TSTP Solution File: SEU248+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU248+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:31:09 EDT 2023
% Result : Theorem 0.15s 0.49s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 43 ( 19 ~; 14 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l29_wellord1,conjecture,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.3VN9t3HxY3/E---3.1_6069.p',l29_wellord1) ).
fof(t25_relat_1,lemma,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(X1,X2)
=> ( subset(relation_dom(X1),relation_dom(X2))
& subset(relation_rng(X1),relation_rng(X2)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.3VN9t3HxY3/E---3.1_6069.p',t25_relat_1) ).
fof(t117_relat_1,lemma,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng_restriction(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/tmp.3VN9t3HxY3/E---3.1_6069.p',t117_relat_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.3VN9t3HxY3/E---3.1_6069.p',dt_k8_relat_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
inference(assume_negation,[status(cth)],[l29_wellord1]) ).
fof(c_0_5,negated_conjecture,
( relation(esk2_0)
& ~ subset(relation_dom(relation_rng_restriction(esk1_0,esk2_0)),relation_dom(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,lemma,
! [X36,X37] :
( ( subset(relation_dom(X36),relation_dom(X37))
| ~ subset(X36,X37)
| ~ relation(X37)
| ~ relation(X36) )
& ( subset(relation_rng(X36),relation_rng(X37))
| ~ subset(X36,X37)
| ~ relation(X37)
| ~ relation(X36) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_relat_1])])])]) ).
cnf(c_0_7,negated_conjecture,
~ subset(relation_dom(relation_rng_restriction(esk1_0,esk2_0)),relation_dom(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,lemma,
( subset(relation_dom(X1),relation_dom(X2))
| ~ subset(X1,X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,lemma,
! [X58,X59] :
( ~ relation(X59)
| subset(relation_rng_restriction(X58,X59),X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t117_relat_1])]) ).
cnf(c_0_11,negated_conjecture,
( ~ subset(relation_rng_restriction(esk1_0,esk2_0),esk2_0)
| ~ relation(relation_rng_restriction(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_12,lemma,
( subset(relation_rng_restriction(X2,X1),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X49,X50] :
( ~ relation(X50)
| relation(relation_rng_restriction(X49,X50)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
cnf(c_0_14,lemma,
~ relation(relation_rng_restriction(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_9])]) ).
cnf(c_0_15,plain,
( relation(relation_rng_restriction(X2,X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEU248+2 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n019.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 08:54:51 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.43 Running first-order model finding
% 0.15/0.43 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.3VN9t3HxY3/E---3.1_6069.p
% 0.15/0.49 # Version: 3.1pre001
% 0.15/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.49 # Starting sh5l with 300s (1) cores
% 0.15/0.49 # new_bool_3 with pid 6147 completed with status 0
% 0.15/0.49 # Result found by new_bool_3
% 0.15/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.49 # Search class: FGHSM-FSLM31-SFFFFFNN
% 0.15/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.49 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 163s (1) cores
% 0.15/0.49 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 6151 completed with status 0
% 0.15/0.49 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.15/0.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.49 # Search class: FGHSM-FSLM31-SFFFFFNN
% 0.15/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.49 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 163s (1) cores
% 0.15/0.49 # Preprocessing time : 0.004 s
% 0.15/0.49
% 0.15/0.49 # Proof found!
% 0.15/0.49 # SZS status Theorem
% 0.15/0.49 # SZS output start CNFRefutation
% See solution above
% 0.15/0.49 # Parsed axioms : 306
% 0.15/0.49 # Removed by relevancy pruning/SinE : 201
% 0.15/0.49 # Initial clauses : 200
% 0.15/0.49 # Removed in clause preprocessing : 2
% 0.15/0.49 # Initial clauses in saturation : 198
% 0.15/0.49 # Processed clauses : 224
% 0.15/0.49 # ...of these trivial : 5
% 0.15/0.49 # ...subsumed : 17
% 0.15/0.49 # ...remaining for further processing : 202
% 0.15/0.49 # Other redundant clauses eliminated : 17
% 0.15/0.49 # Clauses deleted for lack of memory : 0
% 0.15/0.49 # Backward-subsumed : 1
% 0.15/0.49 # Backward-rewritten : 6
% 0.15/0.49 # Generated clauses : 1068
% 0.15/0.49 # ...of the previous two non-redundant : 951
% 0.15/0.49 # ...aggressively subsumed : 0
% 0.15/0.49 # Contextual simplify-reflections : 0
% 0.15/0.49 # Paramodulations : 1028
% 0.15/0.49 # Factorizations : 8
% 0.15/0.49 # NegExts : 0
% 0.15/0.49 # Equation resolutions : 32
% 0.15/0.49 # Total rewrite steps : 129
% 0.15/0.49 # Propositional unsat checks : 0
% 0.15/0.49 # Propositional check models : 0
% 0.15/0.49 # Propositional check unsatisfiable : 0
% 0.15/0.49 # Propositional clauses : 0
% 0.15/0.49 # Propositional clauses after purity: 0
% 0.15/0.49 # Propositional unsat core size : 0
% 0.15/0.49 # Propositional preprocessing time : 0.000
% 0.15/0.49 # Propositional encoding time : 0.000
% 0.15/0.49 # Propositional solver time : 0.000
% 0.15/0.49 # Success case prop preproc time : 0.000
% 0.15/0.49 # Success case prop encoding time : 0.000
% 0.15/0.49 # Success case prop solver time : 0.000
% 0.15/0.49 # Current number of processed clauses : 193
% 0.15/0.49 # Positive orientable unit clauses : 32
% 0.15/0.49 # Positive unorientable unit clauses: 1
% 0.15/0.49 # Negative unit clauses : 8
% 0.15/0.49 # Non-unit-clauses : 152
% 0.15/0.49 # Current number of unprocessed clauses: 922
% 0.15/0.49 # ...number of literals in the above : 4110
% 0.15/0.49 # Current number of archived formulas : 0
% 0.15/0.49 # Current number of archived clauses : 7
% 0.15/0.49 # Clause-clause subsumption calls (NU) : 6898
% 0.15/0.49 # Rec. Clause-clause subsumption calls : 1921
% 0.15/0.49 # Non-unit clause-clause subsumptions : 16
% 0.15/0.49 # Unit Clause-clause subsumption calls : 1020
% 0.15/0.49 # Rewrite failures with RHS unbound : 0
% 0.15/0.49 # BW rewrite match attempts : 8
% 0.15/0.49 # BW rewrite match successes : 6
% 0.15/0.49 # Condensation attempts : 0
% 0.15/0.49 # Condensation successes : 0
% 0.15/0.49 # Termbank termtop insertions : 29477
% 0.15/0.49
% 0.15/0.49 # -------------------------------------------------
% 0.15/0.49 # User time : 0.041 s
% 0.15/0.49 # System time : 0.007 s
% 0.15/0.49 # Total time : 0.049 s
% 0.15/0.49 # Maximum resident set size: 2588 pages
% 0.15/0.49
% 0.15/0.49 # -------------------------------------------------
% 0.15/0.49 # User time : 0.049 s
% 0.15/0.49 # System time : 0.009 s
% 0.15/0.49 # Total time : 0.057 s
% 0.15/0.49 # Maximum resident set size: 2008 pages
% 0.15/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------