TSTP Solution File: SET024+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET024+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 19:21:40 EDT 2023
% Result : Theorem 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 33 ( 10 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 32 ( 13 ~; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(set_in_its_singleton,conjecture,
! [X1] :
( member(X1,universal_class)
=> member(X1,singleton(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.C5Oiula3nI/E---3.1_1662.p',set_in_its_singleton) ).
fof(singleton_set_defn,axiom,
! [X1] : singleton(X1) = unordered_pair(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.C5Oiula3nI/E---3.1_1662.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.C5Oiula3nI/E---3.1_1662.p',unordered_pair_defn) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( member(X1,universal_class)
=> member(X1,singleton(X1)) ),
inference(assume_negation,[status(cth)],[set_in_its_singleton]) ).
fof(c_0_4,negated_conjecture,
( member(esk8_0,universal_class)
& ~ member(esk8_0,singleton(esk8_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,
~ member(esk8_0,singleton(esk8_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,
( member(X1,unordered_pair(X3,X2))
| X1 != X2
| ~ member(X1,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ member(esk8_0,unordered_pair(esk8_0,esk8_0)),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
member(esk8_0,universal_class),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET024+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n016.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 17:29:36 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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.C5Oiula3nI/E---3.1_1662.p
% 0.15/0.43 # Version: 3.1pre001
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1744 completed with status 0
% 0.15/0.43 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # No SInE strategy applied
% 0.15/0.43 # Search class: FGHSM-FFMM21-DFFFFFNN
% 0.15/0.43 # partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.15/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.43 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.15/0.43 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.15/0.43 # G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with pid 1761 completed with status 0
% 0.15/0.43 # Result found by G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # No SInE strategy applied
% 0.15/0.43 # Search class: FGHSM-FFMM21-DFFFFFNN
% 0.15/0.43 # partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.15/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.43 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.15/0.43 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.15/0.43 # Preprocessing time : 0.002 s
% 0.15/0.43 # Presaturation interreduction done
% 0.15/0.43
% 0.15/0.43 # Proof found!
% 0.15/0.43 # SZS status Theorem
% 0.15/0.43 # SZS output start CNFRefutation
% See solution above
% 0.15/0.43 # Parsed axioms : 44
% 0.15/0.43 # Removed by relevancy pruning/SinE : 0
% 0.15/0.43 # Initial clauses : 91
% 0.15/0.43 # Removed in clause preprocessing : 8
% 0.15/0.43 # Initial clauses in saturation : 83
% 0.15/0.43 # Processed clauses : 114
% 0.15/0.43 # ...of these trivial : 0
% 0.15/0.43 # ...subsumed : 0
% 0.15/0.43 # ...remaining for further processing : 114
% 0.15/0.43 # Other redundant clauses eliminated : 6
% 0.15/0.43 # Clauses deleted for lack of memory : 0
% 0.15/0.43 # Backward-subsumed : 0
% 0.15/0.43 # Backward-rewritten : 0
% 0.15/0.43 # Generated clauses : 9
% 0.15/0.43 # ...of the previous two non-redundant : 6
% 0.15/0.43 # ...aggressively subsumed : 0
% 0.15/0.43 # Contextual simplify-reflections : 0
% 0.15/0.43 # Paramodulations : 3
% 0.15/0.43 # Factorizations : 0
% 0.15/0.43 # NegExts : 0
% 0.15/0.43 # Equation resolutions : 6
% 0.15/0.43 # Total rewrite steps : 2
% 0.15/0.43 # Propositional unsat checks : 0
% 0.15/0.43 # Propositional check models : 0
% 0.15/0.43 # Propositional check unsatisfiable : 0
% 0.15/0.43 # Propositional clauses : 0
% 0.15/0.43 # Propositional clauses after purity: 0
% 0.15/0.43 # Propositional unsat core size : 0
% 0.15/0.43 # Propositional preprocessing time : 0.000
% 0.15/0.43 # Propositional encoding time : 0.000
% 0.15/0.43 # Propositional solver time : 0.000
% 0.15/0.43 # Success case prop preproc time : 0.000
% 0.15/0.43 # Success case prop encoding time : 0.000
% 0.15/0.43 # Success case prop solver time : 0.000
% 0.15/0.43 # Current number of processed clauses : 26
% 0.15/0.43 # Positive orientable unit clauses : 10
% 0.15/0.43 # Positive unorientable unit clauses: 0
% 0.15/0.43 # Negative unit clauses : 2
% 0.15/0.43 # Non-unit-clauses : 14
% 0.15/0.43 # Current number of unprocessed clauses: 57
% 0.15/0.43 # ...number of literals in the above : 132
% 0.15/0.43 # Current number of archived formulas : 0
% 0.15/0.43 # Current number of archived clauses : 90
% 0.15/0.43 # Clause-clause subsumption calls (NU) : 965
% 0.15/0.43 # Rec. Clause-clause subsumption calls : 870
% 0.15/0.43 # Non-unit clause-clause subsumptions : 0
% 0.15/0.43 # Unit Clause-clause subsumption calls : 2
% 0.15/0.43 # Rewrite failures with RHS unbound : 0
% 0.15/0.43 # BW rewrite match attempts : 2
% 0.15/0.43 # BW rewrite match successes : 0
% 0.15/0.43 # Condensation attempts : 0
% 0.15/0.43 # Condensation successes : 0
% 0.15/0.43 # Termbank termtop insertions : 6507
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.011 s
% 0.15/0.43 # System time : 0.002 s
% 0.15/0.43 # Total time : 0.013 s
% 0.15/0.43 # Maximum resident set size: 2048 pages
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.040 s
% 0.15/0.43 # System time : 0.010 s
% 0.15/0.43 # Total time : 0.050 s
% 0.15/0.43 # Maximum resident set size: 1728 pages
% 0.15/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------