TSTP Solution File: SEV097^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV097^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 04:07:35 EDT 2024
% Result : Theorem 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 15 ( 3 unt; 9 typ; 0 def)
% Number of atoms : 45 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 142 ( 12 ~; 9 |; 20 &; 91 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 ^ 40 !; 4 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_22,type,
z: a ).
thf(decl_23,type,
cR: a > a > $o ).
thf(decl_24,type,
f: a > b > $o ).
thf(decl_25,type,
cS: b > b > $o ).
thf(decl_26,type,
esk1_1: a > b ).
thf(decl_27,type,
esk2_0: a ).
thf(decl_28,type,
esk3_1: b > a ).
thf(cTHM552C_pme,conjecture,
( ( ! [X1: a,X2: a,X3: a] :
( ( ( cR @ X1 @ X2 )
& ( cR @ X3 @ X2 ) )
=> ( cR @ X1 @ X3 ) )
& ! [X4: a] : ( cR @ X4 @ X4 ) )
=> ( ( ! [X4: a] :
? [X5: b] : ( f @ X4 @ X5 )
& ! [X4: a,X6: b,X7: b] :
( ( ( f @ X4 @ X6 )
& ( f @ X4 @ X7 ) )
=> ( cS @ X6 @ X7 ) )
& ! [X8: a,X9: a,X5: b] :
( ( ( f @ X8 @ X5 )
& ( f @ X9 @ X5 ) )
=> ( cR @ X8 @ X9 ) ) )
=> ! [X4: a] :
? [X5: b] :
! [X3: a] :
( ( f @ X4 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X4 @ z ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM552C_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: a,X2: a,X3: a] :
( ( ( cR @ X1 @ X2 )
& ( cR @ X3 @ X2 ) )
=> ( cR @ X1 @ X3 ) )
& ! [X4: a] : ( cR @ X4 @ X4 ) )
=> ( ( ! [X4: a] :
? [X5: b] : ( f @ X4 @ X5 )
& ! [X4: a,X6: b,X7: b] :
( ( ( f @ X4 @ X6 )
& ( f @ X4 @ X7 ) )
=> ( cS @ X6 @ X7 ) )
& ! [X8: a,X9: a,X5: b] :
( ( ( f @ X8 @ X5 )
& ( f @ X9 @ X5 ) )
=> ( cR @ X8 @ X9 ) ) )
=> ! [X4: a] :
? [X5: b] :
! [X3: a] :
( ( f @ X4 @ X5 )
| ( ~ ( f @ X3 @ X5 )
& ( cR @ X4 @ z ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM552C_pme])]) ).
thf(c_0_2,negated_conjecture,
! [X25: a,X26: a,X27: a,X28: a,X29: a,X31: a,X32: b,X33: b,X34: a,X35: a,X36: b,X38: b] :
( ( ~ ( cR @ X25 @ X26 )
| ~ ( cR @ X27 @ X26 )
| ( cR @ X25 @ X27 ) )
& ( cR @ X28 @ X28 )
& ( f @ X29 @ ( esk1_1 @ X29 ) )
& ( ~ ( f @ X31 @ X32 )
| ~ ( f @ X31 @ X33 )
| ( cS @ X32 @ X33 ) )
& ( ~ ( f @ X34 @ X36 )
| ~ ( f @ X35 @ X36 )
| ( cR @ X34 @ X35 ) )
& ~ ( f @ esk2_0 @ X38 )
& ( ( f @ ( esk3_1 @ X38 ) @ X38 )
| ~ ( cR @ esk2_0 @ z ) ) ),
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,
! [X5: b] :
~ ( f @ esk2_0 @ X5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: a] : ( f @ X1 @ ( esk1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_3,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEV097^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun May 19 18:31:52 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 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
% 0.19/0.47 # Version: 3.1.0-ho
% 0.19/0.47 # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.19/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.47 # Starting full_lambda_5 with 300s (1) cores
% 0.19/0.47 # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.47 # new_bool_1 with pid 21958 completed with status 0
% 0.19/0.47 # Result found by new_bool_1
% 0.19/0.47 # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.19/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47 # Search class: HHUNS-FFSF11-SFFFFFNN
% 0.19/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47 # Starting new_ho_10 with 181s (1) cores
% 0.19/0.47 # new_ho_10 with pid 21962 completed with status 0
% 0.19/0.47 # Result found by new_ho_10
% 0.19/0.47 # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.19/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47 # Search class: HHUNS-FFSF11-SFFFFFNN
% 0.19/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47 # Starting new_ho_10 with 181s (1) cores
% 0.19/0.47 # Preprocessing time : 0.001 s
% 0.19/0.47 # Presaturation interreduction done
% 0.19/0.47
% 0.19/0.47 # Proof found!
% 0.19/0.47 # SZS status Theorem
% 0.19/0.47 # SZS output start CNFRefutation
% See solution above
% 0.19/0.47 # Parsed axioms : 7
% 0.19/0.47 # Removed by relevancy pruning/SinE : 6
% 0.19/0.47 # Initial clauses : 7
% 0.19/0.47 # Removed in clause preprocessing : 0
% 0.19/0.47 # Initial clauses in saturation : 7
% 0.19/0.47 # Processed clauses : 10
% 0.19/0.47 # ...of these trivial : 0
% 0.19/0.47 # ...subsumed : 0
% 0.19/0.47 # ...remaining for further processing : 10
% 0.19/0.47 # Other redundant clauses eliminated : 0
% 0.19/0.47 # Clauses deleted for lack of memory : 0
% 0.19/0.47 # Backward-subsumed : 0
% 0.19/0.47 # Backward-rewritten : 0
% 0.19/0.47 # Generated clauses : 1
% 0.19/0.47 # ...of the previous two non-redundant : 0
% 0.19/0.47 # ...aggressively subsumed : 0
% 0.19/0.47 # Contextual simplify-reflections : 0
% 0.19/0.47 # Paramodulations : 1
% 0.19/0.47 # Factorizations : 0
% 0.19/0.47 # NegExts : 0
% 0.19/0.47 # Equation resolutions : 0
% 0.19/0.47 # Disequality decompositions : 0
% 0.19/0.47 # Total rewrite steps : 0
% 0.19/0.47 # ...of those cached : 0
% 0.19/0.47 # Propositional unsat checks : 0
% 0.19/0.47 # Propositional check models : 0
% 0.19/0.47 # Propositional check unsatisfiable : 0
% 0.19/0.47 # Propositional clauses : 0
% 0.19/0.47 # Propositional clauses after purity: 0
% 0.19/0.47 # Propositional unsat core size : 0
% 0.19/0.47 # Propositional preprocessing time : 0.000
% 0.19/0.47 # Propositional encoding time : 0.000
% 0.19/0.47 # Propositional solver time : 0.000
% 0.19/0.47 # Success case prop preproc time : 0.000
% 0.19/0.47 # Success case prop encoding time : 0.000
% 0.19/0.47 # Success case prop solver time : 0.000
% 0.19/0.47 # Current number of processed clauses : 3
% 0.19/0.47 # Positive orientable unit clauses : 2
% 0.19/0.47 # Positive unorientable unit clauses: 0
% 0.19/0.47 # Negative unit clauses : 1
% 0.19/0.47 # Non-unit-clauses : 0
% 0.19/0.47 # Current number of unprocessed clauses: 4
% 0.19/0.47 # ...number of literals in the above : 11
% 0.19/0.47 # Current number of archived formulas : 0
% 0.19/0.47 # Current number of archived clauses : 7
% 0.19/0.47 # Clause-clause subsumption calls (NU) : 3
% 0.19/0.47 # Rec. Clause-clause subsumption calls : 3
% 0.19/0.47 # Non-unit clause-clause subsumptions : 0
% 0.19/0.47 # Unit Clause-clause subsumption calls : 0
% 0.19/0.47 # Rewrite failures with RHS unbound : 0
% 0.19/0.47 # BW rewrite match attempts : 0
% 0.19/0.47 # BW rewrite match successes : 0
% 0.19/0.47 # Condensation attempts : 10
% 0.19/0.47 # Condensation successes : 0
% 0.19/0.47 # Termbank termtop insertions : 810
% 0.19/0.47 # Search garbage collected termcells : 338
% 0.19/0.47
% 0.19/0.47 # -------------------------------------------------
% 0.19/0.47 # User time : 0.004 s
% 0.19/0.47 # System time : 0.001 s
% 0.19/0.47 # Total time : 0.005 s
% 0.19/0.47 # Maximum resident set size: 1736 pages
% 0.19/0.47
% 0.19/0.47 # -------------------------------------------------
% 0.19/0.47 # User time : 0.005 s
% 0.19/0.47 # System time : 0.003 s
% 0.19/0.47 # Total time : 0.008 s
% 0.19/0.47 # Maximum resident set size: 1720 pages
% 0.19/0.47 % E---3.1 exiting
% 0.19/0.47 % E exiting
%------------------------------------------------------------------------------