TSTP Solution File: SEV273^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV273^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 04:08:07 EDT 2024
% Result : Theorem 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 5 unt; 5 typ; 0 def)
% Number of atoms : 19 ( 6 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 104 ( 14 ~; 12 |; 10 &; 58 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 1 ^ 21 !; 4 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
cR: a > a > $o ).
thf(decl_23,type,
esk1_1: ( a > $o ) > a ).
thf(decl_24,type,
esk2_2: ( a > $o ) > a > a ).
thf(decl_25,type,
esk3_0: a ).
thf(cTHM542_pme,conjecture,
( ! [X1: a > $o] :
( ? [X2: a] : ( X1 @ X2 )
=> ? [X2: a] :
( ( X1 @ X2 )
& ! [X3: a] :
( ( X1 @ X3 )
=> ( cR @ X2 @ X3 ) )
& ! [X4: a] :
( ( ( X1 @ X4 )
& ! [X3: a] :
( ( X1 @ X3 )
=> ( cR @ X4 @ X3 ) ) )
=> ( X4 = X2 ) ) ) )
=> ! [X3: a] : ( cR @ X3 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM542_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: a > $o] :
( ? [X2: a] : ( X1 @ X2 )
=> ? [X2: a] :
( ( X1 @ X2 )
& ! [X3: a] :
( ( X1 @ X3 )
=> ( cR @ X2 @ X3 ) )
& ! [X4: a] :
( ( ( X1 @ X4 )
& ! [X3: a] :
( ( X1 @ X3 )
=> ( cR @ X4 @ X3 ) ) )
=> ( X4 = X2 ) ) ) )
=> ! [X3: a] : ( cR @ X3 @ X3 ) ),
inference(assume_negation,[status(cth)],[cTHM542_pme]) ).
thf(c_0_2,negated_conjecture,
! [X12: a > $o,X13: a,X15: a,X16: a] :
( ( ( X12 @ ( esk1_1 @ X12 ) )
| ~ ( X12 @ X13 ) )
& ( ~ ( X12 @ X15 )
| ( cR @ ( esk1_1 @ X12 ) @ X15 )
| ~ ( X12 @ X13 ) )
& ( ( X12 @ ( esk2_2 @ X12 @ X16 ) )
| ~ ( X12 @ X16 )
| ( X16
= ( esk1_1 @ X12 ) )
| ~ ( X12 @ X13 ) )
& ( ~ ( cR @ X16 @ ( esk2_2 @ X12 @ X16 ) )
| ~ ( X12 @ X16 )
| ( X16
= ( esk1_1 @ X12 ) )
| ~ ( X12 @ X13 ) )
& ~ ( cR @ esk3_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,
! [X1: a > $o,X2: a] :
( ( X1 @ ( esk1_1 @ X1 ) )
| ~ ( X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: a > $o,X2: a,X3: a] :
( ( cR @ ( esk1_1 @ X1 ) @ X2 )
| ~ ( X1 @ X2 )
| ~ ( X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X2: a] :
( ( esk1_1
@ ^ [Z0: a] : ( Z0 = X2 ) )
= X2 ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_3]) ).
thf(c_0_6,negated_conjecture,
~ ( cR @ esk3_0 @ esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X2: a] : ( cR @ X2 @ X2 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5])])])]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEV273^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n009.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 19:22:38 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.43 Running higher-order theorem proving
% 0.16/0.43 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
% 0.16/0.44 # Version: 3.1.0-ho
% 0.16/0.44 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.16/0.44 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting post_as_ho12 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_9 with 300s (1) cores
% 0.16/0.44 # Starting post_as_ho1 with 300s (1) cores
% 0.16/0.44 # Starting post_as_ho4 with 300s (1) cores
% 0.16/0.44 # Starting post_as_ho2 with 300s (1) cores
% 0.16/0.44 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.16/0.44 # Starting full_lambda_10 with 300s (1) cores
% 0.16/0.44 # Starting new_ho_8 with 300s (1) cores
% 0.16/0.44 # new_ho_8 with pid 32417 completed with status 0
% 0.16/0.44 # Result found by new_ho_8
% 0.16/0.44 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.16/0.44 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting post_as_ho12 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_9 with 300s (1) cores
% 0.16/0.44 # Starting post_as_ho1 with 300s (1) cores
% 0.16/0.44 # Starting post_as_ho4 with 300s (1) cores
% 0.16/0.44 # Starting post_as_ho2 with 300s (1) cores
% 0.16/0.44 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.16/0.44 # Starting full_lambda_10 with 300s (1) cores
% 0.16/0.44 # Starting new_ho_8 with 300s (1) cores
% 0.16/0.44 # SinE strategy is GSinE(CountTerms,hypos,10,,2,20000,1.0,true)
% 0.16/0.44 # Search class: HGUSF-FFSF21-SSSFFMBC
% 0.16/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting ho_unfolding_6 with 68s (1) cores
% 0.16/0.44 # ho_unfolding_6 with pid 32418 completed with status 0
% 0.16/0.44 # Result found by ho_unfolding_6
% 0.16/0.44 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.16/0.44 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting post_as_ho12 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_9 with 300s (1) cores
% 0.16/0.44 # Starting post_as_ho1 with 300s (1) cores
% 0.16/0.44 # Starting post_as_ho4 with 300s (1) cores
% 0.16/0.44 # Starting post_as_ho2 with 300s (1) cores
% 0.16/0.44 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.16/0.44 # Starting full_lambda_10 with 300s (1) cores
% 0.16/0.44 # Starting new_ho_8 with 300s (1) cores
% 0.16/0.44 # SinE strategy is GSinE(CountTerms,hypos,10,,2,20000,1.0,true)
% 0.16/0.44 # Search class: HGUSF-FFSF21-SSSFFMBC
% 0.16/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting ho_unfolding_6 with 68s (1) cores
% 0.16/0.44 # Preprocessing time : 0.001 s
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Theorem
% 0.16/0.44 # SZS output start CNFRefutation
% See solution above
% 0.16/0.44 # Parsed axioms : 3
% 0.16/0.44 # Removed by relevancy pruning/SinE : 2
% 0.16/0.44 # Initial clauses : 5
% 0.16/0.44 # Removed in clause preprocessing : 0
% 0.16/0.44 # Initial clauses in saturation : 5
% 0.16/0.44 # Processed clauses : 8
% 0.16/0.44 # ...of these trivial : 0
% 0.16/0.44 # ...subsumed : 1
% 0.16/0.44 # ...remaining for further processing : 7
% 0.16/0.44 # Other redundant clauses eliminated : 4
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 0
% 0.16/0.44 # Backward-rewritten : 1
% 0.16/0.44 # Generated clauses : 20
% 0.16/0.44 # ...of the previous two non-redundant : 11
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 0
% 0.16/0.44 # Paramodulations : 13
% 0.16/0.44 # Factorizations : 0
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 4
% 0.16/0.44 # Disequality decompositions : 0
% 0.16/0.44 # Total rewrite steps : 1
% 0.16/0.44 # ...of those cached : 0
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 6
% 0.16/0.44 # Positive orientable unit clauses : 1
% 0.16/0.44 # Positive unorientable unit clauses: 1
% 0.16/0.44 # Negative unit clauses : 0
% 0.16/0.44 # Non-unit-clauses : 4
% 0.16/0.44 # Current number of unprocessed clauses: 8
% 0.16/0.44 # ...number of literals in the above : 24
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 1
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 11
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 8
% 0.16/0.44 # Non-unit clause-clause subsumptions : 0
% 0.16/0.44 # Unit Clause-clause subsumption calls : 1
% 0.16/0.44 # Rewrite failures with RHS unbound : 0
% 0.16/0.44 # BW rewrite match attempts : 14
% 0.16/0.44 # BW rewrite match successes : 4
% 0.16/0.44 # Condensation attempts : 8
% 0.16/0.44 # Condensation successes : 0
% 0.16/0.44 # Termbank termtop insertions : 1126
% 0.16/0.44 # Search garbage collected termcells : 236
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.003 s
% 0.16/0.44 # System time : 0.001 s
% 0.16/0.44 # Total time : 0.004 s
% 0.16/0.44 # Maximum resident set size: 1740 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.003 s
% 0.16/0.44 # System time : 0.005 s
% 0.16/0.44 # Total time : 0.008 s
% 0.16/0.44 # Maximum resident set size: 1712 pages
% 0.16/0.44 % E---3.1 exiting
% 0.16/0.45 % E exiting
%------------------------------------------------------------------------------