%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM615+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 : n016.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 01:49:47 PM UTC 2026
% Result : Theorem 1.83s 1.33s
% Output : CNFRefutation 1.83s
% 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/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__5182,hypothesis,
? [X1] :
( sdtlpdtrp0(xe,X1) = xp
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/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,
! [X267] :
( ( sdtlpdtrp0(xe,X267) != xp
| ~ aElementOf0(X267,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( sdtlpdtrp0(xe,X267) != xp
| sdtlpdtrp0(xd,X267) != szDzizrdt0(xd)
| ~ aElementOf0(X267,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,esk41_0) = xp
& aElementOf0(esk41_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(esk41_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
sdtlpdtrp0(xe,esk41_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
% 0.00/0.03 % Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n016.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 02:49:38 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.53 Running first-order theorem proving
% 0.27/0.53 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
% 1.83/1.33 % Version: 3.5.1
% 1.83/1.33 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.83/1.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.83/1.33 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.83/1.33 % Starting new_bool_3 with 300s (1) cores
% 1.83/1.33 % Starting new_bool_1 with 300s (1) cores
% 1.83/1.33 % Starting sh5l with 300s (1) cores
% 1.83/1.33 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1395000 completed with status 0
% 1.83/1.33 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.83/1.33 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.83/1.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.83/1.33 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.83/1.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.83/1.33 % No SInE strategy applied
% 1.83/1.33 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.83/1.33 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.83/1.33 % Starting SubtermCWHack with 136s (1) cores
% 1.83/1.33 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.83/1.33 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 1.83/1.33 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.83/1.33 % Starting new_bool_3 with 136s (1) cores
% 1.83/1.33 % SubtermCWHack with pid 1395005 completed with status 0
% 1.83/1.33 % Result found by SubtermCWHack
% 1.83/1.33 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.83/1.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.83/1.33 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.83/1.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.83/1.33 % No SInE strategy applied
% 1.83/1.33 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.83/1.33 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.83/1.33 % Starting SubtermCWHack with 136s (1) cores
% 1.83/1.33 % Preprocessing time : 0.168 s
% 1.83/1.33
% 1.83/1.33 % Proof found!
% 1.83/1.33 % SZS status Theorem
% 1.83/1.33 % SZS output start CNFRefutation
% See solution above
% 1.83/1.33 % Parsed axioms : 111
% 1.83/1.33 % Removed by relevancy pruning/SinE : 0
% 1.83/1.33 % Initial clauses : 4912
% 1.83/1.33 % Removed in clause preprocessing : 7
% 1.83/1.33 % Initial clauses in saturation : 4905
% 1.83/1.33 % Processed clauses : 461
% 1.83/1.33 % ...of these trivial : 10
% 1.83/1.33 % ...subsumed : 99
% 1.83/1.33 % ...remaining for further processing : 352
% 1.83/1.33 % Other redundant clauses eliminated : 23
% 1.83/1.33 % Clauses deleted for lack of memory : 0
% 1.83/1.33 % Backward-subsumed : 7
% 1.83/1.33 % Backward-rewritten : 7
% 1.83/1.33 % Generated clauses : 517
% 1.83/1.33 % ...of the previous two non-redundant : 409
% 1.83/1.33 % ...aggressively subsumed : 0
% 1.83/1.33 % Contextual simplify-reflections : 6
% 1.83/1.33 % Paramodulations : 494
% 1.83/1.33 % Factorizations : 0
% 1.83/1.33 % NegExts : 0
% 1.83/1.33 % Equation resolutions : 24
% 1.83/1.33 % Disequality decompositions : 0
% 1.83/1.33 % Total rewrite steps : 417
% 1.83/1.33 % ...of those cached : 355
% 1.83/1.33 % Propositional unsat checks : 0
% 1.83/1.33 % Propositional check models : 0
% 1.83/1.33 % Propositional check unsatisfiable : 0
% 1.83/1.33 % Propositional clauses : 0
% 1.83/1.33 % Propositional clauses after purity: 0
% 1.83/1.33 % Propositional unsat core size : 0
% 1.83/1.33 % Propositional preprocessing time : 0.000
% 1.83/1.33 % Propositional encoding time : 0.000
% 1.83/1.33 % Propositional solver time : 0.000
% 1.83/1.33 % Success case prop preproc time : 0.000
% 1.83/1.33 % Success case prop encoding time : 0.000
% 1.83/1.33 % Success case prop solver time : 0.000
% 1.83/1.33 % Current number of processed clauses : 320
% 1.83/1.33 % Positive orientable unit clauses : 90
% 1.83/1.33 % Positive unorientable unit clauses: 0
% 1.83/1.33 % Negative unit clauses : 25
% 1.83/1.33 % Non-unit-clauses : 205
% 1.83/1.33 % Current number of unprocessed clauses: 4843
% 1.83/1.33 % ...number of literals in the above : 56079
% 1.83/1.33 % Current number of archived formulas : 0
% 1.83/1.33 % Current number of archived clauses : 15
% 1.83/1.33 % Clause-clause subsumption calls (NU) : 7103
% 1.83/1.33 % Rec. Clause-clause subsumption calls : 5616
% 1.83/1.33 % Non-unit clause-clause subsumptions : 64
% 1.83/1.33 % Unit Clause-clause subsumption calls : 805
% 1.83/1.33 % Rewrite failures with RHS unbound : 0
% 1.83/1.33 % BW rewrite match attempts : 7
% 1.83/1.33 % BW rewrite match successes : 5
% 1.83/1.33 % Condensation attempts : 0
% 1.83/1.33 % Condensation successes : 0
% 1.83/1.33 % Termbank termtop insertions : 389449
% 1.83/1.33 % Search garbage collected termcells : 32045
% 1.83/1.33
% 1.83/1.33 % -------------------------------------------------
% 1.83/1.33 % User time : 0.678 s
% 1.83/1.33 % System time : 0.051 s
% 1.83/1.33 % Total time : 0.729 s
% 1.83/1.33 % Maximum resident set size: 15824 pages
% 1.83/1.33
% 1.83/1.33 % -------------------------------------------------
% 1.83/1.33 % User time : 1.325 s
% 1.83/1.33 % System time : 0.114 s
% 1.83/1.33 % Total time : 1.439 s
% 1.83/1.33 % Maximum resident set size: 5120 pages
% 1.83/1.33 % E exiting
%------------------------------------------------------------------------------