%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM548+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 : n009.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 01:49:31 PM UTC 2026
% Result : Theorem 0.21s 0.62s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 34 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 30 ( 11 ~; 7 |; 9 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
isFinite0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(m__2270,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,xS)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).
fof(m__2202,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
fof(c_0_4,negated_conjecture,
~ isFinite0(xQ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
~ isFinite0(xQ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,negated_conjecture,
~ isFinite0(xQ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
fof(c_0_7,plain,
! [X81] :
( ( ~ aSet0(X81)
| aElementOf0(sbrdtbr0(X81),szNzAzT0)
| ~ isFinite0(X81) )
& ( ~ aSet0(X81)
| isFinite0(X81)
| ~ aElementOf0(sbrdtbr0(X81),szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])])]) ).
fof(c_0_8,hypothesis,
! [X145] :
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& sbrdtbr0(xQ) = xk
& aSubsetOf0(xQ,xS)
& ( aElementOf0(X145,xS)
| ~ aElementOf0(X145,xQ) )
& aSet0(xQ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2270])])])]) ).
cnf(c_0_9,negated_conjecture,
~ isFinite0(xQ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ aSet0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
sbrdtbr0(xQ) = xk,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__2202]) ).
cnf(c_0_13,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM548+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.45 % Computer : n009.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 02:39:12 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.52 Running first-order theorem proving
% 0.21/0.53 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
% 0.21/0.62 % Version: 3.5.1
% 0.21/0.62 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.21/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.62 % Starting sh5l with 300s (1) cores
% 0.21/0.62 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 665532 completed with status 0
% 0.21/0.62 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.21/0.62 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.62 % No SInE strategy applied
% 0.21/0.62 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.21/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.21/0.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.21/0.62 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.21/0.62 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.21/0.62 % SubtermCWHack with pid 665536 completed with status 0
% 0.21/0.62 % Result found by SubtermCWHack
% 0.21/0.62 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.62 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.62 % No SInE strategy applied
% 0.21/0.62 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.21/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.62 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.62 % Preprocessing time : 0.004 s
% 0.21/0.62
% 0.21/0.62 % Proof found!
% 0.21/0.62 % SZS status Theorem
% 0.21/0.62 % SZS output start CNFRefutation
% See solution above
% 0.21/0.62 % Parsed axioms : 66
% 0.21/0.62 % Removed by relevancy pruning/SinE : 0
% 0.21/0.62 % Initial clauses : 148
% 0.21/0.62 % Removed in clause preprocessing : 6
% 0.21/0.62 % Initial clauses in saturation : 142
% 0.21/0.62 % Processed clauses : 63
% 0.21/0.62 % ...of these trivial : 0
% 0.21/0.62 % ...subsumed : 2
% 0.21/0.62 % ...remaining for further processing : 61
% 0.21/0.62 % Other redundant clauses eliminated : 5
% 0.21/0.62 % Clauses deleted for lack of memory : 0
% 0.21/0.62 % Backward-subsumed : 0
% 0.21/0.62 % Backward-rewritten : 0
% 0.21/0.62 % Generated clauses : 34
% 0.21/0.62 % ...of the previous two non-redundant : 20
% 0.21/0.62 % ...aggressively subsumed : 0
% 0.21/0.62 % Contextual simplify-reflections : 0
% 0.21/0.62 % Paramodulations : 29
% 0.21/0.62 % Factorizations : 0
% 0.21/0.62 % NegExts : 0
% 0.21/0.62 % Equation resolutions : 5
% 0.21/0.62 % Disequality decompositions : 0
% 0.21/0.62 % Total rewrite steps : 37
% 0.21/0.62 % ...of those cached : 23
% 0.21/0.62 % Propositional unsat checks : 0
% 0.21/0.62 % Propositional check models : 0
% 0.21/0.62 % Propositional check unsatisfiable : 0
% 0.21/0.62 % Propositional clauses : 0
% 0.21/0.62 % Propositional clauses after purity: 0
% 0.21/0.62 % Propositional unsat core size : 0
% 0.21/0.62 % Propositional preprocessing time : 0.000
% 0.21/0.62 % Propositional encoding time : 0.000
% 0.21/0.62 % Propositional solver time : 0.000
% 0.21/0.62 % Success case prop preproc time : 0.000
% 0.21/0.62 % Success case prop encoding time : 0.000
% 0.21/0.62 % Success case prop solver time : 0.000
% 0.21/0.62 % Current number of processed clauses : 57
% 0.21/0.62 % Positive orientable unit clauses : 26
% 0.21/0.62 % Positive unorientable unit clauses: 0
% 0.21/0.62 % Negative unit clauses : 6
% 0.21/0.62 % Non-unit-clauses : 25
% 0.21/0.62 % Current number of unprocessed clauses: 99
% 0.21/0.62 % ...number of literals in the above : 439
% 0.21/0.62 % Current number of archived formulas : 0
% 0.21/0.62 % Current number of archived clauses : 0
% 0.21/0.62 % Clause-clause subsumption calls (NU) : 59
% 0.21/0.62 % Rec. Clause-clause subsumption calls : 48
% 0.21/0.62 % Non-unit clause-clause subsumptions : 1
% 0.21/0.62 % Unit Clause-clause subsumption calls : 22
% 0.21/0.62 % Rewrite failures with RHS unbound : 0
% 0.21/0.62 % BW rewrite match attempts : 0
% 0.21/0.62 % BW rewrite match successes : 0
% 0.21/0.62 % Condensation attempts : 0
% 0.21/0.62 % Condensation successes : 0
% 0.21/0.62 % Termbank termtop insertions : 11936
% 0.21/0.62 % Search garbage collected termcells : 2749
% 0.21/0.62
% 0.21/0.62 % -------------------------------------------------
% 0.21/0.62 % User time : 0.021 s
% 0.21/0.62 % System time : 0.008 s
% 0.21/0.62 % Total time : 0.029 s
% 0.21/0.62 % Maximum resident set size: 3712 pages
% 0.21/0.62
% 0.21/0.62 % -------------------------------------------------
% 0.21/0.62 % User time : 0.045 s
% 0.21/0.62 % System time : 0.023 s
% 0.21/0.62 % Total time : 0.068 s
% 0.21/0.62 % Maximum resident set size: 4864 pages
% 0.21/0.62 % E exiting
%------------------------------------------------------------------------------