TSTP Solution File: SEV230^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV230^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 04:08:02 EDT 2024
% Result : Theorem 0.36s 0.53s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 3 unt; 6 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 73 ( 11 ~; 8 |; 4 &; 36 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 0 ^ 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: a > $o ).
thf(decl_23,type,
epred2_0: a > $o ).
thf(decl_24,type,
epred3_0: ( a > $o ) > $o ).
thf(decl_25,type,
epred4_0: a > $o ).
thf(decl_26,type,
esk1_0: a ).
thf(cTHM88_pme,conjecture,
! [X1: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X4: ( a > $o ) > $o] :
( ! [X5: a > $o] :
( ( X4 @ X5 )
=> ! [X6: a] :
( ( X5 @ X6 )
=> ( X1 @ X6 ) ) )
=> ! [X5: a > $o] :
( ( X4 @ X5 )
=> ! [X6: a] :
( ( X5 @ X6 )
=> ( X2 @ X6 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM88_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o] :
( ! [X3: a] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X4: ( a > $o ) > $o] :
( ! [X5: a > $o] :
( ( X4 @ X5 )
=> ! [X6: a] :
( ( X5 @ X6 )
=> ( X1 @ X6 ) ) )
=> ! [X5: a > $o] :
( ( X4 @ X5 )
=> ! [X6: a] :
( ( X5 @ X6 )
=> ( X2 @ X6 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM88_pme]) ).
thf(c_0_2,negated_conjecture,
! [X17: a,X19: a > $o,X20: a] :
( ( ~ ( epred1_0 @ X17 )
| ( epred2_0 @ X17 ) )
& ( ~ ( epred3_0 @ X19 )
| ~ ( X19 @ X20 )
| ( epred1_0 @ X20 ) )
& ( epred3_0 @ epred4_0 )
& ( epred4_0 @ esk1_0 )
& ~ ( epred2_0 @ 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 > $o,X3: a] :
( ( epred1_0 @ X3 )
| ~ ( epred3_0 @ X1 )
| ~ ( X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
epred3_0 @ epred4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X3: a] :
( ( epred1_0 @ X3 )
| ~ ( epred4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_7,negated_conjecture,
~ ( epred2_0 @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X3: a] :
( ( epred2_0 @ X3 )
| ~ ( epred4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_9,negated_conjecture,
epred4_0 @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV230^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 18:46:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.52 Running higher-order theorem proving
% 0.21/0.52 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/benchmark/theBenchmark.p
% 0.36/0.53 # Version: 3.1.0-ho
% 0.36/0.53 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.36/0.53 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.53 # Starting sh2lt with 1200s (4) cores
% 0.36/0.53 # Starting new_ho_10_unif with 300s (1) cores
% 0.36/0.53 # Starting full_lambda_6 with 300s (1) cores
% 0.36/0.53 # Starting post_as_ho1 with 300s (1) cores
% 0.36/0.53 # Starting ehoh_best3_rw with 300s (1) cores
% 0.36/0.53 # full_lambda_6 with pid 27428 completed with status 0
% 0.36/0.53 # Result found by full_lambda_6
% 0.36/0.53 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.36/0.53 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.53 # Starting sh2lt with 1200s (4) cores
% 0.36/0.53 # Starting new_ho_10_unif with 300s (1) cores
% 0.36/0.53 # Starting full_lambda_6 with 300s (1) cores
% 0.36/0.53 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.36/0.53 # Search class: HHUNF-FFSF00-SHHFFSBN
% 0.36/0.53 # partial match(1): HGUNF-FFSF00-SHHFFSBN
% 0.36/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.53 # Starting ho_unfolding_3 with 135s (1) cores
% 0.36/0.53 # ho_unfolding_3 with pid 27433 completed with status 0
% 0.36/0.53 # Result found by ho_unfolding_3
% 0.36/0.53 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.36/0.53 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.53 # Starting sh2lt with 1200s (4) cores
% 0.36/0.53 # Starting new_ho_10_unif with 300s (1) cores
% 0.36/0.53 # Starting full_lambda_6 with 300s (1) cores
% 0.36/0.53 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.36/0.53 # Search class: HHUNF-FFSF00-SHHFFSBN
% 0.36/0.53 # partial match(1): HGUNF-FFSF00-SHHFFSBN
% 0.36/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.53 # Starting ho_unfolding_3 with 135s (1) cores
% 0.36/0.53 # Preprocessing time : 0.001 s
% 0.36/0.53 # Presaturation interreduction done
% 0.36/0.53
% 0.36/0.53 # Proof found!
% 0.36/0.53 # SZS status Theorem
% 0.36/0.53 # SZS output start CNFRefutation
% See solution above
% 0.36/0.53 # Parsed axioms : 2
% 0.36/0.53 # Removed by relevancy pruning/SinE : 1
% 0.36/0.53 # Initial clauses : 5
% 0.36/0.53 # Removed in clause preprocessing : 0
% 0.36/0.53 # Initial clauses in saturation : 5
% 0.36/0.53 # Processed clauses : 12
% 0.36/0.53 # ...of these trivial : 0
% 0.36/0.53 # ...subsumed : 0
% 0.36/0.53 # ...remaining for further processing : 12
% 0.36/0.53 # Other redundant clauses eliminated : 0
% 0.36/0.53 # Clauses deleted for lack of memory : 0
% 0.36/0.53 # Backward-subsumed : 0
% 0.36/0.53 # Backward-rewritten : 0
% 0.36/0.53 # Generated clauses : 3
% 0.36/0.53 # ...of the previous two non-redundant : 2
% 0.36/0.53 # ...aggressively subsumed : 0
% 0.36/0.53 # Contextual simplify-reflections : 0
% 0.36/0.53 # Paramodulations : 3
% 0.36/0.53 # Factorizations : 0
% 0.36/0.53 # NegExts : 0
% 0.36/0.53 # Equation resolutions : 0
% 0.36/0.53 # Disequality decompositions : 0
% 0.36/0.53 # Total rewrite steps : 1
% 0.36/0.53 # ...of those cached : 0
% 0.36/0.53 # Propositional unsat checks : 0
% 0.36/0.53 # Propositional check models : 0
% 0.36/0.53 # Propositional check unsatisfiable : 0
% 0.36/0.53 # Propositional clauses : 0
% 0.36/0.53 # Propositional clauses after purity: 0
% 0.36/0.53 # Propositional unsat core size : 0
% 0.36/0.53 # Propositional preprocessing time : 0.000
% 0.36/0.53 # Propositional encoding time : 0.000
% 0.36/0.53 # Propositional solver time : 0.000
% 0.36/0.53 # Success case prop preproc time : 0.000
% 0.36/0.53 # Success case prop encoding time : 0.000
% 0.36/0.53 # Success case prop solver time : 0.000
% 0.36/0.53 # Current number of processed clauses : 7
% 0.36/0.53 # Positive orientable unit clauses : 2
% 0.36/0.53 # Positive unorientable unit clauses: 0
% 0.36/0.53 # Negative unit clauses : 1
% 0.36/0.53 # Non-unit-clauses : 4
% 0.36/0.53 # Current number of unprocessed clauses: 0
% 0.36/0.53 # ...number of literals in the above : 0
% 0.36/0.53 # Current number of archived formulas : 0
% 0.36/0.53 # Current number of archived clauses : 5
% 0.36/0.53 # Clause-clause subsumption calls (NU) : 2
% 0.36/0.53 # Rec. Clause-clause subsumption calls : 2
% 0.36/0.53 # Non-unit clause-clause subsumptions : 0
% 0.36/0.53 # Unit Clause-clause subsumption calls : 0
% 0.36/0.53 # Rewrite failures with RHS unbound : 0
% 0.36/0.53 # BW rewrite match attempts : 0
% 0.36/0.53 # BW rewrite match successes : 0
% 0.36/0.53 # Condensation attempts : 12
% 0.36/0.53 # Condensation successes : 0
% 0.36/0.53 # Termbank termtop insertions : 516
% 0.36/0.53 # Search garbage collected termcells : 201
% 0.36/0.53
% 0.36/0.53 # -------------------------------------------------
% 0.36/0.53 # User time : 0.003 s
% 0.36/0.53 # System time : 0.001 s
% 0.36/0.53 # Total time : 0.004 s
% 0.36/0.53 # Maximum resident set size: 1744 pages
% 0.36/0.53
% 0.36/0.53 # -------------------------------------------------
% 0.36/0.53 # User time : 0.004 s
% 0.36/0.53 # System time : 0.002 s
% 0.36/0.53 # Total time : 0.007 s
% 0.36/0.53 # Maximum resident set size: 1712 pages
% 0.36/0.53 % E---3.1 exiting
% 0.36/0.53 % E exiting
%------------------------------------------------------------------------------