TSTP Solution File: ALG280^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG280^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 May 20 18:06:00 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 5 typ; 0 def)
% Number of atoms : 21 ( 20 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 89 ( 3 ~; 0 |; 7 &; 77 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 ^ 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
cE: a ).
thf(decl_23,type,
cP: a > a > a ).
thf(decl_24,type,
cJ: a > a ).
thf(decl_25,type,
esk1_0: a ).
thf(cTHM17_pme,conjecture,
( ( ! [X1: a,X2: a,X3: a] :
( ( cP @ ( cP @ X1 @ X2 ) @ X3 )
= ( cP @ X1 @ ( cP @ X2 @ X3 ) ) )
& ! [X1: a] :
( ( cP @ cE @ X1 )
= X1 )
& ! [X2: a] :
( ( cP @ ( cJ @ X2 ) @ X2 )
= cE ) )
=> ! [X4: a] :
( ( cP @ X4 @ cE )
= X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM17_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: a,X2: a,X3: a] :
( ( cP @ ( cP @ X1 @ X2 ) @ X3 )
= ( cP @ X1 @ ( cP @ X2 @ X3 ) ) )
& ! [X1: a] :
( ( cP @ cE @ X1 )
= X1 )
& ! [X2: a] :
( ( cP @ ( cJ @ X2 ) @ X2 )
= cE ) )
=> ! [X4: a] :
( ( cP @ X4 @ cE )
= X4 ) ),
inference(assume_negation,[status(cth)],[cTHM17_pme]) ).
thf(c_0_2,negated_conjecture,
! [X11: a,X12: a,X13: a,X14: a,X15: a] :
( ( ( cP @ ( cP @ X11 @ X12 ) @ X13 )
= ( cP @ X11 @ ( cP @ X12 @ X13 ) ) )
& ( ( cP @ cE @ X14 )
= X14 )
& ( ( cP @ ( cJ @ X15 ) @ X15 )
= cE )
& ( ( cP @ esk1_0 @ cE )
!= esk1_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_1])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X1: a,X2: a,X3: a] :
( ( cP @ ( cP @ X1 @ X2 ) @ X3 )
= ( cP @ X1 @ ( cP @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: a] :
( ( cP @ ( cJ @ X1 ) @ X1 )
= cE ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: a] :
( ( cP @ cE @ X1 )
= X1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X1: a,X2: a] :
( ( cP @ ( cJ @ X1 ) @ ( cP @ X1 @ X2 ) )
= X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X1: a] :
( ( cP @ ( cJ @ ( cJ @ X1 ) ) @ cE )
= X1 ),
inference(spm,[status(thm)],[c_0_6,c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X1: a,X2: a] :
( ( cP @ ( cJ @ ( cJ @ X1 ) ) @ X2 )
= ( cP @ X1 @ X2 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
thf(c_0_9,negated_conjecture,
( ( cP @ esk1_0 @ cE )
!= esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
! [X1: a] :
( ( cP @ X1 @ cE )
= X1 ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG280^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sat May 18 23:14:23 EDT 2024
% 0.14/0.30 % CPUTime :
% 0.14/0.40 Running higher-order theorem proving
% 0.14/0.40 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
% 0.14/0.41 # Version: 3.1.0-ho
% 0.14/0.41 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.41 # Starting ho_unfolding_6 with 300s (1) cores
% 0.14/0.41 # Starting sh4l with 300s (1) cores
% 0.14/0.41 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.14/0.41 # ho_unfolding_6 with pid 26821 completed with status 0
% 0.14/0.41 # Result found by ho_unfolding_6
% 0.14/0.41 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.41 # Starting ho_unfolding_6 with 300s (1) cores
% 0.14/0.41 # No SInE strategy applied
% 0.14/0.41 # Search class: HUUPS-FFSF21-SFFFFFNN
% 0.14/0.41 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41 # Starting new_ho_10 with 163s (1) cores
% 0.14/0.41 # new_ho_10 with pid 26827 completed with status 0
% 0.14/0.41 # Result found by new_ho_10
% 0.14/0.41 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.41 # Starting ho_unfolding_6 with 300s (1) cores
% 0.14/0.41 # No SInE strategy applied
% 0.14/0.41 # Search class: HUUPS-FFSF21-SFFFFFNN
% 0.14/0.41 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41 # Starting new_ho_10 with 163s (1) cores
% 0.14/0.41 # Preprocessing time : 0.001 s
% 0.14/0.41 # Presaturation interreduction done
% 0.14/0.41
% 0.14/0.41 # Proof found!
% 0.14/0.41 # SZS status Theorem
% 0.14/0.41 # SZS output start CNFRefutation
% See solution above
% 0.14/0.41 # Parsed axioms : 5
% 0.14/0.41 # Removed by relevancy pruning/SinE : 0
% 0.14/0.41 # Initial clauses : 8
% 0.14/0.41 # Removed in clause preprocessing : 4
% 0.14/0.41 # Initial clauses in saturation : 4
% 0.14/0.41 # Processed clauses : 16
% 0.14/0.41 # ...of these trivial : 1
% 0.14/0.41 # ...subsumed : 0
% 0.14/0.41 # ...remaining for further processing : 15
% 0.14/0.41 # Other redundant clauses eliminated : 0
% 0.14/0.41 # Clauses deleted for lack of memory : 0
% 0.14/0.41 # Backward-subsumed : 0
% 0.14/0.41 # Backward-rewritten : 4
% 0.14/0.41 # Generated clauses : 32
% 0.14/0.41 # ...of the previous two non-redundant : 14
% 0.14/0.41 # ...aggressively subsumed : 0
% 0.14/0.41 # Contextual simplify-reflections : 0
% 0.14/0.41 # Paramodulations : 31
% 0.14/0.41 # Factorizations : 0
% 0.14/0.41 # NegExts : 0
% 0.14/0.41 # Equation resolutions : 0
% 0.14/0.41 # Disequality decompositions : 0
% 0.14/0.41 # Total rewrite steps : 36
% 0.14/0.41 # ...of those cached : 17
% 0.14/0.41 # Propositional unsat checks : 0
% 0.14/0.41 # Propositional check models : 0
% 0.14/0.41 # Propositional check unsatisfiable : 0
% 0.14/0.41 # Propositional clauses : 0
% 0.14/0.41 # Propositional clauses after purity: 0
% 0.14/0.41 # Propositional unsat core size : 0
% 0.14/0.41 # Propositional preprocessing time : 0.000
% 0.14/0.41 # Propositional encoding time : 0.000
% 0.14/0.41 # Propositional solver time : 0.000
% 0.14/0.41 # Success case prop preproc time : 0.000
% 0.14/0.41 # Success case prop encoding time : 0.000
% 0.14/0.41 # Success case prop solver time : 0.000
% 0.14/0.41 # Current number of processed clauses : 7
% 0.14/0.41 # Positive orientable unit clauses : 7
% 0.14/0.41 # Positive unorientable unit clauses: 0
% 0.14/0.41 # Negative unit clauses : 0
% 0.14/0.41 # Non-unit-clauses : 0
% 0.14/0.41 # Current number of unprocessed clauses: 6
% 0.14/0.41 # ...number of literals in the above : 6
% 0.14/0.41 # Current number of archived formulas : 0
% 0.14/0.41 # Current number of archived clauses : 8
% 0.14/0.41 # Clause-clause subsumption calls (NU) : 0
% 0.14/0.41 # Rec. Clause-clause subsumption calls : 0
% 0.14/0.41 # Non-unit clause-clause subsumptions : 0
% 0.14/0.41 # Unit Clause-clause subsumption calls : 0
% 0.14/0.41 # Rewrite failures with RHS unbound : 0
% 0.14/0.41 # BW rewrite match attempts : 5
% 0.14/0.41 # BW rewrite match successes : 4
% 0.14/0.41 # Condensation attempts : 16
% 0.14/0.41 # Condensation successes : 0
% 0.14/0.41 # Termbank termtop insertions : 544
% 0.14/0.41 # Search garbage collected termcells : 98
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.003 s
% 0.14/0.41 # System time : 0.000 s
% 0.14/0.41 # Total time : 0.003 s
% 0.14/0.41 # Maximum resident set size: 1572 pages
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.004 s
% 0.14/0.41 # System time : 0.002 s
% 0.14/0.41 # Total time : 0.005 s
% 0.14/0.41 # Maximum resident set size: 1708 pages
% 0.14/0.41 % E---3.1 exiting
% 0.14/0.41 % E exiting
%------------------------------------------------------------------------------