TSTP Solution File: SET764^4 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET764^4 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 02:55:34 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 14 ( 6 unt; 5 typ; 0 def)
% Number of atoms : 29 ( 10 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 31 ( 11 ~; 5 |; 5 &; 9 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 15 ( 8 ^ 4 !; 3 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_24,type,
emptyset: $i > $o ).
thf(decl_38,type,
fun_inv_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).
thf(decl_44,type,
esk1_0: $i > $i ).
thf(decl_45,type,
esk2_0: $i ).
thf(decl_46,type,
esk3_0: $i ).
thf(emptyset,axiom,
( emptyset
= ( ^ [X1: $i] : ~ $true ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET008^0.ax',emptyset) ).
thf(fun_inv_image,axiom,
( fun_inv_image
= ( ^ [X22: $i > $i,X25: $i > $o,X1: $i] :
? [X3: $i] :
( ( X25 @ X3 )
& ( X3
= ( X22 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET008^1.ax',fun_inv_image) ).
thf(thm,conjecture,
! [X22: $i > $i] :
( ( fun_inv_image @ X22 @ emptyset )
= emptyset ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(c_0_3,plain,
( emptyset
= ( ^ [Z0: $i] : ~ $true ) ),
inference(fof_simplification,[status(thm)],[emptyset]) ).
thf(c_0_4,plain,
( fun_inv_image
= ( ^ [Z0: $i > $i,Z1: $i > $o,Z2: $i] :
? [X3: $i] :
( ( Z1 @ X3 )
& ( X3
= ( Z0 @ Z2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fun_inv_image]) ).
thf(c_0_5,negated_conjecture,
~ ! [X22: $i > $i,X36: $i] :
( ? [X32: $i] :
( ~ $true
& ( X32
= ( X22 @ X36 ) ) )
<=> ~ $true ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]),c_0_3]),c_0_4])]) ).
thf(c_0_6,negated_conjecture,
! [X42: $i] :
( ( $true
| ( X42
!= ( esk1_0 @ esk2_0 ) )
| $true )
& ( ~ $true
| ~ $true )
& ( ( esk3_0
= ( esk1_0 @ esk2_0 ) )
| ~ $true ) ),
inference(distribute,[status(thm)],[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_5])])])])])]) ).
thf(c_0_7,negated_conjecture,
( ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET764^4 : TPTP v8.2.0. Released v3.6.0.
% 0.05/0.10 % Command : run_E %s %d THM
% 0.10/0.29 % Computer : n015.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 20 12:30:08 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.14/0.37 Running higher-order theorem proving
% 0.14/0.37 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
% 0.14/0.38 # Version: 3.1.0-ho
% 0.14/0.38 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.14/0.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.38 # Starting new_ho_9 with 1500s (5) cores
% 0.14/0.38 # Starting post_as_ho1 with 300s (1) cores
% 0.14/0.38 # Starting sh1l with 300s (1) cores
% 0.14/0.38 # Starting post_as_ho10 with 300s (1) cores
% 0.14/0.38 # post_as_ho10 with pid 1436 completed with status 0
% 0.14/0.38 # Result found by post_as_ho10
% 0.14/0.38 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.14/0.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.38 # Starting new_ho_9 with 1500s (5) cores
% 0.14/0.38 # Starting post_as_ho1 with 300s (1) cores
% 0.14/0.38 # Starting sh1l with 300s (1) cores
% 0.14/0.38 # Starting post_as_ho10 with 300s (1) cores
% 0.14/0.38 # No SInE strategy applied
% 0.14/0.38 # Search class: HUHPF-FFSF33-SHSSMSNN
% 0.14/0.38 # partial match(3): HUHPF-FFSF00-SHSSMFNN
% 0.14/0.38 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.38 # Starting new_ho_10 with 163s (1) cores
% 0.14/0.38 # new_ho_10 with pid 1440 completed with status 0
% 0.14/0.38 # Result found by new_ho_10
% 0.14/0.38 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.14/0.38 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.38 # Starting new_ho_9 with 1500s (5) cores
% 0.14/0.38 # Starting post_as_ho1 with 300s (1) cores
% 0.14/0.38 # Starting sh1l with 300s (1) cores
% 0.14/0.38 # Starting post_as_ho10 with 300s (1) cores
% 0.14/0.38 # No SInE strategy applied
% 0.14/0.38 # Search class: HUHPF-FFSF33-SHSSMSNN
% 0.14/0.38 # partial match(3): HUHPF-FFSF00-SHSSMFNN
% 0.14/0.38 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.38 # Starting new_ho_10 with 163s (1) cores
% 0.14/0.38 # Preprocessing time : 0.001 s
% 0.14/0.38 # Presaturation interreduction done
% 0.14/0.38
% 0.14/0.38 # Proof found!
% 0.14/0.38 # SZS status Theorem
% 0.14/0.38 # SZS output start CNFRefutation
% See solution above
% 0.14/0.38 # Parsed axioms : 45
% 0.14/0.38 # Removed by relevancy pruning/SinE : 0
% 0.14/0.38 # Initial clauses : 26
% 0.14/0.38 # Removed in clause preprocessing : 23
% 0.14/0.38 # Initial clauses in saturation : 3
% 0.14/0.38 # Processed clauses : 1
% 0.14/0.38 # ...of these trivial : 0
% 0.14/0.38 # ...subsumed : 0
% 0.14/0.38 # ...remaining for further processing : 0
% 0.14/0.38 # Other redundant clauses eliminated : 0
% 0.14/0.38 # Clauses deleted for lack of memory : 0
% 0.14/0.38 # Backward-subsumed : 0
% 0.14/0.38 # Backward-rewritten : 0
% 0.14/0.38 # Generated clauses : 0
% 0.14/0.38 # ...of the previous two non-redundant : 0
% 0.14/0.38 # ...aggressively subsumed : 0
% 0.14/0.38 # Contextual simplify-reflections : 0
% 0.14/0.38 # Paramodulations : 0
% 0.14/0.38 # Factorizations : 0
% 0.14/0.38 # NegExts : 0
% 0.14/0.38 # Equation resolutions : 0
% 0.14/0.38 # Disequality decompositions : 0
% 0.14/0.38 # Total rewrite steps : 0
% 0.14/0.38 # ...of those cached : 0
% 0.14/0.38 # Propositional unsat checks : 0
% 0.14/0.38 # Propositional check models : 0
% 0.14/0.38 # Propositional check unsatisfiable : 0
% 0.14/0.38 # Propositional clauses : 0
% 0.14/0.38 # Propositional clauses after purity: 0
% 0.14/0.38 # Propositional unsat core size : 0
% 0.14/0.38 # Propositional preprocessing time : 0.000
% 0.14/0.38 # Propositional encoding time : 0.000
% 0.14/0.38 # Propositional solver time : 0.000
% 0.14/0.38 # Success case prop preproc time : 0.000
% 0.14/0.38 # Success case prop encoding time : 0.000
% 0.14/0.38 # Success case prop solver time : 0.000
% 0.14/0.38 # Current number of processed clauses : 0
% 0.14/0.38 # Positive orientable unit clauses : 0
% 0.14/0.38 # Positive unorientable unit clauses: 0
% 0.14/0.38 # Negative unit clauses : 0
% 0.14/0.38 # Non-unit-clauses : 0
% 0.14/0.38 # Current number of unprocessed clauses: 2
% 0.14/0.38 # ...number of literals in the above : 2
% 0.14/0.38 # Current number of archived formulas : 0
% 0.14/0.38 # Current number of archived clauses : 0
% 0.14/0.38 # Clause-clause subsumption calls (NU) : 0
% 0.14/0.38 # Rec. Clause-clause subsumption calls : 0
% 0.14/0.38 # Non-unit clause-clause subsumptions : 0
% 0.14/0.38 # Unit Clause-clause subsumption calls : 0
% 0.14/0.38 # Rewrite failures with RHS unbound : 0
% 0.14/0.38 # BW rewrite match attempts : 0
% 0.14/0.38 # BW rewrite match successes : 0
% 0.14/0.38 # Condensation attempts : 1
% 0.14/0.38 # Condensation successes : 0
% 0.14/0.38 # Termbank termtop insertions : 1197
% 0.14/0.38 # Search garbage collected termcells : 137
% 0.14/0.38
% 0.14/0.38 # -------------------------------------------------
% 0.14/0.38 # User time : 0.002 s
% 0.14/0.38 # System time : 0.001 s
% 0.14/0.38 # Total time : 0.003 s
% 0.14/0.38 # Maximum resident set size: 1724 pages
% 0.14/0.38
% 0.14/0.38 # -------------------------------------------------
% 0.14/0.38 # User time : 0.004 s
% 0.14/0.38 # System time : 0.001 s
% 0.14/0.38 # Total time : 0.005 s
% 0.14/0.38 # Maximum resident set size: 1780 pages
% 0.14/0.38 % E---3.1 exiting
% 0.14/0.38 % E exiting
%------------------------------------------------------------------------------