TSTP Solution File: LCL588^1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : LCL588^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 : Mon Jun 24 10:45:28 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 13 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 115 ( 18 ~; 14 |; 6 &; 73 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 47 ( 32 ^ 12 !; 3 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_28,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_29,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_31,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_33,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_34,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_37,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_41,type,
a: $i > $o ).
thf(decl_42,type,
b: $i > $o ).
thf(decl_43,type,
r: $i > $i > $o ).
thf(decl_44,type,
esk1_0: $i ).
thf(decl_45,type,
esk2_0: $i ).
thf(mimpl,axiom,
( mimpl
= ( ^ [X7: $i > $o,X8: $i > $o] : ( mor @ ( mnot @ X7 ) @ X8 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wMcDGCTCcB/E---3.1_10928.p',mimpl) ).
thf(mnot,axiom,
( mnot
= ( ^ [X2: $i > $o,X3: $i] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wMcDGCTCcB/E---3.1_10928.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
( ( X4 @ X3 )
| ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wMcDGCTCcB/E---3.1_10928.p',mor) ).
thf(mbox,axiom,
( mbox
= ( ^ [X10: $i > $i > $o,X11: $i > $o,X1: $i] :
! [X12: $i] :
( ( X10 @ X1 @ X12 )
=> ( X11 @ X12 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wMcDGCTCcB/E---3.1_10928.p',mbox) ).
thf(mdia,axiom,
( mdia
= ( ^ [X10: $i > $i > $o,X11: $i > $o,X1: $i] :
? [X13: $i] :
( ( X10 @ X1 @ X13 )
& ( X11 @ X13 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wMcDGCTCcB/E---3.1_10928.p',mdia) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X11: $i > $o] :
! [X15: $i] : ( X11 @ X15 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wMcDGCTCcB/E---3.1_10928.p',mvalid) ).
thf(thm,conjecture,
mvalid @ ( mimpl @ ( mimpl @ ( mdia @ r @ a ) @ ( mbox @ r @ b ) ) @ ( mbox @ r @ ( mimpl @ a @ b ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wMcDGCTCcB/E---3.1_10928.p',thm) ).
thf(c_0_7,plain,
( mimpl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimpl]) ).
thf(c_0_8,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_9,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_10,plain,
( mimpl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
thf(c_0_11,plain,
( mbox
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
! [X12: $i] :
( ( Z0 @ Z2 @ X12 )
=> ( Z1 @ X12 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox]) ).
thf(c_0_12,plain,
( mdia
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
? [X13: $i] :
( ( Z0 @ Z2 @ X13 )
& ( Z1 @ X13 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia]) ).
thf(c_0_13,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X15: $i] : ( Z0 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_14,negated_conjecture,
~ ! [X22: $i] :
( ~ ( ~ ? [X19: $i] :
( ( r @ X22 @ X19 )
& ( a @ X19 ) )
| ! [X20: $i] :
( ( r @ X22 @ X20 )
=> ( b @ X20 ) ) )
| ! [X21: $i] :
( ( r @ X22 @ X21 )
=> ( ~ ( a @ X21 )
| ( b @ X21 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]) ).
thf(c_0_15,negated_conjecture,
! [X24: $i,X25: $i] :
( ( ~ ( r @ esk1_0 @ X24 )
| ~ ( a @ X24 )
| ~ ( r @ esk1_0 @ X25 )
| ( b @ X25 ) )
& ( r @ esk1_0 @ esk2_0 )
& ( a @ esk2_0 )
& ~ ( b @ esk2_0 ) ),
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_14])])])])]) ).
thf(c_0_16,negated_conjecture,
! [X1: $i,X3: $i] :
( ( b @ X3 )
| ~ ( r @ esk1_0 @ X1 )
| ~ ( a @ X1 )
| ~ ( r @ esk1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_17,negated_conjecture,
r @ esk1_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_18,negated_conjecture,
~ ( b @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_19,negated_conjecture,
! [X1: $i] :
( ~ ( r @ esk1_0 @ X1 )
| ~ ( a @ X1 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
thf(c_0_20,negated_conjecture,
a @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL588^1 : TPTP v8.2.0. Released v3.6.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jun 22 16:08:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.21/0.49 Running higher-order theorem proving
% 0.21/0.49 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.wMcDGCTCcB/E---3.1_10928.p
% 0.21/0.51 # Version: 3.2.0-ho
% 0.21/0.51 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting new_ho_9 with 1500s (5) cores
% 0.21/0.51 # Starting post_as_ho1 with 300s (1) cores
% 0.21/0.51 # Starting sh1l with 300s (1) cores
% 0.21/0.51 # Starting post_as_ho10 with 300s (1) cores
% 0.21/0.51 # post_as_ho1 with pid 11018 completed with status 0
% 0.21/0.51 # Result found by post_as_ho1
% 0.21/0.51 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting new_ho_9 with 1500s (5) cores
% 0.21/0.51 # Starting post_as_ho1 with 300s (1) cores
% 0.21/0.51 # No SInE strategy applied
% 0.21/0.51 # Search class: HHUNF-FFSF00-SHSSMFNN
% 0.21/0.51 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51 # Starting new_ho_10 with 163s (1) cores
% 0.21/0.51 # new_ho_10 with pid 11022 completed with status 0
% 0.21/0.51 # Result found by new_ho_10
% 0.21/0.51 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting new_ho_9 with 1500s (5) cores
% 0.21/0.51 # Starting post_as_ho1 with 300s (1) cores
% 0.21/0.51 # No SInE strategy applied
% 0.21/0.51 # Search class: HHUNF-FFSF00-SHSSMFNN
% 0.21/0.51 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51 # Starting new_ho_10 with 163s (1) cores
% 0.21/0.51 # Preprocessing time : 0.001 s
% 0.21/0.51 # Presaturation interreduction done
% 0.21/0.51
% 0.21/0.51 # Proof found!
% 0.21/0.51 # SZS status Theorem
% 0.21/0.51 # SZS output start CNFRefutation
% See solution above
% 0.21/0.51 # Parsed axioms : 39
% 0.21/0.51 # Removed by relevancy pruning/SinE : 0
% 0.21/0.51 # Initial clauses : 27
% 0.21/0.51 # Removed in clause preprocessing : 23
% 0.21/0.51 # Initial clauses in saturation : 4
% 0.21/0.51 # Processed clauses : 9
% 0.21/0.51 # ...of these trivial : 0
% 0.21/0.51 # ...subsumed : 0
% 0.21/0.51 # ...remaining for further processing : 9
% 0.21/0.51 # Other redundant clauses eliminated : 0
% 0.21/0.51 # Clauses deleted for lack of memory : 0
% 0.21/0.51 # Backward-subsumed : 1
% 0.21/0.51 # Backward-rewritten : 0
% 0.21/0.51 # Generated clauses : 2
% 0.21/0.51 # ...of the previous two non-redundant : 1
% 0.21/0.51 # ...aggressively subsumed : 0
% 0.21/0.51 # Contextual simplify-reflections : 0
% 0.21/0.51 # Paramodulations : 2
% 0.21/0.51 # Factorizations : 0
% 0.21/0.51 # NegExts : 0
% 0.21/0.51 # Equation resolutions : 0
% 0.21/0.51 # Disequality decompositions : 0
% 0.21/0.51 # Total rewrite steps : 1
% 0.21/0.51 # ...of those cached : 0
% 0.21/0.51 # Propositional unsat checks : 0
% 0.21/0.51 # Propositional check models : 0
% 0.21/0.51 # Propositional check unsatisfiable : 0
% 0.21/0.51 # Propositional clauses : 0
% 0.21/0.51 # Propositional clauses after purity: 0
% 0.21/0.51 # Propositional unsat core size : 0
% 0.21/0.51 # Propositional preprocessing time : 0.000
% 0.21/0.51 # Propositional encoding time : 0.000
% 0.21/0.51 # Propositional solver time : 0.000
% 0.21/0.51 # Success case prop preproc time : 0.000
% 0.21/0.51 # Success case prop encoding time : 0.000
% 0.21/0.51 # Success case prop solver time : 0.000
% 0.21/0.51 # Current number of processed clauses : 4
% 0.21/0.51 # Positive orientable unit clauses : 2
% 0.21/0.51 # Positive unorientable unit clauses: 0
% 0.21/0.51 # Negative unit clauses : 1
% 0.21/0.51 # Non-unit-clauses : 1
% 0.21/0.51 # Current number of unprocessed clauses: 0
% 0.21/0.51 # ...number of literals in the above : 0
% 0.21/0.51 # Current number of archived formulas : 0
% 0.21/0.51 # Current number of archived clauses : 5
% 0.21/0.51 # Clause-clause subsumption calls (NU) : 3
% 0.21/0.51 # Rec. Clause-clause subsumption calls : 3
% 0.21/0.51 # Non-unit clause-clause subsumptions : 1
% 0.21/0.51 # Unit Clause-clause subsumption calls : 0
% 0.21/0.51 # Rewrite failures with RHS unbound : 0
% 0.21/0.51 # BW rewrite match attempts : 0
% 0.21/0.51 # BW rewrite match successes : 0
% 0.21/0.51 # Condensation attempts : 9
% 0.21/0.51 # Condensation successes : 0
% 0.21/0.51 # Termbank termtop insertions : 1176
% 0.21/0.51 # Search garbage collected termcells : 246
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.005 s
% 0.21/0.51 # System time : 0.001 s
% 0.21/0.51 # Total time : 0.006 s
% 0.21/0.51 # Maximum resident set size: 1892 pages
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.007 s
% 0.21/0.51 # System time : 0.003 s
% 0.21/0.51 # Total time : 0.010 s
% 0.21/0.51 # Maximum resident set size: 1752 pages
% 0.21/0.51 % E---3.1 exiting
% 0.21/0.51 % E exiting
%------------------------------------------------------------------------------