TSTP Solution File: SEU161+2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEU161+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 19:30:40 EDT 2023

% Result   : Theorem 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   15 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   5   ~;   2   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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; 0-2 aty)
%            Number of variables   :   10 (   0 sgn;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t46_zfmisc_1,conjecture,
    ! [X1,X2] :
      ( in(X1,X2)
     => set_union2(singleton(X1),X2) = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.UJxMbSIGhq/E---3.1_11616.p',t46_zfmisc_1) ).

fof(l23_zfmisc_1,lemma,
    ! [X1,X2] :
      ( in(X1,X2)
     => set_union2(singleton(X1),X2) = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.UJxMbSIGhq/E---3.1_11616.p',l23_zfmisc_1) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2] :
        ( in(X1,X2)
       => set_union2(singleton(X1),X2) = X2 ),
    inference(assume_negation,[status(cth)],[t46_zfmisc_1]) ).

fof(c_0_3,lemma,
    ! [X21,X22] :
      ( ~ in(X21,X22)
      | set_union2(singleton(X21),X22) = X22 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l23_zfmisc_1])]) ).

fof(c_0_4,negated_conjecture,
    ( in(esk1_0,esk2_0)
    & set_union2(singleton(esk1_0),esk2_0) != esk2_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_5,lemma,
    ( set_union2(singleton(X1),X2) = X2
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    in(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    set_union2(singleton(esk1_0),esk2_0) != esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SEU161+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n022.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 09:05:54 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  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.UJxMbSIGhq/E---3.1_11616.p
% 0.17/0.45  # Version: 3.1pre001
% 0.17/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting sh5l with 300s (1) cores
% 0.17/0.45  # new_bool_3 with pid 11694 completed with status 0
% 0.17/0.45  # Result found by new_bool_3
% 0.17/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGHSM-FFMF32-SFFFFFNN
% 0.17/0.45  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 163s (1) cores
% 0.17/0.45  # G-E--_300_C01_F1_SE_CS_SP_S0Y with pid 11697 completed with status 0
% 0.17/0.45  # Result found by G-E--_300_C01_F1_SE_CS_SP_S0Y
% 0.17/0.45  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGHSM-FFMF32-SFFFFFNN
% 0.17/0.45  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 163s (1) cores
% 0.17/0.45  # Preprocessing time       : 0.002 s
% 0.17/0.45  
% 0.17/0.45  # Proof found!
% 0.17/0.45  # SZS status Theorem
% 0.17/0.45  # SZS output start CNFRefutation
% See solution above
% 0.17/0.45  # Parsed axioms                        : 91
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 44
% 0.17/0.45  # Initial clauses                      : 82
% 0.17/0.45  # Removed in clause preprocessing      : 0
% 0.17/0.45  # Initial clauses in saturation        : 82
% 0.17/0.45  # Processed clauses                    : 14
% 0.17/0.45  # ...of these trivial                  : 0
% 0.17/0.45  # ...subsumed                          : 0
% 0.17/0.45  # ...remaining for further processing  : 14
% 0.17/0.45  # Other redundant clauses eliminated   : 1
% 0.17/0.45  # Clauses deleted for lack of memory   : 0
% 0.17/0.45  # Backward-subsumed                    : 0
% 0.17/0.45  # Backward-rewritten                   : 0
% 0.17/0.45  # Generated clauses                    : 3
% 0.17/0.45  # ...of the previous two non-redundant : 2
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 0
% 0.17/0.45  # Paramodulations                      : 2
% 0.17/0.45  # Factorizations                       : 0
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 1
% 0.17/0.45  # Total rewrite steps                  : 0
% 0.17/0.45  # Propositional unsat checks           : 0
% 0.17/0.45  #    Propositional check models        : 0
% 0.17/0.45  #    Propositional check unsatisfiable : 0
% 0.17/0.45  #    Propositional clauses             : 0
% 0.17/0.45  #    Propositional clauses after purity: 0
% 0.17/0.45  #    Propositional unsat core size     : 0
% 0.17/0.45  #    Propositional preprocessing time  : 0.000
% 0.17/0.45  #    Propositional encoding time       : 0.000
% 0.17/0.45  #    Propositional solver time         : 0.000
% 0.17/0.45  #    Success case prop preproc time    : 0.000
% 0.17/0.45  #    Success case prop encoding time   : 0.000
% 0.17/0.45  #    Success case prop solver time     : 0.000
% 0.17/0.45  # Current number of processed clauses  : 13
% 0.17/0.45  #    Positive orientable unit clauses  : 8
% 0.17/0.45  #    Positive unorientable unit clauses: 0
% 0.17/0.45  #    Negative unit clauses             : 3
% 0.17/0.45  #    Non-unit-clauses                  : 2
% 0.17/0.45  # Current number of unprocessed clauses: 70
% 0.17/0.45  # ...number of literals in the above   : 169
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 0
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 0
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 0
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.45  # Unit Clause-clause subsumption calls : 0
% 0.17/0.45  # Rewrite failures with RHS unbound    : 0
% 0.17/0.45  # BW rewrite match attempts            : 3
% 0.17/0.45  # BW rewrite match successes           : 0
% 0.17/0.45  # Condensation attempts                : 0
% 0.17/0.45  # Condensation successes               : 0
% 0.17/0.45  # Termbank termtop insertions          : 4084
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.005 s
% 0.17/0.45  # System time              : 0.002 s
% 0.17/0.45  # Total time               : 0.007 s
% 0.17/0.45  # Maximum resident set size: 1920 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.006 s
% 0.17/0.45  # System time              : 0.005 s
% 0.17/0.45  # Total time               : 0.011 s
% 0.17/0.45  # Maximum resident set size: 1756 pages
% 0.17/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------