TSTP Solution File: SET074-7 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET074-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 19:21:58 EDT 2023

% Result   : Unsatisfiable 0.22s 0.54s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (  11 unt;   0 nHn;   8 RR)
%            Number of literals    :   15 (   5 equ;   4 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(unordered_pair2,axiom,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox2/tmp/tmp.uRRuaDsd2J/E---3.1_21711.p',unordered_pair2) ).

cnf(prove_corollary_to_unordered_pair_axiom2_1,negated_conjecture,
    member(y,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.uRRuaDsd2J/E---3.1_21711.p',prove_corollary_to_unordered_pair_axiom2_1) ).

cnf(prove_corollary_to_unordered_pair_axiom2_2,negated_conjecture,
    unordered_pair(x,y) = null_class,
    file('/export/starexec/sandbox2/tmp/tmp.uRRuaDsd2J/E---3.1_21711.p',prove_corollary_to_unordered_pair_axiom2_2) ).

cnf(commutativity_of_unordered_pair,axiom,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.uRRuaDsd2J/E---3.1_21711.p',commutativity_of_unordered_pair) ).

cnf(existence_of_null_class,axiom,
    ~ member(X1,null_class),
    file('/export/starexec/sandbox2/tmp/tmp.uRRuaDsd2J/E---3.1_21711.p',existence_of_null_class) ).

cnf(c_0_5,axiom,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(X1,universal_class) ),
    unordered_pair2 ).

cnf(c_0_6,negated_conjecture,
    member(y,universal_class),
    prove_corollary_to_unordered_pair_axiom2_1 ).

cnf(c_0_7,negated_conjecture,
    unordered_pair(x,y) = null_class,
    prove_corollary_to_unordered_pair_axiom2_2 ).

cnf(c_0_8,axiom,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    commutativity_of_unordered_pair ).

cnf(c_0_9,negated_conjecture,
    member(y,unordered_pair(y,X1)),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    unordered_pair(y,x) = null_class,
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,axiom,
    ~ member(X1,null_class),
    existence_of_null_class ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : SET074-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 2400
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Oct  2 17:05:44 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  Running first-order model finding
% 0.22/0.51  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.uRRuaDsd2J/E---3.1_21711.p
% 0.22/0.54  # Version: 3.1pre001
% 0.22/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54  # Starting sh5l with 300s (1) cores
% 0.22/0.54  # new_bool_3 with pid 21789 completed with status 0
% 0.22/0.54  # Result found by new_bool_3
% 0.22/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.54  # Search class: FGUSM-FFMS21-MFFFFFNN
% 0.22/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.54  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 181s (1) cores
% 0.22/0.54  # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 21792 completed with status 0
% 0.22/0.54  # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.22/0.54  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.54  # Search class: FGUSM-FFMS21-MFFFFFNN
% 0.22/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.54  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 181s (1) cores
% 0.22/0.54  # Preprocessing time       : 0.004 s
% 0.22/0.54  # Presaturation interreduction done
% 0.22/0.54  
% 0.22/0.54  # Proof found!
% 0.22/0.54  # SZS status Unsatisfiable
% 0.22/0.54  # SZS output start CNFRefutation
% See solution above
% 0.22/0.54  # Parsed axioms                        : 117
% 0.22/0.54  # Removed by relevancy pruning/SinE    : 83
% 0.22/0.54  # Initial clauses                      : 34
% 0.22/0.54  # Removed in clause preprocessing      : 0
% 0.22/0.54  # Initial clauses in saturation        : 34
% 0.22/0.54  # Processed clauses                    : 70
% 0.22/0.54  # ...of these trivial                  : 0
% 0.22/0.54  # ...subsumed                          : 0
% 0.22/0.54  # ...remaining for further processing  : 70
% 0.22/0.54  # Other redundant clauses eliminated   : 2
% 0.22/0.54  # Clauses deleted for lack of memory   : 0
% 0.22/0.54  # Backward-subsumed                    : 0
% 0.22/0.54  # Backward-rewritten                   : 1
% 0.22/0.54  # Generated clauses                    : 145
% 0.22/0.54  # ...of the previous two non-redundant : 121
% 0.22/0.54  # ...aggressively subsumed             : 0
% 0.22/0.54  # Contextual simplify-reflections      : 0
% 0.22/0.54  # Paramodulations                      : 141
% 0.22/0.54  # Factorizations                       : 0
% 0.22/0.54  # NegExts                              : 0
% 0.22/0.54  # Equation resolutions                 : 4
% 0.22/0.54  # Total rewrite steps                  : 21
% 0.22/0.54  # Propositional unsat checks           : 0
% 0.22/0.54  #    Propositional check models        : 0
% 0.22/0.54  #    Propositional check unsatisfiable : 0
% 0.22/0.54  #    Propositional clauses             : 0
% 0.22/0.54  #    Propositional clauses after purity: 0
% 0.22/0.54  #    Propositional unsat core size     : 0
% 0.22/0.54  #    Propositional preprocessing time  : 0.000
% 0.22/0.54  #    Propositional encoding time       : 0.000
% 0.22/0.54  #    Propositional solver time         : 0.000
% 0.22/0.54  #    Success case prop preproc time    : 0.000
% 0.22/0.54  #    Success case prop encoding time   : 0.000
% 0.22/0.54  #    Success case prop solver time     : 0.000
% 0.22/0.54  # Current number of processed clauses  : 35
% 0.22/0.54  #    Positive orientable unit clauses  : 13
% 0.22/0.54  #    Positive unorientable unit clauses: 2
% 0.22/0.54  #    Negative unit clauses             : 1
% 0.22/0.54  #    Non-unit-clauses                  : 19
% 0.22/0.54  # Current number of unprocessed clauses: 115
% 0.22/0.54  # ...number of literals in the above   : 276
% 0.22/0.54  # Current number of archived formulas  : 0
% 0.22/0.54  # Current number of archived clauses   : 33
% 0.22/0.54  # Clause-clause subsumption calls (NU) : 50
% 0.22/0.54  # Rec. Clause-clause subsumption calls : 50
% 0.22/0.54  # Non-unit clause-clause subsumptions  : 0
% 0.22/0.54  # Unit Clause-clause subsumption calls : 1
% 0.22/0.54  # Rewrite failures with RHS unbound    : 0
% 0.22/0.54  # BW rewrite match attempts            : 28
% 0.22/0.54  # BW rewrite match successes           : 16
% 0.22/0.54  # Condensation attempts                : 0
% 0.22/0.54  # Condensation successes               : 0
% 0.22/0.54  # Termbank termtop insertions          : 2615
% 0.22/0.54  
% 0.22/0.54  # -------------------------------------------------
% 0.22/0.54  # User time                : 0.007 s
% 0.22/0.54  # System time              : 0.004 s
% 0.22/0.54  # Total time               : 0.011 s
% 0.22/0.54  # Maximum resident set size: 1844 pages
% 0.22/0.54  
% 0.22/0.54  # -------------------------------------------------
% 0.22/0.54  # User time                : 0.009 s
% 0.22/0.54  # System time              : 0.007 s
% 0.22/0.54  # Total time               : 0.017 s
% 0.22/0.54  # Maximum resident set size: 1764 pages
% 0.22/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------