TSTP Solution File: ITP341_10 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP341_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : Sat May 4 08:10:34 EDT 2024
% Result : Unsatisfiable 0.38s 0.59s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 49 ( 21 ~; 15 |; 7 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'A$': $tType ).
tff(decl_sort2,type,
'A_a_fun$': $tType ).
tff(decl_49,type,
'times$': ( 'A$' * 'A$' ) > 'A$' ).
tff(decl_52,type,
'one$': 'A$' ).
tff(decl_78,type,
'divide$': 'A$' > 'A_a_fun$' ).
tff(decl_83,type,
'fun_app$d': ( 'A_a_fun$' * 'A$' ) > 'A$' ).
tff(decl_90,type,
'zero$': 'A$' ).
tff(axiom387,axiom,
! [X776: 'A$',X777: 'A$',X778: 'A$'] :
( ( X776 = 'fun_app$d'('divide$'(X777),X778) )
<=> ( ( ( X778 != 'zero$' )
=> ( 'times$'(X776,X778) = X777 ) )
& ( ( X778 != 'zero$' )
=> ( X776 = 'zero$' ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZAvSnQ4r5P/E---3.1_2815.p',axiom387) ).
tff(axiom150,axiom,
'zero$' != 'one$',
file('/export/starexec/sandbox2/tmp/tmp.ZAvSnQ4r5P/E---3.1_2815.p',axiom150) ).
tff(axiom246,axiom,
! [X431: 'A$'] : ( 'fun_app$d'('divide$'(X431),'zero$') = 'zero$' ),
file('/export/starexec/sandbox2/tmp/tmp.ZAvSnQ4r5P/E---3.1_2815.p',axiom246) ).
tff(c_0_3,plain,
! [X776: 'A$',X777: 'A$',X778: 'A$'] :
( ( X776 = 'fun_app$d'('divide$'(X777),X778) )
<=> ( ( ( X778 != 'zero$' )
=> ( 'times$'(X776,X778) = X777 ) )
& ( ( X778 != 'zero$' )
=> ( X776 = 'zero$' ) ) ) ),
inference(fof_simplification,[status(thm)],[axiom387]) ).
tff(c_0_4,plain,
! [X1763: 'A$',X1764: 'A$',X1765: 'A$'] :
( ( ( X1765 = 'zero$' )
| ( 'times$'(X1763,X1765) = X1764 )
| ( X1763 != 'fun_app$d'('divide$'(X1764),X1765) ) )
& ( ( X1765 = 'zero$' )
| ( X1763 = 'zero$' )
| ( X1763 != 'fun_app$d'('divide$'(X1764),X1765) ) )
& ( ( X1765 != 'zero$' )
| ( X1765 != 'zero$' )
| ( X1763 = 'fun_app$d'('divide$'(X1764),X1765) ) )
& ( ( X1763 != 'zero$' )
| ( X1765 != 'zero$' )
| ( X1763 = 'fun_app$d'('divide$'(X1764),X1765) ) )
& ( ( X1765 != 'zero$' )
| ( 'times$'(X1763,X1765) != X1764 )
| ( X1763 = 'fun_app$d'('divide$'(X1764),X1765) ) )
& ( ( X1763 != 'zero$' )
| ( 'times$'(X1763,X1765) != X1764 )
| ( X1763 = 'fun_app$d'('divide$'(X1764),X1765) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
tff(c_0_5,plain,
'zero$' != 'one$',
inference(fof_simplification,[status(thm)],[axiom150]) ).
tcf(c_0_6,plain,
! [X29: 'A$',X18: 'A$',X6: 'A$'] :
( ( X18 = 'fun_app$d'('divide$'(X29),X6) )
| ( X6 != 'zero$' )
| ( X6 != 'zero$' ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tff(c_0_7,plain,
! [X1363: 'A$'] : ( 'fun_app$d'('divide$'(X1363),'zero$') = 'zero$' ),
inference(variable_rename,[status(thm)],[axiom246]) ).
tff(c_0_8,plain,
'zero$' != 'one$',
inference(fof_nnf,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
! [X29: 'A$',X18: 'A$',X6: 'A$'] :
( ( X18 = 'fun_app$d'('divide$'(X29),X6) )
| ( X6 != 'zero$' ) ),
inference(cn,[status(thm)],[c_0_6]) ).
tcf(c_0_10,plain,
! [X6: 'A$'] : 'fun_app$d'('divide$'(X6),'zero$') = 'zero$',
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
'zero$' != 'one$',
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_12,plain,
! [X6: 'A$'] : X6 = 'zero$',
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_9]),c_0_10]) ).
cnf(c_0_13,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP341_10 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n012.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 : Fri May 3 12:02:10 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.52 Running first-order model finding
% 0.21/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.ZAvSnQ4r5P/E---3.1_2815.p
% 0.38/0.59 # Version: 3.1.0
% 0.38/0.59 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.59 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.59 # Starting new_bool_3 with 300s (1) cores
% 0.38/0.59 # Starting new_bool_1 with 300s (1) cores
% 0.38/0.59 # Starting sh5l with 300s (1) cores
% 0.38/0.59 # new_bool_3 with pid 2984 completed with status 8
% 0.38/0.59 # new_bool_1 with pid 2985 completed with status 8
% 0.38/0.59 # sh5l with pid 2986 completed with status 8
% 0.38/0.59 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2983 completed with status 0
% 0.38/0.59 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.38/0.59 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.59 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.59 # No SInE strategy applied
% 0.38/0.59 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.38/0.59 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.38/0.59 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 0.38/0.59 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.38/0.59 # Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.38/0.59 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.38/0.59 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 0.38/0.59 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3039 completed with status 0
% 0.38/0.59 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.38/0.59 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.59 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.59 # No SInE strategy applied
% 0.38/0.59 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.38/0.59 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.38/0.59 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 0.38/0.59 # Preprocessing time : 0.007 s
% 0.38/0.59 # Presaturation interreduction done
% 0.38/0.59
% 0.38/0.59 # Proof found!
% 0.38/0.59 # SZS status Unsatisfiable
% 0.38/0.59 # SZS output start CNFRefutation
% See solution above
% 0.38/0.59 # Parsed axioms : 532
% 0.38/0.59 # Removed by relevancy pruning/SinE : 0
% 0.38/0.59 # Initial clauses : 721
% 0.38/0.59 # Removed in clause preprocessing : 182
% 0.38/0.59 # Initial clauses in saturation : 539
% 0.38/0.59 # Processed clauses : 235
% 0.38/0.59 # ...of these trivial : 45
% 0.38/0.59 # ...subsumed : 32
% 0.38/0.59 # ...remaining for further processing : 158
% 0.38/0.59 # Other redundant clauses eliminated : 43
% 0.38/0.59 # Clauses deleted for lack of memory : 0
% 0.38/0.59 # Backward-subsumed : 2
% 0.38/0.59 # Backward-rewritten : 24
% 0.38/0.59 # Generated clauses : 43
% 0.38/0.59 # ...of the previous two non-redundant : 8
% 0.38/0.59 # ...aggressively subsumed : 0
% 0.38/0.59 # Contextual simplify-reflections : 0
% 0.38/0.59 # Paramodulations : 0
% 0.38/0.59 # Factorizations : 0
% 0.38/0.59 # NegExts : 0
% 0.38/0.59 # Equation resolutions : 43
% 0.38/0.59 # Disequality decompositions : 0
% 0.38/0.59 # Total rewrite steps : 99
% 0.38/0.59 # ...of those cached : 33
% 0.38/0.59 # Propositional unsat checks : 0
% 0.38/0.59 # Propositional check models : 0
% 0.38/0.59 # Propositional check unsatisfiable : 0
% 0.38/0.59 # Propositional clauses : 0
% 0.38/0.59 # Propositional clauses after purity: 0
% 0.38/0.59 # Propositional unsat core size : 0
% 0.38/0.59 # Propositional preprocessing time : 0.000
% 0.38/0.59 # Propositional encoding time : 0.000
% 0.38/0.59 # Propositional solver time : 0.000
% 0.38/0.59 # Success case prop preproc time : 0.000
% 0.38/0.59 # Success case prop encoding time : 0.000
% 0.38/0.59 # Success case prop solver time : 0.000
% 0.38/0.59 # Current number of processed clauses : 89
% 0.38/0.59 # Positive orientable unit clauses : 53
% 0.38/0.59 # Positive unorientable unit clauses: 1
% 0.38/0.59 # Negative unit clauses : 3
% 0.38/0.59 # Non-unit-clauses : 32
% 0.38/0.59 # Current number of unprocessed clauses: 311
% 0.38/0.59 # ...number of literals in the above : 599
% 0.38/0.59 # Current number of archived formulas : 0
% 0.38/0.59 # Current number of archived clauses : 35
% 0.38/0.59 # Clause-clause subsumption calls (NU) : 1388
% 0.38/0.59 # Rec. Clause-clause subsumption calls : 1116
% 0.38/0.59 # Non-unit clause-clause subsumptions : 30
% 0.38/0.59 # Unit Clause-clause subsumption calls : 28
% 0.38/0.59 # Rewrite failures with RHS unbound : 0
% 0.38/0.59 # BW rewrite match attempts : 159
% 0.38/0.59 # BW rewrite match successes : 24
% 0.38/0.59 # Condensation attempts : 0
% 0.38/0.59 # Condensation successes : 0
% 0.38/0.59 # Termbank termtop insertions : 29976
% 0.38/0.59 # Search garbage collected termcells : 5856
% 0.38/0.59
% 0.38/0.59 # -------------------------------------------------
% 0.38/0.59 # User time : 0.032 s
% 0.38/0.59 # System time : 0.012 s
% 0.38/0.59 # Total time : 0.044 s
% 0.38/0.59 # Maximum resident set size: 4188 pages
% 0.38/0.59
% 0.38/0.59 # -------------------------------------------------
% 0.38/0.59 # User time : 0.123 s
% 0.38/0.59 # System time : 0.092 s
% 0.38/0.59 # Total time : 0.215 s
% 0.38/0.59 # Maximum resident set size: 2564 pages
% 0.38/0.59 % E---3.1 exiting
%------------------------------------------------------------------------------