TSTP Solution File: SEV054^5 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SEV054^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 15:53:23 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 133 ( 9 ~; 7 |; 11 &; 92 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 1 ^ 37 !; 2 ?; 40 :)
% 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,
esk3_0: a > a ).
thf(cTHM403_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 ) ) ) )
=> ! [X9: a > a] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) )
=> ? [X10: a] : ( X1 @ ( X9 @ X10 ) @ X10 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Tw1uaT0lP0/E---3.1_23027.p',cTHM403_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 ) ) ) )
=> ! [X9: a > a] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) )
=> ? [X10: a] : ( X1 @ ( X9 @ X10 ) @ X10 ) ) ),
inference(assume_negation,[status(cth)],[cTHM403_pme]) ).
thf(c_0_2,negated_conjecture,
! [X26: a,X27: a,X28: a,X29: a > $o,X30: a,X31: a,X34: a,X35: a,X36: a] :
( ( ~ ( epred1_0 @ X26 @ X27 )
| ~ ( epred1_0 @ X27 @ X28 )
| ( epred1_0 @ X26 @ X28 ) )
& ( ~ ( X29 @ X30 )
| ( epred1_0 @ X30 @ ( esk1_0 @ X29 ) ) )
& ( ( X29 @ ( esk2_2 @ X29 @ X31 ) )
| ( epred1_0 @ ( esk1_0 @ X29 ) @ X31 ) )
& ( ~ ( epred1_0 @ ( esk2_2 @ X29 @ X31 ) @ X31 )
| ( epred1_0 @ ( esk1_0 @ X29 ) @ X31 ) )
& ( ~ ( epred1_0 @ X34 @ X35 )
| ( epred1_0 @ ( esk3_0 @ X34 ) @ ( esk3_0 @ X35 ) ) )
& ~ ( epred1_0 @ ( esk3_0 @ X36 ) @ X36 ) ),
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] :
~ ( epred1_0 @ ( esk3_0 @ X3 ) @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X3: a] :
( epred1_0 @ X3
@ ( esk1_0
@ ^ [Z0: a] : $true ) ),
inference(primitive_enumeration,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_4,c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV054^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n022.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 Jun 21 18:48:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.49 Running higher-order theorem proving
% 0.21/0.49 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.Tw1uaT0lP0/E---3.1_23027.p
% 0.21/0.51 # Version: 3.2.0-ho
% 0.21/0.51 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.21/0.51 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting sh2lt with 1200s (4) cores
% 0.21/0.51 # Starting new_ho_10_unif with 300s (1) cores
% 0.21/0.51 # Starting full_lambda_6 with 300s (1) cores
% 0.21/0.51 # Starting post_as_ho1 with 300s (1) cores
% 0.21/0.51 # Starting ehoh_best3_rw with 300s (1) cores
% 0.21/0.51 # sh2lt with pid 23110 completed with status 0
% 0.21/0.51 # Result found by sh2lt
% 0.21/0.51 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.21/0.51 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting sh2lt with 1200s (4) cores
% 0.21/0.51 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.21/0.51 # Search class: HGUNF-FFSF22-SHHFFSBN
% 0.21/0.51 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 0.21/0.51 # Starting ho_unfolding_3 with 649s (1) cores
% 0.21/0.51 # Starting sh2lt with 121s (1) cores
% 0.21/0.51 # Starting lpo8_lambda_fix with 109s (1) cores
% 0.21/0.51 # Starting full_lambda_5 with 109s (1) cores
% 0.21/0.51 # sh2lt with pid 23119 completed with status 0
% 0.21/0.51 # Result found by sh2lt
% 0.21/0.51 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.21/0.51 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting sh2lt with 1200s (4) cores
% 0.21/0.51 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.21/0.51 # Search class: HGUNF-FFSF22-SHHFFSBN
% 0.21/0.51 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 0.21/0.51 # Starting ho_unfolding_3 with 649s (1) cores
% 0.21/0.51 # Starting sh2lt with 121s (1) cores
% 0.21/0.51 # Preprocessing time : 0.001 s
% 0.21/0.51 # Presaturation interreduction done
% 0.21/0.51
% 0.21/0.51 # Proof found!
% 0.21/0.51 # SZS status Theorem
% 0.21/0.51 # SZS output start CNFRefutation
% See solution above
% 0.21/0.51 # Parsed axioms : 2
% 0.21/0.51 # Removed by relevancy pruning/SinE : 1
% 0.21/0.51 # Initial clauses : 6
% 0.21/0.51 # Removed in clause preprocessing : 0
% 0.21/0.51 # Initial clauses in saturation : 6
% 0.21/0.51 # Processed clauses : 13
% 0.21/0.51 # ...of these trivial : 0
% 0.21/0.51 # ...subsumed : 1
% 0.21/0.51 # ...remaining for further processing : 12
% 0.21/0.51 # Other redundant clauses eliminated : 0
% 0.21/0.51 # Clauses deleted for lack of memory : 0
% 0.21/0.51 # Backward-subsumed : 0
% 0.21/0.51 # Backward-rewritten : 0
% 0.21/0.51 # Generated clauses : 9
% 0.21/0.51 # ...of the previous two non-redundant : 5
% 0.21/0.51 # ...aggressively subsumed : 0
% 0.21/0.51 # Contextual simplify-reflections : 0
% 0.21/0.51 # Paramodulations : 7
% 0.21/0.51 # Factorizations : 0
% 0.21/0.51 # NegExts : 0
% 0.21/0.51 # Equation resolutions : 0
% 0.21/0.51 # Disequality decompositions : 0
% 0.21/0.51 # Total rewrite steps : 0
% 0.21/0.51 # ...of those cached : 0
% 0.21/0.51 # Propositional unsat checks : 0
% 0.21/0.51 # Propositional check models : 0
% 0.21/0.51 # Propositional check unsatisfiable : 0
% 0.21/0.51 # Propositional clauses : 0
% 0.21/0.51 # Propositional clauses after purity: 0
% 0.21/0.51 # Propositional unsat core size : 0
% 0.21/0.51 # Propositional preprocessing time : 0.000
% 0.21/0.51 # Propositional encoding time : 0.000
% 0.21/0.51 # Propositional solver time : 0.000
% 0.21/0.51 # Success case prop preproc time : 0.000
% 0.21/0.51 # Success case prop encoding time : 0.000
% 0.21/0.51 # Success case prop solver time : 0.000
% 0.21/0.51 # Current number of processed clauses : 6
% 0.21/0.51 # Positive orientable unit clauses : 1
% 0.21/0.51 # Positive unorientable unit clauses: 0
% 0.21/0.51 # Negative unit clauses : 1
% 0.21/0.51 # Non-unit-clauses : 4
% 0.21/0.51 # Current number of unprocessed clauses: 3
% 0.21/0.51 # ...number of literals in the above : 7
% 0.21/0.51 # Current number of archived formulas : 0
% 0.21/0.51 # Current number of archived clauses : 6
% 0.21/0.51 # Clause-clause subsumption calls (NU) : 3
% 0.21/0.51 # Rec. Clause-clause subsumption calls : 3
% 0.21/0.51 # Non-unit clause-clause subsumptions : 0
% 0.21/0.51 # Unit Clause-clause subsumption calls : 0
% 0.21/0.51 # Rewrite failures with RHS unbound : 0
% 0.21/0.51 # BW rewrite match attempts : 0
% 0.21/0.51 # BW rewrite match successes : 0
% 0.21/0.51 # Condensation attempts : 0
% 0.21/0.51 # Condensation successes : 0
% 0.21/0.51 # Termbank termtop insertions : 1017
% 0.21/0.51 # Search garbage collected termcells : 354
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.003 s
% 0.21/0.51 # System time : 0.003 s
% 0.21/0.51 # Total time : 0.006 s
% 0.21/0.51 # Maximum resident set size: 1904 pages
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.012 s
% 0.21/0.51 # System time : 0.007 s
% 0.21/0.51 # Total time : 0.019 s
% 0.21/0.51 # Maximum resident set size: 1728 pages
% 0.21/0.51 % E---3.1 exiting
% 0.21/0.51 % E exiting
%------------------------------------------------------------------------------