TSTP Solution File: SEV126^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV126^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 04:07:49 EDT 2024
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 3 unt; 11 typ; 0 def)
% Number of atoms : 47 ( 0 equ; 0 cnn)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 266 ( 20 ~; 32 |; 17 &; 179 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 61 ( 61 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 60 ( 0 ^ 60 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: ( a > a > $o ) > $o ).
thf(decl_23,type,
epred2_0: a > a > $o ).
thf(decl_24,type,
epred3_0: a > a > $o ).
thf(decl_25,type,
esk1_0: a ).
thf(decl_26,type,
esk2_0: a ).
thf(decl_27,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_28,type,
esk4_1: ( a > a > $o ) > a ).
thf(decl_29,type,
epred4_0: a > a > $o ).
thf(decl_30,type,
epred5_2: a > a > a > a > $o ).
thf(decl_31,type,
epred6_2: a > a > a > a > $o ).
thf(cTHM252B_pme,conjecture,
! [X1: ( a > a > $o ) > $o,X2: a > a > $o,X3: a > a > $o,X4: a,X5: a] :
( ! [X6: a > a > $o] :
( ( ! [X7: a,X8: a] :
( ( ( X2 @ X7 @ X8 )
| ( X3 @ X7 @ X8 ) )
=> ( X6 @ X7 @ X8 ) )
& ( X1 @ X6 ) )
=> ( X6 @ X4 @ X5 ) )
=> ! [X6: a > a > $o] :
( ( ! [X7: a,X8: a] :
( ( ! [X9: a > a > $o] :
( ( ! [X10: a,X11: a] :
( ( X2 @ X10 @ X11 )
=> ( X9 @ X10 @ X11 ) )
& ( X1 @ X9 ) )
=> ( X9 @ X7 @ X8 ) )
| ! [X9: a > a > $o] :
( ( ! [X10: a,X11: a] :
( ( X3 @ X10 @ X11 )
=> ( X9 @ X10 @ X11 ) )
& ( X1 @ X9 ) )
=> ( X9 @ X7 @ X8 ) ) )
=> ( X6 @ X7 @ X8 ) )
& ( X1 @ X6 ) )
=> ( X6 @ X4 @ X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM252B_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( a > a > $o ) > $o,X2: a > a > $o,X3: a > a > $o,X4: a,X5: a] :
( ! [X6: a > a > $o] :
( ( ! [X7: a,X8: a] :
( ( ( X2 @ X7 @ X8 )
| ( X3 @ X7 @ X8 ) )
=> ( X6 @ X7 @ X8 ) )
& ( X1 @ X6 ) )
=> ( X6 @ X4 @ X5 ) )
=> ! [X6: a > a > $o] :
( ( ! [X7: a,X8: a] :
( ( ! [X9: a > a > $o] :
( ( ! [X10: a,X11: a] :
( ( X2 @ X10 @ X11 )
=> ( X9 @ X10 @ X11 ) )
& ( X1 @ X9 ) )
=> ( X9 @ X7 @ X8 ) )
| ! [X9: a > a > $o] :
( ( ! [X10: a,X11: a] :
( ( X3 @ X10 @ X11 )
=> ( X9 @ X10 @ X11 ) )
& ( X1 @ X9 ) )
=> ( X9 @ X7 @ X8 ) ) )
=> ( X6 @ X7 @ X8 ) )
& ( X1 @ X6 ) )
=> ( X6 @ X4 @ X5 ) ) ),
inference(assume_negation,[status(cth)],[cTHM252B_pme]) ).
thf(c_0_2,negated_conjecture,
! [X34: a > a > $o,X38: a,X39: a,X41: a,X42: a,X44: a,X45: a] :
( ( ( epred2_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ( epred3_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X34 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred2_0 @ X41 @ X42 )
| ( epred5_2 @ X38 @ X39 @ X41 @ X42 )
| ( epred4_0 @ X38 @ X39 ) )
& ( ( epred1_0 @ ( epred5_2 @ X38 @ X39 ) )
| ( epred4_0 @ X38 @ X39 ) )
& ( ~ ( epred5_2 @ X38 @ X39 @ X38 @ X39 )
| ( epred4_0 @ X38 @ X39 ) )
& ( ~ ( epred3_0 @ X44 @ X45 )
| ( epred6_2 @ X38 @ X39 @ X44 @ X45 )
| ( epred4_0 @ X38 @ X39 ) )
& ( ( epred1_0 @ ( epred6_2 @ X38 @ X39 ) )
| ( epred4_0 @ X38 @ X39 ) )
& ( ~ ( epred6_2 @ X38 @ X39 @ X38 @ X39 )
| ( epred4_0 @ X38 @ X39 ) )
& ( epred1_0 @ epred4_0 )
& ~ ( epred4_0 @ esk1_0 @ esk2_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: a,X5: a] :
( ( epred4_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X4: a,X8: a,X7: a,X5: a] :
( ( epred6_2 @ X7 @ X8 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ X4 @ X5 )
| ~ ( epred5_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X4: a,X8: a,X7: a,X5: a] :
( ( epred5_2 @ X7 @ X8 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_10,negated_conjecture,
! [X2: a > a > $o] :
( ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
thf(c_0_12,negated_conjecture,
epred1_0 @ epred4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
~ ( epred4_0 @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV126^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 18:31:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running higher-order theorem proving
% 0.19/0.47 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
% 0.19/0.48 # Version: 3.1.0-ho
% 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.48 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting sh2lt with 1200s (4) cores
% 0.19/0.48 # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.48 # Starting full_lambda_6 with 300s (1) cores
% 0.19/0.48 # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.48 # Starting ehoh_best3_rw with 300s (1) cores
% 0.19/0.48 # full_lambda_6 with pid 2102 completed with status 0
% 0.19/0.48 # Result found by full_lambda_6
% 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.48 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting sh2lt with 1200s (4) cores
% 0.19/0.48 # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.48 # Starting full_lambda_6 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.19/0.48 # Search class: HGUNF-FFSF11-SHHFFSBN
% 0.19/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting new_ho_10 with 163s (1) cores
% 0.19/0.48 # new_ho_10 with pid 2106 completed with status 0
% 0.19/0.48 # Result found by new_ho_10
% 0.19/0.48 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.48 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting sh2lt with 1200s (4) cores
% 0.19/0.48 # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.48 # Starting full_lambda_6 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.19/0.48 # Search class: HGUNF-FFSF11-SHHFFSBN
% 0.19/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting new_ho_10 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
% 0.19/0.49 # Parsed axioms : 2
% 0.19/0.49 # Removed by relevancy pruning/SinE : 1
% 0.19/0.49 # Initial clauses : 10
% 0.19/0.49 # Removed in clause preprocessing : 0
% 0.19/0.49 # Initial clauses in saturation : 10
% 0.19/0.49 # Processed clauses : 25
% 0.19/0.49 # ...of these trivial : 0
% 0.19/0.49 # ...subsumed : 0
% 0.19/0.49 # ...remaining for further processing : 25
% 0.19/0.49 # Other redundant clauses eliminated : 0
% 0.19/0.49 # Clauses deleted for lack of memory : 0
% 0.19/0.49 # Backward-subsumed : 1
% 0.19/0.49 # Backward-rewritten : 0
% 0.19/0.49 # Generated clauses : 8
% 0.19/0.49 # ...of the previous two non-redundant : 7
% 0.19/0.49 # ...aggressively subsumed : 0
% 0.19/0.49 # Contextual simplify-reflections : 1
% 0.19/0.49 # Paramodulations : 8
% 0.19/0.49 # Factorizations : 0
% 0.19/0.49 # NegExts : 0
% 0.19/0.49 # Equation resolutions : 0
% 0.19/0.49 # Disequality decompositions : 0
% 0.19/0.49 # Total rewrite steps : 1
% 0.19/0.49 # ...of those cached : 0
% 0.19/0.49 # Propositional unsat checks : 0
% 0.19/0.49 # Propositional check models : 0
% 0.19/0.49 # Propositional check unsatisfiable : 0
% 0.19/0.49 # Propositional clauses : 0
% 0.19/0.49 # Propositional clauses after purity: 0
% 0.19/0.49 # Propositional unsat core size : 0
% 0.19/0.49 # Propositional preprocessing time : 0.000
% 0.19/0.49 # Propositional encoding time : 0.000
% 0.19/0.49 # Propositional solver time : 0.000
% 0.19/0.49 # Success case prop preproc time : 0.000
% 0.19/0.49 # Success case prop encoding time : 0.000
% 0.19/0.49 # Success case prop solver time : 0.000
% 0.19/0.49 # Current number of processed clauses : 14
% 0.19/0.49 # Positive orientable unit clauses : 1
% 0.19/0.49 # Positive unorientable unit clauses: 0
% 0.19/0.49 # Negative unit clauses : 1
% 0.19/0.49 # Non-unit-clauses : 12
% 0.19/0.49 # Current number of unprocessed clauses: 2
% 0.19/0.49 # ...number of literals in the above : 8
% 0.19/0.49 # Current number of archived formulas : 0
% 0.19/0.49 # Current number of archived clauses : 11
% 0.19/0.49 # Clause-clause subsumption calls (NU) : 48
% 0.19/0.49 # Rec. Clause-clause subsumption calls : 42
% 0.19/0.49 # Non-unit clause-clause subsumptions : 2
% 0.19/0.49 # Unit Clause-clause subsumption calls : 0
% 0.19/0.49 # Rewrite failures with RHS unbound : 0
% 0.19/0.49 # BW rewrite match attempts : 0
% 0.19/0.49 # BW rewrite match successes : 0
% 0.19/0.49 # Condensation attempts : 25
% 0.19/0.49 # Condensation successes : 0
% 0.19/0.49 # Termbank termtop insertions : 1459
% 0.19/0.49 # Search garbage collected termcells : 486
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.006 s
% 0.19/0.49 # System time : 0.000 s
% 0.19/0.49 # Total time : 0.006 s
% 0.19/0.49 # Maximum resident set size: 1884 pages
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.007 s
% 0.19/0.49 # System time : 0.003 s
% 0.19/0.49 # Total time : 0.010 s
% 0.19/0.49 # Maximum resident set size: 1728 pages
% 0.19/0.49 % E---3.1 exiting
% 0.19/0.49 % E exiting
%------------------------------------------------------------------------------