TSTP Solution File: ITP302_1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP302_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 08:08:22 EDT 2024
% Result : Theorem 0.59s 0.83s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 25
% Syntax : Number of formulae : 36 ( 10 unt; 20 typ; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 6 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 13 ( 10 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'B_set$': $tType ).
tff(decl_sort2,type,
'A_b_b_c_LSCategory_ext_Category_ext$': $tType ).
tff(decl_sort3,type,
'A_set$': $tType ).
tff(decl_sort4,type,
'A$': $tType ).
tff(decl_sort5,type,
'B$': $tType ).
tff(decl_sort6,type,
'B_a_fun$': $tType ).
tff(decl_sort7,type,
'A_set_bool_fun$': $tType ).
tff(decl_sort8,type,
'B_set_bool_fun$': $tType ).
tff(decl_36,type,
'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(decl_63,type,
'fun_app$bk': ( 'B_a_fun$' * 'B$' ) > 'A$' ).
tff(decl_68,type,
'lSCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(decl_70,type,
'member$c': 'A$' > 'A_set_bool_fun$' ).
tff(decl_102,type,
'f$': 'B$' ).
tff(decl_134,type,
'category$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(decl_269,type,
'obj$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_set$' ).
tff(decl_425,type,
'member$b': 'B$' > 'B_set_bool_fun$' ).
tff(decl_447,type,
'dom$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$' ).
tff(decl_568,type,
'fun_app$m': ( 'B_set_bool_fun$' * 'B_set$' ) > $o ).
tff(decl_589,type,
'fun_app$p': ( 'A_set_bool_fun$' * 'A_set$' ) > $o ).
tff(decl_633,type,
'mor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_set$' ).
tff(conjecture185,conjecture,
'fun_app$p'('member$c'('fun_app$bk'('dom$'('c$'),'f$')),'obj$'('c$')),
file('/export/starexec/sandbox2/tmp/tmp.qBlUxfTji9/E---3.1_16923.p',conjecture185) ).
tff(axiom203,axiom,
! [X473: 'A_b_b_c_LSCategory_ext_Category_ext$',X474: 'B$'] :
( ( 'category$'(X473)
& 'fun_app$m'('member$b'(X474),'mor$'(X473)) )
=> 'fun_app$p'('member$c'('fun_app$bk'('dom$'(X473),X474)),'obj$'(X473)) ),
file('/export/starexec/sandbox2/tmp/tmp.qBlUxfTji9/E---3.1_16923.p',axiom203) ).
tff(axiom212,axiom,
! [X521: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
( 'lSCategory$'(X521)
=> 'category$'(X521) ),
file('/export/starexec/sandbox2/tmp/tmp.qBlUxfTji9/E---3.1_16923.p',axiom212) ).
tff(axiom187,axiom,
'fun_app$m'('member$b'('f$'),'mor$'('c$')),
file('/export/starexec/sandbox2/tmp/tmp.qBlUxfTji9/E---3.1_16923.p',axiom187) ).
tff(axiom186,axiom,
'lSCategory$'('c$'),
file('/export/starexec/sandbox2/tmp/tmp.qBlUxfTji9/E---3.1_16923.p',axiom186) ).
tff(c_0_5,negated_conjecture,
~ 'fun_app$p'('member$c'('fun_app$bk'('dom$'('c$'),'f$')),'obj$'('c$')),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conjecture185])]) ).
tff(c_0_6,negated_conjecture,
~ 'fun_app$p'('member$c'('fun_app$bk'('dom$'('c$'),'f$')),'obj$'('c$')),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
tff(c_0_7,plain,
! [X2127: 'A_b_b_c_LSCategory_ext_Category_ext$',X2128: 'B$'] :
( ~ 'category$'(X2127)
| ~ 'fun_app$m'('member$b'(X2128),'mor$'(X2127))
| 'fun_app$p'('member$c'('fun_app$bk'('dom$'(X2127),X2128)),'obj$'(X2127)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom203])])]) ).
tff(c_0_8,plain,
! [X2131: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
( ~ 'lSCategory$'(X2131)
| 'category$'(X2131) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom212])])]) ).
tcf(c_0_9,negated_conjecture,
~ 'fun_app$p'('member$c'('fun_app$bk'('dom$'('c$'),'f$')),'obj$'('c$')),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,plain,
! [X10: 'B$',X73: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
( 'fun_app$p'('member$c'('fun_app$bk'('dom$'(X73),X10)),'obj$'(X73))
| ~ 'category$'(X73)
| ~ 'fun_app$m'('member$b'(X10),'mor$'(X73)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
'fun_app$m'('member$b'('f$'),'mor$'('c$')),
inference(split_conjunct,[status(thm)],[axiom187]) ).
tcf(c_0_12,plain,
! [X73: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
( 'category$'(X73)
| ~ 'lSCategory$'(X73) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_13,plain,
'lSCategory$'('c$'),
inference(split_conjunct,[status(thm)],[axiom186]) ).
tcf(c_0_14,negated_conjecture,
~ 'category$'('c$'),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_15,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.26 % Problem : ITP302_1 : TPTP v8.1.2. Released v8.0.0.
% 0.10/0.27 % Command : run_E %s %d THM
% 0.27/0.48 % Computer : n018.cluster.edu
% 0.27/0.48 % Model : x86_64 x86_64
% 0.27/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.48 % Memory : 8042.1875MB
% 0.27/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.27/0.48 % CPULimit : 300
% 0.27/0.48 % WCLimit : 300
% 0.27/0.48 % DateTime : Fri May 3 12:41:17 EDT 2024
% 0.27/0.48 % CPUTime :
% 0.58/0.75 Running first-order theorem proving
% 0.58/0.75 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.qBlUxfTji9/E---3.1_16923.p
% 0.59/0.83 # Version: 3.1.0
% 0.59/0.83 # partial match(1): FMLMSMSMSSSNFFN
% 0.59/0.83 # Preprocessing class: FMLMSMLMSSSNFFN.
% 0.59/0.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.83 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.59/0.83 # Starting new_bool_3 with 300s (1) cores
% 0.59/0.83 # Starting new_bool_1 with 300s (1) cores
% 0.59/0.83 # Starting sh5l with 300s (1) cores
% 0.59/0.83 # new_bool_3 with pid 17003 completed with status 0
% 0.59/0.83 # Result found by new_bool_3
% 0.59/0.83 # partial match(1): FMLMSMSMSSSNFFN
% 0.59/0.83 # Preprocessing class: FMLMSMLMSSSNFFN.
% 0.59/0.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.83 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.59/0.83 # Starting new_bool_3 with 300s (1) cores
% 0.59/0.83 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.59/0.83 # Search class: FHUNF-FFSF21-MFFFFFNN
% 0.59/0.83 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.59/0.83 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.59/0.83 # SAT001_MinMin_p005000_rr_RG with pid 17006 completed with status 0
% 0.59/0.83 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.59/0.83 # partial match(1): FMLMSMSMSSSNFFN
% 0.59/0.83 # Preprocessing class: FMLMSMLMSSSNFFN.
% 0.59/0.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.83 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.59/0.83 # Starting new_bool_3 with 300s (1) cores
% 0.59/0.83 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.59/0.83 # Search class: FHUNF-FFSF21-MFFFFFNN
% 0.59/0.83 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.59/0.83 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.59/0.83 # Preprocessing time : 0.005 s
% 0.59/0.83 # Presaturation interreduction done
% 0.59/0.83
% 0.59/0.83 # Proof found!
% 0.59/0.83 # SZS status Theorem
% 0.59/0.83 # SZS output start CNFRefutation
% See solution above
% 0.59/0.83 # Parsed axioms : 1618
% 0.59/0.83 # Removed by relevancy pruning/SinE : 1612
% 0.59/0.83 # Initial clauses : 6
% 0.59/0.83 # Removed in clause preprocessing : 0
% 0.59/0.83 # Initial clauses in saturation : 6
% 0.59/0.83 # Processed clauses : 13
% 0.59/0.83 # ...of these trivial : 0
% 0.59/0.83 # ...subsumed : 0
% 0.59/0.83 # ...remaining for further processing : 12
% 0.59/0.83 # Other redundant clauses eliminated : 0
% 0.59/0.83 # Clauses deleted for lack of memory : 0
% 0.59/0.83 # Backward-subsumed : 0
% 0.59/0.83 # Backward-rewritten : 0
% 0.59/0.83 # Generated clauses : 2
% 0.59/0.83 # ...of the previous two non-redundant : 2
% 0.59/0.83 # ...aggressively subsumed : 0
% 0.59/0.83 # Contextual simplify-reflections : 0
% 0.59/0.83 # Paramodulations : 2
% 0.59/0.83 # Factorizations : 0
% 0.59/0.83 # NegExts : 0
% 0.59/0.83 # Equation resolutions : 0
% 0.59/0.83 # Disequality decompositions : 0
% 0.59/0.83 # Total rewrite steps : 1
% 0.59/0.83 # ...of those cached : 0
% 0.59/0.83 # Propositional unsat checks : 0
% 0.59/0.83 # Propositional check models : 0
% 0.59/0.83 # Propositional check unsatisfiable : 0
% 0.59/0.83 # Propositional clauses : 0
% 0.59/0.83 # Propositional clauses after purity: 0
% 0.59/0.83 # Propositional unsat core size : 0
% 0.59/0.83 # Propositional preprocessing time : 0.000
% 0.59/0.83 # Propositional encoding time : 0.000
% 0.59/0.83 # Propositional solver time : 0.000
% 0.59/0.83 # Success case prop preproc time : 0.000
% 0.59/0.83 # Success case prop encoding time : 0.000
% 0.59/0.83 # Success case prop solver time : 0.000
% 0.59/0.83 # Current number of processed clauses : 6
% 0.59/0.83 # Positive orientable unit clauses : 2
% 0.59/0.83 # Positive unorientable unit clauses: 0
% 0.59/0.83 # Negative unit clauses : 2
% 0.59/0.83 # Non-unit-clauses : 2
% 0.59/0.83 # Current number of unprocessed clauses: 1
% 0.59/0.83 # ...number of literals in the above : 3
% 0.59/0.83 # Current number of archived formulas : 0
% 0.59/0.83 # Current number of archived clauses : 6
% 0.59/0.83 # Clause-clause subsumption calls (NU) : 7
% 0.59/0.83 # Rec. Clause-clause subsumption calls : 7
% 0.59/0.83 # Non-unit clause-clause subsumptions : 0
% 0.59/0.83 # Unit Clause-clause subsumption calls : 0
% 0.59/0.83 # Rewrite failures with RHS unbound : 0
% 0.59/0.83 # BW rewrite match attempts : 0
% 0.59/0.83 # BW rewrite match successes : 0
% 0.59/0.83 # Condensation attempts : 0
% 0.59/0.83 # Condensation successes : 0
% 0.59/0.83 # Termbank termtop insertions : 13918
% 0.59/0.83 # Search garbage collected termcells : 11442
% 0.59/0.83
% 0.59/0.83 # -------------------------------------------------
% 0.59/0.83 # User time : 0.008 s
% 0.59/0.83 # System time : 0.010 s
% 0.59/0.83 # Total time : 0.018 s
% 0.59/0.83 # Maximum resident set size: 5780 pages
% 0.59/0.83
% 0.59/0.83 # -------------------------------------------------
% 0.59/0.83 # User time : 0.059 s
% 0.59/0.83 # System time : 0.014 s
% 0.59/0.83 # Total time : 0.073 s
% 0.59/0.83 # Maximum resident set size: 4612 pages
% 0.59/0.83 % E---3.1 exiting
% 0.59/0.83 % E exiting
%------------------------------------------------------------------------------