%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT062+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:26:58 PM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 26 unt; 0 def)
% Number of atoms : 333 ( 66 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 379 ( 137 ~; 120 |; 84 &)
% ( 8 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 124 ( 6 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_8,conjecture,
! [X1,X5,X6,X7] :
( ( greater(age(X1,X7),sigma)
& smaller_or_equal(age(X1,X6),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(X1,X5) = zero
& ~ has_endowment(X1)
& robust_position(X1)
& organization(X1) )
=> ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
& smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8) ).
fof(assumption_1,axiom,
! [X1,X4] :
( ( ~ has_endowment(X1)
& organization(X1) )
=> ~ has_immunity(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
fof(assumption_17,axiom,
! [X1,X4] :
( organization(X1)
=> ( ( ~ has_immunity(X1,X4)
=> ( ( ( ~ positional_advantage(X1,X4)
& ~ is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = high )
& ( ( ~ positional_advantage(X1,X4)
& is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( positional_advantage(X1,X4)
& ~ is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( positional_advantage(X1,X4)
& is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = low ) ) )
& ( has_immunity(X1,X4)
=> hazard_of_mortality(X1,X4) = very_low ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).
fof(assumption_15,axiom,
! [X1,X5,X4] :
( ( age(X1,X5) = zero
& organization(X1) )
=> ( greater(age(X1,X4),sigma)
<=> dissimilar(X1,X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).
fof(definition_2,axiom,
! [X1,X5,X4] :
( dissimilar(X1,X5,X4)
<=> ( ~ ( is_aligned(X1,X5)
<=> is_aligned(X1,X4) )
& organization(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(assumption_13,axiom,
! [X1,X4] :
( ( age(X1,X4) = zero
& organization(X1) )
=> is_aligned(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).
fof(definition_4,axiom,
! [X1] :
( robust_position(X1)
<=> ! [X4] :
( ( greater(age(X1,X4),tau)
=> positional_advantage(X1,X4) )
& ( smaller_or_equal(age(X1,X4),tau)
=> ~ positional_advantage(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( X1 = X2
| smaller(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(meaning_postulate_greater_strict,axiom,
! [X1,X2] :
~ ( greater(X2,X1)
& greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(assumption_19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_19) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( greater(age(X1,X7),sigma)
& smaller_or_equal(age(X1,X6),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(X1,X5) = zero
& ~ has_endowment(X1)
& robust_position(X1)
& organization(X1) )
=> ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
& smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ) ),
inference(assume_negation,[status(cth)],[theorem_8]) ).
fof(c_0_12,plain,
! [X1,X4] :
( epred1_2(X4,X1)
<=> ( ( ( ~ positional_advantage(X1,X4)
& ~ is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = high )
& ( ( ~ positional_advantage(X1,X4)
& is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( positional_advantage(X1,X4)
& ~ is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( positional_advantage(X1,X4)
& is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = low ) ) ),
introduced(definition) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( greater(age(X1,X7),sigma)
& smaller_or_equal(age(X1,X6),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(X1,X5) = zero
& ~ has_endowment(X1)
& robust_position(X1)
& organization(X1) )
=> ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
& smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X1,X4] :
( ( ~ has_endowment(X1)
& organization(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)
=> epred1_2(X4,X1) )
& ( has_immunity(X1,X4)
=> hazard_of_mortality(X1,X4) = very_low ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_17]),c_0_12]) ).
fof(c_0_16,plain,
! [X28,X29,X30] :
( ( age(X28,X29) != zero
| ~ organization(X28)
| greater(age(X28,X30),sigma)
| ~ dissimilar(X28,X29,X30) )
& ( age(X28,X29) != zero
| ~ organization(X28)
| dissimilar(X28,X29,X30)
| ~ greater(age(X28,X30),sigma) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])])]) ).
fof(c_0_17,negated_conjecture,
( ( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
| ~ smaller(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) )
& greater(age(esk3_0,esk6_0),sigma)
& smaller_or_equal(age(esk3_0,esk5_0),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(esk3_0,esk4_0) = zero
& ~ has_endowment(esk3_0)
& robust_position(esk3_0)
& organization(esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_18,plain,
! [X21,X22] :
( ~ has_immunity(X21,X22)
| has_endowment(X21)
| ~ organization(X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_19,plain,
! [X37,X38] :
( ( ~ organization(X37)
| epred1_2(X38,X37)
| has_immunity(X37,X38) )
& ( ~ organization(X37)
| hazard_of_mortality(X37,X38) = very_low
| ~ has_immunity(X37,X38) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_20,plain,
! [X23,X24,X25] :
( ( dissimilar(X23,X24,X25)
| ~ organization(X23)
| is_aligned(X23,X24)
| ~ is_aligned(X23,X25) )
& ( dissimilar(X23,X24,X25)
| ~ organization(X23)
| is_aligned(X23,X25)
| ~ is_aligned(X23,X24) )
& ( ~ dissimilar(X23,X24,X25)
| is_aligned(X23,X25)
| is_aligned(X23,X24) )
& ( ~ dissimilar(X23,X24,X25)
| ~ is_aligned(X23,X25)
| ~ is_aligned(X23,X24) )
& ( ~ dissimilar(X23,X24,X25)
| organization(X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])]) ).
cnf(c_0_21,plain,
( age(X1,X3) != zero
| ~ organization(X1)
| ~ greater(age(X1,X2),sigma)
| dissimilar(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
sigma = tau,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
! [X26,X27] :
( is_aligned(X26,X27)
| age(X26,X27) != zero
| ~ organization(X26) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])])]) ).
fof(c_0_24,plain,
! [X1,X4] :
( epred1_2(X4,X1)
=> ( ( ( ~ positional_advantage(X1,X4)
& ~ is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = high )
& ( ( ~ positional_advantage(X1,X4)
& is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( positional_advantage(X1,X4)
& ~ is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( positional_advantage(X1,X4)
& is_aligned(X1,X4) )
=> hazard_of_mortality(X1,X4) = low ) ) ),
inference(split_equiv,[status(thm)],[c_0_12]) ).
cnf(c_0_25,plain,
( ~ has_immunity(X1,X2)
| ~ organization(X1)
| has_endowment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( ~ organization(X1)
| epred1_2(X2,X1)
| has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_27,plain,
! [X1] :
( robust_position(X1)
<=> ! [X4] :
( ( greater(age(X1,X4),tau)
=> positional_advantage(X1,X4) )
& ( smaller_or_equal(age(X1,X4),tau)
=> ~ positional_advantage(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[definition_4]) ).
cnf(c_0_28,plain,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X3)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( ~ greater(age(X1,X3),tau)
| ~ organization(X1)
| age(X1,X2) != zero
| dissimilar(X1,X2,X3) ),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,plain,
( age(X1,X2) != zero
| ~ organization(X1)
| is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_31,plain,
! [X8,X9] :
( ( smaller_or_equal(X8,X9)
| X8 != X9 )
& ( smaller_or_equal(X8,X9)
| ~ smaller(X8,X9) )
& ( X8 = X9
| smaller(X8,X9)
| ~ smaller_or_equal(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])])]) ).
cnf(c_0_32,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_33,plain,
! [X43,X44] :
( ( ~ epred1_2(X44,X43)
| hazard_of_mortality(X43,X44) = high
| positional_advantage(X43,X44)
| is_aligned(X43,X44) )
& ( ~ epred1_2(X44,X43)
| hazard_of_mortality(X43,X44) = mod2
| positional_advantage(X43,X44)
| ~ is_aligned(X43,X44) )
& ( ~ epred1_2(X44,X43)
| hazard_of_mortality(X43,X44) = mod1
| ~ positional_advantage(X43,X44)
| is_aligned(X43,X44) )
& ( ~ epred1_2(X44,X43)
| hazard_of_mortality(X43,X44) = low
| ~ positional_advantage(X43,X44)
| ~ is_aligned(X43,X44) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_34,negated_conjecture,
~ has_endowment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_35,plain,
( ~ organization(X2)
| has_endowment(X2)
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_36,negated_conjecture,
organization(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_37,plain,
! [X31,X32,X33,X34] :
( ( robust_position(X34)
| positional_advantage(X34,esk1_1(X34))
| ~ positional_advantage(X34,esk2_1(X34)) )
& ( robust_position(X34)
| positional_advantage(X34,esk1_1(X34))
| greater(age(X34,esk2_1(X34)),tau) )
& ( robust_position(X34)
| smaller_or_equal(age(X34,esk1_1(X34)),tau)
| ~ positional_advantage(X34,esk2_1(X34)) )
& ( robust_position(X34)
| smaller_or_equal(age(X34,esk1_1(X34)),tau)
| greater(age(X34,esk2_1(X34)),tau) )
& ( ~ robust_position(X31)
| positional_advantage(X31,X33)
| ~ greater(age(X31,X33),tau) )
& ( ~ robust_position(X31)
| ~ positional_advantage(X31,X32)
| ~ smaller_or_equal(age(X31,X32),tau) ) ),
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_27])])])])])])]) ).
cnf(c_0_38,negated_conjecture,
greater(age(esk3_0,esk6_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_39,plain,
( ~ greater(age(X1,X3),tau)
| ~ organization(X1)
| ~ is_aligned(X1,X3)
| age(X1,X2) != zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_40,negated_conjecture,
age(esk3_0,esk4_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_41,plain,
! [X12,X13] :
( ( smaller(X12,X13)
| ~ greater(X13,X12) )
& ( greater(X13,X12)
| ~ smaller(X12,X13) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])]) ).
cnf(c_0_42,plain,
( ~ smaller_or_equal(X1,X2)
| X1 = X2
| smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),tau),
inference(rw,[status(thm)],[c_0_32,c_0_22]) ).
cnf(c_0_44,plain,
( ~ epred1_2(X2,X1)
| ~ positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,negated_conjecture,
epred1_2(X1,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_46,plain,
( ~ robust_position(X1)
| ~ greater(age(X1,X2),tau)
| positional_advantage(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
greater(age(esk3_0,esk6_0),tau),
inference(rw,[status(thm)],[c_0_38,c_0_22]) ).
cnf(c_0_48,negated_conjecture,
robust_position(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_49,negated_conjecture,
( ~ greater(age(esk3_0,X1),tau)
| ~ is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_36])]) ).
cnf(c_0_50,plain,
( ~ robust_position(X1)
| ~ positional_advantage(X1,X2)
| ~ smaller_or_equal(age(X1,X2),tau) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51,plain,
( ~ smaller(X1,X2)
| smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_52,plain,
( ~ greater(X1,X2)
| smaller(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,negated_conjecture,
greater(sigma,zero),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_54,plain,
! [X14,X15] :
( ~ greater(X15,X14)
| ~ greater(X14,X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])])]) ).
cnf(c_0_55,plain,
( ~ smaller(X1,X2)
| greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_56,negated_conjecture,
( smaller(age(esk3_0,esk5_0),tau)
| age(esk3_0,esk5_0) = tau ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_57,plain,
( age(X1,X2) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X2,X3)
| greater(age(X1,X3),sigma) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_58,plain,
( ~ dissimilar(X1,X2,X3)
| organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_59,plain,
( ~ organization(X1)
| ~ is_aligned(X1,X2)
| dissimilar(X1,X2,X3)
| is_aligned(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_60,negated_conjecture,
is_aligned(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_40]),c_0_36])]) ).
cnf(c_0_61,negated_conjecture,
( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
| ~ smaller(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_62,plain,
( ~ positional_advantage(esk3_0,X1)
| is_aligned(esk3_0,X1)
| hazard_of_mortality(esk3_0,X1) = mod1 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_63,negated_conjecture,
positional_advantage(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_64,negated_conjecture,
~ is_aligned(esk3_0,esk6_0),
inference(spm,[status(thm)],[c_0_49,c_0_47]) ).
cnf(c_0_65,plain,
( ~ epred1_2(X2,X1)
| ~ is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_66,negated_conjecture,
( ~ smaller_or_equal(zero,tau)
| ~ positional_advantage(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_40]),c_0_48])]) ).
cnf(c_0_67,plain,
( ~ greater(X2,X1)
| smaller_or_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_68,negated_conjecture,
greater(tau,zero),
inference(rw,[status(thm)],[c_0_53,c_0_22]) ).
cnf(c_0_69,plain,
( ~ greater(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_70,negated_conjecture,
( greater(tau,age(esk3_0,esk5_0))
| age(esk3_0,esk5_0) = tau ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_71,plain,
( ~ dissimilar(X1,X3,X2)
| age(X1,X3) != zero
| greater(age(X1,X2),tau) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_22]),c_0_58]) ).
cnf(c_0_72,negated_conjecture,
( dissimilar(esk3_0,esk4_0,X1)
| is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_36])]) ).
cnf(c_0_73,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk5_0),hazard_of_mortality(esk3_0,esk6_0))
| hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_52]) ).
cnf(c_0_74,negated_conjecture,
hazard_of_mortality(esk3_0,esk6_0) = mod1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_75,plain,
( ~ is_aligned(esk3_0,X1)
| positional_advantage(esk3_0,X1)
| hazard_of_mortality(esk3_0,X1) = mod2 ),
inference(spm,[status(thm)],[c_0_65,c_0_45]) ).
cnf(c_0_76,negated_conjecture,
~ positional_advantage(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_77,negated_conjecture,
( ~ greater(age(esk3_0,esk5_0),tau)
| age(esk3_0,esk5_0) = tau ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_78,negated_conjecture,
( greater(age(esk3_0,X1),tau)
| is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_40])]) ).
cnf(c_0_79,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk5_0),mod1)
| hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0) ),
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,negated_conjecture,
hazard_of_mortality(esk3_0,esk4_0) = mod2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_60]),c_0_76]) ).
cnf(c_0_81,negated_conjecture,
( is_aligned(esk3_0,esk5_0)
| age(esk3_0,esk5_0) = tau ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,negated_conjecture,
~ positional_advantage(esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_48])]) ).
cnf(c_0_83,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk5_0),mod1)
| hazard_of_mortality(esk3_0,esk5_0) != mod2 ),
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,negated_conjecture,
( hazard_of_mortality(esk3_0,esk5_0) = mod2
| age(esk3_0,esk5_0) = tau ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_81]),c_0_82]) ).
cnf(c_0_85,plain,
greater(mod2,mod1),
inference(split_conjunct,[status(thm)],[assumption_19]) ).
cnf(c_0_86,negated_conjecture,
age(esk3_0,esk5_0) = tau,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_87,negated_conjecture,
~ greater(tau,tau),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_86]),c_0_48])]),c_0_82]) ).
cnf(c_0_88,negated_conjecture,
is_aligned(esk3_0,esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_86]),c_0_87]) ).
cnf(c_0_89,plain,
hazard_of_mortality(esk3_0,esk5_0) = mod2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_88]),c_0_82]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_89]),c_0_89]),c_0_85])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT062+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:24:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.44 % Version: 3.5.1
% 0.14/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.44 % Starting sh5l with 300s (1) cores
% 0.14/0.44 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3955000 completed with status 0
% 0.14/0.44 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.14/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.44 % No SInE strategy applied
% 0.14/0.44 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.14/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.14/0.44 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.14/0.44 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.14/0.44 % G-E--_208_C18_F1_AE_CS_SP_PS_S3S with pid 3955010 completed with status 0
% 0.14/0.44 % Result found by G-E--_208_C18_F1_AE_CS_SP_PS_S3S
% 0.14/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.44 % No SInE strategy applied
% 0.14/0.44 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.14/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.14/0.44 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.14/0.44 % Preprocessing time : 0.001 s
% 0.14/0.44 % Presaturation interreduction done
% 0.14/0.44
% 0.14/0.44 % Proof found!
% 0.14/0.44 % SZS status Theorem
% 0.14/0.44 % SZS output start CNFRefutation
% See solution above
% 0.14/0.44 % Parsed axioms : 14
% 0.14/0.44 % Removed by relevancy pruning/SinE : 0
% 0.14/0.44 % Initial clauses : 43
% 0.14/0.44 % Removed in clause preprocessing : 0
% 0.14/0.44 % Initial clauses in saturation : 43
% 0.14/0.44 % Processed clauses : 189
% 0.14/0.44 % ...of these trivial : 1
% 0.14/0.44 % ...subsumed : 35
% 0.14/0.44 % ...remaining for further processing : 153
% 0.14/0.44 % Other redundant clauses eliminated : 2
% 0.14/0.44 % Clauses deleted for lack of memory : 0
% 0.14/0.44 % Backward-subsumed : 4
% 0.14/0.44 % Backward-rewritten : 23
% 0.14/0.44 % Generated clauses : 198
% 0.14/0.44 % ...of the previous two non-redundant : 174
% 0.14/0.44 % ...aggressively subsumed : 0
% 0.14/0.44 % Contextual simplify-reflections : 2
% 0.14/0.44 % Paramodulations : 194
% 0.14/0.44 % Factorizations : 2
% 0.14/0.44 % NegExts : 0
% 0.14/0.44 % Equation resolutions : 2
% 0.14/0.44 % Disequality decompositions : 0
% 0.14/0.44 % Total rewrite steps : 108
% 0.14/0.44 % ...of those cached : 93
% 0.14/0.44 % Propositional unsat checks : 0
% 0.14/0.44 % Propositional check models : 0
% 0.14/0.44 % Propositional check unsatisfiable : 0
% 0.14/0.44 % Propositional clauses : 0
% 0.14/0.44 % Propositional clauses after purity: 0
% 0.14/0.44 % Propositional unsat core size : 0
% 0.14/0.44 % Propositional preprocessing time : 0.000
% 0.14/0.44 % Propositional encoding time : 0.000
% 0.14/0.44 % Propositional solver time : 0.000
% 0.14/0.44 % Success case prop preproc time : 0.000
% 0.14/0.44 % Success case prop encoding time : 0.000
% 0.14/0.44 % Success case prop solver time : 0.000
% 0.14/0.44 % Current number of processed clauses : 82
% 0.14/0.44 % Positive orientable unit clauses : 17
% 0.14/0.44 % Positive unorientable unit clauses: 0
% 0.14/0.44 % Negative unit clauses : 10
% 0.14/0.44 % Non-unit-clauses : 55
% 0.14/0.44 % Current number of unprocessed clauses: 63
% 0.14/0.44 % ...number of literals in the above : 221
% 0.14/0.44 % Current number of archived formulas : 0
% 0.14/0.44 % Current number of archived clauses : 69
% 0.14/0.44 % Clause-clause subsumption calls (NU) : 795
% 0.14/0.44 % Rec. Clause-clause subsumption calls : 628
% 0.14/0.44 % Non-unit clause-clause subsumptions : 17
% 0.14/0.44 % Unit Clause-clause subsumption calls : 175
% 0.14/0.44 % Rewrite failures with RHS unbound : 0
% 0.14/0.44 % BW rewrite match attempts : 6
% 0.14/0.44 % BW rewrite match successes : 4
% 0.14/0.44 % Condensation attempts : 0
% 0.14/0.44 % Condensation successes : 0
% 0.14/0.44 % Termbank termtop insertions : 5392
% 0.14/0.44 % Search garbage collected termcells : 612
% 0.14/0.44
% 0.14/0.44 % -------------------------------------------------
% 0.14/0.44 % User time : 0.010 s
% 0.14/0.44 % System time : 0.004 s
% 0.14/0.44 % Total time : 0.014 s
% 0.14/0.44 % Maximum resident set size: 3628 pages
% 0.14/0.44
% 0.14/0.44 % -------------------------------------------------
% 0.14/0.44 % User time : 0.040 s
% 0.14/0.44 % System time : 0.013 s
% 0.14/0.44 % Total time : 0.052 s
% 0.14/0.44 % Maximum resident set size: 4864 pages
% 0.14/0.44 % E exiting
%------------------------------------------------------------------------------