%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT064+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 : n011.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 18.21s 3.11s
% Output : CNFRefutation 18.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 109 ( 33 unt; 0 def)
% Number of atoms : 389 ( 71 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 424 ( 144 ~; 145 |; 96 &)
% ( 8 <=>; 31 =>; 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 : 135 ( 3 sgn 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_10,conjecture,
! [X1,X5,X6,X7,X8] :
( ( greater(age(X1,X8),sigma)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X7),tau)
& smaller_or_equal(age(X1,X6),tau)
& greater(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,X8),hazard_of_mortality(X1,X6))
& smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10) ).
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_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
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(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(meaning_postulate_greater_transitive,axiom,
! [X1,X2,X3] :
( ( greater(X2,X3)
& greater(X1,X2) )
=> greater(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
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(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(assumption_18b,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X5,X6,X7,X8] :
( ( greater(age(X1,X8),sigma)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X7),tau)
& smaller_or_equal(age(X1,X6),tau)
& greater(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,X8),hazard_of_mortality(X1,X6))
& smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X8)) ) ),
inference(assume_negation,[status(cth)],[theorem_10]) ).
fof(c_0_14,negated_conjecture,
~ ! [X1,X5,X6,X7,X8] :
( ( greater(age(X1,X8),sigma)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X7),tau)
& smaller_or_equal(age(X1,X6),tau)
& greater(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,X8),hazard_of_mortality(X1,X6))
& smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X8)) ) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_15,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_16,plain,
! [X35,X36,X37] :
( ( age(X35,X36) != zero
| ~ organization(X35)
| greater(age(X35,X37),sigma)
| ~ dissimilar(X35,X36,X37) )
& ( age(X35,X36) != zero
| ~ organization(X35)
| dissimilar(X35,X36,X37)
| ~ greater(age(X35,X37),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,plain,
! [X30,X31,X32] :
( ( dissimilar(X30,X31,X32)
| ~ organization(X30)
| is_aligned(X30,X31)
| ~ is_aligned(X30,X32) )
& ( dissimilar(X30,X31,X32)
| ~ organization(X30)
| is_aligned(X30,X32)
| ~ is_aligned(X30,X31) )
& ( ~ dissimilar(X30,X31,X32)
| is_aligned(X30,X32)
| is_aligned(X30,X31) )
& ( ~ dissimilar(X30,X31,X32)
| ~ is_aligned(X30,X32)
| ~ is_aligned(X30,X31) )
& ( ~ dissimilar(X30,X31,X32)
| organization(X30) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])]) ).
fof(c_0_18,plain,
! [X33,X34] :
( is_aligned(X33,X34)
| age(X33,X34) != zero
| ~ organization(X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])])]) ).
fof(c_0_19,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)) )
& greater(age(esk5_0,esk9_0),sigma)
& smaller_or_equal(age(esk5_0,esk8_0),sigma)
& greater(age(esk5_0,esk8_0),tau)
& smaller_or_equal(age(esk5_0,esk7_0),tau)
& greater(sigma,tau)
& greater(tau,zero)
& greater(sigma,zero)
& age(esk5_0,esk6_0) = zero
& ~ has_endowment(esk5_0)
& robust_position(esk5_0)
& organization(esk5_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_20,plain,
! [X13,X14] :
( ( smaller(X13,X14)
| ~ greater(X14,X13) )
& ( greater(X14,X13)
| ~ smaller(X13,X14) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])]) ).
fof(c_0_21,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_15]) ).
fof(c_0_22,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_15]) ).
cnf(c_0_23,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_24,plain,
( ~ dissimilar(X1,X2,X3)
| organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( age(X1,X2) != zero
| ~ organization(X1)
| is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
age(esk5_0,esk6_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
organization(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_28,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]) ).
fof(c_0_29,plain,
! [X9,X10] :
( ( smaller_or_equal(X9,X10)
| X9 != X10 )
& ( smaller_or_equal(X9,X10)
| ~ smaller(X9,X10) )
& ( X9 = X10
| smaller(X9,X10)
| ~ smaller_or_equal(X9,X10) ) ),
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_30,plain,
( ~ greater(X1,X2)
| smaller(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
greater(tau,zero),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_32,plain,
! [X17,X18,X19] :
( greater(X17,X19)
| ~ greater(X18,X19)
| ~ greater(X17,X18) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])])]) ).
fof(c_0_33,plain,
! [X51,X52] :
( ( ~ epred1_2(X52,X51)
| hazard_of_mortality(X51,X52) = high
| positional_advantage(X51,X52)
| is_aligned(X51,X52) )
& ( ~ epred1_2(X52,X51)
| hazard_of_mortality(X51,X52) = mod2
| positional_advantage(X51,X52)
| ~ is_aligned(X51,X52) )
& ( ~ epred1_2(X52,X51)
| hazard_of_mortality(X51,X52) = mod1
| ~ positional_advantage(X51,X52)
| is_aligned(X51,X52) )
& ( ~ epred1_2(X52,X51)
| hazard_of_mortality(X51,X52) = low
| ~ positional_advantage(X51,X52)
| ~ is_aligned(X51,X52) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_34,plain,
! [X44,X45] :
( ( ~ organization(X44)
| epred1_2(X45,X44)
| has_immunity(X44,X45) )
& ( ~ organization(X44)
| hazard_of_mortality(X44,X45) = very_low
| ~ has_immunity(X44,X45) ) ),
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_35,plain,
( ~ dissimilar(X1,X3,X2)
| age(X1,X3) != zero
| greater(age(X1,X2),sigma) ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_36,plain,
( ~ organization(X1)
| ~ is_aligned(X1,X2)
| dissimilar(X1,X2,X3)
| is_aligned(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,negated_conjecture,
is_aligned(esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
fof(c_0_38,plain,
! [X38,X39,X40,X41] :
( ( robust_position(X41)
| positional_advantage(X41,esk3_1(X41))
| ~ positional_advantage(X41,esk4_1(X41)) )
& ( robust_position(X41)
| positional_advantage(X41,esk3_1(X41))
| greater(age(X41,esk4_1(X41)),tau) )
& ( robust_position(X41)
| smaller_or_equal(age(X41,esk3_1(X41)),tau)
| ~ positional_advantage(X41,esk4_1(X41)) )
& ( robust_position(X41)
| smaller_or_equal(age(X41,esk3_1(X41)),tau)
| greater(age(X41,esk4_1(X41)),tau) )
& ( ~ robust_position(X38)
| positional_advantage(X38,X40)
| ~ greater(age(X38,X40),tau) )
& ( ~ robust_position(X38)
| ~ positional_advantage(X38,X39)
| ~ smaller_or_equal(age(X38,X39),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_28])])])])])])]) ).
cnf(c_0_39,plain,
( ~ smaller(X1,X2)
| smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,negated_conjecture,
smaller(zero,tau),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_41,plain,
( ~ greater(X2,X3)
| ~ greater(X1,X2)
| greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,negated_conjecture,
greater(sigma,tau),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_43,plain,
( age(X1,X3) != zero
| ~ organization(X1)
| ~ greater(age(X1,X2),sigma)
| dissimilar(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_44,plain,
! [X1,X4] :
( ( ~ has_endowment(X1)
& organization(X1) )
=> ~ has_immunity(X1,X4) ),
inference(fof_simplification,[status(thm)],[assumption_1]) ).
cnf(c_0_45,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_46,plain,
( ~ organization(X1)
| epred1_2(X2,X1)
| has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47,negated_conjecture,
( ~ dissimilar(esk5_0,esk6_0,X1)
| greater(age(esk5_0,X1),sigma) ),
inference(spm,[status(thm)],[c_0_35,c_0_26]) ).
cnf(c_0_48,negated_conjecture,
( dissimilar(esk5_0,esk6_0,X1)
| is_aligned(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_27])]) ).
cnf(c_0_49,plain,
( ~ robust_position(X1)
| ~ positional_advantage(X1,X2)
| ~ smaller_or_equal(age(X1,X2),tau) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,negated_conjecture,
robust_position(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_51,negated_conjecture,
smaller_or_equal(zero,tau),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_52,negated_conjecture,
( ~ greater(X1,sigma)
| greater(X1,tau) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_53,negated_conjecture,
greater(age(esk5_0,esk9_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_54,negated_conjecture,
( ~ greater(age(esk5_0,X1),sigma)
| dissimilar(esk5_0,esk6_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_26]),c_0_27])]) ).
fof(c_0_55,plain,
! [X28,X29] :
( ~ has_immunity(X28,X29)
| has_endowment(X28)
| ~ organization(X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
cnf(c_0_56,plain,
( ~ organization(X1)
| ~ is_aligned(X1,X2)
| has_immunity(X1,X2)
| positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = mod2 ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_57,negated_conjecture,
( greater(age(esk5_0,X1),sigma)
| is_aligned(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,negated_conjecture,
~ positional_advantage(esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_26]),c_0_50])]),c_0_51])]) ).
cnf(c_0_59,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_60,plain,
( ~ robust_position(X1)
| ~ greater(age(X1,X2),tau)
| positional_advantage(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_61,negated_conjecture,
greater(age(esk5_0,esk9_0),tau),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,plain,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X3)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_63,negated_conjecture,
dissimilar(esk5_0,esk6_0,esk9_0),
inference(spm,[status(thm)],[c_0_54,c_0_53]) ).
cnf(c_0_64,negated_conjecture,
smaller_or_equal(age(esk5_0,esk7_0),tau),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_65,plain,
( ~ has_immunity(X1,X2)
| ~ organization(X1)
| has_endowment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_66,plain,
( greater(age(esk5_0,X1),sigma)
| has_immunity(esk5_0,X1)
| positional_advantage(esk5_0,X1)
| hazard_of_mortality(esk5_0,X1) = mod2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_27])]) ).
cnf(c_0_67,negated_conjecture,
~ has_endowment(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_68,plain,
( ~ epred1_2(X2,X1)
| ~ positional_advantage(X1,X2)
| ~ is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = low ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_69,negated_conjecture,
greater(age(esk5_0,esk8_0),tau),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_70,negated_conjecture,
( has_immunity(esk5_0,esk6_0)
| hazard_of_mortality(esk5_0,esk6_0) = mod2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_37]),c_0_27])]),c_0_58]) ).
cnf(c_0_71,plain,
( ~ organization(X1)
| ~ positional_advantage(X1,X2)
| has_immunity(X1,X2)
| is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = mod1 ),
inference(spm,[status(thm)],[c_0_59,c_0_46]) ).
cnf(c_0_72,negated_conjecture,
positional_advantage(esk5_0,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_50])]) ).
cnf(c_0_73,negated_conjecture,
~ is_aligned(esk5_0,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_37])]) ).
cnf(c_0_74,negated_conjecture,
~ positional_advantage(esk5_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_64]),c_0_50])]) ).
cnf(c_0_75,plain,
( greater(age(esk5_0,X1),sigma)
| positional_advantage(esk5_0,X1)
| hazard_of_mortality(esk5_0,X1) = mod2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_27])]),c_0_67]) ).
cnf(c_0_76,plain,
( ~ smaller_or_equal(X1,X2)
| X1 = X2
| smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_77,negated_conjecture,
smaller_or_equal(age(esk5_0,esk8_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_78,plain,
( ~ organization(X1)
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| has_immunity(X1,X2)
| hazard_of_mortality(X1,X2) = low ),
inference(spm,[status(thm)],[c_0_68,c_0_46]) ).
cnf(c_0_79,negated_conjecture,
positional_advantage(esk5_0,esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_69]),c_0_50])]) ).
cnf(c_0_80,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_81,negated_conjecture,
hazard_of_mortality(esk5_0,esk6_0) = mod2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_70]),c_0_27])]),c_0_67]) ).
cnf(c_0_82,negated_conjecture,
( has_immunity(esk5_0,esk9_0)
| hazard_of_mortality(esk5_0,esk9_0) = mod1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_27])]),c_0_73]) ).
cnf(c_0_83,negated_conjecture,
( greater(age(esk5_0,esk7_0),sigma)
| hazard_of_mortality(esk5_0,esk7_0) = mod2 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
fof(c_0_84,plain,
! [X15,X16] :
( ~ greater(X16,X15)
| ~ greater(X15,X16) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])])]) ).
cnf(c_0_85,plain,
( ~ smaller(X1,X2)
| greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_86,negated_conjecture,
( smaller(age(esk5_0,esk8_0),sigma)
| age(esk5_0,esk8_0) = sigma ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_87,negated_conjecture,
( ~ is_aligned(esk5_0,esk8_0)
| has_immunity(esk5_0,esk8_0)
| hazard_of_mortality(esk5_0,esk8_0) = low ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_27])]) ).
cnf(c_0_88,negated_conjecture,
( ~ 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))
| hazard_of_mortality(esk5_0,esk7_0) != mod2 ),
inference(rw,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_89,negated_conjecture,
hazard_of_mortality(esk5_0,esk9_0) = mod1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_82]),c_0_27])]),c_0_67]) ).
cnf(c_0_90,negated_conjecture,
( greater(age(esk5_0,esk7_0),tau)
| hazard_of_mortality(esk5_0,esk7_0) = mod2 ),
inference(spm,[status(thm)],[c_0_52,c_0_83]) ).
cnf(c_0_91,plain,
greater(mod2,mod1),
inference(split_conjunct,[status(thm)],[assumption_19]) ).
cnf(c_0_92,plain,
( ~ greater(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_93,negated_conjecture,
( greater(sigma,age(esk5_0,esk8_0))
| age(esk5_0,esk8_0) = sigma ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( greater(age(esk5_0,esk8_0),sigma)
| has_immunity(esk5_0,esk8_0)
| hazard_of_mortality(esk5_0,esk8_0) = low ),
inference(spm,[status(thm)],[c_0_87,c_0_57]) ).
cnf(c_0_95,negated_conjecture,
( ~ smaller(mod1,hazard_of_mortality(esk5_0,esk7_0))
| ~ smaller(hazard_of_mortality(esk5_0,esk8_0),mod1)
| hazard_of_mortality(esk5_0,esk7_0) != mod2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_89]) ).
cnf(c_0_96,negated_conjecture,
hazard_of_mortality(esk5_0,esk7_0) = mod2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_90]),c_0_50])]),c_0_74]) ).
cnf(c_0_97,plain,
smaller(mod1,mod2),
inference(spm,[status(thm)],[c_0_30,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
( ~ greater(age(esk5_0,esk8_0),sigma)
| age(esk5_0,esk8_0) = sigma ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,negated_conjecture,
( greater(age(esk5_0,esk8_0),sigma)
| hazard_of_mortality(esk5_0,esk8_0) = low ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_94]),c_0_27])]),c_0_67]) ).
cnf(c_0_100,plain,
greater(mod1,low),
inference(split_conjunct,[status(thm)],[assumption_18b]) ).
cnf(c_0_101,negated_conjecture,
~ smaller(hazard_of_mortality(esk5_0,esk8_0),mod1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96]),c_0_96]),c_0_97])]) ).
cnf(c_0_102,negated_conjecture,
( age(esk5_0,esk8_0) = sigma
| hazard_of_mortality(esk5_0,esk8_0) = low ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,plain,
smaller(low,mod1),
inference(spm,[status(thm)],[c_0_30,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( ~ greater(sigma,age(esk5_0,esk8_0))
| hazard_of_mortality(esk5_0,esk8_0) = low ),
inference(spm,[status(thm)],[c_0_92,c_0_99]) ).
cnf(c_0_105,negated_conjecture,
age(esk5_0,esk8_0) = sigma,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).
cnf(c_0_106,negated_conjecture,
( ~ greater(sigma,sigma)
| hazard_of_mortality(esk5_0,esk8_0) = low ),
inference(rw,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_107,negated_conjecture,
hazard_of_mortality(esk5_0,esk8_0) = low,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_105]),c_0_106]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_107]),c_0_103])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT064+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 01:24:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 18.21/3.11 % Version: 3.5.1
% 18.21/3.11 % Preprocessing class: FSMSSMSMSSSNFFN.
% 18.21/3.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.21/3.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 18.21/3.11 % Starting new_bool_3 with 300s (1) cores
% 18.21/3.11 % Starting new_bool_1 with 300s (1) cores
% 18.21/3.11 % Starting sh5l with 300s (1) cores
% 18.21/3.11 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 671348 completed with status 0
% 18.21/3.11 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 18.21/3.11 % Preprocessing class: FSMSSMSMSSSNFFN.
% 18.21/3.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.21/3.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 18.21/3.11 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.21/3.11 % No SInE strategy applied
% 18.21/3.11 % Search class: FGHSF-FFMM21-SFFFFFNN
% 18.21/3.11 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 18.21/3.11 % Starting SubtermCWHack with 136s (1) cores
% 18.21/3.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 18.21/3.11 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 18.21/3.11 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 18.21/3.11 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 18.21/3.11 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 671355 completed with status 0
% 18.21/3.11 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 18.21/3.11 % Preprocessing class: FSMSSMSMSSSNFFN.
% 18.21/3.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.21/3.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 18.21/3.11 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.21/3.11 % No SInE strategy applied
% 18.21/3.11 % Search class: FGHSF-FFMM21-SFFFFFNN
% 18.21/3.11 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 18.21/3.11 % Starting SubtermCWHack with 136s (1) cores
% 18.21/3.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 18.21/3.11 % Preprocessing time : 0.003 s
% 18.21/3.11 % Presaturation interreduction done
% 18.21/3.11
% 18.21/3.11 % Proof found!
% 18.21/3.11 % SZS status Theorem
% 18.21/3.11 % SZS output start CNFRefutation
% See solution above
% 18.21/3.11 % Parsed axioms : 20
% 18.21/3.11 % Removed by relevancy pruning/SinE : 0
% 18.21/3.11 % Initial clauses : 57
% 18.21/3.11 % Removed in clause preprocessing : 0
% 18.21/3.11 % Initial clauses in saturation : 57
% 18.21/3.11 % Processed clauses : 6459
% 18.21/3.11 % ...of these trivial : 1
% 18.21/3.11 % ...subsumed : 2738
% 18.21/3.11 % ...remaining for further processing : 3720
% 18.21/3.11 % Other redundant clauses eliminated : 2
% 18.21/3.11 % Clauses deleted for lack of memory : 0
% 18.21/3.11 % Backward-subsumed : 697
% 18.21/3.11 % Backward-rewritten : 569
% 18.21/3.11 % Generated clauses : 60524
% 18.21/3.11 % ...of the previous two non-redundant : 37032
% 18.21/3.11 % ...aggressively subsumed : 0
% 18.21/3.11 % Contextual simplify-reflections : 5
% 18.21/3.11 % Paramodulations : 60448
% 18.21/3.11 % Factorizations : 74
% 18.21/3.11 % NegExts : 0
% 18.21/3.11 % Equation resolutions : 2
% 18.21/3.11 % Disequality decompositions : 0
% 18.21/3.11 % Total rewrite steps : 26564
% 18.21/3.11 % ...of those cached : 26504
% 18.21/3.11 % Propositional unsat checks : 0
% 18.21/3.11 % Propositional check models : 0
% 18.21/3.11 % Propositional check unsatisfiable : 0
% 18.21/3.11 % Propositional clauses : 0
% 18.21/3.11 % Propositional clauses after purity: 0
% 18.21/3.11 % Propositional unsat core size : 0
% 18.21/3.11 % Propositional preprocessing time : 0.000
% 18.21/3.11 % Propositional encoding time : 0.000
% 18.21/3.11 % Propositional solver time : 0.000
% 18.21/3.11 % Success case prop preproc time : 0.000
% 18.21/3.11 % Success case prop encoding time : 0.000
% 18.21/3.11 % Success case prop solver time : 0.000
% 18.21/3.11 % Current number of processed clauses : 2398
% 18.21/3.11 % Positive orientable unit clauses : 80
% 18.21/3.11 % Positive unorientable unit clauses: 0
% 18.21/3.11 % Negative unit clauses : 21
% 18.21/3.11 % Non-unit-clauses : 2297
% 18.21/3.11 % Current number of unprocessed clauses: 30094
% 18.21/3.11 % ...number of literals in the above : 203492
% 18.21/3.11 % Current number of archived formulas : 0
% 18.21/3.11 % Current number of archived clauses : 1320
% 18.21/3.11 % Clause-clause subsumption calls (NU) : 1509140
% 18.21/3.11 % Rec. Clause-clause subsumption calls : 169998
% 18.21/3.11 % Non-unit clause-clause subsumptions : 3397
% 18.21/3.11 % Unit Clause-clause subsumption calls : 5101
% 18.21/3.11 % Rewrite failures with RHS unbound : 0
% 18.21/3.11 % BW rewrite match attempts : 16
% 18.21/3.11 % BW rewrite match successes : 5
% 18.21/3.11 % Condensation attempts : 0
% 18.21/3.11 % Condensation successes : 0
% 18.21/3.11 % Termbank termtop insertions : 903935
% 18.21/3.11 % Search garbage collected termcells : 789
% 18.21/3.11
% 18.21/3.11 % -------------------------------------------------
% 18.21/3.11 % User time : 2.556 s
% 18.21/3.11 % System time : 0.056 s
% 18.21/3.11 % Total time : 2.612 s
% 18.21/3.11 % Maximum resident set size: 3660 pages
% 18.21/3.11
% 18.21/3.11 % -------------------------------------------------
% 18.21/3.11 % User time : 12.443 s
% 18.21/3.11 % System time : 0.308 s
% 18.21/3.11 % Total time : 12.751 s
% 18.21/3.11 % Maximum resident set size: 4608 pages
% 18.21/3.11 % E exiting
%------------------------------------------------------------------------------