%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM625+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 : n026.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 01:49:49 PM UTC 2026
% Result : ContradictoryAxioms 1.16s 0.80s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 26 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 20 ( 5 ~; 1 |; 13 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5348,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(m__5147,hypothesis,
( xp = szmzizndt0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(xp,X1) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(m__5496,hypothesis,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5496) ).
fof(c_0_3,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(fof_simplification,[status(thm)],[m__5348]) ).
fof(c_0_4,hypothesis,
! [X91] :
( xp = szmzizndt0(xQ)
& ( sdtlseqdt0(xp,X91)
| ~ aElementOf0(X91,xQ) )
& aElementOf0(xp,xQ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5147])])])]) ).
fof(c_0_5,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
cnf(c_0_6,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
xp = xx,
inference(split_conjunct,[status(thm)],[m__5496]) ).
cnf(c_0_8,hypothesis,
xx != szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
szmzizndt0(xQ) = xx,
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 02:48:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 1.16/0.80 % Version: 3.5.1
% 1.16/0.80 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.16/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.16/0.80 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.16/0.80 % Starting new_bool_3 with 300s (1) cores
% 1.16/0.80 % Starting new_bool_1 with 300s (1) cores
% 1.16/0.80 % Starting sh5l with 300s (1) cores
% 1.16/0.80 % sh5l with pid 1204799 completed with status 9
% 1.16/0.80 % new_bool_3 with pid 1204797 completed with status 0
% 1.16/0.80 % Result found by new_bool_3
% 1.16/0.80 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.16/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.16/0.80 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.16/0.80 % Starting new_bool_3 with 300s (1) cores
% 1.16/0.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.16/0.80 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.16/0.80 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.16/0.80 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.16/0.80 % Starting SubtermCWHack with 31s (1) cores
% 1.16/0.80 % SubtermCWHack with pid 1204851 completed with status 0
% 1.16/0.80 % Result found by SubtermCWHack
% 1.16/0.80 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.16/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.16/0.80 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.16/0.80 % Starting new_bool_3 with 300s (1) cores
% 1.16/0.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.16/0.80 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.16/0.80 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.16/0.80 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.16/0.80 % Starting SubtermCWHack with 31s (1) cores
% 1.16/0.80 % Preprocessing time : 0.060 s
% 1.16/0.80
% 1.16/0.80 % Proof found!
% 1.16/0.80 % SZS status ContradictoryAxioms
% 1.16/0.80 % SZS output start CNFRefutation
% See solution above
% 1.16/0.80 % Parsed axioms : 121
% 1.16/0.80 % Removed by relevancy pruning/SinE : 9
% 1.16/0.80 % Initial clauses : 4909
% 1.16/0.80 % Removed in clause preprocessing : 8
% 1.16/0.80 % Initial clauses in saturation : 4901
% 1.16/0.80 % Processed clauses : 51
% 1.16/0.80 % ...of these trivial : 5
% 1.16/0.80 % ...subsumed : 1
% 1.16/0.80 % ...remaining for further processing : 44
% 1.16/0.80 % Other redundant clauses eliminated : 0
% 1.16/0.80 % Clauses deleted for lack of memory : 0
% 1.16/0.80 % Backward-subsumed : 0
% 1.16/0.80 % Backward-rewritten : 0
% 1.16/0.80 % Generated clauses : 0
% 1.16/0.80 % ...of the previous two non-redundant : 0
% 1.16/0.80 % ...aggressively subsumed : 0
% 1.16/0.80 % Contextual simplify-reflections : 0
% 1.16/0.80 % Paramodulations : 0
% 1.16/0.80 % Factorizations : 0
% 1.16/0.80 % NegExts : 0
% 1.16/0.80 % Equation resolutions : 0
% 1.16/0.80 % Disequality decompositions : 0
% 1.16/0.80 % Total rewrite steps : 9
% 1.16/0.80 % ...of those cached : 4
% 1.16/0.80 % Propositional unsat checks : 0
% 1.16/0.80 % Propositional check models : 0
% 1.16/0.80 % Propositional check unsatisfiable : 0
% 1.16/0.80 % Propositional clauses : 0
% 1.16/0.80 % Propositional clauses after purity: 0
% 1.16/0.80 % Propositional unsat core size : 0
% 1.16/0.80 % Propositional preprocessing time : 0.000
% 1.16/0.80 % Propositional encoding time : 0.000
% 1.16/0.80 % Propositional solver time : 0.000
% 1.16/0.80 % Success case prop preproc time : 0.000
% 1.16/0.80 % Success case prop encoding time : 0.000
% 1.16/0.80 % Success case prop solver time : 0.000
% 1.16/0.80 % Current number of processed clauses : 44
% 1.16/0.80 % Positive orientable unit clauses : 42
% 1.16/0.80 % Positive unorientable unit clauses: 0
% 1.16/0.80 % Negative unit clauses : 2
% 1.16/0.80 % Non-unit-clauses : 0
% 1.16/0.80 % Current number of unprocessed clauses: 4850
% 1.16/0.80 % ...number of literals in the above : 55884
% 1.16/0.80 % Current number of archived formulas : 0
% 1.16/0.80 % Current number of archived clauses : 0
% 1.16/0.80 % Clause-clause subsumption calls (NU) : 0
% 1.16/0.80 % Rec. Clause-clause subsumption calls : 0
% 1.16/0.80 % Non-unit clause-clause subsumptions : 0
% 1.16/0.80 % Unit Clause-clause subsumption calls : 0
% 1.16/0.80 % Rewrite failures with RHS unbound : 0
% 1.16/0.80 % BW rewrite match attempts : 0
% 1.16/0.80 % BW rewrite match successes : 0
% 1.16/0.80 % Condensation attempts : 0
% 1.16/0.80 % Condensation successes : 0
% 1.16/0.80 % Termbank termtop insertions : 381534
% 1.16/0.80 % Search garbage collected termcells : 31573
% 1.16/0.80
% 1.16/0.80 % -------------------------------------------------
% 1.16/0.80 % User time : 0.322 s
% 1.16/0.80 % System time : 0.024 s
% 1.16/0.80 % Total time : 0.346 s
% 1.16/0.80 % Maximum resident set size: 16120 pages
% 1.16/0.80
% 1.16/0.80 % -------------------------------------------------
% 1.16/0.80 % User time : 0.339 s
% 1.16/0.80 % System time : 0.046 s
% 1.16/0.80 % Total time : 0.384 s
% 1.16/0.80 % Maximum resident set size: 4864 pages
% 1.16/0.80 % E exiting
%------------------------------------------------------------------------------