TSTP Solution File: SYO271^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO271^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 08:45:19 EDT 2024
% Result : Theorem 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 22 ( 21 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 82 ( 16 ~; 2 |; 2 &; 56 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 10 ^ 11 !; 2 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_22,type,
cJ: ( b > $o ) > b ).
thf(decl_23,type,
esk1_0: b > a ).
thf(decl_24,type,
esk2_0: b > a ).
thf(decl_25,type,
esk3_0: b ).
thf(cX5500,conjecture,
( ! [X1: b > $o] :
( ? [X2: b] : ( X1 @ X2 )
=> ( X1 @ ( cJ @ X1 ) ) )
=> ! [X3: b > a,X4: b > a] :
( ( ( X3
@ ( cJ
@ ^ [X2: b] :
( ( X3 @ X2 )
!= ( X4 @ X2 ) ) ) )
= ( X4
@ ( cJ
@ ^ [X2: b] :
( ( X3 @ X2 )
!= ( X4 @ X2 ) ) ) ) )
=> ( X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5500) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: b > $o] :
( ? [X2: b] : ( X1 @ X2 )
=> ( X1 @ ( cJ @ X1 ) ) )
=> ! [X3: b > a,X4: b > a] :
( ( ( X3
@ ( cJ
@ ^ [Z0: b] :
( ( X3 @ Z0 )
!= ( X4 @ Z0 ) ) ) )
= ( X4
@ ( cJ
@ ^ [Z0: b] :
( ( X3 @ Z0 )
!= ( X4 @ Z0 ) ) ) ) )
=> ( X3 = X4 ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cX5500])]) ).
thf(c_0_2,negated_conjecture,
! [X9: b > $o,X10: b] :
( ( ~ ( X9 @ X10 )
| ( X9 @ ( cJ @ X9 ) ) )
& ( ( esk1_0
@ ( cJ
@ ^ [Z0: b] :
( ( esk1_0 @ Z0 )
!= ( esk2_0 @ Z0 ) ) ) )
= ( esk2_0
@ ( cJ
@ ^ [Z0: b] :
( ( esk1_0 @ Z0 )
!= ( esk2_0 @ Z0 ) ) ) ) )
& ( esk1_0 != esk2_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,
( ( esk1_0
@ ( cJ
@ ^ [Z0: b] :
( ( esk1_0 @ Z0 )
!= ( esk2_0 @ Z0 ) ) ) )
= ( esk2_0
@ ( cJ
@ ^ [Z0: b] :
( ( esk1_0 @ Z0 )
!= ( esk2_0 @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( ( esk1_0
@ ( cJ
@ ^ [Z0: b] :
( ( esk1_0 @ Z0 )
!= ( esk2_0 @ Z0 ) ) ) )
= ( esk2_0
@ ( cJ
@ ^ [Z0: b] :
( ( esk1_0 @ Z0 )
!= ( esk2_0 @ Z0 ) ) ) ) ),
inference(cn,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: b > $o,X2: b] :
( ( X1 @ ( cJ @ X1 ) )
| ~ ( X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
( ( esk1_0 @ esk3_0 )
!= ( esk2_0 @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X2: b] :
( ( esk1_0 @ X2 )
= ( esk2_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(choice_inst,[status(thm)],[inference(cn,[status(thm)],[]),c_0_5,c_0_6]),c_0_5])]) ).
thf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO271^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon May 20 10:02:38 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.44 Running higher-order theorem proving
% 0.17/0.44 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
% 0.17/0.45 # Version: 3.1.0-ho
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSMCSSA.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.17/0.45 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # new_bool_3 with pid 25031 completed with status 0
% 0.17/0.45 # Result found by new_bool_3
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSMCSSA.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.17/0.45 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45 # Search class: HHUSF-FFSF11-DSSFFSBC
% 0.17/0.45 # partial match(3): HHUSF-FFSF11-SSSFFMBN
% 0.17/0.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting ehoh_best_nonlift with 163s (1) cores
% 0.17/0.45 # ehoh_best_nonlift with pid 25033 completed with status 0
% 0.17/0.45 # Result found by ehoh_best_nonlift
% 0.17/0.45 # Preprocessing class: HSSSSMSSSSMCSSA.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.17/0.45 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45 # Search class: HHUSF-FFSF11-DSSFFSBC
% 0.17/0.45 # partial match(3): HHUSF-FFSF11-SSSFFMBN
% 0.17/0.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting ehoh_best_nonlift with 163s (1) cores
% 0.17/0.45 # Preprocessing time : 0.001 s
% 0.17/0.45 # Presaturation interreduction done
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Theorem
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 4
% 0.17/0.45 # Removed by relevancy pruning/SinE : 3
% 0.17/0.45 # Initial clauses : 3
% 0.17/0.45 # Removed in clause preprocessing : 0
% 0.17/0.45 # Initial clauses in saturation : 3
% 0.17/0.45 # Processed clauses : 7
% 0.17/0.45 # ...of these trivial : 0
% 0.17/0.45 # ...subsumed : 0
% 0.17/0.45 # ...remaining for further processing : 7
% 0.17/0.45 # Other redundant clauses eliminated : 0
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 0
% 0.17/0.45 # Backward-rewritten : 2
% 0.17/0.45 # Generated clauses : 6
% 0.17/0.45 # ...of the previous two non-redundant : 5
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 0
% 0.17/0.45 # Paramodulations : 0
% 0.17/0.45 # Factorizations : 0
% 0.17/0.45 # NegExts : 1
% 0.17/0.45 # Equation resolutions : 0
% 0.17/0.45 # Disequality decompositions : 0
% 0.17/0.45 # Total rewrite steps : 4
% 0.17/0.45 # ...of those cached : 1
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 2
% 0.17/0.45 # Positive orientable unit clauses : 1
% 0.17/0.45 # Positive unorientable unit clauses: 0
% 0.17/0.45 # Negative unit clauses : 1
% 0.17/0.45 # Non-unit-clauses : 0
% 0.17/0.45 # Current number of unprocessed clauses: 4
% 0.17/0.45 # ...number of literals in the above : 7
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 5
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 0
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 0
% 0.17/0.45 # Non-unit clause-clause subsumptions : 0
% 0.17/0.45 # Unit Clause-clause subsumption calls : 1
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 3
% 0.17/0.45 # BW rewrite match successes : 2
% 0.17/0.45 # Condensation attempts : 0
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 480
% 0.17/0.45 # Search garbage collected termcells : 119
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.002 s
% 0.17/0.45 # System time : 0.001 s
% 0.17/0.45 # Total time : 0.003 s
% 0.17/0.45 # Maximum resident set size: 1756 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.004 s
% 0.17/0.45 # System time : 0.001 s
% 0.17/0.45 # Total time : 0.006 s
% 0.17/0.45 # Maximum resident set size: 1720 pages
% 0.17/0.45 % E---3.1 exiting
% 0.17/0.45 % E exiting
%------------------------------------------------------------------------------