%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 01:28:57 PM UTC 2026
% Result : Theorem 0.11s 0.43s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 77 ( 4 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 90 ( 39 ~; 28 |; 9 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(no_bad,conjecture,
! [X1] :
( dive(X1)
=> ! [X2] :
( outcome(X1,X2)
=> ~ bad(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_bad) ).
fof(dci_is_the_only_bad_outcome,axiom,
! [X1] :
( dive(X1)
=> ! [X2] :
( ( bad(X2)
& outcome(X1,X2) )
=> X2 = dci ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
fof(no_deep_long,axiom,
! [X1] :
( dive(X1)
=> ( ~ greater(time(X1),time_limit)
& ~ greater(depth(X1),depth_limit) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_deep_long) ).
fof(depth_and_time_and_nitrogen,axiom,
! [X1] :
( dive(X1)
=> ( ( greater(time(X1),time_limit)
| greater(depth(X1),depth_limit) )
<=> greater(nitrogen(X1),nitrogen_limit) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
fof(too_much_nitrogen,axiom,
! [X1] :
( dive(X1)
=> ( greater(nitrogen(X1),nitrogen_limit)
<=> outcome(X1,dci) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',too_much_nitrogen) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( dive(X1)
=> ! [X2] :
( outcome(X1,X2)
=> ~ bad(X2) ) ),
inference(assume_negation,[status(cth)],[no_bad]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( dive(X1)
=> ! [X2] :
( outcome(X1,X2)
=> ~ bad(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_7,plain,
! [X5,X6] :
( X6 = dci
| ~ bad(X6)
| ~ outcome(X5,X6)
| ~ dive(X5) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dci_is_the_only_bad_outcome])])])]) ).
fof(c_0_8,negated_conjecture,
( bad(esk2_0)
& outcome(esk1_0,esk2_0)
& dive(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X1] :
( dive(X1)
=> ( ~ greater(time(X1),time_limit)
& ~ greater(depth(X1),depth_limit) ) ),
inference(fof_simplification,[status(thm)],[no_deep_long]) ).
cnf(c_0_10,plain,
( ~ bad(X2)
| ~ outcome(X1,X2)
| ~ dive(X1)
| X2 = dci ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
outcome(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
bad(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
dive(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X8] :
( ( ~ dive(X8)
| greater(time(X8),time_limit)
| greater(depth(X8),depth_limit)
| ~ greater(nitrogen(X8),nitrogen_limit) )
& ( ~ dive(X8)
| greater(nitrogen(X8),nitrogen_limit)
| ~ greater(time(X8),time_limit) )
& ( ~ dive(X8)
| greater(nitrogen(X8),nitrogen_limit)
| ~ greater(depth(X8),depth_limit) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[depth_and_time_and_nitrogen])])])]) ).
fof(c_0_15,plain,
! [X9] :
( ( ~ dive(X9)
| ~ greater(time(X9),time_limit) )
& ( ~ dive(X9)
| ~ greater(depth(X9),depth_limit) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_16,plain,
! [X7] :
( ( ~ dive(X7)
| greater(nitrogen(X7),nitrogen_limit)
| ~ outcome(X7,dci) )
& ( ~ dive(X7)
| outcome(X7,dci)
| ~ greater(nitrogen(X7),nitrogen_limit) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[too_much_nitrogen])])])]) ).
cnf(c_0_17,negated_conjecture,
esk2_0 = dci,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_18,plain,
( ~ dive(X1)
| ~ greater(nitrogen(X1),nitrogen_limit)
| greater(time(X1),time_limit)
| greater(depth(X1),depth_limit) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( ~ dive(X1)
| ~ greater(time(X1),time_limit) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( ~ dive(X1)
| ~ greater(depth(X1),depth_limit) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( ~ dive(X1)
| ~ outcome(X1,dci)
| greater(nitrogen(X1),nitrogen_limit) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
outcome(esk1_0,dci),
inference(rw,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_23,plain,
( ~ dive(X1)
| ~ greater(nitrogen(X1),nitrogen_limit) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
greater(nitrogen(esk1_0),nitrogen_limit),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_13])]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:29:03 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43 % Version: 3.5.1
% 0.11/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.43 % Starting sh5l with 300s (1) cores
% 0.11/0.43 % sh5l with pid 1703982 completed with status 0
% 0.11/0.43 % Result found by sh5l
% 0.11/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.43 % Starting sh5l with 300s (1) cores
% 0.11/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.11/0.43 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.11/0.43 % Search class: FGHSF-FFSS21-SFFFFFNN
% 0.11/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.43 % SubtermCWHack with pid 1703983 completed with status 0
% 0.11/0.43 % Result found by SubtermCWHack
% 0.11/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.43 % Starting sh5l with 300s (1) cores
% 0.11/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.11/0.43 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.11/0.43 % Search class: FGHSF-FFSS21-SFFFFFNN
% 0.11/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.43 % Preprocessing time : 0.001 s
% 0.11/0.43
% 0.11/0.43 % Proof found!
% 0.11/0.43 % SZS status Theorem
% 0.11/0.43 % SZS output start CNFRefutation
% See solution above
% 0.11/0.44 % Parsed axioms : 7
% 0.11/0.44 % Removed by relevancy pruning/SinE : 0
% 0.11/0.44 % Initial clauses : 13
% 0.11/0.44 % Removed in clause preprocessing : 0
% 0.11/0.44 % Initial clauses in saturation : 13
% 0.11/0.44 % Processed clauses : 16
% 0.11/0.44 % ...of these trivial : 0
% 0.11/0.44 % ...subsumed : 2
% 0.11/0.44 % ...remaining for further processing : 14
% 0.11/0.44 % Other redundant clauses eliminated : 0
% 0.11/0.44 % Clauses deleted for lack of memory : 0
% 0.11/0.44 % Backward-subsumed : 1
% 0.11/0.44 % Backward-rewritten : 2
% 0.11/0.44 % Generated clauses : 4
% 0.11/0.44 % ...of the previous two non-redundant : 3
% 0.11/0.44 % ...aggressively subsumed : 0
% 0.11/0.44 % Contextual simplify-reflections : 2
% 0.11/0.44 % Paramodulations : 4
% 0.11/0.44 % Factorizations : 0
% 0.11/0.44 % NegExts : 0
% 0.11/0.44 % Equation resolutions : 0
% 0.11/0.44 % Disequality decompositions : 0
% 0.11/0.44 % Total rewrite steps : 7
% 0.11/0.44 % ...of those cached : 3
% 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 : 11
% 0.11/0.44 % Positive orientable unit clauses : 5
% 0.11/0.44 % Positive unorientable unit clauses: 0
% 0.11/0.44 % Negative unit clauses : 0
% 0.11/0.44 % Non-unit-clauses : 6
% 0.11/0.44 % Current number of unprocessed clauses: 0
% 0.11/0.44 % ...number of literals in the above : 0
% 0.11/0.44 % Current number of archived formulas : 0
% 0.11/0.44 % Current number of archived clauses : 3
% 0.11/0.44 % Clause-clause subsumption calls (NU) : 14
% 0.11/0.44 % Rec. Clause-clause subsumption calls : 10
% 0.11/0.44 % Non-unit clause-clause subsumptions : 5
% 0.11/0.44 % Unit Clause-clause subsumption calls : 0
% 0.11/0.44 % Rewrite failures with RHS unbound : 0
% 0.11/0.44 % BW rewrite match attempts : 1
% 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 : 916
% 0.11/0.44 % Search garbage collected termcells : 150
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.002 s
% 0.11/0.44 % System time : 0.003 s
% 0.11/0.44 % Total time : 0.005 s
% 0.11/0.44 % Maximum resident set size: 3632 pages
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.003 s
% 0.11/0.44 % System time : 0.008 s
% 0.11/0.44 % Total time : 0.011 s
% 0.11/0.44 % Maximum resident set size: 4608 pages
% 0.11/0.44 % E exiting
%------------------------------------------------------------------------------