%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM565+3 : 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 : n004.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 01:49:35 PM UTC 2026
% Result : Theorem 1.20s 0.92s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 50 ( 22 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 50 ( 15 ~; 9 |; 18 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,sz00))
& sbrdtbr0(X1) = sz00
& aSubsetOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) )
=> ( ( ~ ? [X2] : aElementOf0(X2,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(m__3462,hypothesis,
xK = sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(xS,sz00))
& sbrdtbr0(X1) = sz00
& aSubsetOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) )
=> ( ( ~ ? [X2] : aElementOf0(X2,slcrc0)
& aSet0(slcrc0) )
=> sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,plain,
! [X101] :
( ( ~ aSet0(X101)
| sbrdtbr0(X101) = sz00
| X101 != slcrc0 )
& ( ~ aSet0(X101)
| X101 = slcrc0
| sbrdtbr0(X101) != sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])])]) ).
fof(c_0_5,negated_conjecture,
! [X39,X40] :
( sdtlpdtrp0(xc,esk12_0) != sdtlpdtrp0(xc,slcrc0)
& ~ aElementOf0(X40,slcrc0)
& aSet0(slcrc0)
& aElementOf0(esk12_0,slbdtsldtrb0(xS,sz00))
& sbrdtbr0(esk12_0) = sz00
& aSubsetOf0(esk12_0,xS)
& ( aElementOf0(X39,xS)
| ~ aElementOf0(X39,esk12_0) )
& aSet0(esk12_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
cnf(c_0_6,plain,
( ~ aSet0(X1)
| sbrdtbr0(X1) != sz00
| X1 = slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
xK = sz00,
inference(split_conjunct,[status(thm)],[m__3462]) ).
cnf(c_0_8,negated_conjecture,
sbrdtbr0(esk12_0) = sz00,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ aSet0(X1)
| sbrdtbr0(X1) != xK
| X1 = slcrc0 ),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
sbrdtbr0(esk12_0) = xK,
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
aSet0(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
sdtlpdtrp0(xc,esk12_0) != sdtlpdtrp0(xc,slcrc0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
esk12_0 = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM565+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n004.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 02:40:05 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 1.20/0.92 % Version: 3.5.1
% 1.20/0.92 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.20/0.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/0.92 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.20/0.92 % Starting new_bool_3 with 300s (1) cores
% 1.20/0.92 % Starting new_bool_1 with 300s (1) cores
% 1.20/0.92 % Starting sh5l with 300s (1) cores
% 1.20/0.92 % new_bool_1 with pid 2075171 completed with status 0
% 1.20/0.92 % Result found by new_bool_1
% 1.20/0.92 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.20/0.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/0.92 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.20/0.92 % Starting new_bool_3 with 300s (1) cores
% 1.20/0.92 % Starting new_bool_1 with 300s (1) cores
% 1.20/0.92 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.20/0.92 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.20/0.92 % Search class: FGHSF-SMLM32-SFFFFFNN
% 1.20/0.92 % partial match(1): FGHSF-SMLM33-SFFFFFNN
% 1.20/0.92 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.20/0.92 % Starting SubtermCWHack with 28s (1) cores
% 1.20/0.92 % SubtermCWHack with pid 2075173 completed with status 0
% 1.20/0.92 % Result found by SubtermCWHack
% 1.20/0.92 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.20/0.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/0.92 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.20/0.92 % Starting new_bool_3 with 300s (1) cores
% 1.20/0.92 % Starting new_bool_1 with 300s (1) cores
% 1.20/0.92 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.20/0.92 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.20/0.92 % Search class: FGHSF-SMLM32-SFFFFFNN
% 1.20/0.92 % partial match(1): FGHSF-SMLM33-SFFFFFNN
% 1.20/0.92 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.20/0.92 % Starting SubtermCWHack with 28s (1) cores
% 1.20/0.92 % Preprocessing time : 0.096 s
% 1.20/0.92
% 1.20/0.92 % Proof found!
% 1.20/0.92 % SZS status Theorem
% 1.20/0.92 % SZS output start CNFRefutation
% See solution above
% 1.20/0.92 % Parsed axioms : 80
% 1.20/0.92 % Removed by relevancy pruning/SinE : 24
% 1.20/0.92 % Initial clauses : 4082
% 1.20/0.92 % Removed in clause preprocessing : 7
% 1.20/0.92 % Initial clauses in saturation : 4075
% 1.20/0.92 % Processed clauses : 56
% 1.20/0.92 % ...of these trivial : 2
% 1.20/0.92 % ...subsumed : 5
% 1.20/0.92 % ...remaining for further processing : 48
% 1.20/0.92 % Other redundant clauses eliminated : 4
% 1.20/0.92 % Clauses deleted for lack of memory : 0
% 1.20/0.92 % Backward-subsumed : 0
% 1.20/0.92 % Backward-rewritten : 5
% 1.20/0.92 % Generated clauses : 21
% 1.20/0.92 % ...of the previous two non-redundant : 13
% 1.20/0.92 % ...aggressively subsumed : 0
% 1.20/0.92 % Contextual simplify-reflections : 0
% 1.20/0.92 % Paramodulations : 17
% 1.20/0.92 % Factorizations : 0
% 1.20/0.92 % NegExts : 0
% 1.20/0.92 % Equation resolutions : 4
% 1.20/0.92 % Disequality decompositions : 0
% 1.20/0.92 % Total rewrite steps : 44
% 1.20/0.92 % ...of those cached : 29
% 1.20/0.92 % Propositional unsat checks : 0
% 1.20/0.92 % Propositional check models : 0
% 1.20/0.92 % Propositional check unsatisfiable : 0
% 1.20/0.92 % Propositional clauses : 0
% 1.20/0.92 % Propositional clauses after purity: 0
% 1.20/0.92 % Propositional unsat core size : 0
% 1.20/0.92 % Propositional preprocessing time : 0.000
% 1.20/0.92 % Propositional encoding time : 0.000
% 1.20/0.92 % Propositional solver time : 0.000
% 1.20/0.92 % Success case prop preproc time : 0.000
% 1.20/0.92 % Success case prop encoding time : 0.000
% 1.20/0.92 % Success case prop solver time : 0.000
% 1.20/0.92 % Current number of processed clauses : 39
% 1.20/0.92 % Positive orientable unit clauses : 22
% 1.20/0.92 % Positive unorientable unit clauses: 0
% 1.20/0.92 % Negative unit clauses : 3
% 1.20/0.92 % Non-unit-clauses : 14
% 1.20/0.92 % Current number of unprocessed clauses: 4032
% 1.20/0.92 % ...number of literals in the above : 50598
% 1.20/0.92 % Current number of archived formulas : 0
% 1.20/0.92 % Current number of archived clauses : 5
% 1.20/0.92 % Clause-clause subsumption calls (NU) : 7
% 1.20/0.92 % Rec. Clause-clause subsumption calls : 5
% 1.20/0.92 % Non-unit clause-clause subsumptions : 0
% 1.20/0.92 % Unit Clause-clause subsumption calls : 3
% 1.20/0.92 % Rewrite failures with RHS unbound : 0
% 1.20/0.92 % BW rewrite match attempts : 1
% 1.20/0.92 % BW rewrite match successes : 1
% 1.20/0.92 % Condensation attempts : 0
% 1.20/0.92 % Condensation successes : 0
% 1.20/0.92 % Termbank termtop insertions : 324843
% 1.20/0.92 % Search garbage collected termcells : 25047
% 1.20/0.92
% 1.20/0.92 % -------------------------------------------------
% 1.20/0.92 % User time : 0.322 s
% 1.20/0.92 % System time : 0.026 s
% 1.20/0.92 % Total time : 0.348 s
% 1.20/0.92 % Maximum resident set size: 15016 pages
% 1.20/0.92
% 1.20/0.92 % -------------------------------------------------
% 1.20/0.92 % User time : 0.329 s
% 1.20/0.92 % System time : 0.033 s
% 1.20/0.92 % Total time : 0.362 s
% 1.20/0.92 % Maximum resident set size: 4608 pages
% 1.20/0.92 % E exiting
%------------------------------------------------------------------------------