TSTP Solution File: SEU150+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEU150+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 19:30:35 EDT 2023

% Result   : Theorem 0.16s 0.45s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   8   ~;   5   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (   4 sgn;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t9_zfmisc_1,conjecture,
    ! [X1,X2,X3] :
      ( singleton(X1) = unordered_pair(X2,X3)
     => X2 = X3 ),
    file('/export/starexec/sandbox/tmp/tmp.40L3AmuB20/E---3.1_16784.p',t9_zfmisc_1) ).

fof(t8_zfmisc_1,axiom,
    ! [X1,X2,X3] :
      ( singleton(X1) = unordered_pair(X2,X3)
     => X1 = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.40L3AmuB20/E---3.1_16784.p',t8_zfmisc_1) ).

fof(commutativity_k2_tarski,axiom,
    ! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.40L3AmuB20/E---3.1_16784.p',commutativity_k2_tarski) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( singleton(X1) = unordered_pair(X2,X3)
       => X2 = X3 ),
    inference(assume_negation,[status(cth)],[t9_zfmisc_1]) ).

fof(c_0_4,plain,
    ! [X9,X10,X11] :
      ( singleton(X9) != unordered_pair(X10,X11)
      | X9 = X10 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_zfmisc_1])]) ).

fof(c_0_5,negated_conjecture,
    ( singleton(esk1_0) = unordered_pair(esk2_0,esk3_0)
    & esk2_0 != esk3_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_6,plain,
    ( X1 = X2
    | singleton(X1) != unordered_pair(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    singleton(esk1_0) = unordered_pair(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X7,X8] : unordered_pair(X7,X8) = unordered_pair(X8,X7),
    inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).

cnf(c_0_9,negated_conjecture,
    ( esk1_0 = X1
    | unordered_pair(esk2_0,esk3_0) != unordered_pair(X1,X2) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    esk1_0 = esk2_0,
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_12,plain,
    ( X1 = X2
    | singleton(X1) != unordered_pair(X3,X2) ),
    inference(spm,[status(thm)],[c_0_6,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    singleton(esk2_0) = unordered_pair(esk2_0,esk3_0),
    inference(rw,[status(thm)],[c_0_7,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( esk2_0 = X1
    | unordered_pair(esk2_0,esk3_0) != unordered_pair(X2,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,negated_conjecture,
    esk2_0 != esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SEU150+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n027.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 09:03:15 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.44  Running first-order model finding
% 0.16/0.44  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.40L3AmuB20/E---3.1_16784.p
% 0.16/0.45  # Version: 3.1pre001
% 0.16/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN 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 16862 completed with status 0
% 0.16/0.45  # Result found by new_bool_3
% 0.16/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN 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: FHUPF-FFSF21-SFFFFFNN
% 0.16/0.45  # partial match(1): FHUSF-FFSF21-SFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45  # SAT001_MinMin_p005000_rr_RG with pid 16866 completed with status 0
% 0.16/0.45  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN 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: FHUPF-FFSF21-SFFFFFNN
% 0.16/0.45  # partial match(1): FHUSF-FFSF21-SFFFFFNN
% 0.16/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45  # Preprocessing time       : 0.001 s
% 0.16/0.45  # Presaturation interreduction done
% 0.16/0.45  
% 0.16/0.45  # Proof found!
% 0.16/0.45  # SZS status Theorem
% 0.16/0.45  # SZS output start CNFRefutation
% See solution above
% 0.16/0.45  # Parsed axioms                        : 5
% 0.16/0.45  # Removed by relevancy pruning/SinE    : 2
% 0.16/0.45  # Initial clauses                      : 4
% 0.16/0.45  # Removed in clause preprocessing      : 0
% 0.16/0.45  # Initial clauses in saturation        : 4
% 0.16/0.45  # Processed clauses                    : 18
% 0.16/0.45  # ...of these trivial                  : 0
% 0.16/0.45  # ...subsumed                          : 4
% 0.16/0.45  # ...remaining for further processing  : 14
% 0.16/0.45  # Other redundant clauses eliminated   : 0
% 0.16/0.45  # Clauses deleted for lack of memory   : 0
% 0.16/0.45  # Backward-subsumed                    : 0
% 0.16/0.45  # Backward-rewritten                   : 2
% 0.16/0.45  # Generated clauses                    : 17
% 0.16/0.45  # ...of the previous two non-redundant : 15
% 0.16/0.45  # ...aggressively subsumed             : 0
% 0.16/0.45  # Contextual simplify-reflections      : 0
% 0.16/0.45  # Paramodulations                      : 14
% 0.16/0.45  # Factorizations                       : 0
% 0.16/0.45  # NegExts                              : 0
% 0.16/0.45  # Equation resolutions                 : 3
% 0.16/0.45  # Total rewrite steps                  : 2
% 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  : 8
% 0.16/0.45  #    Positive orientable unit clauses  : 2
% 0.16/0.45  #    Positive unorientable unit clauses: 1
% 0.16/0.45  #    Negative unit clauses             : 1
% 0.16/0.45  #    Non-unit-clauses                  : 4
% 0.16/0.45  # Current number of unprocessed clauses: 2
% 0.16/0.45  # ...number of literals in the above   : 4
% 0.16/0.45  # Current number of archived formulas  : 0
% 0.16/0.45  # Current number of archived clauses   : 6
% 0.16/0.45  # Clause-clause subsumption calls (NU) : 10
% 0.16/0.45  # Rec. Clause-clause subsumption calls : 10
% 0.16/0.45  # Non-unit clause-clause subsumptions  : 4
% 0.16/0.45  # Unit Clause-clause subsumption calls : 0
% 0.16/0.45  # Rewrite failures with RHS unbound    : 0
% 0.16/0.45  # BW rewrite match attempts            : 7
% 0.16/0.45  # BW rewrite match successes           : 7
% 0.16/0.45  # Condensation attempts                : 0
% 0.16/0.45  # Condensation successes               : 0
% 0.16/0.45  # Termbank termtop insertions          : 258
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.003 s
% 0.16/0.45  # System time              : 0.001 s
% 0.16/0.45  # Total time               : 0.004 s
% 0.16/0.45  # Maximum resident set size: 1780 pages
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.004 s
% 0.16/0.45  # System time              : 0.002 s
% 0.16/0.45  # Total time               : 0.006 s
% 0.16/0.45  # Maximum resident set size: 1668 pages
% 0.16/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------