TSTP Solution File: SET689+4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET689+4 : 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:20:16 EDT 2023
% Result : Theorem 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 54 ( 19 ~; 18 |; 12 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI05,conjecture,
! [X1,X2,X6] :
( ( subset(X1,X2)
& subset(X2,X6)
& subset(X6,X1) )
=> equal_set(X1,X6) ),
file('/export/starexec/sandbox/tmp/tmp.xO7JipXa5p/E---3.1_7711.p',thI05) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.xO7JipXa5p/E---3.1_7711.p',subset) ).
fof(equal_set,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.xO7JipXa5p/E---3.1_7711.p',equal_set) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X6] :
( ( subset(X1,X2)
& subset(X2,X6)
& subset(X6,X1) )
=> equal_set(X1,X6) ),
inference(assume_negation,[status(cth)],[thI05]) ).
fof(c_0_4,plain,
! [X12,X13,X14,X15,X16] :
( ( ~ subset(X12,X13)
| ~ member(X14,X12)
| member(X14,X13) )
& ( member(esk4_2(X15,X16),X15)
| subset(X15,X16) )
& ( ~ member(esk4_2(X15,X16),X16)
| subset(X15,X16) ) ),
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])])])])])]) ).
fof(c_0_5,negated_conjecture,
( subset(esk1_0,esk2_0)
& subset(esk2_0,esk3_0)
& subset(esk3_0,esk1_0)
& ~ equal_set(esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
subset(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
subset(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( member(X1,esk3_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
fof(c_0_11,plain,
! [X10,X11] :
( ( subset(X10,X11)
| ~ equal_set(X10,X11) )
& ( subset(X11,X10)
| ~ equal_set(X10,X11) )
& ( ~ subset(X10,X11)
| ~ subset(X11,X10)
| equal_set(X10,X11) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])]) ).
cnf(c_0_12,negated_conjecture,
( member(X1,esk3_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( member(esk4_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
~ equal_set(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( equal_set(X1,X2)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
subset(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,plain,
( subset(X1,X2)
| ~ member(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,negated_conjecture,
( member(esk4_2(esk1_0,X1),esk3_0)
| subset(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
~ subset(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET689+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 16:47:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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.xO7JipXa5p/E---3.1_7711.p
% 0.21/0.51 # Version: 3.1pre001
% 0.21/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51 # Starting sh5l with 300s (1) cores
% 0.21/0.51 # new_bool_3 with pid 7790 completed with status 0
% 0.21/0.51 # Result found by new_bool_3
% 0.21/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51 # Search class: FGUNF-FFSS22-SFFFFFNN
% 0.21/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.51 # SAT001_MinMin_p005000_rr_RG with pid 7794 completed with status 0
% 0.21/0.51 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51 # Search class: FGUNF-FFSS22-SFFFFFNN
% 0.21/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.51 # Preprocessing time : 0.001 s
% 0.21/0.51 # Presaturation interreduction done
% 0.21/0.51
% 0.21/0.51 # Proof found!
% 0.21/0.51 # SZS status Theorem
% 0.21/0.51 # SZS output start CNFRefutation
% See solution above
% 0.21/0.51 # Parsed axioms : 12
% 0.21/0.51 # Removed by relevancy pruning/SinE : 9
% 0.21/0.51 # Initial clauses : 10
% 0.21/0.51 # Removed in clause preprocessing : 0
% 0.21/0.51 # Initial clauses in saturation : 10
% 0.21/0.51 # Processed clauses : 37
% 0.21/0.51 # ...of these trivial : 0
% 0.21/0.51 # ...subsumed : 2
% 0.21/0.51 # ...remaining for further processing : 35
% 0.21/0.51 # Other redundant clauses eliminated : 0
% 0.21/0.51 # Clauses deleted for lack of memory : 0
% 0.21/0.51 # Backward-subsumed : 0
% 0.21/0.51 # Backward-rewritten : 0
% 0.21/0.51 # Generated clauses : 31
% 0.21/0.51 # ...of the previous two non-redundant : 18
% 0.21/0.51 # ...aggressively subsumed : 0
% 0.21/0.51 # Contextual simplify-reflections : 0
% 0.21/0.51 # Paramodulations : 31
% 0.21/0.51 # Factorizations : 0
% 0.21/0.51 # NegExts : 0
% 0.21/0.51 # Equation resolutions : 0
% 0.21/0.51 # Total rewrite steps : 5
% 0.21/0.51 # Propositional unsat checks : 0
% 0.21/0.51 # Propositional check models : 0
% 0.21/0.51 # Propositional check unsatisfiable : 0
% 0.21/0.51 # Propositional clauses : 0
% 0.21/0.51 # Propositional clauses after purity: 0
% 0.21/0.51 # Propositional unsat core size : 0
% 0.21/0.51 # Propositional preprocessing time : 0.000
% 0.21/0.51 # Propositional encoding time : 0.000
% 0.21/0.51 # Propositional solver time : 0.000
% 0.21/0.51 # Success case prop preproc time : 0.000
% 0.21/0.51 # Success case prop encoding time : 0.000
% 0.21/0.51 # Success case prop solver time : 0.000
% 0.21/0.51 # Current number of processed clauses : 25
% 0.21/0.51 # Positive orientable unit clauses : 6
% 0.21/0.51 # Positive unorientable unit clauses: 0
% 0.21/0.51 # Negative unit clauses : 2
% 0.21/0.51 # Non-unit-clauses : 17
% 0.21/0.51 # Current number of unprocessed clauses: 1
% 0.21/0.51 # ...number of literals in the above : 2
% 0.21/0.51 # Current number of archived formulas : 0
% 0.21/0.51 # Current number of archived clauses : 10
% 0.21/0.51 # Clause-clause subsumption calls (NU) : 21
% 0.21/0.51 # Rec. Clause-clause subsumption calls : 21
% 0.21/0.51 # Non-unit clause-clause subsumptions : 2
% 0.21/0.51 # Unit Clause-clause subsumption calls : 5
% 0.21/0.51 # Rewrite failures with RHS unbound : 0
% 0.21/0.51 # BW rewrite match attempts : 7
% 0.21/0.51 # BW rewrite match successes : 0
% 0.21/0.51 # Condensation attempts : 0
% 0.21/0.51 # Condensation successes : 0
% 0.21/0.51 # Termbank termtop insertions : 916
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.005 s
% 0.21/0.51 # System time : 0.002 s
% 0.21/0.51 # Total time : 0.007 s
% 0.21/0.51 # Maximum resident set size: 1756 pages
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.006 s
% 0.21/0.51 # System time : 0.004 s
% 0.21/0.51 # Total time : 0.010 s
% 0.21/0.51 # Maximum resident set size: 1688 pages
% 0.21/0.51 % E---3.1 exiting
% 0.21/0.51 % E---3.1 exiting
%------------------------------------------------------------------------------