%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV678+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 02:35:25 PM UTC 2026
% Result : Theorem 0.40s 0.72s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 32 ( 11 ~; 10 |; 4 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
( ! [X70] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X70)
=> cUseAuto_2eP___24a1(X70) )
=> p(cUseAuto_2emyFact) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('$_def_UseAuto.myFact',axiom,
( p(cUseAuto_2emyFact)
<=> ! [X70] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X70)
=> ( cCoq_2eInit_2ePeano_2ele___24a2(X70,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))
=> cUseAuto_2eP___24a1(X70) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_UseAuto.myFact') ).
fof(c_0_2,negated_conjecture,
~ ( ! [X70] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X70)
=> cUseAuto_2eP___24a1(X70) )
=> p(cUseAuto_2emyFact) ),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_3,plain,
! [X2848] :
( ( p(cUseAuto_2emyFact)
| ~ cUseAuto_2eP___24a1(esk1_0) )
& ( p(cUseAuto_2emyFact)
| cCoq_2eInit_2ePeano_2ele___24a2(esk1_0,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))) )
& ( p(cUseAuto_2emyFact)
| cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0) )
& ( cUseAuto_2eP___24a1(X2848)
| ~ cCoq_2eInit_2ePeano_2ele___24a2(X2848,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2848)
| ~ p(cUseAuto_2emyFact) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$_def_UseAuto.myFact'])])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X2847] :
( ~ p(cUseAuto_2emyFact)
& ( cUseAuto_2eP___24a1(X2847)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2847) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
cnf(c_0_5,plain,
( ~ cUseAuto_2eP___24a1(esk1_0)
| p(cUseAuto_2emyFact) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ p(cUseAuto_2emyFact),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( p(cUseAuto_2emyFact)
| cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,plain,
~ cUseAuto_2eP___24a1(esk1_0),
inference(sr,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1)
| cUseAuto_2eP___24a1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0),
inference(sr,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV678+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:40:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.40/0.72 % Version: 3.5.1
% 0.40/0.72 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.40/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.72 % Starting new_bool_3 with 900s (3) cores
% 0.40/0.72 % Starting new_bool_1 with 900s (3) cores
% 0.40/0.72 % Starting sh5l with 300s (1) cores
% 0.40/0.72 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.40/0.72 % new_bool_3 with pid 1918535 completed with status 0
% 0.40/0.72 % Result found by new_bool_3
% 0.40/0.72 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.40/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.72 % Starting new_bool_3 with 900s (3) cores
% 0.40/0.72 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.40/0.72 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.40/0.72 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.40/0.72 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.40/0.72 % Starting SubtermCWHack with 82s (1) cores
% 0.40/0.72 % Starting new_bool_3 with 91s (1) cores
% 0.40/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 82s (1) cores
% 0.40/0.72 % SubtermCWHack with pid 1918539 completed with status 0
% 0.40/0.72 % Result found by SubtermCWHack
% 0.40/0.72 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.40/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.72 % Starting new_bool_3 with 900s (3) cores
% 0.40/0.72 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.40/0.72 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.40/0.72 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.40/0.72 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.40/0.72 % Starting SubtermCWHack with 82s (1) cores
% 0.40/0.72 % Preprocessing time : 0.010 s
% 0.40/0.72
% 0.40/0.72 % Proof found!
% 0.40/0.72 % SZS status Theorem
% 0.40/0.72 % SZS output start CNFRefutation
% See solution above
% 0.40/0.72 % Parsed axioms : 2925
% 0.40/0.72 % Removed by relevancy pruning/SinE : 2803
% 0.40/0.72 % Initial clauses : 216
% 0.40/0.72 % Removed in clause preprocessing : 43
% 0.40/0.72 % Initial clauses in saturation : 173
% 0.40/0.72 % Processed clauses : 10
% 0.40/0.72 % ...of these trivial : 0
% 0.40/0.72 % ...subsumed : 0
% 0.40/0.72 % ...remaining for further processing : 10
% 0.40/0.72 % Other redundant clauses eliminated : 0
% 0.40/0.72 % Clauses deleted for lack of memory : 0
% 0.40/0.72 % Backward-subsumed : 0
% 0.40/0.72 % Backward-rewritten : 0
% 0.40/0.72 % Generated clauses : 1
% 0.40/0.72 % ...of the previous two non-redundant : 0
% 0.40/0.72 % ...aggressively subsumed : 0
% 0.40/0.72 % Contextual simplify-reflections : 0
% 0.40/0.72 % Paramodulations : 1
% 0.40/0.72 % Factorizations : 0
% 0.40/0.72 % NegExts : 0
% 0.40/0.72 % Equation resolutions : 0
% 0.40/0.72 % Disequality decompositions : 0
% 0.40/0.72 % Total rewrite steps : 1
% 0.40/0.72 % ...of those cached : 0
% 0.40/0.72 % Propositional unsat checks : 0
% 0.40/0.72 % Propositional check models : 0
% 0.40/0.72 % Propositional check unsatisfiable : 0
% 0.40/0.72 % Propositional clauses : 0
% 0.40/0.72 % Propositional clauses after purity: 0
% 0.40/0.72 % Propositional unsat core size : 0
% 0.40/0.72 % Propositional preprocessing time : 0.000
% 0.40/0.72 % Propositional encoding time : 0.000
% 0.40/0.72 % Propositional solver time : 0.000
% 0.40/0.72 % Success case prop preproc time : 0.000
% 0.40/0.72 % Success case prop encoding time : 0.000
% 0.40/0.72 % Success case prop solver time : 0.000
% 0.40/0.72 % Current number of processed clauses : 10
% 0.40/0.72 % Positive orientable unit clauses : 5
% 0.40/0.72 % Positive unorientable unit clauses: 0
% 0.40/0.72 % Negative unit clauses : 4
% 0.40/0.72 % Non-unit-clauses : 1
% 0.40/0.72 % Current number of unprocessed clauses: 163
% 0.40/0.72 % ...number of literals in the above : 723
% 0.40/0.72 % Current number of archived formulas : 0
% 0.40/0.72 % Current number of archived clauses : 0
% 0.40/0.72 % Clause-clause subsumption calls (NU) : 0
% 0.40/0.72 % Rec. Clause-clause subsumption calls : 0
% 0.40/0.72 % Non-unit clause-clause subsumptions : 0
% 0.40/0.72 % Unit Clause-clause subsumption calls : 1
% 0.40/0.72 % Rewrite failures with RHS unbound : 0
% 0.40/0.72 % BW rewrite match attempts : 0
% 0.40/0.72 % BW rewrite match successes : 0
% 0.40/0.72 % Condensation attempts : 0
% 0.40/0.72 % Condensation successes : 0
% 0.40/0.72 % Termbank termtop insertions : 91155
% 0.40/0.72 % Search garbage collected termcells : 38145
% 0.40/0.72
% 0.40/0.72 % -------------------------------------------------
% 0.40/0.72 % User time : 0.021 s
% 0.40/0.72 % System time : 0.023 s
% 0.40/0.72 % Total time : 0.044 s
% 0.40/0.72 % Maximum resident set size: 15092 pages
% 0.40/0.72
% 0.40/0.72 % -------------------------------------------------
% 0.40/0.72 % User time : 0.264 s
% 0.40/0.72 % System time : 0.047 s
% 0.40/0.72 % Total time : 0.311 s
% 0.40/0.72 % Maximum resident set size: 11776 pages
% 0.40/0.72 % E exiting
%------------------------------------------------------------------------------