TSTP Solution File: MGT042+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : MGT042+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:06:47 EDT 2022
% Result : Theorem 7.25s 2.29s
% Output : CNFRefutation 7.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 87 ( 14 unt; 0 def)
% Number of atoms : 332 ( 76 equ)
% Maximal formula atoms : 35 ( 3 avg)
% Number of connectives : 353 ( 108 ~; 129 |; 78 &)
% ( 5 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 110 ( 2 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_1,conjecture,
! [X1,X4,X5] :
( ( organization(X1)
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5) )
=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4))
& greater_or_equal(external_ties(X1,X5),external_ties(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( greater_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4))
& greater(external_ties(X1,X5),external_ties(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
fof(assumption_5,axiom,
! [X1,X4,X5] :
( organization(X1)
=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(definition_greater_or_equal,axiom,
! [X1,X2] :
( greater_or_equal(X1,X2)
<=> ( greater(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
fof(assumption_4,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5) )
=> ( ( ( greater(capability(X1,X5),capability(X1,X4))
& greater_or_equal(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( greater_or_equal(capability(X1,X5),capability(X1,X4))
& greater(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( capability(X1,X5) = capability(X1,X4)
& position(X1,X5) = position(X1,X4) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).
fof(assumption_6,axiom,
! [X1,X4,X5] :
( organization(X1)
=> ( ( greater(external_ties(X1,X5),external_ties(X1,X4))
=> greater(position(X1,X5),position(X1,X4)) )
& ( external_ties(X1,X5) = external_ties(X1,X4)
=> position(X1,X5) = position(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(meaning_postulate_greater_strict,axiom,
! [X1,X2] :
~ ( greater(X1,X2)
& greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(c_0_8,plain,
! [X1,X5,X4] :
( epred2_3(X4,X5,X1)
<=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
introduced(definition) ).
fof(c_0_9,negated_conjecture,
~ ! [X1,X4,X5] :
( ( organization(X1)
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5) )
=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4))
& greater_or_equal(external_ties(X1,X5),external_ties(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( greater_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4))
& greater(external_ties(X1,X5),external_ties(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ) ) ),
inference(assume_negation,[status(cth)],[lemma_1]) ).
fof(c_0_10,plain,
! [X1,X5,X4] :
( epred2_3(X4,X5,X1)
=> ( ( ( greater(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& smaller_or_equal(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> greater(capability(X1,X5),capability(X1,X4)) )
& ( ( smaller_or_equal(stock_of_knowledge(X1,X5),stock_of_knowledge(X1,X4))
& greater(internal_friction(X1,X5),internal_friction(X1,X4)) )
=> smaller(capability(X1,X5),capability(X1,X4)) )
& ( ( stock_of_knowledge(X1,X5) = stock_of_knowledge(X1,X4)
& internal_friction(X1,X5) = internal_friction(X1,X4) )
=> capability(X1,X5) = capability(X1,X4) ) ) ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
fof(c_0_11,negated_conjecture,
( organization(esk1_0)
& ~ has_immunity(esk1_0,esk2_0)
& ~ has_immunity(esk1_0,esk3_0)
& ( greater_or_equal(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0))
| greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)) )
& ( smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0))
| greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)) )
& ( greater(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0))
| greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)) )
& ( ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0))
| greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)) )
& ( greater_or_equal(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0))
| smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)) )
& ( smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0))
| smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)) )
& ( greater(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0))
| smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)) )
& ( ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0))
| smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)) )
& ( greater_or_equal(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0))
| greater_or_equal(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0)) )
& ( smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0))
| greater_or_equal(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0)) )
& ( greater(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0))
| greater_or_equal(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0)) )
& ( ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0))
| greater_or_equal(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0)) )
& ( greater_or_equal(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)) )
& ( smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)) )
& ( greater(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)) )
& ( ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_12,plain,
! [X34,X35,X36] :
( ( ~ greater(stock_of_knowledge(X34,X35),stock_of_knowledge(X34,X36))
| ~ smaller_or_equal(internal_friction(X34,X35),internal_friction(X34,X36))
| greater(capability(X34,X35),capability(X34,X36))
| ~ epred2_3(X36,X35,X34) )
& ( ~ smaller_or_equal(stock_of_knowledge(X34,X35),stock_of_knowledge(X34,X36))
| ~ greater(internal_friction(X34,X35),internal_friction(X34,X36))
| smaller(capability(X34,X35),capability(X34,X36))
| ~ epred2_3(X36,X35,X34) )
& ( stock_of_knowledge(X34,X35) != stock_of_knowledge(X34,X36)
| internal_friction(X34,X35) != internal_friction(X34,X36)
| capability(X34,X35) = capability(X34,X36)
| ~ epred2_3(X36,X35,X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_13,negated_conjecture,
( smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0))
| smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,axiom,
! [X1,X4,X5] :
( organization(X1)
=> epred2_3(X4,X5,X1) ),
inference(apply_def,[status(thm)],[assumption_5,c_0_8]) ).
fof(c_0_15,plain,
! [X8,X9] :
( ( ~ greater_or_equal(X8,X9)
| greater(X8,X9)
| X8 = X9 )
& ( ~ greater(X8,X9)
| greater_or_equal(X8,X9) )
& ( X8 != X9
| greater_or_equal(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_greater_or_equal])])]) ).
fof(c_0_16,plain,
! [X1,X5,X4] :
( epred1_3(X4,X5,X1)
<=> ( ( ( greater(capability(X1,X5),capability(X1,X4))
& greater_or_equal(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( greater_or_equal(capability(X1,X5),capability(X1,X4))
& greater(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( capability(X1,X5) = capability(X1,X4)
& position(X1,X5) = position(X1,X4) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ) ) ),
introduced(definition) ).
cnf(c_0_17,plain,
( greater(capability(X1,X2),capability(X1,X3))
| ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ epred2_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
smaller_or_equal(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)),
inference(cn,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X22,X23,X24] :
( ~ organization(X22)
| epred2_3(X23,X24,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_20,negated_conjecture,
( greater_or_equal(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0))
| greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X1,X5,X4] :
( epred1_3(X4,X5,X1)
=> ( ( ( greater(capability(X1,X5),capability(X1,X4))
& greater_or_equal(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( greater_or_equal(capability(X1,X5),capability(X1,X4))
& greater(position(X1,X5),position(X1,X4)) )
=> smaller(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) )
& ( ( capability(X1,X5) = capability(X1,X4)
& position(X1,X5) = position(X1,X4) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ) ) ),
inference(split_equiv,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0))
| ~ epred2_3(esk2_0,esk3_0,esk1_0)
| ~ greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( epred2_3(X2,X3,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,negated_conjecture,
greater_or_equal(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)),
inference(csr,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( greater(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0))
| greater_or_equal(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_29,plain,
! [X31,X32,X33] :
( ( ~ greater(capability(X31,X32),capability(X31,X33))
| ~ greater_or_equal(position(X31,X32),position(X31,X33))
| smaller(hazard_of_mortality(X31,X32),hazard_of_mortality(X31,X33))
| ~ epred1_3(X33,X32,X31) )
& ( ~ greater_or_equal(capability(X31,X32),capability(X31,X33))
| ~ greater(position(X31,X32),position(X31,X33))
| smaller(hazard_of_mortality(X31,X32),hazard_of_mortality(X31,X33))
| ~ epred1_3(X33,X32,X31) )
& ( capability(X31,X32) != capability(X31,X33)
| position(X31,X32) != position(X31,X33)
| hazard_of_mortality(X31,X32) = hazard_of_mortality(X31,X33)
| ~ epred1_3(X33,X32,X31) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
cnf(c_0_30,negated_conjecture,
( greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0))
| ~ greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_31,negated_conjecture,
( stock_of_knowledge(esk1_0,esk2_0) = stock_of_knowledge(esk1_0,esk3_0)
| greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0))
| ~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_33,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& ~ has_immunity(X1,X4)
& ~ has_immunity(X1,X5) )
=> epred1_3(X4,X5,X1) ),
inference(apply_def,[status(thm)],[assumption_4,c_0_16]) ).
fof(c_0_34,plain,
! [X25,X26,X27] :
( ( ~ greater(external_ties(X25,X27),external_ties(X25,X26))
| greater(position(X25,X27),position(X25,X26))
| ~ organization(X25) )
& ( external_ties(X25,X27) != external_ties(X25,X26)
| position(X25,X27) = position(X25,X26)
| ~ organization(X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])]) ).
cnf(c_0_35,negated_conjecture,
greater_or_equal(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0)),
inference(csr,[status(thm)],[c_0_28,c_0_21]) ).
cnf(c_0_36,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_29]) ).
cnf(c_0_37,negated_conjecture,
( stock_of_knowledge(esk1_0,esk2_0) = stock_of_knowledge(esk1_0,esk3_0)
| greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
~ smaller(hazard_of_mortality(esk1_0,esk3_0),hazard_of_mortality(esk1_0,esk2_0)),
inference(cn,[status(thm)],[c_0_32]) ).
fof(c_0_39,plain,
! [X19,X20,X21] :
( ~ organization(X19)
| has_immunity(X19,X20)
| has_immunity(X19,X21)
| epred1_3(X20,X21,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_33])])]) ).
cnf(c_0_40,plain,
( greater(position(X1,X2),position(X1,X3))
| ~ greater(external_ties(X1,X2),external_ties(X1,X3))
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( external_ties(esk1_0,esk2_0) = external_ties(esk1_0,esk3_0)
| greater(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_35]) ).
cnf(c_0_42,plain,
( stock_of_knowledge(esk1_0,esk2_0) = stock_of_knowledge(esk1_0,esk3_0)
| ~ epred1_3(esk2_0,esk3_0,esk1_0)
| ~ greater_or_equal(position(esk1_0,esk3_0),position(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_43,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| epred1_3(X2,X3,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
~ has_immunity(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_45,negated_conjecture,
~ has_immunity(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46,negated_conjecture,
( external_ties(esk1_0,esk2_0) = external_ties(esk1_0,esk3_0)
| greater(position(esk1_0,esk3_0),position(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_25])]) ).
fof(c_0_47,plain,
! [X6,X7] :
( ( ~ smaller_or_equal(X6,X7)
| smaller(X6,X7)
| X6 = X7 )
& ( ~ smaller(X6,X7)
| smaller_or_equal(X6,X7) )
& ( X6 != X7
| smaller_or_equal(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
cnf(c_0_48,plain,
( stock_of_knowledge(esk1_0,esk2_0) = stock_of_knowledge(esk1_0,esk3_0)
| ~ greater_or_equal(position(esk1_0,esk3_0),position(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_25])]),c_0_44]),c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( external_ties(esk1_0,esk2_0) = external_ties(esk1_0,esk3_0)
| greater_or_equal(position(esk1_0,esk3_0),position(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_46]) ).
fof(c_0_50,plain,
! [X10,X11] :
( ( ~ smaller(X10,X11)
| greater(X11,X10) )
& ( ~ greater(X11,X10)
| smaller(X10,X11) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
cnf(c_0_51,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,plain,
( position(X1,X2) = position(X1,X3)
| external_ties(X1,X2) != external_ties(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_53,negated_conjecture,
( external_ties(esk1_0,esk2_0) = external_ties(esk1_0,esk3_0)
| stock_of_knowledge(esk1_0,esk2_0) = stock_of_knowledge(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0)
| smaller(internal_friction(esk1_0,esk3_0),internal_friction(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_51,c_0_18]) ).
cnf(c_0_56,negated_conjecture,
( stock_of_knowledge(esk1_0,esk2_0) = stock_of_knowledge(esk1_0,esk3_0)
| position(esk1_0,esk2_0) = position(esk1_0,X1)
| external_ties(esk1_0,esk3_0) != external_ties(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_25])]) ).
cnf(c_0_57,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_58,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_12]) ).
cnf(c_0_59,negated_conjecture,
( internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0)
| greater(internal_friction(esk1_0,esk2_0),internal_friction(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( position(esk1_0,esk2_0) = position(esk1_0,esk3_0)
| stock_of_knowledge(esk1_0,esk2_0) = stock_of_knowledge(esk1_0,esk3_0) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_61,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_63,negated_conjecture,
( greater(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0))
| greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_64,negated_conjecture,
( internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0)
| smaller(capability(esk1_0,esk2_0),capability(esk1_0,esk3_0))
| ~ epred2_3(esk3_0,esk2_0,esk1_0)
| ~ smaller_or_equal(stock_of_knowledge(esk1_0,esk2_0),stock_of_knowledge(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
stock_of_knowledge(esk1_0,esk2_0) = stock_of_knowledge(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_60]),c_0_61])]) ).
cnf(c_0_66,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
( smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ greater_or_equal(capability(X1,X2),capability(X1,X3))
| ~ greater(position(X1,X2),position(X1,X3))
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_68,negated_conjecture,
( greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0))
| greater(position(esk1_0,esk3_0),position(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_63]),c_0_25])]) ).
cnf(c_0_69,negated_conjecture,
( internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0)
| smaller(capability(esk1_0,esk2_0),capability(esk1_0,esk3_0))
| ~ epred2_3(esk3_0,esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_70,plain,
( greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0))
| ~ epred1_3(esk2_0,esk3_0,esk1_0)
| ~ greater_or_equal(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_38]) ).
cnf(c_0_71,negated_conjecture,
( internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0)
| smaller(capability(esk1_0,esk2_0),capability(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_24]),c_0_25])]) ).
cnf(c_0_72,plain,
( capability(X1,X2) = capability(X1,X3)
| stock_of_knowledge(X1,X2) != stock_of_knowledge(X1,X3)
| internal_friction(X1,X2) != internal_friction(X1,X3)
| ~ epred2_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_73,plain,
( greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk2_0))
| ~ greater_or_equal(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_43]),c_0_25])]),c_0_44]),c_0_45]) ).
cnf(c_0_74,negated_conjecture,
( internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0)
| greater(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_54,c_0_71]) ).
cnf(c_0_75,plain,
( capability(esk1_0,X1) = capability(esk1_0,esk2_0)
| stock_of_knowledge(esk1_0,X1) != stock_of_knowledge(esk1_0,esk3_0)
| internal_friction(esk1_0,X1) != internal_friction(esk1_0,esk2_0)
| ~ epred2_3(esk2_0,X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_65]) ).
fof(c_0_76,plain,
! [X12,X13] :
( ~ greater(X12,X13)
| ~ greater(X13,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])]) ).
cnf(c_0_77,plain,
( greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk3_0))
| ~ greater_or_equal(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_73,c_0_65]) ).
cnf(c_0_78,negated_conjecture,
( internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0)
| greater_or_equal(capability(esk1_0,esk3_0),capability(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_74]) ).
cnf(c_0_79,plain,
( capability(esk1_0,X1) = capability(esk1_0,esk2_0)
| stock_of_knowledge(esk1_0,X1) != stock_of_knowledge(esk1_0,esk3_0)
| internal_friction(esk1_0,X1) != internal_friction(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_24]),c_0_25])]) ).
cnf(c_0_80,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_81,plain,
( internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0)
| greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,plain,
( capability(esk1_0,esk2_0) = capability(esk1_0,esk3_0)
| internal_friction(esk1_0,esk2_0) != internal_friction(esk1_0,esk3_0) ),
inference(er,[status(thm)],[c_0_79]) ).
cnf(c_0_83,plain,
internal_friction(esk1_0,esk2_0) = internal_friction(esk1_0,esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81]) ).
cnf(c_0_84,plain,
capability(esk1_0,esk2_0) = capability(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).
cnf(c_0_85,plain,
greater(stock_of_knowledge(esk1_0,esk3_0),stock_of_knowledge(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_84]),c_0_61])]) ).
cnf(c_0_86,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_85]),c_0_85])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT042+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 9 12:39:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.25/2.29 # ENIGMATIC: Solved by autoschedule:
% 7.25/2.29 # No SInE strategy applied
% 7.25/2.29 # Trying AutoSched0 for 150 seconds
% 7.25/2.29 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 7.25/2.29 # and selection function PSelectNewComplexAHP.
% 7.25/2.29 #
% 7.25/2.29 # Preprocessing time : 0.026 s
% 7.25/2.29 # Presaturation interreduction done
% 7.25/2.29
% 7.25/2.29 # Proof found!
% 7.25/2.29 # SZS status Theorem
% 7.25/2.29 # SZS output start CNFRefutation
% See solution above
% 7.25/2.29 # Training examples: 0 positive, 0 negative
% 7.25/2.29
% 7.25/2.29 # -------------------------------------------------
% 7.25/2.29 # User time : 0.045 s
% 7.25/2.29 # System time : 0.006 s
% 7.25/2.29 # Total time : 0.051 s
% 7.25/2.29 # Maximum resident set size: 7124 pages
% 7.25/2.29
%------------------------------------------------------------------------------