%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM620+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 : n001.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 01:55:44 PM UTC 2026
% Result : Theorem 1.76s 0.74s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 39 ( 6 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 36 ( 10 ~; 7 |; 13 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__4660,hypothesis,
( ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1)) ) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(m__5389,hypothesis,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
fof(c_0_3,negated_conjecture,
~ ( ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,hypothesis,
! [X235,X236] :
( ( ~ aElementOf0(X235,szNzAzT0)
| sdtlpdtrp0(xe,X235) = szmzizndt0(sdtlpdtrp0(xN,X235)) )
& ( ~ aElementOf0(X235,szNzAzT0)
| sdtlseqdt0(sdtlpdtrp0(xe,X235),X236)
| ~ aElementOf0(X236,sdtlpdtrp0(xN,X235)) )
& ( ~ aElementOf0(X235,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X235),sdtlpdtrp0(xN,X235)) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])])])]) ).
fof(c_0_5,negated_conjecture,
! [X269] :
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ( aElementOf0(X269,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X269,sdtlpdtrp0(xN,xm)) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6,hypothesis,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
xx = sdtlpdtrp0(xe,xm),
inference(split_conjunct,[status(thm)],[m__5389]) ).
cnf(c_0_8,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5389]) ).
cnf(c_0_9,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xm))
| aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,hypothesis,
aElementOf0(xx,sdtlpdtrp0(xN,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM620+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 02:50:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 1.76/0.74 % Version: 3.5.1
% 1.76/0.74 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.76/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.76/0.74 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.76/0.74 % Starting new_bool_3 with 300s (1) cores
% 1.76/0.74 % Starting new_bool_1 with 300s (1) cores
% 1.76/0.74 % Starting sh5l with 300s (1) cores
% 1.76/0.74 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2031351 completed with status 0
% 1.76/0.74 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.76/0.74 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.76/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.76/0.74 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.76/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.76/0.74 % No SInE strategy applied
% 1.76/0.74 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.76/0.74 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.76/0.74 % Starting SubtermCWHack with 136s (1) cores
% 1.76/0.74 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.76/0.74 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 1.76/0.74 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.76/0.74 % Starting new_bool_3 with 136s (1) cores
% 1.76/0.74 % SubtermCWHack with pid 2031355 completed with status 0
% 1.76/0.74 % Result found by SubtermCWHack
% 1.76/0.74 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.76/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.76/0.74 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.76/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.76/0.74 % No SInE strategy applied
% 1.76/0.74 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.76/0.74 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.76/0.74 % Starting SubtermCWHack with 136s (1) cores
% 1.76/0.74 % Preprocessing time : 0.117 s
% 1.76/0.74
% 1.76/0.74 % Proof found!
% 1.76/0.74 % SZS status Theorem
% 1.76/0.74 % SZS output start CNFRefutation
% See solution above
% 1.76/0.74 % Parsed axioms : 117
% 1.76/0.74 % Removed by relevancy pruning/SinE : 0
% 1.76/0.74 % Initial clauses : 4929
% 1.76/0.74 % Removed in clause preprocessing : 7
% 1.76/0.74 % Initial clauses in saturation : 4922
% 1.76/0.74 % Processed clauses : 500
% 1.76/0.74 % ...of these trivial : 13
% 1.76/0.74 % ...subsumed : 96
% 1.76/0.74 % ...remaining for further processing : 391
% 1.76/0.74 % Other redundant clauses eliminated : 24
% 1.76/0.74 % Clauses deleted for lack of memory : 0
% 1.76/0.74 % Backward-subsumed : 7
% 1.76/0.74 % Backward-rewritten : 11
% 1.76/0.74 % Generated clauses : 556
% 1.76/0.74 % ...of the previous two non-redundant : 437
% 1.76/0.74 % ...aggressively subsumed : 0
% 1.76/0.74 % Contextual simplify-reflections : 7
% 1.76/0.74 % Paramodulations : 532
% 1.76/0.74 % Factorizations : 0
% 1.76/0.74 % NegExts : 0
% 1.76/0.74 % Equation resolutions : 25
% 1.76/0.74 % Disequality decompositions : 0
% 1.76/0.74 % Total rewrite steps : 486
% 1.76/0.74 % ...of those cached : 413
% 1.76/0.74 % Propositional unsat checks : 0
% 1.76/0.74 % Propositional check models : 0
% 1.76/0.74 % Propositional check unsatisfiable : 0
% 1.76/0.74 % Propositional clauses : 0
% 1.76/0.74 % Propositional clauses after purity: 0
% 1.76/0.74 % Propositional unsat core size : 0
% 1.76/0.74 % Propositional preprocessing time : 0.000
% 1.76/0.74 % Propositional encoding time : 0.000
% 1.76/0.74 % Propositional solver time : 0.000
% 1.76/0.74 % Success case prop preproc time : 0.000
% 1.76/0.74 % Success case prop encoding time : 0.000
% 1.76/0.74 % Success case prop solver time : 0.000
% 1.76/0.74 % Current number of processed clauses : 354
% 1.76/0.74 % Positive orientable unit clauses : 114
% 1.76/0.74 % Positive unorientable unit clauses: 0
% 1.76/0.74 % Negative unit clauses : 29
% 1.76/0.74 % Non-unit-clauses : 211
% 1.76/0.74 % Current number of unprocessed clauses: 4845
% 1.76/0.74 % ...number of literals in the above : 56084
% 1.76/0.74 % Current number of archived formulas : 0
% 1.76/0.74 % Current number of archived clauses : 19
% 1.76/0.74 % Clause-clause subsumption calls (NU) : 5968
% 1.76/0.74 % Rec. Clause-clause subsumption calls : 4858
% 1.76/0.74 % Non-unit clause-clause subsumptions : 68
% 1.76/0.74 % Unit Clause-clause subsumption calls : 1038
% 1.76/0.74 % Rewrite failures with RHS unbound : 0
% 1.76/0.74 % BW rewrite match attempts : 10
% 1.76/0.74 % BW rewrite match successes : 8
% 1.76/0.74 % Condensation attempts : 0
% 1.76/0.74 % Condensation successes : 0
% 1.76/0.74 % Termbank termtop insertions : 390484
% 1.76/0.74 % Search garbage collected termcells : 32088
% 1.76/0.74
% 1.76/0.74 % -------------------------------------------------
% 1.76/0.74 % User time : 0.273 s
% 1.76/0.74 % System time : 0.036 s
% 1.76/0.74 % Total time : 0.309 s
% 1.76/0.74 % Maximum resident set size: 15864 pages
% 1.76/0.74
% 1.76/0.74 % -------------------------------------------------
% 1.76/0.74 % User time : 0.771 s
% 1.76/0.74 % System time : 0.096 s
% 1.76/0.74 % Total time : 0.867 s
% 1.76/0.74 % Maximum resident set size: 4864 pages
% 1.76/0.74 % E exiting
%------------------------------------------------------------------------------