TSTP Solution File: SET086^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET086^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:17:58 EDT 2024
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 7 unt; 2 typ; 0 def)
% Number of atoms : 10 ( 6 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 0 |; 0 &; 2 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 4 ^ 4 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_26,type,
singleton: $i > $i > $o ).
thf(decl_36,type,
esk1_0: $i ).
thf(singleton,axiom,
( singleton
= ( ^ [X1: $i,X4: $i] : ( X4 = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.96XP1CA5K4/E---3.1_30138.p',singleton) ).
thf(thm,conjecture,
! [X1: $i] :
? [X3: $i] : ( singleton @ X1 @ X3 ),
file('/export/starexec/sandbox/tmp/tmp.96XP1CA5K4/E---3.1_30138.p',thm) ).
thf(c_0_2,plain,
( singleton
= ( ^ [Z0: $i,Z1: $i] : Z1 ) ),
inference(fof_simplification,[status(thm)],[singleton]) ).
thf(c_0_3,negated_conjecture,
~ ! [X1: $i] :
? [X3: $i] : ( X3 = X1 ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]),c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X25: $i] : ( X25 != esk1_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i] : ( X1 != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET086^1 : TPTP v8.1.2. Released v3.6.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 09:52:18 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running higher-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.96XP1CA5K4/E---3.1_30138.p
% 0.19/0.48 # Version: 3.1.0-ho
% 0.19/0.48 # partial match(1): HSSSSMSSMLSNHSN
% 0.19/0.48 # Preprocessing class: HSSSSMSSMLSNHFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting new_ho_9 with 1500s (5) cores
% 0.19/0.48 # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.48 # Starting sh1l with 300s (1) cores
% 0.19/0.48 # Starting post_as_ho10 with 300s (1) cores
% 0.19/0.48 # sh1l with pid 30263 completed with status 0
% 0.19/0.48 # Result found by sh1l
% 0.19/0.48 # partial match(1): HSSSSMSSMLSNHSN
% 0.19/0.48 # Preprocessing class: HSSSSMSSMLSNHFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting new_ho_9 with 1500s (5) cores
% 0.19/0.48 # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.48 # Starting sh1l with 300s (1) cores
% 0.19/0.48 # No SInE strategy applied
% 0.19/0.48 # Search class: HUUPF-FFSF00-SHFSMFNN
% 0.19/0.48 # partial match(2): HUUNF-FFSF00-SHSSMFNN
% 0.19/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.48 # new_ho_10 with pid 30269 completed with status 0
% 0.19/0.48 # Result found by new_ho_10
% 0.19/0.48 # partial match(1): HSSSSMSSMLSNHSN
% 0.19/0.48 # Preprocessing class: HSSSSMSSMLSNHFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting new_ho_9 with 1500s (5) cores
% 0.19/0.48 # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.48 # Starting sh1l with 300s (1) cores
% 0.19/0.48 # No SInE strategy applied
% 0.19/0.48 # Search class: HUUPF-FFSF00-SHFSMFNN
% 0.19/0.48 # partial match(2): HUUNF-FFSF00-SHSSMFNN
% 0.19/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.48 # Preprocessing time : 0.001 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Theorem
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.48 # Parsed axioms : 29
% 0.19/0.48 # Removed by relevancy pruning/SinE : 0
% 0.19/0.48 # Initial clauses : 15
% 0.19/0.48 # Removed in clause preprocessing : 14
% 0.19/0.48 # Initial clauses in saturation : 1
% 0.19/0.48 # Processed clauses : 1
% 0.19/0.48 # ...of these trivial : 0
% 0.19/0.48 # ...subsumed : 0
% 0.19/0.48 # ...remaining for further processing : 1
% 0.19/0.48 # Other redundant clauses eliminated : 1
% 0.19/0.48 # Clauses deleted for lack of memory : 0
% 0.19/0.48 # Backward-subsumed : 0
% 0.19/0.48 # Backward-rewritten : 0
% 0.19/0.48 # Generated clauses : 1
% 0.19/0.48 # ...of the previous two non-redundant : 0
% 0.19/0.48 # ...aggressively subsumed : 0
% 0.19/0.48 # Contextual simplify-reflections : 0
% 0.19/0.48 # Paramodulations : 0
% 0.19/0.48 # Factorizations : 0
% 0.19/0.48 # NegExts : 0
% 0.19/0.48 # Equation resolutions : 1
% 0.19/0.48 # Disequality decompositions : 0
% 0.19/0.48 # Total rewrite steps : 0
% 0.19/0.48 # ...of those cached : 0
% 0.19/0.48 # Propositional unsat checks : 0
% 0.19/0.48 # Propositional check models : 0
% 0.19/0.48 # Propositional check unsatisfiable : 0
% 0.19/0.48 # Propositional clauses : 0
% 0.19/0.48 # Propositional clauses after purity: 0
% 0.19/0.48 # Propositional unsat core size : 0
% 0.19/0.48 # Propositional preprocessing time : 0.000
% 0.19/0.48 # Propositional encoding time : 0.000
% 0.19/0.48 # Propositional solver time : 0.000
% 0.19/0.48 # Success case prop preproc time : 0.000
% 0.19/0.48 # Success case prop encoding time : 0.000
% 0.19/0.48 # Success case prop solver time : 0.000
% 0.19/0.48 # Current number of processed clauses : 0
% 0.19/0.48 # Positive orientable unit clauses : 0
% 0.19/0.48 # Positive unorientable unit clauses: 0
% 0.19/0.48 # Negative unit clauses : 0
% 0.19/0.48 # Non-unit-clauses : 0
% 0.19/0.48 # Current number of unprocessed clauses: 0
% 0.19/0.48 # ...number of literals in the above : 0
% 0.19/0.48 # Current number of archived formulas : 0
% 0.19/0.48 # Current number of archived clauses : 0
% 0.19/0.48 # Clause-clause subsumption calls (NU) : 0
% 0.19/0.48 # Rec. Clause-clause subsumption calls : 0
% 0.19/0.48 # Non-unit clause-clause subsumptions : 0
% 0.19/0.48 # Unit Clause-clause subsumption calls : 0
% 0.19/0.48 # Rewrite failures with RHS unbound : 0
% 0.19/0.48 # BW rewrite match attempts : 0
% 0.19/0.48 # BW rewrite match successes : 0
% 0.19/0.48 # Condensation attempts : 1
% 0.19/0.48 # Condensation successes : 0
% 0.19/0.48 # Termbank termtop insertions : 612
% 0.19/0.48 # Search garbage collected termcells : 29
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.003 s
% 0.19/0.48 # System time : 0.001 s
% 0.19/0.48 # Total time : 0.004 s
% 0.19/0.48 # Maximum resident set size: 1764 pages
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.004 s
% 0.19/0.48 # System time : 0.003 s
% 0.19/0.48 # Total time : 0.007 s
% 0.19/0.48 # Maximum resident set size: 1748 pages
% 0.19/0.48 % E---3.1 exiting
% 0.19/0.48 % E exiting
%------------------------------------------------------------------------------