↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW185+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:10:02 PM UTC 2026

% Result   : Theorem 174.22s 26.67s
% Output   : CNFRefutation 174.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   95 (  35 unt;   0 def)
%            Number of atoms       :  164 (  99 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  122 (  53   ~;  48   |;   1   &)
%                                         (   1 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   5 con; 0-3 aty)
%            Number of variables   :  148 (  21 sgn  77   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(clrel_Rings_Ocomm__semiring__0__Groups_Ozero,axiom,
    ! [X94] :
      ( class_Rings_Ocomm__semiring__0(X94)
     => class_Groups_Ozero(X94) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Groups_Ozero) ).

fof(fact_poly__0,axiom,
    ! [X20,X5] :
      ( class_Rings_Ocomm__semiring__0(X5)
     => hAPP(c_Polynomial_Opoly(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X20) = c_Groups_Ozero__class_Ozero(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__0) ).

fof(fact_coeff__0,axiom,
    ! [X18,X5] :
      ( class_Groups_Ozero(X5)
     => hAPP(c_Polynomial_Ocoeff(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X18) = c_Groups_Ozero__class_Ozero(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_coeff__0) ).

fof(tfree_0,hypothesis,
    class_Rings_Ocomm__semiring__0(t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0) ).

fof(fact_mult__zero__left,axiom,
    ! [X6,X5] :
      ( class_Rings_Omult__zero(X5)
     => hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X6) = c_Groups_Ozero__class_Ozero(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__zero__left) ).

fof(clrel_Rings_Ocomm__semiring__0__Rings_Omult__zero,axiom,
    ! [X94] :
      ( class_Rings_Ocomm__semiring__0(X94)
     => class_Rings_Omult__zero(X94) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Rings_Omult__zero) ).

fof(fact_ext,axiom,
    ! [X1,X2] :
      ( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
     => X2 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ext) ).

fof(fact_offset__poly__pCons,axiom,
    ! [X4,X25,X6,X5] :
      ( class_Rings_Ocomm__semiring__0(X5)
     => c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,c_Polynomial_OpCons(X5,X6,X25),X4) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X4,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,X25,X4)),c_Polynomial_OpCons(X5,X6,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,X25,X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_offset__poly__pCons) ).

fof(fact_poly__offset__poly,axiom,
    ! [X20,X4,X25,X5] :
      ( class_Rings_Ocomm__semiring__0(X5)
     => hAPP(c_Polynomial_Opoly(X5,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,X25,X4)),X20) = hAPP(c_Polynomial_Opoly(X5,X25),c_Groups_Oplus__class_Oplus(X5,X4,X20)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__offset__poly) ).

fof(fact_add_Ocomm__neutral,axiom,
    ! [X6,X5] :
      ( class_Groups_Ocomm__monoid__add(X5)
     => c_Groups_Oplus__class_Oplus(X5,X6,c_Groups_Ozero__class_Ozero(X5)) = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add_Ocomm__neutral) ).

fof(clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add,axiom,
    ! [X94] :
      ( class_Rings_Ocomm__semiring__0(X94)
     => class_Groups_Ocomm__monoid__add(X94) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add) ).

fof(fact_offset__poly__eq__0__lemma,axiom,
    ! [X6,X25,X23,X5] :
      ( class_Rings_Ocomm__semiring__0(X5)
     => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X23,X25),c_Polynomial_OpCons(X5,X6,X25)) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))
       => X25 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_offset__poly__eq__0__lemma) ).

fof(fact_degree__pCons__0,axiom,
    ! [X6,X5] :
      ( class_Groups_Ozero(X5)
     => c_Polynomial_Odegree(X5,c_Polynomial_OpCons(X5,X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__pCons__0) ).

fof(fact_add__poly__code_I2_J,axiom,
    ! [X25,X5] :
      ( class_Groups_Ocomm__monoid__add(X5)
     => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X25,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) = X25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__poly__code_I2_J) ).

fof(conj_2,conjecture,
    c_Polynomial_OpCons(t_a,v_a,v_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).

fof(fact_synthetic__div__correct,axiom,
    ! [X23,X25,X5] :
      ( class_Rings_Ocomm__semiring__0(X5)
     => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X25,c_Polynomial_Osmult(X5,X23,c_Polynomial_Osynthetic__div(X5,X25,X23))) = c_Polynomial_OpCons(X5,hAPP(c_Polynomial_Opoly(X5,X25),X23),c_Polynomial_Osynthetic__div(X5,X25,X23)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_synthetic__div__correct) ).

fof(conj_1,hypothesis,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(fact_synthetic__div__eq__0__iff,axiom,
    ! [X31,X7,X9] :
      ( class_Rings_Ocomm__semiring__0(X9)
     => ( c_Polynomial_Osynthetic__div(X9,X7,X31) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9))
      <=> c_Polynomial_Odegree(X9,X7) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_synthetic__div__eq__0__iff) ).

fof(conj_0,hypothesis,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
   => v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(fact_smult__0__right,axiom,
    ! [X6,X5] :
      ( class_Rings_Ocomm__semiring__0(X5)
     => c_Polynomial_Osmult(X5,X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_smult__0__right) ).

fof(fact_pCons__0__0,axiom,
    ! [X5] :
      ( class_Groups_Ozero(X5)
     => c_Polynomial_OpCons(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pCons__0__0) ).

fof(c_0_21,plain,
    ! [X2993] :
      ( class_Groups_Ozero(X2993)
      | ~ class_Rings_Ocomm__semiring__0(X2993) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[clrel_Rings_Ocomm__semiring__0__Groups_Ozero])])]) ).

fof(c_0_22,plain,
    ! [X175,X176] :
      ( hAPP(c_Polynomial_Opoly(X176,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X176))),X175) = c_Groups_Ozero__class_Ozero(X176)
      | ~ class_Rings_Ocomm__semiring__0(X176) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__0])])]) ).

fof(c_0_23,plain,
    ! [X222,X223] :
      ( hAPP(c_Polynomial_Ocoeff(X223,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X223))),X222) = c_Groups_Ozero__class_Ozero(X223)
      | ~ class_Groups_Ozero(X223) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__0])])]) ).

cnf(c_0_24,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | class_Groups_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,hypothesis,
    class_Rings_Ocomm__semiring__0(t_a),
    inference(split_conjunct,[status(thm)],[tfree_0]) ).

fof(c_0_26,plain,
    ! [X592,X593] :
      ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X593),c_Groups_Ozero__class_Ozero(X593)),X592) = c_Groups_Ozero__class_Ozero(X593)
      | ~ class_Rings_Omult__zero(X593) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__zero__left])])]) ).

fof(c_0_27,plain,
    ! [X2991] :
      ( class_Rings_Omult__zero(X2991)
      | ~ class_Rings_Ocomm__semiring__0(X2991) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[clrel_Rings_Ocomm__semiring__0__Rings_Omult__zero])])]) ).

fof(c_0_28,plain,
    ! [X97,X98] :
      ( X98 = X97
      | hAPP(X98,esk1_2(X97,X98)) != hAPP(X97,esk1_2(X97,X98)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])])]) ).

cnf(c_0_29,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    ( ~ class_Groups_Ozero(X1)
    | hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,hypothesis,
    class_Groups_Ozero(t_a),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,plain,
    ( ~ class_Rings_Omult__zero(X1)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | class_Rings_Omult__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_34,plain,
    ! [X328,X329,X330,X331] :
      ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X331,c_Polynomial_OpCons(X331,X330,X329),X328) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X331),c_Polynomial_Osmult(X331,X328,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X331,X329,X328)),c_Polynomial_OpCons(X331,X330,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X331,X329,X328)))
      | ~ class_Rings_Ocomm__semiring__0(X331) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__pCons])])]) ).

fof(c_0_35,plain,
    ! [X314,X315,X316,X317] :
      ( hAPP(c_Polynomial_Opoly(X317,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X317,X316,X315)),X314) = hAPP(c_Polynomial_Opoly(X317,X316),c_Groups_Oplus__class_Oplus(X317,X315,X314))
      | ~ class_Rings_Ocomm__semiring__0(X317) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__offset__poly])])]) ).

cnf(c_0_36,plain,
    ( hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1))
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_37,hypothesis,
    hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1) = c_Groups_Ozero__class_Ozero(t_a),
    inference(spm,[status(thm)],[c_0_29,c_0_25]) ).

cnf(c_0_38,hypothesis,
    hAPP(c_Polynomial_Ocoeff(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1) = c_Groups_Ozero__class_Ozero(t_a),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_39,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = c_Groups_Ozero__class_Ozero(X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

fof(c_0_40,plain,
    ! [X296,X297] :
      ( c_Groups_Oplus__class_Oplus(X297,X296,c_Groups_Ozero__class_Ozero(X297)) = X296
      | ~ class_Groups_Ocomm__monoid__add(X297) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add_Ocomm__neutral])])]) ).

fof(c_0_41,plain,
    ! [X2987] :
      ( class_Groups_Ocomm__monoid__add(X2987)
      | ~ class_Rings_Ocomm__semiring__0(X2987) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add])])]) ).

fof(c_0_42,plain,
    ! [X318,X319,X320,X321] :
      ( X319 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X321))
      | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X321),c_Polynomial_Osmult(X321,X320,X319),c_Polynomial_OpCons(X321,X318,X319)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X321))
      | ~ class_Rings_Ocomm__semiring__0(X321) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__eq__0__lemma])])]) ).

cnf(c_0_43,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Polynomial_OpCons(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X4,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X4)),c_Polynomial_OpCons(X1,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X4))) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_44,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | hAPP(c_Polynomial_Opoly(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3)),X4) = hAPP(c_Polynomial_Opoly(X1,X2),c_Groups_Oplus__class_Oplus(X1,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_45,hypothesis,
    ( hAPP(X1,esk1_2(X1,c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))) != c_Groups_Ozero__class_Ozero(t_a)
    | c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = X1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_46,hypothesis,
    ( hAPP(X1,esk1_2(c_Polynomial_Ocoeff(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1)) != c_Groups_Ozero__class_Ozero(t_a)
    | X1 = c_Polynomial_Ocoeff(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) ),
    inference(spm,[status(thm)],[c_0_36,c_0_38]) ).

cnf(c_0_47,hypothesis,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),c_Groups_Ozero__class_Ozero(t_a)),X1) = c_Groups_Ozero__class_Ozero(t_a),
    inference(spm,[status(thm)],[c_0_39,c_0_25]) ).

cnf(c_0_48,plain,
    ( ~ class_Groups_Ocomm__monoid__add(X1)
    | c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_49,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | class_Groups_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_50,plain,
    ! [X538,X539] :
      ( c_Polynomial_Odegree(X539,c_Polynomial_OpCons(X539,X538,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X539)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | ~ class_Groups_Ozero(X539) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__pCons__0])])]) ).

cnf(c_0_51,plain,
    ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),c_Polynomial_OpCons(X1,X4,X3)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1)
    | X3 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_52,hypothesis,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X2,X1)),c_Polynomial_OpCons(t_a,X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X2,X1))) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X3,X2),X1),
    inference(spm,[status(thm)],[c_0_43,c_0_25]) ).

fof(c_0_53,plain,
    ! [X306,X307] :
      ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X307),X306,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X307))) = X306
      | ~ class_Groups_Ocomm__monoid__add(X307) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__poly__code_I2_J])])]) ).

fof(c_0_54,negated_conjecture,
    c_Polynomial_OpCons(t_a,v_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(assume_negation,[status(cth)],[conj_2]) ).

fof(c_0_55,plain,
    ! [X233,X234,X235] :
      ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X235),X234,c_Polynomial_Osmult(X235,X233,c_Polynomial_Osynthetic__div(X235,X234,X233))) = c_Polynomial_OpCons(X235,hAPP(c_Polynomial_Opoly(X235,X234),X233),c_Polynomial_Osynthetic__div(X235,X234,X233))
      | ~ class_Rings_Ocomm__semiring__0(X235) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__correct])])]) ).

cnf(c_0_56,hypothesis,
    hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2)),X3) = hAPP(c_Polynomial_Opoly(t_a,X1),c_Groups_Oplus__class_Oplus(t_a,X2,X3)),
    inference(spm,[status(thm)],[c_0_44,c_0_25]) ).

cnf(c_0_57,hypothesis,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(split_conjunct,[status(thm)],[conj_1]) ).

cnf(c_0_58,hypothesis,
    c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = c_Polynomial_Ocoeff(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
    inference(spm,[status(thm)],[c_0_45,c_0_38]) ).

cnf(c_0_59,hypothesis,
    c_Polynomial_Ocoeff(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = hAPP(c_Groups_Otimes__class_Otimes(t_a),c_Groups_Ozero__class_Ozero(t_a)),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_60,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2 ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_61,plain,
    ! [X543,X544,X545] :
      ( ( ~ class_Rings_Ocomm__semiring__0(X545)
        | c_Polynomial_Osynthetic__div(X545,X544,X543) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X545))
        | c_Polynomial_Odegree(X545,X544) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
      & ( ~ class_Rings_Ocomm__semiring__0(X545)
        | c_Polynomial_Odegree(X545,X544) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | c_Polynomial_Osynthetic__div(X545,X544,X543) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X545)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__eq__0__iff])])])]) ).

cnf(c_0_62,plain,
    ( ~ class_Groups_Ozero(X1)
    | c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_63,hypothesis,
    ( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).

cnf(c_0_64,hypothesis,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X3,X1),X2) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_25])]) ).

fof(c_0_65,plain,
    ! [X215,X216] :
      ( c_Polynomial_Osmult(X216,X215,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X216))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X216))
      | ~ class_Rings_Ocomm__semiring__0(X216) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__0__right])])]) ).

cnf(c_0_66,plain,
    ( ~ class_Groups_Ocomm__monoid__add(X1)
    | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_67,plain,
    ! [X105] :
      ( c_Polynomial_OpCons(X105,c_Groups_Ozero__class_Ozero(X105),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X105))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X105))
      | ~ class_Groups_Ozero(X105) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons__0__0])])]) ).

fof(c_0_68,negated_conjecture,
    c_Polynomial_OpCons(t_a,v_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

cnf(c_0_69,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X3,c_Polynomial_Osynthetic__div(X1,X2,X3))) = c_Polynomial_OpCons(X1,hAPP(c_Polynomial_Opoly(X1,X2),X3),c_Polynomial_Osynthetic__div(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_70,hypothesis,
    hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,X1)) = c_Groups_Ozero__class_Ozero(t_a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]),c_0_47]) ).

cnf(c_0_71,hypothesis,
    c_Groups_Oplus__class_Oplus(t_a,X1,c_Groups_Ozero__class_Ozero(t_a)) = X1,
    inference(spm,[status(thm)],[c_0_60,c_0_25]) ).

cnf(c_0_72,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | c_Polynomial_Odegree(X1,X2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
    | c_Polynomial_Osynthetic__div(X1,X2,X3) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_73,hypothesis,
    c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
    inference(spm,[status(thm)],[c_0_62,c_0_31]) ).

cnf(c_0_74,hypothesis,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
    | v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_75,hypothesis,
    c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(spm,[status(thm)],[c_0_64,c_0_57]) ).

cnf(c_0_76,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | c_Polynomial_Osmult(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_77,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = X2 ),
    inference(spm,[status(thm)],[c_0_66,c_0_49]) ).

cnf(c_0_78,plain,
    ( ~ class_Groups_Ozero(X1)
    | c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

fof(c_0_79,negated_conjecture,
    c_Polynomial_OpCons(t_a,v_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(fof_nnf,[status(thm)],[c_0_68]) ).

cnf(c_0_80,hypothesis,
    c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,X1),X2),c_Polynomial_Osynthetic__div(t_a,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X1,c_Polynomial_Osmult(t_a,X2,c_Polynomial_Osynthetic__div(t_a,X1,X2))),
    inference(spm,[status(thm)],[c_0_69,c_0_25]) ).

cnf(c_0_81,hypothesis,
    hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p)),v_h) = c_Groups_Ozero__class_Ozero(t_a),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_82,hypothesis,
    c_Polynomial_Osynthetic__div(t_a,c_Polynomial_OpCons(t_a,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_25])]) ).

cnf(c_0_83,hypothesis,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_p,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]) ).

cnf(c_0_84,hypothesis,
    c_Polynomial_Osmult(t_a,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(spm,[status(thm)],[c_0_76,c_0_25]) ).

cnf(c_0_85,hypothesis,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = X1,
    inference(spm,[status(thm)],[c_0_77,c_0_25]) ).

cnf(c_0_86,hypothesis,
    c_Polynomial_OpCons(t_a,c_Groups_Ozero__class_Ozero(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(spm,[status(thm)],[c_0_78,c_0_31]) ).

cnf(c_0_87,negated_conjecture,
    c_Polynomial_OpCons(t_a,v_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_88,hypothesis,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_OpCons(t_a,v_a,v_p),c_Polynomial_Osmult(t_a,v_h,c_Polynomial_Osynthetic__div(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h))) = c_Polynomial_OpCons(t_a,c_Groups_Ozero__class_Ozero(t_a),c_Polynomial_Osynthetic__div(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h)),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_89,hypothesis,
    c_Polynomial_Osynthetic__div(t_a,c_Polynomial_OpCons(t_a,X1,v_p),X2) = v_p,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83]),c_0_83]) ).

cnf(c_0_90,hypothesis,
    c_Polynomial_Osmult(t_a,X1,v_p) = v_p,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_83]),c_0_83]) ).

cnf(c_0_91,hypothesis,
    c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X1,v_p) = X1,
    inference(rw,[status(thm)],[c_0_85,c_0_83]) ).

cnf(c_0_92,hypothesis,
    c_Polynomial_OpCons(t_a,c_Groups_Ozero__class_Ozero(t_a),v_p) = v_p,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_83]),c_0_83]) ).

cnf(c_0_93,negated_conjecture,
    c_Polynomial_OpCons(t_a,v_a,v_p) != v_p,
    inference(rw,[status(thm)],[c_0_87,c_0_83]) ).

cnf(c_0_94,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]),c_0_89]),c_0_92]),c_0_93]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWW185+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.47  % Computer : n005.cluster.edu
% 0.16/0.47  % Model    : x86_64 x86_64
% 0.16/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.47  % Memory   : 8046.5625MB
% 0.16/0.47  % OS       : Linux 6.8.0-71-generic
% 0.16/0.47  % CPULimit : 300
% 0.16/0.47  % WCLimit  : 300
% 0.16/0.47  % DateTime : Mon Sep 21 09:40:03 UTC 2026
% 0.16/0.47  % CPUTime  : 
% 0.16/0.47  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.54  Running first-order theorem proving
% 0.20/0.55  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 174.22/26.67  % Version: 3.5.1
% 174.22/26.67  % Preprocessing class: FMLMSMSMSSSNFFN.
% 174.22/26.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 174.22/26.67  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 174.22/26.67  % Starting new_bool_3 with 300s (1) cores
% 174.22/26.67  % Starting new_bool_1 with 300s (1) cores
% 174.22/26.67  % Starting sh5l with 300s (1) cores
% 174.22/26.67  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3143689 completed with status 0
% 174.22/26.67  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 174.22/26.67  % Preprocessing class: FMLMSMSMSSSNFFN.
% 174.22/26.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 174.22/26.67  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 174.22/26.67  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 174.22/26.67  % No SInE strategy applied
% 174.22/26.67  % Search class: FGHSM-SMLM32-DFFFFFNN
% 174.22/26.67  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 174.22/26.67  % Starting SubtermCWHack with 136s (1) cores
% 174.22/26.67  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 174.22/26.67  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 174.22/26.67  % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 174.22/26.67  % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 174.22/26.67  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 3143698 completed with status 0
% 174.22/26.67  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 174.22/26.67  % Preprocessing class: FMLMSMSMSSSNFFN.
% 174.22/26.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 174.22/26.67  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 174.22/26.67  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 174.22/26.67  % No SInE strategy applied
% 174.22/26.67  % Search class: FGHSM-SMLM32-DFFFFFNN
% 174.22/26.67  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 174.22/26.67  % Starting SubtermCWHack with 136s (1) cores
% 174.22/26.67  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 174.22/26.67  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 174.22/26.67  % Preprocessing time       : 0.034 s
% 174.22/26.67  
% 174.22/26.67  % Proof found!
% 174.22/26.67  % SZS status Theorem
% 174.22/26.67  % SZS output start CNFRefutation
% See solution above
% 174.22/26.67  % Parsed axioms                        : 1183
% 174.22/26.67  % Removed by relevancy pruning/SinE    : 0
% 174.22/26.67  % Initial clauses                      : 1639
% 174.22/26.67  % Removed in clause preprocessing      : 80
% 174.22/26.67  % Initial clauses in saturation        : 1559
% 174.22/26.67  % Processed clauses                    : 44885
% 174.22/26.67  % ...of these trivial                  : 3989
% 174.22/26.67  % ...subsumed                          : 23274
% 174.22/26.67  % ...remaining for further processing  : 17622
% 174.22/26.67  % Other redundant clauses eliminated   : 3860
% 174.22/26.67  % Clauses deleted for lack of memory   : 0
% 174.22/26.67  % Backward-subsumed                    : 1146
% 174.22/26.67  % Backward-rewritten                   : 2676
% 174.22/26.67  % Generated clauses                    : 339459
% 174.22/26.67  % ...of the previous two non-redundant : 294621
% 174.22/26.67  % ...aggressively subsumed             : 0
% 174.22/26.67  % Contextual simplify-reflections      : 109
% 174.22/26.67  % Paramodulations                      : 335467
% 174.22/26.67  % Factorizations                       : 22
% 174.22/26.67  % NegExts                              : 0
% 174.22/26.67  % Equation resolutions                 : 3998
% 174.22/26.67  % Disequality decompositions           : 0
% 174.22/26.67  % Total rewrite steps                  : 209066
% 174.22/26.67  % ...of those cached                   : 186097
% 174.22/26.67  % Propositional unsat checks           : 0
% 174.22/26.67  %    Propositional check models        : 0
% 174.22/26.67  %    Propositional check unsatisfiable : 0
% 174.22/26.67  %    Propositional clauses             : 0
% 174.22/26.67  %    Propositional clauses after purity: 0
% 174.22/26.67  %    Propositional unsat core size     : 0
% 174.22/26.67  %    Propositional preprocessing time  : 0.000
% 174.22/26.67  %    Propositional encoding time       : 0.000
% 174.22/26.67  %    Propositional solver time         : 0.000
% 174.22/26.67  %    Success case prop preproc time    : 0.000
% 174.22/26.67  %    Success case prop encoding time   : 0.000
% 174.22/26.67  %    Success case prop solver time     : 0.000
% 174.22/26.67  % Current number of processed clauses  : 13630
% 174.22/26.67  %    Positive orientable unit clauses  : 2826
% 174.22/26.67  %    Positive unorientable unit clauses: 32
% 174.22/26.67  %    Negative unit clauses             : 298
% 174.22/26.67  %    Non-unit-clauses                  : 10474
% 174.22/26.67  % Current number of unprocessed clauses: 250056
% 174.22/26.67  % ...number of literals in the above   : 595338
% 174.22/26.67  % Current number of archived formulas  : 0
% 174.22/26.67  % Current number of archived clauses   : 3823
% 174.22/26.67  % Clause-clause subsumption calls (NU) : 6888981
% 174.22/26.67  % Rec. Clause-clause subsumption calls : 5959079
% 174.22/26.67  % Non-unit clause-clause subsumptions  : 17818
% 174.22/26.67  % Unit Clause-clause subsumption calls : 146314
% 174.22/26.67  % Rewrite failures with RHS unbound    : 42
% 174.22/26.67  % BW rewrite match attempts            : 164051
% 174.22/26.67  % BW rewrite match successes           : 881
% 174.22/26.67  % Condensation attempts                : 0
% 174.22/26.67  % Condensation successes               : 0
% 174.22/26.67  % Termbank termtop insertions          : 15432374
% 174.22/26.67  % Search garbage collected termcells   : 21433
% 174.22/26.67  
% 174.22/26.67  % -------------------------------------------------
% 174.22/26.67  % User time                : 25.204 s
% 174.22/26.67  % System time              : 0.419 s
% 174.22/26.67  % Total time               : 25.623 s
% 174.22/26.67  % Maximum resident set size: 9892 pages
% 174.22/26.67  
% 174.22/26.67  % -------------------------------------------------
% 174.22/26.67  % User time                : 121.889 s
% 174.22/26.67  % System time              : 3.255 s
% 174.22/26.67  % Total time               : 125.144 s
% 174.22/26.67  % Maximum resident set size: 5888 pages
% 174.22/26.67  % E exiting
%------------------------------------------------------------------------------