TSTP Solution File: NUM414+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 18:55:38 EDT 2023
% Result : Theorem 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 80 ( 10 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 100 ( 42 ~; 36 |; 14 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_r1_ordinal1,axiom,
! [X1,X2] :
( ( ordinal(X1)
& ordinal(X2) )
=> ( ordinal_subset(X1,X2)
<=> subset(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q27d0IUwSm/E---3.1_10353.p',redefinition_r1_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.Q27d0IUwSm/E---3.1_10353.p',connectedness_r1_ordinal1) ).
fof(d8_xboole_0,axiom,
! [X1,X2] :
( proper_subset(X1,X2)
<=> ( subset(X1,X2)
& X1 != X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q27d0IUwSm/E---3.1_10353.p',d8_xboole_0) ).
fof(t50_ordinal1,conjecture,
! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ~ ( ~ proper_subset(X1,X2)
& X1 != X2
& ~ proper_subset(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q27d0IUwSm/E---3.1_10353.p',t50_ordinal1) ).
fof(c_0_4,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])])]) ).
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])]) ).
cnf(c_0_6,plain,
( subset(X1,X2)
| ~ ordinal_subset(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[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]) ).
fof(c_0_8,plain,
! [X8,X9] :
( ( subset(X8,X9)
| ~ proper_subset(X8,X9) )
& ( X8 != X9
| ~ proper_subset(X8,X9) )
& ( ~ subset(X8,X9)
| X8 = X9
| proper_subset(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_xboole_0])])]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| ordinal_subset(X2,X1)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ~ ( ~ proper_subset(X1,X2)
& X1 != X2
& ~ proper_subset(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t50_ordinal1])]) ).
cnf(c_0_11,plain,
( X1 = X2
| proper_subset(X1,X2)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( subset(X1,X2)
| subset(X2,X1)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
fof(c_0_13,negated_conjecture,
( ordinal(esk1_0)
& ordinal(esk2_0)
& ~ proper_subset(esk1_0,esk2_0)
& esk1_0 != esk2_0
& ~ proper_subset(esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_14,plain,
( X1 = X2
| subset(X2,X1)
| proper_subset(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ proper_subset(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
( X1 = X2
| proper_subset(X2,X1)
| proper_subset(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
ordinal(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
ordinal(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
~ proper_subset(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[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_17]),c_0_18])]),c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 13:39:06 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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.Q27d0IUwSm/E---3.1_10353.p
% 0.16/0.44 # Version: 3.1pre001
% 0.16/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # Starting sh5l with 300s (1) cores
% 0.16/0.44 # new_bool_1 with pid 10433 completed with status 0
% 0.16/0.44 # Result found by new_bool_1
% 0.16/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44 # Search class: FGHSS-FFSF11-SFFFFFNN
% 0.16/0.44 # partial match(1): FGHSF-FFSF11-SFFFFFNN
% 0.16/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 0.16/0.44 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 10436 completed with status 0
% 0.16/0.44 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.16/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44 # Search class: FGHSS-FFSF11-SFFFFFNN
% 0.16/0.44 # partial match(1): FGHSF-FFSF11-SFFFFFNN
% 0.16/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 0.16/0.44 # Preprocessing time : 0.001 s
% 0.16/0.44 # Presaturation interreduction done
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Theorem
% 0.16/0.44 # SZS output start CNFRefutation
% See solution above
% 0.16/0.44 # Parsed axioms : 42
% 0.16/0.44 # Removed by relevancy pruning/SinE : 28
% 0.16/0.44 # Initial clauses : 22
% 0.16/0.44 # Removed in clause preprocessing : 0
% 0.16/0.44 # Initial clauses in saturation : 22
% 0.16/0.44 # Processed clauses : 69
% 0.16/0.44 # ...of these trivial : 0
% 0.16/0.44 # ...subsumed : 7
% 0.16/0.44 # ...remaining for further processing : 62
% 0.16/0.44 # Other redundant clauses eliminated : 1
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 1
% 0.16/0.44 # Backward-rewritten : 0
% 0.16/0.44 # Generated clauses : 65
% 0.16/0.44 # ...of the previous two non-redundant : 42
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 0
% 0.16/0.44 # Paramodulations : 58
% 0.16/0.44 # Factorizations : 6
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 1
% 0.16/0.44 # Total rewrite steps : 13
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 39
% 0.16/0.44 # Positive orientable unit clauses : 6
% 0.16/0.44 # Positive unorientable unit clauses: 0
% 0.16/0.44 # Negative unit clauses : 4
% 0.16/0.44 # Non-unit-clauses : 29
% 0.16/0.44 # Current number of unprocessed clauses: 16
% 0.16/0.44 # ...number of literals in the above : 79
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 22
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 63
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 40
% 0.16/0.44 # Non-unit clause-clause subsumptions : 7
% 0.16/0.44 # Unit Clause-clause subsumption calls : 8
% 0.16/0.44 # Rewrite failures with RHS unbound : 0
% 0.16/0.44 # BW rewrite match attempts : 1
% 0.16/0.44 # BW rewrite match successes : 0
% 0.16/0.44 # Condensation attempts : 0
% 0.16/0.44 # Condensation successes : 0
% 0.16/0.44 # Termbank termtop insertions : 2264
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.006 s
% 0.16/0.44 # System time : 0.001 s
% 0.16/0.44 # Total time : 0.007 s
% 0.16/0.44 # Maximum resident set size: 1880 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.007 s
% 0.16/0.44 # System time : 0.002 s
% 0.16/0.44 # Total time : 0.010 s
% 0.16/0.44 # Maximum resident set size: 1704 pages
% 0.16/0.44 % E---3.1 exiting
% 0.16/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------