TSTP Solution File: SET800+4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET800+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 19:20:54 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 95 ( 29 ~; 30 |; 24 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 62 ( 3 sgn; 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV12,conjecture,
! [X6,X4] :
( order(X6,X4)
=> ! [X9,X10] :
( ( subset(X9,X4)
& subset(X10,X4)
& subset(X9,X10) )
=> ! [X11,X12] :
( ( greatest_lower_bound(X11,X9,X6,X4)
& greatest_lower_bound(X12,X10,X6,X4) )
=> apply(X6,X12,X11) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eqBlVOA5Kd/E---3.1_29349.p',thIV12) ).
fof(greatest_lower_bound,axiom,
! [X1,X3,X6,X4] :
( greatest_lower_bound(X1,X3,X6,X4)
<=> ( member(X1,X3)
& lower_bound(X1,X6,X3)
& ! [X8] :
( ( member(X8,X4)
& lower_bound(X8,X6,X3) )
=> apply(X6,X8,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eqBlVOA5Kd/E---3.1_29349.p',greatest_lower_bound) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eqBlVOA5Kd/E---3.1_29349.p',subset) ).
fof(lower_bound,axiom,
! [X6,X4,X8] :
( lower_bound(X8,X6,X4)
<=> ! [X3] :
( member(X3,X4)
=> apply(X6,X8,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eqBlVOA5Kd/E---3.1_29349.p',lower_bound) ).
fof(c_0_4,negated_conjecture,
~ ! [X6,X4] :
( order(X6,X4)
=> ! [X9,X10] :
( ( subset(X9,X4)
& subset(X10,X4)
& subset(X9,X10) )
=> ! [X11,X12] :
( ( greatest_lower_bound(X11,X9,X6,X4)
& greatest_lower_bound(X12,X10,X6,X4) )
=> apply(X6,X12,X11) ) ) ),
inference(assume_negation,[status(cth)],[thIV12]) ).
fof(c_0_5,plain,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( member(X19,X20)
| ~ greatest_lower_bound(X19,X20,X21,X22) )
& ( lower_bound(X19,X21,X20)
| ~ greatest_lower_bound(X19,X20,X21,X22) )
& ( ~ member(X23,X22)
| ~ lower_bound(X23,X21,X20)
| apply(X21,X23,X19)
| ~ greatest_lower_bound(X19,X20,X21,X22) )
& ( member(esk7_4(X24,X25,X26,X27),X27)
| ~ member(X24,X25)
| ~ lower_bound(X24,X26,X25)
| greatest_lower_bound(X24,X25,X26,X27) )
& ( lower_bound(esk7_4(X24,X25,X26,X27),X26,X25)
| ~ member(X24,X25)
| ~ lower_bound(X24,X26,X25)
| greatest_lower_bound(X24,X25,X26,X27) )
& ( ~ apply(X26,esk7_4(X24,X25,X26,X27),X24)
| ~ member(X24,X25)
| ~ lower_bound(X24,X26,X25)
| greatest_lower_bound(X24,X25,X26,X27) ) ),
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)],[greatest_lower_bound])])])])])]) ).
fof(c_0_6,negated_conjecture,
( order(esk1_0,esk2_0)
& subset(esk3_0,esk2_0)
& subset(esk4_0,esk2_0)
& subset(esk3_0,esk4_0)
& greatest_lower_bound(esk5_0,esk3_0,esk1_0,esk2_0)
& greatest_lower_bound(esk6_0,esk4_0,esk1_0,esk2_0)
& ~ apply(esk1_0,esk6_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X29,X30,X31,X32,X33] :
( ( ~ subset(X29,X30)
| ~ member(X31,X29)
| member(X31,X30) )
& ( member(esk8_2(X32,X33),X32)
| subset(X32,X33) )
& ( ~ member(esk8_2(X32,X33),X33)
| subset(X32,X33) ) ),
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])])])])])]) ).
cnf(c_0_8,plain,
( member(X1,X2)
| ~ greatest_lower_bound(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
greatest_lower_bound(esk5_0,esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X37,X38,X39,X40,X41,X42,X43] :
( ( ~ lower_bound(X39,X37,X38)
| ~ member(X40,X38)
| apply(X37,X39,X40) )
& ( member(esk9_3(X41,X42,X43),X42)
| lower_bound(X43,X41,X42) )
& ( ~ apply(X41,X43,esk9_3(X41,X42,X43))
| lower_bound(X43,X41,X42) ) ),
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)],[lower_bound])])])])])]) ).
cnf(c_0_11,plain,
( lower_bound(X1,X2,X3)
| ~ greatest_lower_bound(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
greatest_lower_bound(esk6_0,esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
member(esk5_0,esk3_0),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,plain,
( apply(X2,X1,X4)
| ~ lower_bound(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
lower_bound(esk6_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( member(esk5_0,X1)
| ~ subset(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
subset(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
~ apply(esk1_0,esk6_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( apply(esk1_0,esk6_0,X1)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
member(esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SET800+4 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 16:31:30 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 Running first-order theorem proving
% 0.21/0.51 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.eqBlVOA5Kd/E---3.1_29349.p
% 0.21/0.53 # Version: 3.1pre001
% 0.21/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # new_bool_1 with pid 29429 completed with status 0
% 0.21/0.53 # Result found by new_bool_1
% 0.21/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.53 # Search class: FGUSF-FFLM32-SFFFFFNN
% 0.21/0.53 # partial match(1): FGUSF-FFMM32-SFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.21/0.53 # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 29432 completed with status 0
% 0.21/0.53 # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.53 # Search class: FGUSF-FFLM32-SFFFFFNN
% 0.21/0.53 # partial match(1): FGUSF-FFMM32-SFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.21/0.53 # Preprocessing time : 0.002 s
% 0.21/0.53 # Presaturation interreduction done
% 0.21/0.53
% 0.21/0.53 # Proof found!
% 0.21/0.53 # SZS status Theorem
% 0.21/0.53 # SZS output start CNFRefutation
% See solution above
% 0.21/0.53 # Parsed axioms : 22
% 0.21/0.53 # Removed by relevancy pruning/SinE : 17
% 0.21/0.53 # Initial clauses : 84
% 0.21/0.53 # Removed in clause preprocessing : 0
% 0.21/0.53 # Initial clauses in saturation : 84
% 0.21/0.53 # Processed clauses : 125
% 0.21/0.53 # ...of these trivial : 0
% 0.21/0.53 # ...subsumed : 0
% 0.21/0.53 # ...remaining for further processing : 125
% 0.21/0.53 # Other redundant clauses eliminated : 0
% 0.21/0.53 # Clauses deleted for lack of memory : 0
% 0.21/0.53 # Backward-subsumed : 0
% 0.21/0.53 # Backward-rewritten : 0
% 0.21/0.53 # Generated clauses : 38
% 0.21/0.53 # ...of the previous two non-redundant : 33
% 0.21/0.53 # ...aggressively subsumed : 0
% 0.21/0.53 # Contextual simplify-reflections : 0
% 0.21/0.53 # Paramodulations : 38
% 0.21/0.53 # Factorizations : 0
% 0.21/0.53 # NegExts : 0
% 0.21/0.53 # Equation resolutions : 0
% 0.21/0.53 # Total rewrite steps : 2
% 0.21/0.53 # Propositional unsat checks : 0
% 0.21/0.53 # Propositional check models : 0
% 0.21/0.53 # Propositional check unsatisfiable : 0
% 0.21/0.53 # Propositional clauses : 0
% 0.21/0.53 # Propositional clauses after purity: 0
% 0.21/0.53 # Propositional unsat core size : 0
% 0.21/0.53 # Propositional preprocessing time : 0.000
% 0.21/0.53 # Propositional encoding time : 0.000
% 0.21/0.53 # Propositional solver time : 0.000
% 0.21/0.53 # Success case prop preproc time : 0.000
% 0.21/0.53 # Success case prop encoding time : 0.000
% 0.21/0.53 # Success case prop solver time : 0.000
% 0.21/0.53 # Current number of processed clauses : 41
% 0.21/0.53 # Positive orientable unit clauses : 14
% 0.21/0.53 # Positive unorientable unit clauses: 0
% 0.21/0.53 # Negative unit clauses : 1
% 0.21/0.53 # Non-unit-clauses : 26
% 0.21/0.53 # Current number of unprocessed clauses: 74
% 0.21/0.53 # ...number of literals in the above : 275
% 0.21/0.53 # Current number of archived formulas : 0
% 0.21/0.53 # Current number of archived clauses : 84
% 0.21/0.53 # Clause-clause subsumption calls (NU) : 1657
% 0.21/0.53 # Rec. Clause-clause subsumption calls : 715
% 0.21/0.53 # Non-unit clause-clause subsumptions : 0
% 0.21/0.53 # Unit Clause-clause subsumption calls : 32
% 0.21/0.53 # Rewrite failures with RHS unbound : 0
% 0.21/0.53 # BW rewrite match attempts : 0
% 0.21/0.53 # BW rewrite match successes : 0
% 0.21/0.53 # Condensation attempts : 0
% 0.21/0.53 # Condensation successes : 0
% 0.21/0.53 # Termbank termtop insertions : 5785
% 0.21/0.53
% 0.21/0.53 # -------------------------------------------------
% 0.21/0.53 # User time : 0.014 s
% 0.21/0.53 # System time : 0.001 s
% 0.21/0.53 # Total time : 0.015 s
% 0.21/0.53 # Maximum resident set size: 2068 pages
% 0.21/0.53
% 0.21/0.53 # -------------------------------------------------
% 0.21/0.53 # User time : 0.015 s
% 0.21/0.53 # System time : 0.004 s
% 0.21/0.53 # Total time : 0.019 s
% 0.21/0.53 # Maximum resident set size: 1712 pages
% 0.21/0.53 % E---3.1 exiting
% 0.21/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------