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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW189+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 03:10:03 PM UTC 2026

% Result   : Theorem 51.15s 8.18s
% Output   : CNFRefutation 51.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   42 (  15 unt;   0 def)
%            Number of atoms       :   88 (  63 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   79 (  33   ~;  29   |;   6   &)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   4 con; 0-3 aty)
%            Number of variables   :   66 (   4 sgn  39   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    ? [X79] :
      ( ! [X3] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X79),X3) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X3))
      & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X79) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(fact_psize__def,axiom,
    ! [X6,X7] :
      ( class_Groups_Ozero(X7)
     => ( ( X6 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))
         => c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X7,X6) = c_Nat_OSuc(c_Polynomial_Odegree(X7,X6)) )
        & ( X6 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))
         => c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X7,X6) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_psize__def) ).

fof(fact_poly__offset__poly,axiom,
    ! [X4,X8,X6,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => hAPP(c_Polynomial_Opoly(X7,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X6,X8)),X4) = hAPP(c_Polynomial_Opoly(X7,X6),c_Groups_Oplus__class_Oplus(X7,X8,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__offset__poly) ).

fof(fact_Suc__eq__plus1,axiom,
    ! [X18] : c_Nat_OSuc(X18) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).

fof(fact_nat__add__commute,axiom,
    ! [X18,X25] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X25,X18) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__add__commute) ).

fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).

fof(fact_degree__offset__poly,axiom,
    ! [X8,X6,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => c_Polynomial_Odegree(X7,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X6,X8)) = c_Polynomial_Odegree(X7,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_degree__offset__poly) ).

fof(fact_poly__0,axiom,
    ! [X4,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => hAPP(c_Polynomial_Opoly(X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))),X4) = c_Groups_Ozero__class_Ozero(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__0) ).

fof(fact_offset__poly__eq__0__iff,axiom,
    ! [X20,X10,X7] :
      ( class_Rings_Ocomm__semiring__0(X7)
     => ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X10,X20) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))
      <=> X10 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__eq__0__iff) ).

fof(c_0_10,negated_conjecture,
    ~ ? [X79] :
        ( ! [X3] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X79),X3) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X3))
        & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X79) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_11,plain,
    ! [X6,X7] :
      ( class_Groups_Ozero(X7)
     => ( ( X6 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))
         => c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X7,X6) = c_Nat_OSuc(c_Polynomial_Odegree(X7,X6)) )
        & ( X6 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X7))
         => c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X7,X6) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_psize__def]) ).

fof(c_0_12,negated_conjecture,
    ! [X3175] :
      ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X3175),esk22_1(X3175)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk22_1(X3175)))
      | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X3175) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

fof(c_0_13,plain,
    ! [X92,X93,X94,X95] :
      ( hAPP(c_Polynomial_Opoly(X95,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X95,X94,X93)),X92) = hAPP(c_Polynomial_Opoly(X95,X94),c_Groups_Oplus__class_Oplus(X95,X93,X92))
      | ~ class_Rings_Ocomm__semiring__0(X95) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__offset__poly])])]) ).

fof(c_0_14,plain,
    ! [X797,X798] :
      ( ( ~ class_Groups_Ozero(X798)
        | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X798,X797) = c_Nat_OSuc(c_Polynomial_Odegree(X798,X797))
        | X797 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X798)) )
      & ( ~ class_Groups_Ozero(X798)
        | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X798,X797) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
        | X797 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X798)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

fof(c_0_15,plain,
    ! [X1791] : c_Nat_OSuc(X1791) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1791,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).

cnf(c_0_16,negated_conjecture,
    ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),esk22_1(X1)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk22_1(X1)))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X1) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,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_13]) ).

cnf(c_0_18,plain,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).

cnf(c_0_19,plain,
    ( ~ class_Groups_Ozero(X2)
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) = c_Nat_OSuc(c_Polynomial_Odegree(X2,X1))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_21,plain,
    ! [X666,X667] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X667,X666) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X666,X667),
    inference(variable_rename,[status(thm)],[fact_nat__add__commute]) ).

cnf(c_0_22,negated_conjecture,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X1,X2)) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
    | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,esk22_1(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X1,X2)))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk22_1(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X1,X2)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_23,plain,
    ( ~ class_Groups_Ozero(X2)
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))
    | X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ),
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p),
    inference(er,[status(thm)],[c_0_22]) ).

cnf(c_0_26,plain,
    ( ~ class_Groups_Ozero(X1)
    | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(X1,X2)) ),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,plain,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]) ).

fof(c_0_28,plain,
    ! [X741,X742,X743] :
      ( c_Polynomial_Odegree(X743,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X743,X742,X741)) = c_Polynomial_Odegree(X743,X742)
      | ~ class_Rings_Ocomm__semiring__0(X743) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__offset__poly])])]) ).

cnf(c_0_29,negated_conjecture,
    ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a))) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_30,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | c_Polynomial_Odegree(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3)) = c_Polynomial_Odegree(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_31,plain,
    ! [X241,X242] :
      ( hAPP(c_Polynomial_Opoly(X242,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X242))),X241) = c_Groups_Ozero__class_Ozero(X242)
      | ~ class_Rings_Ocomm__semiring__0(X242) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__0])])]) ).

fof(c_0_32,plain,
    ! [X182,X183,X184] :
      ( ( ~ class_Rings_Ocomm__semiring__0(X184)
        | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X184,X183,X182) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X184))
        | X183 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X184)) )
      & ( ~ class_Rings_Ocomm__semiring__0(X184)
        | X183 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X184))
        | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X184,X183,X182) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X184)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__eq__0__iff])])])]) ).

cnf(c_0_33,negated_conjecture,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_18])]) ).

cnf(c_0_34,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_31]) ).

cnf(c_0_35,plain,
    ( ~ class_Rings_Ocomm__semiring__0(X1)
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p
    | c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_27])]) ).

cnf(c_0_37,negated_conjecture,
    ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
    | hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk22_1(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_34]),c_0_18])]) ).

cnf(c_0_38,negated_conjecture,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_18])]) ).

cnf(c_0_39,negated_conjecture,
    hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,esk22_1(v_p))) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_38])]) ).

cnf(c_0_40,negated_conjecture,
    hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_18])]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW189+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n002.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 09:43:02 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.43  Running first-order theorem proving
% 0.09/0.43  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 51.15/8.18  % Version: 3.5.1
% 51.15/8.18  % Preprocessing class: FMLMSMSSSSSNFFN.
% 51.15/8.18  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.15/8.18  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 51.15/8.18  % Starting new_bool_3 with 300s (1) cores
% 51.15/8.18  % Starting new_bool_1 with 300s (1) cores
% 51.15/8.18  % Starting sh5l with 300s (1) cores
% 51.15/8.18  % G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with pid 2994348 completed with status 0
% 51.15/8.18  % Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 51.15/8.18  % Preprocessing class: FMLMSMSSSSSNFFN.
% 51.15/8.18  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.15/8.18  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 51.15/8.18  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 51.15/8.18  % No SInE strategy applied
% 51.15/8.18  % Search class: FGHSM-SMLM32-DFFFFFNN
% 51.15/8.18  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 51.15/8.18  % Starting SubtermCWHack with 136s (1) cores
% 51.15/8.18  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 51.15/8.18  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 51.15/8.18  % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 51.15/8.18  % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 51.15/8.18  % G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with pid 2994355 completed with status 0
% 51.15/8.18  % Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 51.15/8.18  % Preprocessing class: FMLMSMSSSSSNFFN.
% 51.15/8.18  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 51.15/8.18  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 51.15/8.18  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 51.15/8.18  % No SInE strategy applied
% 51.15/8.18  % Search class: FGHSM-SMLM32-DFFFFFNN
% 51.15/8.18  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 51.15/8.18  % Starting SubtermCWHack with 136s (1) cores
% 51.15/8.18  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 51.15/8.18  % Preprocessing time       : 0.021 s
% 51.15/8.18  
% 51.15/8.18  % Proof found!
% 51.15/8.18  % SZS status Theorem
% 51.15/8.18  % SZS output start CNFRefutation
% See solution above
% 51.15/8.18  % Parsed axioms                        : 1150
% 51.15/8.18  % Removed by relevancy pruning/SinE    : 0
% 51.15/8.18  % Initial clauses                      : 1634
% 51.15/8.18  % Removed in clause preprocessing      : 91
% 51.15/8.18  % Initial clauses in saturation        : 1543
% 51.15/8.18  % Processed clauses                    : 47134
% 51.15/8.18  % ...of these trivial                  : 585
% 51.15/8.18  % ...subsumed                          : 42391
% 51.15/8.18  % ...remaining for further processing  : 4158
% 51.15/8.18  % Other redundant clauses eliminated   : 4245
% 51.15/8.18  % Clauses deleted for lack of memory   : 0
% 51.15/8.18  % Backward-subsumed                    : 153
% 51.15/8.18  % Backward-rewritten                   : 174
% 51.15/8.18  % Generated clauses                    : 421548
% 51.15/8.18  % ...of the previous two non-redundant : 385198
% 51.15/8.18  % ...aggressively subsumed             : 0
% 51.15/8.18  % Contextual simplify-reflections      : 34
% 51.15/8.18  % Paramodulations                      : 416820
% 51.15/8.18  % Factorizations                       : 18
% 51.15/8.18  % NegExts                              : 0
% 51.15/8.18  % Equation resolutions                 : 4710
% 51.15/8.18  % Disequality decompositions           : 0
% 51.15/8.18  % Total rewrite steps                  : 455480
% 51.15/8.18  % ...of those cached                   : 445118
% 51.15/8.18  % Propositional unsat checks           : 0
% 51.15/8.18  %    Propositional check models        : 0
% 51.15/8.18  %    Propositional check unsatisfiable : 0
% 51.15/8.18  %    Propositional clauses             : 0
% 51.15/8.18  %    Propositional clauses after purity: 0
% 51.15/8.18  %    Propositional unsat core size     : 0
% 51.15/8.18  %    Propositional preprocessing time  : 0.000
% 51.15/8.18  %    Propositional encoding time       : 0.000
% 51.15/8.18  %    Propositional solver time         : 0.000
% 51.15/8.18  %    Success case prop preproc time    : 0.000
% 51.15/8.18  %    Success case prop encoding time   : 0.000
% 51.15/8.18  %    Success case prop solver time     : 0.000
% 51.15/8.18  % Current number of processed clauses  : 3791
% 51.15/8.18  %    Positive orientable unit clauses  : 332
% 51.15/8.18  %    Positive unorientable unit clauses: 10
% 51.15/8.18  %    Negative unit clauses             : 76
% 51.15/8.18  %    Non-unit-clauses                  : 3373
% 51.15/8.18  % Current number of unprocessed clauses: 338872
% 51.15/8.18  % ...number of literals in the above   : 1162051
% 51.15/8.18  % Current number of archived formulas  : 0
% 51.15/8.18  % Current number of archived clauses   : 328
% 51.15/8.18  % Clause-clause subsumption calls (NU) : 1237319
% 51.15/8.18  % Rec. Clause-clause subsumption calls : 986190
% 51.15/8.18  % Non-unit clause-clause subsumptions  : 36219
% 51.15/8.18  % Unit Clause-clause subsumption calls : 12041
% 51.15/8.18  % Rewrite failures with RHS unbound    : 0
% 51.15/8.18  % BW rewrite match attempts            : 7682
% 51.15/8.18  % BW rewrite match successes           : 282
% 51.15/8.18  % Condensation attempts                : 0
% 51.15/8.18  % Condensation successes               : 0
% 51.15/8.18  % Termbank termtop insertions          : 6893125
% 51.15/8.18  % Search garbage collected termcells   : 22434
% 51.15/8.18  
% 51.15/8.18  % -------------------------------------------------
% 51.15/8.18  % User time                : 7.220 s
% 51.15/8.18  % System time              : 0.231 s
% 51.15/8.18  % Total time               : 7.451 s
% 51.15/8.18  % Maximum resident set size: 10104 pages
% 51.15/8.18  
% 51.15/8.18  % -------------------------------------------------
% 51.15/8.18  % User time                : 35.507 s
% 51.15/8.18  % System time              : 1.195 s
% 51.15/8.18  % Total time               : 36.702 s
% 51.15/8.18  % Maximum resident set size: 6144 pages
% 51.15/8.18  % E exiting
%------------------------------------------------------------------------------