TSTP Solution File: SET079+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET079+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 19:22:00 EDT 2023
% Result : Theorem 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 37 ( 15 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 35 ( 16 ~; 11 |; 5 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 3 sgn; 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_to_set_in_its_singleton,conjecture,
! [X1] :
( member(X1,universal_class)
=> singleton(X1) != null_class ),
file('/export/starexec/sandbox/tmp/tmp.pKpVvXCFyP/E---3.1_4947.p',corollary_to_set_in_its_singleton) ).
fof(unordered_pair_defn,axiom,
! [X3,X1,X2] :
( member(X3,unordered_pair(X1,X2))
<=> ( member(X3,universal_class)
& ( X3 = X1
| X3 = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.pKpVvXCFyP/E---3.1_4947.p',unordered_pair_defn) ).
fof(singleton_set_defn,axiom,
! [X1] : singleton(X1) = unordered_pair(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.pKpVvXCFyP/E---3.1_4947.p',singleton_set_defn) ).
fof(null_class_defn,axiom,
! [X1] : ~ member(X1,null_class),
file('/export/starexec/sandbox/tmp/tmp.pKpVvXCFyP/E---3.1_4947.p',null_class_defn) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( member(X1,universal_class)
=> singleton(X1) != null_class ),
inference(assume_negation,[status(cth)],[corollary_to_set_in_its_singleton]) ).
fof(c_0_5,plain,
! [X19,X20,X21] :
( ( member(X19,universal_class)
| ~ member(X19,unordered_pair(X20,X21)) )
& ( X19 = X20
| X19 = X21
| ~ member(X19,unordered_pair(X20,X21)) )
& ( X19 != X20
| ~ member(X19,universal_class)
| member(X19,unordered_pair(X20,X21)) )
& ( X19 != X21
| ~ member(X19,universal_class)
| member(X19,unordered_pair(X20,X21)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair_defn])])]) ).
fof(c_0_6,negated_conjecture,
( member(esk8_0,universal_class)
& singleton(esk8_0) = null_class ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X24] : singleton(X24) = unordered_pair(X24,X24),
inference(variable_rename,[status(thm)],[singleton_set_defn]) ).
fof(c_0_8,plain,
! [X1] : ~ member(X1,null_class),
inference(fof_simplification,[status(thm)],[null_class_defn]) ).
cnf(c_0_9,plain,
( member(X1,unordered_pair(X3,X2))
| X1 != X2
| ~ member(X1,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
singleton(esk8_0) = null_class,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,plain,
! [X46] : ~ member(X46,null_class),
inference(variable_rename,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
unordered_pair(esk8_0,esk8_0) = null_class,
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
member(esk8_0,universal_class),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,plain,
~ member(X1,null_class),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SET079+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n023.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 17:07:07 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.40 Running first-order model finding
% 0.15/0.40 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.pKpVvXCFyP/E---3.1_4947.p
% 0.15/0.42 # Version: 3.1pre001
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42 # Starting sh5l with 300s (1) cores
% 0.15/0.42 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5024 completed with status 0
% 0.15/0.42 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # No SInE strategy applied
% 0.15/0.42 # Search class: FGHSM-FFMM21-DFFFFFNN
% 0.15/0.42 # partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.15/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.42 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.42 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.15/0.42 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.15/0.42 # G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with pid 5040 completed with status 0
% 0.15/0.42 # Result found by G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # No SInE strategy applied
% 0.15/0.42 # Search class: FGHSM-FFMM21-DFFFFFNN
% 0.15/0.42 # partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.15/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.42 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.42 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.15/0.42 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.15/0.42 # Preprocessing time : 0.002 s
% 0.15/0.42 # Presaturation interreduction done
% 0.15/0.42
% 0.15/0.42 # Proof found!
% 0.15/0.42 # SZS status Theorem
% 0.15/0.42 # SZS output start CNFRefutation
% See solution above
% 0.15/0.42 # Parsed axioms : 44
% 0.15/0.42 # Removed by relevancy pruning/SinE : 0
% 0.15/0.42 # Initial clauses : 91
% 0.15/0.42 # Removed in clause preprocessing : 8
% 0.15/0.42 # Initial clauses in saturation : 83
% 0.15/0.42 # Processed clauses : 115
% 0.15/0.42 # ...of these trivial : 0
% 0.15/0.42 # ...subsumed : 1
% 0.15/0.42 # ...remaining for further processing : 114
% 0.15/0.42 # Other redundant clauses eliminated : 6
% 0.15/0.42 # Clauses deleted for lack of memory : 0
% 0.15/0.42 # Backward-subsumed : 0
% 0.15/0.42 # Backward-rewritten : 0
% 0.15/0.42 # Generated clauses : 11
% 0.15/0.42 # ...of the previous two non-redundant : 8
% 0.15/0.42 # ...aggressively subsumed : 0
% 0.15/0.42 # Contextual simplify-reflections : 0
% 0.15/0.42 # Paramodulations : 5
% 0.15/0.42 # Factorizations : 0
% 0.15/0.42 # NegExts : 0
% 0.15/0.42 # Equation resolutions : 6
% 0.15/0.42 # Total rewrite steps : 2
% 0.15/0.42 # Propositional unsat checks : 0
% 0.15/0.42 # Propositional check models : 0
% 0.15/0.42 # Propositional check unsatisfiable : 0
% 0.15/0.42 # Propositional clauses : 0
% 0.15/0.42 # Propositional clauses after purity: 0
% 0.15/0.42 # Propositional unsat core size : 0
% 0.15/0.42 # Propositional preprocessing time : 0.000
% 0.15/0.42 # Propositional encoding time : 0.000
% 0.15/0.42 # Propositional solver time : 0.000
% 0.15/0.42 # Success case prop preproc time : 0.000
% 0.15/0.42 # Success case prop encoding time : 0.000
% 0.15/0.42 # Success case prop solver time : 0.000
% 0.15/0.42 # Current number of processed clauses : 26
% 0.15/0.42 # Positive orientable unit clauses : 12
% 0.15/0.42 # Positive unorientable unit clauses: 0
% 0.15/0.42 # Negative unit clauses : 1
% 0.15/0.42 # Non-unit-clauses : 13
% 0.15/0.42 # Current number of unprocessed clauses: 58
% 0.15/0.42 # ...number of literals in the above : 135
% 0.15/0.42 # Current number of archived formulas : 0
% 0.15/0.42 # Current number of archived clauses : 90
% 0.15/0.42 # Clause-clause subsumption calls (NU) : 849
% 0.15/0.42 # Rec. Clause-clause subsumption calls : 783
% 0.15/0.42 # Non-unit clause-clause subsumptions : 0
% 0.15/0.42 # Unit Clause-clause subsumption calls : 2
% 0.15/0.42 # Rewrite failures with RHS unbound : 0
% 0.15/0.42 # BW rewrite match attempts : 2
% 0.15/0.42 # BW rewrite match successes : 0
% 0.15/0.42 # Condensation attempts : 0
% 0.15/0.42 # Condensation successes : 0
% 0.15/0.42 # Termbank termtop insertions : 6507
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.012 s
% 0.15/0.42 # System time : 0.002 s
% 0.15/0.42 # Total time : 0.015 s
% 0.15/0.42 # Maximum resident set size: 2024 pages
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.042 s
% 0.15/0.42 # System time : 0.011 s
% 0.15/0.42 # Total time : 0.053 s
% 0.15/0.42 # Maximum resident set size: 1724 pages
% 0.15/0.42 % E---3.1 exiting
%------------------------------------------------------------------------------