TSTP Solution File: SWW473+1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW473+1 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 : Mon Jun 24 18:12:09 EDT 2024
% Result : Theorem 0.52s 0.62s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 10 unt; 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 : 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/sandbox/tmp/tmp.3TLnk8QJ80/E---3.1_30254.p',conj_6) ).
fof(fact_274_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/sandbox/tmp/tmp.3TLnk8QJ80/E---3.1_30254.p',fact_274_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/sandbox/tmp/tmp.3TLnk8QJ80/E---3.1_30254.p',conj_1) ).
fof(fact_261_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/sandbox/tmp/tmp.3TLnk8QJ80/E---3.1_30254.p',fact_261_imageI) ).
fof(conj_4,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/tmp/tmp.3TLnk8QJ80/E---3.1_30254.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,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_nnf,[status(thm)],[c_0_5]) ).
fof(c_0_7,plain,
! [X137,X138,X139] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X137),X139))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X137,X138)),X139)) )
& ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X138),X139))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X137,X138)),X139)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X137),X139))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X138),X139))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X137,X138)),X139)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_274_insert__subset])])])]) ).
cnf(c_0_8,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_6]) ).
cnf(c_0_9,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_7]) ).
cnf(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]) ).
fof(c_0_11,plain,
! [X192,X193,X194] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X193),X194))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X192,X193)),image_pname_a(X192,X194))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_261_imageI])])]) ).
cnf(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])]) ).
cnf(c_0_13,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_11]) ).
cnf(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
% 0.07/0.13 % Problem : SWW473+1 : TPTP v8.2.0. Released v5.3.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 06:14:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.53 Running first-order theorem proving
% 0.20/0.53 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.3TLnk8QJ80/E---3.1_30254.p
% 0.52/0.62 # Version: 3.2.0
% 0.52/0.62 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.52/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.62 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.52/0.62 # Starting new_bool_3 with 600s (2) cores
% 0.52/0.62 # Starting new_bool_1 with 300s (1) cores
% 0.52/0.62 # Starting sh5l with 300s (1) cores
% 0.52/0.62 # new_bool_1 with pid 30334 completed with status 0
% 0.52/0.62 # Result found by new_bool_1
% 0.52/0.62 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.52/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.62 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.52/0.62 # Starting new_bool_3 with 600s (2) cores
% 0.52/0.62 # Starting new_bool_1 with 300s (1) cores
% 0.52/0.62 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/0.62 # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.52/0.62 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.52/0.62 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.52/0.62 # G-E--_303_C18_F1_URBAN_S0Y with pid 30338 completed with status 0
% 0.52/0.62 # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 0.52/0.62 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.52/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.62 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.52/0.62 # Starting new_bool_3 with 600s (2) cores
% 0.52/0.62 # Starting new_bool_1 with 300s (1) cores
% 0.52/0.62 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/0.62 # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.52/0.62 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.52/0.62 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 0.52/0.62 # Preprocessing time : 0.010 s
% 0.52/0.62
% 0.52/0.62 # Proof found!
% 0.52/0.62 # SZS status Theorem
% 0.52/0.62 # SZS output start CNFRefutation
% See solution above
% 0.52/0.62 # Parsed axioms : 449
% 0.52/0.62 # Removed by relevancy pruning/SinE : 258
% 0.52/0.62 # Initial clauses : 264
% 0.52/0.62 # Removed in clause preprocessing : 5
% 0.52/0.62 # Initial clauses in saturation : 259
% 0.52/0.62 # Processed clauses : 271
% 0.52/0.62 # ...of these trivial : 4
% 0.52/0.62 # ...subsumed : 44
% 0.52/0.62 # ...remaining for further processing : 223
% 0.52/0.62 # Other redundant clauses eliminated : 29
% 0.52/0.62 # Clauses deleted for lack of memory : 0
% 0.52/0.62 # Backward-subsumed : 0
% 0.52/0.62 # Backward-rewritten : 0
% 0.52/0.62 # Generated clauses : 830
% 0.52/0.62 # ...of the previous two non-redundant : 650
% 0.52/0.62 # ...aggressively subsumed : 0
% 0.52/0.62 # Contextual simplify-reflections : 0
% 0.52/0.62 # Paramodulations : 796
% 0.52/0.62 # Factorizations : 2
% 0.52/0.62 # NegExts : 0
% 0.52/0.62 # Equation resolutions : 32
% 0.52/0.62 # Disequality decompositions : 0
% 0.52/0.62 # Total rewrite steps : 129
% 0.52/0.62 # ...of those cached : 78
% 0.52/0.62 # Propositional unsat checks : 0
% 0.52/0.62 # Propositional check models : 0
% 0.52/0.62 # Propositional check unsatisfiable : 0
% 0.52/0.62 # Propositional clauses : 0
% 0.52/0.62 # Propositional clauses after purity: 0
% 0.52/0.62 # Propositional unsat core size : 0
% 0.52/0.62 # Propositional preprocessing time : 0.000
% 0.52/0.62 # Propositional encoding time : 0.000
% 0.52/0.62 # Propositional solver time : 0.000
% 0.52/0.62 # Success case prop preproc time : 0.000
% 0.52/0.62 # Success case prop encoding time : 0.000
% 0.52/0.62 # Success case prop solver time : 0.000
% 0.52/0.62 # Current number of processed clauses : 195
% 0.52/0.62 # Positive orientable unit clauses : 32
% 0.52/0.62 # Positive unorientable unit clauses: 4
% 0.52/0.62 # Negative unit clauses : 7
% 0.52/0.62 # Non-unit-clauses : 152
% 0.52/0.62 # Current number of unprocessed clauses: 638
% 0.52/0.62 # ...number of literals in the above : 1913
% 0.52/0.62 # Current number of archived formulas : 0
% 0.52/0.62 # Current number of archived clauses : 0
% 0.52/0.62 # Clause-clause subsumption calls (NU) : 2709
% 0.52/0.62 # Rec. Clause-clause subsumption calls : 1960
% 0.52/0.62 # Non-unit clause-clause subsumptions : 40
% 0.52/0.62 # Unit Clause-clause subsumption calls : 140
% 0.52/0.62 # Rewrite failures with RHS unbound : 0
% 0.52/0.62 # BW rewrite match attempts : 31
% 0.52/0.62 # BW rewrite match successes : 6
% 0.52/0.62 # Condensation attempts : 0
% 0.52/0.62 # Condensation successes : 0
% 0.52/0.62 # Termbank termtop insertions : 41070
% 0.52/0.62 # Search garbage collected termcells : 5434
% 0.52/0.62
% 0.52/0.62 # -------------------------------------------------
% 0.52/0.62 # User time : 0.052 s
% 0.52/0.62 # System time : 0.009 s
% 0.52/0.62 # Total time : 0.061 s
% 0.52/0.62 # Maximum resident set size: 3376 pages
% 0.52/0.62
% 0.52/0.62 # -------------------------------------------------
% 0.52/0.62 # User time : 0.067 s
% 0.52/0.62 # System time : 0.010 s
% 0.52/0.62 # Total time : 0.077 s
% 0.52/0.62 # Maximum resident set size: 2300 pages
% 0.52/0.62 % E---3.1 exiting
% 0.52/0.62 % E exiting
%------------------------------------------------------------------------------