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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : MGT061+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 01:26:58 PM UTC 2026

% Result   : Theorem 0.11s 0.44s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   77 (  19 unt;   0 def)
%            Number of atoms       :  302 (  50 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  348 ( 123   ~; 110   |;  76   &)
%                                         (   8 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  11 con; 0-2 aty)
%            Number of variables   :  122 (   7 sgn  68   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(theorem_7,conjecture,
    ! [X1,X5,X6,X7] :
      ( ( greater(age(X1,X7),sigma)
        & smaller_or_equal(age(X1,X6),sigma)
        & greater(sigma,zero)
        & age(X1,X5) = zero
        & ~ has_endowment(X1)
        & fragile_position(X1)
        & organization(X1) )
     => ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
        & greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7) ).

fof(assumption_13,axiom,
    ! [X1,X4] :
      ( ( age(X1,X4) = zero
        & organization(X1) )
     => is_aligned(X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).

fof(assumption_17,axiom,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( ~ has_immunity(X1,X4)
         => ( ( ( ~ positional_advantage(X1,X4)
                & ~ is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = high )
            & ( ( ~ positional_advantage(X1,X4)
                & is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod2 )
            & ( ( positional_advantage(X1,X4)
                & ~ is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod1 )
            & ( ( positional_advantage(X1,X4)
                & is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = low ) ) )
        & ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).

fof(assumption_15,axiom,
    ! [X1,X5,X4] :
      ( ( age(X1,X5) = zero
        & organization(X1) )
     => ( greater(age(X1,X4),sigma)
      <=> dissimilar(X1,X5,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).

fof(definition_2,axiom,
    ! [X1,X5,X4] :
      ( dissimilar(X1,X5,X4)
    <=> ( ~ ( is_aligned(X1,X5)
          <=> is_aligned(X1,X4) )
        & organization(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).

fof(assumption_1,axiom,
    ! [X1,X4] :
      ( ( ~ has_endowment(X1)
        & organization(X1) )
     => ~ has_immunity(X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).

fof(definition_3,axiom,
    ! [X1] :
      ( fragile_position(X1)
    <=> ! [X4] :
          ( ( greater(age(X1,X4),sigma)
           => ~ positional_advantage(X1,X4) )
          & ( smaller_or_equal(age(X1,X4),sigma)
           => positional_advantage(X1,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3) ).

fof(meaning_postulate_greater_transitive,axiom,
    ! [X1,X2,X3] :
      ( ( greater(X2,X3)
        & greater(X1,X2) )
     => greater(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).

fof(assumption_18e,axiom,
    greater(mod2,low),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).

fof(definition_smaller_or_equal,axiom,
    ! [X1,X2] :
      ( smaller_or_equal(X1,X2)
    <=> ( X1 = X2
        | smaller(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).

fof(definition_smaller,axiom,
    ! [X1,X2] :
      ( smaller(X1,X2)
    <=> greater(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).

fof(assumption_18d,axiom,
    greater(high,mod2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1,X5,X6,X7] :
        ( ( greater(age(X1,X7),sigma)
          & smaller_or_equal(age(X1,X6),sigma)
          & greater(sigma,zero)
          & age(X1,X5) = zero
          & ~ has_endowment(X1)
          & fragile_position(X1)
          & organization(X1) )
       => ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
          & greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ) ),
    inference(assume_negation,[status(cth)],[theorem_7]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1,X5,X6,X7] :
        ( ( greater(age(X1,X7),sigma)
          & smaller_or_equal(age(X1,X6),sigma)
          & greater(sigma,zero)
          & age(X1,X5) = zero
          & ~ has_endowment(X1)
          & fragile_position(X1)
          & organization(X1) )
       => ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
          & greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_14,plain,
    ! [X1,X4] :
      ( epred1_2(X4,X1)
    <=> ( ( ( ~ positional_advantage(X1,X4)
            & ~ is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = high )
        & ( ( ~ positional_advantage(X1,X4)
            & is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod2 )
        & ( ( positional_advantage(X1,X4)
            & ~ is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod1 )
        & ( ( positional_advantage(X1,X4)
            & is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = low ) ) ),
    introduced(definition) ).

fof(c_0_15,plain,
    ! [X26,X27] :
      ( is_aligned(X26,X27)
      | age(X26,X27) != zero
      | ~ organization(X26) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])])]) ).

fof(c_0_16,negated_conjecture,
    ( ( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
      | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) )
    & greater(age(esk3_0,esk6_0),sigma)
    & smaller_or_equal(age(esk3_0,esk5_0),sigma)
    & greater(sigma,zero)
    & age(esk3_0,esk4_0) = zero
    & ~ has_endowment(esk3_0)
    & fragile_position(esk3_0)
    & organization(esk3_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

fof(c_0_17,plain,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( ~ has_immunity(X1,X4)
         => epred1_2(X4,X1) )
        & ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_17]),c_0_14]) ).

fof(c_0_18,plain,
    ! [X28,X29,X30] :
      ( ( age(X28,X29) != zero
        | ~ organization(X28)
        | greater(age(X28,X30),sigma)
        | ~ dissimilar(X28,X29,X30) )
      & ( age(X28,X29) != zero
        | ~ organization(X28)
        | dissimilar(X28,X29,X30)
        | ~ greater(age(X28,X30),sigma) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])])]) ).

fof(c_0_19,plain,
    ! [X23,X24,X25] :
      ( ( dissimilar(X23,X24,X25)
        | ~ organization(X23)
        | is_aligned(X23,X24)
        | ~ is_aligned(X23,X25) )
      & ( dissimilar(X23,X24,X25)
        | ~ organization(X23)
        | is_aligned(X23,X25)
        | ~ is_aligned(X23,X24) )
      & ( ~ dissimilar(X23,X24,X25)
        | is_aligned(X23,X25)
        | is_aligned(X23,X24) )
      & ( ~ dissimilar(X23,X24,X25)
        | ~ is_aligned(X23,X25)
        | ~ is_aligned(X23,X24) )
      & ( ~ dissimilar(X23,X24,X25)
        | organization(X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])]) ).

cnf(c_0_20,plain,
    ( age(X1,X2) != zero
    | ~ organization(X1)
    | is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    age(esk3_0,esk4_0) = zero,
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    organization(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_23,plain,
    ! [X1,X4] :
      ( ( ~ has_endowment(X1)
        & organization(X1) )
     => ~ has_immunity(X1,X4) ),
    inference(fof_simplification,[status(thm)],[assumption_1]) ).

fof(c_0_24,plain,
    ! [X37,X38] :
      ( ( ~ organization(X37)
        | epred1_2(X38,X37)
        | has_immunity(X37,X38) )
      & ( ~ organization(X37)
        | hazard_of_mortality(X37,X38) = very_low
        | ~ has_immunity(X37,X38) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).

fof(c_0_25,plain,
    ! [X1] :
      ( fragile_position(X1)
    <=> ! [X4] :
          ( ( greater(age(X1,X4),sigma)
           => ~ positional_advantage(X1,X4) )
          & ( smaller_or_equal(age(X1,X4),sigma)
           => positional_advantage(X1,X4) ) ) ),
    inference(fof_simplification,[status(thm)],[definition_3]) ).

cnf(c_0_26,plain,
    ( age(X1,X2) != zero
    | ~ organization(X1)
    | ~ dissimilar(X1,X2,X3)
    | greater(age(X1,X3),sigma) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,plain,
    ( ~ dissimilar(X1,X2,X3)
    | organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ( ~ organization(X1)
    | ~ is_aligned(X1,X2)
    | dissimilar(X1,X2,X3)
    | is_aligned(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,negated_conjecture,
    is_aligned(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

fof(c_0_30,plain,
    ! [X1,X4] :
      ( epred1_2(X4,X1)
     => ( ( ( ~ positional_advantage(X1,X4)
            & ~ is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = high )
        & ( ( ~ positional_advantage(X1,X4)
            & is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod2 )
        & ( ( positional_advantage(X1,X4)
            & ~ is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod1 )
        & ( ( positional_advantage(X1,X4)
            & is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = low ) ) ),
    inference(split_equiv,[status(thm)],[c_0_14]) ).

fof(c_0_31,plain,
    ! [X21,X22] :
      ( ~ has_immunity(X21,X22)
      | has_endowment(X21)
      | ~ organization(X21) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).

cnf(c_0_32,plain,
    ( ~ organization(X1)
    | epred1_2(X2,X1)
    | has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_33,plain,
    ! [X31,X32,X33,X34] :
      ( ( fragile_position(X34)
        | ~ positional_advantage(X34,esk1_1(X34))
        | positional_advantage(X34,esk2_1(X34)) )
      & ( fragile_position(X34)
        | ~ positional_advantage(X34,esk1_1(X34))
        | greater(age(X34,esk2_1(X34)),sigma) )
      & ( fragile_position(X34)
        | smaller_or_equal(age(X34,esk1_1(X34)),sigma)
        | positional_advantage(X34,esk2_1(X34)) )
      & ( fragile_position(X34)
        | smaller_or_equal(age(X34,esk1_1(X34)),sigma)
        | greater(age(X34,esk2_1(X34)),sigma) )
      & ( ~ fragile_position(X31)
        | ~ positional_advantage(X31,X33)
        | ~ greater(age(X31,X33),sigma) )
      & ( ~ fragile_position(X31)
        | positional_advantage(X31,X32)
        | ~ smaller_or_equal(age(X31,X32),sigma) ) ),
    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)],[c_0_25])])])])])])]) ).

cnf(c_0_34,plain,
    ( ~ dissimilar(X1,X3,X2)
    | age(X1,X3) != zero
    | greater(age(X1,X2),sigma) ),
    inference(csr,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_35,negated_conjecture,
    ( dissimilar(esk3_0,esk4_0,X1)
    | is_aligned(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_22])]) ).

fof(c_0_36,plain,
    ! [X43,X44] :
      ( ( ~ epred1_2(X44,X43)
        | hazard_of_mortality(X43,X44) = high
        | positional_advantage(X43,X44)
        | is_aligned(X43,X44) )
      & ( ~ epred1_2(X44,X43)
        | hazard_of_mortality(X43,X44) = mod2
        | positional_advantage(X43,X44)
        | ~ is_aligned(X43,X44) )
      & ( ~ epred1_2(X44,X43)
        | hazard_of_mortality(X43,X44) = mod1
        | ~ positional_advantage(X43,X44)
        | is_aligned(X43,X44) )
      & ( ~ epred1_2(X44,X43)
        | hazard_of_mortality(X43,X44) = low
        | ~ positional_advantage(X43,X44)
        | ~ is_aligned(X43,X44) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).

cnf(c_0_37,plain,
    ( ~ has_immunity(X1,X2)
    | ~ organization(X1)
    | has_endowment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    ( has_immunity(esk3_0,X1)
    | epred1_2(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_22]) ).

cnf(c_0_39,negated_conjecture,
    ~ has_endowment(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_40,plain,
    ( ~ fragile_position(X1)
    | ~ positional_advantage(X1,X2)
    | ~ greater(age(X1,X2),sigma) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    ( greater(age(esk3_0,X1),sigma)
    | is_aligned(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_21])]) ).

cnf(c_0_42,negated_conjecture,
    fragile_position(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_43,plain,
    ! [X16,X17,X18] :
      ( greater(X16,X18)
      | ~ greater(X17,X18)
      | ~ greater(X16,X17) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])])]) ).

cnf(c_0_44,plain,
    ( ~ epred1_2(X2,X1)
    | hazard_of_mortality(X1,X2) = high
    | positional_advantage(X1,X2)
    | is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_45,negated_conjecture,
    epred1_2(X1,esk3_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_22])]),c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ positional_advantage(esk3_0,X1)
    | is_aligned(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).

cnf(c_0_47,plain,
    ( ~ greater(X2,X3)
    | ~ greater(X1,X2)
    | greater(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_48,plain,
    greater(mod2,low),
    inference(split_conjunct,[status(thm)],[assumption_18e]) ).

fof(c_0_49,plain,
    ! [X8,X9] :
      ( ( smaller_or_equal(X8,X9)
        | X8 != X9 )
      & ( smaller_or_equal(X8,X9)
        | ~ smaller(X8,X9) )
      & ( X8 = X9
        | smaller(X8,X9)
        | ~ smaller_or_equal(X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])])]) ).

fof(c_0_50,plain,
    ! [X12,X13] :
      ( ( smaller(X12,X13)
        | ~ greater(X13,X12) )
      & ( greater(X13,X12)
        | ~ smaller(X12,X13) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])]) ).

cnf(c_0_51,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
    | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_52,plain,
    ( is_aligned(esk3_0,X1)
    | hazard_of_mortality(esk3_0,X1) = high ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).

cnf(c_0_53,plain,
    ( ~ epred1_2(X2,X1)
    | ~ positional_advantage(X1,X2)
    | ~ is_aligned(X1,X2)
    | hazard_of_mortality(X1,X2) = low ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_54,plain,
    ( ~ greater(X1,mod2)
    | greater(X1,low) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_55,plain,
    greater(high,mod2),
    inference(split_conjunct,[status(thm)],[assumption_18d]) ).

cnf(c_0_56,plain,
    ( ~ fragile_position(X1)
    | ~ smaller_or_equal(age(X1,X2),sigma)
    | positional_advantage(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_57,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk5_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_58,plain,
    ( ~ smaller(X1,X2)
    | smaller_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_59,plain,
    ( ~ greater(X1,X2)
    | smaller(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_60,plain,
    ( ~ dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X3)
    | ~ is_aligned(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_61,plain,
    ( age(X1,X3) != zero
    | ~ organization(X1)
    | ~ greater(age(X1,X2),sigma)
    | dissimilar(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ greater(high,hazard_of_mortality(esk3_0,esk5_0))
    | hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0)
    | is_aligned(esk3_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_63,plain,
    ( ~ positional_advantage(esk3_0,X1)
    | hazard_of_mortality(esk3_0,X1) = low ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_45]),c_0_46]) ).

cnf(c_0_64,plain,
    greater(high,low),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_65,negated_conjecture,
    positional_advantage(esk3_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_42])]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ smaller_or_equal(zero,sigma)
    | positional_advantage(esk3_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_21]),c_0_42])]) ).

cnf(c_0_67,plain,
    ( ~ greater(X2,X1)
    | smaller_or_equal(X1,X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_68,negated_conjecture,
    greater(sigma,zero),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_69,plain,
    ( ~ greater(age(X1,X3),sigma)
    | ~ organization(X1)
    | ~ is_aligned(X1,X3)
    | age(X1,X2) != zero ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_20]) ).

cnf(c_0_70,negated_conjecture,
    greater(age(esk3_0,esk6_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_71,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk4_0) != low
    | is_aligned(esk3_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65])]) ).

cnf(c_0_72,negated_conjecture,
    positional_advantage(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ is_aligned(esk3_0,esk6_0)
    | age(esk3_0,X1) != zero ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_22])]) ).

cnf(c_0_74,plain,
    is_aligned(esk3_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_63]),c_0_72])]) ).

cnf(c_0_75,negated_conjecture,
    age(esk3_0,X1) != zero,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).

cnf(c_0_76,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_21,c_0_75]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT061+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n010.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 21 01:24:39 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 0.11/0.44  % Version: 3.5.1
% 0.11/0.44  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44  % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44  % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44  % Starting sh5l with 300s (1) cores
% 0.11/0.44  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3954367 completed with status 0
% 0.11/0.44  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.44  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.44  % No SInE strategy applied
% 0.11/0.44  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.11/0.44  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.44  % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.44  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.11/0.44  % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.11/0.44  % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.11/0.44  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3954373 completed with status 0
% 0.11/0.44  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.11/0.44  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.44  % No SInE strategy applied
% 0.11/0.44  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.11/0.44  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.44  % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.11/0.44  % Preprocessing time       : 0.002 s
% 0.11/0.44  % Presaturation interreduction done
% 0.11/0.44  
% 0.11/0.44  % Proof found!
% 0.11/0.44  % SZS status Theorem
% 0.11/0.44  % SZS output start CNFRefutation
% See solution above
% 0.11/0.44  % Parsed axioms                        : 18
% 0.11/0.44  % Removed by relevancy pruning/SinE    : 0
% 0.11/0.44  % Initial clauses                      : 45
% 0.11/0.44  % Removed in clause preprocessing      : 0
% 0.11/0.44  % Initial clauses in saturation        : 45
% 0.11/0.44  % Processed clauses                    : 229
% 0.11/0.44  % ...of these trivial                  : 0
% 0.11/0.44  % ...subsumed                          : 51
% 0.11/0.44  % ...remaining for further processing  : 178
% 0.11/0.44  % Other redundant clauses eliminated   : 2
% 0.11/0.44  % Clauses deleted for lack of memory   : 0
% 0.11/0.44  % Backward-subsumed                    : 3
% 0.11/0.44  % Backward-rewritten                   : 5
% 0.11/0.44  % Generated clauses                    : 249
% 0.11/0.44  % ...of the previous two non-redundant : 211
% 0.11/0.44  % ...aggressively subsumed             : 0
% 0.11/0.44  % Contextual simplify-reflections      : 4
% 0.11/0.44  % Paramodulations                      : 244
% 0.11/0.44  % Factorizations                       : 2
% 0.11/0.44  % NegExts                              : 0
% 0.11/0.44  % Equation resolutions                 : 2
% 0.11/0.44  % Disequality decompositions           : 0
% 0.11/0.44  % Total rewrite steps                  : 68
% 0.11/0.44  % ...of those cached                   : 55
% 0.11/0.44  % Propositional unsat checks           : 0
% 0.11/0.44  %    Propositional check models        : 0
% 0.11/0.44  %    Propositional check unsatisfiable : 0
% 0.11/0.44  %    Propositional clauses             : 0
% 0.11/0.44  %    Propositional clauses after purity: 0
% 0.11/0.44  %    Propositional unsat core size     : 0
% 0.11/0.44  %    Propositional preprocessing time  : 0.000
% 0.11/0.44  %    Propositional encoding time       : 0.000
% 0.11/0.44  %    Propositional solver time         : 0.000
% 0.11/0.44  %    Success case prop preproc time    : 0.000
% 0.11/0.44  %    Success case prop encoding time   : 0.000
% 0.11/0.44  %    Success case prop solver time     : 0.000
% 0.11/0.44  % Current number of processed clauses  : 122
% 0.11/0.44  %    Positive orientable unit clauses  : 19
% 0.11/0.44  %    Positive unorientable unit clauses: 0
% 0.11/0.44  %    Negative unit clauses             : 14
% 0.11/0.44  %    Non-unit-clauses                  : 89
% 0.11/0.44  % Current number of unprocessed clauses: 71
% 0.11/0.44  % ...number of literals in the above   : 242
% 0.11/0.44  % Current number of archived formulas  : 0
% 0.11/0.44  % Current number of archived clauses   : 54
% 0.11/0.44  % Clause-clause subsumption calls (NU) : 1688
% 0.11/0.44  % Rec. Clause-clause subsumption calls : 1439
% 0.11/0.44  % Non-unit clause-clause subsumptions  : 35
% 0.11/0.44  % Unit Clause-clause subsumption calls : 260
% 0.11/0.44  % Rewrite failures with RHS unbound    : 0
% 0.11/0.44  % BW rewrite match attempts            : 6
% 0.11/0.44  % BW rewrite match successes           : 4
% 0.11/0.44  % Condensation attempts                : 0
% 0.11/0.44  % Condensation successes               : 0
% 0.11/0.44  % Termbank termtop insertions          : 5779
% 0.11/0.44  % Search garbage collected termcells   : 590
% 0.11/0.44  
% 0.11/0.44  % -------------------------------------------------
% 0.11/0.44  % User time                : 0.016 s
% 0.11/0.44  % System time              : 0.005 s
% 0.11/0.44  % Total time               : 0.021 s
% 0.11/0.44  % Maximum resident set size: 3656 pages
% 0.11/0.44  
% 0.11/0.44  % -------------------------------------------------
% 0.11/0.44  % User time                : 0.068 s
% 0.11/0.44  % System time              : 0.016 s
% 0.11/0.44  % Total time               : 0.084 s
% 0.11/0.44  % Maximum resident set size: 4864 pages
% 0.11/0.44  % E exiting
%------------------------------------------------------------------------------