TSTP Solution File: SET009+3 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET009+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 19:17:50 EDT 2023
% Result : Theorem 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 4 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 59 ( 23 ~; 23 |; 7 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 2 sgn; 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(difference_defn,axiom,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.C3kK6ckrqU/E---3.1_27510.p',difference_defn) ).
fof(prove_subset_difference,conjecture,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(difference(X3,X2),difference(X3,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.C3kK6ckrqU/E---3.1_27510.p',prove_subset_difference) ).
fof(subset_defn,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.C3kK6ckrqU/E---3.1_27510.p',subset_defn) ).
fof(c_0_3,plain,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[difference_defn]) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( subset(X1,X2)
=> subset(difference(X3,X2),difference(X3,X1)) ),
inference(assume_negation,[status(cth)],[prove_subset_difference]) ).
fof(c_0_5,plain,
! [X4,X5,X6] :
( ( member(X6,X4)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X5)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X4)
| member(X6,X5)
| member(X6,difference(X4,X5)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_6,plain,
! [X7,X8,X9,X10,X11] :
( ( ~ subset(X7,X8)
| ~ member(X9,X7)
| member(X9,X8) )
& ( member(esk1_2(X10,X11),X10)
| subset(X10,X11) )
& ( ~ member(esk1_2(X10,X11),X11)
| subset(X10,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset_defn])])])])])]) ).
fof(c_0_7,negated_conjecture,
( subset(esk2_0,esk3_0)
& ~ subset(difference(esk4_0,esk3_0),difference(esk4_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_8,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
subset(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( member(X1,X3)
| member(X1,difference(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( subset(difference(X1,X2),X3)
| ~ member(esk1_2(difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( member(X1,esk3_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
( subset(X1,difference(X2,X3))
| member(esk1_2(X1,difference(X2,X3)),X3)
| ~ member(esk1_2(X1,difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( subset(difference(X1,X2),X3)
| member(esk1_2(difference(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_9]) ).
cnf(c_0_19,negated_conjecture,
( subset(difference(X1,esk3_0),X2)
| ~ member(esk1_2(difference(X1,esk3_0),X2),esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( subset(difference(X1,X2),difference(X1,X3))
| member(esk1_2(difference(X1,X2),difference(X1,X3)),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
~ subset(difference(esk4_0,esk3_0),difference(esk4_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
subset(difference(X1,esk3_0),difference(X1,esk2_0)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET009+3 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 18:13:52 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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.C3kK6ckrqU/E---3.1_27510.p
% 0.17/0.45 # Version: 3.1pre001
% 0.17/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 27588 completed with status 0
% 0.17/0.45 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.17/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.45 # No SInE strategy applied
% 0.17/0.45 # Search class: FGHNF-FFSF22-SFFFFFNN
% 0.17/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.17/0.45 # Starting new_bool_3 with 136s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 136s (1) cores
% 0.17/0.45 # Starting sh5l with 136s (1) cores
% 0.17/0.45 # SAT001_MinMin_p005000_rr_RG with pid 27592 completed with status 0
% 0.17/0.45 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.45 # No SInE strategy applied
% 0.17/0.45 # Search class: FGHNF-FFSF22-SFFFFFNN
% 0.17/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.45 # Preprocessing time : 0.001 s
% 0.17/0.45 # Presaturation interreduction done
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Theorem
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 4
% 0.17/0.45 # Removed by relevancy pruning/SinE : 0
% 0.17/0.45 # Initial clauses : 9
% 0.17/0.45 # Removed in clause preprocessing : 0
% 0.17/0.45 # Initial clauses in saturation : 9
% 0.17/0.45 # Processed clauses : 95
% 0.17/0.45 # ...of these trivial : 0
% 0.17/0.45 # ...subsumed : 18
% 0.17/0.45 # ...remaining for further processing : 77
% 0.17/0.45 # Other redundant clauses eliminated : 0
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 2
% 0.17/0.45 # Backward-rewritten : 4
% 0.17/0.45 # Generated clauses : 281
% 0.17/0.45 # ...of the previous two non-redundant : 256
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 1
% 0.17/0.45 # Paramodulations : 281
% 0.17/0.45 # Factorizations : 0
% 0.17/0.45 # NegExts : 0
% 0.17/0.45 # Equation resolutions : 0
% 0.17/0.45 # Total rewrite steps : 23
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 62
% 0.17/0.45 # Positive orientable unit clauses : 22
% 0.17/0.45 # Positive unorientable unit clauses: 0
% 0.17/0.45 # Negative unit clauses : 1
% 0.17/0.45 # Non-unit-clauses : 39
% 0.17/0.45 # Current number of unprocessed clauses: 171
% 0.17/0.45 # ...number of literals in the above : 388
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 15
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 449
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 404
% 0.17/0.45 # Non-unit clause-clause subsumptions : 20
% 0.17/0.45 # Unit Clause-clause subsumption calls : 87
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 62
% 0.17/0.45 # BW rewrite match successes : 4
% 0.17/0.45 # Condensation attempts : 0
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 5272
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.006 s
% 0.17/0.45 # System time : 0.002 s
% 0.17/0.45 # Total time : 0.008 s
% 0.17/0.45 # Maximum resident set size: 1696 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.030 s
% 0.17/0.45 # System time : 0.007 s
% 0.17/0.45 # Total time : 0.037 s
% 0.17/0.45 # Maximum resident set size: 1680 pages
% 0.17/0.45 % E---3.1 exiting
% 0.17/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------