TSTP Solution File: SET083+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET083+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 19:22:02 EDT 2023
% Result : Theorem 0.36s 0.54s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 42 ( 22 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 39 ( 14 ~; 14 |; 8 &)
% ( 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 : 22 ( 2 sgn; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(singleton_identified_by_element1,conjecture,
! [X1,X2] :
( ( singleton(X1) = singleton(X2)
& member(X1,universal_class) )
=> X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.EdJvcMwchy/E---3.1_17509.p',singleton_identified_by_element1) ).
fof(singleton_set_defn,axiom,
! [X1] : singleton(X1) = unordered_pair(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.EdJvcMwchy/E---3.1_17509.p',singleton_set_defn) ).
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.EdJvcMwchy/E---3.1_17509.p',unordered_pair_defn) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( ( singleton(X1) = singleton(X2)
& member(X1,universal_class) )
=> X1 = X2 ),
inference(assume_negation,[status(cth)],[singleton_identified_by_element1]) ).
fof(c_0_4,negated_conjecture,
( singleton(esk8_0) = singleton(esk9_0)
& member(esk8_0,universal_class)
& esk8_0 != esk9_0 ),
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]) ).
fof(c_0_6,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])])]) ).
cnf(c_0_7,negated_conjecture,
singleton(esk8_0) = singleton(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( X1 = X2
| X1 = X3
| ~ member(X1,unordered_pair(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
unordered_pair(esk9_0,esk9_0) = unordered_pair(esk8_0,esk8_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).
cnf(c_0_11,plain,
( member(X1,unordered_pair(X3,X2))
| X1 != X2
| ~ member(X1,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( X1 = esk9_0
| ~ member(X1,unordered_pair(esk8_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
member(esk8_0,universal_class),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
esk8_0 != esk9_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SET083+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 2400
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Oct 2 16:31:38 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 Running first-order model finding
% 0.22/0.52 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.EdJvcMwchy/E---3.1_17509.p
% 0.36/0.54 # Version: 3.1pre001
% 0.36/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.36/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.36/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.54 # Starting sh5l with 300s (1) cores
% 0.36/0.54 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17586 completed with status 0
% 0.36/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.36/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.36/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.36/0.54 # No SInE strategy applied
% 0.36/0.54 # Search class: FGHSM-FFMM21-DFFFFFNN
% 0.36/0.54 # partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.36/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.36/0.54 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.36/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.36/0.54 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.36/0.54 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.36/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.36/0.54 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17596 completed with status 0
% 0.36/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.36/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.36/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.36/0.54 # No SInE strategy applied
% 0.36/0.54 # Search class: FGHSM-FFMM21-DFFFFFNN
% 0.36/0.54 # partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.36/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.36/0.54 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.36/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.36/0.54 # Preprocessing time : 0.002 s
% 0.36/0.54 # Presaturation interreduction done
% 0.36/0.54
% 0.36/0.54 # Proof found!
% 0.36/0.54 # SZS status Theorem
% 0.36/0.54 # SZS output start CNFRefutation
% See solution above
% 0.36/0.54 # Parsed axioms : 44
% 0.36/0.54 # Removed by relevancy pruning/SinE : 0
% 0.36/0.54 # Initial clauses : 92
% 0.36/0.54 # Removed in clause preprocessing : 8
% 0.36/0.54 # Initial clauses in saturation : 84
% 0.36/0.54 # Processed clauses : 136
% 0.36/0.54 # ...of these trivial : 0
% 0.36/0.54 # ...subsumed : 1
% 0.36/0.54 # ...remaining for further processing : 135
% 0.36/0.54 # Other redundant clauses eliminated : 6
% 0.36/0.54 # Clauses deleted for lack of memory : 0
% 0.36/0.54 # Backward-subsumed : 1
% 0.36/0.54 # Backward-rewritten : 0
% 0.36/0.54 # Generated clauses : 46
% 0.36/0.54 # ...of the previous two non-redundant : 40
% 0.36/0.54 # ...aggressively subsumed : 0
% 0.36/0.54 # Contextual simplify-reflections : 0
% 0.36/0.54 # Paramodulations : 40
% 0.36/0.54 # Factorizations : 0
% 0.36/0.54 # NegExts : 0
% 0.36/0.54 # Equation resolutions : 6
% 0.36/0.54 # Total rewrite steps : 4
% 0.36/0.54 # Propositional unsat checks : 0
% 0.36/0.54 # Propositional check models : 0
% 0.36/0.54 # Propositional check unsatisfiable : 0
% 0.36/0.54 # Propositional clauses : 0
% 0.36/0.54 # Propositional clauses after purity: 0
% 0.36/0.54 # Propositional unsat core size : 0
% 0.36/0.54 # Propositional preprocessing time : 0.000
% 0.36/0.54 # Propositional encoding time : 0.000
% 0.36/0.54 # Propositional solver time : 0.000
% 0.36/0.54 # Success case prop preproc time : 0.000
% 0.36/0.54 # Success case prop encoding time : 0.000
% 0.36/0.54 # Success case prop solver time : 0.000
% 0.36/0.54 # Current number of processed clauses : 45
% 0.36/0.54 # Positive orientable unit clauses : 14
% 0.36/0.54 # Positive unorientable unit clauses: 0
% 0.36/0.54 # Negative unit clauses : 3
% 0.36/0.54 # Non-unit-clauses : 28
% 0.36/0.54 # Current number of unprocessed clauses: 70
% 0.36/0.54 # ...number of literals in the above : 166
% 0.36/0.54 # Current number of archived formulas : 0
% 0.36/0.54 # Current number of archived clauses : 92
% 0.36/0.54 # Clause-clause subsumption calls (NU) : 913
% 0.36/0.54 # Rec. Clause-clause subsumption calls : 842
% 0.36/0.54 # Non-unit clause-clause subsumptions : 1
% 0.36/0.54 # Unit Clause-clause subsumption calls : 8
% 0.36/0.54 # Rewrite failures with RHS unbound : 0
% 0.36/0.54 # BW rewrite match attempts : 2
% 0.36/0.54 # BW rewrite match successes : 0
% 0.36/0.54 # Condensation attempts : 0
% 0.36/0.54 # Condensation successes : 0
% 0.36/0.54 # Termbank termtop insertions : 6977
% 0.36/0.54
% 0.36/0.54 # -------------------------------------------------
% 0.36/0.54 # User time : 0.013 s
% 0.36/0.54 # System time : 0.002 s
% 0.36/0.54 # Total time : 0.015 s
% 0.36/0.54 # Maximum resident set size: 2032 pages
% 0.36/0.54
% 0.36/0.54 # -------------------------------------------------
% 0.36/0.54 # User time : 0.047 s
% 0.36/0.54 # System time : 0.009 s
% 0.36/0.54 # Total time : 0.056 s
% 0.36/0.54 # Maximum resident set size: 1728 pages
% 0.36/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------