TSTP Solution File: SET094-7 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SET094-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 09:22:09 EDT 2024

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   16 (   9 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(only_member_in_singleton,axiom,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.KgWZGGT75H/E---3.1_26010.p',only_member_in_singleton) ).

cnf(prove_property_of_singletons1_1,negated_conjecture,
    singleton(member_of(x)) = x,
    file('/export/starexec/sandbox/tmp/tmp.KgWZGGT75H/E---3.1_26010.p',prove_property_of_singletons1_1) ).

cnf(prove_property_of_singletons1_3,negated_conjecture,
    member_of(x) != y,
    file('/export/starexec/sandbox/tmp/tmp.KgWZGGT75H/E---3.1_26010.p',prove_property_of_singletons1_3) ).

cnf(prove_property_of_singletons1_2,negated_conjecture,
    member(y,x),
    file('/export/starexec/sandbox/tmp/tmp.KgWZGGT75H/E---3.1_26010.p',prove_property_of_singletons1_2) ).

cnf(c_0_4,plain,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    inference(fof_simplification,[status(thm)],[only_member_in_singleton]) ).

cnf(c_0_5,plain,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    c_0_4 ).

cnf(c_0_6,negated_conjecture,
    singleton(member_of(x)) = x,
    prove_property_of_singletons1_1 ).

cnf(c_0_7,negated_conjecture,
    member_of(x) != y,
    inference(fof_simplification,[status(thm)],[prove_property_of_singletons1_3]) ).

cnf(c_0_8,negated_conjecture,
    ( X1 = member_of(x)
    | ~ member(X1,x) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    member(y,x),
    prove_property_of_singletons1_2 ).

cnf(c_0_10,negated_conjecture,
    member_of(x) != y,
    c_0_7 ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET094-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 10:03:26 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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.KgWZGGT75H/E---3.1_26010.p
% 0.21/0.51  # Version: 3.1.0
% 0.21/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # new_bool_3 with pid 26114 completed with status 0
% 0.21/0.51  # Result found by new_bool_3
% 0.21/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51  # Search class: FGHSM-FFMS21-MFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.51  # SAT001_MinMin_p005000_rr_RG with pid 26117 completed with status 0
% 0.21/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51  # Search class: FGHSM-FFMS21-MFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.002 s
% 0.21/0.51  # Presaturation interreduction done
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Unsatisfiable
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 140
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 85
% 0.21/0.51  # Initial clauses                      : 55
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 55
% 0.21/0.51  # Processed clauses                    : 79
% 0.21/0.51  # ...of these trivial                  : 0
% 0.21/0.51  # ...subsumed                          : 3
% 0.21/0.51  # ...remaining for further processing  : 76
% 0.21/0.51  # Other redundant clauses eliminated   : 4
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 0
% 0.21/0.51  # Backward-rewritten                   : 0
% 0.21/0.51  # Generated clauses                    : 22
% 0.21/0.51  # ...of the previous two non-redundant : 12
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 0
% 0.21/0.51  # Paramodulations                      : 18
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 4
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 6
% 0.21/0.51  # ...of those cached                   : 3
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 22
% 0.21/0.51  #    Positive orientable unit clauses  : 10
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 2
% 0.21/0.51  #    Non-unit-clauses                  : 10
% 0.21/0.51  # Current number of unprocessed clauses: 40
% 0.21/0.51  # ...number of literals in the above   : 89
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 52
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 82
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 66
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 3
% 0.21/0.51  # Unit Clause-clause subsumption calls : 0
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 9
% 0.21/0.51  # BW rewrite match successes           : 4
% 0.21/0.51  # Condensation attempts                : 0
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 2220
% 0.21/0.51  # Search garbage collected termcells   : 474
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.009 s
% 0.21/0.51  # System time              : 0.000 s
% 0.21/0.51  # Total time               : 0.010 s
% 0.21/0.51  # Maximum resident set size: 1856 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.013 s
% 0.21/0.51  # System time              : 0.004 s
% 0.21/0.51  # Total time               : 0.016 s
% 0.21/0.51  # Maximum resident set size: 1800 pages
% 0.21/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------