%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM568+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 : n005.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 01:49:36 PM UTC 2026
% Result : Theorem 2.87s 1.09s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 32 ( 16 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 30 ( 14 ~; 11 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn 3 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( szszuzczcdt0(X1) = xK
& aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__3462,hypothesis,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ? [X2] :
( X1 = szszuzczcdt0(X2)
& aElementOf0(X2,szNzAzT0) )
| X1 = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(m__3418,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(c_0_4,negated_conjecture,
~ ? [X1] :
( szszuzczcdt0(X1) = xK
& aElementOf0(X1,szNzAzT0) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,hypothesis,
xK != sz00,
inference(fof_simplification,[status(thm)],[m__3462]) ).
fof(c_0_6,negated_conjecture,
! [X206] :
( szszuzczcdt0(X206) != xK
| ~ aElementOf0(X206,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X62] :
( ( ~ aElementOf0(X62,szNzAzT0)
| X62 = sz00
| X62 = szszuzczcdt0(esk5_1(X62)) )
& ( ~ aElementOf0(X62,szNzAzT0)
| X62 = sz00
| aElementOf0(esk5_1(X62),szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])])]) ).
fof(c_0_8,hypothesis,
xK != sz00,
inference(fof_nnf,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( szszuzczcdt0(X1) != xK
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 = sz00
| X1 = szszuzczcdt0(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
aElementOf0(xK,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3418]) ).
cnf(c_0_12,hypothesis,
xK != sz00,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
~ aElementOf0(esk5_1(xK),szNzAzT0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10])]),c_0_11])]),c_0_12]) ).
cnf(c_0_14,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 = sz00
| aElementOf0(esk5_1(X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_11])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM568+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 02:40:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 2.87/1.09 % Version: 3.5.1
% 2.87/1.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.87/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.87/1.09 % Starting new_bool_3 with 300s (1) cores
% 2.87/1.09 % Starting new_bool_1 with 300s (1) cores
% 2.87/1.09 % Starting sh5l with 300s (1) cores
% 2.87/1.09 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2375566 completed with status 0
% 2.87/1.09 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.87/1.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.87/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.87/1.09 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.87/1.09 % No SInE strategy applied
% 2.87/1.09 % Search class: FGHSF-SMLM32-MFFFFFNN
% 2.87/1.09 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.87/1.09 % Starting SubtermCWHack with 136s (1) cores
% 2.87/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.87/1.09 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 2.87/1.09 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 2.87/1.09 % Starting new_bool_3 with 136s (1) cores
% 2.87/1.09 % SubtermCWHack with pid 2375572 completed with status 0
% 2.87/1.09 % Result found by SubtermCWHack
% 2.87/1.09 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.87/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/1.09 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.87/1.09 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.87/1.09 % No SInE strategy applied
% 2.87/1.09 % Search class: FGHSF-SMLM32-MFFFFFNN
% 2.87/1.09 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.87/1.09 % Starting SubtermCWHack with 136s (1) cores
% 2.87/1.09 % Preprocessing time : 0.147 s
% 2.87/1.09
% 2.87/1.09 % Proof found!
% 2.87/1.09 % SZS status Theorem
% 2.87/1.09 % SZS output start CNFRefutation
% See solution above
% 2.87/1.09 % Parsed axioms : 80
% 2.87/1.09 % Removed by relevancy pruning/SinE : 0
% 2.87/1.09 % Initial clauses : 4138
% 2.87/1.09 % Removed in clause preprocessing : 7
% 2.87/1.09 % Initial clauses in saturation : 4131
% 2.87/1.09 % Processed clauses : 77
% 2.87/1.09 % ...of these trivial : 0
% 2.87/1.09 % ...subsumed : 4
% 2.87/1.09 % ...remaining for further processing : 73
% 2.87/1.09 % Other redundant clauses eliminated : 7
% 2.87/1.09 % Clauses deleted for lack of memory : 0
% 2.87/1.09 % Backward-subsumed : 2
% 2.87/1.09 % Backward-rewritten : 0
% 2.87/1.09 % Generated clauses : 56
% 2.87/1.09 % ...of the previous two non-redundant : 39
% 2.87/1.09 % ...aggressively subsumed : 0
% 2.87/1.09 % Contextual simplify-reflections : 0
% 2.87/1.09 % Paramodulations : 49
% 2.87/1.09 % Factorizations : 0
% 2.87/1.09 % NegExts : 0
% 2.87/1.09 % Equation resolutions : 7
% 2.87/1.09 % Disequality decompositions : 0
% 2.87/1.09 % Total rewrite steps : 49
% 2.87/1.09 % ...of those cached : 35
% 2.87/1.09 % Propositional unsat checks : 0
% 2.87/1.09 % Propositional check models : 0
% 2.87/1.09 % Propositional check unsatisfiable : 0
% 2.87/1.09 % Propositional clauses : 0
% 2.87/1.09 % Propositional clauses after purity: 0
% 2.87/1.09 % Propositional unsat core size : 0
% 2.87/1.09 % Propositional preprocessing time : 0.000
% 2.87/1.09 % Propositional encoding time : 0.000
% 2.87/1.09 % Propositional solver time : 0.000
% 2.87/1.09 % Success case prop preproc time : 0.000
% 2.87/1.09 % Success case prop encoding time : 0.000
% 2.87/1.09 % Success case prop solver time : 0.000
% 2.87/1.09 % Current number of processed clauses : 66
% 2.87/1.09 % Positive orientable unit clauses : 22
% 2.87/1.09 % Positive unorientable unit clauses: 0
% 2.87/1.09 % Negative unit clauses : 8
% 2.87/1.09 % Non-unit-clauses : 36
% 2.87/1.09 % Current number of unprocessed clauses: 4091
% 2.87/1.09 % ...number of literals in the above : 50913
% 2.87/1.09 % Current number of archived formulas : 0
% 2.87/1.09 % Current number of archived clauses : 2
% 2.87/1.09 % Clause-clause subsumption calls (NU) : 208
% 2.87/1.09 % Rec. Clause-clause subsumption calls : 169
% 2.87/1.09 % Non-unit clause-clause subsumptions : 2
% 2.87/1.09 % Unit Clause-clause subsumption calls : 63
% 2.87/1.09 % Rewrite failures with RHS unbound : 0
% 2.87/1.09 % BW rewrite match attempts : 0
% 2.87/1.09 % BW rewrite match successes : 0
% 2.87/1.09 % Condensation attempts : 0
% 2.87/1.09 % Condensation successes : 0
% 2.87/1.09 % Termbank termtop insertions : 330360
% 2.87/1.09 % Search garbage collected termcells : 26367
% 2.87/1.09
% 2.87/1.09 % -------------------------------------------------
% 2.87/1.09 % User time : 0.582 s
% 2.87/1.09 % System time : 0.039 s
% 2.87/1.09 % Total time : 0.621 s
% 2.87/1.09 % Maximum resident set size: 15012 pages
% 2.87/1.09
% 2.87/1.09 % -------------------------------------------------
% 2.87/1.09 % User time : 1.061 s
% 2.87/1.09 % System time : 0.093 s
% 2.87/1.09 % Total time : 1.154 s
% 2.87/1.09 % Maximum resident set size: 4608 pages
% 2.87/1.09 % E exiting
%------------------------------------------------------------------------------