TSTP Solution File: SET096^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET096^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : Tue May 21 02:53:09 EDT 2024
% Result : Theorem 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 49 ( 20 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 61 ( 15 ~; 12 |; 4 &; 23 @)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 10 ^ 12 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_24,type,
emptyset: $i > $o ).
thf(decl_26,type,
singleton: $i > $i > $o ).
thf(decl_33,type,
subset: ( $i > $o ) > ( $i > $o ) > $o ).
thf(decl_36,type,
epred1_0: $i > $o ).
thf(decl_37,type,
esk1_0: $i ).
thf(decl_38,type,
esk2_0: $i ).
thf(decl_39,type,
esk3_0: $i ).
thf(emptyset,axiom,
( emptyset
= ( ^ [X1: $i] : ~ $true ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET008^0.ax',emptyset) ).
thf(singleton,axiom,
( singleton
= ( ^ [X1: $i,X4: $i] : ( X4 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET008^0.ax',singleton) ).
thf(subset,axiom,
( subset
= ( ^ [X16: $i > $o,X17: $i > $o] :
! [X4: $i] :
( ( X16 @ X4 )
=> ( X17 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET008^0.ax',subset) ).
thf(thm,conjecture,
! [X22: $i > $o,X3: $i] :
( ( subset @ X22 @ ( singleton @ X3 ) )
=> ( ( X22 = emptyset )
| ( X22
= ( singleton @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(c_0_4,plain,
( emptyset
= ( ^ [Z0: $i] : ~ $true ) ),
inference(fof_simplification,[status(thm)],[emptyset]) ).
thf(c_0_5,plain,
( singleton
= ( ^ [Z0: $i,Z1: $i] : Z1 ) ),
inference(fof_simplification,[status(thm)],[singleton]) ).
thf(c_0_6,plain,
( subset
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[subset]) ).
thf(c_0_7,negated_conjecture,
~ ! [X22: $i > $o,X3: $i] :
( ! [X25: $i] :
( ( X22 @ X25 )
=> ( X25 = X3 ) )
=> ( ! [X26: $i] :
( ( X22 @ X26 )
<=> ~ $true )
| ! [X27: $i] :
( ( X22 @ X27 )
<=> ( X27 = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]),c_0_4]),c_0_5]),c_0_6])]) ).
thf(c_0_8,negated_conjecture,
! [X30: $i] :
( ( ~ ( epred1_0 @ X30 )
| ( X30 = esk1_0 ) )
& ( ~ ( epred1_0 @ esk2_0 )
| $true )
& ( ( epred1_0 @ esk2_0 )
| ~ $true )
& ( ~ ( epred1_0 @ esk3_0 )
| ( esk3_0 != esk1_0 ) )
& ( ( epred1_0 @ esk3_0 )
| ( esk3_0 = esk1_0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
thf(c_0_9,negated_conjecture,
! [X1: $i] :
( ( X1 = esk1_0 )
| ~ ( epred1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_10,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( esk3_0 = esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_11,negated_conjecture,
esk1_0 = esk3_0,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_12,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,negated_conjecture,
! [X1: $i] :
( ( X1 = esk3_0 )
| ~ ( epred1_0 @ X1 ) ),
inference(rw,[status(thm)],[c_0_9,c_0_11]) ).
thf(c_0_14,negated_conjecture,
epred1_0 @ esk2_0,
inference(cn,[status(thm)],[c_0_12]) ).
thf(c_0_15,negated_conjecture,
( ~ ( epred1_0 @ esk3_0 )
| ( esk3_0 != esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_16,negated_conjecture,
esk2_0 = esk3_0,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_17,negated_conjecture,
~ ( epred1_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11])]) ).
thf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET096^1 : TPTP v8.2.0. Released v3.6.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 13:03:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running higher-order theorem proving
% 0.17/0.44 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/benchmark/theBenchmark.p
% 0.17/0.45 # Version: 3.1.0-ho
% 0.17/0.45 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_9 with 1500s (5) cores
% 0.17/0.45 # Starting post_as_ho1 with 300s (1) cores
% 0.17/0.45 # Starting sh1l with 300s (1) cores
% 0.17/0.45 # Starting post_as_ho10 with 300s (1) cores
% 0.17/0.45 # sh1l with pid 22180 completed with status 0
% 0.17/0.45 # Result found by sh1l
% 0.17/0.45 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_9 with 1500s (5) cores
% 0.17/0.45 # Starting post_as_ho1 with 300s (1) cores
% 0.17/0.45 # Starting sh1l with 300s (1) cores
% 0.17/0.45 # No SInE strategy applied
% 0.17/0.45 # Search class: HGHSF-FFSF00-SHSSMFNN
% 0.17/0.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting new_ho_10 with 163s (1) cores
% 0.17/0.45 # new_ho_10 with pid 22182 completed with status 0
% 0.17/0.45 # Result found by new_ho_10
% 0.17/0.45 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_9 with 1500s (5) cores
% 0.17/0.45 # Starting post_as_ho1 with 300s (1) cores
% 0.17/0.45 # Starting sh1l with 300s (1) cores
% 0.17/0.45 # No SInE strategy applied
% 0.17/0.45 # Search class: HGHSF-FFSF00-SHSSMFNN
% 0.17/0.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting new_ho_10 with 163s (1) cores
% 0.17/0.45 # Preprocessing time : 0.001 s
% 0.17/0.45 # Presaturation interreduction done
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Theorem
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 29
% 0.17/0.45 # Removed by relevancy pruning/SinE : 0
% 0.17/0.45 # Initial clauses : 19
% 0.17/0.45 # Removed in clause preprocessing : 15
% 0.17/0.45 # Initial clauses in saturation : 4
% 0.17/0.45 # Processed clauses : 12
% 0.17/0.45 # ...of these trivial : 0
% 0.17/0.45 # ...subsumed : 0
% 0.17/0.45 # ...remaining for further processing : 12
% 0.17/0.45 # Other redundant clauses eliminated : 0
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 0
% 0.17/0.45 # Backward-rewritten : 4
% 0.17/0.45 # Generated clauses : 4
% 0.17/0.45 # ...of the previous two non-redundant : 5
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 0
% 0.17/0.45 # Paramodulations : 4
% 0.17/0.45 # Factorizations : 0
% 0.17/0.45 # NegExts : 0
% 0.17/0.45 # Equation resolutions : 0
% 0.17/0.45 # Disequality decompositions : 0
% 0.17/0.45 # Total rewrite steps : 4
% 0.17/0.45 # ...of those cached : 2
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 4
% 0.17/0.45 # Positive orientable unit clauses : 2
% 0.17/0.45 # Positive unorientable unit clauses: 0
% 0.17/0.45 # Negative unit clauses : 1
% 0.17/0.45 # Non-unit-clauses : 1
% 0.17/0.45 # Current number of unprocessed clauses: 0
% 0.17/0.45 # ...number of literals in the above : 0
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 8
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 0
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 0
% 0.17/0.45 # Non-unit clause-clause subsumptions : 0
% 0.17/0.45 # Unit Clause-clause subsumption calls : 0
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 2
% 0.17/0.45 # BW rewrite match successes : 2
% 0.17/0.45 # Condensation attempts : 12
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 1003
% 0.17/0.45 # Search garbage collected termcells : 200
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.003 s
% 0.17/0.45 # System time : 0.002 s
% 0.17/0.45 # Total time : 0.005 s
% 0.17/0.45 # Maximum resident set size: 1692 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.004 s
% 0.17/0.45 # System time : 0.004 s
% 0.17/0.45 # Total time : 0.008 s
% 0.17/0.45 # Maximum resident set size: 1752 pages
% 0.17/0.45 % E---3.1 exiting
% 0.17/0.46 % E exiting
%------------------------------------------------------------------------------