TSTP Solution File: MGT051+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT051+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : Thu Aug 31 09:08:41 EDT 2023
% Result : Theorem 1.54s 1.62s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 40
% Syntax : Number of formulae : 125 ( 19 unt; 24 typ; 0 def)
% Number of atoms : 372 ( 75 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 392 ( 121 ~; 141 |; 83 &)
% ( 7 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 18 >; 16 *; 0 +; 0 <<)
% 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 : 177 ( 10 sgn; 111 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
smaller_or_equal: ( $i * $i ) > $o ).
tff(decl_23,type,
smaller: ( $i * $i ) > $o ).
tff(decl_24,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_25,type,
greater: ( $i * $i ) > $o ).
tff(decl_26,type,
has_endowment: $i > $o ).
tff(decl_27,type,
organization: $i > $o ).
tff(decl_28,type,
age: ( $i * $i ) > $i ).
tff(decl_29,type,
eta: $i ).
tff(decl_30,type,
has_immunity: ( $i * $i ) > $o ).
tff(decl_31,type,
hazard_of_mortality: ( $i * $i ) > $i ).
tff(decl_32,type,
capability: ( $i * $i ) > $i ).
tff(decl_33,type,
position: ( $i * $i ) > $i ).
tff(decl_34,type,
stock_of_knowledge: ( $i * $i ) > $i ).
tff(decl_35,type,
internal_friction: ( $i * $i ) > $i ).
tff(decl_36,type,
external_ties: ( $i * $i ) > $i ).
tff(decl_37,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
esk1_1: $i > $i ).
tff(decl_40,type,
esk2_1: $i > $i ).
tff(decl_41,type,
esk3_0: $i ).
tff(decl_42,type,
esk4_0: $i ).
tff(decl_43,type,
esk5_0: $i ).
tff(decl_44,type,
esk6_0: $i ).
tff(decl_45,type,
esk7_0: $i ).
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/sandbox/benchmark/theBenchmark.p',theorem_4) ).
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_transitive,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
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/sandbox/benchmark/theBenchmark.p',assumption_5) ).
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/sandbox/benchmark/theBenchmark.p',assumption_12) ).
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/sandbox/benchmark/theBenchmark.p',definition_1) ).
fof(assumption_10,axiom,
! [X1,X5,X4] :
( organization(X1)
=> stock_of_knowledge(X1,X4) = stock_of_knowledge(X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10) ).
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/sandbox/benchmark/theBenchmark.p',assumption_2) ).
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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',assumption_3) ).
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/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(assumption_11,axiom,
! [X1,X5,X4] :
( organization(X1)
=> external_ties(X1,X4) = external_ties(X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11) ).
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(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,
! [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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
fof(c_0_16,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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_17,plain,
! [X13,X14] :
( ( ~ smaller(X13,X14)
| greater(X14,X13) )
& ( ~ greater(X14,X13)
| smaller(X13,X14) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
cnf(c_0_18,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
smaller_or_equal(age(esk3_0,esk4_0),age(esk3_0,esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,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_21,plain,
! [X17,X18,X19] :
( ~ greater(X17,X18)
| ~ greater(X18,X19)
| greater(X17,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).
cnf(c_0_22,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,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_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),eta),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_25,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_20]) ).
fof(c_0_26,axiom,
! [X1,X5,X4] :
( organization(X1)
=> epred2_3(X5,X4,X1) ),
inference(apply_def,[status(thm)],[assumption_5,c_0_20]) ).
cnf(c_0_27,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,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_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( age(esk3_0,esk5_0) = eta
| smaller(age(esk3_0,esk5_0),eta) ),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
fof(c_0_30,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_31,plain,
! [X37,X38,X39] :
( ~ organization(X37)
| epred2_3(X38,X39,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
fof(c_0_32,plain,
! [X49,X50,X51] :
( ~ organization(X49)
| ~ greater(age(X49,X51),age(X49,X50))
| greater(internal_friction(X49,X51),internal_friction(X49,X50)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_12])]) ).
fof(c_0_33,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]) ).
cnf(c_0_34,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_27,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( age(esk3_0,esk5_0) = eta
| greater(eta,age(esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_36,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_30]) ).
cnf(c_0_37,plain,
( epred2_3(X2,X3,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,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_32]) ).
cnf(c_0_39,negated_conjecture,
greater(age(esk3_0,esk7_0),age(esk3_0,esk6_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_40,negated_conjecture,
organization(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_41,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(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_33])])])])])]) ).
cnf(c_0_42,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_43,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_34,c_0_35]) ).
fof(c_0_44,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_45,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,X3)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,negated_conjecture,
greater(internal_friction(esk3_0,esk7_0),internal_friction(esk3_0,esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
fof(c_0_47,plain,
! [X43,X44,X45] :
( ~ organization(X43)
| stock_of_knowledge(X43,X45) = stock_of_knowledge(X43,X44) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_10])]) ).
fof(c_0_48,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])]) ).
cnf(c_0_49,plain,
( has_immunity(X1,X2)
| ~ smaller_or_equal(age(X1,X2),eta)
| ~ has_endowment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
has_endowment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_51,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_52,negated_conjecture,
( age(esk3_0,esk4_0) = age(esk3_0,esk5_0)
| age(esk3_0,esk5_0) = eta
| smaller(age(esk3_0,esk4_0),eta) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_53,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_44]) ).
fof(c_0_54,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_44]) ).
cnf(c_0_55,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,esk6_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_40])]) ).
cnf(c_0_56,plain,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_58,negated_conjecture,
greater(age(esk3_0,esk6_0),eta),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_59,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_48]) ).
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_49,c_0_24]),c_0_50])]) ).
cnf(c_0_61,negated_conjecture,
( age(esk3_0,esk4_0) = age(esk3_0,esk5_0)
| age(esk3_0,esk5_0) = eta
| smaller_or_equal(age(esk3_0,esk4_0),eta) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_62,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_63,plain,
! [X34,X35,X36] :
( ~ organization(X34)
| has_immunity(X34,X35)
| has_immunity(X34,X36)
| epred1_3(X35,X36,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])]) ).
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_55,c_0_56]),c_0_40])]) ).
cnf(c_0_65,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_66,negated_conjecture,
( greater(X1,eta)
| ~ greater(X1,age(esk3_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_58]) ).
fof(c_0_67,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_68,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_59,c_0_60]),c_0_40])]) ).
cnf(c_0_69,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_49,c_0_61]),c_0_50])]) ).
cnf(c_0_70,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_62]) ).
cnf(c_0_71,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| epred1_3(X2,X3,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,negated_conjecture,
smaller(capability(esk3_0,esk7_0),capability(esk3_0,esk6_0)),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,plain,
( ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2)
| ~ has_endowment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_74,negated_conjecture,
greater(age(esk3_0,esk7_0),eta),
inference(spm,[status(thm)],[c_0_66,c_0_39]) ).
fof(c_0_75,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])]) ).
fof(c_0_76,plain,
! [X46,X47,X48] :
( ~ organization(X46)
| external_ties(X46,X48) = external_ties(X46,X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_11])]) ).
fof(c_0_77,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])]) ).
cnf(c_0_78,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_68,c_0_69]) ).
cnf(c_0_79,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2))
| ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,negated_conjecture,
greater(capability(esk3_0,esk6_0),capability(esk3_0,esk7_0)),
inference(spm,[status(thm)],[c_0_22,c_0_72]) ).
cnf(c_0_81,negated_conjecture,
~ has_immunity(esk3_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_50])]) ).
cnf(c_0_82,negated_conjecture,
~ has_immunity(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_58]),c_0_50])]) ).
cnf(c_0_83,plain,
( position(X1,X2) = position(X1,X3)
| external_ties(X1,X2) != external_ties(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_84,plain,
( external_ties(X1,X2) = external_ties(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_85,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_greater_or_equal])])]) ).
cnf(c_0_86,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_77]) ).
cnf(c_0_87,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_49,c_0_78]),c_0_50]),c_0_24])]),c_0_68]) ).
cnf(c_0_88,plain,
( smaller(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk7_0))
| ~ greater_or_equal(position(esk3_0,esk6_0),position(esk3_0,esk7_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_40])]),c_0_81]),c_0_82]) ).
cnf(c_0_89,plain,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1) ),
inference(csr,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_91,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_16]) ).
cnf(c_0_92,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_86,c_0_60]),c_0_40])]) ).
cnf(c_0_93,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_19,c_0_87]) ).
cnf(c_0_94,plain,
( smaller(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk7_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_88,c_0_89]),c_0_40])]) ).
cnf(c_0_95,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_90]) ).
cnf(c_0_96,negated_conjecture,
( hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0)
| ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_82]) ).
cnf(c_0_97,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_49,c_0_93]),c_0_50])]),c_0_68]) ).
cnf(c_0_98,plain,
smaller(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk7_0)),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
~ 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_96,c_0_97])]) ).
cnf(c_0_100,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_98]),c_0_99]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT051+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:03:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 1.54/1.62 % Version : CSE_E---1.5
% 1.54/1.62 % Problem : theBenchmark.p
% 1.54/1.62 % Proof found
% 1.54/1.62 % SZS status Theorem for theBenchmark.p
% 1.54/1.62 % SZS output start Proof
% See solution above
% 1.54/1.62 % Total time : 1.040000 s
% 1.54/1.62 % SZS output end Proof
% 1.54/1.62 % Total time : 1.043000 s
%------------------------------------------------------------------------------