TSTP Solution File: SWW473_3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWW473_3 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 06:43:01 EDT 2024
% Result : Theorem 0.77s 0.74s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 36
% Syntax : Number of formulae : 47 ( 10 unt; 31 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 8 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 14 ( 13 usr)
% Number of type conns : 19 ( 10 >; 9 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_fu1471507361l_bool: $tType ).
tff(decl_sort2,type,
fun_pname_a: $tType ).
tff(decl_sort3,type,
fun_a_bool: $tType ).
tff(decl_sort4,type,
fun_pname_bool: $tType ).
tff(decl_sort5,type,
fun_fun_a_bool_bool: $tType ).
tff(decl_sort6,type,
fun_fu1430349052l_bool: $tType ).
tff(decl_sort7,type,
bool: $tType ).
tff(decl_sort8,type,
fun_a_1255737515l_bool: $tType ).
tff(decl_sort9,type,
fun_fu1731003005a_bool: $tType ).
tff(decl_sort10,type,
fun_a_1752562919a_bool: $tType ).
tff(decl_sort11,type,
fun_pn422929397l_bool: $tType ).
tff(decl_sort12,type,
x_a: $tType ).
tff(decl_sort13,type,
pname: $tType ).
tff(decl_166,type,
ord_le1311769555a_bool: fun_fu1471507361l_bool ).
tff(decl_194,type,
image_pname_a: ( fun_pname_a * fun_pname_bool ) > fun_a_bool ).
tff(decl_231,type,
insert_a: fun_a_1752562919a_bool ).
tff(decl_263,type,
hAPP_a85458249l_bool: ( fun_a_1255737515l_bool * x_a ) > fun_fun_a_bool_bool ).
tff(decl_264,type,
hAPP_a1206381875a_bool: ( fun_a_1752562919a_bool * x_a ) > fun_fu1731003005a_bool ).
tff(decl_265,type,
hAPP_pname_a: ( fun_pname_a * pname ) > x_a ).
tff(decl_272,type,
hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).
tff(decl_305,type,
hAPP_fun_a_bool_bool: ( fun_fun_a_bool_bool * fun_a_bool ) > bool ).
tff(decl_307,type,
hAPP_f2050579477a_bool: ( fun_fu1731003005a_bool * fun_a_bool ) > fun_a_bool ).
tff(decl_312,type,
hAPP_f1631501043l_bool: ( fun_fu1471507361l_bool * fun_a_bool ) > fun_fun_a_bool_bool ).
tff(decl_317,type,
hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).
tff(decl_368,type,
hBOOL: bool > $o ).
tff(decl_369,type,
member_a: fun_a_1255737515l_bool ).
tff(decl_370,type,
member_pname: fun_pn422929397l_bool ).
tff(decl_377,type,
g: fun_a_bool ).
tff(decl_379,type,
u: fun_pname_bool ).
tff(decl_381,type,
mgt_call: fun_pname_a ).
tff(decl_383,type,
pn: pname ).
tff(conj_6,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
tff(fact_453_insert__subset,axiom,
! [X995: x_a,X996: fun_a_bool,X997: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X995),X996)),X997))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X995),X997))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X996),X997)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_453_insert__subset) ).
tff(conj_1,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(fact_434_imageI,axiom,
! [X948: fun_pname_a,X949: pname,X950: fun_pname_bool] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X949),X950))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X948,X949)),image_pname_a(X948,X950))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_434_imageI) ).
tff(conj_4,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
tff(c_0_5,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_6])]) ).
tff(c_0_6,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
tff(c_0_7,plain,
! [X2370: x_a,X2371: fun_a_bool,X2372: fun_a_bool] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2370),X2372))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2370),X2371)),X2372)) )
& ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2371),X2372))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2370),X2371)),X2372)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2370),X2372))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2371),X2372))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X2370),X2371)),X2372)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_453_insert__subset])])])]) ).
tcf(c_0_8,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_9,plain,
! [X82: x_a,X2: fun_a_bool,X1: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X82),X2)),X1))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X82),X1))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_10,hypothesis,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[conj_1]) ).
tff(c_0_11,plain,
! [X2826: fun_pname_a,X2827: pname,X2828: fun_pname_bool] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2827),X2828))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2826,X2827)),image_pname_a(X2826,X2828))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_434_imageI])])]) ).
tcf(c_0_12,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
tcf(c_0_13,plain,
! [X76: pname,X66: fun_pname_a,X8: fun_pname_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X66,X76)),image_pname_a(X66,X8)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X76),X8)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_14,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(split_conjunct,[status(thm)],[conj_4]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWW473_3 : TPTP v8.2.0. Released v5.3.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 19:49:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.48 Running first-order theorem proving
% 0.18/0.48 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/benchmark/theBenchmark.p
% 0.77/0.74 # Version: 3.1.0
% 0.77/0.74 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.77/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.77/0.74 # Starting new_bool_3 with 300s (1) cores
% 0.77/0.74 # Starting new_bool_1 with 300s (1) cores
% 0.77/0.74 # Starting sh5l with 300s (1) cores
% 0.77/0.74 # new_bool_1 with pid 21006 completed with status 0
% 0.77/0.74 # Result found by new_bool_1
% 0.77/0.74 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.77/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.77/0.74 # Starting new_bool_3 with 300s (1) cores
% 0.77/0.74 # Starting new_bool_1 with 300s (1) cores
% 0.77/0.74 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.77/0.74 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.77/0.74 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.77/0.74 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.77/0.74 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 21008 completed with status 0
% 0.77/0.74 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.77/0.74 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.77/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.77/0.74 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.77/0.74 # Starting new_bool_3 with 300s (1) cores
% 0.77/0.74 # Starting new_bool_1 with 300s (1) cores
% 0.77/0.74 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.77/0.74 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.77/0.74 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.77/0.74 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.77/0.74 # Preprocessing time : 0.012 s
% 0.77/0.74 # Presaturation interreduction done
% 0.77/0.74
% 0.77/0.74 # Proof found!
% 0.77/0.74 # SZS status Theorem
% 0.77/0.74 # SZS output start CNFRefutation
% See solution above
% 0.77/0.74 # Parsed axioms : 1811
% 0.77/0.74 # Removed by relevancy pruning/SinE : 1309
% 0.77/0.74 # Initial clauses : 778
% 0.77/0.74 # Removed in clause preprocessing : 39
% 0.77/0.74 # Initial clauses in saturation : 739
% 0.77/0.74 # Processed clauses : 2184
% 0.77/0.74 # ...of these trivial : 32
% 0.77/0.74 # ...subsumed : 1025
% 0.77/0.74 # ...remaining for further processing : 1127
% 0.77/0.74 # Other redundant clauses eliminated : 164
% 0.77/0.74 # Clauses deleted for lack of memory : 0
% 0.77/0.74 # Backward-subsumed : 10
% 0.77/0.74 # Backward-rewritten : 7
% 0.77/0.74 # Generated clauses : 4063
% 0.77/0.74 # ...of the previous two non-redundant : 3222
% 0.77/0.74 # ...aggressively subsumed : 0
% 0.77/0.74 # Contextual simplify-reflections : 5
% 0.77/0.74 # Paramodulations : 3899
% 0.77/0.74 # Factorizations : 0
% 0.77/0.74 # NegExts : 0
% 0.77/0.74 # Equation resolutions : 174
% 0.77/0.74 # Disequality decompositions : 0
% 0.77/0.74 # Total rewrite steps : 1471
% 0.77/0.74 # ...of those cached : 1132
% 0.77/0.74 # Propositional unsat checks : 0
% 0.77/0.74 # Propositional check models : 0
% 0.77/0.74 # Propositional check unsatisfiable : 0
% 0.77/0.74 # Propositional clauses : 0
% 0.77/0.74 # Propositional clauses after purity: 0
% 0.77/0.74 # Propositional unsat core size : 0
% 0.77/0.74 # Propositional preprocessing time : 0.000
% 0.77/0.74 # Propositional encoding time : 0.000
% 0.77/0.74 # Propositional solver time : 0.000
% 0.77/0.74 # Success case prop preproc time : 0.000
% 0.77/0.74 # Success case prop encoding time : 0.000
% 0.77/0.74 # Success case prop solver time : 0.000
% 0.77/0.74 # Current number of processed clauses : 542
% 0.77/0.74 # Positive orientable unit clauses : 120
% 0.77/0.74 # Positive unorientable unit clauses: 4
% 0.77/0.74 # Negative unit clauses : 49
% 0.77/0.74 # Non-unit-clauses : 369
% 0.77/0.74 # Current number of unprocessed clauses: 2249
% 0.77/0.74 # ...number of literals in the above : 5152
% 0.77/0.74 # Current number of archived formulas : 0
% 0.77/0.74 # Current number of archived clauses : 498
% 0.77/0.74 # Clause-clause subsumption calls (NU) : 30882
% 0.77/0.74 # Rec. Clause-clause subsumption calls : 25587
% 0.77/0.74 # Non-unit clause-clause subsumptions : 655
% 0.77/0.74 # Unit Clause-clause subsumption calls : 967
% 0.77/0.74 # Rewrite failures with RHS unbound : 0
% 0.77/0.74 # BW rewrite match attempts : 523
% 0.77/0.74 # BW rewrite match successes : 127
% 0.77/0.74 # Condensation attempts : 0
% 0.77/0.74 # Condensation successes : 0
% 0.77/0.74 # Termbank termtop insertions : 155639
% 0.77/0.74 # Search garbage collected termcells : 21099
% 0.77/0.74
% 0.77/0.74 # -------------------------------------------------
% 0.77/0.74 # User time : 0.160 s
% 0.77/0.74 # System time : 0.017 s
% 0.77/0.74 # Total time : 0.178 s
% 0.77/0.74 # Maximum resident set size: 7744 pages
% 0.77/0.74
% 0.77/0.74 # -------------------------------------------------
% 0.77/0.74 # User time : 0.222 s
% 0.77/0.74 # System time : 0.024 s
% 0.77/0.74 # Total time : 0.246 s
% 0.77/0.74 # Maximum resident set size: 5220 pages
% 0.77/0.74 % E---3.1 exiting
% 0.77/0.74 % E exiting
%------------------------------------------------------------------------------