%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM605+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:49:44 PM UTC 2026
% Result : Theorem 0.90s 0.67s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 40 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 39 ( 17 ~; 7 |; 12 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
~ ( xQ = slcrc0
& ~ ? [X1] : aElementOf0(X1,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__5078,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) )
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(m__3462,hypothesis,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(c_0_4,negated_conjecture,
~ ~ ( xQ = slcrc0
& ~ ? [X1] : aElementOf0(X1,xQ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,hypothesis,
! [X85] :
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ( aElementOf0(X85,xO)
| ~ aElementOf0(X85,xQ) )
& aSet0(xQ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5078])])])]) ).
fof(c_0_6,negated_conjecture,
! [X86] :
( xQ = slcrc0
& ~ aElementOf0(X86,xQ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,hypothesis,
xK != sz00,
inference(fof_simplification,[status(thm)],[m__3462]) ).
fof(c_0_8,plain,
! [X163] :
( ( ~ aSet0(X163)
| sbrdtbr0(X163) = sz00
| X163 != slcrc0 )
& ( ~ aSet0(X163)
| X163 = slcrc0
| sbrdtbr0(X163) != sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])])]) ).
cnf(c_0_9,hypothesis,
sbrdtbr0(xQ) = xK,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
xQ = slcrc0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_12,hypothesis,
xK != sz00,
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( ~ aSet0(X1)
| X1 != slcrc0
| sbrdtbr0(X1) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,hypothesis,
sbrdtbr0(slcrc0) = xK,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,hypothesis,
aSet0(slcrc0),
inference(rw,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_16,hypothesis,
xK != sz00,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_13]),c_0_14]),c_0_15])]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM605+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 02:44:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.90/0.67 % Version: 3.5.1
% 0.90/0.67 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.90/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.67 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.90/0.67 % Starting new_bool_3 with 300s (1) cores
% 0.90/0.67 % Starting new_bool_1 with 300s (1) cores
% 0.90/0.67 % Starting sh5l with 300s (1) cores
% 0.90/0.67 % new_bool_1 with pid 1835958 completed with status 0
% 0.90/0.67 % Result found by new_bool_1
% 0.90/0.67 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.90/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.67 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.90/0.67 % Starting new_bool_3 with 300s (1) cores
% 0.90/0.67 % Starting new_bool_1 with 300s (1) cores
% 0.90/0.67 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.90/0.67 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.90/0.67 % Search class: FGHSF-SMLM32-MFFFFFNN
% 0.90/0.67 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.90/0.67 % Starting SubtermCWHack with 28s (1) cores
% 0.90/0.67 % SubtermCWHack with pid 1835963 completed with status 0
% 0.90/0.67 % Result found by SubtermCWHack
% 0.90/0.67 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.90/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.67 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.90/0.67 % Starting new_bool_3 with 300s (1) cores
% 0.90/0.67 % Starting new_bool_1 with 300s (1) cores
% 0.90/0.67 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.90/0.67 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.90/0.67 % Search class: FGHSF-SMLM32-MFFFFFNN
% 0.90/0.67 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.90/0.67 % Starting SubtermCWHack with 28s (1) cores
% 0.90/0.67 % Preprocessing time : 0.095 s
% 0.90/0.67
% 0.90/0.67 % Proof found!
% 0.90/0.67 % SZS status Theorem
% 0.90/0.67 % SZS output start CNFRefutation
% See solution above
% 0.90/0.67 % Parsed axioms : 100
% 0.90/0.67 % Removed by relevancy pruning/SinE : 9
% 0.90/0.67 % Initial clauses : 4857
% 0.90/0.67 % Removed in clause preprocessing : 7
% 0.90/0.67 % Initial clauses in saturation : 4850
% 0.90/0.67 % Processed clauses : 55
% 0.90/0.67 % ...of these trivial : 2
% 0.90/0.67 % ...subsumed : 1
% 0.90/0.67 % ...remaining for further processing : 52
% 0.90/0.67 % Other redundant clauses eliminated : 2
% 0.90/0.67 % Clauses deleted for lack of memory : 0
% 0.90/0.67 % Backward-subsumed : 0
% 0.90/0.67 % Backward-rewritten : 1
% 0.90/0.67 % Generated clauses : 10
% 0.90/0.67 % ...of the previous two non-redundant : 5
% 0.90/0.67 % ...aggressively subsumed : 0
% 0.90/0.67 % Contextual simplify-reflections : 0
% 0.90/0.67 % Paramodulations : 8
% 0.90/0.67 % Factorizations : 0
% 0.90/0.67 % NegExts : 0
% 0.90/0.67 % Equation resolutions : 2
% 0.90/0.67 % Disequality decompositions : 0
% 0.90/0.67 % Total rewrite steps : 22
% 0.90/0.67 % ...of those cached : 11
% 0.90/0.67 % Propositional unsat checks : 0
% 0.90/0.67 % Propositional check models : 0
% 0.90/0.67 % Propositional check unsatisfiable : 0
% 0.90/0.67 % Propositional clauses : 0
% 0.90/0.67 % Propositional clauses after purity: 0
% 0.90/0.67 % Propositional unsat core size : 0
% 0.90/0.67 % Propositional preprocessing time : 0.000
% 0.90/0.67 % Propositional encoding time : 0.000
% 0.90/0.67 % Propositional solver time : 0.000
% 0.90/0.67 % Success case prop preproc time : 0.000
% 0.90/0.67 % Success case prop encoding time : 0.000
% 0.90/0.67 % Success case prop solver time : 0.000
% 0.90/0.67 % Current number of processed clauses : 49
% 0.90/0.67 % Positive orientable unit clauses : 37
% 0.90/0.67 % Positive unorientable unit clauses: 0
% 0.90/0.67 % Negative unit clauses : 2
% 0.90/0.67 % Non-unit-clauses : 10
% 0.90/0.67 % Current number of unprocessed clauses: 4800
% 0.90/0.67 % ...number of literals in the above : 55804
% 0.90/0.67 % Current number of archived formulas : 0
% 0.90/0.67 % Current number of archived clauses : 1
% 0.90/0.67 % Clause-clause subsumption calls (NU) : 18
% 0.90/0.67 % Rec. Clause-clause subsumption calls : 18
% 0.90/0.67 % Non-unit clause-clause subsumptions : 0
% 0.90/0.67 % Unit Clause-clause subsumption calls : 26
% 0.90/0.67 % Rewrite failures with RHS unbound : 0
% 0.90/0.67 % BW rewrite match attempts : 1
% 0.90/0.67 % BW rewrite match successes : 1
% 0.90/0.67 % Condensation attempts : 0
% 0.90/0.67 % Condensation successes : 0
% 0.90/0.67 % Termbank termtop insertions : 379789
% 0.90/0.67 % Search garbage collected termcells : 31357
% 0.90/0.67
% 0.90/0.67 % -------------------------------------------------
% 0.90/0.67 % User time : 0.217 s
% 0.90/0.67 % System time : 0.020 s
% 0.90/0.67 % Total time : 0.237 s
% 0.90/0.67 % Maximum resident set size: 15792 pages
% 0.90/0.67
% 0.90/0.67 % -------------------------------------------------
% 0.90/0.67 % User time : 0.227 s
% 0.90/0.67 % System time : 0.025 s
% 0.90/0.67 % Total time : 0.252 s
% 0.90/0.67 % Maximum resident set size: 5120 pages
% 0.90/0.67 % E exiting
%------------------------------------------------------------------------------