TSTP Solution File: MGT057+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 22:10:15 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 124 ( 16 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 138 ( 48 ~; 48 |; 33 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 55 ( 6 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_6,conjecture,
! [X1,X5,X6,X7] :
( ( organization(X1)
& has_endowment(X1)
& age(X1,X5) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& greater(eta,zero) )
=> ( 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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',theorem_6) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',definition_1) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',assumption_3) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',assumption_2) ).
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(c_0_6,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( organization(X1)
& has_endowment(X1)
& age(X1,X5) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& greater(eta,zero) )
=> ( 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_6]) ).
fof(c_0_7,plain,
! [X5,X6,X6,X5] :
( ( organization(X5)
| ~ has_endowment(X5) )
& ( ~ smaller_or_equal(age(X5,X6),eta)
| has_immunity(X5,X6)
| ~ has_endowment(X5) )
& ( ~ greater(age(X5,X6),eta)
| ~ has_immunity(X5,X6)
| ~ has_endowment(X5) )
& ( greater(age(X5,esk6_1(X5)),eta)
| smaller_or_equal(age(X5,esk5_1(X5)),eta)
| ~ organization(X5)
| has_endowment(X5) )
& ( has_immunity(X5,esk6_1(X5))
| smaller_or_equal(age(X5,esk5_1(X5)),eta)
| ~ organization(X5)
| has_endowment(X5) )
& ( greater(age(X5,esk6_1(X5)),eta)
| ~ has_immunity(X5,esk5_1(X5))
| ~ organization(X5)
| has_endowment(X5) )
& ( has_immunity(X5,esk6_1(X5))
| ~ has_immunity(X5,esk5_1(X5))
| ~ organization(X5)
| has_endowment(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[definition_1])])])])])])])]) ).
fof(c_0_8,negated_conjecture,
( organization(esk1_0)
& has_endowment(esk1_0)
& age(esk1_0,esk2_0) = zero
& smaller_or_equal(age(esk1_0,esk3_0),eta)
& greater(age(esk1_0,esk4_0),eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0))
| hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| ~ has_immunity(X6,X7)
| has_immunity(X6,X8)
| greater(hazard_of_mortality(X6,X8),hazard_of_mortality(X6,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_3])])]) ).
cnf(c_0_10,plain,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
smaller_or_equal(age(esk1_0,esk3_0),eta),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
has_endowment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0)
| ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| has_immunity(X1,X2)
| ~ has_immunity(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
has_immunity(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
fof(c_0_17,plain,
! [X6,X7,X8] :
( ~ organization(X6)
| ~ has_immunity(X6,X7)
| ~ has_immunity(X6,X8)
| hazard_of_mortality(X6,X7) = hazard_of_mortality(X6,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])]) ).
cnf(c_0_18,plain,
( ~ has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ greater(age(X1,X2),eta) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
greater(age(esk1_0,esk4_0),eta),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_20,plain,
! [X3,X4,X3,X4] :
( ( ~ smaller_or_equal(X3,X4)
| smaller(X3,X4)
| X3 = X4 )
& ( ~ smaller(X3,X4)
| smaller_or_equal(X3,X4) )
& ( X3 != X4
| smaller_or_equal(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])])])]) ).
fof(c_0_21,plain,
! [X3,X4,X3,X4] :
( ( ~ smaller(X3,X4)
| greater(X4,X3) )
& ( ~ greater(X4,X3)
| smaller(X3,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])])]) ).
cnf(c_0_22,negated_conjecture,
( has_immunity(esk1_0,esk4_0)
| hazard_of_mortality(esk1_0,esk3_0) != hazard_of_mortality(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16])]) ).
cnf(c_0_23,plain,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ has_immunity(X1,X3)
| ~ has_immunity(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
~ has_immunity(esk1_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_12])]) ).
cnf(c_0_25,negated_conjecture,
age(esk1_0,esk2_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( smaller(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( hazard_of_mortality(esk1_0,X1) != hazard_of_mortality(esk1_0,esk2_0)
| ~ has_immunity(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_16]),c_0_15])]),c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( has_immunity(esk1_0,esk2_0)
| ~ smaller_or_equal(zero,eta) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_25]),c_0_12])]) ).
cnf(c_0_30,plain,
( smaller_or_equal(X1,X2)
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
greater(eta,zero),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,negated_conjecture,
~ has_immunity(esk1_0,esk2_0),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT057+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 12:21:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.016 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 34
% 0.22/1.40 # Proof object clause steps : 21
% 0.22/1.40 # Proof object formula steps : 13
% 0.22/1.40 # Proof object conjectures : 17
% 0.22/1.40 # Proof object clause conjectures : 14
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 13
% 0.22/1.40 # Proof object initial formulas used : 6
% 0.22/1.40 # Proof object generating inferences : 8
% 0.22/1.40 # Proof object simplifying inferences : 17
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 10
% 0.22/1.40 # Removed by relevancy pruning/SinE : 1
% 0.22/1.40 # Initial clauses : 24
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 24
% 0.22/1.40 # Processed clauses : 42
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 2
% 0.22/1.40 # ...remaining for further processing : 39
% 0.22/1.40 # Other redundant clauses eliminated : 1
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 0
% 0.22/1.40 # Backward-rewritten : 0
% 0.22/1.40 # Generated clauses : 44
% 0.22/1.40 # ...of the previous two non-trivial : 38
% 0.22/1.40 # Contextual simplify-reflections : 0
% 0.22/1.40 # Paramodulations : 42
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 2
% 0.22/1.40 # Current number of processed clauses : 38
% 0.22/1.40 # Positive orientable unit clauses : 9
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 5
% 0.22/1.40 # Non-unit-clauses : 24
% 0.22/1.40 # Current number of unprocessed clauses: 20
% 0.22/1.40 # ...number of literals in the above : 81
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 0
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 122
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 81
% 0.22/1.40 # Non-unit clause-clause subsumptions : 1
% 0.22/1.40 # Unit Clause-clause subsumption calls : 14
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 5
% 0.22/1.40 # BW rewrite match successes : 0
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 1967
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.017 s
% 0.22/1.40 # System time : 0.001 s
% 0.22/1.40 # Total time : 0.018 s
% 0.22/1.40 # Maximum resident set size: 2968 pages
%------------------------------------------------------------------------------