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 : n009.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 0.51s 0.87s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 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 predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(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/sandbox2/tmp/tmp.DiHXH4FVE6/E---3.1_18687.p',conj_6) ).
fof(fact_324_insert__subset,axiom,
! [X11,X5,X10] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X11,X5)),X10))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X11),X10))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X5),X10)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DiHXH4FVE6/E---3.1_18687.p',fact_324_insert__subset) ).
fof(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/tmp/tmp.DiHXH4FVE6/E---3.1_18687.p',conj_1) ).
fof(fact_307_imageI,axiom,
! [X9,X11,X5] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X11),X5))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X9,X11)),image_pname_a(X9,X5))) ),
file('/export/starexec/sandbox2/tmp/tmp.DiHXH4FVE6/E---3.1_18687.p',fact_307_imageI) ).
fof(conj_4,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/tmp/tmp.DiHXH4FVE6/E---3.1_18687.p',conj_4) ).
fof(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])]) ).
fof(c_0_6,plain,
! [X203,X204,X205] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X203),X205))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X203,X204)),X205)) )
& ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X204),X205))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X203,X204)),X205)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X203),X205))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X204),X205))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X203,X204)),X205)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_324_insert__subset])])]) ).
cnf(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]) ).
cnf(c_0_8,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1,X3)),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(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]) ).
fof(c_0_10,plain,
! [X274,X275,X276] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X275),X276))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X274,X275)),image_pname_a(X274,X276))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_307_imageI])]) ).
cnf(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])]) ).
cnf(c_0_12,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X3,X1)),image_pname_a(X3,X2)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(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
% 0.11/0.22 % Problem : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.23 % Command : run_E %s %d THM
% 0.23/0.44 % Computer : n009.cluster.edu
% 0.23/0.44 % Model : x86_64 x86_64
% 0.23/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.44 % Memory : 8042.1875MB
% 0.23/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.44 % CPULimit : 2400
% 0.23/0.44 % WCLimit : 300
% 0.23/0.44 % DateTime : Mon Oct 2 22:46:14 EDT 2023
% 0.23/0.44 % CPUTime :
% 0.46/0.67 Running first-order theorem proving
% 0.46/0.67 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.DiHXH4FVE6/E---3.1_18687.p
% 0.51/0.87 # Version: 3.1pre001
% 0.51/0.87 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.51/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.87 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.51/0.87 # Starting new_bool_3 with 600s (2) cores
% 0.51/0.87 # Starting new_bool_1 with 300s (1) cores
% 0.51/0.87 # Starting sh5l with 300s (1) cores
% 0.51/0.87 # new_bool_3 with pid 18766 completed with status 0
% 0.51/0.87 # Result found by new_bool_3
% 0.51/0.87 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.51/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.87 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.51/0.87 # Starting new_bool_3 with 600s (2) cores
% 0.51/0.87 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.51/0.87 # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.51/0.87 # Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.51/0.87 # Starting G-E--_303_C18_F1_URBAN_S0Y with 50s (1) cores
% 0.51/0.87 # Starting new_bool_3 with 61s (1) cores
% 0.51/0.87 # G-E--_303_C18_F1_URBAN_S0Y with pid 18769 completed with status 0
% 0.51/0.87 # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 0.51/0.87 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.51/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.87 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.51/0.87 # Starting new_bool_3 with 600s (2) cores
% 0.51/0.87 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.51/0.87 # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.51/0.87 # Scheduled 12 strats onto 2 cores with 600 seconds (600 total)
% 0.51/0.87 # Starting G-E--_303_C18_F1_URBAN_S0Y with 50s (1) cores
% 0.51/0.87 # Preprocessing time : 0.019 s
% 0.51/0.87
% 0.51/0.87 # Proof found!
% 0.51/0.87 # SZS status Theorem
% 0.51/0.87 # SZS output start CNFRefutation
% See solution above
% 0.51/0.87 # Parsed axioms : 917
% 0.51/0.87 # Removed by relevancy pruning/SinE : 438
% 0.51/0.87 # Initial clauses : 722
% 0.51/0.87 # Removed in clause preprocessing : 37
% 0.51/0.87 # Initial clauses in saturation : 685
% 0.51/0.87 # Processed clauses : 703
% 0.51/0.87 # ...of these trivial : 15
% 0.51/0.87 # ...subsumed : 156
% 0.51/0.87 # ...remaining for further processing : 532
% 0.51/0.87 # Other redundant clauses eliminated : 75
% 0.51/0.87 # Clauses deleted for lack of memory : 0
% 0.51/0.87 # Backward-subsumed : 1
% 0.51/0.87 # Backward-rewritten : 0
% 0.51/0.87 # Generated clauses : 3296
% 0.51/0.87 # ...of the previous two non-redundant : 2860
% 0.51/0.87 # ...aggressively subsumed : 0
% 0.51/0.87 # Contextual simplify-reflections : 2
% 0.51/0.87 # Paramodulations : 3202
% 0.51/0.87 # Factorizations : 4
% 0.51/0.87 # NegExts : 0
% 0.51/0.87 # Equation resolutions : 93
% 0.51/0.87 # Total rewrite steps : 1004
% 0.51/0.87 # Propositional unsat checks : 0
% 0.51/0.87 # Propositional check models : 0
% 0.51/0.87 # Propositional check unsatisfiable : 0
% 0.51/0.87 # Propositional clauses : 0
% 0.51/0.87 # Propositional clauses after purity: 0
% 0.51/0.87 # Propositional unsat core size : 0
% 0.51/0.87 # Propositional preprocessing time : 0.000
% 0.51/0.87 # Propositional encoding time : 0.000
% 0.51/0.87 # Propositional solver time : 0.000
% 0.51/0.87 # Success case prop preproc time : 0.000
% 0.51/0.87 # Success case prop encoding time : 0.000
% 0.51/0.87 # Success case prop solver time : 0.000
% 0.51/0.87 # Current number of processed clauses : 475
% 0.51/0.87 # Positive orientable unit clauses : 65
% 0.51/0.87 # Positive unorientable unit clauses: 5
% 0.51/0.87 # Negative unit clauses : 17
% 0.51/0.87 # Non-unit-clauses : 388
% 0.51/0.87 # Current number of unprocessed clauses: 2841
% 0.51/0.87 # ...number of literals in the above : 8409
% 0.51/0.87 # Current number of archived formulas : 0
% 0.51/0.87 # Current number of archived clauses : 1
% 0.51/0.87 # Clause-clause subsumption calls (NU) : 17678
% 0.51/0.87 # Rec. Clause-clause subsumption calls : 10136
% 0.51/0.87 # Non-unit clause-clause subsumptions : 146
% 0.51/0.87 # Unit Clause-clause subsumption calls : 398
% 0.51/0.87 # Rewrite failures with RHS unbound : 0
% 0.51/0.87 # BW rewrite match attempts : 120
% 0.51/0.87 # BW rewrite match successes : 30
% 0.51/0.87 # Condensation attempts : 0
% 0.51/0.87 # Condensation successes : 0
% 0.51/0.87 # Termbank termtop insertions : 122222
% 0.51/0.87
% 0.51/0.87 # -------------------------------------------------
% 0.51/0.87 # User time : 0.145 s
% 0.51/0.87 # System time : 0.018 s
% 0.51/0.87 # Total time : 0.163 s
% 0.51/0.87 # Maximum resident set size: 5356 pages
% 0.51/0.87
% 0.51/0.87 # -------------------------------------------------
% 0.51/0.87 # User time : 0.295 s
% 0.51/0.87 # System time : 0.023 s
% 0.51/0.87 # Total time : 0.318 s
% 0.51/0.87 # Maximum resident set size: 2952 pages
% 0.51/0.87 % E---3.1 exiting
% 0.51/0.87 % E---3.1 exiting
%------------------------------------------------------------------------------