%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT057+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:26:56 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 133 ( 16 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 146 ( 49 ~; 47 |; 37 &)
% ( 4 <=>; 9 =>; 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 : 56 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_1,axiom,
! [X1] :
( has_endowment(X1)
<=> ! [X4] :
( ( greater(age(X1,X4),eta)
=> ~ has_immunity(X1,X4) )
& ( smaller_or_equal(age(X1,X4),eta)
=> has_immunity(X1,X4) )
& organization(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).
fof(theorem_6,conjecture,
! [X1,X5,X6,X7] :
( ( greater(eta,zero)
& greater(age(X1,X7),eta)
& smaller_or_equal(age(X1,X6),eta)
& age(X1,X5) = zero
& has_endowment(X1)
& organization(X1) )
=> ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
& greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6) ).
fof(assumption_3,axiom,
! [X1,X5,X4] :
( ( ~ has_immunity(X1,X4)
& has_immunity(X1,X5)
& organization(X1) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( X1 = X2
| smaller(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(assumption_2,axiom,
! [X1,X5,X4] :
( ( has_immunity(X1,X4)
& has_immunity(X1,X5)
& organization(X1) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
fof(c_0_6,plain,
! [X1] :
( has_endowment(X1)
<=> ! [X4] :
( ( greater(age(X1,X4),eta)
=> ~ has_immunity(X1,X4) )
& ( smaller_or_equal(age(X1,X4),eta)
=> has_immunity(X1,X4) )
& organization(X1) ) ),
inference(fof_simplification,[status(thm)],[definition_1]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( greater(eta,zero)
& greater(age(X1,X7),eta)
& smaller_or_equal(age(X1,X6),eta)
& age(X1,X5) = zero
& has_endowment(X1)
& organization(X1) )
=> ( hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5)
& greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ) ),
inference(assume_negation,[status(cth)],[theorem_6]) ).
fof(c_0_8,plain,
! [X1,X5,X4] :
( ( ~ has_immunity(X1,X4)
& has_immunity(X1,X5)
& organization(X1) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
inference(fof_simplification,[status(thm)],[assumption_3]) ).
fof(c_0_9,plain,
! [X23,X24,X25,X26] :
( ( has_endowment(X26)
| ~ organization(X26)
| ~ has_immunity(X26,esk5_1(X26))
| has_immunity(X26,esk6_1(X26)) )
& ( has_endowment(X26)
| ~ organization(X26)
| ~ has_immunity(X26,esk5_1(X26))
| greater(age(X26,esk6_1(X26)),eta) )
& ( has_endowment(X26)
| ~ organization(X26)
| smaller_or_equal(age(X26,esk5_1(X26)),eta)
| has_immunity(X26,esk6_1(X26)) )
& ( has_endowment(X26)
| ~ organization(X26)
| smaller_or_equal(age(X26,esk5_1(X26)),eta)
| greater(age(X26,esk6_1(X26)),eta) )
& ( ~ has_endowment(X23)
| ~ has_immunity(X23,X25)
| ~ greater(age(X23,X25),eta) )
& ( ~ has_endowment(X23)
| has_immunity(X23,X24)
| ~ smaller_or_equal(age(X23,X24),eta) )
& ( ~ has_endowment(X23)
| organization(X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])]) ).
fof(c_0_10,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)) )
& greater(eta,zero)
& greater(age(esk1_0,esk4_0),eta)
& smaller_or_equal(age(esk1_0,esk3_0),eta)
& age(esk1_0,esk2_0) = zero
& has_endowment(esk1_0)
& organization(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_11,plain,
! [X29,X30] :
( ( smaller_or_equal(X29,X30)
| X29 != X30 )
& ( smaller_or_equal(X29,X30)
| ~ smaller(X29,X30) )
& ( X29 = X30
| smaller(X29,X30)
| ~ smaller_or_equal(X29,X30) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])])]) ).
fof(c_0_12,plain,
! [X31,X32] :
( ( smaller(X31,X32)
| ~ greater(X32,X31) )
& ( greater(X32,X31)
| ~ smaller(X31,X32) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])]) ).
fof(c_0_13,plain,
! [X15,X16,X17] :
( greater(hazard_of_mortality(X15,X17),hazard_of_mortality(X15,X16))
| has_immunity(X15,X17)
| ~ has_immunity(X15,X16)
| ~ organization(X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_14,plain,
( ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta)
| has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
smaller_or_equal(age(esk1_0,esk3_0),eta),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
has_endowment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( ~ has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ greater(age(X1,X2),eta) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,negated_conjecture,
greater(age(esk1_0,esk4_0),eta),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,negated_conjecture,
age(esk1_0,esk2_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( ~ smaller(X1,X2)
| smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( ~ greater(X1,X2)
| smaller(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,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_10]) ).
cnf(c_0_23,plain,
( ~ has_immunity(X1,X2)
| ~ organization(X1)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| has_immunity(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,negated_conjecture,
has_immunity(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_25,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
~ has_immunity(esk1_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_16])]) ).
fof(c_0_27,plain,
! [X12,X13,X14] :
( hazard_of_mortality(X12,X13) = hazard_of_mortality(X12,X14)
| ~ has_immunity(X12,X14)
| ~ has_immunity(X12,X13)
| ~ organization(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])])]) ).
cnf(c_0_28,negated_conjecture,
( ~ smaller_or_equal(zero,eta)
| has_immunity(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_19]),c_0_16])]) ).
cnf(c_0_29,plain,
( ~ greater(X2,X1)
| smaller_or_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,negated_conjecture,
greater(eta,zero),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,negated_conjecture,
hazard_of_mortality(esk1_0,esk2_0) != hazard_of_mortality(esk1_0,esk3_0),
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_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_32,plain,
( ~ has_immunity(X1,X3)
| ~ has_immunity(X1,X2)
| ~ organization(X1)
| hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
has_immunity(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_34,negated_conjecture,
( ~ has_immunity(esk1_0,X1)
| hazard_of_mortality(esk1_0,X1) != hazard_of_mortality(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_25])]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_34]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT057+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 01:25:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44 % Version: 3.5.1
% 0.11/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44 % Starting sh5l with 300s (1) cores
% 0.11/0.44 % new_bool_3 with pid 3097756 completed with status 0
% 0.11/0.44 % Result found by new_bool_3
% 0.11/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.44 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.11/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.44 % SubtermCWHack with pid 3097763 completed with status 0
% 0.11/0.44 % Result found by SubtermCWHack
% 0.11/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.44 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.11/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.44 % Preprocessing time : 0.001 s
% 0.11/0.44
% 0.11/0.44 % Proof found!
% 0.11/0.44 % SZS status Theorem
% 0.11/0.44 % SZS output start CNFRefutation
% See solution above
% 0.11/0.44 % Parsed axioms : 10
% 0.11/0.44 % Removed by relevancy pruning/SinE : 1
% 0.11/0.44 % Initial clauses : 24
% 0.11/0.44 % Removed in clause preprocessing : 0
% 0.11/0.44 % Initial clauses in saturation : 24
% 0.11/0.44 % Processed clauses : 85
% 0.11/0.44 % ...of these trivial : 0
% 0.11/0.44 % ...subsumed : 24
% 0.11/0.44 % ...remaining for further processing : 61
% 0.11/0.44 % Other redundant clauses eliminated : 1
% 0.11/0.44 % Clauses deleted for lack of memory : 0
% 0.11/0.44 % Backward-subsumed : 1
% 0.11/0.44 % Backward-rewritten : 1
% 0.11/0.44 % Generated clauses : 171
% 0.11/0.44 % ...of the previous two non-redundant : 131
% 0.11/0.44 % ...aggressively subsumed : 0
% 0.11/0.44 % Contextual simplify-reflections : 0
% 0.11/0.44 % Paramodulations : 167
% 0.11/0.44 % Factorizations : 2
% 0.11/0.44 % NegExts : 0
% 0.11/0.44 % Equation resolutions : 2
% 0.11/0.44 % Disequality decompositions : 0
% 0.11/0.44 % Total rewrite steps : 50
% 0.11/0.44 % ...of those cached : 44
% 0.11/0.44 % Propositional unsat checks : 0
% 0.11/0.44 % Propositional check models : 0
% 0.11/0.44 % Propositional check unsatisfiable : 0
% 0.11/0.44 % Propositional clauses : 0
% 0.11/0.44 % Propositional clauses after purity: 0
% 0.11/0.44 % Propositional unsat core size : 0
% 0.11/0.44 % Propositional preprocessing time : 0.000
% 0.11/0.44 % Propositional encoding time : 0.000
% 0.11/0.44 % Propositional solver time : 0.000
% 0.11/0.44 % Success case prop preproc time : 0.000
% 0.11/0.44 % Success case prop encoding time : 0.000
% 0.11/0.44 % Success case prop solver time : 0.000
% 0.11/0.44 % Current number of processed clauses : 58
% 0.11/0.44 % Positive orientable unit clauses : 9
% 0.11/0.44 % Positive unorientable unit clauses: 0
% 0.11/0.44 % Negative unit clauses : 4
% 0.11/0.44 % Non-unit-clauses : 45
% 0.11/0.44 % Current number of unprocessed clauses: 69
% 0.11/0.44 % ...number of literals in the above : 317
% 0.11/0.44 % Current number of archived formulas : 0
% 0.11/0.44 % Current number of archived clauses : 2
% 0.11/0.44 % Clause-clause subsumption calls (NU) : 742
% 0.11/0.44 % Rec. Clause-clause subsumption calls : 569
% 0.11/0.44 % Non-unit clause-clause subsumptions : 19
% 0.11/0.44 % Unit Clause-clause subsumption calls : 3
% 0.11/0.44 % Rewrite failures with RHS unbound : 0
% 0.11/0.44 % BW rewrite match attempts : 2
% 0.11/0.44 % BW rewrite match successes : 1
% 0.11/0.44 % Condensation attempts : 0
% 0.11/0.44 % Condensation successes : 0
% 0.11/0.44 % Termbank termtop insertions : 3776
% 0.11/0.44 % Search garbage collected termcells : 384
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.007 s
% 0.11/0.44 % System time : 0.006 s
% 0.11/0.44 % Total time : 0.013 s
% 0.11/0.44 % Maximum resident set size: 3592 pages
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.010 s
% 0.11/0.44 % System time : 0.010 s
% 0.11/0.44 % Total time : 0.020 s
% 0.11/0.44 % Maximum resident set size: 4864 pages
% 0.11/0.44 % E exiting
%------------------------------------------------------------------------------