TSTP Solution File: SYN059^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYN059^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 07:42:52 EDT 2024
% Result : Theorem 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 5 unt; 9 typ; 0 def)
% Number of atoms : 148 ( 0 equ; 0 cnn)
% Maximal formula atoms : 74 ( 6 avg)
% Number of connectives : 336 ( 63 ~; 75 |; 35 &; 147 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 31 ( 0 ^ 27 !; 4 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
cJ: $i > $o ).
thf(decl_23,type,
cG: $i > $o ).
thf(decl_24,type,
cH: $i > $o ).
thf(decl_25,type,
cF: $i > $o ).
thf(decl_26,type,
esk1_0: $i ).
thf(decl_27,type,
esk2_0: $i ).
thf(decl_28,type,
esk3_0: $i ).
thf(decl_29,type,
esk4_0: $i ).
thf(decl_30,type,
esk5_0: $i ).
thf(cPELL29,conjecture,
( ( ? [X1: $i] : ( cF @ X1 )
& ? [X1: $i] : ( cG @ X1 ) )
=> ( ( ( ! [X1: $i] :
( ( cF @ X1 )
=> ( cH @ X1 ) )
& ! [X1: $i] :
( ( cG @ X1 )
=> ( cJ @ X1 ) ) )
=> ! [X1: $i,X2: $i] :
( ( ( cF @ X1 )
& ( cG @ X2 ) )
=> ( ( cH @ X1 )
& ( cJ @ X2 ) ) ) )
& ( ! [X1: $i,X2: $i] :
( ( ( cF @ X1 )
& ( cG @ X2 ) )
=> ( ( cH @ X1 )
& ( cJ @ X2 ) ) )
=> ! [X1: $i] :
( ( cG @ X1 )
=> ( cJ @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPELL29) ).
thf(c_0_1,negated_conjecture,
~ ( ( ? [X1: $i] : ( cF @ X1 )
& ? [X1: $i] : ( cG @ X1 ) )
=> ( ( ( ! [X1: $i] :
( ( cF @ X1 )
=> ( cH @ X1 ) )
& ! [X1: $i] :
( ( cG @ X1 )
=> ( cJ @ X1 ) ) )
=> ! [X1: $i,X2: $i] :
( ( ( cF @ X1 )
& ( cG @ X2 ) )
=> ( ( cH @ X1 )
& ( cJ @ X2 ) ) ) )
& ( ! [X1: $i,X2: $i] :
( ( ( cF @ X1 )
& ( cG @ X2 ) )
=> ( ( cH @ X1 )
& ( cJ @ X2 ) ) )
=> ! [X1: $i] :
( ( cG @ X1 )
=> ( cJ @ X1 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cPELL29]) ).
thf(c_0_2,negated_conjecture,
! [X14: $i,X15: $i,X18: $i,X19: $i] :
( ( cF @ esk1_0 )
& ( cG @ esk2_0 )
& ( ( cH @ X18 )
| ~ ( cF @ X18 )
| ~ ( cG @ X19 )
| ~ ( cF @ X14 )
| ( cH @ X14 ) )
& ( ( cJ @ X19 )
| ~ ( cF @ X18 )
| ~ ( cG @ X19 )
| ~ ( cF @ X14 )
| ( cH @ X14 ) )
& ( ( cG @ esk5_0 )
| ~ ( cF @ X14 )
| ( cH @ X14 ) )
& ( ~ ( cJ @ esk5_0 )
| ~ ( cF @ X14 )
| ( cH @ X14 ) )
& ( ( cH @ X18 )
| ~ ( cF @ X18 )
| ~ ( cG @ X19 )
| ~ ( cG @ X15 )
| ( cJ @ X15 ) )
& ( ( cJ @ X19 )
| ~ ( cF @ X18 )
| ~ ( cG @ X19 )
| ~ ( cG @ X15 )
| ( cJ @ X15 ) )
& ( ( cG @ esk5_0 )
| ~ ( cG @ X15 )
| ( cJ @ X15 ) )
& ( ~ ( cJ @ esk5_0 )
| ~ ( cG @ X15 )
| ( cJ @ X15 ) )
& ( ( cH @ X18 )
| ~ ( cF @ X18 )
| ~ ( cG @ X19 )
| ( cF @ esk3_0 ) )
& ( ( cJ @ X19 )
| ~ ( cF @ X18 )
| ~ ( cG @ X19 )
| ( cF @ esk3_0 ) )
& ( ( cG @ esk5_0 )
| ( cF @ esk3_0 ) )
& ( ~ ( cJ @ esk5_0 )
| ( cF @ esk3_0 ) )
& ( ( cH @ X18 )
| ~ ( cF @ X18 )
| ~ ( cG @ X19 )
| ( cG @ esk4_0 ) )
& ( ( cJ @ X19 )
| ~ ( cF @ X18 )
| ~ ( cG @ X19 )
| ( cG @ esk4_0 ) )
& ( ( cG @ esk5_0 )
| ( cG @ esk4_0 ) )
& ( ~ ( cJ @ esk5_0 )
| ( cG @ esk4_0 ) )
& ( ( cH @ X18 )
| ~ ( cF @ X18 )
| ~ ( cG @ X19 )
| ~ ( cH @ esk3_0 )
| ~ ( cJ @ esk4_0 ) )
& ( ( cJ @ X19 )
| ~ ( cF @ X18 )
| ~ ( cG @ X19 )
| ~ ( cH @ esk3_0 )
| ~ ( cJ @ esk4_0 ) )
& ( ( cG @ esk5_0 )
| ~ ( cH @ esk3_0 )
| ~ ( cJ @ esk4_0 ) )
& ( ~ ( cJ @ esk5_0 )
| ~ ( cH @ esk3_0 )
| ~ ( cJ @ esk4_0 ) ) ),
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,X3: $i] :
( ( cJ @ X1 )
| ( cJ @ X3 )
| ~ ( cF @ X2 )
| ~ ( cG @ X1 )
| ~ ( cG @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( cG @ esk5_0 )
| ~ ( cH @ esk3_0 )
| ~ ( cJ @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i] :
( ( cG @ esk5_0 )
| ( cH @ X1 )
| ~ ( cF @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
( ( cG @ esk5_0 )
| ( cF @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cJ @ X1 )
| ~ ( cG @ X1 )
| ~ ( cF @ X2 ) ),
inference(condense,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
cF @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
( ( cG @ esk5_0 )
| ~ ( cJ @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).
thf(c_0_10,negated_conjecture,
! [X1: $i] :
( ( cG @ esk5_0 )
| ( cJ @ X1 )
| ~ ( cG @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
( ( cG @ esk5_0 )
| ( cG @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
( ~ ( cJ @ esk5_0 )
| ~ ( cH @ esk3_0 )
| ~ ( cJ @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
! [X1: $i] :
( ( cH @ X1 )
| ~ ( cJ @ esk5_0 )
| ~ ( cF @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_14,negated_conjecture,
( ( cF @ esk3_0 )
| ~ ( cJ @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_15,negated_conjecture,
( ( cG @ esk4_0 )
| ~ ( cJ @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_16,negated_conjecture,
! [X1: $i] :
( ( cJ @ X1 )
| ~ ( cG @ X1 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_17,negated_conjecture,
cG @ esk5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
thf(c_0_18,negated_conjecture,
( ~ ( cJ @ esk4_0 )
| ~ ( cJ @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
thf(c_0_19,negated_conjecture,
cG @ esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
thf(c_0_20,negated_conjecture,
~ ( cJ @ esk5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_16]),c_0_19])]) ).
thf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN059^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n016.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon May 20 13:53:38 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.43 Running higher-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 # Version: 3.1.0-ho
% 0.16/0.44 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.44 # Starting ho_unfolding_6 with 300s (1) cores
% 0.16/0.44 # Starting sh4l with 300s (1) cores
% 0.16/0.44 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.16/0.44 # ho_unfolding_6 with pid 9673 completed with status 0
% 0.16/0.44 # Result found by ho_unfolding_6
% 0.16/0.44 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.44 # Starting ho_unfolding_6 with 300s (1) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: HGHNF-FFSS00-SFFFFFNN
% 0.16/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting new_ho_10 with 163s (1) cores
% 0.16/0.44 # new_ho_10 with pid 9676 completed with status 0
% 0.16/0.44 # Result found by new_ho_10
% 0.16/0.44 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.44 # Starting ho_unfolding_6 with 300s (1) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: HGHNF-FFSS00-SFFFFFNN
% 0.16/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting new_ho_10 with 163s (1) cores
% 0.16/0.44 # Preprocessing time : 0.001 s
% 0.16/0.44 # Presaturation interreduction done
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Theorem
% 0.16/0.44 # SZS output start CNFRefutation
% See solution above
% 0.16/0.44 # Parsed axioms : 5
% 0.16/0.44 # Removed by relevancy pruning/SinE : 0
% 0.16/0.44 # Initial clauses : 26
% 0.16/0.44 # Removed in clause preprocessing : 4
% 0.16/0.44 # Initial clauses in saturation : 22
% 0.16/0.44 # Processed clauses : 44
% 0.16/0.44 # ...of these trivial : 0
% 0.16/0.44 # ...subsumed : 2
% 0.16/0.44 # ...remaining for further processing : 42
% 0.16/0.44 # Other redundant clauses eliminated : 0
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 13
% 0.16/0.44 # Backward-rewritten : 7
% 0.16/0.44 # Generated clauses : 15
% 0.16/0.44 # ...of the previous two non-redundant : 12
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 3
% 0.16/0.44 # Paramodulations : 15
% 0.16/0.44 # Factorizations : 0
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 0
% 0.16/0.44 # Disequality decompositions : 0
% 0.16/0.44 # Total rewrite steps : 11
% 0.16/0.44 # ...of those cached : 8
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 8
% 0.16/0.44 # Positive orientable unit clauses : 5
% 0.16/0.44 # Positive unorientable unit clauses: 0
% 0.16/0.44 # Negative unit clauses : 1
% 0.16/0.44 # Non-unit-clauses : 2
% 0.16/0.44 # Current number of unprocessed clauses: 1
% 0.16/0.44 # ...number of literals in the above : 2
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 34
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 22
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 21
% 0.16/0.44 # Non-unit clause-clause subsumptions : 21
% 0.16/0.44 # Unit Clause-clause subsumption calls : 1
% 0.16/0.44 # Rewrite failures with RHS unbound : 0
% 0.16/0.44 # BW rewrite match attempts : 3
% 0.16/0.44 # BW rewrite match successes : 3
% 0.16/0.44 # Condensation attempts : 44
% 0.16/0.44 # Condensation successes : 4
% 0.16/0.44 # Termbank termtop insertions : 1482
% 0.16/0.44 # Search garbage collected termcells : 296
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.005 s
% 0.16/0.44 # System time : 0.001 s
% 0.16/0.44 # Total time : 0.006 s
% 0.16/0.44 # Maximum resident set size: 1772 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.007 s
% 0.16/0.44 # System time : 0.001 s
% 0.16/0.44 # Total time : 0.008 s
% 0.16/0.44 # Maximum resident set size: 1696 pages
% 0.16/0.44 % E---3.1 exiting
% 0.16/0.44 % E exiting
%------------------------------------------------------------------------------