TSTP Solution File: SET085-6 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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   : Unsatisfiable 0.16s 0.45s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (  11 unt;   3 nHn;  13 RR)
%            Number of literals    :   26 (  14 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(unordered_pair_member,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.rRZohbIKlK/E---3.1_5707.p',unordered_pair_member) ).

cnf(prove_singleton_in_unordered_pair3_1,negated_conjecture,
    unordered_pair(y,z) = singleton(x),
    file('/export/starexec/sandbox/tmp/tmp.rRZohbIKlK/E---3.1_5707.p',prove_singleton_in_unordered_pair3_1) ).

cnf(unordered_pair3,axiom,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.rRZohbIKlK/E---3.1_5707.p',unordered_pair3) ).

cnf(singleton_set,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    file('/export/starexec/sandbox/tmp/tmp.rRZohbIKlK/E---3.1_5707.p',singleton_set) ).

cnf(prove_singleton_in_unordered_pair3_2,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.rRZohbIKlK/E---3.1_5707.p',prove_singleton_in_unordered_pair3_2) ).

cnf(prove_singleton_in_unordered_pair3_3,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox/tmp/tmp.rRZohbIKlK/E---3.1_5707.p',prove_singleton_in_unordered_pair3_3) ).

cnf(prove_singleton_in_unordered_pair3_4,negated_conjecture,
    x != z,
    file('/export/starexec/sandbox/tmp/tmp.rRZohbIKlK/E---3.1_5707.p',prove_singleton_in_unordered_pair3_4) ).

cnf(c_0_7,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X2,X3)) ),
    unordered_pair_member ).

cnf(c_0_8,negated_conjecture,
    unordered_pair(y,z) = singleton(x),
    prove_singleton_in_unordered_pair3_1 ).

cnf(c_0_9,axiom,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    unordered_pair3 ).

cnf(c_0_10,axiom,
    unordered_pair(X1,X1) = singleton(X1),
    singleton_set ).

cnf(c_0_11,negated_conjecture,
    ( X1 = y
    | X1 = z
    | ~ member(X1,singleton(x)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    ( member(X1,singleton(X1))
    | ~ member(X1,universal_class) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    member(x,universal_class),
    prove_singleton_in_unordered_pair3_2 ).

cnf(c_0_14,negated_conjecture,
    x != y,
    prove_singleton_in_unordered_pair3_3 ).

cnf(c_0_15,negated_conjecture,
    x != z,
    prove_singleton_in_unordered_pair3_4 ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 16:32:26 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  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.rRZohbIKlK/E---3.1_5707.p
% 0.16/0.45  # Version: 3.1pre001
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # Starting sh5l with 300s (1) cores
% 0.16/0.45  # new_bool_3 with pid 5786 completed with status 0
% 0.16/0.45  # Result found by new_bool_3
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.16/0.45  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 5790 completed with status 0
% 0.16/0.45  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.16/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45  # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.16/0.45  # Preprocessing time       : 0.002 s
% 0.16/0.45  # Presaturation interreduction done
% 0.16/0.45  
% 0.16/0.45  # Proof found!
% 0.16/0.45  # SZS status Unsatisfiable
% 0.16/0.45  # SZS output start CNFRefutation
% See solution above
% 0.16/0.45  # Parsed axioms                        : 95
% 0.16/0.45  # Removed by relevancy pruning/SinE    : 56
% 0.16/0.45  # Initial clauses                      : 39
% 0.16/0.45  # Removed in clause preprocessing      : 0
% 0.16/0.45  # Initial clauses in saturation        : 39
% 0.16/0.45  # Processed clauses                    : 79
% 0.16/0.45  # ...of these trivial                  : 0
% 0.16/0.45  # ...subsumed                          : 0
% 0.16/0.45  # ...remaining for further processing  : 79
% 0.16/0.45  # Other redundant clauses eliminated   : 4
% 0.16/0.45  # Clauses deleted for lack of memory   : 0
% 0.16/0.45  # Backward-subsumed                    : 2
% 0.16/0.45  # Backward-rewritten                   : 1
% 0.16/0.45  # Generated clauses                    : 49
% 0.16/0.45  # ...of the previous two non-redundant : 36
% 0.16/0.45  # ...aggressively subsumed             : 0
% 0.16/0.45  # Contextual simplify-reflections      : 0
% 0.16/0.45  # Paramodulations                      : 35
% 0.16/0.45  # Factorizations                       : 10
% 0.16/0.45  # NegExts                              : 0
% 0.16/0.45  # Equation resolutions                 : 4
% 0.16/0.45  # Total rewrite steps                  : 12
% 0.16/0.45  # Propositional unsat checks           : 0
% 0.16/0.45  #    Propositional check models        : 0
% 0.16/0.45  #    Propositional check unsatisfiable : 0
% 0.16/0.45  #    Propositional clauses             : 0
% 0.16/0.45  #    Propositional clauses after purity: 0
% 0.16/0.45  #    Propositional unsat core size     : 0
% 0.16/0.45  #    Propositional preprocessing time  : 0.000
% 0.16/0.45  #    Propositional encoding time       : 0.000
% 0.16/0.45  #    Propositional solver time         : 0.000
% 0.16/0.45  #    Success case prop preproc time    : 0.000
% 0.16/0.45  #    Success case prop encoding time   : 0.000
% 0.16/0.45  #    Success case prop solver time     : 0.000
% 0.16/0.45  # Current number of processed clauses  : 36
% 0.16/0.45  #    Positive orientable unit clauses  : 11
% 0.16/0.45  #    Positive unorientable unit clauses: 0
% 0.16/0.45  #    Negative unit clauses             : 4
% 0.16/0.45  #    Non-unit-clauses                  : 21
% 0.16/0.45  # Current number of unprocessed clauses: 31
% 0.16/0.45  # ...number of literals in the above   : 72
% 0.16/0.45  # Current number of archived formulas  : 0
% 0.16/0.45  # Current number of archived clauses   : 41
% 0.16/0.45  # Clause-clause subsumption calls (NU) : 166
% 0.16/0.45  # Rec. Clause-clause subsumption calls : 160
% 0.16/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.45  # Unit Clause-clause subsumption calls : 11
% 0.16/0.45  # Rewrite failures with RHS unbound    : 0
% 0.16/0.45  # BW rewrite match attempts            : 5
% 0.16/0.45  # BW rewrite match successes           : 1
% 0.16/0.45  # Condensation attempts                : 0
% 0.16/0.45  # Condensation successes               : 0
% 0.16/0.45  # Termbank termtop insertions          : 1919
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.005 s
% 0.16/0.45  # System time              : 0.003 s
% 0.16/0.45  # Total time               : 0.008 s
% 0.16/0.45  # Maximum resident set size: 1804 pages
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.007 s
% 0.16/0.45  # System time              : 0.004 s
% 0.16/0.45  # Total time               : 0.011 s
% 0.16/0.45  # Maximum resident set size: 1756 pages
% 0.16/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------