%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT055+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 : n013.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 01:26:56 PM UTC 2026
% Result : Theorem 0.22s 0.54s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 105 ( 19 unt; 0 def)
% Number of atoms : 362 ( 49 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 395 ( 138 ~; 166 |; 68 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 173 ( 3 sgn 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_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(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(lemma_8,conjecture,
! [X1,X5,X6,X7,X8] :
( ( greater(eta,zero)
& greater(sigma,eta)
& greater(age(X1,X8),sigma)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X7),eta)
& smaller_or_equal(age(X1,X6),eta)
& age(X1,X5) = zero
& has_endowment(X1)
& organization(X1) )
=> ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
& greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8) ).
fof(definition_1,axiom,
! [X1] :
( has_endowment(X1)
<=> ! [X4] :
( ( greater(age(X1,X4),eta)
=> ~ has_immunity(X1,X4) )
& ( smaller_or_equal(age(X1,X4),eta)
=> has_immunity(X1,X4) )
& organization(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
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_comparable,axiom,
! [X1,X2] :
( greater(X1,X2)
| X1 = X2
| smaller(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).
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(assumption_3,axiom,
! [X1,X5,X4] :
( ( ~ has_immunity(X1,X4)
& has_immunity(X1,X5)
& organization(X1) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).
fof(assumption_2,axiom,
! [X1,X5,X4] :
( ( has_immunity(X1,X4)
& has_immunity(X1,X5)
& organization(X1) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).
fof(assumption_16,axiom,
! [X1,X5,X4] :
( ( greater(capability(X1,X4),capability(X1,X5))
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5)
& organization(X1) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_16) ).
fof(assumption_14,axiom,
! [X1,X5,X4] :
( ( ~ is_aligned(X1,X4)
& is_aligned(X1,X5)
& organization(X1) )
=> greater(capability(X1,X5),capability(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_14) ).
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(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(c_0_14,plain,
! [X34,X35,X36] :
( ( dissimilar(X34,X35,X36)
| ~ organization(X34)
| is_aligned(X34,X35)
| ~ is_aligned(X34,X36) )
& ( dissimilar(X34,X35,X36)
| ~ organization(X34)
| is_aligned(X34,X36)
| ~ is_aligned(X34,X35) )
& ( ~ dissimilar(X34,X35,X36)
| is_aligned(X34,X36)
| is_aligned(X34,X35) )
& ( ~ dissimilar(X34,X35,X36)
| ~ is_aligned(X34,X36)
| ~ is_aligned(X34,X35) )
& ( ~ dissimilar(X34,X35,X36)
| organization(X34) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])])]) ).
fof(c_0_15,plain,
! [X42,X43,X44] :
( ( age(X42,X43) != zero
| ~ organization(X42)
| greater(age(X42,X44),sigma)
| ~ dissimilar(X42,X43,X44) )
& ( age(X42,X43) != zero
| ~ organization(X42)
| dissimilar(X42,X43,X44)
| ~ greater(age(X42,X44),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_16,plain,
! [X37,X38] :
( is_aligned(X37,X38)
| age(X37,X38) != zero
| ~ organization(X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])])]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1,X5,X6,X7,X8] :
( ( greater(eta,zero)
& greater(sigma,eta)
& greater(age(X1,X8),sigma)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X7),eta)
& smaller_or_equal(age(X1,X6),eta)
& age(X1,X5) = zero
& has_endowment(X1)
& organization(X1) )
=> ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
& greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7)) ) ),
inference(assume_negation,[status(cth)],[lemma_8]) ).
cnf(c_0_18,plain,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X3)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( age(X1,X3) != zero
| ~ organization(X1)
| ~ greater(age(X1,X2),sigma)
| dissimilar(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( age(X1,X2) != zero
| ~ organization(X1)
| is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,negated_conjecture,
( ( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
| ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(esk3_0,esk7_0),sigma)
& smaller_or_equal(age(esk3_0,esk6_0),sigma)
& greater(age(esk3_0,esk6_0),eta)
& smaller_or_equal(age(esk3_0,esk5_0),eta)
& age(esk3_0,esk4_0) = zero
& has_endowment(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_17])])])]) ).
cnf(c_0_22,plain,
( ~ greater(age(X1,X3),sigma)
| ~ organization(X1)
| ~ is_aligned(X1,X3)
| age(X1,X2) != zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
age(esk3_0,esk4_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,negated_conjecture,
organization(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_25,plain,
! [X1] :
( has_endowment(X1)
<=> ! [X4] :
( ( greater(age(X1,X4),eta)
=> ~ has_immunity(X1,X4) )
& ( smaller_or_equal(age(X1,X4),eta)
=> has_immunity(X1,X4) )
& organization(X1) ) ),
inference(fof_simplification,[status(thm)],[definition_1]) ).
cnf(c_0_26,plain,
( ~ organization(X1)
| ~ is_aligned(X1,X2)
| dissimilar(X1,X3,X2)
| is_aligned(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
( ~ greater(age(esk3_0,X1),sigma)
| ~ is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
fof(c_0_28,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_29,plain,
! [X20,X21] :
( greater(X20,X21)
| X20 = X21
| smaller(X20,X21) ),
inference(variable_rename,[status(thm)],[meaning_postulate_greater_comparable]) ).
fof(c_0_30,plain,
! [X22,X23,X24,X25] :
( ( has_endowment(X25)
| ~ organization(X25)
| ~ has_immunity(X25,esk1_1(X25))
| has_immunity(X25,esk2_1(X25)) )
& ( has_endowment(X25)
| ~ organization(X25)
| ~ has_immunity(X25,esk1_1(X25))
| greater(age(X25,esk2_1(X25)),eta) )
& ( has_endowment(X25)
| ~ organization(X25)
| smaller_or_equal(age(X25,esk1_1(X25)),eta)
| has_immunity(X25,esk2_1(X25)) )
& ( has_endowment(X25)
| ~ organization(X25)
| smaller_or_equal(age(X25,esk1_1(X25)),eta)
| greater(age(X25,esk2_1(X25)),eta) )
& ( ~ has_endowment(X22)
| ~ has_immunity(X22,X24)
| ~ greater(age(X22,X24),eta) )
& ( ~ has_endowment(X22)
| has_immunity(X22,X23)
| ~ smaller_or_equal(age(X22,X23),eta) )
& ( ~ has_endowment(X22)
| organization(X22) ) ),
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_25])])])])])])]) ).
fof(c_0_31,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_32,plain,
( age(X1,X2) != zero
| ~ organization(X1)
| ~ dissimilar(X1,X2,X3)
| greater(age(X1,X3),sigma) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,plain,
( ~ dissimilar(X1,X2,X3)
| organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,plain,
( ~ organization(X1)
| age(X1,X3) != zero
| dissimilar(X1,X2,X3)
| is_aligned(X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_35,negated_conjecture,
( ~ greater(age(esk3_0,X1),sigma)
| age(esk3_0,X1) != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_24])]) ).
cnf(c_0_36,plain,
( ~ smaller(X1,X2)
| greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
( greater(X1,X2)
| X1 = X2
| smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
( ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta)
| has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,negated_conjecture,
has_endowment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_40,plain,
( ~ smaller(X1,X2)
| smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
( ~ greater(X1,X2)
| smaller(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_42,plain,
! [X1,X5,X4] :
( ( ~ has_immunity(X1,X4)
& has_immunity(X1,X5)
& organization(X1) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
inference(fof_simplification,[status(thm)],[assumption_3]) ).
cnf(c_0_43,plain,
( ~ dissimilar(X1,X3,X2)
| age(X1,X3) != zero
| greater(age(X1,X2),sigma) ),
inference(csr,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
( dissimilar(esk3_0,X1,esk4_0)
| is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_24])]) ).
cnf(c_0_45,negated_conjecture,
~ greater(zero,sigma),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_46,negated_conjecture,
( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
| ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_47,plain,
( greater(X2,X1)
| greater(X1,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_48,plain,
! [X28,X29,X30] :
( hazard_of_mortality(X28,X29) = hazard_of_mortality(X28,X30)
| ~ has_immunity(X28,X30)
| ~ has_immunity(X28,X29)
| ~ organization(X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])])]) ).
cnf(c_0_49,negated_conjecture,
( ~ smaller_or_equal(zero,eta)
| has_immunity(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_23]),c_0_39])]) ).
cnf(c_0_50,plain,
( ~ greater(X2,X1)
| smaller_or_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
greater(eta,zero),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_52,plain,
! [X31,X32,X33] :
( greater(hazard_of_mortality(X31,X33),hazard_of_mortality(X31,X32))
| has_immunity(X31,X33)
| ~ has_immunity(X31,X32)
| ~ organization(X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).
cnf(c_0_53,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),eta),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_54,plain,
( ~ organization(X1)
| ~ is_aligned(X1,X2)
| dissimilar(X1,X2,X3)
| is_aligned(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_55,negated_conjecture,
( age(esk3_0,X1) != zero
| is_aligned(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_23]),c_0_45]) ).
cnf(c_0_56,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0)
| greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk7_0))
| hazard_of_mortality(esk3_0,esk7_0) = hazard_of_mortality(esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
( ~ has_immunity(X1,X3)
| ~ has_immunity(X1,X2)
| ~ organization(X1)
| hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
has_immunity(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_59,plain,
( ~ has_immunity(X1,X2)
| ~ organization(X1)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| has_immunity(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_60,negated_conjecture,
has_immunity(esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_53]),c_0_39])]) ).
cnf(c_0_61,plain,
( ~ has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ greater(age(X1,X2),eta) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_62,negated_conjecture,
greater(age(esk3_0,esk6_0),eta),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_63,plain,
! [X1,X5,X4] :
( ( greater(capability(X1,X4),capability(X1,X5))
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5)
& organization(X1) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
inference(fof_simplification,[status(thm)],[assumption_16]) ).
fof(c_0_64,plain,
! [X1,X5,X4] :
( ( ~ is_aligned(X1,X4)
& is_aligned(X1,X5)
& organization(X1) )
=> greater(capability(X1,X5),capability(X1,X4)) ),
inference(fof_simplification,[status(thm)],[assumption_14]) ).
cnf(c_0_65,negated_conjecture,
( age(esk3_0,X2) != zero
| dissimilar(esk3_0,X2,X1)
| is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_24])]) ).
fof(c_0_66,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])])]) ).
cnf(c_0_67,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| ~ has_immunity(esk3_0,X1)
| hazard_of_mortality(esk3_0,X1) != hazard_of_mortality(esk3_0,esk5_0)
| greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk7_0))
| hazard_of_mortality(esk3_0,esk7_0) = hazard_of_mortality(esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_24])]) ).
cnf(c_0_68,negated_conjecture,
( greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,esk5_0))
| has_immunity(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_24])]) ).
cnf(c_0_69,negated_conjecture,
~ has_immunity(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_39])]) ).
fof(c_0_70,plain,
! [X45,X46,X47] :
( greater(hazard_of_mortality(X45,X46),hazard_of_mortality(X45,X47))
| ~ greater(capability(X45,X47),capability(X45,X46))
| has_immunity(X45,X47)
| has_immunity(X45,X46)
| ~ organization(X45) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
fof(c_0_71,plain,
! [X39,X40,X41] :
( greater(capability(X39,X40),capability(X39,X41))
| is_aligned(X39,X41)
| ~ is_aligned(X39,X40)
| ~ organization(X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
cnf(c_0_72,negated_conjecture,
( dissimilar(esk3_0,esk4_0,X1)
| is_aligned(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_23]) ).
cnf(c_0_73,plain,
( ~ greater(X2,X3)
| ~ greater(X1,X2)
| greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,negated_conjecture,
greater(sigma,eta),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_75,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_76,negated_conjecture,
( ~ has_immunity(esk3_0,X1)
| hazard_of_mortality(esk3_0,X1) != hazard_of_mortality(esk3_0,esk5_0)
| greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk7_0))
| hazard_of_mortality(esk3_0,esk7_0) = hazard_of_mortality(esk3_0,esk6_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_77,plain,
( ~ greater(capability(X1,X3),capability(X1,X2))
| ~ organization(X1)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| has_immunity(X1,X3)
| has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_78,plain,
( ~ is_aligned(X1,X2)
| ~ organization(X1)
| greater(capability(X1,X2),capability(X1,X3))
| is_aligned(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_79,negated_conjecture,
( greater(age(esk3_0,X1),sigma)
| is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_72]),c_0_23])]) ).
cnf(c_0_80,negated_conjecture,
( ~ greater(X1,sigma)
| greater(X1,eta) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
greater(age(esk3_0,esk7_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_82,plain,
( ~ greater(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_83,negated_conjecture,
( greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk7_0))
| hazard_of_mortality(esk3_0,esk7_0) = hazard_of_mortality(esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_60]) ).
cnf(c_0_84,plain,
( ~ greater(capability(X1,X3),capability(X1,X2))
| ~ organization(X1)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| has_immunity(X1,X2) ),
inference(csr,[status(thm)],[c_0_77,c_0_59]) ).
cnf(c_0_85,negated_conjecture,
( greater(age(esk3_0,X2),sigma)
| greater(capability(esk3_0,X2),capability(esk3_0,X1))
| is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_24])]) ).
cnf(c_0_86,negated_conjecture,
greater(age(esk3_0,esk7_0),eta),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0))
| hazard_of_mortality(esk3_0,esk7_0) = hazard_of_mortality(esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( greater(age(esk3_0,X2),sigma)
| greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,X2))
| has_immunity(esk3_0,X1)
| is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_24])]) ).
cnf(c_0_89,negated_conjecture,
~ has_immunity(esk3_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_86]),c_0_39])]) ).
cnf(c_0_90,negated_conjecture,
( greater(age(esk3_0,esk6_0),sigma)
| is_aligned(esk3_0,esk7_0)
| hazard_of_mortality(esk3_0,esk7_0) = hazard_of_mortality(esk3_0,esk6_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_91,negated_conjecture,
( greater(age(esk3_0,esk6_0),sigma)
| hazard_of_mortality(esk3_0,esk7_0) = hazard_of_mortality(esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_90]),c_0_81])]) ).
cnf(c_0_92,negated_conjecture,
( greater(age(esk3_0,esk6_0),sigma)
| greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_91]),c_0_89]) ).
cnf(c_0_93,plain,
( ~ smaller_or_equal(X1,X2)
| X1 = X2
| smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_94,negated_conjecture,
smaller_or_equal(age(esk3_0,esk6_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_95,negated_conjecture,
( hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0)
| greater(age(esk3_0,esk6_0),sigma)
| is_aligned(esk3_0,esk7_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_88]),c_0_89]),c_0_92]) ).
cnf(c_0_96,negated_conjecture,
( smaller(age(esk3_0,esk6_0),sigma)
| age(esk3_0,esk6_0) = sigma ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,negated_conjecture,
( ~ has_immunity(esk3_0,X1)
| hazard_of_mortality(esk3_0,X1) != hazard_of_mortality(esk3_0,esk5_0)
| greater(age(esk3_0,esk6_0),sigma)
| is_aligned(esk3_0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_57]),c_0_58]),c_0_24])]) ).
cnf(c_0_98,negated_conjecture,
( greater(sigma,age(esk3_0,esk6_0))
| age(esk3_0,esk6_0) = sigma ),
inference(spm,[status(thm)],[c_0_36,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
( greater(age(esk3_0,esk6_0),sigma)
| is_aligned(esk3_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_60]) ).
cnf(c_0_100,negated_conjecture,
( ~ greater(age(esk3_0,esk6_0),sigma)
| age(esk3_0,esk6_0) = sigma ),
inference(spm,[status(thm)],[c_0_82,c_0_98]) ).
cnf(c_0_101,negated_conjecture,
greater(age(esk3_0,esk6_0),sigma),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_99]),c_0_81])]) ).
cnf(c_0_102,negated_conjecture,
age(esk3_0,esk6_0) = sigma,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]) ).
cnf(c_0_103,negated_conjecture,
greater(sigma,sigma),
inference(rw,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_103]),c_0_103])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT055+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:23:37 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 0.22/0.53 % Version: 3.5.1
% 0.22/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.22/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.53 % Starting sh5l with 300s (1) cores
% 0.22/0.53 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3859098 completed with status 0
% 0.22/0.53 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.53 % No SInE strategy applied
% 0.22/0.53 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.22/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.22/0.54 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.22/0.54 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.22/0.54 % G-E--_208_C18_F1_AE_CS_SP_PS_S3S with pid 3859106 completed with status 0
% 0.22/0.54 % Result found by G-E--_208_C18_F1_AE_CS_SP_PS_S3S
% 0.22/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.54 % No SInE strategy applied
% 0.22/0.54 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.22/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.22/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.22/0.54 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.22/0.54 % Preprocessing time : 0.002 s
% 0.22/0.54 % Presaturation interreduction done
% 0.22/0.54
% 0.22/0.54 % Proof found!
% 0.22/0.54 % SZS status Theorem
% 0.22/0.54 % SZS output start CNFRefutation
% See solution above
% 0.22/0.54 % Parsed axioms : 15
% 0.22/0.54 % Removed by relevancy pruning/SinE : 0
% 0.22/0.54 % Initial clauses : 40
% 0.22/0.54 % Removed in clause preprocessing : 0
% 0.22/0.54 % Initial clauses in saturation : 40
% 0.22/0.54 % Processed clauses : 1063
% 0.22/0.54 % ...of these trivial : 18
% 0.22/0.54 % ...subsumed : 603
% 0.22/0.54 % ...remaining for further processing : 442
% 0.22/0.54 % Other redundant clauses eliminated : 2
% 0.22/0.54 % Clauses deleted for lack of memory : 0
% 0.22/0.54 % Backward-subsumed : 31
% 0.22/0.54 % Backward-rewritten : 88
% 0.22/0.54 % Generated clauses : 5145
% 0.22/0.54 % ...of the previous two non-redundant : 3750
% 0.22/0.54 % ...aggressively subsumed : 0
% 0.22/0.54 % Contextual simplify-reflections : 14
% 0.22/0.54 % Paramodulations : 5123
% 0.22/0.54 % Factorizations : 18
% 0.22/0.54 % NegExts : 0
% 0.22/0.54 % Equation resolutions : 2
% 0.22/0.54 % Disequality decompositions : 0
% 0.22/0.54 % Total rewrite steps : 2107
% 0.22/0.54 % ...of those cached : 2088
% 0.22/0.54 % Propositional unsat checks : 0
% 0.22/0.54 % Propositional check models : 0
% 0.22/0.54 % Propositional check unsatisfiable : 0
% 0.22/0.54 % Propositional clauses : 0
% 0.22/0.54 % Propositional clauses after purity: 0
% 0.22/0.54 % Propositional unsat core size : 0
% 0.22/0.54 % Propositional preprocessing time : 0.000
% 0.22/0.54 % Propositional encoding time : 0.000
% 0.22/0.54 % Propositional solver time : 0.000
% 0.22/0.54 % Success case prop preproc time : 0.000
% 0.22/0.54 % Success case prop encoding time : 0.000
% 0.22/0.54 % Success case prop solver time : 0.000
% 0.22/0.54 % Current number of processed clauses : 279
% 0.22/0.54 % Positive orientable unit clauses : 17
% 0.22/0.54 % Positive unorientable unit clauses: 0
% 0.22/0.54 % Negative unit clauses : 10
% 0.22/0.54 % Non-unit-clauses : 252
% 0.22/0.54 % Current number of unprocessed clauses: 2597
% 0.22/0.54 % ...number of literals in the above : 16247
% 0.22/0.54 % Current number of archived formulas : 0
% 0.22/0.54 % Current number of archived clauses : 161
% 0.22/0.54 % Clause-clause subsumption calls (NU) : 26029
% 0.22/0.54 % Rec. Clause-clause subsumption calls : 9562
% 0.22/0.54 % Non-unit clause-clause subsumptions : 564
% 0.22/0.54 % Unit Clause-clause subsumption calls : 707
% 0.22/0.54 % Rewrite failures with RHS unbound : 0
% 0.22/0.54 % BW rewrite match attempts : 10
% 0.22/0.54 % BW rewrite match successes : 5
% 0.22/0.54 % Condensation attempts : 0
% 0.22/0.54 % Condensation successes : 0
% 0.22/0.54 % Termbank termtop insertions : 95670
% 0.22/0.54 % Search garbage collected termcells : 639
% 0.22/0.54
% 0.22/0.54 % -------------------------------------------------
% 0.22/0.54 % User time : 0.074 s
% 0.22/0.54 % System time : 0.005 s
% 0.22/0.54 % Total time : 0.079 s
% 0.22/0.54 % Maximum resident set size: 3656 pages
% 0.22/0.54
% 0.22/0.54 % -------------------------------------------------
% 0.22/0.54 % User time : 0.360 s
% 0.22/0.54 % System time : 0.019 s
% 0.22/0.54 % Total time : 0.380 s
% 0.22/0.54 % Maximum resident set size: 4864 pages
% 0.22/0.54 % E exiting
%------------------------------------------------------------------------------