TSTP Solution File: SET596+3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET596+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 : Sat May 4 09:19:08 EDT 2024
% Result : Theorem 0.16s 0.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 59 ( 19 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 53 ( 22 ~; 16 |; 9 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 2 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th55,conjecture,
! [X1,X2,X3] :
( ( subset(X1,X2)
& intersection(X2,X3) = empty_set )
=> intersection(X1,X3) = empty_set ),
file('/export/starexec/sandbox/tmp/tmp.9r2KOXMlv1/E---3.1_12763.p',prove_th55) ).
fof(empty_set_defn,axiom,
! [X1] : ~ member(X1,empty_set),
file('/export/starexec/sandbox/tmp/tmp.9r2KOXMlv1/E---3.1_12763.p',empty_set_defn) ).
fof(intersection_of_subset,axiom,
! [X1,X2,X3] :
( subset(X1,X2)
=> subset(intersection(X1,X3),intersection(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.9r2KOXMlv1/E---3.1_12763.p',intersection_of_subset) ).
fof(subset_defn,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.9r2KOXMlv1/E---3.1_12763.p',subset_defn) ).
fof(equal_defn,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.9r2KOXMlv1/E---3.1_12763.p',equal_defn) ).
fof(commutativity_of_intersection,axiom,
! [X1,X2] : intersection(X1,X2) = intersection(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.9r2KOXMlv1/E---3.1_12763.p',commutativity_of_intersection) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X3] :
( ( subset(X1,X2)
& intersection(X2,X3) = empty_set )
=> intersection(X1,X3) = empty_set ),
inference(assume_negation,[status(cth)],[prove_th55]) ).
fof(c_0_7,plain,
! [X1] : ~ member(X1,empty_set),
inference(fof_simplification,[status(thm)],[empty_set_defn]) ).
fof(c_0_8,plain,
! [X9,X10,X11] :
( ~ subset(X9,X10)
| subset(intersection(X9,X11),intersection(X10,X11)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection_of_subset])])]) ).
fof(c_0_9,negated_conjecture,
( subset(esk1_0,esk2_0)
& intersection(esk2_0,esk3_0) = empty_set
& intersection(esk1_0,esk3_0) != empty_set ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_10,plain,
! [X8] : ~ member(X8,empty_set),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_7])]) ).
fof(c_0_11,plain,
! [X17,X18,X19,X20,X21] :
( ( ~ subset(X17,X18)
| ~ member(X19,X17)
| member(X19,X18) )
& ( member(esk4_2(X20,X21),X20)
| subset(X20,X21) )
& ( ~ member(esk4_2(X20,X21),X21)
| subset(X20,X21) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_12,plain,
! [X23,X24] :
( ( subset(X23,X24)
| X23 != X24 )
& ( subset(X24,X23)
| X23 != X24 )
& ( ~ subset(X23,X24)
| ~ subset(X24,X23)
| X23 = X24 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_defn])])])]) ).
cnf(c_0_13,plain,
( subset(intersection(X1,X3),intersection(X2,X3))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
intersection(esk2_0,esk3_0) = empty_set,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
~ member(X1,empty_set),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( member(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X15,X16] : intersection(X15,X16) = intersection(X16,X15),
inference(variable_rename,[status(thm)],[commutativity_of_intersection]) ).
cnf(c_0_18,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( subset(intersection(X1,esk3_0),empty_set)
| ~ subset(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
subset(empty_set,X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
intersection(esk1_0,esk3_0) != empty_set,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,plain,
intersection(X1,X2) = intersection(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( intersection(X1,esk3_0) = empty_set
| ~ subset(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_24,negated_conjecture,
intersection(esk3_0,esk1_0) != empty_set,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( intersection(esk3_0,X1) = empty_set
| ~ subset(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
subset(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET596+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n018.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 : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 10:32:46 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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.9r2KOXMlv1/E---3.1_12763.p
% 0.16/0.43 # Version: 3.1.0
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 # Starting sh5l with 300s (1) cores
% 0.16/0.43 # sh5l with pid 12844 completed with status 0
% 0.16/0.43 # Result found by sh5l
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 # Starting sh5l with 300s (1) cores
% 0.16/0.43 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.43 # Search class: FGHSS-FFSF21-SFFFFFNN
% 0.16/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.43 # SAT001_MinMin_p005000_rr_RG with pid 12847 completed with status 0
% 0.16/0.43 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 # Starting sh5l with 300s (1) cores
% 0.16/0.43 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.43 # Search class: FGHSS-FFSF21-SFFFFFNN
% 0.16/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.43 # Preprocessing time : 0.001 s
% 0.16/0.43 # Presaturation interreduction done
% 0.16/0.43
% 0.16/0.43 # Proof found!
% 0.16/0.43 # SZS status Theorem
% 0.16/0.43 # SZS output start CNFRefutation
% See solution above
% 0.16/0.43 # Parsed axioms : 11
% 0.16/0.43 # Removed by relevancy pruning/SinE : 0
% 0.16/0.43 # Initial clauses : 23
% 0.16/0.43 # Removed in clause preprocessing : 2
% 0.16/0.43 # Initial clauses in saturation : 21
% 0.16/0.43 # Processed clauses : 60
% 0.16/0.43 # ...of these trivial : 1
% 0.16/0.43 # ...subsumed : 6
% 0.16/0.43 # ...remaining for further processing : 53
% 0.16/0.43 # Other redundant clauses eliminated : 2
% 0.16/0.43 # Clauses deleted for lack of memory : 0
% 0.16/0.43 # Backward-subsumed : 0
% 0.16/0.43 # Backward-rewritten : 1
% 0.16/0.43 # Generated clauses : 68
% 0.16/0.43 # ...of the previous two non-redundant : 55
% 0.16/0.43 # ...aggressively subsumed : 0
% 0.16/0.43 # Contextual simplify-reflections : 0
% 0.16/0.43 # Paramodulations : 66
% 0.16/0.43 # Factorizations : 0
% 0.16/0.43 # NegExts : 0
% 0.16/0.43 # Equation resolutions : 2
% 0.16/0.43 # Disequality decompositions : 0
% 0.16/0.43 # Total rewrite steps : 14
% 0.16/0.43 # ...of those cached : 4
% 0.16/0.43 # Propositional unsat checks : 0
% 0.16/0.43 # Propositional check models : 0
% 0.16/0.43 # Propositional check unsatisfiable : 0
% 0.16/0.43 # Propositional clauses : 0
% 0.16/0.43 # Propositional clauses after purity: 0
% 0.16/0.43 # Propositional unsat core size : 0
% 0.16/0.43 # Propositional preprocessing time : 0.000
% 0.16/0.43 # Propositional encoding time : 0.000
% 0.16/0.43 # Propositional solver time : 0.000
% 0.16/0.43 # Success case prop preproc time : 0.000
% 0.16/0.43 # Success case prop encoding time : 0.000
% 0.16/0.43 # Success case prop solver time : 0.000
% 0.16/0.43 # Current number of processed clauses : 31
% 0.16/0.43 # Positive orientable unit clauses : 5
% 0.16/0.43 # Positive unorientable unit clauses: 1
% 0.16/0.43 # Negative unit clauses : 2
% 0.16/0.43 # Non-unit-clauses : 23
% 0.16/0.43 # Current number of unprocessed clauses: 29
% 0.16/0.43 # ...number of literals in the above : 71
% 0.16/0.43 # Current number of archived formulas : 0
% 0.16/0.43 # Current number of archived clauses : 20
% 0.16/0.43 # Clause-clause subsumption calls (NU) : 46
% 0.16/0.43 # Rec. Clause-clause subsumption calls : 40
% 0.16/0.43 # Non-unit clause-clause subsumptions : 3
% 0.16/0.43 # Unit Clause-clause subsumption calls : 0
% 0.16/0.43 # Rewrite failures with RHS unbound : 0
% 0.16/0.43 # BW rewrite match attempts : 14
% 0.16/0.43 # BW rewrite match successes : 10
% 0.16/0.43 # Condensation attempts : 0
% 0.16/0.43 # Condensation successes : 0
% 0.16/0.43 # Termbank termtop insertions : 1918
% 0.16/0.43 # Search garbage collected termcells : 360
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.006 s
% 0.16/0.43 # System time : 0.002 s
% 0.16/0.43 # Total time : 0.008 s
% 0.16/0.43 # Maximum resident set size: 1700 pages
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.007 s
% 0.16/0.43 # System time : 0.003 s
% 0.16/0.43 # Total time : 0.010 s
% 0.16/0.43 # Maximum resident set size: 1696 pages
% 0.16/0.43 % E---3.1 exiting
% 0.16/0.44 % E exiting
%------------------------------------------------------------------------------