TSTP Solution File: MGT064+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : MGT064+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 : Sat May 4 08:36:45 EDT 2024
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 114 ( 32 unt; 0 def)
% Number of atoms : 382 ( 70 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 409 ( 141 ~; 146 |; 84 &)
% ( 8 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 131 ( 5 sgn 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(assumption_1,axiom,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.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/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',assumption_17) ).
fof(theorem_10,conjecture,
! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(sigma,tau)
& smaller_or_equal(age(X1,X6),tau)
& greater(age(X1,X7),tau)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X8),sigma) )
=> ( smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X8))
& smaller(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',theorem_10) ).
fof(meaning_postulate_greater_transitive,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',meaning_postulate_greater_transitive) ).
fof(assumption_13,axiom,
! [X1,X4] :
( ( organization(X1)
& age(X1,X4) = zero )
=> is_aligned(X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',assumption_13) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',definition_smaller) ).
fof(definition_4,axiom,
! [X1] :
( robust_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),tau)
=> ~ positional_advantage(X1,X4) )
& ( greater(age(X1,X4),tau)
=> positional_advantage(X1,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',definition_4) ).
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/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.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/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',definition_2) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',definition_smaller_or_equal) ).
fof(assumption_19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',assumption_19) ).
fof(meaning_postulate_greater_strict,axiom,
! [X1,X2] :
~ ( greater(X1,X2)
& greater(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',meaning_postulate_greater_strict) ).
fof(assumption_18b,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p',assumption_18b) ).
fof(c_0_13,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_14,plain,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
inference(fof_simplification,[status(thm)],[assumption_1]) ).
fof(c_0_15,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_13]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(sigma,tau)
& smaller_or_equal(age(X1,X6),tau)
& greater(age(X1,X7),tau)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X8),sigma) )
=> ( smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X8))
& smaller(hazard_of_mortality(X1,X8),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_10])]) ).
fof(c_0_17,plain,
! [X38,X39] :
( ~ organization(X38)
| has_endowment(X38)
| ~ has_immunity(X38,X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_18,plain,
! [X14,X15] :
( ( ~ has_immunity(X14,X15)
| hazard_of_mortality(X14,X15) = very_low
| ~ organization(X14) )
& ( has_immunity(X14,X15)
| epred1_2(X15,X14)
| ~ organization(X14) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_19,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_13]) ).
fof(c_0_20,negated_conjecture,
( organization(esk1_0)
& robust_position(esk1_0)
& ~ has_endowment(esk1_0)
& age(esk1_0,esk2_0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(sigma,tau)
& smaller_or_equal(age(esk1_0,esk3_0),tau)
& greater(age(esk1_0,esk4_0),tau)
& smaller_or_equal(age(esk1_0,esk4_0),sigma)
& greater(age(esk1_0,esk5_0),sigma)
& ( ~ smaller(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk5_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk5_0),hazard_of_mortality(esk1_0,esk3_0))
| hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_21,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X24,X25,X26] :
( ~ greater(X24,X25)
| ~ greater(X25,X26)
| greater(X24,X26) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])])]) ).
fof(c_0_24,plain,
! [X36,X37] :
( ~ organization(X36)
| age(X36,X37) != zero
| is_aligned(X36,X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])])]) ).
fof(c_0_25,plain,
! [X43,X44] :
( ( ~ is_aligned(X43,X44)
| ~ positional_advantage(X43,X44)
| hazard_of_mortality(X43,X44) = low
| ~ epred1_2(X44,X43) )
& ( is_aligned(X43,X44)
| ~ positional_advantage(X43,X44)
| hazard_of_mortality(X43,X44) = mod1
| ~ epred1_2(X44,X43) )
& ( ~ is_aligned(X43,X44)
| positional_advantage(X43,X44)
| hazard_of_mortality(X43,X44) = mod2
| ~ epred1_2(X44,X43) )
& ( is_aligned(X43,X44)
| positional_advantage(X43,X44)
| hazard_of_mortality(X43,X44) = high
| ~ epred1_2(X44,X43) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_26,negated_conjecture,
~ has_endowment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( epred1_2(X1,X2)
| has_endowment(X2)
| ~ organization(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_29,plain,
! [X18,X19] :
( ( ~ smaller(X18,X19)
| greater(X19,X18) )
& ( ~ greater(X19,X18)
| smaller(X18,X19) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])]) ).
fof(c_0_30,plain,
! [X1] :
( robust_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),tau)
=> ~ positional_advantage(X1,X4) )
& ( greater(age(X1,X4),tau)
=> positional_advantage(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[definition_4]) ).
cnf(c_0_31,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
greater(sigma,tau),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_33,plain,
! [X27,X28,X29] :
( ( ~ greater(age(X27,X29),sigma)
| dissimilar(X27,X28,X29)
| ~ organization(X27)
| age(X27,X28) != zero )
& ( ~ dissimilar(X27,X28,X29)
| greater(age(X27,X29),sigma)
| ~ organization(X27)
| age(X27,X28) != zero ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])])]) ).
fof(c_0_34,plain,
! [X40,X41,X42] :
( ( organization(X40)
| ~ dissimilar(X40,X41,X42) )
& ( ~ is_aligned(X40,X41)
| ~ is_aligned(X40,X42)
| ~ dissimilar(X40,X41,X42) )
& ( is_aligned(X40,X41)
| is_aligned(X40,X42)
| ~ dissimilar(X40,X41,X42) )
& ( ~ is_aligned(X40,X41)
| is_aligned(X40,X42)
| ~ organization(X40)
| dissimilar(X40,X41,X42) )
& ( ~ is_aligned(X40,X42)
| is_aligned(X40,X41)
| ~ organization(X40)
| dissimilar(X40,X41,X42) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])]) ).
cnf(c_0_35,plain,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,negated_conjecture,
age(esk1_0,esk2_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37,plain,
( positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = mod2
| ~ is_aligned(X1,X2)
| ~ epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,negated_conjecture,
epred1_2(X1,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
fof(c_0_39,plain,
! [X16,X17] :
( ( ~ smaller_or_equal(X16,X17)
| smaller(X16,X17)
| X16 = X17 )
& ( ~ smaller(X16,X17)
| smaller_or_equal(X16,X17) )
& ( X16 != X17
| smaller_or_equal(X16,X17) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])])]) ).
cnf(c_0_40,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,negated_conjecture,
greater(tau,zero),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_42,plain,
! [X30,X31,X32,X33] :
( ( ~ smaller_or_equal(age(X30,X31),tau)
| ~ positional_advantage(X30,X31)
| ~ robust_position(X30) )
& ( ~ greater(age(X30,X32),tau)
| positional_advantage(X30,X32)
| ~ robust_position(X30) )
& ( greater(age(X33,esk7_1(X33)),tau)
| smaller_or_equal(age(X33,esk6_1(X33)),tau)
| robust_position(X33) )
& ( ~ positional_advantage(X33,esk7_1(X33))
| smaller_or_equal(age(X33,esk6_1(X33)),tau)
| robust_position(X33) )
& ( greater(age(X33,esk7_1(X33)),tau)
| positional_advantage(X33,esk6_1(X33))
| robust_position(X33) )
& ( ~ positional_advantage(X33,esk7_1(X33))
| positional_advantage(X33,esk6_1(X33))
| robust_position(X33) ) ),
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_30])])])])])])]) ).
cnf(c_0_43,negated_conjecture,
( greater(X1,tau)
| ~ greater(X1,sigma) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
greater(age(esk1_0,esk5_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,plain,
( dissimilar(X1,X3,X2)
| ~ greater(age(X1,X2),sigma)
| ~ organization(X1)
| age(X1,X3) != zero ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
( greater(age(X1,X3),sigma)
| ~ dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_48,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_49,negated_conjecture,
is_aligned(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_28])]) ).
cnf(c_0_50,plain,
( hazard_of_mortality(esk1_0,X1) = mod2
| positional_advantage(esk1_0,X1)
| ~ is_aligned(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_51,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_52,negated_conjecture,
smaller(zero,tau),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_53,plain,
( is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = mod1
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_54,plain,
( positional_advantage(X1,X2)
| ~ greater(age(X1,X2),tau)
| ~ robust_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_55,negated_conjecture,
greater(age(esk1_0,esk5_0),tau),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_56,negated_conjecture,
robust_position(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_57,negated_conjecture,
( dissimilar(esk1_0,esk2_0,X1)
| ~ greater(age(esk1_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_36]),c_0_28])]) ).
cnf(c_0_58,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_59,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_28])]) ).
cnf(c_0_60,plain,
( ~ smaller_or_equal(age(X1,X2),tau)
| ~ positional_advantage(X1,X2)
| ~ robust_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_61,negated_conjecture,
( hazard_of_mortality(esk1_0,esk2_0) = mod2
| positional_advantage(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_62,negated_conjecture,
smaller_or_equal(zero,tau),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,plain,
( hazard_of_mortality(esk1_0,X1) = mod1
| is_aligned(esk1_0,X1)
| ~ positional_advantage(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_38]) ).
cnf(c_0_64,negated_conjecture,
positional_advantage(esk1_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_65,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_66,negated_conjecture,
dissimilar(esk1_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_57,c_0_44]) ).
cnf(c_0_67,negated_conjecture,
( is_aligned(esk1_0,X1)
| greater(age(esk1_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_36])]) ).
cnf(c_0_68,negated_conjecture,
( ~ smaller(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk5_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk5_0),hazard_of_mortality(esk1_0,esk3_0))
| hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_69,negated_conjecture,
hazard_of_mortality(esk1_0,esk2_0) = mod2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_56]),c_0_36]),c_0_62])]) ).
cnf(c_0_70,negated_conjecture,
( hazard_of_mortality(esk1_0,esk5_0) = mod1
| is_aligned(esk1_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,negated_conjecture,
~ is_aligned(esk1_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_49])]) ).
cnf(c_0_72,plain,
( hazard_of_mortality(esk1_0,X1) = mod2
| positional_advantage(esk1_0,X1)
| greater(age(esk1_0,X1),sigma) ),
inference(spm,[status(thm)],[c_0_50,c_0_67]) ).
cnf(c_0_73,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_25]) ).
cnf(c_0_74,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_75,negated_conjecture,
smaller_or_equal(age(esk1_0,esk4_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_76,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) != mod2
| ~ smaller(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk5_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk5_0),hazard_of_mortality(esk1_0,esk3_0)) ),
inference(rw,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_77,negated_conjecture,
hazard_of_mortality(esk1_0,esk5_0) = mod1,
inference(sr,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,plain,
( hazard_of_mortality(esk1_0,X1) = mod2
| greater(age(esk1_0,X1),sigma)
| ~ smaller_or_equal(age(esk1_0,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_72]),c_0_56])]) ).
cnf(c_0_79,negated_conjecture,
smaller_or_equal(age(esk1_0,esk3_0),tau),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_80,plain,
greater(mod2,mod1),
inference(split_conjunct,[status(thm)],[assumption_19]) ).
cnf(c_0_81,plain,
( hazard_of_mortality(esk1_0,X1) = low
| ~ positional_advantage(esk1_0,X1)
| ~ is_aligned(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_38]) ).
cnf(c_0_82,negated_conjecture,
greater(age(esk1_0,esk4_0),tau),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_83,plain,
! [X22,X23] :
( ~ greater(X22,X23)
| ~ greater(X23,X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])])]) ).
cnf(c_0_84,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_85,negated_conjecture,
( age(esk1_0,esk4_0) = sigma
| smaller(age(esk1_0,esk4_0),sigma) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_86,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) != mod2
| ~ smaller(hazard_of_mortality(esk1_0,esk4_0),mod1)
| ~ smaller(mod1,hazard_of_mortality(esk1_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77]),c_0_77]) ).
cnf(c_0_87,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) = mod2
| greater(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_88,plain,
smaller(mod1,mod2),
inference(spm,[status(thm)],[c_0_40,c_0_80]) ).
cnf(c_0_89,plain,
( hazard_of_mortality(esk1_0,X1) = low
| greater(age(esk1_0,X1),sigma)
| ~ positional_advantage(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_67]) ).
cnf(c_0_90,negated_conjecture,
positional_advantage(esk1_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_82]),c_0_56])]) ).
cnf(c_0_91,plain,
greater(mod1,low),
inference(split_conjunct,[status(thm)],[assumption_18b]) ).
cnf(c_0_92,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_93,negated_conjecture,
( age(esk1_0,esk4_0) = sigma
| greater(sigma,age(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,negated_conjecture,
( greater(age(esk1_0,esk3_0),sigma)
| ~ smaller(hazard_of_mortality(esk1_0,esk4_0),mod1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_95,negated_conjecture,
( hazard_of_mortality(esk1_0,esk4_0) = low
| greater(age(esk1_0,esk4_0),sigma) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,plain,
smaller(low,mod1),
inference(spm,[status(thm)],[c_0_40,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
( age(esk1_0,esk4_0) = sigma
| ~ greater(age(esk1_0,esk4_0),sigma) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,negated_conjecture,
( greater(age(esk1_0,esk4_0),sigma)
| greater(age(esk1_0,esk3_0),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).
cnf(c_0_99,negated_conjecture,
( age(esk1_0,esk4_0) = sigma
| greater(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_100,negated_conjecture,
( age(esk1_0,esk3_0) = tau
| smaller(age(esk1_0,esk3_0),tau) ),
inference(spm,[status(thm)],[c_0_74,c_0_79]) ).
cnf(c_0_101,negated_conjecture,
( age(esk1_0,esk4_0) = sigma
| greater(age(esk1_0,esk3_0),tau) ),
inference(spm,[status(thm)],[c_0_43,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
( age(esk1_0,esk3_0) = tau
| greater(tau,age(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_100]) ).
cnf(c_0_103,negated_conjecture,
( age(esk1_0,esk4_0) = sigma
| positional_advantage(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_101]),c_0_56])]) ).
cnf(c_0_104,negated_conjecture,
( age(esk1_0,esk3_0) = tau
| greater(X1,age(esk1_0,esk3_0))
| ~ greater(X1,tau) ),
inference(spm,[status(thm)],[c_0_31,c_0_102]) ).
cnf(c_0_105,negated_conjecture,
( greater(age(esk1_0,esk3_0),sigma)
| ~ greater(sigma,age(esk1_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
age(esk1_0,esk4_0) = sigma,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_103]),c_0_56]),c_0_79])]) ).
cnf(c_0_107,negated_conjecture,
( age(esk1_0,esk3_0) = tau
| greater(sigma,age(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_104,c_0_32]) ).
cnf(c_0_108,negated_conjecture,
( greater(age(esk1_0,esk3_0),sigma)
| ~ greater(sigma,sigma) ),
inference(rw,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( age(esk1_0,esk3_0) = tau
| ~ greater(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_92,c_0_107]) ).
cnf(c_0_110,negated_conjecture,
greater(age(esk1_0,esk3_0),sigma),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_106]),c_0_108]) ).
cnf(c_0_111,negated_conjecture,
age(esk1_0,esk3_0) = tau,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).
cnf(c_0_112,negated_conjecture,
~ greater(tau,sigma),
inference(spm,[status(thm)],[c_0_92,c_0_32]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111]),c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT064+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 14:45:46 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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/tmp/tmp.JOPg9cM9Ho/E---3.1_24887.p
% 0.19/0.49 # Version: 3.1.0
% 0.19/0.49 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # Starting sh5l with 300s (1) cores
% 0.19/0.49 # new_bool_3 with pid 24966 completed with status 0
% 0.19/0.49 # Result found by new_bool_3
% 0.19/0.49 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.19/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.19/0.49 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 24970 completed with status 0
% 0.19/0.49 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 0.19/0.49 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.19/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.19/0.49 # Preprocessing time : 0.001 s
% 0.19/0.49 # Presaturation interreduction done
% 0.19/0.49
% 0.19/0.49 # Proof found!
% 0.19/0.49 # SZS status Theorem
% 0.19/0.49 # SZS output start CNFRefutation
% See solution above
% 0.19/0.49 # Parsed axioms : 20
% 0.19/0.49 # Removed by relevancy pruning/SinE : 2
% 0.19/0.49 # Initial clauses : 47
% 0.19/0.49 # Removed in clause preprocessing : 0
% 0.19/0.49 # Initial clauses in saturation : 47
% 0.19/0.49 # Processed clauses : 313
% 0.19/0.49 # ...of these trivial : 0
% 0.19/0.49 # ...subsumed : 45
% 0.19/0.49 # ...remaining for further processing : 268
% 0.19/0.49 # Other redundant clauses eliminated : 1
% 0.19/0.49 # Clauses deleted for lack of memory : 0
% 0.19/0.49 # Backward-subsumed : 2
% 0.19/0.49 # Backward-rewritten : 61
% 0.19/0.49 # Generated clauses : 475
% 0.19/0.49 # ...of the previous two non-redundant : 367
% 0.19/0.49 # ...aggressively subsumed : 0
% 0.19/0.49 # Contextual simplify-reflections : 2
% 0.19/0.49 # Paramodulations : 470
% 0.19/0.49 # Factorizations : 3
% 0.19/0.49 # NegExts : 0
% 0.19/0.49 # Equation resolutions : 1
% 0.19/0.49 # Disequality decompositions : 0
% 0.19/0.49 # Total rewrite steps : 229
% 0.19/0.49 # ...of those cached : 176
% 0.19/0.49 # Propositional unsat checks : 0
% 0.19/0.49 # Propositional check models : 0
% 0.19/0.49 # Propositional check unsatisfiable : 0
% 0.19/0.49 # Propositional clauses : 0
% 0.19/0.49 # Propositional clauses after purity: 0
% 0.19/0.49 # Propositional unsat core size : 0
% 0.19/0.49 # Propositional preprocessing time : 0.000
% 0.19/0.49 # Propositional encoding time : 0.000
% 0.19/0.49 # Propositional solver time : 0.000
% 0.19/0.49 # Success case prop preproc time : 0.000
% 0.19/0.49 # Success case prop encoding time : 0.000
% 0.19/0.49 # Success case prop solver time : 0.000
% 0.19/0.49 # Current number of processed clauses : 156
% 0.19/0.49 # Positive orientable unit clauses : 61
% 0.19/0.49 # Positive unorientable unit clauses: 0
% 0.19/0.49 # Negative unit clauses : 20
% 0.19/0.49 # Non-unit-clauses : 75
% 0.19/0.49 # Current number of unprocessed clauses: 137
% 0.19/0.49 # ...number of literals in the above : 445
% 0.19/0.49 # Current number of archived formulas : 0
% 0.19/0.49 # Current number of archived clauses : 111
% 0.19/0.49 # Clause-clause subsumption calls (NU) : 1459
% 0.19/0.49 # Rec. Clause-clause subsumption calls : 1138
% 0.19/0.49 # Non-unit clause-clause subsumptions : 41
% 0.19/0.49 # Unit Clause-clause subsumption calls : 529
% 0.19/0.49 # Rewrite failures with RHS unbound : 0
% 0.19/0.49 # BW rewrite match attempts : 9
% 0.19/0.49 # BW rewrite match successes : 5
% 0.19/0.49 # Condensation attempts : 0
% 0.19/0.49 # Condensation successes : 0
% 0.19/0.49 # Termbank termtop insertions : 8022
% 0.19/0.49 # Search garbage collected termcells : 642
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.015 s
% 0.19/0.49 # System time : 0.001 s
% 0.19/0.49 # Total time : 0.016 s
% 0.19/0.49 # Maximum resident set size: 1892 pages
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.016 s
% 0.19/0.49 # System time : 0.003 s
% 0.19/0.49 # Total time : 0.020 s
% 0.19/0.49 # Maximum resident set size: 1752 pages
% 0.19/0.49 % E---3.1 exiting
% 0.19/0.49 % E exiting
%------------------------------------------------------------------------------