TSTP Solution File: SWW473+3 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW473+3 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 18:12:11 EDT 2024
% Result : Theorem 0.47s 0.93s
% Output : CNFRefutation 0.47s
% 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 : 6 ( 2 avg)
% 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 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(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/sandbox/tmp/tmp.tlp4DUvG3g/E---3.1_19356.p',conj_6) ).
fof(fact_453_insert__subset,axiom,
! [X11,X5,X10] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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.tlp4DUvG3g/E---3.1_19356.p',fact_453_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.tlp4DUvG3g/E---3.1_19356.p',conj_1) ).
fof(fact_434_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.tlp4DUvG3g/E---3.1_19356.p',fact_434_imageI) ).
fof(conj_4,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/tmp/tmp.tlp4DUvG3g/E---3.1_19356.p',conj_4) ).
fof(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])]) ).
fof(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]) ).
fof(c_0_7,plain,
! [X270,X271,X272] :
( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X270),X272))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X270),X271)),X272)) )
& ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X271),X272))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X270),X271)),X272)) )
& ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X270),X272))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X271),X272))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X270),X271)),X272)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_453_insert__subset])])])]) ).
cnf(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]) ).
cnf(c_0_9,plain,
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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,
! [X338,X339,X340] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X339),X340))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X338,X339)),image_pname_a(X338,X340))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_434_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
% 0.11/0.12 % 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 : n016.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 : Wed Jun 19 04:44:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.47/0.63 Running first-order theorem proving
% 0.47/0.63 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.tlp4DUvG3g/E---3.1_19356.p
% 0.47/0.93 # Version: 3.2.0
% 0.47/0.93 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.47/0.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.47/0.93 # Starting new_bool_3 with 300s (1) cores
% 0.47/0.93 # Starting new_bool_1 with 300s (1) cores
% 0.47/0.93 # Starting sh5l with 300s (1) cores
% 0.47/0.93 # new_bool_3 with pid 19435 completed with status 0
% 0.47/0.93 # Result found by new_bool_3
% 0.47/0.93 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.47/0.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.47/0.93 # Starting new_bool_3 with 300s (1) cores
% 0.47/0.93 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.47/0.93 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.47/0.93 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.47/0.93 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.47/0.93 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 19439 completed with status 0
% 0.47/0.93 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.47/0.93 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.47/0.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.47/0.93 # Starting new_bool_3 with 300s (1) cores
% 0.47/0.93 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.47/0.93 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.47/0.93 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.47/0.93 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.47/0.93 # Preprocessing time : 0.014 s
% 0.47/0.93 # Presaturation interreduction done
% 0.47/0.93
% 0.47/0.93 # Proof found!
% 0.47/0.93 # SZS status Theorem
% 0.47/0.93 # SZS output start CNFRefutation
% See solution above
% 0.47/0.93 # Parsed axioms : 1415
% 0.47/0.93 # Removed by relevancy pruning/SinE : 881
% 0.47/0.93 # Initial clauses : 862
% 0.47/0.93 # Removed in clause preprocessing : 39
% 0.47/0.93 # Initial clauses in saturation : 823
% 0.47/0.93 # Processed clauses : 2547
% 0.47/0.93 # ...of these trivial : 32
% 0.47/0.93 # ...subsumed : 1160
% 0.47/0.93 # ...remaining for further processing : 1355
% 0.47/0.93 # Other redundant clauses eliminated : 176
% 0.47/0.93 # Clauses deleted for lack of memory : 0
% 0.47/0.93 # Backward-subsumed : 10
% 0.47/0.93 # Backward-rewritten : 5
% 0.47/0.93 # Generated clauses : 4914
% 0.47/0.93 # ...of the previous two non-redundant : 3951
% 0.47/0.93 # ...aggressively subsumed : 0
% 0.47/0.93 # Contextual simplify-reflections : 19
% 0.47/0.93 # Paramodulations : 4735
% 0.47/0.93 # Factorizations : 0
% 0.47/0.93 # NegExts : 0
% 0.47/0.93 # Equation resolutions : 186
% 0.47/0.93 # Disequality decompositions : 0
% 0.47/0.93 # Total rewrite steps : 1783
% 0.47/0.93 # ...of those cached : 1435
% 0.47/0.93 # Propositional unsat checks : 0
% 0.47/0.93 # Propositional check models : 0
% 0.47/0.93 # Propositional check unsatisfiable : 0
% 0.47/0.93 # Propositional clauses : 0
% 0.47/0.93 # Propositional clauses after purity: 0
% 0.47/0.93 # Propositional unsat core size : 0
% 0.47/0.93 # Propositional preprocessing time : 0.000
% 0.47/0.93 # Propositional encoding time : 0.000
% 0.47/0.93 # Propositional solver time : 0.000
% 0.47/0.93 # Success case prop preproc time : 0.000
% 0.47/0.93 # Success case prop encoding time : 0.000
% 0.47/0.93 # Success case prop solver time : 0.000
% 0.47/0.93 # Current number of processed clauses : 684
% 0.47/0.93 # Positive orientable unit clauses : 127
% 0.47/0.93 # Positive unorientable unit clauses: 4
% 0.47/0.93 # Negative unit clauses : 59
% 0.47/0.93 # Non-unit-clauses : 494
% 0.47/0.93 # Current number of unprocessed clauses: 2780
% 0.47/0.93 # ...number of literals in the above : 6947
% 0.47/0.93 # Current number of archived formulas : 0
% 0.47/0.93 # Current number of archived clauses : 583
% 0.47/0.93 # Clause-clause subsumption calls (NU) : 50412
% 0.47/0.93 # Rec. Clause-clause subsumption calls : 36792
% 0.47/0.93 # Non-unit clause-clause subsumptions : 720
% 0.47/0.93 # Unit Clause-clause subsumption calls : 806
% 0.47/0.93 # Rewrite failures with RHS unbound : 0
% 0.47/0.93 # BW rewrite match attempts : 475
% 0.47/0.93 # BW rewrite match successes : 124
% 0.47/0.93 # Condensation attempts : 0
% 0.47/0.93 # Condensation successes : 0
% 0.47/0.93 # Termbank termtop insertions : 181409
% 0.47/0.93 # Search garbage collected termcells : 18831
% 0.47/0.93
% 0.47/0.93 # -------------------------------------------------
% 0.47/0.93 # User time : 0.242 s
% 0.47/0.93 # System time : 0.013 s
% 0.47/0.93 # Total time : 0.255 s
% 0.47/0.93 # Maximum resident set size: 6184 pages
% 0.47/0.93
% 0.47/0.93 # -------------------------------------------------
% 0.47/0.93 # User time : 0.270 s
% 0.47/0.93 # System time : 0.015 s
% 0.47/0.93 # Total time : 0.285 s
% 0.47/0.93 # Maximum resident set size: 3672 pages
% 0.47/0.93 % E---3.1 exiting
% 0.47/0.93 % E exiting
%------------------------------------------------------------------------------