TSTP Solution File: SET077+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 19:21:59 EDT 2023
% Result : Theorem 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 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; 0-2 aty)
% Number of variables : 11 ( 2 sgn; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(singletons_are_sets,conjecture,
! [X1] : member(singleton(X1),universal_class),
file('/export/starexec/sandbox2/tmp/tmp.fgv4eYwGbS/E---3.1_15455.p',singletons_are_sets) ).
fof(singleton_set_defn,axiom,
! [X1] : singleton(X1) = unordered_pair(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.fgv4eYwGbS/E---3.1_15455.p',singleton_set_defn) ).
fof(unordered_pair,axiom,
! [X1,X2] : member(unordered_pair(X1,X2),universal_class),
file('/export/starexec/sandbox2/tmp/tmp.fgv4eYwGbS/E---3.1_15455.p',unordered_pair) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] : member(singleton(X1),universal_class),
inference(assume_negation,[status(cth)],[singletons_are_sets]) ).
fof(c_0_4,negated_conjecture,
~ member(singleton(esk8_0),universal_class),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X24] : singleton(X24) = unordered_pair(X24,X24),
inference(variable_rename,[status(thm)],[singleton_set_defn]) ).
cnf(c_0_6,negated_conjecture,
~ member(singleton(esk8_0),universal_class),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X22,X23] : member(unordered_pair(X22,X23),universal_class),
inference(variable_rename,[status(thm)],[unordered_pair]) ).
cnf(c_0_9,negated_conjecture,
~ member(unordered_pair(esk8_0,esk8_0),universal_class),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
member(unordered_pair(X1,X2),universal_class),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Oct 2 17:35:58 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 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.fgv4eYwGbS/E---3.1_15455.p
% 0.14/0.42 # Version: 3.1pre001
% 0.14/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.42 # Starting sh5l with 300s (1) cores
% 0.14/0.42 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 15532 completed with status 0
% 0.14/0.42 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 # No SInE strategy applied
% 0.14/0.42 # Search class: FGHSM-FFMS21-DFFFFFNN
% 0.14/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.42 # Starting new_ho_10 with 271s (1) cores
% 0.14/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.42 # Starting ho_unfolding_3 with 271s (1) cores
% 0.14/0.42 # Starting new_ho_10_cnf2 with 271s (1) cores
% 0.14/0.42 # Starting pre_casc_2 with 271s (1) cores
% 0.14/0.42 # new_ho_10 with pid 15544 completed with status 0
% 0.14/0.42 # Result found by new_ho_10
% 0.14/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.42 # No SInE strategy applied
% 0.14/0.42 # Search class: FGHSM-FFMS21-DFFFFFNN
% 0.14/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.42 # Starting new_ho_10 with 271s (1) cores
% 0.14/0.42 # Preprocessing time : 0.002 s
% 0.14/0.42 # Presaturation interreduction done
% 0.14/0.42
% 0.14/0.42 # Proof found!
% 0.14/0.42 # SZS status Theorem
% 0.14/0.42 # SZS output start CNFRefutation
% See solution above
% 0.14/0.42 # Parsed axioms : 44
% 0.14/0.42 # Removed by relevancy pruning/SinE : 0
% 0.14/0.42 # Initial clauses : 90
% 0.14/0.42 # Removed in clause preprocessing : 8
% 0.14/0.42 # Initial clauses in saturation : 82
% 0.14/0.42 # Processed clauses : 7
% 0.14/0.42 # ...of these trivial : 0
% 0.14/0.42 # ...subsumed : 0
% 0.14/0.42 # ...remaining for further processing : 7
% 0.14/0.42 # Other redundant clauses eliminated : 0
% 0.14/0.42 # Clauses deleted for lack of memory : 0
% 0.14/0.42 # Backward-subsumed : 0
% 0.14/0.42 # Backward-rewritten : 1
% 0.14/0.42 # Generated clauses : 0
% 0.14/0.42 # ...of the previous two non-redundant : 0
% 0.14/0.42 # ...aggressively subsumed : 0
% 0.14/0.42 # Contextual simplify-reflections : 0
% 0.14/0.42 # Paramodulations : 0
% 0.14/0.42 # Factorizations : 0
% 0.14/0.42 # NegExts : 0
% 0.14/0.42 # Equation resolutions : 0
% 0.14/0.42 # Total rewrite steps : 1
% 0.14/0.42 # Propositional unsat checks : 0
% 0.14/0.42 # Propositional check models : 0
% 0.14/0.42 # Propositional check unsatisfiable : 0
% 0.14/0.42 # Propositional clauses : 0
% 0.14/0.42 # Propositional clauses after purity: 0
% 0.14/0.42 # Propositional unsat core size : 0
% 0.14/0.42 # Propositional preprocessing time : 0.000
% 0.14/0.42 # Propositional encoding time : 0.000
% 0.14/0.42 # Propositional solver time : 0.000
% 0.14/0.42 # Success case prop preproc time : 0.000
% 0.14/0.42 # Success case prop encoding time : 0.000
% 0.14/0.42 # Success case prop solver time : 0.000
% 0.14/0.42 # Current number of processed clauses : 6
% 0.14/0.42 # Positive orientable unit clauses : 5
% 0.14/0.42 # Positive unorientable unit clauses: 0
% 0.14/0.42 # Negative unit clauses : 1
% 0.14/0.42 # Non-unit-clauses : 0
% 0.14/0.42 # Current number of unprocessed clauses: 75
% 0.14/0.42 # ...number of literals in the above : 171
% 0.14/0.42 # Current number of archived formulas : 0
% 0.14/0.42 # Current number of archived clauses : 9
% 0.14/0.42 # Clause-clause subsumption calls (NU) : 0
% 0.14/0.42 # Rec. Clause-clause subsumption calls : 0
% 0.14/0.42 # Non-unit clause-clause subsumptions : 0
% 0.14/0.42 # Unit Clause-clause subsumption calls : 0
% 0.14/0.42 # Rewrite failures with RHS unbound : 0
% 0.14/0.42 # BW rewrite match attempts : 1
% 0.14/0.42 # BW rewrite match successes : 1
% 0.14/0.42 # Condensation attempts : 7
% 0.14/0.42 # Condensation successes : 0
% 0.14/0.42 # Termbank termtop insertions : 4873
% 0.14/0.42
% 0.14/0.42 # -------------------------------------------------
% 0.14/0.42 # User time : 0.007 s
% 0.14/0.42 # System time : 0.002 s
% 0.14/0.42 # Total time : 0.009 s
% 0.14/0.42 # Maximum resident set size: 2024 pages
% 0.14/0.42
% 0.14/0.42 # -------------------------------------------------
% 0.14/0.42 # User time : 0.014 s
% 0.14/0.42 # System time : 0.009 s
% 0.14/0.42 # Total time : 0.022 s
% 0.14/0.42 # Maximum resident set size: 1724 pages
% 0.14/0.42 % E---3.1 exiting
%------------------------------------------------------------------------------