TSTP Solution File: MGT051+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : MGT051+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 08:36:40 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 102 ( 18 unt; 0 def)
% Number of atoms : 377 ( 70 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 404 ( 129 ~; 145 |; 83 &)
% ( 7 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 189 ( 13 sgn 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_4,conjecture,
! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& has_endowment(X1)
& smaller_or_equal(age(X1,X5),age(X1,X6))
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& greater(age(X1,X8),age(X1,X7)) )
=> ( greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7))
& greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',theorem_4) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',definition_smaller_or_equal) ).
fof(assumption_5,axiom,
! [X1,X5,X4] :
( organization(X1)
=> ( ( ( greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
& smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5)) )
=> greater(capability(X1,X4),capability(X1,X5)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
& greater(internal_friction(X1,X4),internal_friction(X1,X5)) )
=> smaller(capability(X1,X4),capability(X1,X5)) )
& ( ( stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5)
& internal_friction(X1,X4) = internal_friction(X1,X5) )
=> capability(X1,X4) = capability(X1,X5) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',assumption_5) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',definition_smaller) ).
fof(assumption_10,axiom,
! [X1,X5,X4] :
( organization(X1)
=> stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',assumption_10) ).
fof(definition_1,axiom,
! [X1] :
( has_endowment(X1)
<=> ! [X4] :
( organization(X1)
& ( smaller_or_equal(age(X1,X4),eta)
=> has_immunity(X1,X4) )
& ( greater(age(X1,X4),eta)
=> ~ has_immunity(X1,X4) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',definition_1) ).
fof(meaning_postulate_greater_transitive,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',meaning_postulate_greater_transitive) ).
fof(assumption_12,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& greater(age(X1,X4),age(X1,X5)) )
=> greater(internal_friction(X1,X4),internal_friction(X1,X5)) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',assumption_12) ).
fof(assumption_2,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& has_immunity(X1,X4) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',assumption_2) ).
fof(assumption_6,axiom,
! [X1,X5,X4] :
( organization(X1)
=> ( ( greater(external_ties(X1,X4),external_ties(X1,X5))
=> greater(position(X1,X4),position(X1,X5)) )
& ( external_ties(X1,X4) = external_ties(X1,X5)
=> position(X1,X4) = position(X1,X5) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',assumption_6) ).
fof(assumption_11,axiom,
! [X1,X5,X4] :
( organization(X1)
=> external_ties(X1,X4) = external_ties(X1,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',assumption_11) ).
fof(definition_greater_or_equal,axiom,
! [X1,X2] :
( greater_or_equal(X1,X2)
<=> ( greater(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',definition_greater_or_equal) ).
fof(assumption_4,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& ~ has_immunity(X1,X5)
& ~ has_immunity(X1,X4) )
=> ( ( ( greater(capability(X1,X4),capability(X1,X5))
& greater_or_equal(position(X1,X4),position(X1,X5)) )
=> smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
& ( ( greater_or_equal(capability(X1,X4),capability(X1,X5))
& greater(position(X1,X4),position(X1,X5)) )
=> smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
& ( ( capability(X1,X4) = capability(X1,X5)
& position(X1,X4) = position(X1,X5) )
=> hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',assumption_4) ).
fof(assumption_3,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& ~ has_immunity(X1,X4) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
file('/export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p',assumption_3) ).
fof(c_0_14,negated_conjecture,
~ ! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& has_endowment(X1)
& smaller_or_equal(age(X1,X5),age(X1,X6))
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& greater(age(X1,X8),age(X1,X7)) )
=> ( greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7))
& greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
inference(assume_negation,[status(cth)],[theorem_4]) ).
fof(c_0_15,plain,
! [X1,X4,X5] :
( epred2_3(X5,X4,X1)
<=> ( ( ( greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
& smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5)) )
=> greater(capability(X1,X4),capability(X1,X5)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
& greater(internal_friction(X1,X4),internal_friction(X1,X5)) )
=> smaller(capability(X1,X4),capability(X1,X5)) )
& ( ( stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5)
& internal_friction(X1,X4) = internal_friction(X1,X5) )
=> capability(X1,X4) = capability(X1,X5) ) ) ),
introduced(definition) ).
fof(c_0_16,plain,
! [X9,X10] :
( ( ~ smaller_or_equal(X9,X10)
| smaller(X9,X10)
| X9 = X10 )
& ( ~ smaller(X9,X10)
| smaller_or_equal(X9,X10) )
& ( 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])])])]) ).
fof(c_0_17,negated_conjecture,
( organization(esk3_0)
& has_endowment(esk3_0)
& smaller_or_equal(age(esk3_0,esk4_0),age(esk3_0,esk5_0))
& smaller_or_equal(age(esk3_0,esk5_0),eta)
& greater(age(esk3_0,esk6_0),eta)
& greater(age(esk3_0,esk7_0),age(esk3_0,esk6_0))
& ( ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0))
| ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_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_18,plain,
! [X1,X4,X5] :
( epred2_3(X5,X4,X1)
=> ( ( ( greater(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
& smaller_or_equal(internal_friction(X1,X4),internal_friction(X1,X5)) )
=> greater(capability(X1,X4),capability(X1,X5)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X4),stock_of_knowledge(X1,X5))
& greater(internal_friction(X1,X4),internal_friction(X1,X5)) )
=> smaller(capability(X1,X4),capability(X1,X5)) )
& ( ( stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5)
& internal_friction(X1,X4) = internal_friction(X1,X5) )
=> capability(X1,X4) = capability(X1,X5) ) ) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
fof(c_0_19,axiom,
! [X1,X5,X4] :
( organization(X1)
=> epred2_3(X5,X4,X1) ),
inference(apply_def,[status(thm)],[assumption_5,c_0_15]) ).
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])])]) ).
cnf(c_0_21,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
smaller_or_equal(age(esk3_0,esk4_0),age(esk3_0,esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
! [X60,X61,X62] :
( ( ~ greater(stock_of_knowledge(X60,X61),stock_of_knowledge(X60,X62))
| ~ smaller_or_equal(internal_friction(X60,X61),internal_friction(X60,X62))
| greater(capability(X60,X61),capability(X60,X62))
| ~ epred2_3(X62,X61,X60) )
& ( ~ smaller_or_equal(stock_of_knowledge(X60,X61),stock_of_knowledge(X60,X62))
| ~ greater(internal_friction(X60,X61),internal_friction(X60,X62))
| smaller(capability(X60,X61),capability(X60,X62))
| ~ epred2_3(X62,X61,X60) )
& ( stock_of_knowledge(X60,X61) != stock_of_knowledge(X60,X62)
| internal_friction(X60,X61) != internal_friction(X60,X62)
| capability(X60,X61) = capability(X60,X62)
| ~ epred2_3(X62,X61,X60) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_24,plain,
! [X43,X44,X45] :
( ~ organization(X43)
| stock_of_knowledge(X43,X45) = stock_of_knowledge(X43,X44) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_10])])]) ).
fof(c_0_25,plain,
! [X37,X38,X39] :
( ~ organization(X37)
| epred2_3(X38,X39,X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_26,plain,
! [X1] :
( has_endowment(X1)
<=> ! [X4] :
( organization(X1)
& ( smaller_or_equal(age(X1,X4),eta)
=> has_immunity(X1,X4) )
& ( greater(age(X1,X4),eta)
=> ~ has_immunity(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[definition_1]) ).
fof(c_0_27,plain,
! [X17,X18,X19] :
( ~ greater(X17,X18)
| ~ greater(X18,X19)
| greater(X17,X19) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])])]) ).
cnf(c_0_28,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
( age(esk3_0,esk4_0) = age(esk3_0,esk5_0)
| smaller(age(esk3_0,esk4_0),age(esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),eta),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,plain,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ epred2_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( epred2_3(X2,X3,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_34,plain,
! [X49,X50,X51] :
( ~ organization(X49)
| ~ greater(age(X49,X51),age(X49,X50))
| greater(internal_friction(X49,X51),internal_friction(X49,X50)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_12])])]) ).
fof(c_0_35,plain,
! [X22,X23,X24,X25] :
( ( organization(X22)
| ~ has_endowment(X22) )
& ( ~ smaller_or_equal(age(X22,X23),eta)
| has_immunity(X22,X23)
| ~ has_endowment(X22) )
& ( ~ greater(age(X22,X24),eta)
| ~ has_immunity(X22,X24)
| ~ has_endowment(X22) )
& ( greater(age(X25,esk2_1(X25)),eta)
| smaller_or_equal(age(X25,esk1_1(X25)),eta)
| ~ organization(X25)
| has_endowment(X25) )
& ( has_immunity(X25,esk2_1(X25))
| smaller_or_equal(age(X25,esk1_1(X25)),eta)
| ~ organization(X25)
| has_endowment(X25) )
& ( greater(age(X25,esk2_1(X25)),eta)
| ~ has_immunity(X25,esk1_1(X25))
| ~ organization(X25)
| has_endowment(X25) )
& ( has_immunity(X25,esk2_1(X25))
| ~ has_immunity(X25,esk1_1(X25))
| ~ organization(X25)
| has_endowment(X25) ) ),
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_26])])])])])])]) ).
cnf(c_0_36,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_37,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_38,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,negated_conjecture,
( age(esk3_0,esk4_0) = age(esk3_0,esk5_0)
| greater(age(esk3_0,esk5_0),age(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_40,negated_conjecture,
( age(esk3_0,esk5_0) = eta
| smaller(age(esk3_0,esk5_0),eta) ),
inference(spm,[status(thm)],[c_0_21,c_0_30]) ).
fof(c_0_41,plain,
! [X1,X4,X5] :
( epred1_3(X5,X4,X1)
<=> ( ( ( greater(capability(X1,X4),capability(X1,X5))
& greater_or_equal(position(X1,X4),position(X1,X5)) )
=> smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
& ( ( greater_or_equal(capability(X1,X4),capability(X1,X5))
& greater(position(X1,X4),position(X1,X5)) )
=> smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
& ( ( capability(X1,X4) = capability(X1,X5)
& position(X1,X4) = position(X1,X5) )
=> hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ) ) ),
introduced(definition) ).
cnf(c_0_42,plain,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X4)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_43,plain,
( greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_44,plain,
! [X28,X29,X30] :
( ~ organization(X28)
| ~ has_immunity(X28,X29)
| ~ has_immunity(X28,X30)
| hazard_of_mortality(X28,X29) = hazard_of_mortality(X28,X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])])]) ).
cnf(c_0_45,plain,
( has_immunity(X1,X2)
| ~ smaller_or_equal(age(X1,X2),eta)
| ~ has_endowment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,negated_conjecture,
has_endowment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_47,plain,
( smaller_or_equal(X1,X2)
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,negated_conjecture,
( age(esk3_0,esk4_0) = age(esk3_0,esk5_0)
| greater(X1,age(esk3_0,esk4_0))
| ~ greater(X1,age(esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,negated_conjecture,
( age(esk3_0,esk5_0) = eta
| greater(eta,age(esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
fof(c_0_50,plain,
! [X1,X4,X5] :
( epred1_3(X5,X4,X1)
=> ( ( ( greater(capability(X1,X4),capability(X1,X5))
& greater_or_equal(position(X1,X4),position(X1,X5)) )
=> smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
& ( ( greater_or_equal(capability(X1,X4),capability(X1,X5))
& greater(position(X1,X4),position(X1,X5)) )
=> smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) )
& ( ( capability(X1,X4) = capability(X1,X5)
& position(X1,X4) = position(X1,X5) )
=> hazard_of_mortality(X1,X4) = hazard_of_mortality(X1,X5) ) ) ),
inference(split_equiv,[status(thm)],[c_0_41]) ).
fof(c_0_51,plain,
! [X40,X41,X42] :
( ( ~ greater(external_ties(X40,X42),external_ties(X40,X41))
| greater(position(X40,X42),position(X40,X41))
| ~ organization(X40) )
& ( external_ties(X40,X42) != external_ties(X40,X41)
| position(X40,X42) = position(X40,X41)
| ~ organization(X40) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])])]) ).
fof(c_0_52,plain,
! [X46,X47,X48] :
( ~ organization(X46)
| external_ties(X46,X48) = external_ties(X46,X47) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_11])])]) ).
cnf(c_0_53,plain,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3))
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X4)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_54,negated_conjecture,
greater(age(esk3_0,esk7_0),age(esk3_0,esk6_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_55,negated_conjecture,
organization(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_56,plain,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_57,plain,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ organization(X1)
| ~ has_immunity(X1,X2)
| ~ has_immunity(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_58,negated_conjecture,
has_immunity(esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_30]),c_0_46])]) ).
cnf(c_0_59,plain,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ greater(eta,age(X1,X2)) ),
inference(spm,[status(thm)],[c_0_45,c_0_47]) ).
cnf(c_0_60,negated_conjecture,
( age(esk3_0,esk4_0) = age(esk3_0,esk5_0)
| age(esk3_0,esk5_0) = eta
| greater(eta,age(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_61,plain,
! [X57,X58,X59] :
( ( ~ greater(capability(X57,X58),capability(X57,X59))
| ~ greater_or_equal(position(X57,X58),position(X57,X59))
| smaller(hazard_of_mortality(X57,X58),hazard_of_mortality(X57,X59))
| ~ epred1_3(X59,X58,X57) )
& ( ~ greater_or_equal(capability(X57,X58),capability(X57,X59))
| ~ greater(position(X57,X58),position(X57,X59))
| smaller(hazard_of_mortality(X57,X58),hazard_of_mortality(X57,X59))
| ~ epred1_3(X59,X58,X57) )
& ( capability(X57,X58) != capability(X57,X59)
| position(X57,X58) != position(X57,X59)
| hazard_of_mortality(X57,X58) = hazard_of_mortality(X57,X59)
| ~ epred1_3(X59,X58,X57) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
cnf(c_0_62,plain,
( position(X1,X2) = position(X1,X3)
| external_ties(X1,X2) != external_ties(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_63,plain,
( external_ties(X1,X2) = external_ties(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_64,negated_conjecture,
( smaller(capability(esk3_0,esk7_0),capability(esk3_0,esk6_0))
| ~ smaller_or_equal(stock_of_knowledge(esk3_0,esk7_0),stock_of_knowledge(esk3_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_65,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_66,negated_conjecture,
( 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_57,c_0_58]),c_0_55])]) ).
cnf(c_0_67,negated_conjecture,
( age(esk3_0,esk4_0) = age(esk3_0,esk5_0)
| age(esk3_0,esk5_0) = eta
| has_immunity(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_46])]) ).
cnf(c_0_68,plain,
( smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ greater(capability(X1,X2),capability(X1,X3))
| ~ greater_or_equal(position(X1,X2),position(X1,X3))
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,plain,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1) ),
inference(csr,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
smaller(capability(esk3_0,esk7_0),capability(esk3_0,esk6_0)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_71,plain,
! [X11,X12] :
( ( ~ greater_or_equal(X11,X12)
| greater(X11,X12)
| X11 = X12 )
& ( ~ greater(X11,X12)
| greater_or_equal(X11,X12) )
& ( X11 != X12
| greater_or_equal(X11,X12) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_greater_or_equal])])])]) ).
cnf(c_0_72,negated_conjecture,
( age(esk3_0,esk4_0) = age(esk3_0,esk5_0)
| hazard_of_mortality(esk3_0,esk4_0) = hazard_of_mortality(esk3_0,esk5_0)
| age(esk3_0,esk5_0) = eta ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,plain,
( smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ epred1_3(X3,X2,X1)
| ~ organization(X1)
| ~ greater(capability(X1,X2),capability(X1,X3))
| ~ greater_or_equal(position(X1,X2),position(X1,X4)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
greater(capability(esk3_0,esk6_0),capability(esk3_0,esk7_0)),
inference(spm,[status(thm)],[c_0_28,c_0_70]) ).
cnf(c_0_75,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_76,plain,
! [X1,X5,X4] :
( ( organization(X1)
& ~ has_immunity(X1,X5)
& ~ has_immunity(X1,X4) )
=> epred1_3(X5,X4,X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_4]),c_0_41]) ).
cnf(c_0_77,negated_conjecture,
greater(age(esk3_0,esk6_0),eta),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_78,negated_conjecture,
( hazard_of_mortality(esk3_0,esk4_0) = hazard_of_mortality(esk3_0,esk5_0)
| age(esk3_0,esk5_0) = eta ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_72]),c_0_46]),c_0_30])]),c_0_66]) ).
cnf(c_0_79,plain,
( smaller(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk7_0))
| ~ epred1_3(esk7_0,esk6_0,esk3_0)
| ~ greater_or_equal(position(esk3_0,esk6_0),position(esk3_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_55])]) ).
cnf(c_0_80,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_75]) ).
fof(c_0_81,plain,
! [X34,X35,X36] :
( ~ organization(X34)
| has_immunity(X34,X35)
| has_immunity(X34,X36)
| epred1_3(X35,X36,X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_82,negated_conjecture,
( greater(X1,eta)
| ~ greater(X1,age(esk3_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( hazard_of_mortality(esk3_0,esk4_0) = hazard_of_mortality(esk3_0,esk5_0)
| smaller_or_equal(age(esk3_0,esk4_0),eta) ),
inference(spm,[status(thm)],[c_0_22,c_0_78]) ).
cnf(c_0_84,plain,
( smaller(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk7_0))
| ~ epred1_3(esk7_0,esk6_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| epred1_3(X2,X3,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_86,plain,
( ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2)
| ~ has_endowment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_87,negated_conjecture,
greater(age(esk3_0,esk7_0),eta),
inference(spm,[status(thm)],[c_0_82,c_0_54]) ).
fof(c_0_88,plain,
! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& ~ has_immunity(X1,X4) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
inference(fof_simplification,[status(thm)],[assumption_3]) ).
cnf(c_0_89,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0))
| ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_90,negated_conjecture,
hazard_of_mortality(esk3_0,esk4_0) = hazard_of_mortality(esk3_0,esk5_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_83]),c_0_46])]),c_0_66]) ).
cnf(c_0_91,plain,
( greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0))
| ~ epred1_3(esk7_0,esk6_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_84]) ).
cnf(c_0_92,negated_conjecture,
( epred1_3(X1,X2,esk3_0)
| has_immunity(esk3_0,X1)
| has_immunity(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_55]) ).
cnf(c_0_93,negated_conjecture,
~ has_immunity(esk3_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_46])]) ).
cnf(c_0_94,negated_conjecture,
~ has_immunity(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_77]),c_0_46])]) ).
fof(c_0_95,plain,
! [X31,X32,X33] :
( ~ organization(X31)
| ~ has_immunity(X31,X32)
| has_immunity(X31,X33)
| greater(hazard_of_mortality(X31,X33),hazard_of_mortality(X31,X32)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])]) ).
cnf(c_0_96,negated_conjecture,
( ~ 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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_97,negated_conjecture,
greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94]) ).
cnf(c_0_98,plain,
( has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_99,negated_conjecture,
~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]) ).
cnf(c_0_100,negated_conjecture,
( has_immunity(esk3_0,X1)
| greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_58]),c_0_55])]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_94]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT051+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 14:11:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.V9fAvCYfAQ/E---3.1_31049.p
% 0.22/0.51 # Version: 3.1.0
% 0.22/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51 # Starting sh5l with 300s (1) cores
% 0.22/0.51 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31138 completed with status 0
% 0.22/0.51 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51 # No SInE strategy applied
% 0.22/0.51 # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.22/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.51 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 811s (1) cores
% 0.22/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.51 # Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.22/0.51 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.22/0.51 # Starting G----_Z1014__C12_02_nc_F1_AE_CS_SP_S2S with 136s (1) cores
% 0.22/0.51 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31145 completed with status 0
% 0.22/0.51 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51 # No SInE strategy applied
% 0.22/0.51 # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.22/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.51 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 811s (1) cores
% 0.22/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.51 # Preprocessing time : 0.001 s
% 0.22/0.51 # Presaturation interreduction done
% 0.22/0.51
% 0.22/0.51 # Proof found!
% 0.22/0.51 # SZS status Theorem
% 0.22/0.51 # SZS output start CNFRefutation
% See solution above
% 0.22/0.51 # Parsed axioms : 16
% 0.22/0.51 # Removed by relevancy pruning/SinE : 0
% 0.22/0.51 # Initial clauses : 40
% 0.22/0.51 # Removed in clause preprocessing : 0
% 0.22/0.51 # Initial clauses in saturation : 40
% 0.22/0.51 # Processed clauses : 383
% 0.22/0.51 # ...of these trivial : 1
% 0.22/0.51 # ...subsumed : 131
% 0.22/0.51 # ...remaining for further processing : 251
% 0.22/0.51 # Other redundant clauses eliminated : 2
% 0.22/0.51 # Clauses deleted for lack of memory : 0
% 0.22/0.51 # Backward-subsumed : 8
% 0.22/0.51 # Backward-rewritten : 10
% 0.22/0.51 # Generated clauses : 838
% 0.22/0.51 # ...of the previous two non-redundant : 710
% 0.22/0.51 # ...aggressively subsumed : 0
% 0.22/0.51 # Contextual simplify-reflections : 10
% 0.22/0.51 # Paramodulations : 832
% 0.22/0.51 # Factorizations : 2
% 0.22/0.51 # NegExts : 0
% 0.22/0.51 # Equation resolutions : 3
% 0.22/0.51 # Disequality decompositions : 0
% 0.22/0.51 # Total rewrite steps : 283
% 0.22/0.51 # ...of those cached : 266
% 0.22/0.51 # Propositional unsat checks : 0
% 0.22/0.51 # Propositional check models : 0
% 0.22/0.51 # Propositional check unsatisfiable : 0
% 0.22/0.51 # Propositional clauses : 0
% 0.22/0.51 # Propositional clauses after purity: 0
% 0.22/0.51 # Propositional unsat core size : 0
% 0.22/0.51 # Propositional preprocessing time : 0.000
% 0.22/0.51 # Propositional encoding time : 0.000
% 0.22/0.51 # Propositional solver time : 0.000
% 0.22/0.51 # Success case prop preproc time : 0.000
% 0.22/0.51 # Success case prop encoding time : 0.000
% 0.22/0.51 # Success case prop solver time : 0.000
% 0.22/0.51 # Current number of processed clauses : 190
% 0.22/0.51 # Positive orientable unit clauses : 16
% 0.22/0.51 # Positive unorientable unit clauses: 0
% 0.22/0.51 # Negative unit clauses : 7
% 0.22/0.51 # Non-unit-clauses : 167
% 0.22/0.51 # Current number of unprocessed clauses: 376
% 0.22/0.51 # ...number of literals in the above : 1634
% 0.22/0.51 # Current number of archived formulas : 0
% 0.22/0.51 # Current number of archived clauses : 59
% 0.22/0.51 # Clause-clause subsumption calls (NU) : 6652
% 0.22/0.51 # Rec. Clause-clause subsumption calls : 3520
% 0.22/0.51 # Non-unit clause-clause subsumptions : 141
% 0.22/0.51 # Unit Clause-clause subsumption calls : 56
% 0.22/0.51 # Rewrite failures with RHS unbound : 0
% 0.22/0.51 # BW rewrite match attempts : 9
% 0.22/0.51 # BW rewrite match successes : 4
% 0.22/0.51 # Condensation attempts : 0
% 0.22/0.51 # Condensation successes : 0
% 0.22/0.51 # Termbank termtop insertions : 17176
% 0.22/0.51 # Search garbage collected termcells : 675
% 0.22/0.51
% 0.22/0.51 # -------------------------------------------------
% 0.22/0.51 # User time : 0.021 s
% 0.22/0.51 # System time : 0.003 s
% 0.22/0.51 # Total time : 0.024 s
% 0.22/0.51 # Maximum resident set size: 1860 pages
% 0.22/0.51
% 0.22/0.51 # -------------------------------------------------
% 0.22/0.51 # User time : 0.097 s
% 0.22/0.51 # System time : 0.013 s
% 0.22/0.51 # Total time : 0.110 s
% 0.22/0.51 # Maximum resident set size: 1748 pages
% 0.22/0.51 % E---3.1 exiting
% 0.22/0.51 % E exiting
%------------------------------------------------------------------------------