TSTP Solution File: SEV090^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV090^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 04:07:34 EDT 2024
% Result : Theorem 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 3 unt; 9 typ; 0 def)
% Number of atoms : 46 ( 5 equ; 0 cnn)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 158 ( 17 ~; 13 |; 17 &; 104 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 72 ( 72 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 0 ^ 35 !; 8 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: a > a > $o ).
thf(decl_23,type,
esk1_1: a > a ).
thf(decl_24,type,
epred2_1: ( ( a > $o ) > ( a > $o ) > $o ) > a > $o ).
thf(decl_25,type,
epred3_1: ( ( a > $o ) > ( a > $o ) > $o ) > a > $o ).
thf(decl_26,type,
epred4_1: ( ( a > $o ) > ( a > $o ) > $o ) > a > $o ).
thf(decl_27,type,
epred5_1: ( ( a > $o ) > ( a > $o ) > $o ) > a > $o ).
thf(decl_28,type,
epred6_1: ( ( a > $o ) > ( a > $o ) > $o ) > a > $o ).
thf(decl_33,type,
epred7_0: $o ).
thf(cTHM165_pme,conjecture,
( ? [X1: a > a > $o] :
( ! [X2: a] :
? [X3: a] : ( X1 @ X2 @ X3 )
& ! [X2: a] :
~ ( X1 @ X2 @ X2 )
& ! [X2: a,X4: a,X5: a] :
( ( ( X1 @ X2 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X2 @ X5 ) ) )
=> ? [X6: ( a > $o ) > ( a > $o ) > $o] :
( ! [X7: a > $o] :
? [X8: a > $o] : ( X6 @ X7 @ X8 )
& ! [X9: a > $o] :
~ ( X6 @ X9 @ X9 )
& ! [X10: a > $o,X11: a > $o,X12: a > $o] :
( ( ( X6 @ X10 @ X11 )
& ( X6 @ X11 @ X12 ) )
=> ( X6 @ X10 @ X12 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM165_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ? [X1: a > a > $o] :
( ! [X2: a] :
? [X3: a] : ( X1 @ X2 @ X3 )
& ! [X2: a] :
~ ( X1 @ X2 @ X2 )
& ! [X2: a,X4: a,X5: a] :
( ( ( X1 @ X2 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X2 @ X5 ) ) )
=> ? [X6: ( a > $o ) > ( a > $o ) > $o] :
( ! [X7: a > $o] :
? [X8: a > $o] : ( X6 @ X7 @ X8 )
& ! [X9: a > $o] :
~ ( X6 @ X9 @ X9 )
& ! [X10: a > $o,X11: a > $o,X12: a > $o] :
( ( ( X6 @ X10 @ X11 )
& ( X6 @ X11 @ X12 ) )
=> ( X6 @ X10 @ X12 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM165_pme]) ).
thf(c_0_2,negated_conjecture,
! [X28: a,X30: a,X31: a,X32: a,X33: a,X34: ( a > $o ) > ( a > $o ) > $o,X36: a > $o] :
( ( epred1_0 @ X28 @ ( esk1_1 @ X28 ) )
& ~ ( epred1_0 @ X30 @ X30 )
& ( ~ ( epred1_0 @ X31 @ X32 )
| ~ ( epred1_0 @ X32 @ X33 )
| ( epred1_0 @ X31 @ X33 ) )
& ( ( X34 @ ( epred4_1 @ X34 ) @ ( epred5_1 @ X34 ) )
| ~ ( X34 @ ( epred2_1 @ X34 ) @ X36 )
| ( X34 @ ( epred3_1 @ X34 ) @ ( epred3_1 @ X34 ) ) )
& ( ( X34 @ ( epred5_1 @ X34 ) @ ( epred6_1 @ X34 ) )
| ~ ( X34 @ ( epred2_1 @ X34 ) @ X36 )
| ( X34 @ ( epred3_1 @ X34 ) @ ( epred3_1 @ X34 ) ) )
& ( ~ ( X34 @ ( epred4_1 @ X34 ) @ ( epred6_1 @ X34 ) )
| ~ ( X34 @ ( epred2_1 @ X34 ) @ X36 )
| ( X34 @ ( epred3_1 @ X34 ) @ ( epred3_1 @ X34 ) ) ) ),
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,
! [X6: ( a > $o ) > ( a > $o ) > $o,X7: a > $o] :
( ( X6 @ ( epred4_1 @ X6 ) @ ( epred5_1 @ X6 ) )
| ( X6 @ ( epred3_1 @ X6 ) @ ( epred3_1 @ X6 ) )
| ~ ( X6 @ ( epred2_1 @ X6 ) @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X7: a > $o] :
( ( ( epred2_1 @ $neq )
= X7 )
| ( ( epred5_1 @ $neq )
!= ( epred4_1 @ $neq ) ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X7: a > $o,X8: a > $o] :
( ( X7 = X8 )
| ( ( epred5_1 @ $neq )
!= ( epred4_1 @ $neq ) ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4])])]) ).
thf(c_0_6,negated_conjecture,
! [X7: a > $o,X8: a > $o,X49: a] :
( ( ( X7 @ X49 )
<=> ( X8 @ X49 ) )
| ( ( epred5_1 @ $neq )
!= ( epred4_1 @ $neq ) ) ),
inference(arg_cong,[status(thm)],[c_0_5]) ).
thf(c_0_7,negated_conjecture,
~ epred7_0,
inference(dynamic_cnf,[status(thm)],[c_0_6]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV090^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 18:25:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running higher-order theorem proving
% 0.20/0.48 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
% 0.20/0.51 # Version: 3.1.0-ho
% 0.20/0.51 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.51 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting sh2lt with 1200s (4) cores
% 0.20/0.51 # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.51 # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.51 # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.51 # Starting ehoh_best3_rw with 300s (1) cores
% 0.20/0.51 # sh2lt with pid 9627 completed with status 0
% 0.20/0.51 # Result found by sh2lt
% 0.20/0.51 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.51 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting sh2lt with 1200s (4) cores
% 0.20/0.51 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.20/0.51 # Search class: HGUNF-FFSF11-SHHFFMBN
% 0.20/0.51 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 0.20/0.51 # Starting ho_unfolding_3 with 649s (1) cores
% 0.20/0.51 # Starting sh2lt with 121s (1) cores
% 0.20/0.51 # Starting sh5l with 109s (1) cores
% 0.20/0.51 # Starting new_bool_3 with 109s (1) cores
% 0.20/0.51 # sh2lt with pid 9633 completed with status 0
% 0.20/0.51 # Result found by sh2lt
% 0.20/0.51 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.51 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting sh2lt with 1200s (4) cores
% 0.20/0.51 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.20/0.51 # Search class: HGUNF-FFSF11-SHHFFMBN
% 0.20/0.51 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 0.20/0.51 # Starting ho_unfolding_3 with 649s (1) cores
% 0.20/0.51 # Starting sh2lt with 121s (1) cores
% 0.20/0.51 # Preprocessing time : 0.001 s
% 0.20/0.51 # Presaturation interreduction done
% 0.20/0.51
% 0.20/0.51 # Proof found!
% 0.20/0.51 # SZS status Theorem
% 0.20/0.51 # SZS output start CNFRefutation
% See solution above
% 0.20/0.51 # Parsed axioms : 2
% 0.20/0.51 # Removed by relevancy pruning/SinE : 1
% 0.20/0.51 # Initial clauses : 6
% 0.20/0.51 # Removed in clause preprocessing : 0
% 0.20/0.51 # Initial clauses in saturation : 6
% 0.20/0.51 # Processed clauses : 95
% 0.20/0.51 # ...of these trivial : 11
% 0.20/0.51 # ...subsumed : 5
% 0.20/0.51 # ...remaining for further processing : 78
% 0.20/0.51 # Other redundant clauses eliminated : 1
% 0.20/0.51 # Clauses deleted for lack of memory : 0
% 0.20/0.51 # Backward-subsumed : 3
% 0.20/0.51 # Backward-rewritten : 1
% 0.20/0.51 # Generated clauses : 178
% 0.20/0.51 # ...of the previous two non-redundant : 163
% 0.20/0.51 # ...aggressively subsumed : 0
% 0.20/0.51 # Contextual simplify-reflections : 1
% 0.20/0.51 # Paramodulations : 77
% 0.20/0.51 # Factorizations : 2
% 0.20/0.51 # NegExts : 5
% 0.20/0.51 # Equation resolutions : 1
% 0.20/0.51 # Disequality decompositions : 0
% 0.20/0.51 # Total rewrite steps : 25
% 0.20/0.51 # ...of those cached : 19
% 0.20/0.51 # Propositional unsat checks : 0
% 0.20/0.51 # Propositional check models : 0
% 0.20/0.51 # Propositional check unsatisfiable : 0
% 0.20/0.51 # Propositional clauses : 0
% 0.20/0.51 # Propositional clauses after purity: 0
% 0.20/0.51 # Propositional unsat core size : 0
% 0.20/0.51 # Propositional preprocessing time : 0.000
% 0.20/0.51 # Propositional encoding time : 0.000
% 0.20/0.51 # Propositional solver time : 0.000
% 0.20/0.51 # Success case prop preproc time : 0.000
% 0.20/0.51 # Success case prop encoding time : 0.000
% 0.20/0.51 # Success case prop solver time : 0.000
% 0.20/0.51 # Current number of processed clauses : 62
% 0.20/0.51 # Positive orientable unit clauses : 6
% 0.20/0.51 # Positive unorientable unit clauses: 0
% 0.20/0.51 # Negative unit clauses : 48
% 0.20/0.51 # Non-unit-clauses : 8
% 0.20/0.51 # Current number of unprocessed clauses: 77
% 0.20/0.51 # ...number of literals in the above : 234
% 0.20/0.51 # Current number of archived formulas : 0
% 0.20/0.51 # Current number of archived clauses : 16
% 0.20/0.51 # Clause-clause subsumption calls (NU) : 30
% 0.20/0.51 # Rec. Clause-clause subsumption calls : 29
% 0.20/0.51 # Non-unit clause-clause subsumptions : 6
% 0.20/0.51 # Unit Clause-clause subsumption calls : 1229
% 0.20/0.51 # Rewrite failures with RHS unbound : 0
% 0.20/0.51 # BW rewrite match attempts : 1
% 0.20/0.51 # BW rewrite match successes : 1
% 0.20/0.51 # Condensation attempts : 0
% 0.20/0.51 # Condensation successes : 0
% 0.20/0.51 # Termbank termtop insertions : 19717
% 0.20/0.51 # Search garbage collected termcells : 302
% 0.20/0.51
% 0.20/0.51 # -------------------------------------------------
% 0.20/0.51 # User time : 0.013 s
% 0.20/0.51 # System time : 0.005 s
% 0.20/0.51 # Total time : 0.018 s
% 0.20/0.51 # Maximum resident set size: 1868 pages
% 0.20/0.51
% 0.20/0.51 # -------------------------------------------------
% 0.20/0.51 # User time : 0.054 s
% 0.20/0.51 # System time : 0.015 s
% 0.20/0.51 # Total time : 0.069 s
% 0.20/0.51 # Maximum resident set size: 1728 pages
% 0.20/0.51 % E---3.1 exiting
% 0.20/0.52 % E exiting
%------------------------------------------------------------------------------