↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT061+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:48:23 PM UTC 2026

% Result   : Theorem 1.26s 1.71s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   79 (  25 unt;   0 def)
%            Number of atoms       :  293 (  47 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  332 ( 118   ~; 107   |;  69   &)
%                                         (   8 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 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   :  113 (   5 sgn  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(assumption_1,axiom,
    ! [X1,X4] :
      ( ( organization(X1)
        & ~ has_endowment(X1) )
     => ~ has_immunity(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).

fof(assumption_17,axiom,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low )
        & ( ~ has_immunity(X1,X4)
         => ( ( ( is_aligned(X1,X4)
                & positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = low )
            & ( ( ~ is_aligned(X1,X4)
                & positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod1 )
            & ( ( is_aligned(X1,X4)
                & ~ positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod2 )
            & ( ( ~ is_aligned(X1,X4)
                & ~ positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = high ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).

fof(theorem_7,conjecture,
    ! [X1,X5,X6,X7] :
      ( ( organization(X1)
        & fragile_position(X1)
        & ~ has_endowment(X1)
        & age(X1,X5) = zero
        & greater(sigma,zero)
        & smaller_or_equal(age(X1,X6),sigma)
        & greater(age(X1,X7),sigma) )
     => ( greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
        & hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7) ).

fof(definition_smaller,axiom,
    ! [X1,X2] :
      ( smaller(X1,X2)
    <=> greater(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).

fof(assumption_13,axiom,
    ! [X1,X4] :
      ( ( organization(X1)
        & age(X1,X4) = zero )
     => is_aligned(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).

fof(definition_3,axiom,
    ! [X1] :
      ( fragile_position(X1)
    <=> ! [X4] :
          ( ( smaller_or_equal(age(X1,X4),sigma)
           => positional_advantage(X1,X4) )
          & ( greater(age(X1,X4),sigma)
           => ~ positional_advantage(X1,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3) ).

fof(definition_smaller_or_equal,axiom,
    ! [X1,X2] :
      ( smaller_or_equal(X1,X2)
    <=> ( smaller(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).

fof(assumption_15,axiom,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & age(X1,X5) = zero )
     => ( greater(age(X1,X4),sigma)
      <=> dissimilar(X1,X5,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).

fof(definition_2,axiom,
    ! [X1,X5,X4] :
      ( dissimilar(X1,X5,X4)
    <=> ( organization(X1)
        & ~ ( is_aligned(X1,X5)
          <=> is_aligned(X1,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).

fof(meaning_postulate_greater_transitive,axiom,
    ! [X1,X2,X3] :
      ( ( greater(X1,X2)
        & greater(X2,X3) )
     => greater(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).

fof(assumption_18e,axiom,
    greater(mod2,low),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e) ).

fof(assumption_18d,axiom,
    greater(high,mod2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d) ).

fof(c_0_12,plain,
    ! [X1,X4] :
      ( epred1_2(X4,X1)
    <=> ( ( ( is_aligned(X1,X4)
            & positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = low )
        & ( ( ~ is_aligned(X1,X4)
            & positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod1 )
        & ( ( is_aligned(X1,X4)
            & ~ positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod2 )
        & ( ( ~ is_aligned(X1,X4)
            & ~ positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = high ) ) ),
    introduced(definition) ).

fof(c_0_13,plain,
    ! [X1,X4] :
      ( ( organization(X1)
        & ~ has_endowment(X1) )
     => ~ has_immunity(X1,X4) ),
    inference(fof_simplification,[status(thm)],[assumption_1]) ).

fof(c_0_14,plain,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low )
        & ( ~ has_immunity(X1,X4)
         => epred1_2(X4,X1) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_17]),c_0_12]) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X1,X5,X6,X7] :
        ( ( organization(X1)
          & fragile_position(X1)
          & ~ has_endowment(X1)
          & age(X1,X5) = zero
          & greater(sigma,zero)
          & smaller_or_equal(age(X1,X6),sigma)
          & greater(age(X1,X7),sigma) )
       => ( greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
          & hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_7])]) ).

fof(c_0_16,plain,
    ! [X52,X53] :
      ( ~ organization(X52)
      | has_endowment(X52)
      | ~ has_immunity(X52,X53) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

fof(c_0_17,plain,
    ! [X68,X69] :
      ( ( ~ has_immunity(X68,X69)
        | hazard_of_mortality(X68,X69) = very_low
        | ~ organization(X68) )
      & ( has_immunity(X68,X69)
        | epred1_2(X69,X68)
        | ~ organization(X68) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

fof(c_0_18,plain,
    ! [X43,X44] :
      ( ( ~ smaller(X43,X44)
        | greater(X44,X43) )
      & ( ~ greater(X44,X43)
        | smaller(X43,X44) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).

fof(c_0_19,negated_conjecture,
    ( organization(esk3_0)
    & fragile_position(esk3_0)
    & ~ has_endowment(esk3_0)
    & age(esk3_0,esk4_0) = zero
    & greater(sigma,zero)
    & smaller_or_equal(age(esk3_0,esk5_0),sigma)
    & greater(age(esk3_0,esk6_0),sigma)
    & ( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
      | hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

fof(c_0_20,plain,
    ! [X57,X58] :
      ( ~ organization(X57)
      | age(X57,X58) != zero
      | is_aligned(X57,X58) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).

fof(c_0_21,plain,
    ! [X1,X4] :
      ( epred1_2(X4,X1)
     => ( ( ( is_aligned(X1,X4)
            & positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = low )
        & ( ( ~ is_aligned(X1,X4)
            & positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod1 )
        & ( ( is_aligned(X1,X4)
            & ~ positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod2 )
        & ( ( ~ is_aligned(X1,X4)
            & ~ positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = high ) ) ),
    inference(split_equiv,[status(thm)],[c_0_12]) ).

cnf(c_0_22,plain,
    ( has_endowment(X1)
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( has_immunity(X1,X2)
    | epred1_2(X2,X1)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_24,plain,
    ! [X1] :
      ( fragile_position(X1)
    <=> ! [X4] :
          ( ( smaller_or_equal(age(X1,X4),sigma)
           => positional_advantage(X1,X4) )
          & ( greater(age(X1,X4),sigma)
           => ~ positional_advantage(X1,X4) ) ) ),
    inference(fof_simplification,[status(thm)],[definition_3]) ).

fof(c_0_25,plain,
    ! [X39,X40] :
      ( ( ~ smaller_or_equal(X39,X40)
        | smaller(X39,X40)
        | X39 = X40 )
      & ( ~ smaller(X39,X40)
        | smaller_or_equal(X39,X40) )
      & ( X39 != X40
        | smaller_or_equal(X39,X40) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).

cnf(c_0_26,plain,
    ( smaller(X2,X1)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    greater(sigma,zero),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_28,plain,
    ! [X59,X60,X61] :
      ( ( ~ greater(age(X59,X61),sigma)
        | dissimilar(X59,X60,X61)
        | ~ organization(X59)
        | age(X59,X60) != zero )
      & ( ~ dissimilar(X59,X60,X61)
        | greater(age(X59,X61),sigma)
        | ~ organization(X59)
        | age(X59,X60) != zero ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])]) ).

fof(c_0_29,plain,
    ! [X54,X55,X56] :
      ( ( organization(X54)
        | ~ dissimilar(X54,X55,X56) )
      & ( ~ is_aligned(X54,X55)
        | ~ is_aligned(X54,X56)
        | ~ dissimilar(X54,X55,X56) )
      & ( is_aligned(X54,X55)
        | is_aligned(X54,X56)
        | ~ dissimilar(X54,X55,X56) )
      & ( ~ is_aligned(X54,X55)
        | is_aligned(X54,X56)
        | ~ organization(X54)
        | dissimilar(X54,X55,X56) )
      & ( ~ is_aligned(X54,X56)
        | is_aligned(X54,X55)
        | ~ organization(X54)
        | dissimilar(X54,X55,X56) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).

cnf(c_0_30,plain,
    ( is_aligned(X1,X2)
    | ~ organization(X1)
    | age(X1,X2) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31,negated_conjecture,
    age(esk3_0,esk4_0) = zero,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_32,negated_conjecture,
    organization(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_33,plain,
    ! [X74,X75] :
      ( ( ~ is_aligned(X74,X75)
        | ~ positional_advantage(X74,X75)
        | hazard_of_mortality(X74,X75) = low
        | ~ epred1_2(X75,X74) )
      & ( is_aligned(X74,X75)
        | ~ positional_advantage(X74,X75)
        | hazard_of_mortality(X74,X75) = mod1
        | ~ epred1_2(X75,X74) )
      & ( ~ is_aligned(X74,X75)
        | positional_advantage(X74,X75)
        | hazard_of_mortality(X74,X75) = mod2
        | ~ epred1_2(X75,X74) )
      & ( is_aligned(X74,X75)
        | positional_advantage(X74,X75)
        | hazard_of_mortality(X74,X75) = high
        | ~ epred1_2(X75,X74) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

cnf(c_0_34,negated_conjecture,
    ~ has_endowment(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_35,plain,
    ( epred1_2(X1,X2)
    | has_endowment(X2)
    | ~ organization(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_36,plain,
    ! [X62,X63,X64,X65] :
      ( ( ~ smaller_or_equal(age(X62,X63),sigma)
        | positional_advantage(X62,X63)
        | ~ fragile_position(X62) )
      & ( ~ greater(age(X62,X64),sigma)
        | ~ positional_advantage(X62,X64)
        | ~ fragile_position(X62) )
      & ( greater(age(X65,esk2_1(X65)),sigma)
        | smaller_or_equal(age(X65,esk1_1(X65)),sigma)
        | fragile_position(X65) )
      & ( positional_advantage(X65,esk2_1(X65))
        | smaller_or_equal(age(X65,esk1_1(X65)),sigma)
        | fragile_position(X65) )
      & ( greater(age(X65,esk2_1(X65)),sigma)
        | ~ positional_advantage(X65,esk1_1(X65))
        | fragile_position(X65) )
      & ( positional_advantage(X65,esk2_1(X65))
        | ~ positional_advantage(X65,esk1_1(X65))
        | fragile_position(X65) ) ),
    inference(distribute,[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_24])])])])])]) ).

cnf(c_0_37,plain,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_38,negated_conjecture,
    smaller(zero,sigma),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_39,plain,
    ( greater(age(X1,X3),sigma)
    | ~ dissimilar(X1,X2,X3)
    | ~ organization(X1)
    | age(X1,X2) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_40,plain,
    ( organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_41,plain,
    ( is_aligned(X1,X3)
    | dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X2)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_42,negated_conjecture,
    is_aligned(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_43,plain,
    ( hazard_of_mortality(X1,X2) = low
    | ~ is_aligned(X1,X2)
    | ~ positional_advantage(X1,X2)
    | ~ epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_44,negated_conjecture,
    epred1_2(X1,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_32])]) ).

cnf(c_0_45,plain,
    ( positional_advantage(X1,X2)
    | ~ smaller_or_equal(age(X1,X2),sigma)
    | ~ fragile_position(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_46,negated_conjecture,
    fragile_position(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_47,negated_conjecture,
    smaller_or_equal(zero,sigma),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_48,plain,
    ( dissimilar(X1,X3,X2)
    | ~ greater(age(X1,X2),sigma)
    | ~ organization(X1)
    | age(X1,X3) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_49,plain,
    ( greater(age(X1,X2),sigma)
    | age(X1,X3) != zero
    | ~ dissimilar(X1,X3,X2) ),
    inference(csr,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_50,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | dissimilar(esk3_0,esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_32])]) ).

cnf(c_0_51,plain,
    ( hazard_of_mortality(esk3_0,X1) = low
    | ~ positional_advantage(esk3_0,X1)
    | ~ is_aligned(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    positional_advantage(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_31]),c_0_46]),c_0_47])]) ).

cnf(c_0_53,negated_conjecture,
    ( dissimilar(esk3_0,esk4_0,X1)
    | ~ greater(age(esk3_0,X1),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_31]),c_0_32])]) ).

cnf(c_0_54,negated_conjecture,
    greater(age(esk3_0,esk6_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_55,plain,
    ( ~ greater(age(X1,X2),sigma)
    | ~ positional_advantage(X1,X2)
    | ~ fragile_position(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_56,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | greater(age(esk3_0,X1),sigma) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_31])]) ).

cnf(c_0_57,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk5_0),sigma),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_58,plain,
    ! [X47,X48,X49] :
      ( ~ greater(X47,X48)
      | ~ greater(X48,X49)
      | greater(X47,X49) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
    | hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_60,negated_conjecture,
    hazard_of_mortality(esk3_0,esk4_0) = low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_42]),c_0_52])]) ).

cnf(c_0_61,plain,
    ( is_aligned(X1,X2)
    | positional_advantage(X1,X2)
    | hazard_of_mortality(X1,X2) = high
    | ~ epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_62,plain,
    ( ~ is_aligned(X1,X2)
    | ~ is_aligned(X1,X3)
    | ~ dissimilar(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_63,negated_conjecture,
    dissimilar(esk3_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_64,negated_conjecture,
    ( is_aligned(esk3_0,X1)
    | ~ positional_advantage(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_46])]) ).

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_45,c_0_57]),c_0_46])]) ).

cnf(c_0_66,plain,
    ( greater(X1,X3)
    | ~ greater(X1,X2)
    | ~ greater(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_67,plain,
    greater(mod2,low),
    inference(split_conjunct,[status(thm)],[assumption_18e]) ).

cnf(c_0_68,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk5_0) != low
    | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
    inference(rw,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_69,plain,
    ( hazard_of_mortality(esk3_0,X1) = high
    | positional_advantage(esk3_0,X1)
    | is_aligned(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_44]) ).

cnf(c_0_70,negated_conjecture,
    ~ positional_advantage(esk3_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_54]),c_0_46])]) ).

cnf(c_0_71,negated_conjecture,
    ~ is_aligned(esk3_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_42])]) ).

cnf(c_0_72,negated_conjecture,
    is_aligned(esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_73,plain,
    ( greater(X1,low)
    | ~ greater(X1,mod2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_74,plain,
    greater(high,mod2),
    inference(split_conjunct,[status(thm)],[assumption_18d]) ).

cnf(c_0_75,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk5_0) != low
    | ~ greater(high,hazard_of_mortality(esk3_0,esk5_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71]) ).

cnf(c_0_76,plain,
    hazard_of_mortality(esk3_0,esk5_0) = low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_72]),c_0_65])]) ).

cnf(c_0_77,plain,
    greater(high,low),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_78,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_76]),c_0_77])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : MGT061+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n031.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Mon May  4 23:33:53 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 1.26/1.71  % Version  : CSE_E---1.7
% 1.26/1.71  % Problem  : theBenchmark.p
% 1.26/1.71  % SZS status Theorem for theBenchmark.p
% 1.26/1.71  % SZS output start CNFRefutation
% See solution above
% 1.26/1.71  % Total time : 1.370s
%------------------------------------------------------------------------------