TSTP Solution File: COM024^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : COM024^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 : Sat May 4 07:29:54 EDT 2024
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 5 unt; 3 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 39 ( 4 ~; 0 |; 1 &; 32 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 1 ^ 12 !; 2 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
cTM: $i > $i > $i ).
thf(decl_23,type,
cTH: ( $i > $i ) > $i ).
thf(decl_24,type,
esk1_0: $i > $i ).
thf(cTHM9,conjecture,
( ! [X1: $i > $i] :
( ( cTM @ ( cTH @ X1 ) )
= X1 )
=> ! [X2: $i > $i] :
? [X3: $i] :
( ( cTM @ ( X2 @ X3 ) )
= ( cTM @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zRPMClb2Lg/E---3.1_21902.p',cTHM9) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: $i > $i] :
( ( cTM @ ( cTH @ X1 ) )
= X1 )
=> ! [X2: $i > $i] :
? [X3: $i] :
( ( cTM @ ( X2 @ X3 ) )
= ( cTM @ X3 ) ) ),
inference(assume_negation,[status(cth)],[cTHM9]) ).
thf(c_0_2,negated_conjecture,
! [X7: $i > $i,X9: $i] :
( ( ( cTM @ ( cTH @ X7 ) )
= X7 )
& ( ( cTM @ ( esk1_0 @ X9 ) )
!= ( cTM @ X9 ) ) ),
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 > $i] :
( ( cTM @ ( cTH @ X1 ) )
= X1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: $i] :
( ( cTM @ ( esk1_0 @ X3 ) )
!= ( cTM @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i > $i,X3: $i] :
( ( cTM @ ( cTH @ X1 ) @ X3 )
= ( X1 @ X3 ) ),
inference(arg_cong,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i > $i,X3: $i] :
( ( cTM
@ ( cTM
@ ( cTH
@ ^ [Z0: $i] : ( esk1_0 @ ( X1 @ Z0 ) ) )
@ X3 ) )
!= ( cTM @ ( X1 @ X3 ) ) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM024^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n024.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 : Fri May 3 17:24:53 EDT 2024
% 0.13/0.34 % 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/tmp/tmp.zRPMClb2Lg/E---3.1_21902.p
% 0.19/0.50 # Version: 3.1.0-ho
% 0.19/0.50 # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.19/0.50 # Starting post_as_ho10 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_9 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # ehoh_best_nonlift_nonlambdatoforall with pid 22005 completed with status 8
% 0.19/0.50 # post_as_ho10 with pid 22006 completed with status 0
% 0.19/0.50 # Result found by post_as_ho10
% 0.19/0.50 # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.19/0.50 # Starting post_as_ho10 with 300s (1) cores
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Search class: HUUPF-FFSF21-SSSFFFNN
% 0.19/0.50 # partial match(2): HUUPF-FFSF21-SFFFFFNN
% 0.19/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.50 # new_ho_10 with pid 22016 completed with status 9
% 0.19/0.50 # Starting post_as_ho10 with 31s (1) cores
% 0.19/0.50 # post_as_ho10 with pid 22021 completed with status 0
% 0.19/0.50 # Result found by post_as_ho10
% 0.19/0.50 # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.19/0.50 # Starting post_as_ho10 with 300s (1) cores
% 0.19/0.50 # No SInE strategy applied
% 0.19/0.50 # Search class: HUUPF-FFSF21-SSSFFFNN
% 0.19/0.50 # partial match(2): HUUPF-FFSF21-SFFFFFNN
% 0.19/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.50 # new_ho_10 with pid 22016 completed with status 9
% 0.19/0.50 # Starting post_as_ho10 with 31s (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 : 3
% 0.19/0.50 # Removed by relevancy pruning/SinE : 0
% 0.19/0.50 # Initial clauses : 4
% 0.19/0.50 # Removed in clause preprocessing : 2
% 0.19/0.50 # Initial clauses in saturation : 2
% 0.19/0.50 # Processed clauses : 8
% 0.19/0.50 # ...of these trivial : 0
% 0.19/0.50 # ...subsumed : 0
% 0.19/0.50 # ...remaining for further processing : 8
% 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 : 49
% 0.19/0.50 # ...of the previous two non-redundant : 30
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 0
% 0.19/0.50 # Paramodulations : 43
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 2
% 0.19/0.50 # Equation resolutions : 1
% 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 : 6
% 0.19/0.50 # Positive orientable unit clauses : 1
% 0.19/0.50 # Positive unorientable unit clauses: 2
% 0.19/0.50 # Negative unit clauses : 3
% 0.19/0.50 # Non-unit-clauses : 0
% 0.19/0.50 # Current number of unprocessed clauses: 25
% 0.19/0.50 # ...number of literals in the above : 25
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 2
% 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 : 2
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 19
% 0.19/0.50 # BW rewrite match successes : 7
% 0.19/0.50 # Condensation attempts : 0
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 4418
% 0.19/0.50 # Search garbage collected termcells : 51
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.006 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: 1736 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.027 s
% 0.19/0.50 # System time : 0.013 s
% 0.19/0.50 # Total time : 0.040 s
% 0.19/0.50 # Maximum resident set size: 1716 pages
% 0.19/0.50 % E---3.1 exiting
% 0.19/0.50 % E exiting
%------------------------------------------------------------------------------