TSTP Solution File: SYO892^15 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO892^15 : TPTP v8.2.0. Released v8.1.0.
% 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 08:50:30 EDT 2024
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 32 ( 12 unt; 11 typ; 0 def)
% Number of atoms : 59 ( 8 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 127 ( 13 ~; 9 |; 8 &; 89 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 40 ( 18 ^ 18 !; 4 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_22,type,
mrel: mworld > mworld > $o ).
thf(decl_23,type,
mactual: mworld ).
thf(decl_24,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_28,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_31,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(decl_32,type,
eiw_di: $i > mworld > $o ).
thf(decl_33,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(decl_35,type,
f: $i > mworld > $o ).
thf(decl_36,type,
esk1_0: mworld ).
thf(decl_37,type,
esk2_0: $i ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [X1: mworld > $o,X3: mworld] :
? [X5: mworld] :
( ( mrel @ X3 @ X5 )
& ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_def) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [X7: $i > mworld > $o,X3: mworld] :
! [X6: $i] :
( ( eiw_di @ X6 @ X3 )
=> ( X7 @ X6 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di_def) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies_def) ).
thf(con,conjecture,
( mlocal
@ ( mimplies
@ ( mdia
@ ( mforall_di
@ ^ [X6: $i] : ( f @ X6 ) ) )
@ ( mforall_di
@ ^ [X6: $i] : ( mdia @ ( f @ X6 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(eiw_di_cumul,axiom,
! [X3: mworld,X5: mworld,X6: $i] :
( ( ( eiw_di @ X6 @ X3 )
& ( mrel @ X3 @ X5 ) )
=> ( eiw_di @ X6 @ X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_cumul) ).
thf(c_0_6,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_7,plain,
( mdia
= ( ^ [Z0: mworld > $o,Z1: mworld] :
? [X5: mworld] :
( ( mrel @ Z1 @ X5 )
& ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia_def]) ).
thf(c_0_8,plain,
( mforall_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
! [X6: $i] :
( ( eiw_di @ X6 @ Z1 )
=> ( Z0 @ X6 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mforall_di_def]) ).
thf(c_0_9,plain,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_10,negated_conjecture,
~ ( ? [X17: mworld] :
( ( mrel @ mactual @ X17 )
& ! [X16: $i] :
( ( eiw_di @ X16 @ X17 )
=> ( f @ X16 @ X17 ) ) )
=> ! [X19: $i] :
( ( eiw_di @ X19 @ mactual )
=> ? [X18: mworld] :
( ( mrel @ mactual @ X18 )
& ( f @ X19 @ X18 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]),c_0_6]),c_0_7]),c_0_8]),c_0_9]) ).
thf(c_0_11,negated_conjecture,
! [X21: $i,X23: mworld] :
( ( mrel @ mactual @ esk1_0 )
& ( ~ ( eiw_di @ X21 @ esk1_0 )
| ( f @ X21 @ esk1_0 ) )
& ( eiw_di @ esk2_0 @ mactual )
& ( ~ ( mrel @ mactual @ X23 )
| ~ ( f @ esk2_0 @ X23 ) ) ),
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_10])])])])]) ).
thf(c_0_12,plain,
! [X26: mworld,X27: mworld,X28: $i] :
( ~ ( eiw_di @ X28 @ X26 )
| ~ ( mrel @ X26 @ X27 )
| ( eiw_di @ X28 @ X27 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[eiw_di_cumul])])]) ).
thf(c_0_13,negated_conjecture,
! [X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( f @ esk2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_14,negated_conjecture,
! [X6: $i] :
( ( f @ X6 @ esk1_0 )
| ~ ( eiw_di @ X6 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_15,negated_conjecture,
mrel @ mactual @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_16,plain,
! [X3: mworld,X6: $i,X5: mworld] :
( ( eiw_di @ X6 @ X5 )
| ~ ( eiw_di @ X6 @ X3 )
| ~ ( mrel @ X3 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
~ ( eiw_di @ esk2_0 @ esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
thf(c_0_18,negated_conjecture,
! [X6: $i] :
( ( eiw_di @ X6 @ esk1_0 )
| ~ ( eiw_di @ X6 @ mactual ) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
thf(c_0_19,negated_conjecture,
eiw_di @ esk2_0 @ mactual,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO892^15 : TPTP v8.2.0. Released v8.1.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 09:33:52 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running higher-order theorem proving
% 0.19/0.48 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
% 0.19/0.50 # Version: 3.1.0-ho
% 0.19/0.50 # Preprocessing class: HSSSSMSSMLMNHSN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_2 with 300s (1) cores
% 0.19/0.50 # sh5l with pid 32185 completed with status 0
% 0.19/0.50 # Result found by sh5l
% 0.19/0.50 # Preprocessing class: HSSSSMSSMLMNHSN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50 # Search class: HHHNS-FFSF11-SHSSMFNN
% 0.19/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting new_ho_10 with 181s (1) cores
% 0.19/0.50 # new_ho_10 with pid 32189 completed with status 0
% 0.19/0.50 # Result found by new_ho_10
% 0.19/0.50 # Preprocessing class: HSSSSMSSMLMNHSN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50 # Search class: HHHNS-FFSF11-SHSSMFNN
% 0.19/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting new_ho_10 with 181s (1) cores
% 0.19/0.50 # Preprocessing time : 0.001 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Theorem
% 0.19/0.50 # SZS output start CNFRefutation
% See solution above
% 0.19/0.50 # Parsed axioms : 29
% 0.19/0.50 # Removed by relevancy pruning/SinE : 19
% 0.19/0.50 # Initial clauses : 7
% 0.19/0.50 # Removed in clause preprocessing : 0
% 0.19/0.50 # Initial clauses in saturation : 7
% 0.19/0.50 # Processed clauses : 16
% 0.19/0.50 # ...of these trivial : 0
% 0.19/0.50 # ...subsumed : 0
% 0.19/0.50 # ...remaining for further processing : 16
% 0.19/0.50 # Other redundant clauses eliminated : 0
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 0
% 0.19/0.50 # Backward-rewritten : 0
% 0.19/0.50 # Generated clauses : 4
% 0.19/0.50 # ...of the previous two non-redundant : 3
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 0
% 0.19/0.50 # Paramodulations : 4
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 0
% 0.19/0.50 # Disequality decompositions : 0
% 0.19/0.50 # Total rewrite steps : 2
% 0.19/0.50 # ...of those cached : 0
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 9
% 0.19/0.50 # Positive orientable unit clauses : 4
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 1
% 0.19/0.50 # Non-unit-clauses : 4
% 0.19/0.50 # Current number of unprocessed clauses: 1
% 0.19/0.50 # ...number of literals in the above : 2
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 7
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 0
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 0
% 0.19/0.50 # Non-unit clause-clause subsumptions : 0
% 0.19/0.50 # Unit Clause-clause subsumption calls : 0
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 0
% 0.19/0.50 # BW rewrite match successes : 0
% 0.19/0.50 # Condensation attempts : 16
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 919
% 0.19/0.50 # Search garbage collected termcells : 288
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.004 s
% 0.19/0.50 # System time : 0.002 s
% 0.19/0.50 # Total time : 0.005 s
% 0.19/0.50 # Maximum resident set size: 1892 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.005 s
% 0.19/0.50 # System time : 0.003 s
% 0.19/0.50 # Total time : 0.009 s
% 0.19/0.50 # Maximum resident set size: 1744 pages
% 0.19/0.50 % E---3.1 exiting
% 0.19/0.50 % E exiting
%------------------------------------------------------------------------------