TSTP Solution File: MGT064+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : MGT064+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 : 600s
% DateTime : Sun Jul 17 22:10:17 EDT 2022
% Result : Theorem 0.17s 1.36s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 102 ( 21 unt; 0 def)
% Number of atoms : 394 ( 69 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 462 ( 170 ~; 176 |; 82 &)
% ( 7 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 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 : 155 ( 16 sgn 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.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/solver/bin/../tmp/theBenchmark.p',theorem_10) ).
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_1,axiom,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',assumption_1) ).
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/solver/bin/../tmp/theBenchmark.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/solver/bin/../tmp/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/sandbox/solver/bin/../tmp/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/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(assumption_13,axiom,
! [X1,X4] :
( ( organization(X1)
& age(X1,X4) = zero )
=> is_aligned(X1,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',assumption_13) ).
fof(assumption_18b,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',assumption_18b) ).
fof(assumption_19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',assumption_19) ).
fof(meaning_postulate_greater_strict,axiom,
! [X1,X2] :
~ ( greater(X1,X2)
& greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(c_0_13,plain,
! [X4,X1] :
( epred1_2(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 ) ) ),
introduced(definition) ).
fof(c_0_14,plain,
! [X4,X1] :
( epred1_2(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 ) ) ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
fof(c_0_15,axiom,
! [X1,X4] :
( organization(X1)
=> ( ( has_immunity(X1,X4)
=> hazard_of_mortality(X1,X4) = very_low )
& ( ~ has_immunity(X1,X4)
=> epred1_2(X1,X4) ) ) ),
inference(apply_def,[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(assume_negation,[status(cth)],[theorem_10]) ).
fof(c_0_17,plain,
! [X5,X6] :
( ( ~ is_aligned(X6,X5)
| ~ positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = low
| ~ epred1_2(X6,X5) )
& ( is_aligned(X6,X5)
| ~ positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = mod1
| ~ epred1_2(X6,X5) )
& ( ~ is_aligned(X6,X5)
| positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = mod2
| ~ epred1_2(X6,X5) )
& ( is_aligned(X6,X5)
| positional_advantage(X6,X5)
| hazard_of_mortality(X6,X5) = high
| ~ epred1_2(X6,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_14])])])]) ).
fof(c_0_18,plain,
! [X5,X6,X6] :
( ( ~ has_immunity(X5,X6)
| hazard_of_mortality(X5,X6) = very_low
| ~ organization(X5) )
& ( has_immunity(X5,X6)
| epred1_2(X5,X6)
| ~ organization(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_15])])])])])]) ).
fof(c_0_19,negated_conjecture,
( organization(esk5_0)
& robust_position(esk5_0)
& ~ has_endowment(esk5_0)
& age(esk5_0,esk6_0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(sigma,tau)
& smaller_or_equal(age(esk5_0,esk7_0),tau)
& greater(age(esk5_0,esk8_0),tau)
& smaller_or_equal(age(esk5_0,esk8_0),sigma)
& greater(age(esk5_0,esk9_0),sigma)
& ( ~ smaller(hazard_of_mortality(esk5_0,esk8_0),hazard_of_mortality(esk5_0,esk9_0))
| ~ smaller(hazard_of_mortality(esk5_0,esk9_0),hazard_of_mortality(esk5_0,esk7_0))
| hazard_of_mortality(esk5_0,esk7_0) != hazard_of_mortality(esk5_0,esk6_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_16])])])]) ).
fof(c_0_20,plain,
! [X3,X4,X3,X4] :
( ( ~ smaller(X3,X4)
| greater(X4,X3) )
& ( ~ greater(X4,X3)
| smaller(X3,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])])]) ).
fof(c_0_21,plain,
! [X5,X6] :
( ~ organization(X5)
| has_endowment(X5)
| ~ has_immunity(X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_1])])])])]) ).
cnf(c_0_22,plain,
( hazard_of_mortality(X1,X2) = low
| ~ epred1_2(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( epred1_2(X1,X2)
| has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X5,X6,X6,X5] :
( ( ~ smaller_or_equal(age(X5,X6),tau)
| ~ positional_advantage(X5,X6)
| ~ robust_position(X5) )
& ( ~ greater(age(X5,X6),tau)
| positional_advantage(X5,X6)
| ~ robust_position(X5) )
& ( greater(age(X5,esk4_1(X5)),tau)
| smaller_or_equal(age(X5,esk3_1(X5)),tau)
| robust_position(X5) )
& ( ~ positional_advantage(X5,esk4_1(X5))
| smaller_or_equal(age(X5,esk3_1(X5)),tau)
| robust_position(X5) )
& ( greater(age(X5,esk4_1(X5)),tau)
| positional_advantage(X5,esk3_1(X5))
| robust_position(X5) )
& ( ~ positional_advantage(X5,esk4_1(X5))
| positional_advantage(X5,esk3_1(X5))
| robust_position(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[definition_4])])])])])])])]) ).
cnf(c_0_25,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| ~ epred1_2(X1,X2)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,plain,
! [X6,X7,X8,X8] :
( ( ~ greater(age(X6,X8),sigma)
| dissimilar(X6,X7,X8)
| ~ organization(X6)
| age(X6,X7) != zero )
& ( ~ dissimilar(X6,X7,X8)
| greater(age(X6,X8),sigma)
| ~ organization(X6)
| age(X6,X7) != zero ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])])])]) ).
fof(c_0_27,plain,
! [X6,X7,X8,X6,X7,X8] :
( ( organization(X6)
| ~ dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X7)
| ~ is_aligned(X6,X8)
| ~ dissimilar(X6,X7,X8) )
& ( is_aligned(X6,X7)
| is_aligned(X6,X8)
| ~ dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X7)
| is_aligned(X6,X8)
| ~ organization(X6)
| dissimilar(X6,X7,X8) )
& ( ~ is_aligned(X6,X8)
| is_aligned(X6,X7)
| ~ organization(X6)
| dissimilar(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])])]) ).
cnf(c_0_28,negated_conjecture,
( hazard_of_mortality(esk5_0,esk7_0) != hazard_of_mortality(esk5_0,esk6_0)
| ~ smaller(hazard_of_mortality(esk5_0,esk9_0),hazard_of_mortality(esk5_0,esk7_0))
| ~ smaller(hazard_of_mortality(esk5_0,esk8_0),hazard_of_mortality(esk5_0,esk9_0)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
( has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( hazard_of_mortality(X1,X2) = low
| has_immunity(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,plain,
( positional_advantage(X1,X2)
| ~ robust_position(X1)
| ~ greater(age(X1,X2),tau) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
robust_position(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_34,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| ~ epred1_2(X1,X2)
| ~ positional_advantage(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_35,plain,
! [X4,X5,X6] :
( ~ greater(X4,X5)
| ~ greater(X5,X6)
| greater(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).
fof(c_0_36,plain,
! [X3,X4,X3,X4] :
( ( ~ smaller_or_equal(X3,X4)
| smaller(X3,X4)
| X3 = X4 )
& ( ~ smaller(X3,X4)
| smaller_or_equal(X3,X4) )
& ( X3 != X4
| smaller_or_equal(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])])])]) ).
cnf(c_0_37,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| has_immunity(X1,X2)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
fof(c_0_38,plain,
! [X5,X6] :
( ~ organization(X5)
| age(X5,X6) != zero
| is_aligned(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).
cnf(c_0_39,plain,
( greater(age(X1,X3),sigma)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,negated_conjecture,
( hazard_of_mortality(esk5_0,esk6_0) != hazard_of_mortality(esk5_0,esk7_0)
| ~ greater(hazard_of_mortality(esk5_0,esk7_0),hazard_of_mortality(esk5_0,esk9_0))
| ~ smaller(hazard_of_mortality(esk5_0,esk8_0),hazard_of_mortality(esk5_0,esk9_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_42,plain,
( hazard_of_mortality(X1,X2) = low
| has_endowment(X1)
| ~ positional_advantage(X1,X2)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_43,negated_conjecture,
( positional_advantage(esk5_0,X1)
| ~ greater(age(esk5_0,X1),tau) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
organization(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_45,negated_conjecture,
~ has_endowment(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_46,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| has_immunity(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_47,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,negated_conjecture,
greater(sigma,tau),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_49,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| has_endowment(X1)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_51,plain,
( is_aligned(X1,X2)
| age(X1,X2) != zero
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_52,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_53,plain,
( dissimilar(X1,X2,X3)
| is_aligned(X1,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_54,negated_conjecture,
( hazard_of_mortality(esk5_0,esk6_0) != hazard_of_mortality(esk5_0,esk7_0)
| ~ greater(hazard_of_mortality(esk5_0,esk7_0),hazard_of_mortality(esk5_0,esk9_0))
| ~ greater(hazard_of_mortality(esk5_0,esk9_0),hazard_of_mortality(esk5_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_29]) ).
cnf(c_0_55,negated_conjecture,
( hazard_of_mortality(esk5_0,X1) = low
| ~ is_aligned(esk5_0,X1)
| ~ greater(age(esk5_0,X1),tau) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_56,negated_conjecture,
greater(age(esk5_0,esk8_0),tau),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_57,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| has_endowment(X1)
| ~ positional_advantage(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_46]) ).
cnf(c_0_58,negated_conjecture,
( greater(X1,tau)
| ~ greater(X1,sigma) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,negated_conjecture,
greater(age(esk5_0,esk9_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_60,plain,
( ~ robust_position(X1)
| ~ positional_advantage(X1,X2)
| ~ smaller_or_equal(age(X1,X2),tau) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_61,plain,
( smaller_or_equal(X1,X2)
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_29]) ).
cnf(c_0_62,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| has_endowment(X1)
| age(X1,X2) != zero
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_63,negated_conjecture,
age(esk5_0,esk6_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_64,plain,
( is_aligned(X1,X2)
| greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ organization(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_51]) ).
cnf(c_0_65,negated_conjecture,
( hazard_of_mortality(esk5_0,esk6_0) != hazard_of_mortality(esk5_0,esk7_0)
| ~ is_aligned(esk5_0,esk8_0)
| ~ greater(hazard_of_mortality(esk5_0,esk7_0),hazard_of_mortality(esk5_0,esk9_0))
| ~ greater(hazard_of_mortality(esk5_0,esk9_0),low) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_66,negated_conjecture,
( hazard_of_mortality(esk5_0,X1) = mod1
| is_aligned(esk5_0,X1)
| ~ greater(age(esk5_0,X1),tau) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_67,plain,
greater(mod1,low),
inference(split_conjunct,[status(thm)],[assumption_18b]) ).
cnf(c_0_68,negated_conjecture,
greater(age(esk5_0,esk9_0),tau),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_69,plain,
( ~ positional_advantage(X1,X2)
| ~ robust_position(X1)
| ~ greater(tau,age(X1,X2)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( hazard_of_mortality(esk5_0,esk6_0) = mod2
| positional_advantage(esk5_0,esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_44])]),c_0_45]) ).
cnf(c_0_71,negated_conjecture,
greater(tau,zero),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_72,negated_conjecture,
smaller_or_equal(age(esk5_0,esk7_0),tau),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_73,negated_conjecture,
( is_aligned(esk5_0,X1)
| greater(age(esk5_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_63]),c_0_44])]) ).
cnf(c_0_74,plain,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X3)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_75,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_76,negated_conjecture,
( is_aligned(esk5_0,esk9_0)
| hazard_of_mortality(esk5_0,esk6_0) != hazard_of_mortality(esk5_0,esk7_0)
| ~ is_aligned(esk5_0,esk8_0)
| ~ greater(hazard_of_mortality(esk5_0,esk7_0),mod1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68])]) ).
cnf(c_0_77,negated_conjecture,
hazard_of_mortality(esk5_0,esk6_0) = mod2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_33]),c_0_63]),c_0_71])]) ).
cnf(c_0_78,negated_conjecture,
~ positional_advantage(esk5_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_72]),c_0_33])]) ).
cnf(c_0_79,negated_conjecture,
( hazard_of_mortality(esk5_0,X1) = mod2
| positional_advantage(esk5_0,X1)
| greater(age(esk5_0,X1),sigma) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_73]),c_0_44])]),c_0_45]) ).
cnf(c_0_80,plain,
( greater(X1,X2)
| ~ smaller(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_81,plain,
( X1 = X2
| smaller(X1,X2)
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_82,plain,
( age(X1,X2) != zero
| ~ is_aligned(X1,X3)
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_51]) ).
cnf(c_0_83,negated_conjecture,
( is_aligned(esk5_0,esk9_0)
| hazard_of_mortality(esk5_0,esk7_0) != mod2
| ~ is_aligned(esk5_0,esk8_0)
| ~ greater(hazard_of_mortality(esk5_0,esk7_0),mod1) ),
inference(rw,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,negated_conjecture,
( hazard_of_mortality(esk5_0,esk7_0) = mod2
| greater(age(esk5_0,esk7_0),sigma) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,plain,
greater(mod2,mod1),
inference(split_conjunct,[status(thm)],[assumption_19]) ).
fof(c_0_86,plain,
! [X3,X4] :
( ~ greater(X3,X4)
| ~ greater(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])]) ).
cnf(c_0_87,plain,
( X1 = X2
| greater(X2,X1)
| ~ smaller_or_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,negated_conjecture,
smaller_or_equal(age(esk5_0,esk8_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_89,negated_conjecture,
( ~ is_aligned(esk5_0,X1)
| ~ greater(age(esk5_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_63]),c_0_44])]) ).
cnf(c_0_90,negated_conjecture,
( is_aligned(esk5_0,esk9_0)
| greater(age(esk5_0,esk7_0),sigma)
| ~ is_aligned(esk5_0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_91,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( age(esk5_0,esk8_0) = sigma
| greater(sigma,age(esk5_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( greater(age(esk5_0,esk7_0),sigma)
| ~ is_aligned(esk5_0,esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_59])]) ).
cnf(c_0_94,negated_conjecture,
( age(esk5_0,esk8_0) = sigma
| ~ greater(age(esk5_0,esk8_0),sigma) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,negated_conjecture,
( greater(age(esk5_0,esk8_0),sigma)
| greater(age(esk5_0,esk7_0),sigma) ),
inference(spm,[status(thm)],[c_0_93,c_0_73]) ).
cnf(c_0_96,negated_conjecture,
( age(esk5_0,esk8_0) = sigma
| greater(age(esk5_0,esk7_0),sigma) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_97,negated_conjecture,
~ greater(age(esk5_0,esk7_0),tau),
inference(spm,[status(thm)],[c_0_78,c_0_43]) ).
cnf(c_0_98,negated_conjecture,
age(esk5_0,esk8_0) = sigma,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_96]),c_0_97]) ).
cnf(c_0_99,negated_conjecture,
( greater(age(esk5_0,esk7_0),sigma)
| greater(sigma,sigma) ),
inference(rw,[status(thm)],[c_0_95,c_0_98]) ).
cnf(c_0_100,negated_conjecture,
greater(sigma,sigma),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_99]),c_0_97]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_100]),c_0_100])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : MGT064+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.10 % Command : run_ET %s %d
% 0.10/0.30 % Computer : n032.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 : 600
% 0.10/0.30 % DateTime : Thu Jun 9 08:39:07 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.17/1.36 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.17/1.36 # Preprocessing time : 0.012 s
% 0.17/1.36
% 0.17/1.36 # Proof found!
% 0.17/1.36 # SZS status Theorem
% 0.17/1.36 # SZS output start CNFRefutation
% See solution above
% 0.17/1.36 # Proof object total steps : 102
% 0.17/1.36 # Proof object clause steps : 73
% 0.17/1.36 # Proof object formula steps : 29
% 0.17/1.36 # Proof object conjectures : 42
% 0.17/1.36 # Proof object clause conjectures : 39
% 0.17/1.36 # Proof object formula conjectures : 3
% 0.17/1.36 # Proof object initial clauses used : 32
% 0.17/1.36 # Proof object initial formulas used : 13
% 0.17/1.36 # Proof object generating inferences : 38
% 0.17/1.36 # Proof object simplifying inferences : 40
% 0.17/1.36 # Training examples: 0 positive, 0 negative
% 0.17/1.36 # Parsed axioms : 20
% 0.17/1.36 # Removed by relevancy pruning/SinE : 0
% 0.17/1.36 # Initial clauses : 57
% 0.17/1.36 # Removed in clause preprocessing : 0
% 0.17/1.36 # Initial clauses in saturation : 57
% 0.17/1.36 # Processed clauses : 2798
% 0.17/1.36 # ...of these trivial : 4
% 0.17/1.36 # ...subsumed : 1597
% 0.17/1.36 # ...remaining for further processing : 1197
% 0.17/1.36 # Other redundant clauses eliminated : 2
% 0.17/1.36 # Clauses deleted for lack of memory : 0
% 0.17/1.36 # Backward-subsumed : 47
% 0.17/1.36 # Backward-rewritten : 231
% 0.17/1.36 # Generated clauses : 27425
% 0.17/1.36 # ...of the previous two non-trivial : 21120
% 0.17/1.36 # Contextual simplify-reflections : 1142
% 0.17/1.36 # Paramodulations : 27306
% 0.17/1.36 # Factorizations : 116
% 0.17/1.36 # Equation resolutions : 2
% 0.17/1.36 # Current number of processed clauses : 916
% 0.17/1.36 # Positive orientable unit clauses : 22
% 0.17/1.36 # Positive unorientable unit clauses: 0
% 0.17/1.36 # Negative unit clauses : 22
% 0.17/1.36 # Non-unit-clauses : 872
% 0.17/1.36 # Current number of unprocessed clauses: 13037
% 0.17/1.36 # ...number of literals in the above : 75953
% 0.17/1.36 # Current number of archived formulas : 0
% 0.17/1.36 # Current number of archived clauses : 279
% 0.17/1.36 # Clause-clause subsumption calls (NU) : 470523
% 0.17/1.36 # Rec. Clause-clause subsumption calls : 147302
% 0.17/1.36 # Non-unit clause-clause subsumptions : 2410
% 0.17/1.36 # Unit Clause-clause subsumption calls : 1923
% 0.17/1.36 # Rewrite failures with RHS unbound : 0
% 0.17/1.36 # BW rewrite match attempts : 12
% 0.17/1.36 # BW rewrite match successes : 4
% 0.17/1.36 # Condensation attempts : 0
% 0.17/1.36 # Condensation successes : 0
% 0.17/1.36 # Termbank termtop insertions : 399262
% 0.17/1.36
% 0.17/1.36 # -------------------------------------------------
% 0.17/1.36 # User time : 0.446 s
% 0.17/1.36 # System time : 0.006 s
% 0.17/1.36 # Total time : 0.452 s
% 0.17/1.36 # Maximum resident set size: 16976 pages
% 0.17/23.35 eprover: CPU time limit exceeded, terminating
% 0.17/23.36 eprover: CPU time limit exceeded, terminating
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.37 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.38 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: CPU time limit exceeded, terminating
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.39 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.40 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.41 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.41 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.41 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.41 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.41 eprover: No such file or directory
% 0.17/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.17/23.41 eprover: No such file or directory
% 0.17/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.42 eprover: No such file or directory
% 0.17/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.42 eprover: No such file or directory
% 0.17/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.43 eprover: No such file or directory
% 0.17/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.43 eprover: No such file or directory
% 0.17/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.44 eprover: No such file or directory
% 0.17/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.44 eprover: No such file or directory
% 0.17/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.45 eprover: No such file or directory
% 0.17/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.17/23.45 eprover: No such file or directory
%------------------------------------------------------------------------------