TSTP Solution File: SET764^4 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET764^4 : TPTP v8.1.2. 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 : Sat May 4 09:20:11 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : CNFRefutation 0.21s
% 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/tmp/tmp.yf2ZYS51Pq/E---3.1_6400.p',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/tmp/tmp.yf2ZYS51Pq/E---3.1_6400.p',fun_inv_image) ).
thf(thm,conjecture,
! [X22: $i > $i] :
( ( fun_inv_image @ X22 @ emptyset )
= emptyset ),
file('/export/starexec/sandbox/tmp/tmp.yf2ZYS51Pq/E---3.1_6400.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
% 0.12/0.13 % Problem : SET764^4 : TPTP v8.1.2. Released v3.6.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 10:38:21 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running higher-order theorem proving
% 0.21/0.48 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.yf2ZYS51Pq/E---3.1_6400.p
% 0.21/0.49 # Version: 3.1.0-ho
% 0.21/0.49 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.21/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting new_ho_9 with 1500s (5) cores
% 0.21/0.49 # Starting post_as_ho1 with 300s (1) cores
% 0.21/0.49 # Starting sh1l with 300s (1) cores
% 0.21/0.49 # Starting post_as_ho10 with 300s (1) cores
% 0.21/0.49 # post_as_ho1 with pid 6509 completed with status 0
% 0.21/0.49 # Result found by post_as_ho1
% 0.21/0.49 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.21/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting new_ho_9 with 1500s (5) cores
% 0.21/0.49 # Starting post_as_ho1 with 300s (1) cores
% 0.21/0.49 # No SInE strategy applied
% 0.21/0.49 # Search class: HUHPF-FFSF33-SHSSMSNN
% 0.21/0.49 # partial match(3): HUHPF-FFSF00-SHSSMFNN
% 0.21/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.49 # Starting new_ho_10 with 163s (1) cores
% 0.21/0.49 # new_ho_10 with pid 6515 completed with status 0
% 0.21/0.49 # Result found by new_ho_10
% 0.21/0.49 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.21/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting new_ho_9 with 1500s (5) cores
% 0.21/0.49 # Starting post_as_ho1 with 300s (1) cores
% 0.21/0.49 # No SInE strategy applied
% 0.21/0.49 # Search class: HUHPF-FFSF33-SHSSMSNN
% 0.21/0.49 # partial match(3): HUHPF-FFSF00-SHSSMFNN
% 0.21/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.49 # Starting new_ho_10 with 163s (1) cores
% 0.21/0.49 # Preprocessing time : 0.001 s
% 0.21/0.49 # Presaturation interreduction done
% 0.21/0.49
% 0.21/0.49 # Proof found!
% 0.21/0.49 # SZS status Theorem
% 0.21/0.49 # SZS output start CNFRefutation
% See solution above
% 0.21/0.49 # Parsed axioms : 45
% 0.21/0.49 # Removed by relevancy pruning/SinE : 0
% 0.21/0.49 # Initial clauses : 26
% 0.21/0.49 # Removed in clause preprocessing : 23
% 0.21/0.49 # Initial clauses in saturation : 3
% 0.21/0.49 # Processed clauses : 1
% 0.21/0.49 # ...of these trivial : 0
% 0.21/0.49 # ...subsumed : 0
% 0.21/0.49 # ...remaining for further processing : 0
% 0.21/0.49 # Other redundant clauses eliminated : 0
% 0.21/0.49 # Clauses deleted for lack of memory : 0
% 0.21/0.49 # Backward-subsumed : 0
% 0.21/0.49 # Backward-rewritten : 0
% 0.21/0.49 # Generated clauses : 0
% 0.21/0.49 # ...of the previous two non-redundant : 0
% 0.21/0.49 # ...aggressively subsumed : 0
% 0.21/0.49 # Contextual simplify-reflections : 0
% 0.21/0.49 # Paramodulations : 0
% 0.21/0.49 # Factorizations : 0
% 0.21/0.49 # NegExts : 0
% 0.21/0.49 # Equation resolutions : 0
% 0.21/0.49 # Disequality decompositions : 0
% 0.21/0.49 # Total rewrite steps : 0
% 0.21/0.49 # ...of those cached : 0
% 0.21/0.49 # Propositional unsat checks : 0
% 0.21/0.49 # Propositional check models : 0
% 0.21/0.49 # Propositional check unsatisfiable : 0
% 0.21/0.49 # Propositional clauses : 0
% 0.21/0.49 # Propositional clauses after purity: 0
% 0.21/0.49 # Propositional unsat core size : 0
% 0.21/0.49 # Propositional preprocessing time : 0.000
% 0.21/0.49 # Propositional encoding time : 0.000
% 0.21/0.49 # Propositional solver time : 0.000
% 0.21/0.49 # Success case prop preproc time : 0.000
% 0.21/0.49 # Success case prop encoding time : 0.000
% 0.21/0.49 # Success case prop solver time : 0.000
% 0.21/0.49 # Current number of processed clauses : 0
% 0.21/0.49 # Positive orientable unit clauses : 0
% 0.21/0.49 # Positive unorientable unit clauses: 0
% 0.21/0.49 # Negative unit clauses : 0
% 0.21/0.49 # Non-unit-clauses : 0
% 0.21/0.49 # Current number of unprocessed clauses: 2
% 0.21/0.49 # ...number of literals in the above : 2
% 0.21/0.49 # Current number of archived formulas : 0
% 0.21/0.49 # Current number of archived clauses : 0
% 0.21/0.49 # Clause-clause subsumption calls (NU) : 0
% 0.21/0.49 # Rec. Clause-clause subsumption calls : 0
% 0.21/0.49 # Non-unit clause-clause subsumptions : 0
% 0.21/0.49 # Unit Clause-clause subsumption calls : 0
% 0.21/0.49 # Rewrite failures with RHS unbound : 0
% 0.21/0.49 # BW rewrite match attempts : 0
% 0.21/0.49 # BW rewrite match successes : 0
% 0.21/0.49 # Condensation attempts : 1
% 0.21/0.49 # Condensation successes : 0
% 0.21/0.49 # Termbank termtop insertions : 1197
% 0.21/0.49 # Search garbage collected termcells : 137
% 0.21/0.49
% 0.21/0.49 # -------------------------------------------------
% 0.21/0.49 # User time : 0.000 s
% 0.21/0.49 # System time : 0.004 s
% 0.21/0.49 # Total time : 0.004 s
% 0.21/0.49 # Maximum resident set size: 1724 pages
% 0.21/0.49
% 0.21/0.49 # -------------------------------------------------
% 0.21/0.49 # User time : 0.002 s
% 0.21/0.49 # System time : 0.007 s
% 0.21/0.49 # Total time : 0.009 s
% 0.21/0.49 # Maximum resident set size: 1772 pages
% 0.21/0.49 % E---3.1 exiting
% 0.21/0.50 % E exiting
%------------------------------------------------------------------------------