TSTP Solution File: SEU484^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU484^1 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 03:27:33 EDT 2024
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 15 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 71 ( 13 ~; 5 |; 5 &; 40 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 4 ^ 19 !; 6 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_27,type,
refl: ( $i > $i > $o ) > $o ).
thf(decl_41,type,
term: ( $i > $i > $o ) > $o ).
thf(decl_51,type,
epred1_0: $i > $i > $o ).
thf(decl_52,type,
esk1_1: ( $i > $o ) > $i ).
thf(reflexive,axiom,
( refl
= ( ^ [X1: $i > $i > $o] :
! [X3: $i] : ( X1 @ X3 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',reflexive) ).
thf(terminating,axiom,
( term
= ( ^ [X1: $i > $i > $o] :
! [X7: $i > $o] :
( ? [X3: $i] : ( X7 @ X3 )
=> ? [X3: $i] :
( ( X7 @ X3 )
& ! [X4: $i] :
( ( X7 @ X4 )
=> ~ ( X1 @ X3 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',terminating) ).
thf(reflexive_implies_non_terminating,conjecture,
! [X1: $i > $i > $o] :
( ( refl @ X1 )
=> ~ ( term @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexive_implies_non_terminating) ).
thf(c_0_3,plain,
( refl
= ( ^ [Z0: $i > $i > $o] :
! [X3: $i] : ( Z0 @ X3 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[reflexive]) ).
thf(c_0_4,plain,
( term
= ( ^ [Z0: $i > $i > $o] :
! [X7: $i > $o] :
( ? [X3: $i] : ( X7 @ X3 )
=> ? [X3: $i] :
( ( X7 @ X3 )
& ! [X4: $i] :
( ( X7 @ X4 )
=> ~ ( Z0 @ X3 @ X4 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[terminating]) ).
thf(c_0_5,negated_conjecture,
~ ! [X1: $i > $i > $o] :
( ! [X158: $i] : ( X1 @ X158 @ X158 )
=> ~ ! [X159: $i > $o] :
( ? [X160: $i] : ( X159 @ X160 )
=> ? [X161: $i] :
( ( X159 @ X161 )
& ! [X162: $i] :
( ( X159 @ X162 )
=> ~ ( X1 @ X161 @ X162 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[reflexive_implies_non_terminating]),c_0_3]),c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X164: $i,X165: $i > $o,X166: $i,X168: $i] :
( ( epred1_0 @ X164 @ X164 )
& ( ( X165 @ ( esk1_1 @ X165 ) )
| ~ ( X165 @ X166 ) )
& ( ~ ( X165 @ X168 )
| ~ ( epred1_0 @ ( esk1_1 @ X165 ) @ X168 )
| ~ ( X165 @ X166 ) ) ),
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_5])])])])])]) ).
thf(c_0_7,negated_conjecture,
! [X3: $i,X7: $i > $o,X4: $i] :
( ~ ( X7 @ X3 )
| ~ ( epred1_0 @ ( esk1_1 @ X7 ) @ X3 )
| ~ ( X7 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_8,negated_conjecture,
! [X3: $i] : ( epred1_0 @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU484^1 : TPTP v8.2.0. Released v3.6.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n019.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 : Sun May 19 16:23:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running higher-order theorem proving
% 0.18/0.45 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
% 0.18/0.47 # Version: 3.1.0-ho
% 0.18/0.47 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting new_ho_9 with 1500s (5) cores
% 0.18/0.47 # Starting post_as_ho1 with 300s (1) cores
% 0.18/0.47 # Starting sh1l with 300s (1) cores
% 0.18/0.47 # Starting post_as_ho10 with 300s (1) cores
% 0.18/0.47 # post_as_ho1 with pid 30397 completed with status 0
% 0.18/0.47 # Result found by post_as_ho1
% 0.18/0.47 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting new_ho_9 with 1500s (5) cores
% 0.18/0.47 # Starting post_as_ho1 with 300s (1) cores
% 0.18/0.47 # No SInE strategy applied
% 0.18/0.47 # Search class: HHHNF-FFSF11-SHSSMMBC
% 0.18/0.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting new_ho_10 with 135s (1) cores
% 0.18/0.47 # new_ho_10 with pid 30400 completed with status 0
% 0.18/0.47 # Result found by new_ho_10
% 0.18/0.47 # Preprocessing class: HSSSSMSSMLSNHSN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting new_ho_9 with 1500s (5) cores
% 0.18/0.47 # Starting post_as_ho1 with 300s (1) cores
% 0.18/0.47 # No SInE strategy applied
% 0.18/0.47 # Search class: HHHNF-FFSF11-SHSSMMBC
% 0.18/0.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting new_ho_10 with 135s (1) cores
% 0.18/0.47 # Preprocessing time : 0.001 s
% 0.18/0.47 # Presaturation interreduction done
% 0.18/0.47
% 0.18/0.47 # Proof found!
% 0.18/0.47 # SZS status Theorem
% 0.18/0.47 # SZS output start CNFRefutation
% See solution above
% 0.18/0.47 # Parsed axioms : 59
% 0.18/0.47 # Removed by relevancy pruning/SinE : 0
% 0.18/0.47 # Initial clauses : 32
% 0.18/0.47 # Removed in clause preprocessing : 29
% 0.18/0.47 # Initial clauses in saturation : 3
% 0.18/0.47 # Processed clauses : 7
% 0.18/0.47 # ...of these trivial : 0
% 0.18/0.47 # ...subsumed : 0
% 0.18/0.47 # ...remaining for further processing : 6
% 0.18/0.47 # Other redundant clauses eliminated : 0
% 0.18/0.47 # Clauses deleted for lack of memory : 0
% 0.18/0.47 # Backward-subsumed : 0
% 0.18/0.47 # Backward-rewritten : 0
% 0.18/0.47 # Generated clauses : 2
% 0.18/0.47 # ...of the previous two non-redundant : 2
% 0.18/0.47 # ...aggressively subsumed : 0
% 0.18/0.47 # Contextual simplify-reflections : 0
% 0.18/0.47 # Paramodulations : 2
% 0.18/0.47 # Factorizations : 0
% 0.18/0.47 # NegExts : 0
% 0.18/0.47 # Equation resolutions : 0
% 0.18/0.47 # Disequality decompositions : 0
% 0.18/0.47 # Total rewrite steps : 0
% 0.18/0.47 # ...of those cached : 0
% 0.18/0.47 # Propositional unsat checks : 0
% 0.18/0.47 # Propositional check models : 0
% 0.18/0.47 # Propositional check unsatisfiable : 0
% 0.18/0.47 # Propositional clauses : 0
% 0.18/0.47 # Propositional clauses after purity: 0
% 0.18/0.47 # Propositional unsat core size : 0
% 0.18/0.47 # Propositional preprocessing time : 0.000
% 0.18/0.47 # Propositional encoding time : 0.000
% 0.18/0.47 # Propositional solver time : 0.000
% 0.18/0.47 # Success case prop preproc time : 0.000
% 0.18/0.47 # Success case prop encoding time : 0.000
% 0.18/0.47 # Success case prop solver time : 0.000
% 0.18/0.47 # Current number of processed clauses : 3
% 0.18/0.47 # Positive orientable unit clauses : 1
% 0.18/0.47 # Positive unorientable unit clauses: 0
% 0.18/0.47 # Negative unit clauses : 0
% 0.18/0.47 # Non-unit-clauses : 2
% 0.18/0.47 # Current number of unprocessed clauses: 1
% 0.18/0.47 # ...number of literals in the above : 1
% 0.18/0.47 # Current number of archived formulas : 0
% 0.18/0.47 # Current number of archived clauses : 3
% 0.18/0.47 # Clause-clause subsumption calls (NU) : 2
% 0.18/0.47 # Rec. Clause-clause subsumption calls : 2
% 0.18/0.47 # Non-unit clause-clause subsumptions : 0
% 0.18/0.47 # Unit Clause-clause subsumption calls : 0
% 0.18/0.47 # Rewrite failures with RHS unbound : 0
% 0.18/0.47 # BW rewrite match attempts : 0
% 0.18/0.47 # BW rewrite match successes : 0
% 0.18/0.47 # Condensation attempts : 7
% 0.18/0.47 # Condensation successes : 0
% 0.18/0.47 # Termbank termtop insertions : 2984
% 0.18/0.47 # Search garbage collected termcells : 704
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.003 s
% 0.18/0.47 # System time : 0.003 s
% 0.18/0.47 # Total time : 0.006 s
% 0.18/0.47 # Maximum resident set size: 2160 pages
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.007 s
% 0.18/0.47 # System time : 0.003 s
% 0.18/0.47 # Total time : 0.010 s
% 0.18/0.47 # Maximum resident set size: 1788 pages
% 0.18/0.47 % E---3.1 exiting
% 0.18/0.47 % E exiting
%------------------------------------------------------------------------------