TSTP Solution File: SEV076^5 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SEV076^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 15:53:27 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 116 ( 8 ~; 6 |; 11 &; 79 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 0 ^ 34 !; 2 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: a > a > $o ).
thf(decl_23,type,
esk1_0: ( a > $o ) > a ).
thf(decl_24,type,
esk2_2: ( a > $o ) > a > a ).
thf(decl_25,type,
epred2_0: a > $o ).
thf(decl_26,type,
esk3_1: a > a ).
thf(cTHM401B_pme,conjecture,
! [X1: a > a > $o,X2: ( a > $o ) > a] :
( ( ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X6: a > $o] :
( ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X7: a] :
( ! [X8: a] :
( ( X6 @ X8 )
=> ( X1 @ X8 @ X7 ) )
=> ( X1 @ ( X2 @ X6 ) @ X7 ) ) ) )
=> ! [X6: a > $o] :
? [X9: a] :
! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ X9 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dn3UZ7KYUp/E---3.1_9085.p',cTHM401B_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o,X2: ( a > $o ) > a] :
( ( ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X6: a > $o] :
( ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X7: a] :
( ! [X8: a] :
( ( X6 @ X8 )
=> ( X1 @ X8 @ X7 ) )
=> ( X1 @ ( X2 @ X6 ) @ X7 ) ) ) )
=> ! [X6: a > $o] :
? [X9: a] :
! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ X9 ) ) ),
inference(assume_negation,[status(cth)],[cTHM401B_pme]) ).
thf(c_0_2,negated_conjecture,
! [X24: a,X25: a,X26: a,X27: a > $o,X28: a,X29: a,X32: a] :
( ( ~ ( epred1_0 @ X24 @ X25 )
| ~ ( epred1_0 @ X25 @ X26 )
| ( epred1_0 @ X24 @ X26 ) )
& ( ~ ( X27 @ X28 )
| ( epred1_0 @ X28 @ ( esk1_0 @ X27 ) ) )
& ( ( X27 @ ( esk2_2 @ X27 @ X29 ) )
| ( epred1_0 @ ( esk1_0 @ X27 ) @ X29 ) )
& ( ~ ( epred1_0 @ ( esk2_2 @ X27 @ X29 ) @ X29 )
| ( epred1_0 @ ( esk1_0 @ X27 ) @ X29 ) )
& ( epred2_0 @ ( esk3_1 @ X32 ) )
& ~ ( epred1_0 @ ( esk3_1 @ X32 ) @ X32 ) ),
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,
! [X6: a > $o,X3: a] :
( ( epred1_0 @ X3 @ ( esk1_0 @ X6 ) )
| ~ ( X6 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: a] : ( epred2_0 @ ( esk3_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X3: a] :
~ ( epred1_0 @ ( esk3_1 @ X3 ) @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X3: a] : ( epred1_0 @ ( esk3_1 @ X3 ) @ ( esk1_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV076^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 19:33:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.21/0.47 Running higher-order theorem proving
% 0.21/0.47 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.dn3UZ7KYUp/E---3.1_9085.p
% 0.21/0.49 # Version: 3.2.0-ho
% 0.21/0.49 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.21/0.49 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting sh2lt with 1200s (4) cores
% 0.21/0.49 # Starting new_ho_10_unif with 300s (1) cores
% 0.21/0.49 # Starting full_lambda_6 with 300s (1) cores
% 0.21/0.49 # Starting post_as_ho1 with 300s (1) cores
% 0.21/0.49 # Starting ehoh_best3_rw with 300s (1) cores
% 0.21/0.49 # sh2lt with pid 9239 completed with status 0
% 0.21/0.49 # Result found by sh2lt
% 0.21/0.49 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.21/0.49 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting sh2lt with 1200s (4) cores
% 0.21/0.49 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.21/0.49 # Search class: HGUNF-FFSF21-SHHFFSBN
% 0.21/0.49 # partial match(1): HGUNF-FFSF22-SHHFFSBN
% 0.21/0.49 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 0.21/0.49 # Starting ho_unfolding_3 with 649s (1) cores
% 0.21/0.49 # Starting sh2lt with 121s (1) cores
% 0.21/0.49 # Starting lpo8_lambda_fix with 109s (1) cores
% 0.21/0.49 # Starting full_lambda_5 with 109s (1) cores
% 0.21/0.49 # ho_unfolding_3 with pid 9245 completed with status 0
% 0.21/0.49 # Result found by ho_unfolding_3
% 0.21/0.49 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.21/0.49 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting sh2lt with 1200s (4) cores
% 0.21/0.49 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.21/0.49 # Search class: HGUNF-FFSF21-SHHFFSBN
% 0.21/0.49 # partial match(1): HGUNF-FFSF22-SHHFFSBN
% 0.21/0.49 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 0.21/0.49 # Starting ho_unfolding_3 with 649s (1) cores
% 0.21/0.49 # Preprocessing time : 0.001 s
% 0.21/0.49 # Presaturation interreduction done
% 0.21/0.49
% 0.21/0.49 # Proof found!
% 0.21/0.49 # SZS status Theorem
% 0.21/0.49 # SZS output start CNFRefutation
% See solution above
% 0.21/0.49 # Parsed axioms : 2
% 0.21/0.49 # Removed by relevancy pruning/SinE : 1
% 0.21/0.49 # Initial clauses : 6
% 0.21/0.49 # Removed in clause preprocessing : 0
% 0.21/0.49 # Initial clauses in saturation : 6
% 0.21/0.49 # Processed clauses : 13
% 0.21/0.49 # ...of these trivial : 0
% 0.21/0.49 # ...subsumed : 0
% 0.21/0.49 # ...remaining for further processing : 13
% 0.21/0.49 # Other redundant clauses eliminated : 0
% 0.21/0.49 # Clauses deleted for lack of memory : 0
% 0.21/0.49 # Backward-subsumed : 0
% 0.21/0.49 # Backward-rewritten : 0
% 0.21/0.49 # Generated clauses : 8
% 0.21/0.49 # ...of the previous two non-redundant : 7
% 0.21/0.49 # ...aggressively subsumed : 0
% 0.21/0.49 # Contextual simplify-reflections : 0
% 0.21/0.49 # Paramodulations : 8
% 0.21/0.49 # Factorizations : 0
% 0.21/0.49 # NegExts : 0
% 0.21/0.49 # Equation resolutions : 0
% 0.21/0.49 # Disequality decompositions : 0
% 0.21/0.49 # Total rewrite steps : 0
% 0.21/0.49 # ...of those cached : 0
% 0.21/0.49 # Propositional unsat checks : 0
% 0.21/0.49 # Propositional check models : 0
% 0.21/0.49 # Propositional check unsatisfiable : 0
% 0.21/0.49 # Propositional clauses : 0
% 0.21/0.49 # Propositional clauses after purity: 0
% 0.21/0.49 # Propositional unsat core size : 0
% 0.21/0.49 # Propositional preprocessing time : 0.000
% 0.21/0.49 # Propositional encoding time : 0.000
% 0.21/0.49 # Propositional solver time : 0.000
% 0.21/0.49 # Success case prop preproc time : 0.000
% 0.21/0.49 # Success case prop encoding time : 0.000
% 0.21/0.49 # Success case prop solver time : 0.000
% 0.21/0.49 # Current number of processed clauses : 7
% 0.21/0.49 # Positive orientable unit clauses : 2
% 0.21/0.49 # Positive unorientable unit clauses: 0
% 0.21/0.49 # Negative unit clauses : 1
% 0.21/0.49 # Non-unit-clauses : 4
% 0.21/0.49 # Current number of unprocessed clauses: 4
% 0.21/0.49 # ...number of literals in the above : 10
% 0.21/0.49 # Current number of archived formulas : 0
% 0.21/0.49 # Current number of archived clauses : 6
% 0.21/0.49 # Clause-clause subsumption calls (NU) : 6
% 0.21/0.49 # Rec. Clause-clause subsumption calls : 6
% 0.21/0.49 # Non-unit clause-clause subsumptions : 0
% 0.21/0.49 # Unit Clause-clause subsumption calls : 0
% 0.21/0.49 # Rewrite failures with RHS unbound : 0
% 0.21/0.49 # BW rewrite match attempts : 0
% 0.21/0.49 # BW rewrite match successes : 0
% 0.21/0.49 # Condensation attempts : 13
% 0.21/0.49 # Condensation successes : 0
% 0.21/0.49 # Termbank termtop insertions : 857
% 0.21/0.49 # Search garbage collected termcells : 310
% 0.21/0.49
% 0.21/0.49 # -------------------------------------------------
% 0.21/0.49 # User time : 0.003 s
% 0.21/0.49 # System time : 0.002 s
% 0.21/0.49 # Total time : 0.005 s
% 0.21/0.49 # Maximum resident set size: 1904 pages
% 0.21/0.49
% 0.21/0.49 # -------------------------------------------------
% 0.21/0.49 # User time : 0.008 s
% 0.21/0.49 # System time : 0.006 s
% 0.21/0.49 # Total time : 0.014 s
% 0.21/0.49 # Maximum resident set size: 1724 pages
% 0.21/0.49 % E---3.1 exiting
% 0.21/0.49 % E exiting
%------------------------------------------------------------------------------