TSTP Solution File: SEU303+2 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SEU303+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:31:16 EDT 2024
% Result : Theorem 0.68s 0.87s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 36 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 11 ~; 8 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_finset_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(relation_dom(X1))
=> finite(relation_rng(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.flBQdAEQTx/E---3.1_20984.p',t26_finset_1) ).
fof(t146_relat_1,lemma,
! [X1] :
( relation(X1)
=> relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
file('/export/starexec/sandbox/tmp/tmp.flBQdAEQTx/E---3.1_20984.p',t146_relat_1) ).
fof(fc13_finset_1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& finite(X2) )
=> finite(relation_image(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.flBQdAEQTx/E---3.1_20984.p',fc13_finset_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(relation_dom(X1))
=> finite(relation_rng(X1)) ) ),
inference(assume_negation,[status(cth)],[t26_finset_1]) ).
fof(c_0_4,lemma,
! [X327] :
( ~ relation(X327)
| relation_image(X327,relation_dom(X327)) = relation_rng(X327) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t146_relat_1])])]) ).
fof(c_0_5,negated_conjecture,
( relation(esk1_0)
& function(esk1_0)
& finite(relation_dom(esk1_0))
& ~ finite(relation_rng(esk1_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_6,plain,
! [X31,X32] :
( ~ relation(X31)
| ~ function(X31)
| ~ finite(X32)
| finite(relation_image(X31,X32)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_finset_1])])]) ).
cnf(c_0_7,lemma,
( relation_image(X1,relation_dom(X1)) = relation_rng(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( finite(relation_image(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
relation_image(esk1_0,relation_dom(esk1_0)) = relation_rng(esk1_0),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
function(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
finite(relation_dom(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
~ finite(relation_rng(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_8]),c_0_11]),c_0_12])]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU303+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 07:53:05 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.51 Running first-order model finding
% 0.20/0.51 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.flBQdAEQTx/E---3.1_20984.p
% 0.68/0.87 # Version: 3.1.0
% 0.68/0.87 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.68/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.87 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.68/0.87 # Starting new_bool_3 with 300s (1) cores
% 0.68/0.87 # Starting new_bool_1 with 300s (1) cores
% 0.68/0.87 # Starting sh5l with 300s (1) cores
% 0.68/0.87 # new_bool_1 with pid 21064 completed with status 0
% 0.68/0.87 # Result found by new_bool_1
% 0.68/0.87 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.68/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.87 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.68/0.87 # Starting new_bool_3 with 300s (1) cores
% 0.68/0.87 # Starting new_bool_1 with 300s (1) cores
% 0.68/0.87 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.68/0.87 # Search class: FGHSM-SMLM32-MFFFFFNN
% 0.68/0.87 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.68/0.87 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 0.68/0.87 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 21067 completed with status 0
% 0.68/0.87 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.68/0.87 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.68/0.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.87 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.68/0.87 # Starting new_bool_3 with 300s (1) cores
% 0.68/0.87 # Starting new_bool_1 with 300s (1) cores
% 0.68/0.87 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.68/0.87 # Search class: FGHSM-SMLM32-MFFFFFNN
% 0.68/0.87 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.68/0.87 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 23s (1) cores
% 0.68/0.87 # Preprocessing time : 0.017 s
% 0.68/0.87 # Presaturation interreduction done
% 0.68/0.87
% 0.68/0.87 # Proof found!
% 0.68/0.87 # SZS status Theorem
% 0.68/0.87 # SZS output start CNFRefutation
% See solution above
% 0.68/0.87 # Parsed axioms : 420
% 0.68/0.87 # Removed by relevancy pruning/SinE : 215
% 0.68/0.87 # Initial clauses : 1072
% 0.68/0.87 # Removed in clause preprocessing : 2
% 0.68/0.87 # Initial clauses in saturation : 1070
% 0.68/0.87 # Processed clauses : 1744
% 0.68/0.87 # ...of these trivial : 3
% 0.68/0.87 # ...subsumed : 126
% 0.68/0.87 # ...remaining for further processing : 1615
% 0.68/0.87 # Other redundant clauses eliminated : 391
% 0.68/0.87 # Clauses deleted for lack of memory : 0
% 0.68/0.87 # Backward-subsumed : 5
% 0.68/0.87 # Backward-rewritten : 11
% 0.68/0.87 # Generated clauses : 1368
% 0.68/0.87 # ...of the previous two non-redundant : 1126
% 0.68/0.87 # ...aggressively subsumed : 0
% 0.68/0.87 # Contextual simplify-reflections : 182
% 0.68/0.87 # Paramodulations : 1075
% 0.68/0.87 # Factorizations : 0
% 0.68/0.87 # NegExts : 0
% 0.68/0.87 # Equation resolutions : 393
% 0.68/0.87 # Disequality decompositions : 0
% 0.68/0.87 # Total rewrite steps : 799
% 0.68/0.87 # ...of those cached : 742
% 0.68/0.87 # Propositional unsat checks : 0
% 0.68/0.87 # Propositional check models : 0
% 0.68/0.87 # Propositional check unsatisfiable : 0
% 0.68/0.87 # Propositional clauses : 0
% 0.68/0.87 # Propositional clauses after purity: 0
% 0.68/0.87 # Propositional unsat core size : 0
% 0.68/0.87 # Propositional preprocessing time : 0.000
% 0.68/0.87 # Propositional encoding time : 0.000
% 0.68/0.87 # Propositional solver time : 0.000
% 0.68/0.87 # Success case prop preproc time : 0.000
% 0.68/0.87 # Success case prop encoding time : 0.000
% 0.68/0.87 # Success case prop solver time : 0.000
% 0.68/0.87 # Current number of processed clauses : 319
% 0.68/0.87 # Positive orientable unit clauses : 62
% 0.68/0.87 # Positive unorientable unit clauses: 2
% 0.68/0.87 # Negative unit clauses : 26
% 0.68/0.87 # Non-unit-clauses : 229
% 0.68/0.87 # Current number of unprocessed clauses: 1437
% 0.68/0.87 # ...number of literals in the above : 5475
% 0.68/0.87 # Current number of archived formulas : 0
% 0.68/0.87 # Current number of archived clauses : 1008
% 0.68/0.87 # Clause-clause subsumption calls (NU) : 524801
% 0.68/0.87 # Rec. Clause-clause subsumption calls : 38591
% 0.68/0.87 # Non-unit clause-clause subsumptions : 259
% 0.68/0.87 # Unit Clause-clause subsumption calls : 1214
% 0.68/0.87 # Rewrite failures with RHS unbound : 0
% 0.68/0.87 # BW rewrite match attempts : 67
% 0.68/0.87 # BW rewrite match successes : 48
% 0.68/0.87 # Condensation attempts : 0
% 0.68/0.87 # Condensation successes : 0
% 0.68/0.87 # Termbank termtop insertions : 98332
% 0.68/0.87 # Search garbage collected termcells : 14899
% 0.68/0.87
% 0.68/0.87 # -------------------------------------------------
% 0.68/0.87 # User time : 0.311 s
% 0.68/0.87 # System time : 0.011 s
% 0.68/0.87 # Total time : 0.322 s
% 0.68/0.87 # Maximum resident set size: 4692 pages
% 0.68/0.87
% 0.68/0.87 # -------------------------------------------------
% 0.68/0.87 # User time : 0.323 s
% 0.68/0.87 # System time : 0.013 s
% 0.68/0.87 # Total time : 0.336 s
% 0.68/0.87 # Maximum resident set size: 2268 pages
% 0.68/0.87 % E---3.1 exiting
%------------------------------------------------------------------------------