TSTP Solution File: MGT063+1 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : MGT063+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 : Mon Jun 24 11:47:04 EDT 2024
% Result : Theorem 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 109 ( 34 unt; 0 def)
% Number of atoms : 370 ( 68 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 394 ( 133 ~; 139 |; 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/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.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/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p',assumption_17) ).
fof(theorem_9,conjecture,
! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& smaller(sigma,tau)
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma)
& smaller_or_equal(age(X1,X7),tau)
& greater(age(X1,X8),tau) )
=> ( smaller(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X6))
& smaller(hazard_of_mortality(X1,X6),hazard_of_mortality(X1,X7))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p',theorem_9) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p',definition_smaller) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p',definition_smaller_or_equal) ).
fof(meaning_postulate_greater_transitive,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p',meaning_postulate_greater_transitive) ).
fof(assumption_13,axiom,
! [X1,X4] :
( ( organization(X1)
& age(X1,X4) = zero )
=> is_aligned(X1,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p',assumption_13) ).
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/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.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/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.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/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p',definition_2) ).
fof(meaning_postulate_greater_strict,axiom,
! [X1,X2] :
~ ( greater(X1,X2)
& greater(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p',meaning_postulate_greater_strict) ).
fof(assumption_18d,axiom,
greater(high,mod2),
file('/export/starexec/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p',assumption_18d) ).
fof(assumption_19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p',assumption_19) ).
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)
& smaller(sigma,tau)
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma)
& smaller_or_equal(age(X1,X7),tau)
& greater(age(X1,X8),tau) )
=> ( smaller(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X6))
& smaller(hazard_of_mortality(X1,X6),hazard_of_mortality(X1,X7))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_9])]) ).
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,
! [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_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)
& smaller(sigma,tau)
& smaller_or_equal(age(esk1_0,esk3_0),sigma)
& greater(age(esk1_0,esk4_0),sigma)
& smaller_or_equal(age(esk1_0,esk4_0),tau)
& greater(age(esk1_0,esk5_0),tau)
& ( ~ smaller(hazard_of_mortality(esk1_0,esk5_0),hazard_of_mortality(esk1_0,esk3_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk4_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])])])]) ).
fof(c_0_21,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])])])]) ).
fof(c_0_22,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]) ).
cnf(c_0_23,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,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])])]) ).
cnf(c_0_26,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
smaller(sigma,tau),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_28,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])])]) ).
cnf(c_0_29,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
smaller_or_equal(age(esk1_0,esk3_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_31,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_22])])])]) ).
cnf(c_0_32,negated_conjecture,
~ has_endowment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,plain,
( epred1_2(X1,X2)
| has_endowment(X2)
| ~ organization(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_34,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_35,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]) ).
fof(c_0_36,plain,
! [X33,X34,X35] :
( ( ~ greater(age(X33,X35),sigma)
| dissimilar(X33,X34,X35)
| ~ organization(X33)
| age(X33,X34) != zero )
& ( ~ dissimilar(X33,X34,X35)
| greater(age(X33,X35),sigma)
| ~ organization(X33)
| age(X33,X34) != zero ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])])]) ).
cnf(c_0_37,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,negated_conjecture,
greater(tau,sigma),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_39,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_40,plain,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,negated_conjecture,
age(esk1_0,esk2_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_42,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| smaller(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_43,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_31]) ).
cnf(c_0_44,negated_conjecture,
epred1_2(X1,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_45,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_46,negated_conjecture,
greater(tau,zero),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_47,plain,
! [X27,X28,X29,X30] :
( ( ~ smaller_or_equal(age(X27,X28),tau)
| ~ positional_advantage(X27,X28)
| ~ robust_position(X27) )
& ( ~ greater(age(X27,X29),tau)
| positional_advantage(X27,X29)
| ~ robust_position(X27) )
& ( greater(age(X30,esk7_1(X30)),tau)
| smaller_or_equal(age(X30,esk6_1(X30)),tau)
| robust_position(X30) )
& ( ~ positional_advantage(X30,esk7_1(X30))
| smaller_or_equal(age(X30,esk6_1(X30)),tau)
| robust_position(X30) )
& ( greater(age(X30,esk7_1(X30)),tau)
| positional_advantage(X30,esk6_1(X30))
| robust_position(X30) )
& ( ~ positional_advantage(X30,esk7_1(X30))
| positional_advantage(X30,esk6_1(X30))
| robust_position(X30) ) ),
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_35])])])])])])]) ).
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_36]) ).
cnf(c_0_49,negated_conjecture,
( greater(X1,sigma)
| ~ greater(X1,tau) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_50,negated_conjecture,
greater(age(esk1_0,esk5_0),tau),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_51,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_31]) ).
cnf(c_0_52,plain,
( greater(age(X1,X3),sigma)
| ~ dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_53,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_54,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_55,negated_conjecture,
is_aligned(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_34])]) ).
cnf(c_0_56,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| greater(sigma,age(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_42]) ).
cnf(c_0_57,plain,
( hazard_of_mortality(esk1_0,X1) = mod2
| positional_advantage(esk1_0,X1)
| ~ is_aligned(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_58,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_59,negated_conjecture,
smaller(zero,tau),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_60,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_31]) ).
cnf(c_0_61,plain,
( positional_advantage(X1,X2)
| ~ greater(age(X1,X2),tau)
| ~ robust_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_62,negated_conjecture,
robust_position(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_63,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_48,c_0_41]),c_0_34])]) ).
cnf(c_0_64,negated_conjecture,
greater(age(esk1_0,esk5_0),sigma),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_65,plain,
( ~ smaller_or_equal(age(X1,X2),tau)
| ~ positional_advantage(X1,X2)
| ~ robust_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_66,plain,
( hazard_of_mortality(esk1_0,X1) = high
| positional_advantage(esk1_0,X1)
| is_aligned(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_44]) ).
cnf(c_0_67,negated_conjecture,
greater(age(esk1_0,esk4_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_68,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_69,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_54,c_0_55]),c_0_34])]) ).
cnf(c_0_70,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| greater(X1,age(esk1_0,esk3_0))
| ~ greater(X1,sigma) ),
inference(spm,[status(thm)],[c_0_37,c_0_56]) ).
cnf(c_0_71,negated_conjecture,
( hazard_of_mortality(esk1_0,esk2_0) = mod2
| positional_advantage(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_55]) ).
cnf(c_0_72,negated_conjecture,
smaller_or_equal(zero,tau),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_73,plain,
( hazard_of_mortality(esk1_0,X1) = mod1
| is_aligned(esk1_0,X1)
| ~ positional_advantage(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_44]) ).
cnf(c_0_74,negated_conjecture,
positional_advantage(esk1_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_50]),c_0_62])]) ).
cnf(c_0_75,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_76,negated_conjecture,
dissimilar(esk1_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_77,plain,
( hazard_of_mortality(esk1_0,X1) = high
| is_aligned(esk1_0,X1)
| ~ smaller_or_equal(age(esk1_0,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_62])]) ).
cnf(c_0_78,negated_conjecture,
smaller_or_equal(age(esk1_0,esk4_0),tau),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_79,negated_conjecture,
dissimilar(esk1_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_63,c_0_67]) ).
cnf(c_0_80,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_68,c_0_69]),c_0_41])]) ).
cnf(c_0_81,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| greater(tau,age(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_38]) ).
fof(c_0_82,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_83,negated_conjecture,
( ~ smaller(hazard_of_mortality(esk1_0,esk5_0),hazard_of_mortality(esk1_0,esk3_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk4_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_84,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_65,c_0_71]),c_0_62]),c_0_41]),c_0_72])]) ).
cnf(c_0_85,negated_conjecture,
( hazard_of_mortality(esk1_0,esk5_0) = mod1
| is_aligned(esk1_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_86,negated_conjecture,
~ is_aligned(esk1_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_55])]) ).
cnf(c_0_87,negated_conjecture,
( hazard_of_mortality(esk1_0,esk4_0) = high
| is_aligned(esk1_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,negated_conjecture,
~ is_aligned(esk1_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_79]),c_0_55])]) ).
cnf(c_0_89,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_57,c_0_80]) ).
cnf(c_0_90,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| smaller(age(esk1_0,esk3_0),tau) ),
inference(spm,[status(thm)],[c_0_45,c_0_81]) ).
cnf(c_0_91,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_92,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) != mod2
| ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk4_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk5_0),hazard_of_mortality(esk1_0,esk3_0)) ),
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,negated_conjecture,
hazard_of_mortality(esk1_0,esk5_0) = mod1,
inference(sr,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
hazard_of_mortality(esk1_0,esk4_0) = high,
inference(sr,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,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_65,c_0_89]),c_0_62])]) ).
cnf(c_0_96,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| smaller_or_equal(age(esk1_0,esk3_0),tau) ),
inference(spm,[status(thm)],[c_0_58,c_0_90]) ).
cnf(c_0_97,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| ~ greater(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_91,c_0_56]) ).
cnf(c_0_98,plain,
greater(high,mod2),
inference(split_conjunct,[status(thm)],[assumption_18d]) ).
cnf(c_0_99,plain,
greater(mod2,mod1),
inference(split_conjunct,[status(thm)],[assumption_19]) ).
cnf(c_0_100,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) != mod2
| ~ smaller(hazard_of_mortality(esk1_0,esk3_0),high)
| ~ smaller(mod1,hazard_of_mortality(esk1_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_101,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| hazard_of_mortality(esk1_0,esk3_0) = mod2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_102,plain,
smaller(mod2,high),
inference(spm,[status(thm)],[c_0_45,c_0_98]) ).
cnf(c_0_103,plain,
smaller(mod1,mod2),
inference(spm,[status(thm)],[c_0_45,c_0_99]) ).
cnf(c_0_104,negated_conjecture,
age(esk1_0,esk3_0) = sigma,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103])]) ).
cnf(c_0_105,negated_conjecture,
smaller_or_equal(sigma,tau),
inference(spm,[status(thm)],[c_0_58,c_0_27]) ).
cnf(c_0_106,plain,
( hazard_of_mortality(esk1_0,esk3_0) = mod2
| greater(sigma,sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_104]),c_0_105])]) ).
cnf(c_0_107,negated_conjecture,
greater(sigma,sigma),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_106]),c_0_102]),c_0_103])]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_107]),c_0_107])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : MGT063+1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n020.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Jun 19 18:04:54 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.mhgrKJUfO4/E---3.1_29245.p
% 0.16/0.46 # Version: 3.2.0
% 0.16/0.46 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 # Starting sh5l with 300s (1) cores
% 0.16/0.46 # new_bool_3 with pid 29324 completed with status 0
% 0.16/0.46 # Result found by new_bool_3
% 0.16/0.46 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.16/0.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.16/0.46 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 29327 completed with status 0
% 0.16/0.46 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 0.16/0.46 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.16/0.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.16/0.46 # Preprocessing time : 0.001 s
% 0.16/0.46 # Presaturation interreduction done
% 0.16/0.46
% 0.16/0.46 # Proof found!
% 0.16/0.46 # SZS status Theorem
% 0.16/0.46 # SZS output start CNFRefutation
% See solution above
% 0.16/0.46 # Parsed axioms : 20
% 0.16/0.46 # Removed by relevancy pruning/SinE : 2
% 0.16/0.46 # Initial clauses : 47
% 0.16/0.46 # Removed in clause preprocessing : 0
% 0.16/0.46 # Initial clauses in saturation : 47
% 0.16/0.46 # Processed clauses : 301
% 0.16/0.46 # ...of these trivial : 0
% 0.16/0.46 # ...subsumed : 33
% 0.16/0.46 # ...remaining for further processing : 268
% 0.16/0.46 # Other redundant clauses eliminated : 1
% 0.16/0.46 # Clauses deleted for lack of memory : 0
% 0.16/0.46 # Backward-subsumed : 0
% 0.16/0.46 # Backward-rewritten : 37
% 0.16/0.46 # Generated clauses : 414
% 0.16/0.46 # ...of the previous two non-redundant : 311
% 0.16/0.46 # ...aggressively subsumed : 0
% 0.16/0.46 # Contextual simplify-reflections : 2
% 0.16/0.46 # Paramodulations : 407
% 0.16/0.46 # Factorizations : 4
% 0.16/0.46 # NegExts : 0
% 0.16/0.46 # Equation resolutions : 1
% 0.16/0.46 # Disequality decompositions : 0
% 0.16/0.46 # Total rewrite steps : 230
% 0.16/0.46 # ...of those cached : 178
% 0.16/0.46 # Propositional unsat checks : 0
% 0.16/0.46 # Propositional check models : 0
% 0.16/0.46 # Propositional check unsatisfiable : 0
% 0.16/0.46 # Propositional clauses : 0
% 0.16/0.46 # Propositional clauses after purity: 0
% 0.16/0.46 # Propositional unsat core size : 0
% 0.16/0.46 # Propositional preprocessing time : 0.000
% 0.16/0.46 # Propositional encoding time : 0.000
% 0.16/0.46 # Propositional solver time : 0.000
% 0.16/0.46 # Success case prop preproc time : 0.000
% 0.16/0.46 # Success case prop encoding time : 0.000
% 0.16/0.46 # Success case prop solver time : 0.000
% 0.16/0.46 # Current number of processed clauses : 181
% 0.16/0.46 # Positive orientable unit clauses : 69
% 0.16/0.46 # Positive unorientable unit clauses: 0
% 0.16/0.46 # Negative unit clauses : 22
% 0.16/0.46 # Non-unit-clauses : 90
% 0.16/0.46 # Current number of unprocessed clauses: 101
% 0.16/0.46 # ...number of literals in the above : 363
% 0.16/0.46 # Current number of archived formulas : 0
% 0.16/0.46 # Current number of archived clauses : 86
% 0.16/0.46 # Clause-clause subsumption calls (NU) : 1398
% 0.16/0.46 # Rec. Clause-clause subsumption calls : 820
% 0.16/0.46 # Non-unit clause-clause subsumptions : 32
% 0.16/0.46 # Unit Clause-clause subsumption calls : 382
% 0.16/0.46 # Rewrite failures with RHS unbound : 0
% 0.16/0.46 # BW rewrite match attempts : 10
% 0.16/0.46 # BW rewrite match successes : 5
% 0.16/0.46 # Condensation attempts : 0
% 0.16/0.46 # Condensation successes : 0
% 0.16/0.46 # Termbank termtop insertions : 7481
% 0.16/0.46 # Search garbage collected termcells : 639
% 0.16/0.46
% 0.16/0.46 # -------------------------------------------------
% 0.16/0.46 # User time : 0.016 s
% 0.16/0.46 # System time : 0.004 s
% 0.16/0.46 # Total time : 0.020 s
% 0.16/0.46 # Maximum resident set size: 1880 pages
% 0.16/0.46
% 0.16/0.46 # -------------------------------------------------
% 0.16/0.46 # User time : 0.017 s
% 0.16/0.46 # System time : 0.006 s
% 0.16/0.46 # Total time : 0.023 s
% 0.16/0.46 # Maximum resident set size: 1704 pages
% 0.16/0.46 % E---3.1 exiting
% 0.16/0.46 % E exiting
%------------------------------------------------------------------------------