TSTP Solution File: SWW473_2 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW473_2 : TPTP v8.1.2. Released v5.3.0.
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:09:32 EDT 2023
% Result : Theorem 0.53s 0.88s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 21
% Syntax : Number of formulae : 31 ( 9 unt; 16 typ; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 8 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 17 ( 9 >; 8 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 12 prp; 0-1 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_138,type,
ord_le1311769555a_bool: fun_fu1471507361l_bool ).
tff(decl_159,type,
image_pname_a: ( fun_pname_a * fun_pname_bool ) > fun_a_bool ).
tff(decl_180,type,
insert_a: ( x_a * fun_a_bool ) > fun_a_bool ).
tff(decl_206,type,
hAPP_a85458249l_bool: ( fun_a_1255737515l_bool * x_a ) > fun_fun_a_bool_bool ).
tff(decl_209,type,
hAPP_pname_a: ( fun_pname_a * pname ) > x_a ).
tff(decl_218,type,
hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).
tff(decl_234,type,
hAPP_fun_a_bool_bool: ( fun_fun_a_bool_bool * fun_a_bool ) > bool ).
tff(decl_240,type,
hAPP_f1631501043l_bool: ( fun_fu1471507361l_bool * fun_a_bool ) > fun_fun_a_bool_bool ).
tff(decl_243,type,
hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).
tff(decl_275,type,
hBOOL: bool > $o ).
tff(decl_276,type,
member_a: fun_a_1255737515l_bool ).
tff(decl_277,type,
member_pname: fun_pn422929397l_bool ).
tff(decl_282,type,
g: fun_a_bool ).
tff(decl_284,type,
u: fun_pname_bool ).
tff(decl_286,type,
mgt_call: fun_pname_a ).
tff(decl_288,type,
pn: pname ).
tff(conj_6,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/tmp/tmp.WBUlPxONJD/E---3.1_5523.p',conj_6) ).
tff(fact_324_insert__subset,axiom,
! [X694: x_a,X695: fun_a_bool,X696: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X694,X695)),X696))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X694),X696))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X695),X696)) ) ),
file('/export/starexec/sandbox/tmp/tmp.WBUlPxONJD/E---3.1_5523.p',fact_324_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/sandbox/tmp/tmp.WBUlPxONJD/E---3.1_5523.p',conj_1) ).
tff(fact_307_imageI,axiom,
! [X650: fun_pname_a,X651: pname,X652: fun_pname_bool] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X651),X652))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X650,X651)),image_pname_a(X650,X652))) ),
file('/export/starexec/sandbox/tmp/tmp.WBUlPxONJD/E---3.1_5523.p',fact_307_imageI) ).
tff(conj_4,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/tmp/tmp.WBUlPxONJD/E---3.1_5523.p',conj_4) ).
tff(c_0_5,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_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,plain,
! [X1847: x_a,X1848: fun_a_bool,X1849: fun_a_bool] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1847),X1849))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1847,X1848)),X1849)) )
& ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1848),X1849))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1847,X1848)),X1849)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1847),X1849))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1848),X1849))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1847,X1848)),X1849)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_324_insert__subset])])]) ).
tcf(c_0_7,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,plain,
! [X47: x_a,X2: fun_a_bool,X1: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X47,X2)),X1))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X47),X1))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_9,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_10,plain,
! [X1865: fun_pname_a,X1866: pname,X1867: fun_pname_bool] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1866),X1867))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1865,X1866)),image_pname_a(X1865,X1867))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_307_imageI])]) ).
tcf(c_0_11,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_7,c_0_8]),c_0_9])]) ).
tcf(c_0_12,plain,
! [X43: pname,X37: fun_pname_a,X7: fun_pname_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X37,X43)),image_pname_a(X37,X7)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X43),X7)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tcf(c_0_13,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(split_conjunct,[status(thm)],[conj_4]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.24 % Problem : SWW473_2 : TPTP v8.1.2. Released v5.3.0.
% 0.10/0.25 % Command : run_E %s %d THM
% 0.24/0.45 % Computer : n018.cluster.edu
% 0.24/0.45 % Model : x86_64 x86_64
% 0.24/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.45 % Memory : 8042.1875MB
% 0.24/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.24/0.45 % CPULimit : 2400
% 0.24/0.45 % WCLimit : 300
% 0.24/0.45 % DateTime : Mon Oct 2 23:03:24 EDT 2023
% 0.24/0.45 % CPUTime :
% 0.44/0.69 Running first-order theorem proving
% 0.44/0.69 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.WBUlPxONJD/E---3.1_5523.p
% 0.53/0.88 # Version: 3.1pre001
% 0.53/0.88 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.53/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.53/0.88 # Starting new_bool_3 with 300s (1) cores
% 0.53/0.88 # Starting new_bool_1 with 300s (1) cores
% 0.53/0.88 # Starting sh5l with 300s (1) cores
% 0.53/0.88 # new_bool_1 with pid 5612 completed with status 0
% 0.53/0.88 # Result found by new_bool_1
% 0.53/0.88 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.53/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.53/0.88 # Starting new_bool_3 with 300s (1) cores
% 0.53/0.88 # Starting new_bool_1 with 300s (1) cores
% 0.53/0.88 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.53/0.88 # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.53/0.88 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.53/0.88 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.53/0.88 # G-E--_303_C18_F1_URBAN_S0Y with pid 5620 completed with status 0
% 0.53/0.88 # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 0.53/0.88 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.53/0.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.53/0.88 # Starting new_bool_3 with 300s (1) cores
% 0.53/0.88 # Starting new_bool_1 with 300s (1) cores
% 0.53/0.88 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.53/0.88 # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.53/0.88 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.53/0.88 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.53/0.88 # Preprocessing time : 0.014 s
% 0.53/0.88
% 0.53/0.88 # Proof found!
% 0.53/0.88 # SZS status Theorem
% 0.53/0.88 # SZS output start CNFRefutation
% See solution above
% 0.53/0.88 # Parsed axioms : 1168
% 0.53/0.88 # Removed by relevancy pruning/SinE : 758
% 0.53/0.88 # Initial clauses : 591
% 0.53/0.88 # Removed in clause preprocessing : 37
% 0.53/0.88 # Initial clauses in saturation : 554
% 0.53/0.88 # Processed clauses : 560
% 0.53/0.88 # ...of these trivial : 15
% 0.53/0.88 # ...subsumed : 130
% 0.53/0.88 # ...remaining for further processing : 415
% 0.53/0.88 # Other redundant clauses eliminated : 74
% 0.53/0.88 # Clauses deleted for lack of memory : 0
% 0.53/0.88 # Backward-subsumed : 0
% 0.53/0.88 # Backward-rewritten : 0
% 0.53/0.88 # Generated clauses : 3080
% 0.53/0.88 # ...of the previous two non-redundant : 2703
% 0.53/0.88 # ...aggressively subsumed : 0
% 0.53/0.88 # Contextual simplify-reflections : 2
% 0.53/0.88 # Paramodulations : 2985
% 0.53/0.88 # Factorizations : 4
% 0.53/0.88 # NegExts : 0
% 0.53/0.88 # Equation resolutions : 94
% 0.53/0.88 # Total rewrite steps : 936
% 0.53/0.88 # Propositional unsat checks : 0
% 0.53/0.88 # Propositional check models : 0
% 0.53/0.88 # Propositional check unsatisfiable : 0
% 0.53/0.88 # Propositional clauses : 0
% 0.53/0.88 # Propositional clauses after purity: 0
% 0.53/0.88 # Propositional unsat core size : 0
% 0.53/0.88 # Propositional preprocessing time : 0.000
% 0.53/0.88 # Propositional encoding time : 0.000
% 0.53/0.88 # Propositional solver time : 0.000
% 0.53/0.88 # Success case prop preproc time : 0.000
% 0.53/0.88 # Success case prop encoding time : 0.000
% 0.53/0.88 # Success case prop solver time : 0.000
% 0.53/0.88 # Current number of processed clauses : 360
% 0.53/0.88 # Positive orientable unit clauses : 51
% 0.53/0.88 # Positive unorientable unit clauses: 5
% 0.53/0.88 # Negative unit clauses : 15
% 0.53/0.88 # Non-unit-clauses : 289
% 0.53/0.88 # Current number of unprocessed clauses: 2696
% 0.53/0.88 # ...number of literals in the above : 7316
% 0.53/0.88 # Current number of archived formulas : 0
% 0.53/0.88 # Current number of archived clauses : 0
% 0.53/0.88 # Clause-clause subsumption calls (NU) : 7574
% 0.53/0.88 # Rec. Clause-clause subsumption calls : 4695
% 0.53/0.88 # Non-unit clause-clause subsumptions : 122
% 0.53/0.88 # Unit Clause-clause subsumption calls : 52
% 0.53/0.88 # Rewrite failures with RHS unbound : 0
% 0.53/0.88 # BW rewrite match attempts : 101
% 0.53/0.88 # BW rewrite match successes : 18
% 0.53/0.88 # Condensation attempts : 0
% 0.53/0.88 # Condensation successes : 0
% 0.53/0.88 # Termbank termtop insertions : 105438
% 0.53/0.88
% 0.53/0.88 # -------------------------------------------------
% 0.53/0.88 # User time : 0.124 s
% 0.53/0.88 # System time : 0.012 s
% 0.53/0.88 # Total time : 0.136 s
% 0.53/0.88 # Maximum resident set size: 5704 pages
% 0.53/0.88
% 0.53/0.88 # -------------------------------------------------
% 0.53/0.88 # User time : 0.157 s
% 0.53/0.88 # System time : 0.018 s
% 0.53/0.88 # Total time : 0.175 s
% 0.53/0.88 # Maximum resident set size: 3856 pages
% 0.53/0.88 % E---3.1 exiting
% 0.53/0.89 % E---3.1 exiting
%------------------------------------------------------------------------------