%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM564+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 : n003.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 01:55:31 PM UTC 2026
% Result : Theorem 1.95s 1.09s
% Output : CNFRefutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 23 ( 8 ~; 4 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 1 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ~ ? [X1] : aElementOf0(X1,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_1,negated_conjecture,
~ ( ( ~ ? [X1] : aElementOf0(X1,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_2,negated_conjecture,
! [X8] :
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(esk1_0,xS)
& aElementOf0(esk1_0,slcrc0)
& ~ aElementOf0(X8,slcrc0)
& aSet0(slcrc0) ),
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_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
aElementOf0(esk1_0,slcrc0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
~ aElementOf0(X1,slcrc0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_3,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n003.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 02:41:46 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 1.95/1.09 % Version: 3.5.1
% 1.95/1.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.95/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.95/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.95/1.09 % Starting new_bool_3 with 300s (1) cores
% 1.95/1.09 % Starting new_bool_1 with 300s (1) cores
% 1.95/1.09 % Starting sh5l with 300s (1) cores
% 1.95/1.09 % sh5l with pid 3231187 completed with status 0
% 1.95/1.09 % Result found by sh5l
% 1.95/1.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.95/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.95/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.95/1.09 % Starting new_bool_3 with 300s (1) cores
% 1.95/1.09 % Starting new_bool_1 with 300s (1) cores
% 1.95/1.09 % Starting sh5l with 300s (1) cores
% 1.95/1.09 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.95/1.09 % SinE strategy is gf500_gu_R04_F100_L20000
% 1.95/1.09 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.95/1.09 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.95/1.09 % Starting SubtermCWHack with 28s (1) cores
% 1.95/1.09 % SubtermCWHack with pid 3231188 completed with status 0
% 1.95/1.09 % Result found by SubtermCWHack
% 1.95/1.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.95/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.95/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.95/1.09 % Starting new_bool_3 with 300s (1) cores
% 1.95/1.09 % Starting new_bool_1 with 300s (1) cores
% 1.95/1.09 % Starting sh5l with 300s (1) cores
% 1.95/1.09 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.95/1.09 % SinE strategy is gf500_gu_R04_F100_L20000
% 1.95/1.09 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.95/1.09 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.95/1.09 % Starting SubtermCWHack with 28s (1) cores
% 1.95/1.09 % Preprocessing time : 0.162 s
% 1.95/1.09
% 1.95/1.09 % Proof found!
% 1.95/1.09 % SZS status Theorem
% 1.95/1.09 % SZS output start CNFRefutation
% See solution above
% 1.95/1.09 % Parsed axioms : 79
% 1.95/1.09 % Removed by relevancy pruning/SinE : 4
% 1.95/1.09 % Initial clauses : 4128
% 1.95/1.09 % Removed in clause preprocessing : 7
% 1.95/1.09 % Initial clauses in saturation : 4121
% 1.95/1.09 % Processed clauses : 18
% 1.95/1.09 % ...of these trivial : 1
% 1.95/1.09 % ...subsumed : 0
% 1.95/1.09 % ...remaining for further processing : 17
% 1.95/1.09 % Other redundant clauses eliminated : 0
% 1.95/1.09 % Clauses deleted for lack of memory : 0
% 1.95/1.09 % Backward-subsumed : 0
% 1.95/1.09 % Backward-rewritten : 0
% 1.95/1.09 % Generated clauses : 1
% 1.95/1.09 % ...of the previous two non-redundant : 0
% 1.95/1.09 % ...aggressively subsumed : 0
% 1.95/1.09 % Contextual simplify-reflections : 0
% 1.95/1.09 % Paramodulations : 0
% 1.95/1.09 % Factorizations : 0
% 1.95/1.09 % NegExts : 0
% 1.95/1.09 % Equation resolutions : 0
% 1.95/1.09 % Disequality decompositions : 0
% 1.95/1.09 % Total rewrite steps : 3
% 1.95/1.09 % ...of those cached : 1
% 1.95/1.09 % Propositional unsat checks : 0
% 1.95/1.09 % Propositional check models : 0
% 1.95/1.09 % Propositional check unsatisfiable : 0
% 1.95/1.09 % Propositional clauses : 0
% 1.95/1.09 % Propositional clauses after purity: 0
% 1.95/1.09 % Propositional unsat core size : 0
% 1.95/1.09 % Propositional preprocessing time : 0.000
% 1.95/1.09 % Propositional encoding time : 0.000
% 1.95/1.09 % Propositional solver time : 0.000
% 1.95/1.09 % Success case prop preproc time : 0.000
% 1.95/1.09 % Success case prop encoding time : 0.000
% 1.95/1.09 % Success case prop solver time : 0.000
% 1.95/1.09 % Current number of processed clauses : 16
% 1.95/1.09 % Positive orientable unit clauses : 13
% 1.95/1.09 % Positive unorientable unit clauses: 0
% 1.95/1.09 % Negative unit clauses : 3
% 1.95/1.09 % Non-unit-clauses : 0
% 1.95/1.09 % Current number of unprocessed clauses: 4103
% 1.95/1.09 % ...number of literals in the above : 50889
% 1.95/1.09 % Current number of archived formulas : 0
% 1.95/1.09 % Current number of archived clauses : 1
% 1.95/1.09 % Clause-clause subsumption calls (NU) : 0
% 1.95/1.09 % Rec. Clause-clause subsumption calls : 0
% 1.95/1.09 % Non-unit clause-clause subsumptions : 0
% 1.95/1.09 % Unit Clause-clause subsumption calls : 0
% 1.95/1.09 % Rewrite failures with RHS unbound : 0
% 1.95/1.09 % BW rewrite match attempts : 0
% 1.95/1.09 % BW rewrite match successes : 0
% 1.95/1.09 % Condensation attempts : 0
% 1.95/1.09 % Condensation successes : 0
% 1.95/1.09 % Termbank termtop insertions : 328519
% 1.95/1.09 % Search garbage collected termcells : 25997
% 1.95/1.09
% 1.95/1.09 % -------------------------------------------------
% 1.95/1.09 % User time : 0.579 s
% 1.95/1.09 % System time : 0.034 s
% 1.95/1.09 % Total time : 0.614 s
% 1.95/1.09 % Maximum resident set size: 15012 pages
% 1.95/1.09
% 1.95/1.09 % -------------------------------------------------
% 1.95/1.09 % User time : 0.586 s
% 1.95/1.09 % System time : 0.044 s
% 1.95/1.09 % Total time : 0.629 s
% 1.95/1.09 % Maximum resident set size: 4864 pages
% 1.95/1.09 % E exiting
%------------------------------------------------------------------------------