_0_55]),c_0_82]),c_0_29]) ).
cnf(c_0_85,plain,
i(mult(X1,i(X2))) = mult(i(X1),X2),
inference(spm,[status(thm)],[c_0_14,c_0_25]) ).
cnf(c_0_86,plain,
mult(mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_c,op_c))))),i(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_30,c_0_57]),c_0_55]),c_0_44]),c_0_48]) ).
cnf(c_0_87,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_83,c_0_84]),c_0_29]),c_0_40]) ).
cnf(c_0_88,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_85,c_0_86]),c_0_40]) ).
cnf(c_0_89,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_30,c_0_87]),c_0_88]),c_0_48]),c_0_25]) ).
cnf(c_0_90,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_63,c_0_89]),c_0_22]),c_0_48]),c_0_34]),c_0_45]),c_0_37]),c_0_63]) ).
cnf(c_0_91,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_10,c_0_90]),c_0_10]) ).
cnf(c_0_92,plain,
mult(op_c,mult(op_c,mult(op_c,X1))) = mult(i(op_c),X1),
inference(spm,[status(thm)],[c_0_22,c_0_26]) ).
cnf(c_0_93,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_38,c_0_91]),c_0_33]) ).
cnf(c_0_94,plain,
rd(X1,mult(X2,mult(X3,mult(X2,X1)))) = i(mult(X2,mult(X3,X2))),
inference(spm,[status(thm)],[c_0_37,c_0_22]) ).
cnf(c_0_95,plain,
mult(op_c,mult(op_d,mult(op_c,op_c))) = mult(i(op_c),op_d),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,plain,
rd(X1,mult(i(X1),X2)) = mult(X1,mult(i(X2),X1)),
inference(spm,[status(thm)],[c_0_54,c_0_85]) ).
cnf(c_0_97,plain,
i(mult(op_c,mult(op_d,op_c))) = mult(op_c,mult(i(op_d),op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_98,plain,
rd(mult(i(X1),X2),mult(X1,X2)) = i(mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_10]),c_0_14]) ).
cnf(c_0_99,plain,
mult(op_c,mult(op_c,mult(i(op_d),op_c))) = i(mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_48,c_0_97]) ).
cnf(c_0_100,plain,
rd(mult(i(X1),X2),i(X3)) = rd(X3,mult(X1,i(X2))),
inference(spm,[status(thm)],[c_0_46,c_0_85]) ).
cnf(c_0_101,plain,
mult(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_49,c_0_38]) ).
cnf(c_0_102,plain,
rd(mult(op_d,op_c),mult(op_d,i(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_98,c_0_99]),c_0_10]),c_0_100]),c_0_29]) ).
cnf(c_0_103,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_37,c_0_88]),c_0_54]),c_0_44]) ).
cnf(c_0_104,plain,
mult(i(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(spm,[status(thm)],[c_0_10,c_0_89]) ).
cnf(c_0_105,plain,
mult(X1,mult(i(mult(X1,X2)),X1)) = rd(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_17]),c_0_12]) ).
cnf(c_0_106,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_42,c_0_91]),c_0_29]) ).
cnf(c_0_107,plain,
mult(rd(X1,X2),i(X1)) = i(X2),
inference(spm,[status(thm)],[c_0_38,c_0_46]) ).
cnf(c_0_108,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_101,c_0_102]),c_0_33]),c_0_93]),c_0_50]) ).
cnf(c_0_109,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_10,c_0_103]),c_0_10]) ).
cnf(c_0_110,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_30,c_0_104]),c_0_105]),c_0_106]),c_0_29]),c_0_33]) ).
cnf(c_0_111,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_107,c_0_108]),c_0_25]) ).
cnf(c_0_112,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_58,c_0_109]),c_0_10]) ).
cnf(c_0_113,plain,
mult(op_c,mult(op_d,mult(op_d,mult(op_c,op_c)))) = mult(i(op_c),mult(op_d,op_d)),
inference(spm,[status(thm)],[c_0_10,c_0_110]) ).
cnf(c_0_114,plain,
i(mult(i(X1),X2)) = mult(X1,i(X2)),
inference(spm,[status(thm)],[c_0_14,c_0_25]) ).
cnf(c_0_115,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_34,c_0_33]) ).
cnf(c_0_116,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_22,c_0_14]),c_0_14]) ).
cnf(c_0_117,plain,
mult(i(mult(X1,X1)),mult(X1,X2)) = mult(i(X1),X2),
inference(spm,[status(thm)],[c_0_38,c_0_98]) ).
cnf(c_0_118,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,i(op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_111]),c_0_10]),c_0_89]),c_0_22]) ).
cnf(c_0_119,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_112,c_0_89]),c_0_22]) ).
cnf(c_0_120,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,i(X1)))))) = i(mult(op_d,mult(op_d,mult(op_d,mult(op_d,X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_18]),c_0_36]),c_0_35]) ).
cnf(c_0_121,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(spm,[status(thm)],[c_0_48,c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_122,plain,
i(mult(op_c,mult(op_c,X1))) = mult(op_c,mult(op_c,i(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_48]),c_0_14]) ).
cnf(c_0_123,plain,
mult(op_c,mult(op_c,mult(op_d,mult(op_c,mult(op_c,X1))))) = mult(op_d,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_95]),c_0_45]) ).
cnf(c_0_124,plain,
i(mult(rd(X1,X2),X3)) = mult(rd(X2,X1),i(X3)),
inference(spm,[status(thm)],[c_0_14,c_0_42]) ).
cnf(c_0_125,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_116,c_0_28]),c_0_12]),c_0_14]),c_0_25]) ).
cnf(c_0_126,plain,
mult(mult(op_c,mult(op_c,i(mult(op_d,op_d)))),mult(op_d,op_c)) = i(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(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_18]),c_0_36]),c_0_120]),c_0_48]),c_0_48]),c_0_48]),c_0_115]),c_0_121]) ).
cnf(c_0_127,plain,
i(unit) = unit,
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_128,plain,
i(mult(X1,mult(op_c,mult(op_c,i(X2))))) = mult(i(X1),mult(op_c,mult(op_c,X2))),
inference(spm,[status(thm)],[c_0_85,c_0_122]) ).
cnf(c_0_129,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(spm,[status(thm)],[c_0_117,c_0_123]),c_0_29]),c_0_33]),c_0_10]) ).
cnf(c_0_130,plain,
rd(mult(X1,X2),i(mult(X1,X3))) = mult(X1,mult(rd(X2,i(X3)),X1)),
inference(spm,[status(thm)],[c_0_101,c_0_48]) ).
cnf(c_0_131,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_48,c_0_101]),c_0_42]),c_0_124]) ).
cnf(c_0_132,plain,
mult(i(mult(op_d,op_c)),mult(op_d,mult(op_d,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_125,c_0_126]),c_0_28]),c_0_127]),c_0_24]),c_0_128]),c_0_129]),c_0_93]) ).
cnf(c_0_133,plain,
i(mult(X1,mult(X1,i(X2)))) = mult(i(mult(X1,X1)),X2),
inference(spm,[status(thm)],[c_0_85,c_0_33]) ).
cnf(c_0_134,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_43,c_0_130]),c_0_43]),c_0_33]) ).
cnf(c_0_135,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_131,c_0_43]),c_0_33]),c_0_63]),c_0_48]),c_0_43]) ).
cnf(c_0_136,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_32,c_0_132]) ).
cnf(c_0_137,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_126]),c_0_133]),c_0_29]),c_0_33]),c_0_129]),c_0_93]) ).
cnf(c_0_138,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)],[inference(spm,[status(thm)],[c_0_117,c_0_110]),c_0_29]),c_0_33]),c_0_10]) ).
cnf(c_0_139,plain,
mult(rd(i(X1),X2),X1) = i(X2),
inference(spm,[status(thm)],[c_0_107,c_0_25]) ).
cnf(c_0_140,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_58,c_0_63]),c_0_10]) ).
cnf(c_0_141,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_122,c_0_93]),c_0_34]) ).
cnf(c_0_142,plain,
rd(op_c,mult(op_c,mult(op_c,X1))) = mult(op_c,mult(mult(op_c,i(X1)),op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_92]),c_0_114]) ).
cnf(c_0_143,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,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(spm,[status(thm)],[c_0_117,c_0_132]),c_0_14]),c_0_134]),c_0_93]),c_0_115]),c_0_121]),c_0_133]),c_0_29]),c_0_33]),c_0_129]),c_0_93]),c_0_118]),c_0_25]) ).
cnf(c_0_144,plain,
mult(mult(op_d,mult(op_d,mult(op_d,i(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_135,c_0_136]),c_0_118]),c_0_137]),c_0_134]),c_0_93]),c_0_134]),c_0_67]),c_0_79]) ).
cnf(c_0_145,plain,
mult(i(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_10,c_0_138]) ).
cnf(c_0_146,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_125,c_0_59]),c_0_33]),c_0_53]),c_0_48]),c_0_25]),c_0_33]),c_0_82]),c_0_29]) ).
cnf(c_0_147,plain,
mult(X1,mult(rd(i(X1),X2),mult(X1,X3))) = mult(mult(X1,i(X2)),X3),
inference(spm,[status(thm)],[c_0_22,c_0_139]) ).
cnf(c_0_148,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,i(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_132]),c_0_25]),c_0_130]),c_0_50]),c_0_34]),c_0_141]),c_0_142]),c_0_25]),c_0_22]),c_0_134]),c_0_129]),c_0_129]),c_0_26]),c_0_143]),c_0_144]) ).
cnf(c_0_149,plain,
i(mult(X1,mult(X2,mult(X1,i(X3))))) = mult(i(mult(X1,mult(X2,X1))),X3),
inference(spm,[status(thm)],[c_0_85,c_0_22]) ).
cnf(c_0_150,plain,
mult(mult(op_c,mult(op_c,i(X1))),i(X2)) = i(mult(mult(op_c,mult(op_c,X1)),X2)),
inference(spm,[status(thm)],[c_0_14,c_0_122]) ).
cnf(c_0_151,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(spm,[status(thm)],[c_0_134,c_0_111]),c_0_134]),c_0_145]),c_0_10]),c_0_146]) ).
cnf(c_0_152,plain,
i(mult(X1,mult(X2,i(X3)))) = mult(i(X1),mult(i(X2),X3)),
inference(spm,[status(thm)],[c_0_14,c_0_85]) ).
cnf(c_0_153,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_147,c_0_10]),c_0_25]),c_0_14]) ).
cnf(c_0_154,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_d))))) = mult(i(mult(op_d,mult(op_d,op_d))),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_148]),c_0_18]),c_0_149]) ).
cnf(c_0_155,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_14,c_0_122]) ).
cnf(c_0_156,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_34,c_0_22]) ).
cnf(c_0_157,plain,
mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,mult(op_d,op_c)))))) = mult(i(mult(op_d,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_137]),c_0_134]),c_0_67]),c_0_79]),c_0_18]),c_0_36]),c_0_115]),c_0_121]),c_0_150]),c_0_129]),c_0_93]),c_0_118]),c_0_149]) ).
cnf(c_0_158,plain,
mult(X1,mult(X2,mult(X1,mult(i(mult(X1,mult(X2,X1))),X3)))) = X3,
inference(spm,[status(thm)],[c_0_22,c_0_45]) ).
cnf(c_0_159,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_10,c_0_151]),c_0_10]) ).
cnf(c_0_160,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_152,c_0_153]),c_0_152]),c_0_25]),c_0_25]),c_0_42]) ).
cnf(c_0_161,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_d,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(spm,[status(thm)],[c_0_134,c_0_154]),c_0_134]),c_0_155]),c_0_129]),c_0_129]),c_0_93]),c_0_22]),c_0_53]),c_0_156]),c_0_34]),c_0_25]),c_0_22]),c_0_36]),c_0_157]),c_0_36]),c_0_158]) ).
cnf(c_0_162,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_10,c_0_159]) ).
cnf(c_0_163,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_58,c_0_160]) ).
cnf(c_0_164,plain,
mult(mult(op_d,op_c),op_d) = mult(op_d,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_161]),c_0_162]) ).
cnf(c_0_165,plain,
mult(rd(X1,X2),mult(X2,X3)) = mult(i(X2),mult(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_10,c_0_60]) ).
cnf(c_0_166,plain,
mult(op_c,mult(mult(op_d,mult(op_c,op_c)),op_c)) = rd(mult(op_c,op_d),op_c),
inference(spm,[status(thm)],[c_0_49,c_0_78]) ).
cnf(c_0_167,plain,
mult(mult(mult(op_d,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(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]),c_0_134]),c_0_93]),c_0_10]) ).
cnf(c_0_168,plain,
mult(rd(mult(op_c,op_d),op_c),i(op_c)) = mult(op_c,mult(op_d,mult(op_c,op_c))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_166]),c_0_32]) ).
cnf(c_0_169,plain,
mult(mult(op_d,op_c),op_c) = mult(op_d,mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_167]),c_0_70]) ).
cnf(c_0_170,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_37,c_0_78]),c_0_34]) ).
cnf(c_0_171,plain,
mult(op_d,mult(op_c,mult(op_c,i(op_d)))) = mult(op_c,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_141]),c_0_25]) ).
cnf(c_0_172,plain,
rd(rd(X1,X2),i(X3)) = rd(X3,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_46,c_0_42]) ).
cnf(c_0_173,plain,
i(mult(op_c,mult(op_d,mult(op_c,op_c)))) = mult(rd(op_c,mult(op_c,op_d)),op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_168]),c_0_42]) ).
cnf(c_0_174,plain,
mult(mult(op_d,op_c),rd(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_140,c_0_169]),c_0_63]),c_0_170]),c_0_141]),c_0_171]) ).
cnf(c_0_175,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_54,c_0_38]),c_0_172]),c_0_165]) ).
cnf(c_0_176,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)],[c_0_173,c_0_95]),c_0_114]) ).
cnf(c_0_177,plain,
mult(mult(mult(op_d,op_c),op_c),mult(mult(op_d,op_c),op_d)) = mult(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_58,c_0_159]),c_0_10]) ).
cnf(c_0_178,plain,
mult(mult(op_d,op_c),mult(op_c,op_c)) = rd(op_d,op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_174]),c_0_29]),c_0_42]) ).
cnf(c_0_179,plain,
rd(op_c,rd(op_d,op_c)) = mult(op_c,mult(op_c,i(op_d))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_174]),c_0_141]) ).
cnf(c_0_180,plain,
rd(mult(op_c,i(op_d)),op_c) = rd(op_c,mult(op_c,op_d)),
inference(spm,[status(thm)],[c_0_32,c_0_176]) ).
cnf(c_0_181,plain,
i(mult(X1,rd(X2,X3))) = mult(i(X1),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_42]) ).
cnf(c_0_182,plain,
mult(mult(mult(mult(op_d,op_c),op_c),op_c),mult(mult(op_d,op_c),op_d)) = mult(mult(mult(op_d,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_58,c_0_177]),c_0_10]) ).
cnf(c_0_183,plain,
mult(mult(mult(op_d,op_c),op_c),mult(op_d,mult(op_d,mult(op_c,op_c)))) = mult(mult(op_d,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_163,c_0_143]),c_0_165]),c_0_45]) ).
cnf(c_0_184,plain,
rd(mult(op_d,op_c),mult(op_c,op_c)) = 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(spm,[status(thm)],[c_0_105,c_0_178]),c_0_42]),c_0_165]),c_0_169]),c_0_10]),c_0_178]) ).
cnf(c_0_185,plain,
mult(op_c,rd(op_c,mult(op_c,op_d))) = rd(op_c,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_179]),c_0_63]),c_0_180]),c_0_42]) ).
cnf(c_0_186,plain,
mult(i(X1),rd(X1,X2)) = mult(i(mult(X1,X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_63]),c_0_181]) ).
cnf(c_0_187,plain,
mult(mult(mult(mult(op_d,op_c),op_c),op_c),mult(mult(op_d,op_c),op_d)) = mult(mult(op_d,op_c),mult(op_d,mult(op_d,i(op_c)))),
inference(rw,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_188,plain,
mult(mult(op_d,mult(op_c,op_c)),op_c) = mult(mult(op_d,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_163,c_0_169]),c_0_165]),c_0_45]),c_0_169]) ).
cnf(c_0_189,plain,
rd(mult(X1,mult(X2,X2)),mult(X1,rd(X2,X1))) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_135]) ).
cnf(c_0_190,plain,
rd(mult(op_c,mult(op_d,op_c)),op_c) = mult(op_c,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_184]),c_0_38]) ).
cnf(c_0_191,plain,
rd(mult(op_d,mult(op_d,op_c)),mult(op_d,mult(op_c,op_c))) = rd(op_d,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_132]),c_0_105]) ).
cnf(c_0_192,plain,
rd(op_c,mult(op_c,op_d)) = mult(i(mult(op_c,op_d)),op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_185]),c_0_186]) ).
cnf(c_0_193,plain,
mult(mult(mult(op_d,op_c),mult(op_c,op_c)),mult(op_d,mult(op_d,op_c))) = mult(mult(op_d,op_c),mult(op_d,mult(op_d,i(op_c)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_164]),c_0_169]),c_0_188]) ).
cnf(c_0_194,plain,
rd(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(rw,[status(thm)],[inference(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_189,c_0_190]),c_0_22]),c_0_129]),c_0_26]),c_0_129]),c_0_129]),c_0_28]),c_0_12]),c_0_93]),c_0_191]),c_0_129]),c_0_26]) ).
cnf(c_0_195,plain,
mult(mult(op_d,op_c),mult(op_d,mult(op_d,i(op_c)))) = mult(op_d,mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_169]),c_0_79]) ).
cnf(c_0_196,plain,
mult(mult(mult(op_c,op_d),op_c),op_c) = mult(mult(op_c,op_d),mult(op_c,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_192]),c_0_45]) ).
cnf(c_0_197,plain,
mult(mult(op_c,op_d),op_c) = mult(op_c,mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_38,c_0_190]) ).
cnf(c_0_198,plain,
rd(op_d,mult(op_d,mult(op_d,op_c))) = i(mult(op_d,op_c)),
inference(spm,[status(thm)],[c_0_37,c_0_164]) ).
cnf(c_0_199,plain,
mult(mult(op_d,i(op_c)),mult(op_d,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)],[c_0_193,c_0_178]),c_0_194]),c_0_195]) ).
cnf(c_0_200,plain,
mult(mult(op_c,op_d),mult(op_c,op_c)) = mult(i(op_c),op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197]),c_0_22]),c_0_95]) ).
cnf(c_0_201,plain,
mult(i(mult(X1,X2)),mult(X1,mult(X2,X2))) = mult(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_135]) ).
cnf(c_0_202,plain,
rd(mult(op_d,op_d),mult(op_d,op_c)) = rd(op_d,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_198]),c_0_105]) ).
cnf(c_0_203,plain,
mult(mult(i(op_d),op_c),mult(op_d,mult(op_d,op_d))) = mult(op_d,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_199]),c_0_85]) ).
cnf(c_0_204,plain,
mult(mult(i(op_d),op_c),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_30,c_0_200]),c_0_197]),c_0_129]),c_0_26]),c_0_85]),c_0_45]) ).
cnf(c_0_205,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_49,c_0_201]),c_0_105]) ).
cnf(c_0_206,plain,
rd(mult(op_d,op_d),mult(op_d,op_c)) = mult(op_d,i(op_c)),
inference(rw,[status(thm)],[c_0_202,c_0_194]) ).
cnf(c_0_207,plain,
mult(mult(op_d,op_c),mult(op_d,i(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(spm,[status(thm)],[c_0_134,c_0_169]),c_0_134]),c_0_33]),c_0_93]),c_0_33]),c_0_95]),c_0_45]),c_0_129]),c_0_26]) ).
cnf(c_0_208,plain,
rd(mult(op_d,mult(op_d,mult(op_d,op_c))),mult(op_d,op_d)) = mult(op_d,op_c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_203]),c_0_204]) ).
cnf(c_0_209,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_101,c_0_205]),c_0_38]) ).
cnf(c_0_210,plain,
mult(mult(mult(op_d,op_c),mult(op_d,op_d)),mult(op_d,op_d)) = mult(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(spm,[status(thm)],[c_0_135,c_0_206]),c_0_207]),c_0_33]) ).
cnf(c_0_211,plain,
mult(mult(op_d,op_c),mult(op_d,op_d)) = mult(op_d,mult(op_d,mult(op_d,op_c))),
inference(spm,[status(thm)],[c_0_38,c_0_208]) ).
cnf(c_0_212,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_22,c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_213,plain,
mult(X1,mult(X2,mult(X2,rd(X1,X2)))) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_38,c_0_209]) ).
cnf(c_0_214,plain,
mult(mult(op_d,mult(op_d,mult(op_d,op_c))),mult(op_d,op_d)) = mult(mult(op_d,op_c),mult(op_d,mult(op_d,mult(op_d,op_d)))),
inference(rw,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_215,plain,
rd(mult(X1,mult(X2,mult(X3,mult(X2,mult(X4,mult(X2,mult(X3,mult(X2,mult(X1,X5))))))))),X5) = mult(X1,mult(X2,mult(X3,mult(X2,mult(X4,mult(X2,mult(X3,mult(X2,X1)))))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_212]),c_0_212]) ).
cnf(c_0_216,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_206]),c_0_207]),c_0_211]),c_0_33]),c_0_33]),c_0_214]) ).
cnf(c_0_217,plain,
rd(mult(op_d,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_215,c_0_154]),c_0_158]),c_0_216]),c_0_157]),c_0_158]) ).
cnf(c_0_218,negated_conjecture,
mult(op_c,op_d) != mult(op_d,op_c),
goals ).
cnf(c_0_219,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_217]),c_0_218]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP689-1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 20:16:49 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.59 start to proof: theBenchmark
% 2.43/2.60 % Version : CSE_E---1.5
% 2.43/2.60 % Problem : theBenchmark.p
% 2.43/2.60 % Proof found
% 2.43/2.60 % SZS status Theorem for theBenchmark.p
% 2.43/2.60 % SZS output start Proof
% See solution above
% 2.43/2.61 % Total time : 2.001000 s
% 2.43/2.61 % SZS output end Proof
% 2.43/2.61 % Total time : 2.005000 s
%------------------------------------------------------------------------------