TSTP Solution File: SEV070^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV070^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 04:07:31 EDT 2024
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 4 unt; 7 typ; 0 def)
% Number of atoms : 15 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 148 ( 19 ~; 19 |; 14 &; 82 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 26 ( 0 ^ 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
cS: $i > $i ).
thf(decl_23,type,
esk1_0: $i ).
thf(decl_24,type,
esk2_0: $i ).
thf(decl_25,type,
esk3_0: $i ).
thf(decl_26,type,
esk4_1: ( $i > $o ) > $i ).
thf(decl_27,type,
esk5_1: ( $i > $o ) > $i ).
thf(decl_28,type,
epred1_0: $i > $o ).
thf(cTHM577_pme,conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( ! [X4: $i > $o] :
( ( ( X4 @ X1 )
& ! [X5: $i] :
( ( X4 @ X5 )
=> ( X4 @ ( cS @ X5 ) ) ) )
=> ( X4 @ X2 ) )
& ! [X4: $i > $o] :
( ( ( X4 @ X2 )
& ! [X5: $i] :
( ( X4 @ X5 )
=> ( X4 @ ( cS @ X5 ) ) ) )
=> ( X4 @ X3 ) ) )
=> ! [X4: $i > $o] :
( ( ( X4 @ X1 )
& ! [X5: $i] :
( ( X4 @ X5 )
=> ( X4 @ ( cS @ X5 ) ) ) )
=> ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM577_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: $i,X2: $i,X3: $i] :
( ( ! [X4: $i > $o] :
( ( ( X4 @ X1 )
& ! [X5: $i] :
( ( X4 @ X5 )
=> ( X4 @ ( cS @ X5 ) ) ) )
=> ( X4 @ X2 ) )
& ! [X4: $i > $o] :
( ( ( X4 @ X2 )
& ! [X5: $i] :
( ( X4 @ X5 )
=> ( X4 @ ( cS @ X5 ) ) ) )
=> ( X4 @ X3 ) ) )
=> ! [X4: $i > $o] :
( ( ( X4 @ X1 )
& ! [X5: $i] :
( ( X4 @ X5 )
=> ( X4 @ ( cS @ X5 ) ) ) )
=> ( X4 @ X3 ) ) ),
inference(assume_negation,[status(cth)],[cTHM577_pme]) ).
thf(c_0_2,negated_conjecture,
! [X18: $i > $o,X20: $i > $o,X23: $i] :
( ( ( X18 @ ( esk4_1 @ X18 ) )
| ~ ( X18 @ esk1_0 )
| ( X18 @ esk2_0 ) )
& ( ~ ( X18 @ ( cS @ ( esk4_1 @ X18 ) ) )
| ~ ( X18 @ esk1_0 )
| ( X18 @ esk2_0 ) )
& ( ( X20 @ ( esk5_1 @ X20 ) )
| ~ ( X20 @ esk2_0 )
| ( X20 @ esk3_0 ) )
& ( ~ ( X20 @ ( cS @ ( esk5_1 @ X20 ) ) )
| ~ ( X20 @ esk2_0 )
| ( X20 @ esk3_0 ) )
& ( epred1_0 @ esk1_0 )
& ( ~ ( epred1_0 @ X23 )
| ( epred1_0 @ ( cS @ X23 ) ) )
& ~ ( epred1_0 @ esk3_0 ) ),
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,
! [X4: $i > $o] :
( ( X4 @ esk2_0 )
| ~ ( X4 @ ( cS @ ( esk4_1 @ X4 ) ) )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ ( cS @ X1 ) )
| ~ ( epred1_0 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
epred1_0 @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X4: $i > $o] :
( ( X4 @ ( esk4_1 @ X4 ) )
| ( X4 @ esk2_0 )
| ~ ( X4 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ ( esk4_1 @ epred1_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]) ).
thf(c_0_8,negated_conjecture,
! [X4: $i > $o] :
( ( X4 @ esk3_0 )
| ~ ( X4 @ ( cS @ ( esk5_1 @ X4 ) ) )
| ~ ( X4 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
epred1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_5]),c_0_7]) ).
thf(c_0_10,negated_conjecture,
~ ( epred1_0 @ esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X4: $i > $o] :
( ( X4 @ ( esk5_1 @ X4 ) )
| ( X4 @ esk3_0 )
| ~ ( X4 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
~ ( epred1_0 @ ( esk5_1 @ epred1_0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_4]),c_0_9])]),c_0_10]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_12]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV070^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 19:03:08 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.19/0.47 Running higher-order theorem proving
% 0.19/0.47 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/benchmark/theBenchmark.p
% 0.19/0.48 # Version: 3.1.0-ho
% 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.19/0.48 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_9 with 300s (1) cores
% 0.19/0.48 # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.48 # Starting post_as_ho4 with 300s (1) cores
% 0.19/0.48 # Starting post_as_ho2 with 300s (1) cores
% 0.19/0.48 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.19/0.48 # Starting full_lambda_10 with 300s (1) cores
% 0.19/0.48 # Starting new_ho_8 with 300s (1) cores
% 0.19/0.48 # new_bool_9 with pid 12935 completed with status 0
% 0.19/0.48 # Result found by new_bool_9
% 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.19/0.48 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_9 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.19/0.48 # Search class: HGUNF-FFSF11-SSSFFMBN
% 0.19/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting ehoh_best_nonlift_nonlambdatoforall with 163s (1) cores
% 0.19/0.48 # ehoh_best_nonlift_nonlambdatoforall with pid 12942 completed with status 0
% 0.19/0.48 # Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.19/0.48 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_9 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.19/0.48 # Search class: HGUNF-FFSF11-SSSFFMBN
% 0.19/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting ehoh_best_nonlift_nonlambdatoforall with 163s (1) cores
% 0.19/0.48 # Preprocessing time : 0.001 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Theorem
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.48 # Parsed axioms : 2
% 0.19/0.48 # Removed by relevancy pruning/SinE : 1
% 0.19/0.48 # Initial clauses : 7
% 0.19/0.48 # Removed in clause preprocessing : 0
% 0.19/0.48 # Initial clauses in saturation : 7
% 0.19/0.48 # Processed clauses : 20
% 0.19/0.48 # ...of these trivial : 0
% 0.19/0.48 # ...subsumed : 0
% 0.19/0.48 # ...remaining for further processing : 20
% 0.19/0.48 # Other redundant clauses eliminated : 0
% 0.19/0.48 # Clauses deleted for lack of memory : 0
% 0.19/0.48 # Backward-subsumed : 0
% 0.19/0.48 # Backward-rewritten : 1
% 0.19/0.48 # Generated clauses : 23
% 0.19/0.48 # ...of the previous two non-redundant : 13
% 0.19/0.48 # ...aggressively subsumed : 0
% 0.19/0.48 # Contextual simplify-reflections : 1
% 0.19/0.48 # Paramodulations : 6
% 0.19/0.48 # Factorizations : 0
% 0.19/0.48 # NegExts : 0
% 0.19/0.48 # Equation resolutions : 0
% 0.19/0.48 # Disequality decompositions : 0
% 0.19/0.48 # Total rewrite steps : 3
% 0.19/0.48 # ...of those cached : 1
% 0.19/0.48 # Propositional unsat checks : 0
% 0.19/0.48 # Propositional check models : 0
% 0.19/0.48 # Propositional check unsatisfiable : 0
% 0.19/0.48 # Propositional clauses : 0
% 0.19/0.48 # Propositional clauses after purity: 0
% 0.19/0.48 # Propositional unsat core size : 0
% 0.19/0.48 # Propositional preprocessing time : 0.000
% 0.19/0.48 # Propositional encoding time : 0.000
% 0.19/0.48 # Propositional solver time : 0.000
% 0.19/0.48 # Success case prop preproc time : 0.000
% 0.19/0.48 # Success case prop encoding time : 0.000
% 0.19/0.48 # Success case prop solver time : 0.000
% 0.19/0.48 # Current number of processed clauses : 12
% 0.19/0.48 # Positive orientable unit clauses : 2
% 0.19/0.48 # Positive unorientable unit clauses: 0
% 0.19/0.48 # Negative unit clauses : 2
% 0.19/0.48 # Non-unit-clauses : 8
% 0.19/0.48 # Current number of unprocessed clauses: 5
% 0.19/0.48 # ...number of literals in the above : 10
% 0.19/0.48 # Current number of archived formulas : 0
% 0.19/0.48 # Current number of archived clauses : 8
% 0.19/0.48 # Clause-clause subsumption calls (NU) : 1
% 0.19/0.48 # Rec. Clause-clause subsumption calls : 1
% 0.19/0.48 # Non-unit clause-clause subsumptions : 1
% 0.19/0.48 # Unit Clause-clause subsumption calls : 0
% 0.19/0.48 # Rewrite failures with RHS unbound : 0
% 0.19/0.48 # BW rewrite match attempts : 1
% 0.19/0.48 # BW rewrite match successes : 1
% 0.19/0.48 # Condensation attempts : 0
% 0.19/0.48 # Condensation successes : 0
% 0.19/0.48 # Termbank termtop insertions : 1272
% 0.19/0.48 # Search garbage collected termcells : 278
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.003 s
% 0.19/0.48 # System time : 0.002 s
% 0.19/0.48 # Total time : 0.004 s
% 0.19/0.48 # Maximum resident set size: 1792 pages
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.005 s
% 0.19/0.48 # System time : 0.002 s
% 0.19/0.48 # Total time : 0.007 s
% 0.19/0.48 # Maximum resident set size: 1700 pages
% 0.19/0.48 % E---3.1 exiting
% 0.19/0.48 % E exiting
%------------------------------------------------------------------------------