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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : HAL001+2 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:45:14 PM UTC 2026

% Result   : Theorem 62.91s 9.67s
% Output   : CNFRefutation 62.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   80 (  46 unt;   0 def)
%            Number of atoms       :  217 (  57 equ)
%            Maximal formula atoms :   24 (   2 avg)
%            Number of connectives :  246 ( 109   ~; 108   |;  19   &)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :   17 (  17 usr;  13 con; 0-6 aty)
%            Number of variables   :  128 (   0 sgn  55   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(commute_properties,axiom,
    ! [X13,X14,X15,X16,X2,X17,X18,X3] :
      ( ( morphism(X16,X18,X3)
        & morphism(X15,X2,X18)
        & morphism(X14,X17,X3)
        & morphism(X13,X2,X17)
        & commute(X13,X14,X15,X16) )
     => ! [X8] :
          ( element(X8,X2)
         => apply(X14,apply(X13,X8)) = apply(X16,apply(X15,X8)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax',commute_properties) ).

fof(g_injection,conjecture,
    injection(g),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_injection) ).

fof(beta_h_g_delta_commute,axiom,
    commute(beta,h,g,delta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_h_g_delta_commute) ).

fof(delta_morphism,axiom,
    morphism(delta,e,r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',delta_morphism) ).

fof(properties_for_injection_2,axiom,
    ! [X1,X2,X3] :
      ( ( ! [X4] :
            ( ( apply(X1,X4) = zero(X3)
              & element(X4,X2) )
           => X4 = zero(X2) )
        & morphism(X1,X2,X3) )
     => injection(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',properties_for_injection_2) ).

fof(morphism,axiom,
    ! [X1,X2,X3] :
      ( morphism(X1,X2,X3)
     => ( apply(X1,zero(X2)) = zero(X3)
        & ! [X4] :
            ( element(X4,X2)
           => element(apply(X1,X4),X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax',morphism) ).

fof(exact_properties,axiom,
    ! [X9,X10,X2,X11,X3] :
      ( ( morphism(X10,X11,X3)
        & morphism(X9,X2,X11)
        & exact(X9,X10) )
     => ! [X12] :
          ( ( apply(X10,X12) = zero(X3)
            & element(X12,X11) )
        <=> ? [X8] :
              ( apply(X9,X8) = X12
              & element(X8,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HAL001+0.ax',exact_properties) ).

fof(injection_properties_2,axiom,
    ! [X1,X2,X3] :
      ( ( morphism(X1,X2,X3)
        & injection(X1) )
     => ! [X4] :
          ( ( apply(X1,X4) = zero(X3)
            & element(X4,X2) )
         => X4 = zero(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',injection_properties_2) ).

fof(beta_morphism,axiom,
    morphism(beta,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_morphism) ).

fof(g_morphism,axiom,
    morphism(g,b,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_morphism) ).

fof(h_morphism,axiom,
    morphism(h,c,r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_morphism) ).

fof(alpha_g_f_gamma_commute,axiom,
    commute(alpha,g,f,gamma),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',alpha_g_f_gamma_commute) ).

fof(h_injection,hypothesis,
    injection(h),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_injection) ).

fof(gamma_morphism,axiom,
    morphism(gamma,d,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gamma_morphism) ).

fof(alpha_morphism,axiom,
    morphism(alpha,a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',alpha_morphism) ).

fof(alpha_beta_exact,axiom,
    exact(alpha,beta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',alpha_beta_exact) ).

fof(f_morphism,axiom,
    morphism(f,a,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_morphism) ).

fof(gamma_injection,axiom,
    injection(gamma),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gamma_injection) ).

fof(f_injection,hypothesis,
    injection(f),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_injection) ).

fof(c_0_19,plain,
    ! [X60,X61,X62,X63,X64,X65,X66,X67,X68] :
      ( apply(X61,apply(X60,X68)) = apply(X63,apply(X62,X68))
      | ~ element(X68,X64)
      | ~ morphism(X63,X66,X67)
      | ~ morphism(X62,X64,X66)
      | ~ morphism(X61,X65,X67)
      | ~ morphism(X60,X64,X65)
      | ~ commute(X60,X61,X62,X63) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commute_properties])])])]) ).

fof(c_0_20,negated_conjecture,
    ~ injection(g),
    inference(assume_negation,[status(cth)],[g_injection]) ).

cnf(c_0_21,plain,
    ( ~ element(X9,X5)
    | ~ morphism(X4,X8,X7)
    | ~ morphism(X3,X5,X8)
    | ~ morphism(X2,X6,X7)
    | ~ morphism(X1,X5,X6)
    | ~ commute(X1,X2,X3,X4)
    | apply(X2,apply(X1,X9)) = apply(X4,apply(X3,X9)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,plain,
    commute(beta,h,g,delta),
    inference(split_conjunct,[status(thm)],[beta_h_g_delta_commute]) ).

fof(c_0_23,negated_conjecture,
    ~ injection(g),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

cnf(c_0_24,plain,
    ( ~ morphism(beta,X2,X5)
    | ~ morphism(h,X5,X4)
    | ~ morphism(g,X2,X3)
    | ~ morphism(delta,X3,X4)
    | ~ element(X1,X2)
    | apply(h,apply(beta,X1)) = apply(delta,apply(g,X1)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,plain,
    morphism(delta,e,r),
    inference(split_conjunct,[status(thm)],[delta_morphism]) ).

fof(c_0_26,plain,
    ! [X95,X96,X97] :
      ( ( injection(X95)
        | ~ morphism(X95,X96,X97)
        | esk9_3(X95,X96,X97) != zero(X96) )
      & ( injection(X95)
        | ~ morphism(X95,X96,X97)
        | apply(X95,esk9_3(X95,X96,X97)) = zero(X97) )
      & ( injection(X95)
        | ~ morphism(X95,X96,X97)
        | element(esk9_3(X95,X96,X97),X96) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[properties_for_injection_2])])])])])])]) ).

fof(c_0_27,negated_conjecture,
    ~ injection(g),
    inference(fof_nnf,[status(thm)],[c_0_23]) ).

fof(c_0_28,plain,
    ! [X19,X20,X21,X22] :
      ( ( ~ morphism(X19,X20,X21)
        | apply(X19,zero(X20)) = zero(X21) )
      & ( ~ morphism(X19,X20,X21)
        | element(apply(X19,X22),X21)
        | ~ element(X22,X20) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[morphism])])])])]) ).

fof(c_0_29,plain,
    ! [X43,X44,X45,X46,X47,X48,X50,X51] :
      ( ( ~ morphism(X44,X46,X47)
        | ~ morphism(X43,X45,X46)
        | ~ exact(X43,X44)
        | apply(X43,X51) != X50
        | ~ element(X51,X45)
        | apply(X44,X50) = zero(X47) )
      & ( ~ morphism(X44,X46,X47)
        | ~ morphism(X43,X45,X46)
        | ~ exact(X43,X44)
        | apply(X43,X51) != X50
        | ~ element(X51,X45)
        | element(X50,X46) )
      & ( ~ morphism(X44,X46,X47)
        | ~ morphism(X43,X45,X46)
        | ~ exact(X43,X44)
        | apply(X44,X48) != zero(X47)
        | ~ element(X48,X46)
        | apply(X43,esk5_6(X43,X44,X45,X46,X47,X48)) = X48 )
      & ( ~ morphism(X44,X46,X47)
        | ~ morphism(X43,X45,X46)
        | ~ exact(X43,X44)
        | apply(X44,X48) != zero(X47)
        | ~ element(X48,X46)
        | element(esk5_6(X43,X44,X45,X46,X47,X48),X45) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[exact_properties])])])])])])]) ).

fof(c_0_30,plain,
    ! [X91,X92,X93,X94] :
      ( X94 = zero(X92)
      | apply(X91,X94) != zero(X93)
      | ~ element(X94,X92)
      | ~ morphism(X91,X92,X93)
      | ~ injection(X91) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[injection_properties_2])])])]) ).

cnf(c_0_31,plain,
    ( ~ morphism(beta,X2,X3)
    | ~ morphism(h,X3,r)
    | ~ morphism(g,X2,e)
    | ~ element(X1,X2)
    | apply(h,apply(beta,X1)) = apply(delta,apply(g,X1)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,plain,
    morphism(beta,b,c),
    inference(split_conjunct,[status(thm)],[beta_morphism]) ).

cnf(c_0_33,plain,
    morphism(g,b,e),
    inference(split_conjunct,[status(thm)],[g_morphism]) ).

cnf(c_0_34,plain,
    morphism(h,c,r),
    inference(split_conjunct,[status(thm)],[h_morphism]) ).

cnf(c_0_35,plain,
    ( ~ morphism(X1,X2,X3)
    | injection(X1)
    | element(esk9_3(X1,X2,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36,negated_conjecture,
    ~ injection(g),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_37,plain,
    ( ~ morphism(X1,X2,X3)
    | injection(X1)
    | apply(X1,esk9_3(X1,X2,X3)) = zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,plain,
    ( ~ morphism(X1,X2,X3)
    | apply(X1,zero(X2)) = zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_39,plain,
    ( ~ morphism(X3,X2,X4)
    | ~ element(X1,X2)
    | element(apply(X3,X1),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_40,plain,
    commute(alpha,g,f,gamma),
    inference(split_conjunct,[status(thm)],[alpha_g_f_gamma_commute]) ).

cnf(c_0_41,plain,
    ( ~ morphism(X2,X4,X5)
    | ~ morphism(X1,X3,X4)
    | ~ exact(X1,X2)
    | apply(X2,X6) != zero(X5)
    | ~ element(X6,X4)
    | element(esk5_6(X1,X2,X3,X4,X5,X6),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_42,plain,
    ( apply(X1,X4) != zero(X3)
    | ~ element(X4,X2)
    | ~ morphism(X1,X2,X3)
    | ~ injection(X1)
    | X4 = zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_43,hypothesis,
    injection(h),
    inference(split_conjunct,[status(thm)],[h_injection]) ).

cnf(c_0_44,plain,
    ( ~ element(X1,b)
    | apply(h,apply(beta,X1)) = apply(delta,apply(g,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).

cnf(c_0_45,plain,
    element(esk9_3(g,b,e),b),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_36]) ).

cnf(c_0_46,plain,
    apply(g,esk9_3(g,b,e)) = zero(e),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_36]) ).

cnf(c_0_47,plain,
    apply(delta,zero(e)) = zero(r),
    inference(spm,[status(thm)],[c_0_38,c_0_25]) ).

cnf(c_0_48,plain,
    ( ~ element(X1,b)
    | element(apply(beta,X1),c) ),
    inference(spm,[status(thm)],[c_0_39,c_0_32]) ).

cnf(c_0_49,plain,
    ( ~ morphism(X2,X4,X5)
    | ~ morphism(X1,X3,X4)
    | ~ exact(X1,X2)
    | apply(X2,X6) != zero(X5)
    | ~ element(X6,X4)
    | apply(X1,esk5_6(X1,X2,X3,X4,X5,X6)) = X6 ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_50,plain,
    ( ~ morphism(alpha,X2,X5)
    | ~ morphism(g,X5,X4)
    | ~ morphism(f,X2,X3)
    | ~ morphism(gamma,X3,X4)
    | ~ element(X1,X2)
    | apply(gamma,apply(f,X1)) = apply(g,apply(alpha,X1)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_40]) ).

cnf(c_0_51,plain,
    morphism(gamma,d,e),
    inference(split_conjunct,[status(thm)],[gamma_morphism]) ).

cnf(c_0_52,plain,
    ( ~ morphism(X1,X2,b)
    | ~ element(X3,b)
    | ~ exact(X1,beta)
    | apply(beta,X3) != zero(c)
    | element(esk5_6(X1,beta,X2,b,c,X3),X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_32]) ).

cnf(c_0_53,plain,
    morphism(alpha,a,b),
    inference(split_conjunct,[status(thm)],[alpha_morphism]) ).

cnf(c_0_54,plain,
    exact(alpha,beta),
    inference(split_conjunct,[status(thm)],[alpha_beta_exact]) ).

cnf(c_0_55,plain,
    ( ~ element(X1,c)
    | apply(h,X1) != zero(r)
    | X1 = zero(c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_34]),c_0_43])]) ).

cnf(c_0_56,plain,
    apply(h,apply(beta,esk9_3(g,b,e))) = zero(r),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]) ).

cnf(c_0_57,plain,
    element(apply(beta,esk9_3(g,b,e)),c),
    inference(spm,[status(thm)],[c_0_48,c_0_45]) ).

cnf(c_0_58,plain,
    ( ~ morphism(X1,X2,b)
    | ~ element(X3,b)
    | ~ exact(X1,beta)
    | apply(beta,X3) != zero(c)
    | apply(X1,esk5_6(X1,beta,X2,b,c,X3)) = X3 ),
    inference(spm,[status(thm)],[c_0_49,c_0_32]) ).

cnf(c_0_59,plain,
    ( ~ morphism(alpha,X2,X3)
    | ~ morphism(g,X3,e)
    | ~ morphism(f,X2,d)
    | ~ element(X1,X2)
    | apply(gamma,apply(f,X1)) = apply(g,apply(alpha,X1)) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_60,plain,
    morphism(f,a,d),
    inference(split_conjunct,[status(thm)],[f_morphism]) ).

cnf(c_0_61,plain,
    ( ~ element(X1,b)
    | apply(beta,X1) != zero(c)
    | element(esk5_6(alpha,beta,a,b,c,X1),a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).

cnf(c_0_62,plain,
    apply(beta,esk9_3(g,b,e)) = zero(c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).

cnf(c_0_63,plain,
    ( ~ element(X1,b)
    | apply(beta,X1) != zero(c)
    | apply(alpha,esk5_6(alpha,beta,a,b,c,X1)) = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_53]),c_0_54])]) ).

cnf(c_0_64,plain,
    injection(gamma),
    inference(split_conjunct,[status(thm)],[gamma_injection]) ).

cnf(c_0_65,plain,
    ( ~ element(X1,a)
    | apply(gamma,apply(f,X1)) = apply(g,apply(alpha,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_53]),c_0_60]),c_0_33])]) ).

cnf(c_0_66,plain,
    element(esk5_6(alpha,beta,a,b,c,esk9_3(g,b,e)),a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_45])]) ).

cnf(c_0_67,plain,
    apply(alpha,esk5_6(alpha,beta,a,b,c,esk9_3(g,b,e))) = esk9_3(g,b,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_62]),c_0_45])]) ).

cnf(c_0_68,plain,
    ( ~ element(X1,a)
    | element(apply(f,X1),d) ),
    inference(spm,[status(thm)],[c_0_39,c_0_60]) ).

cnf(c_0_69,hypothesis,
    injection(f),
    inference(split_conjunct,[status(thm)],[f_injection]) ).

cnf(c_0_70,plain,
    ( ~ element(X1,d)
    | apply(gamma,X1) != zero(e)
    | X1 = zero(d) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_51]),c_0_64])]) ).

cnf(c_0_71,plain,
    apply(gamma,apply(f,esk5_6(alpha,beta,a,b,c,esk9_3(g,b,e)))) = zero(e),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_46]) ).

cnf(c_0_72,plain,
    element(apply(f,esk5_6(alpha,beta,a,b,c,esk9_3(g,b,e))),d),
    inference(spm,[status(thm)],[c_0_68,c_0_66]) ).

cnf(c_0_73,plain,
    ( ~ element(X1,a)
    | apply(f,X1) != zero(d)
    | X1 = zero(a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_60]),c_0_69])]) ).

cnf(c_0_74,plain,
    apply(f,esk5_6(alpha,beta,a,b,c,esk9_3(g,b,e))) = zero(d),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).

cnf(c_0_75,plain,
    ( ~ morphism(X1,X2,X3)
    | esk9_3(X1,X2,X3) != zero(X2)
    | injection(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_76,plain,
    esk5_6(alpha,beta,a,b,c,esk9_3(g,b,e)) = zero(a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_66])]) ).

cnf(c_0_77,plain,
    apply(alpha,zero(a)) = zero(b),
    inference(spm,[status(thm)],[c_0_38,c_0_53]) ).

cnf(c_0_78,plain,
    esk9_3(g,b,e) != zero(b),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_33]),c_0_36]) ).

cnf(c_0_79,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_76]),c_0_77]),c_0_78]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HAL001+2 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39  % Computer : n009.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8046.5625MB
% 0.14/0.39  % OS       : Linux 6.8.0-71-generic
% 0.14/0.39  % CPULimit : 300
% 0.14/0.39  % WCLimit  : 300
% 0.14/0.39  % DateTime : Sun Sep 20 20:44:12 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.40  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.45  Running first-order theorem proving
% 0.14/0.45  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
% 62.91/9.67  % Version: 3.5.1
% 62.91/9.67  % Preprocessing class: FSMSSMSMSSSNFFN.
% 62.91/9.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.91/9.67  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 62.91/9.67  % Starting new_bool_3 with 300s (1) cores
% 62.91/9.67  % Starting new_bool_1 with 300s (1) cores
% 62.91/9.67  % Starting sh5l with 300s (1) cores
% 62.91/9.67  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 24841 completed with status 0
% 62.91/9.67  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 62.91/9.67  % Preprocessing class: FSMSSMSMSSSNFFN.
% 62.91/9.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.91/9.67  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 62.91/9.67  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 62.91/9.67  % No SInE strategy applied
% 62.91/9.67  % Search class: FGUSF-FFMM33-MFFFFFNN
% 62.91/9.67  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 62.91/9.67  % Starting SubtermCWHack with 136s (1) cores
% 62.91/9.67  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 62.91/9.67  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_RG_S2sX with 254s (1) cores
% 62.91/9.67  % Starting new_bool_3 with 254s (1) cores
% 62.91/9.67  % Starting new_bool_1 with 254s (1) cores
% 62.91/9.67  % G-E--_208_C18_F1_SE_CS_SP_PS_RG_S2sX with pid 24848 completed with status 0
% 62.91/9.67  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_RG_S2sX
% 62.91/9.67  % Preprocessing class: FSMSSMSMSSSNFFN.
% 62.91/9.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.91/9.67  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 62.91/9.67  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 62.91/9.67  % No SInE strategy applied
% 62.91/9.67  % Search class: FGUSF-FFMM33-MFFFFFNN
% 62.91/9.67  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 62.91/9.67  % Starting SubtermCWHack with 136s (1) cores
% 62.91/9.67  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 62.91/9.67  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_RG_S2sX with 254s (1) cores
% 62.91/9.67  % Preprocessing time       : 0.002 s
% 62.91/9.67  % Presaturation interreduction done
% 62.91/9.67  
% 62.91/9.67  % Proof found!
% 62.91/9.67  % SZS status Theorem
% 62.91/9.67  % SZS output start CNFRefutation
% See solution above
% 62.91/9.67  % Parsed axioms                        : 33
% 62.91/9.67  % Removed by relevancy pruning/SinE    : 0
% 62.91/9.67  % Initial clauses                      : 49
% 62.91/9.67  % Removed in clause preprocessing      : 0
% 62.91/9.67  % Initial clauses in saturation        : 49
% 62.91/9.67  % Processed clauses                    : 7219
% 62.91/9.67  % ...of these trivial                  : 632
% 62.91/9.67  % ...subsumed                          : 263
% 62.91/9.67  % ...remaining for further processing  : 6324
% 62.91/9.67  % Other redundant clauses eliminated   : 2
% 62.91/9.67  % Clauses deleted for lack of memory   : 0
% 62.91/9.67  % Backward-subsumed                    : 817
% 62.91/9.67  % Backward-rewritten                   : 218
% 62.91/9.67  % Generated clauses                    : 503892
% 62.91/9.67  % ...of the previous two non-redundant : 502252
% 62.91/9.67  % ...aggressively subsumed             : 0
% 62.91/9.67  % Contextual simplify-reflections      : 7
% 62.91/9.67  % Paramodulations                      : 503549
% 62.91/9.67  % Factorizations                       : 0
% 62.91/9.67  % NegExts                              : 0
% 62.91/9.67  % Equation resolutions                 : 13
% 62.91/9.67  % Disequality decompositions           : 0
% 62.91/9.67  % Total rewrite steps                  : 51335
% 62.91/9.67  % ...of those cached                   : 50834
% 62.91/9.67  % Propositional unsat checks           : 0
% 62.91/9.67  %    Propositional check models        : 0
% 62.91/9.67  %    Propositional check unsatisfiable : 0
% 62.91/9.67  %    Propositional clauses             : 0
% 62.91/9.67  %    Propositional clauses after purity: 0
% 62.91/9.67  %    Propositional unsat core size     : 0
% 62.91/9.67  %    Propositional preprocessing time  : 0.000
% 62.91/9.67  %    Propositional encoding time       : 0.000
% 62.91/9.67  %    Propositional solver time         : 0.000
% 62.91/9.67  %    Success case prop preproc time    : 0.000
% 62.91/9.67  %    Success case prop encoding time   : 0.000
% 62.91/9.67  %    Success case prop solver time     : 0.000
% 62.91/9.67  % Current number of processed clauses  : 4909
% 62.91/9.67  %    Positive orientable unit clauses  : 860
% 62.91/9.67  %    Positive unorientable unit clauses: 0
% 62.91/9.67  %    Negative unit clauses             : 4
% 62.91/9.67  %    Non-unit-clauses                  : 4045
% 62.91/9.67  % Current number of unprocessed clauses: 494675
% 62.91/9.67  % ...number of literals in the above   : 859377
% 62.91/9.67  % Current number of archived formulas  : 0
% 62.91/9.67  % Current number of archived clauses   : 1413
% 62.91/9.67  % Clause-clause subsumption calls (NU) : 771135
% 62.91/9.67  % Rec. Clause-clause subsumption calls : 610288
% 62.91/9.67  % Non-unit clause-clause subsumptions  : 1040
% 62.91/9.67  % Unit Clause-clause subsumption calls : 98669
% 62.91/9.67  % Rewrite failures with RHS unbound    : 0
% 62.91/9.67  % BW rewrite match attempts            : 34930
% 62.91/9.67  % BW rewrite match successes           : 74
% 62.91/9.67  % Condensation attempts                : 0
% 62.91/9.67  % Condensation successes               : 0
% 62.91/9.67  % Termbank termtop insertions          : 16797901
% 62.91/9.67  % Search garbage collected termcells   : 1000
% 62.91/9.67  
% 62.91/9.67  % -------------------------------------------------
% 62.91/9.67  % User time                : 8.426 s
% 62.91/9.67  % System time              : 0.364 s
% 62.91/9.67  % Total time               : 8.790 s
% 62.91/9.67  % Maximum resident set size: 3672 pages
% 62.91/9.67  
% 62.91/9.67  % -------------------------------------------------
% 62.91/9.67  % User time                : 43.042 s
% 62.91/9.67  % System time              : 1.691 s
% 62.91/9.67  % Total time               : 44.733 s
% 62.91/9.67  % Maximum resident set size: 4608 pages
% 62.91/9.67  % E exiting
%------------------------------------------------------------------------------