TSTP Solution File: NUM393+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM393+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 18:55:36 EDT 2023
% Result : Theorem 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 65 ( 24 ~; 26 |; 7 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t25_ordinal1,conjecture,
! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> inclusion_comparable(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TuVLrmG0ez/E---3.1_25557.p',t25_ordinal1) ).
fof(connectedness_r1_ordinal1,axiom,
! [X1,X2] :
( ( ordinal(X1)
& ordinal(X2) )
=> ( ordinal_subset(X1,X2)
| ordinal_subset(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TuVLrmG0ez/E---3.1_25557.p',connectedness_r1_ordinal1) ).
fof(d9_xboole_0,axiom,
! [X1,X2] :
( inclusion_comparable(X1,X2)
<=> ( subset(X1,X2)
| subset(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TuVLrmG0ez/E---3.1_25557.p',d9_xboole_0) ).
fof(redefinition_r1_ordinal1,axiom,
! [X1,X2] :
( ( ordinal(X1)
& ordinal(X2) )
=> ( ordinal_subset(X1,X2)
<=> subset(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TuVLrmG0ez/E---3.1_25557.p',redefinition_r1_ordinal1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> inclusion_comparable(X1,X2) ) ),
inference(assume_negation,[status(cth)],[t25_ordinal1]) ).
fof(c_0_5,plain,
! [X16,X17] :
( ~ ordinal(X16)
| ~ ordinal(X17)
| ordinal_subset(X16,X17)
| ordinal_subset(X17,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_ordinal1])]) ).
fof(c_0_6,negated_conjecture,
( ordinal(esk1_0)
& ordinal(esk2_0)
& ~ inclusion_comparable(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,plain,
( ordinal_subset(X1,X2)
| ordinal_subset(X2,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
ordinal(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X6,X7] :
( ( ~ inclusion_comparable(X6,X7)
| subset(X6,X7)
| subset(X7,X6) )
& ( ~ subset(X6,X7)
| inclusion_comparable(X6,X7) )
& ( ~ subset(X7,X6)
| inclusion_comparable(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_xboole_0])])]) ).
fof(c_0_10,plain,
! [X11,X12] :
( ( ~ ordinal_subset(X11,X12)
| subset(X11,X12)
| ~ ordinal(X11)
| ~ ordinal(X12) )
& ( ~ subset(X11,X12)
| ordinal_subset(X11,X12)
| ~ ordinal(X11)
| ~ ordinal(X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])]) ).
cnf(c_0_11,negated_conjecture,
( ordinal_subset(X1,esk2_0)
| ordinal_subset(esk2_0,X1)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
ordinal(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
~ inclusion_comparable(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( inclusion_comparable(X1,X2)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( subset(X1,X2)
| ~ ordinal_subset(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( ordinal_subset(esk2_0,esk1_0)
| ordinal_subset(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
~ subset(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( inclusion_comparable(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
ordinal_subset(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_8]),c_0_12])]),c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ subset(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_19]),c_0_12]),c_0_8])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM393+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 13:43:25 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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.TuVLrmG0ez/E---3.1_25557.p
% 0.15/0.42 # Version: 3.1pre001
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42 # Starting sh5l with 300s (1) cores
% 0.15/0.42 # new_bool_3 with pid 25654 completed with status 0
% 0.15/0.42 # Result found by new_bool_3
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42 # Search class: FGHNS-FFSF11-SFFFFFNN
% 0.15/0.42 # partial match(1): FGHNF-FFSF11-SFFFFFNN
% 0.15/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.42 # SAT001_MinMin_p005000_rr_RG with pid 25657 completed with status 0
% 0.15/0.42 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42 # Search class: FGHNS-FFSF11-SFFFFFNN
% 0.15/0.42 # partial match(1): FGHNF-FFSF11-SFFFFFNN
% 0.15/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.42 # Preprocessing time : 0.001 s
% 0.15/0.42 # Presaturation interreduction done
% 0.15/0.42
% 0.15/0.42 # Proof found!
% 0.15/0.42 # SZS status Theorem
% 0.15/0.42 # SZS output start CNFRefutation
% See solution above
% 0.15/0.42 # Parsed axioms : 37
% 0.15/0.42 # Removed by relevancy pruning/SinE : 23
% 0.15/0.42 # Initial clauses : 20
% 0.15/0.42 # Removed in clause preprocessing : 0
% 0.15/0.42 # Initial clauses in saturation : 20
% 0.15/0.42 # Processed clauses : 59
% 0.15/0.42 # ...of these trivial : 0
% 0.15/0.42 # ...subsumed : 4
% 0.15/0.42 # ...remaining for further processing : 55
% 0.15/0.42 # Other redundant clauses eliminated : 0
% 0.15/0.42 # Clauses deleted for lack of memory : 0
% 0.15/0.42 # Backward-subsumed : 1
% 0.15/0.42 # Backward-rewritten : 1
% 0.15/0.42 # Generated clauses : 35
% 0.15/0.42 # ...of the previous two non-redundant : 24
% 0.15/0.42 # ...aggressively subsumed : 0
% 0.15/0.42 # Contextual simplify-reflections : 0
% 0.15/0.42 # Paramodulations : 35
% 0.15/0.42 # Factorizations : 0
% 0.15/0.42 # NegExts : 0
% 0.15/0.42 # Equation resolutions : 0
% 0.15/0.42 # Total rewrite steps : 11
% 0.15/0.42 # Propositional unsat checks : 0
% 0.15/0.42 # Propositional check models : 0
% 0.15/0.42 # Propositional check unsatisfiable : 0
% 0.15/0.42 # Propositional clauses : 0
% 0.15/0.42 # Propositional clauses after purity: 0
% 0.15/0.42 # Propositional unsat core size : 0
% 0.15/0.42 # Propositional preprocessing time : 0.000
% 0.15/0.42 # Propositional encoding time : 0.000
% 0.15/0.42 # Propositional solver time : 0.000
% 0.15/0.42 # Success case prop preproc time : 0.000
% 0.15/0.42 # Success case prop encoding time : 0.000
% 0.15/0.42 # Success case prop solver time : 0.000
% 0.15/0.42 # Current number of processed clauses : 33
% 0.15/0.42 # Positive orientable unit clauses : 8
% 0.15/0.42 # Positive unorientable unit clauses: 0
% 0.15/0.42 # Negative unit clauses : 3
% 0.15/0.42 # Non-unit-clauses : 22
% 0.15/0.42 # Current number of unprocessed clauses: 4
% 0.15/0.42 # ...number of literals in the above : 10
% 0.15/0.42 # Current number of archived formulas : 0
% 0.15/0.42 # Current number of archived clauses : 22
% 0.15/0.42 # Clause-clause subsumption calls (NU) : 61
% 0.15/0.42 # Rec. Clause-clause subsumption calls : 46
% 0.15/0.42 # Non-unit clause-clause subsumptions : 5
% 0.15/0.42 # Unit Clause-clause subsumption calls : 3
% 0.15/0.42 # Rewrite failures with RHS unbound : 0
% 0.15/0.42 # BW rewrite match attempts : 3
% 0.15/0.42 # BW rewrite match successes : 1
% 0.15/0.42 # Condensation attempts : 0
% 0.15/0.42 # Condensation successes : 0
% 0.15/0.42 # Termbank termtop insertions : 1714
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.006 s
% 0.15/0.42 # System time : 0.001 s
% 0.15/0.42 # Total time : 0.007 s
% 0.15/0.42 # Maximum resident set size: 1716 pages
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.007 s
% 0.15/0.42 # System time : 0.003 s
% 0.15/0.42 # Total time : 0.009 s
% 0.15/0.42 # Maximum resident set size: 1696 pages
% 0.15/0.42 % E---3.1 exiting
% 0.15/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------