%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM615+1 : 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 01:55:43 PM UTC 2026
% Result : Theorem 0.55s 0.65s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 27 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 6 &)
% ( 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 : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 3 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( sdtlpdtrp0(xe,X1) = xp
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__4982,hypothesis,
! [X1] :
( aElementOf0(X1,xO)
=> ? [X2] :
( sdtlpdtrp0(xe,X2) = X1
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X2,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(m__5182,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).
fof(c_0_3,negated_conjecture,
~ ? [X1] :
( sdtlpdtrp0(xe,X1) = xp
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,negated_conjecture,
! [X7] :
( sdtlpdtrp0(xe,X7) != xp
| ~ aElementOf0(X7,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,hypothesis,
! [X56] :
( ( ~ aElementOf0(X56,xO)
| sdtlpdtrp0(xe,esk10_1(X56)) = X56 )
& ( ~ aElementOf0(X56,xO)
| aElementOf0(esk10_1(X56),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X56,xO)
| aElementOf0(esk10_1(X56),szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4982])])])])]) ).
cnf(c_0_6,negated_conjecture,
( sdtlpdtrp0(xe,X1) != xp
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
( ~ aElementOf0(X1,xO)
| aElementOf0(esk10_1(X1),sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
( ~ aElementOf0(X1,xO)
| sdtlpdtrp0(xe,esk10_1(X1)) != xp ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,hypothesis,
( ~ aElementOf0(X1,xO)
| sdtlpdtrp0(xe,esk10_1(X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,hypothesis,
aElementOf0(xp,xO),
inference(split_conjunct,[status(thm)],[m__5182]) ).
cnf(c_0_11,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9])]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM615+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n005.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 02:45:03 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.55 Running first-order theorem proving
% 0.24/0.55 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
% 0.55/0.65 % Version: 3.5.1
% 0.55/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.55/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.55/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.55/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.55/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.55/0.65 % Starting sh5l with 300s (1) cores
% 0.55/0.65 % sh5l with pid 2384436 completed with status 0
% 0.55/0.65 % Result found by sh5l
% 0.55/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.55/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.55/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.55/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.55/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.55/0.65 % Starting sh5l with 300s (1) cores
% 0.55/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.55/0.65 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.55/0.65 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.55/0.65 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.55/0.65 % Starting SubtermCWHack with 28s (1) cores
% 0.55/0.65 % SubtermCWHack with pid 2384443 completed with status 0
% 0.55/0.65 % Result found by SubtermCWHack
% 0.55/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.55/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.55/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.55/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.55/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.55/0.65 % Starting sh5l with 300s (1) cores
% 0.55/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.55/0.65 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.55/0.65 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.55/0.65 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.55/0.65 % Starting SubtermCWHack with 28s (1) cores
% 0.55/0.65 % Preprocessing time : 0.006 s
% 0.55/0.65
% 0.55/0.65 % Proof found!
% 0.55/0.65 % SZS status Theorem
% 0.55/0.65 % SZS output start CNFRefutation
% See solution above
% 0.55/0.65 % Parsed axioms : 111
% 0.55/0.65 % Removed by relevancy pruning/SinE : 2
% 0.55/0.65 % Initial clauses : 206
% 0.55/0.65 % Removed in clause preprocessing : 7
% 0.55/0.65 % Initial clauses in saturation : 199
% 0.55/0.65 % Processed clauses : 282
% 0.55/0.65 % ...of these trivial : 5
% 0.55/0.65 % ...subsumed : 36
% 0.55/0.65 % ...remaining for further processing : 241
% 0.55/0.65 % Other redundant clauses eliminated : 21
% 0.55/0.65 % Clauses deleted for lack of memory : 0
% 0.55/0.65 % Backward-subsumed : 5
% 0.55/0.65 % Backward-rewritten : 4
% 0.55/0.65 % Generated clauses : 281
% 0.55/0.65 % ...of the previous two non-redundant : 224
% 0.55/0.65 % ...aggressively subsumed : 0
% 0.55/0.65 % Contextual simplify-reflections : 4
% 0.55/0.65 % Paramodulations : 261
% 0.55/0.65 % Factorizations : 0
% 0.55/0.65 % NegExts : 0
% 0.55/0.65 % Equation resolutions : 22
% 0.55/0.65 % Disequality decompositions : 0
% 0.55/0.65 % Total rewrite steps : 242
% 0.55/0.65 % ...of those cached : 197
% 0.55/0.65 % Propositional unsat checks : 0
% 0.55/0.65 % Propositional check models : 0
% 0.55/0.65 % Propositional check unsatisfiable : 0
% 0.55/0.65 % Propositional clauses : 0
% 0.55/0.65 % Propositional clauses after purity: 0
% 0.55/0.65 % Propositional unsat core size : 0
% 0.55/0.65 % Propositional preprocessing time : 0.000
% 0.55/0.65 % Propositional encoding time : 0.000
% 0.55/0.65 % Propositional solver time : 0.000
% 0.55/0.65 % Success case prop preproc time : 0.000
% 0.55/0.65 % Success case prop encoding time : 0.000
% 0.55/0.65 % Success case prop solver time : 0.000
% 0.55/0.65 % Current number of processed clauses : 218
% 0.55/0.65 % Positive orientable unit clauses : 70
% 0.55/0.65 % Positive unorientable unit clauses: 0
% 0.55/0.65 % Negative unit clauses : 14
% 0.55/0.65 % Non-unit-clauses : 134
% 0.55/0.65 % Current number of unprocessed clauses: 138
% 0.55/0.65 % ...number of literals in the above : 657
% 0.55/0.65 % Current number of archived formulas : 0
% 0.55/0.65 % Current number of archived clauses : 9
% 0.55/0.65 % Clause-clause subsumption calls (NU) : 1227
% 0.55/0.65 % Rec. Clause-clause subsumption calls : 982
% 0.55/0.65 % Non-unit clause-clause subsumptions : 25
% 0.55/0.65 % Unit Clause-clause subsumption calls : 338
% 0.55/0.65 % Rewrite failures with RHS unbound : 0
% 0.55/0.65 % BW rewrite match attempts : 4
% 0.55/0.65 % BW rewrite match successes : 4
% 0.55/0.65 % Condensation attempts : 0
% 0.55/0.65 % Condensation successes : 0
% 0.55/0.65 % Termbank termtop insertions : 19286
% 0.55/0.65 % Search garbage collected termcells : 3555
% 0.55/0.65
% 0.55/0.65 % -------------------------------------------------
% 0.55/0.65 % User time : 0.047 s
% 0.55/0.65 % System time : 0.005 s
% 0.55/0.65 % Total time : 0.052 s
% 0.55/0.65 % Maximum resident set size: 4284 pages
% 0.55/0.65
% 0.55/0.65 % -------------------------------------------------
% 0.55/0.65 % User time : 0.054 s
% 0.55/0.65 % System time : 0.012 s
% 0.55/0.65 % Total time : 0.065 s
% 0.55/0.65 % Maximum resident set size: 4864 pages
% 0.55/0.65 % E exiting
%------------------------------------------------------------------------------