TSTP Solution File: NUN088+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUN088+3 : TPTP v8.1.2. Released v7.3.0.
% 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 19:09:30 EDT 2023

% Result   : Theorem 0.18s 0.48s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   28 (   8 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   36 (  21   ~;  13   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   18 (   2 sgn;  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_7a,axiom,
    ! [X41,X42] :
      ( ! [X43] :
          ( ~ r1(X43)
          | X43 != X42 )
      | ~ r2(X41,X42) ),
    file('/export/starexec/sandbox2/tmp/tmp.uhxXQIAyed/E---3.1_10051.p',axiom_7a) ).

fof(zerouneqone2,conjecture,
    ! [X44] :
      ( ! [X39] :
          ( X44 != X39
          | ~ r2(X44,X39) )
      | ~ r1(X44) ),
    file('/export/starexec/sandbox2/tmp/tmp.uhxXQIAyed/E---3.1_10051.p',zerouneqone2) ).

fof(c_0_2,plain,
    ! [X41,X42] :
      ( ! [X43] :
          ( ~ r1(X43)
          | X43 != X42 )
      | ~ r2(X41,X42) ),
    inference(fof_simplification,[status(thm)],[axiom_7a]) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X44] :
        ( ! [X39] :
            ( X44 != X39
            | ~ r2(X44,X39) )
        | ~ r1(X44) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[zerouneqone2])]) ).

fof(c_0_4,plain,
    ! [X85,X86,X87] :
      ( ~ r1(X87)
      | X87 != X86
      | ~ r2(X85,X86) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_2])]) ).

fof(c_0_5,negated_conjecture,
    ( esk21_0 = esk22_0
    & r2(esk21_0,esk22_0)
    & r1(esk21_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_6,plain,
    ( ~ r1(X1)
    | X1 != X2
    | ~ r2(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    r2(esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    esk21_0 = esk22_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X2) ),
    inference(er,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    r2(esk21_0,esk21_0),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    r1(esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : NUN088+3 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Oct  2 20:19:56 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  Running first-order model finding
% 0.18/0.46  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.uhxXQIAyed/E---3.1_10051.p
% 0.18/0.48  # Version: 3.1pre001
% 0.18/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.48  # Starting sh5l with 300s (1) cores
% 0.18/0.48  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 10186 completed with status 0
% 0.18/0.48  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48  # No SInE strategy applied
% 0.18/0.48  # Search class: FGHSM-FFSS21-SFFFFFNN
% 0.18/0.48  # partial match(1): FGHSF-FFSS21-SFFFFFNN
% 0.18/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.18/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.48  # Starting new_bool_3 with 136s (1) cores
% 0.18/0.48  # Starting new_bool_1 with 136s (1) cores
% 0.18/0.48  # Starting sh5l with 136s (1) cores
% 0.18/0.48  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 10191 completed with status 0
% 0.18/0.48  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48  # No SInE strategy applied
% 0.18/0.48  # Search class: FGHSM-FFSS21-SFFFFFNN
% 0.18/0.48  # partial match(1): FGHSF-FFSS21-SFFFFFNN
% 0.18/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.18/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.48  # Preprocessing time       : 0.001 s
% 0.18/0.48  # Presaturation interreduction done
% 0.18/0.48  
% 0.18/0.48  # Proof found!
% 0.18/0.48  # SZS status Theorem
% 0.18/0.48  # SZS output start CNFRefutation
% See solution above
% 0.18/0.48  # Parsed axioms                        : 12
% 0.18/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.48  # Initial clauses                      : 42
% 0.18/0.48  # Removed in clause preprocessing      : 12
% 0.18/0.48  # Initial clauses in saturation        : 30
% 0.18/0.48  # Processed clauses                    : 41
% 0.18/0.48  # ...of these trivial                  : 0
% 0.18/0.48  # ...subsumed                          : 0
% 0.18/0.48  # ...remaining for further processing  : 41
% 0.18/0.48  # Other redundant clauses eliminated   : 6
% 0.18/0.48  # Clauses deleted for lack of memory   : 0
% 0.18/0.48  # Backward-subsumed                    : 0
% 0.18/0.48  # Backward-rewritten                   : 0
% 0.18/0.48  # Generated clauses                    : 7
% 0.18/0.48  # ...of the previous two non-redundant : 6
% 0.18/0.48  # ...aggressively subsumed             : 0
% 0.18/0.48  # Contextual simplify-reflections      : 0
% 0.18/0.48  # Paramodulations                      : 1
% 0.18/0.48  # Factorizations                       : 0
% 0.18/0.48  # NegExts                              : 0
% 0.18/0.48  # Equation resolutions                 : 6
% 0.18/0.48  # Total rewrite steps                  : 2
% 0.18/0.48  # Propositional unsat checks           : 0
% 0.18/0.48  #    Propositional check models        : 0
% 0.18/0.48  #    Propositional check unsatisfiable : 0
% 0.18/0.48  #    Propositional clauses             : 0
% 0.18/0.48  #    Propositional clauses after purity: 0
% 0.18/0.48  #    Propositional unsat core size     : 0
% 0.18/0.48  #    Propositional preprocessing time  : 0.000
% 0.18/0.48  #    Propositional encoding time       : 0.000
% 0.18/0.48  #    Propositional solver time         : 0.000
% 0.18/0.48  #    Success case prop preproc time    : 0.000
% 0.18/0.48  #    Success case prop encoding time   : 0.000
% 0.18/0.48  #    Success case prop solver time     : 0.000
% 0.18/0.48  # Current number of processed clauses  : 5
% 0.18/0.48  #    Positive orientable unit clauses  : 4
% 0.18/0.48  #    Positive unorientable unit clauses: 0
% 0.18/0.48  #    Negative unit clauses             : 0
% 0.18/0.48  #    Non-unit-clauses                  : 1
% 0.18/0.48  # Current number of unprocessed clauses: 25
% 0.18/0.48  # ...number of literals in the above   : 35
% 0.18/0.48  # Current number of archived formulas  : 0
% 0.18/0.48  # Current number of archived clauses   : 34
% 0.18/0.48  # Clause-clause subsumption calls (NU) : 12
% 0.18/0.48  # Rec. Clause-clause subsumption calls : 9
% 0.18/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.18/0.48  # Unit Clause-clause subsumption calls : 0
% 0.18/0.48  # Rewrite failures with RHS unbound    : 0
% 0.18/0.48  # BW rewrite match attempts            : 5
% 0.18/0.48  # BW rewrite match successes           : 0
% 0.18/0.48  # Condensation attempts                : 0
% 0.18/0.48  # Condensation successes               : 0
% 0.18/0.48  # Termbank termtop insertions          : 1233
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.004 s
% 0.18/0.48  # System time              : 0.003 s
% 0.18/0.48  # Total time               : 0.007 s
% 0.18/0.48  # Maximum resident set size: 1844 pages
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.016 s
% 0.18/0.48  # System time              : 0.010 s
% 0.18/0.48  # Total time               : 0.026 s
% 0.18/0.48  # Maximum resident set size: 1716 pages
% 0.18/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------