TSTP Solution File: SEU189+2 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU189+2 : TPTP v8.1.2. Released v3.3.0.
% 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 19:25:10 EDT 2023
% Result : Theorem 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 42 ( 32 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 37 ( 13 ~; 14 |; 4 &)
% ( 2 <=>; 4 =>; 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 : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn; 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t65_relat_1,conjecture,
! [X1] :
( relation(X1)
=> ( relation_dom(X1) = empty_set
<=> relation_rng(X1) = empty_set ) ),
file('/export/starexec/sandbox/tmp/tmp.ausxzmYfhG/E---3.1_14649.p',t65_relat_1) ).
fof(t64_relat_1,lemma,
! [X1] :
( relation(X1)
=> ( ( relation_dom(X1) = empty_set
| relation_rng(X1) = empty_set )
=> X1 = empty_set ) ),
file('/export/starexec/sandbox/tmp/tmp.ausxzmYfhG/E---3.1_14649.p',t64_relat_1) ).
fof(t60_relat_1,lemma,
( relation_dom(empty_set) = empty_set
& relation_rng(empty_set) = empty_set ),
file('/export/starexec/sandbox/tmp/tmp.ausxzmYfhG/E---3.1_14649.p',t60_relat_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( relation_dom(X1) = empty_set
<=> relation_rng(X1) = empty_set ) ),
inference(assume_negation,[status(cth)],[t65_relat_1]) ).
fof(c_0_4,lemma,
! [X37] :
( ( relation_dom(X37) != empty_set
| X37 = empty_set
| ~ relation(X37) )
& ( relation_rng(X37) != empty_set
| X37 = empty_set
| ~ relation(X37) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_relat_1])])]) ).
fof(c_0_5,negated_conjecture,
( relation(esk1_0)
& ( relation_dom(esk1_0) != empty_set
| relation_rng(esk1_0) != empty_set )
& ( relation_dom(esk1_0) = empty_set
| relation_rng(esk1_0) = empty_set ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,lemma,
( X1 = empty_set
| relation_rng(X1) != empty_set
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( relation_dom(esk1_0) = empty_set
| relation_rng(esk1_0) = empty_set ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,lemma,
( X1 = empty_set
| relation_dom(X1) != empty_set
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( relation_dom(esk1_0) = empty_set
| empty_set = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_11,lemma,
relation_dom(empty_set) = empty_set,
inference(split_conjunct,[status(thm)],[t60_relat_1]) ).
cnf(c_0_12,lemma,
empty_set = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_8])]) ).
cnf(c_0_13,lemma,
relation_rng(empty_set) = empty_set,
inference(split_conjunct,[status(thm)],[t60_relat_1]) ).
cnf(c_0_14,negated_conjecture,
( relation_dom(esk1_0) != empty_set
| relation_rng(esk1_0) != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,lemma,
relation_dom(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_16,lemma,
relation_rng(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_12]),c_0_12]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_12]),c_0_12]),c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU189+2 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n023.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 : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 08:57:07 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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.ausxzmYfhG/E---3.1_14649.p
% 0.15/0.45 # Version: 3.1pre001
% 0.15/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 # Starting sh5l with 300s (1) cores
% 0.15/0.45 # new_bool_3 with pid 14728 completed with status 0
% 0.15/0.45 # Result found by new_bool_3
% 0.15/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.45 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.15/0.45 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.45 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.15/0.45 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 14732 completed with status 0
% 0.15/0.45 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.45 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.15/0.45 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.45 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.15/0.45 # Preprocessing time : 0.002 s
% 0.15/0.45 # Presaturation interreduction done
% 0.15/0.45
% 0.15/0.45 # Proof found!
% 0.15/0.45 # SZS status Theorem
% 0.15/0.45 # SZS output start CNFRefutation
% See solution above
% 0.15/0.45 # Parsed axioms : 171
% 0.15/0.45 # Removed by relevancy pruning/SinE : 90
% 0.15/0.45 # Initial clauses : 139
% 0.15/0.45 # Removed in clause preprocessing : 0
% 0.15/0.45 # Initial clauses in saturation : 139
% 0.15/0.45 # Processed clauses : 188
% 0.15/0.45 # ...of these trivial : 1
% 0.15/0.45 # ...subsumed : 12
% 0.15/0.45 # ...remaining for further processing : 174
% 0.15/0.45 # Other redundant clauses eliminated : 22
% 0.15/0.45 # Clauses deleted for lack of memory : 0
% 0.15/0.45 # Backward-subsumed : 0
% 0.15/0.45 # Backward-rewritten : 13
% 0.15/0.45 # Generated clauses : 25
% 0.15/0.45 # ...of the previous two non-redundant : 29
% 0.15/0.45 # ...aggressively subsumed : 0
% 0.15/0.45 # Contextual simplify-reflections : 0
% 0.15/0.45 # Paramodulations : 4
% 0.15/0.45 # Factorizations : 0
% 0.15/0.45 # NegExts : 0
% 0.15/0.45 # Equation resolutions : 22
% 0.15/0.45 # Total rewrite steps : 36
% 0.15/0.45 # Propositional unsat checks : 0
% 0.15/0.45 # Propositional check models : 0
% 0.15/0.45 # Propositional check unsatisfiable : 0
% 0.15/0.45 # Propositional clauses : 0
% 0.15/0.45 # Propositional clauses after purity: 0
% 0.15/0.45 # Propositional unsat core size : 0
% 0.15/0.45 # Propositional preprocessing time : 0.000
% 0.15/0.45 # Propositional encoding time : 0.000
% 0.15/0.45 # Propositional solver time : 0.000
% 0.15/0.45 # Success case prop preproc time : 0.000
% 0.15/0.45 # Success case prop encoding time : 0.000
% 0.15/0.45 # Success case prop solver time : 0.000
% 0.15/0.45 # Current number of processed clauses : 19
% 0.15/0.45 # Positive orientable unit clauses : 10
% 0.15/0.45 # Positive unorientable unit clauses: 0
% 0.15/0.45 # Negative unit clauses : 7
% 0.15/0.45 # Non-unit-clauses : 2
% 0.15/0.45 # Current number of unprocessed clauses: 101
% 0.15/0.45 # ...number of literals in the above : 238
% 0.15/0.45 # Current number of archived formulas : 0
% 0.15/0.45 # Current number of archived clauses : 134
% 0.15/0.45 # Clause-clause subsumption calls (NU) : 885
% 0.15/0.45 # Rec. Clause-clause subsumption calls : 645
% 0.15/0.45 # Non-unit clause-clause subsumptions : 11
% 0.15/0.45 # Unit Clause-clause subsumption calls : 31
% 0.15/0.45 # Rewrite failures with RHS unbound : 0
% 0.15/0.45 # BW rewrite match attempts : 13
% 0.15/0.45 # BW rewrite match successes : 9
% 0.15/0.45 # Condensation attempts : 0
% 0.15/0.45 # Condensation successes : 0
% 0.15/0.45 # Termbank termtop insertions : 8483
% 0.15/0.45
% 0.15/0.45 # -------------------------------------------------
% 0.15/0.45 # User time : 0.015 s
% 0.15/0.45 # System time : 0.001 s
% 0.15/0.45 # Total time : 0.016 s
% 0.15/0.45 # Maximum resident set size: 2204 pages
% 0.15/0.45
% 0.15/0.45 # -------------------------------------------------
% 0.15/0.45 # User time : 0.018 s
% 0.15/0.45 # System time : 0.004 s
% 0.15/0.45 # Total time : 0.022 s
% 0.15/0.45 # Maximum resident set size: 1840 pages
% 0.15/0.45 % E---3.1 exiting
% 0.15/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------