%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : MGT057+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:28:04 PM UTC 2026
% Result : Theorem 0.16s 0.64s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 11 unt; 0 def)
% Number of atoms : 138 ( 17 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 152 ( 52 ~; 50 |; 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 : 58 ( 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',assumption_3) ).
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/sandbox/benchmark/theBenchmark.p',assumption_2) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( X1 = X2
| smaller(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,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,
! [X21,X22,X23,X24] :
( ( has_endowment(X24)
| ~ organization(X24)
| ~ has_immunity(X24,esk1_1(X24))
| has_immunity(X24,esk2_1(X24)) )
& ( has_endowment(X24)
| ~ organization(X24)
| ~ has_immunity(X24,esk1_1(X24))
| greater(age(X24,esk2_1(X24)),eta) )
& ( has_endowment(X24)
| ~ organization(X24)
| smaller_or_equal(age(X24,esk1_1(X24)),eta)
| has_immunity(X24,esk2_1(X24)) )
& ( has_endowment(X24)
| ~ organization(X24)
| smaller_or_equal(age(X24,esk1_1(X24)),eta)
| greater(age(X24,esk2_1(X24)),eta) )
& ( ~ has_endowment(X21)
| ~ has_immunity(X21,X23)
| ~ greater(age(X21,X23),eta) )
& ( ~ has_endowment(X21)
| has_immunity(X21,X22)
| ~ smaller_or_equal(age(X21,X22),eta) )
& ( ~ has_endowment(X21)
| organization(X21) ) ),
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_9,negated_conjecture,
( ( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
| ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) )
& greater(eta,zero)
& greater(age(esk3_0,esk6_0),eta)
& smaller_or_equal(age(esk3_0,esk5_0),eta)
& age(esk3_0,esk4_0) = zero
& has_endowment(esk3_0)
& organization(esk3_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_10,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_11,plain,
! [X27,X28,X29] :
( hazard_of_mortality(X27,X28) = hazard_of_mortality(X27,X29)
| ~ has_immunity(X27,X29)
| ~ has_immunity(X27,X28)
| ~ organization(X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])])]) ).
cnf(c_0_12,plain,
( ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta)
| has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),eta),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
has_endowment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,plain,
! [X30,X31,X32] :
( greater(hazard_of_mortality(X30,X32),hazard_of_mortality(X30,X31))
| has_immunity(X30,X32)
| ~ has_immunity(X30,X31)
| ~ organization(X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_16,plain,
! [X8,X9] :
( ( smaller_or_equal(X8,X9)
| X8 != X9 )
& ( smaller_or_equal(X8,X9)
| ~ smaller(X8,X9) )
& ( X8 = X9
| smaller(X8,X9)
| ~ smaller_or_equal(X8,X9) ) ),
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_17,plain,
! [X12,X13] :
( ( smaller(X12,X13)
| ~ greater(X13,X12) )
& ( greater(X13,X12)
| ~ smaller(X12,X13) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])])]) ).
cnf(c_0_18,negated_conjecture,
( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
| ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,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_11]) ).
cnf(c_0_20,negated_conjecture,
has_immunity(esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_21,negated_conjecture,
organization(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,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_15]) ).
cnf(c_0_23,plain,
( ~ has_endowment(X1)
| ~ has_immunity(X1,X2)
| ~ greater(age(X1,X2),eta) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
greater(age(esk3_0,esk6_0),eta),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
age(esk3_0,esk4_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,plain,
( ~ smaller(X1,X2)
| smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
( ~ greater(X1,X2)
| smaller(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,X1))
| ~ has_immunity(esk3_0,X1)
| hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_29,negated_conjecture,
( greater(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_22,c_0_20]),c_0_21])]) ).
cnf(c_0_30,negated_conjecture,
~ has_immunity(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_14])]) ).
cnf(c_0_31,negated_conjecture,
( ~ smaller_or_equal(zero,eta)
| has_immunity(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_25]),c_0_14])]) ).
cnf(c_0_32,plain,
( ~ greater(X2,X1)
| smaller_or_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
greater(eta,zero),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_34,negated_conjecture,
hazard_of_mortality(esk3_0,esk4_0) != hazard_of_mortality(esk3_0,esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_20])]),c_0_30]) ).
cnf(c_0_35,negated_conjecture,
has_immunity(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_36,negated_conjecture,
( ~ has_immunity(esk3_0,X1)
| hazard_of_mortality(esk3_0,X1) != hazard_of_mortality(esk3_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_19]),c_0_35]),c_0_21])]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_36]),c_0_20])]),
[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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.57 % Computer : n001.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Mon Sep 21 01:29:29 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.62 Running first-order theorem proving
% 0.16/0.62 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.16/0.64 % Version: 3.5.1
% 0.16/0.64 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.64 % Starting sh5l with 300s (1) cores
% 0.16/0.64 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1911851 completed with status 0
% 0.16/0.64 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.64 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.64 % No SInE strategy applied
% 0.16/0.64 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.16/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.16/0.64 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.16/0.64 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.16/0.64 % G-E--_208_C18_F1_AE_CS_SP_PS_S3S with pid 1911858 completed with status 0
% 0.16/0.64 % Result found by G-E--_208_C18_F1_AE_CS_SP_PS_S3S
% 0.16/0.64 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.64 % No SInE strategy applied
% 0.16/0.64 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.16/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.16/0.64 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.16/0.64 % Preprocessing time : 0.002 s
% 0.16/0.64 % Presaturation interreduction done
% 0.16/0.64
% 0.16/0.64 % Proof found!
% 0.16/0.64 % SZS status Theorem
% 0.16/0.64 % SZS output start CNFRefutation
% See solution above
% 0.16/0.64 % Parsed axioms : 10
% 0.16/0.64 % Removed by relevancy pruning/SinE : 0
% 0.16/0.64 % Initial clauses : 27
% 0.16/0.64 % Removed in clause preprocessing : 0
% 0.16/0.64 % Initial clauses in saturation : 27
% 0.16/0.64 % Processed clauses : 91
% 0.16/0.64 % ...of these trivial : 0
% 0.16/0.64 % ...subsumed : 10
% 0.16/0.64 % ...remaining for further processing : 81
% 0.16/0.64 % Other redundant clauses eliminated : 2
% 0.16/0.64 % Clauses deleted for lack of memory : 0
% 0.16/0.64 % Backward-subsumed : 1
% 0.16/0.64 % Backward-rewritten : 1
% 0.16/0.64 % Generated clauses : 67
% 0.16/0.64 % ...of the previous two non-redundant : 53
% 0.16/0.64 % ...aggressively subsumed : 0
% 0.16/0.64 % Contextual simplify-reflections : 0
% 0.16/0.64 % Paramodulations : 64
% 0.16/0.64 % Factorizations : 0
% 0.16/0.64 % NegExts : 0
% 0.16/0.64 % Equation resolutions : 3
% 0.16/0.64 % Disequality decompositions : 0
% 0.16/0.64 % Total rewrite steps : 36
% 0.16/0.64 % ...of those cached : 30
% 0.16/0.64 % Propositional unsat checks : 0
% 0.16/0.64 % Propositional check models : 0
% 0.16/0.64 % Propositional check unsatisfiable : 0
% 0.16/0.64 % Propositional clauses : 0
% 0.16/0.64 % Propositional clauses after purity: 0
% 0.16/0.64 % Propositional unsat core size : 0
% 0.16/0.64 % Propositional preprocessing time : 0.000
% 0.16/0.64 % Propositional encoding time : 0.000
% 0.16/0.64 % Propositional solver time : 0.000
% 0.16/0.64 % Success case prop preproc time : 0.000
% 0.16/0.64 % Success case prop encoding time : 0.000
% 0.16/0.64 % Success case prop solver time : 0.000
% 0.16/0.64 % Current number of processed clauses : 50
% 0.16/0.64 % Positive orientable unit clauses : 10
% 0.16/0.64 % Positive unorientable unit clauses: 0
% 0.16/0.64 % Negative unit clauses : 4
% 0.16/0.64 % Non-unit-clauses : 36
% 0.16/0.64 % Current number of unprocessed clauses: 15
% 0.16/0.64 % ...number of literals in the above : 55
% 0.16/0.64 % Current number of archived formulas : 0
% 0.16/0.64 % Current number of archived clauses : 29
% 0.16/0.64 % Clause-clause subsumption calls (NU) : 465
% 0.16/0.64 % Rec. Clause-clause subsumption calls : 334
% 0.16/0.64 % Non-unit clause-clause subsumptions : 4
% 0.16/0.64 % Unit Clause-clause subsumption calls : 10
% 0.16/0.64 % Rewrite failures with RHS unbound : 0
% 0.16/0.64 % BW rewrite match attempts : 3
% 0.16/0.64 % BW rewrite match successes : 1
% 0.16/0.64 % Condensation attempts : 0
% 0.16/0.64 % Condensation successes : 0
% 0.16/0.64 % Termbank termtop insertions : 2839
% 0.16/0.64 % Search garbage collected termcells : 411
% 0.16/0.64
% 0.16/0.64 % -------------------------------------------------
% 0.16/0.64 % User time : 0.010 s
% 0.16/0.64 % System time : 0.001 s
% 0.16/0.64 % Total time : 0.011 s
% 0.16/0.64 % Maximum resident set size: 3644 pages
% 0.16/0.64
% 0.16/0.64 % -------------------------------------------------
% 0.16/0.64 % User time : 0.036 s
% 0.16/0.64 % System time : 0.014 s
% 0.16/0.64 % Total time : 0.050 s
% 0.16/0.64 % Maximum resident set size: 4864 pages
% 0.16/0.64 % E exiting
%------------------------------------------------------------------------------