TSTP Solution File: SET604+3 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 19:23:05 EDT 2023
% Result : Theorem 0.16s 0.41s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 1 sgn; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_no_difference_with_empty_set,conjecture,
! [X1] : difference(empty_set,X1) = empty_set,
file('/export/starexec/sandbox2/tmp/tmp.SUlSgvnapH/E---3.1_9089.p',prove_no_difference_with_empty_set) ).
fof(difference_empty_set,axiom,
! [X1,X2] :
( difference(X1,X2) = empty_set
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.SUlSgvnapH/E---3.1_9089.p',difference_empty_set) ).
fof(empty_set_subset,axiom,
! [X1] : subset(empty_set,X1),
file('/export/starexec/sandbox2/tmp/tmp.SUlSgvnapH/E---3.1_9089.p',empty_set_subset) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] : difference(empty_set,X1) = empty_set,
inference(assume_negation,[status(cth)],[prove_no_difference_with_empty_set]) ).
fof(c_0_4,negated_conjecture,
difference(empty_set,esk3_0) != empty_set,
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X5,X6] :
( ( difference(X5,X6) != empty_set
| subset(X5,X6) )
& ( ~ subset(X5,X6)
| difference(X5,X6) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[difference_empty_set])]) ).
fof(c_0_6,plain,
! [X4] : subset(empty_set,X4),
inference(variable_rename,[status(thm)],[empty_set_subset]) ).
cnf(c_0_7,negated_conjecture,
difference(empty_set,esk3_0) != empty_set,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
subset(empty_set,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n026.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 17:27:44 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.16/0.40 Running first-order model finding
% 0.16/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.SUlSgvnapH/E---3.1_9089.p
% 0.16/0.41 # Version: 3.1pre001
% 0.16/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.41 # Starting sh5l with 300s (1) cores
% 0.16/0.41 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 9197 completed with status 0
% 0.16/0.41 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.41 # No SInE strategy applied
% 0.16/0.41 # Search class: FGHSS-FFSF21-SFFFFFNN
% 0.16/0.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.41 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.41 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.41 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.41 # Starting sh5l with 136s (1) cores
% 0.16/0.41 # SAT001_MinMin_p005000_rr_RG with pid 9201 completed with status 0
% 0.16/0.41 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.41 # No SInE strategy applied
% 0.16/0.41 # Search class: FGHSS-FFSF21-SFFFFFNN
% 0.16/0.41 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.41 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.41 # Preprocessing time : 0.001 s
% 0.16/0.41 # Presaturation interreduction done
% 0.16/0.41
% 0.16/0.41 # Proof found!
% 0.16/0.41 # SZS status Theorem
% 0.16/0.41 # SZS output start CNFRefutation
% See solution above
% 0.16/0.41 # Parsed axioms : 9
% 0.16/0.41 # Removed by relevancy pruning/SinE : 0
% 0.16/0.41 # Initial clauses : 17
% 0.16/0.41 # Removed in clause preprocessing : 0
% 0.16/0.41 # Initial clauses in saturation : 17
% 0.16/0.41 # Processed clauses : 23
% 0.16/0.41 # ...of these trivial : 0
% 0.16/0.41 # ...subsumed : 0
% 0.16/0.41 # ...remaining for further processing : 23
% 0.16/0.41 # Other redundant clauses eliminated : 2
% 0.16/0.41 # Clauses deleted for lack of memory : 0
% 0.16/0.41 # Backward-subsumed : 0
% 0.16/0.41 # Backward-rewritten : 0
% 0.16/0.41 # Generated clauses : 3
% 0.16/0.41 # ...of the previous two non-redundant : 0
% 0.16/0.41 # ...aggressively subsumed : 0
% 0.16/0.41 # Contextual simplify-reflections : 0
% 0.16/0.41 # Paramodulations : 1
% 0.16/0.41 # Factorizations : 0
% 0.16/0.41 # NegExts : 0
% 0.16/0.41 # Equation resolutions : 2
% 0.16/0.41 # Total rewrite steps : 3
% 0.16/0.41 # Propositional unsat checks : 0
% 0.16/0.41 # Propositional check models : 0
% 0.16/0.41 # Propositional check unsatisfiable : 0
% 0.16/0.41 # Propositional clauses : 0
% 0.16/0.41 # Propositional clauses after purity: 0
% 0.16/0.41 # Propositional unsat core size : 0
% 0.16/0.41 # Propositional preprocessing time : 0.000
% 0.16/0.41 # Propositional encoding time : 0.000
% 0.16/0.41 # Propositional solver time : 0.000
% 0.16/0.41 # Success case prop preproc time : 0.000
% 0.16/0.41 # Success case prop encoding time : 0.000
% 0.16/0.41 # Success case prop solver time : 0.000
% 0.16/0.41 # Current number of processed clauses : 6
% 0.16/0.41 # Positive orientable unit clauses : 2
% 0.16/0.41 # Positive unorientable unit clauses: 0
% 0.16/0.41 # Negative unit clauses : 2
% 0.16/0.41 # Non-unit-clauses : 2
% 0.16/0.41 # Current number of unprocessed clauses: 9
% 0.16/0.41 # ...number of literals in the above : 21
% 0.16/0.41 # Current number of archived formulas : 0
% 0.16/0.41 # Current number of archived clauses : 15
% 0.16/0.41 # Clause-clause subsumption calls (NU) : 4
% 0.16/0.41 # Rec. Clause-clause subsumption calls : 4
% 0.16/0.41 # Non-unit clause-clause subsumptions : 0
% 0.16/0.41 # Unit Clause-clause subsumption calls : 0
% 0.16/0.41 # Rewrite failures with RHS unbound : 0
% 0.16/0.41 # BW rewrite match attempts : 2
% 0.16/0.41 # BW rewrite match successes : 0
% 0.16/0.41 # Condensation attempts : 0
% 0.16/0.41 # Condensation successes : 0
% 0.16/0.41 # Termbank termtop insertions : 786
% 0.16/0.41
% 0.16/0.41 # -------------------------------------------------
% 0.16/0.41 # User time : 0.002 s
% 0.16/0.41 # System time : 0.003 s
% 0.16/0.41 # Total time : 0.006 s
% 0.16/0.41 # Maximum resident set size: 1732 pages
% 0.16/0.41
% 0.16/0.41 # -------------------------------------------------
% 0.16/0.41 # User time : 0.010 s
% 0.16/0.41 # System time : 0.007 s
% 0.16/0.41 # Total time : 0.017 s
% 0.16/0.41 # Maximum resident set size: 1676 pages
% 0.16/0.41 % E---3.1 exiting
%------------------------------------------------------------------------------