TSTP Solution File: SYN374^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYN374^5 : 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 07:44:30 EDT 2024
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 3 unt; 7 typ; 0 def)
% Number of atoms : 69 ( 0 equ; 0 cnn)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 161 ( 30 ~; 42 |; 7 &; 76 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 29 ( 0 ^ 25 !; 4 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
cP: $i > $o ).
thf(decl_23,type,
esk1_1: $i > $i ).
thf(decl_24,type,
esk2_0: $i ).
thf(decl_25,type,
esk3_0: $i ).
thf(decl_26,type,
esk4_0: $i ).
thf(decl_27,type,
esk5_0: $i ).
thf(decl_28,type,
esk6_0: $i ).
thf(cX2125,conjecture,
( ? [X1: $i] :
! [X2: $i] :
( ( cP @ X1 )
<=> ( cP @ X2 ) )
<=> ( ? [X1: $i] : ( cP @ X1 )
<=> ! [X2: $i] : ( cP @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX2125) ).
thf(c_0_1,negated_conjecture,
~ ( ? [X1: $i] :
! [X2: $i] :
( ( cP @ X1 )
<=> ( cP @ X2 ) )
<=> ( ? [X1: $i] : ( cP @ X1 )
<=> ! [X2: $i] : ( cP @ X2 ) ) ),
inference(assume_negation,[status(cth)],[cX2125]) ).
thf(c_0_2,negated_conjecture,
! [X7: $i,X9: $i,X12: $i,X14: $i,X15: $i,X16: $i] :
( ( ~ ( cP @ X9 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X7 )
| ~ ( cP @ ( esk1_1 @ X7 ) ) )
& ( ( cP @ esk3_0 )
| ( cP @ X12 )
| ~ ( cP @ X7 )
| ~ ( cP @ ( esk1_1 @ X7 ) ) )
& ( ~ ( cP @ X9 )
| ~ ( cP @ esk2_0 )
| ( cP @ X7 )
| ( cP @ ( esk1_1 @ X7 ) ) )
& ( ( cP @ esk3_0 )
| ( cP @ X12 )
| ( cP @ X7 )
| ( cP @ ( esk1_1 @ X7 ) ) )
& ( ~ ( cP @ X15 )
| ( cP @ X16 )
| ~ ( cP @ esk4_0 )
| ( cP @ X14 ) )
& ( ~ ( cP @ esk5_0 )
| ( cP @ esk6_0 )
| ~ ( cP @ esk4_0 )
| ( cP @ X14 ) )
& ( ~ ( cP @ X15 )
| ( cP @ X16 )
| ~ ( cP @ X14 )
| ( cP @ esk4_0 ) )
& ( ~ ( cP @ esk5_0 )
| ( cP @ esk6_0 )
| ~ ( cP @ X14 )
| ( cP @ 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] :
( ( cP @ X2 )
| ( cP @ esk4_0 )
| ~ ( cP @ X1 )
| ~ ( cP @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: $i,X2: $i] :
( ( cP @ esk3_0 )
| ( cP @ X1 )
| ( cP @ X2 )
| ( cP @ ( esk1_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( cP @ X2 )
| ( cP @ X3 )
| ~ ( cP @ X1 )
| ~ ( cP @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i] :
( ( cP @ esk4_0 )
| ~ ( cP @ X1 ) ),
inference(condense,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X1: $i] :
( ( cP @ ( esk1_1 @ X1 ) )
| ( cP @ esk3_0 )
| ( cP @ X1 ) ),
inference(condense,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i,X2: $i] :
( ~ ( cP @ X1 )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X2 )
| ~ ( cP @ ( esk1_1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X1: $i] :
( ( cP @ X1 )
| ~ ( cP @ esk4_0 ) ),
inference(condense,[status(thm)],[c_0_5]) ).
thf(c_0_10,negated_conjecture,
cP @ esk4_0,
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7])]),c_0_6]) ).
thf(c_0_11,negated_conjecture,
! [X1: $i] :
( ~ ( cP @ ( esk1_1 @ X1 ) )
| ~ ( cP @ esk2_0 )
| ~ ( cP @ X1 ) ),
inference(condense,[status(thm)],[c_0_8]) ).
thf(c_0_12,negated_conjecture,
! [X1: $i] : ( cP @ X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN374^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 13:54:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running higher-order theorem proving
% 0.19/0.47 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
% 0.19/0.48 # Version: 3.1.0-ho
% 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.48 # Starting ho_unfolding_6 with 300s (1) cores
% 0.19/0.48 # Starting sh4l with 300s (1) cores
% 0.19/0.48 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.19/0.48 # ehoh_best_nonlift_rwall with pid 11481 completed with status 0
% 0.19/0.48 # Result found by ehoh_best_nonlift_rwall
% 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.48 # Starting ho_unfolding_6 with 300s (1) cores
% 0.19/0.48 # Starting sh4l with 300s (1) cores
% 0.19/0.48 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.19/0.48 # No SInE strategy applied
% 0.19/0.48 # Search class: HGHNF-FFSF11-SFFFFFNN
% 0.19/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.48 # new_ho_10 with pid 11485 completed with status 0
% 0.19/0.48 # Result found by new_ho_10
% 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.48 # Starting ho_unfolding_6 with 300s (1) cores
% 0.19/0.48 # Starting sh4l with 300s (1) cores
% 0.19/0.48 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.19/0.48 # No SInE strategy applied
% 0.19/0.48 # Search class: HGHNF-FFSF11-SFFFFFNN
% 0.19/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.48 # Preprocessing time : 0.001 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Theorem
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.48 # Parsed axioms : 2
% 0.19/0.48 # Removed by relevancy pruning/SinE : 0
% 0.19/0.48 # Initial clauses : 9
% 0.19/0.48 # Removed in clause preprocessing : 1
% 0.19/0.48 # Initial clauses in saturation : 8
% 0.19/0.48 # Processed clauses : 18
% 0.19/0.48 # ...of these trivial : 0
% 0.19/0.48 # ...subsumed : 1
% 0.19/0.48 # ...remaining for further processing : 17
% 0.19/0.48 # Other redundant clauses eliminated : 0
% 0.19/0.48 # Clauses deleted for lack of memory : 0
% 0.19/0.48 # Backward-subsumed : 1
% 0.19/0.48 # Backward-rewritten : 8
% 0.19/0.48 # Generated clauses : 6
% 0.19/0.48 # ...of the previous two non-redundant : 3
% 0.19/0.48 # ...aggressively subsumed : 0
% 0.19/0.48 # Contextual simplify-reflections : 2
% 0.19/0.48 # Paramodulations : 6
% 0.19/0.48 # Factorizations : 0
% 0.19/0.48 # NegExts : 0
% 0.19/0.48 # Equation resolutions : 0
% 0.19/0.48 # Disequality decompositions : 0
% 0.19/0.48 # Total rewrite steps : 5
% 0.19/0.48 # ...of those cached : 0
% 0.19/0.48 # Propositional unsat checks : 0
% 0.19/0.48 # Propositional check models : 0
% 0.19/0.48 # Propositional check unsatisfiable : 0
% 0.19/0.48 # Propositional clauses : 0
% 0.19/0.48 # Propositional clauses after purity: 0
% 0.19/0.48 # Propositional unsat core size : 0
% 0.19/0.48 # Propositional preprocessing time : 0.000
% 0.19/0.48 # Propositional encoding time : 0.000
% 0.19/0.48 # Propositional solver time : 0.000
% 0.19/0.48 # Success case prop preproc time : 0.000
% 0.19/0.48 # Success case prop encoding time : 0.000
% 0.19/0.48 # Success case prop solver time : 0.000
% 0.19/0.48 # Current number of processed clauses : 1
% 0.19/0.48 # Positive orientable unit clauses : 1
% 0.19/0.48 # Positive unorientable unit clauses: 0
% 0.19/0.48 # Negative unit clauses : 0
% 0.19/0.48 # Non-unit-clauses : 0
% 0.19/0.48 # Current number of unprocessed clauses: 0
% 0.19/0.48 # ...number of literals in the above : 0
% 0.19/0.48 # Current number of archived formulas : 0
% 0.19/0.48 # Current number of archived clauses : 16
% 0.19/0.48 # Clause-clause subsumption calls (NU) : 20
% 0.19/0.48 # Rec. Clause-clause subsumption calls : 16
% 0.19/0.48 # Non-unit clause-clause subsumptions : 16
% 0.19/0.48 # Unit Clause-clause subsumption calls : 0
% 0.19/0.48 # Rewrite failures with RHS unbound : 0
% 0.19/0.48 # BW rewrite match attempts : 8
% 0.19/0.48 # BW rewrite match successes : 8
% 0.19/0.48 # Condensation attempts : 18
% 0.19/0.48 # Condensation successes : 10
% 0.19/0.48 # Termbank termtop insertions : 1057
% 0.19/0.48 # Search garbage collected termcells : 244
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.004 s
% 0.19/0.48 # System time : 0.001 s
% 0.19/0.48 # Total time : 0.005 s
% 0.19/0.48 # Maximum resident set size: 1756 pages
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.005 s
% 0.19/0.48 # System time : 0.004 s
% 0.19/0.48 # Total time : 0.008 s
% 0.19/0.48 # Maximum resident set size: 1692 pages
% 0.19/0.48 % E---3.1 exiting
% 0.19/0.48 % E exiting
%------------------------------------------------------------------------------