%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT051+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.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 : Tue May 5 04:48:20 PM UTC 2026
% Result : Theorem 8.32s 5.84s
% Output : CNFRefutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 101 ( 19 unt; 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 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 ?)
% 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/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,
! [X53,X54] :
( ( ~ smaller_or_equal(X53,X54)
| smaller(X53,X54)
| X53 = X54 )
& ( ~ smaller(X53,X54)
| smaller_or_equal(X53,X54) )
& ( X53 != X54
| smaller_or_equal(X53,X54) ) ),
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,
! [X57,X58] :
( ( ~ smaller(X57,X58)
| greater(X58,X57) )
& ( ~ greater(X58,X57)
| smaller(X57,X58) ) ),
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,
! [X61,X62,X63] :
( ~ greater(X61,X62)
| ~ greater(X62,X63)
| greater(X61,X63) ),
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,
! [X104,X105,X106] :
( ( ~ greater(stock_of_knowledge(X104,X105),stock_of_knowledge(X104,X106))
| ~ smaller_or_equal(internal_friction(X104,X105),internal_friction(X104,X106))
| greater(capability(X104,X105),capability(X104,X106))
| ~ epred2_3(X106,X105,X104) )
& ( ~ smaller_or_equal(stock_of_knowledge(X104,X105),stock_of_knowledge(X104,X106))
| ~ greater(internal_friction(X104,X105),internal_friction(X104,X106))
| smaller(capability(X104,X105),capability(X104,X106))
| ~ epred2_3(X106,X105,X104) )
& ( stock_of_knowledge(X104,X105) != stock_of_knowledge(X104,X106)
| internal_friction(X104,X105) != internal_friction(X104,X106)
| capability(X104,X105) = capability(X104,X106)
| ~ epred2_3(X106,X105,X104) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_31,plain,
! [X81,X82,X83] :
( ~ organization(X81)
| epred2_3(X82,X83,X81) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
fof(c_0_32,plain,
! [X93,X94,X95] :
( ~ organization(X93)
| ~ greater(age(X93,X95),age(X93,X94))
| greater(internal_friction(X93,X95),internal_friction(X93,X94)) ),
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,
! [X66,X67,X68,X69] :
( ( organization(X66)
| ~ has_endowment(X66) )
& ( ~ smaller_or_equal(age(X66,X67),eta)
| has_immunity(X66,X67)
| ~ has_endowment(X66) )
& ( ~ greater(age(X66,X68),eta)
| ~ has_immunity(X66,X68)
| ~ has_endowment(X66) )
& ( greater(age(X69,esk2_1(X69)),eta)
| smaller_or_equal(age(X69,esk1_1(X69)),eta)
| ~ organization(X69)
| has_endowment(X69) )
& ( has_immunity(X69,esk2_1(X69))
| smaller_or_equal(age(X69,esk1_1(X69)),eta)
| ~ organization(X69)
| has_endowment(X69) )
& ( greater(age(X69,esk2_1(X69)),eta)
| ~ has_immunity(X69,esk1_1(X69))
| ~ organization(X69)
| has_endowment(X69) )
& ( has_immunity(X69,esk2_1(X69))
| ~ has_immunity(X69,esk1_1(X69))
| ~ organization(X69)
| has_endowment(X69) ) ),
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,
! [X87,X88,X89] :
( ~ organization(X87)
| stock_of_knowledge(X87,X89) = stock_of_knowledge(X87,X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_10])]) ).
fof(c_0_48,plain,
! [X72,X73,X74] :
( ~ organization(X72)
| ~ has_immunity(X72,X73)
| ~ has_immunity(X72,X74)
| hazard_of_mortality(X72,X73) = hazard_of_mortality(X72,X74) ),
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,
! [X101,X102,X103] :
( ( ~ greater(capability(X101,X102),capability(X101,X103))
| ~ greater_or_equal(position(X101,X102),position(X101,X103))
| smaller(hazard_of_mortality(X101,X102),hazard_of_mortality(X101,X103))
| ~ epred1_3(X103,X102,X101) )
& ( ~ greater_or_equal(capability(X101,X102),capability(X101,X103))
| ~ greater(position(X101,X102),position(X101,X103))
| smaller(hazard_of_mortality(X101,X102),hazard_of_mortality(X101,X103))
| ~ epred1_3(X103,X102,X101) )
& ( capability(X101,X102) != capability(X101,X103)
| position(X101,X102) != position(X101,X103)
| hazard_of_mortality(X101,X102) = hazard_of_mortality(X101,X103)
| ~ epred1_3(X103,X102,X101) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_63,plain,
! [X78,X79,X80] :
( ~ organization(X78)
| has_immunity(X78,X79)
| has_immunity(X78,X80)
| epred1_3(X79,X80,X78) ),
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,
! [X84,X85,X86] :
( ( ~ greater(external_ties(X84,X86),external_ties(X84,X85))
| greater(position(X84,X86),position(X84,X85))
| ~ organization(X84) )
& ( external_ties(X84,X86) != external_ties(X84,X85)
| position(X84,X86) = position(X84,X85)
| ~ organization(X84) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])]) ).
fof(c_0_76,plain,
! [X90,X91,X92] :
( ~ organization(X90)
| external_ties(X90,X92) = external_ties(X90,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_11])]) ).
fof(c_0_77,plain,
! [X75,X76,X77] :
( ~ organization(X75)
| ~ has_immunity(X75,X76)
| has_immunity(X75,X77)
| greater(hazard_of_mortality(X75,X77),hazard_of_mortality(X75,X76)) ),
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,
! [X55,X56] :
( ( ~ greater_or_equal(X55,X56)
| greater(X55,X56)
| X55 = X56 )
& ( ~ greater(X55,X56)
| greater_or_equal(X55,X56) )
& ( X55 != X56
| greater_or_equal(X55,X56) ) ),
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
% 0.00/0.12 % Problem : MGT051+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n017.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 23:29:27 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 8.32/5.84 % Version : CSE_E---1.7
% 8.32/5.84 % Problem : theBenchmark.p
% 8.32/5.84 % SZS status Theorem for theBenchmark.p
% 8.32/5.84 % SZS output start CNFRefutation
% See solution above
% 8.32/5.86 % Total time : 4.372s
%------------------------------------------------------------------------------