TSTP Solution File: SET080-7 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET080-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 19:22:01 EDT 2023

% Result   : Unsatisfiable 0.49s 0.55s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   9 unt;   0 nHn;   6 RR)
%            Number of literals    :   13 (   2 equ;   5 neg)
%            Maximal clause size   :    2 (   1 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   :    7 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_null_class_in_its_singleton_1,negated_conjecture,
    ~ member(null_class,singleton(null_class)),
    file('/export/starexec/sandbox2/tmp/tmp.p8mqcFI96p/E---3.1_18727.p',prove_null_class_in_its_singleton_1) ).

cnf(singleton_set,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    file('/export/starexec/sandbox2/tmp/tmp.p8mqcFI96p/E---3.1_18727.p',singleton_set) ).

cnf(unordered_pair3,axiom,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/tmp/tmp.p8mqcFI96p/E---3.1_18727.p',unordered_pair3) ).

cnf(null_class_is_a_set,axiom,
    member(null_class,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.p8mqcFI96p/E---3.1_18727.p',null_class_is_a_set) ).

cnf(c_0_4,negated_conjecture,
    ~ member(null_class,singleton(null_class)),
    prove_null_class_in_its_singleton_1 ).

cnf(c_0_5,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    singleton_set ).

cnf(c_0_6,axiom,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    unordered_pair3 ).

cnf(c_0_7,axiom,
    member(null_class,universal_class),
    null_class_is_a_set ).

cnf(c_0_8,negated_conjecture,
    ~ member(null_class,unordered_pair(null_class,null_class)),
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_9,plain,
    member(null_class,unordered_pair(X1,null_class)),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SET080-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 17:06:06 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  Running first-order model finding
% 0.20/0.52  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.p8mqcFI96p/E---3.1_18727.p
% 0.49/0.55  # Version: 3.1pre001
% 0.49/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.49/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.49/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.49/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.49/0.55  # Starting sh5l with 300s (1) cores
% 0.49/0.55  # new_bool_3 with pid 18833 completed with status 0
% 0.49/0.55  # Result found by new_bool_3
% 0.49/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.49/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.49/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.49/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.49/0.55  # Search class: FGHSM-FFMF21-MFFFFFNN
% 0.49/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.49/0.55  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 181s (1) cores
% 0.49/0.55  # G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with pid 18836 completed with status 0
% 0.49/0.55  # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN
% 0.49/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.49/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.49/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.49/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.49/0.55  # Search class: FGHSM-FFMF21-MFFFFFNN
% 0.49/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.49/0.55  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 181s (1) cores
% 0.49/0.55  # Preprocessing time       : 0.002 s
% 0.49/0.55  # Presaturation interreduction done
% 0.49/0.55  
% 0.49/0.55  # Proof found!
% 0.49/0.55  # SZS status Unsatisfiable
% 0.49/0.55  # SZS output start CNFRefutation
% See solution above
% 0.49/0.55  # Parsed axioms                        : 124
% 0.49/0.55  # Removed by relevancy pruning/SinE    : 83
% 0.49/0.55  # Initial clauses                      : 41
% 0.49/0.55  # Removed in clause preprocessing      : 0
% 0.49/0.55  # Initial clauses in saturation        : 41
% 0.49/0.55  # Processed clauses                    : 71
% 0.49/0.55  # ...of these trivial                  : 0
% 0.49/0.55  # ...subsumed                          : 7
% 0.49/0.55  # ...remaining for further processing  : 64
% 0.49/0.55  # Other redundant clauses eliminated   : 2
% 0.49/0.55  # Clauses deleted for lack of memory   : 0
% 0.49/0.55  # Backward-subsumed                    : 1
% 0.49/0.55  # Backward-rewritten                   : 12
% 0.49/0.55  # Generated clauses                    : 16
% 0.49/0.55  # ...of the previous two non-redundant : 20
% 0.49/0.55  # ...aggressively subsumed             : 0
% 0.49/0.55  # Contextual simplify-reflections      : 0
% 0.49/0.55  # Paramodulations                      : 14
% 0.49/0.55  # Factorizations                       : 0
% 0.49/0.55  # NegExts                              : 0
% 0.49/0.55  # Equation resolutions                 : 2
% 0.49/0.55  # Total rewrite steps                  : 28
% 0.49/0.55  # Propositional unsat checks           : 0
% 0.49/0.55  #    Propositional check models        : 0
% 0.49/0.55  #    Propositional check unsatisfiable : 0
% 0.49/0.55  #    Propositional clauses             : 0
% 0.49/0.55  #    Propositional clauses after purity: 0
% 0.49/0.55  #    Propositional unsat core size     : 0
% 0.49/0.55  #    Propositional preprocessing time  : 0.000
% 0.49/0.55  #    Propositional encoding time       : 0.000
% 0.49/0.55  #    Propositional solver time         : 0.000
% 0.49/0.55  #    Success case prop preproc time    : 0.000
% 0.49/0.55  #    Success case prop encoding time   : 0.000
% 0.49/0.55  #    Success case prop solver time     : 0.000
% 0.49/0.55  # Current number of processed clauses  : 13
% 0.49/0.55  #    Positive orientable unit clauses  : 7
% 0.49/0.55  #    Positive unorientable unit clauses: 1
% 0.49/0.55  #    Negative unit clauses             : 1
% 0.49/0.55  #    Non-unit-clauses                  : 4
% 0.49/0.55  # Current number of unprocessed clauses: 26
% 0.49/0.55  # ...number of literals in the above   : 56
% 0.49/0.55  # Current number of archived formulas  : 0
% 0.49/0.55  # Current number of archived clauses   : 49
% 0.49/0.55  # Clause-clause subsumption calls (NU) : 63
% 0.49/0.55  # Rec. Clause-clause subsumption calls : 63
% 0.49/0.55  # Non-unit clause-clause subsumptions  : 6
% 0.49/0.55  # Unit Clause-clause subsumption calls : 4
% 0.49/0.55  # Rewrite failures with RHS unbound    : 0
% 0.49/0.55  # BW rewrite match attempts            : 27
% 0.49/0.55  # BW rewrite match successes           : 24
% 0.49/0.55  # Condensation attempts                : 0
% 0.49/0.55  # Condensation successes               : 0
% 0.49/0.55  # Termbank termtop insertions          : 1855
% 0.49/0.55  
% 0.49/0.55  # -------------------------------------------------
% 0.49/0.55  # User time                : 0.004 s
% 0.49/0.55  # System time              : 0.004 s
% 0.49/0.55  # Total time               : 0.008 s
% 0.49/0.55  # Maximum resident set size: 1848 pages
% 0.49/0.55  
% 0.49/0.55  # -------------------------------------------------
% 0.49/0.55  # User time                : 0.007 s
% 0.49/0.55  # System time              : 0.006 s
% 0.49/0.55  # Total time               : 0.013 s
% 0.49/0.55  # Maximum resident set size: 1768 pages
% 0.49/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------