%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 01:55:43 PM UTC 2026
% Result : Theorem 1.96s 1.13s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 22 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 21 ( 8 ~; 6 |; 7 &)
% ( 0 <=>; 0 =>; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 1 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( sdtlpdtrp0(xe,X1) = xp
& ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szDzozmdt0(xd)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__5182,hypothesis,
? [X1] :
( sdtlpdtrp0(xe,X1) = xp
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
fof(c_0_2,negated_conjecture,
~ ? [X1] :
( sdtlpdtrp0(xe,X1) = xp
& ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,szDzozmdt0(xd)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_3,negated_conjecture,
! [X97] :
( ( sdtlpdtrp0(xe,X97) != xp
| ~ aElementOf0(X97,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( sdtlpdtrp0(xe,X97) != xp
| sdtlpdtrp0(xd,X97) != szDzizrdt0(xd)
| ~ aElementOf0(X97,szDzozmdt0(xd)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_4,hypothesis,
( sdtlpdtrp0(xe,esk22_0) = xp
& aElementOf0(esk22_0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__5182])]) ).
cnf(c_0_5,negated_conjecture,
( sdtlpdtrp0(xe,X1) != xp
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,hypothesis,
aElementOf0(esk22_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
sdtlpdtrp0(xe,esk22_0) = xp,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n009.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 02:44:58 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.54 Running first-order theorem proving
% 0.23/0.54 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.96/1.13 % Version: 3.5.1
% 1.96/1.13 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.96/1.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.96/1.13 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.96/1.13 % Starting new_bool_3 with 300s (1) cores
% 1.96/1.13 % Starting new_bool_1 with 300s (1) cores
% 1.96/1.13 % Starting sh5l with 300s (1) cores
% 1.96/1.13 % new_bool_1 with pid 674863 completed with status 0
% 1.96/1.13 % Result found by new_bool_1
% 1.96/1.13 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.96/1.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.96/1.13 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.96/1.13 % Starting new_bool_3 with 300s (1) cores
% 1.96/1.13 % Starting new_bool_1 with 300s (1) cores
% 1.96/1.13 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.96/1.13 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.96/1.13 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.96/1.13 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.96/1.13 % Starting SubtermCWHack with 28s (1) cores
% 1.96/1.13 % SubtermCWHack with pid 674865 completed with status 0
% 1.96/1.13 % Result found by SubtermCWHack
% 1.96/1.13 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.96/1.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.96/1.13 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.96/1.13 % Starting new_bool_3 with 300s (1) cores
% 1.96/1.13 % Starting new_bool_1 with 300s (1) cores
% 1.96/1.13 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.96/1.13 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.96/1.13 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.96/1.13 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.96/1.13 % Starting SubtermCWHack with 28s (1) cores
% 1.96/1.13 % Preprocessing time : 0.183 s
% 1.96/1.13
% 1.96/1.13 % Proof found!
% 1.96/1.13 % SZS status Theorem
% 1.96/1.13 % SZS output start CNFRefutation
% See solution above
% 1.96/1.13 % Parsed axioms : 111
% 1.96/1.13 % Removed by relevancy pruning/SinE : 9
% 1.96/1.13 % Initial clauses : 4886
% 1.96/1.13 % Removed in clause preprocessing : 7
% 1.96/1.13 % Initial clauses in saturation : 4879
% 1.96/1.13 % Processed clauses : 437
% 1.96/1.13 % ...of these trivial : 9
% 1.96/1.13 % ...subsumed : 93
% 1.96/1.13 % ...remaining for further processing : 335
% 1.96/1.13 % Other redundant clauses eliminated : 19
% 1.96/1.13 % Clauses deleted for lack of memory : 0
% 1.96/1.13 % Backward-subsumed : 7
% 1.96/1.13 % Backward-rewritten : 3
% 1.96/1.13 % Generated clauses : 482
% 1.96/1.13 % ...of the previous two non-redundant : 381
% 1.96/1.13 % ...aggressively subsumed : 0
% 1.96/1.13 % Contextual simplify-reflections : 4
% 1.96/1.13 % Paramodulations : 463
% 1.96/1.13 % Factorizations : 0
% 1.96/1.13 % NegExts : 0
% 1.96/1.13 % Equation resolutions : 20
% 1.96/1.13 % Disequality decompositions : 0
% 1.96/1.13 % Total rewrite steps : 396
% 1.96/1.13 % ...of those cached : 336
% 1.96/1.13 % Propositional unsat checks : 0
% 1.96/1.13 % Propositional check models : 0
% 1.96/1.13 % Propositional check unsatisfiable : 0
% 1.96/1.13 % Propositional clauses : 0
% 1.96/1.13 % Propositional clauses after purity: 0
% 1.96/1.13 % Propositional unsat core size : 0
% 1.96/1.13 % Propositional preprocessing time : 0.000
% 1.96/1.13 % Propositional encoding time : 0.000
% 1.96/1.13 % Propositional solver time : 0.000
% 1.96/1.13 % Success case prop preproc time : 0.000
% 1.96/1.13 % Success case prop encoding time : 0.000
% 1.96/1.13 % Success case prop solver time : 0.000
% 1.96/1.13 % Current number of processed clauses : 310
% 1.96/1.13 % Positive orientable unit clauses : 90
% 1.96/1.13 % Positive unorientable unit clauses: 0
% 1.96/1.13 % Negative unit clauses : 26
% 1.96/1.13 % Non-unit-clauses : 194
% 1.96/1.13 % Current number of unprocessed clauses: 4813
% 1.96/1.13 % ...number of literals in the above : 55936
% 1.96/1.13 % Current number of archived formulas : 0
% 1.96/1.13 % Current number of archived clauses : 11
% 1.96/1.13 % Clause-clause subsumption calls (NU) : 5546
% 1.96/1.13 % Rec. Clause-clause subsumption calls : 4534
% 1.96/1.13 % Non-unit clause-clause subsumptions : 58
% 1.96/1.13 % Unit Clause-clause subsumption calls : 822
% 1.96/1.13 % Rewrite failures with RHS unbound : 0
% 1.96/1.13 % BW rewrite match attempts : 5
% 1.96/1.13 % BW rewrite match successes : 3
% 1.96/1.13 % Condensation attempts : 0
% 1.96/1.13 % Condensation successes : 0
% 1.96/1.13 % Termbank termtop insertions : 387060
% 1.96/1.13 % Search garbage collected termcells : 31534
% 1.96/1.13
% 1.96/1.13 % -------------------------------------------------
% 1.96/1.13 % User time : 0.467 s
% 1.96/1.13 % System time : 0.038 s
% 1.96/1.13 % Total time : 0.505 s
% 1.96/1.13 % Maximum resident set size: 16112 pages
% 1.96/1.13
% 1.96/1.13 % -------------------------------------------------
% 1.96/1.13 % User time : 0.475 s
% 1.96/1.13 % System time : 0.050 s
% 1.96/1.13 % Total time : 0.525 s
% 1.96/1.13 % Maximum resident set size: 5120 pages
% 1.96/1.13 % E exiting
%------------------------------------------------------------------------------