TSTP Solution File: SYO098^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO098^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 08:44:39 EDT 2024
% Result : Theorem 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 3 unt; 3 typ; 0 def)
% Number of atoms : 20 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 9 ~; 4 |; 4 &; 46 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 0 ^ 14 !; 4 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
cQ: $i > $i > $o ).
thf(decl_23,type,
cR: $i > $i > $o ).
thf(decl_24,type,
esk1_2: $i > $i > $i ).
thf(cTHM65,conjecture,
( ! [X1: $i] :
~ ( cR @ X1 @ X1 )
=> ? [X2: $i,X3: $i] :
( ~ ( cR @ X2 @ X3 )
& ( ( cQ @ X3 @ X2 )
=> ! [X4: $i] : ( cQ @ X4 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM65) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: $i] :
~ ( cR @ X1 @ X1 )
=> ? [X2: $i,X3: $i] :
( ~ ( cR @ X2 @ X3 )
& ( ( cQ @ X3 @ X2 )
=> ! [X4: $i] : ( cQ @ X4 @ X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM65])]) ).
thf(c_0_2,negated_conjecture,
! [X9: $i,X10: $i,X11: $i] :
( ~ ( cR @ X9 @ X9 )
& ( ( cQ @ X11 @ X10 )
| ( cR @ X10 @ X11 ) )
& ( ~ ( cQ @ ( esk1_2 @ X10 @ X11 ) @ ( esk1_2 @ X10 @ X11 ) )
| ( cR @ X10 @ X11 ) ) ),
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_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cR @ X1 @ X2 )
| ~ ( cQ @ ( esk1_2 @ X1 @ X2 ) @ ( esk1_2 @ X1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X2: $i,X1: $i] :
( ( cQ @ X1 @ X2 )
| ( cR @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i] :
~ ( cR @ X1 @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i,X2: $i] : ( cR @ X1 @ X2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO098^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n018.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
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 09:06:37 EDT 2024
% 0.11/0.33 % 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: HSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.45 # Starting ho_unfolding_6 with 300s (1) cores
% 0.17/0.45 # Starting sh4l with 300s (1) cores
% 0.17/0.45 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.17/0.45 # ho_unfolding_6 with pid 22078 completed with status 0
% 0.17/0.45 # Result found by ho_unfolding_6
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.45 # Starting ho_unfolding_6 with 300s (1) cores
% 0.17/0.45 # No SInE strategy applied
% 0.17/0.45 # Search class: HGUNF-FFSF22-SFFFFFNN
% 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 22082 completed with status 0
% 0.17/0.45 # Result found by new_ho_10
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.45 # Starting ho_unfolding_6 with 300s (1) cores
% 0.17/0.45 # No SInE strategy applied
% 0.17/0.45 # Search class: HGUNF-FFSF22-SFFFFFNN
% 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 : 3
% 0.17/0.45 # Removed by relevancy pruning/SinE : 0
% 0.17/0.45 # Initial clauses : 5
% 0.17/0.45 # Removed in clause preprocessing : 2
% 0.17/0.45 # Initial clauses in saturation : 3
% 0.17/0.45 # Processed clauses : 7
% 0.17/0.45 # ...of these trivial : 0
% 0.17/0.45 # ...subsumed : 0
% 0.17/0.45 # ...remaining for further processing : 7
% 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 : 3
% 0.17/0.45 # Generated clauses : 1
% 0.17/0.45 # ...of the previous two non-redundant : 1
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 0
% 0.17/0.45 # Paramodulations : 1
% 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 : 3
% 0.17/0.45 # ...of those cached : 0
% 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 : 1
% 0.17/0.45 # Positive orientable unit clauses : 1
% 0.17/0.45 # Positive unorientable unit clauses: 0
% 0.17/0.45 # Negative unit clauses : 0
% 0.17/0.45 # Non-unit-clauses : 0
% 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 : 6
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 2
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 2
% 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 : 3
% 0.17/0.45 # BW rewrite match successes : 3
% 0.17/0.45 # Condensation attempts : 7
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 285
% 0.17/0.45 # Search garbage collected termcells : 85
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.003 s
% 0.17/0.45 # System time : 0.001 s
% 0.17/0.45 # Total time : 0.003 s
% 0.17/0.45 # Maximum resident set size: 1584 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.004 s
% 0.17/0.45 # System time : 0.002 s
% 0.17/0.45 # Total time : 0.006 s
% 0.17/0.45 # Maximum resident set size: 1692 pages
% 0.17/0.45 % E---3.1 exiting
% 0.17/0.46 % E exiting
%------------------------------------------------------------------------------