TSTP Solution File: CSR004+2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CSR004+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:35:01 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   47 (  15 equ)
%            Maximal formula atoms :   25 (   3 avg)
%            Number of connectives :   53 (  19   ~;  23   |;  10   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :    7 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(happens_all_defn,axiom,
    ! [X4,X5] :
      ( happens(X4,X5)
    <=> ( ( X4 = tapOn
          & X5 = n0 )
        | ( holdsAt(waterLevel(n3),X5)
          & holdsAt(filling,X5)
          & X4 = overflow ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gIVy4hpAC0/E---3.1_16646.p',happens_all_defn) ).

fof(overflow_3,conjecture,
    happens(overflow,n3),
    file('/export/starexec/sandbox2/tmp/tmp.gIVy4hpAC0/E---3.1_16646.p',overflow_3) ).

fof(filling_3,lemma,
    holdsAt(filling,n3),
    file('/export/starexec/sandbox2/tmp/tmp.gIVy4hpAC0/E---3.1_16646.p',filling_3) ).

fof(waterLevel_3,lemma,
    holdsAt(waterLevel(n3),n3),
    file('/export/starexec/sandbox2/tmp/tmp.gIVy4hpAC0/E---3.1_16646.p',waterLevel_3) ).

fof(c_0_4,plain,
    ! [X42,X43] :
      ( ( holdsAt(waterLevel(n3),X43)
        | X42 = tapOn
        | ~ happens(X42,X43) )
      & ( holdsAt(filling,X43)
        | X42 = tapOn
        | ~ happens(X42,X43) )
      & ( X42 = overflow
        | X42 = tapOn
        | ~ happens(X42,X43) )
      & ( holdsAt(waterLevel(n3),X43)
        | X43 = n0
        | ~ happens(X42,X43) )
      & ( holdsAt(filling,X43)
        | X43 = n0
        | ~ happens(X42,X43) )
      & ( X42 = overflow
        | X43 = n0
        | ~ happens(X42,X43) )
      & ( X42 != tapOn
        | X43 != n0
        | happens(X42,X43) )
      & ( ~ holdsAt(waterLevel(n3),X43)
        | ~ holdsAt(filling,X43)
        | X42 != overflow
        | happens(X42,X43) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[happens_all_defn])])])]) ).

fof(c_0_5,negated_conjecture,
    ~ happens(overflow,n3),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[overflow_3])]) ).

cnf(c_0_6,plain,
    ( happens(X2,X1)
    | ~ holdsAt(waterLevel(n3),X1)
    | ~ holdsAt(filling,X1)
    | X2 != overflow ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_7,negated_conjecture,
    ~ happens(overflow,n3),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( happens(overflow,X1)
    | ~ holdsAt(waterLevel(n3),X1)
    | ~ holdsAt(filling,X1) ),
    inference(er,[status(thm)],[c_0_6]) ).

cnf(c_0_9,lemma,
    holdsAt(filling,n3),
    inference(split_conjunct,[status(thm)],[filling_3]) ).

cnf(c_0_10,lemma,
    holdsAt(waterLevel(n3),n3),
    inference(split_conjunct,[status(thm)],[waterLevel_3]) ).

cnf(c_0_11,negated_conjecture,
    ~ happens(overflow,n3),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,lemma,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR004+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 15:08:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  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.gIVy4hpAC0/E---3.1_16646.p
% 0.20/0.50  # Version: 3.1.0
% 0.20/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # new_bool_3 with pid 16724 completed with status 0
% 0.20/0.50  # Result found by new_bool_3
% 0.20/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.20/0.50  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with pid 16728 completed with status 0
% 0.20/0.50  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 0.20/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.002 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 57
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 18
% 0.20/0.50  # Initial clauses                      : 104
% 0.20/0.50  # Removed in clause preprocessing      : 1
% 0.20/0.50  # Initial clauses in saturation        : 103
% 0.20/0.50  # Processed clauses                    : 156
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 20
% 0.20/0.50  # ...remaining for further processing  : 136
% 0.20/0.50  # Other redundant clauses eliminated   : 17
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 0
% 0.20/0.50  # Backward-rewritten                   : 1
% 0.20/0.50  # Generated clauses                    : 15
% 0.20/0.50  # ...of the previous two non-redundant : 14
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 0
% 0.20/0.50  # Paramodulations                      : 4
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 18
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 2
% 0.20/0.50  # ...of those cached                   : 0
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 42
% 0.20/0.50  #    Positive orientable unit clauses  : 15
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 14
% 0.20/0.50  #    Non-unit-clauses                  : 13
% 0.20/0.50  # Current number of unprocessed clauses: 44
% 0.20/0.50  # ...number of literals in the above   : 155
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 84
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 455
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 197
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 20
% 0.20/0.50  # Unit Clause-clause subsumption calls : 67
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 16
% 0.20/0.50  # BW rewrite match successes           : 12
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 5135
% 0.20/0.50  # Search garbage collected termcells   : 1059
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.013 s
% 0.20/0.50  # System time              : 0.002 s
% 0.20/0.50  # Total time               : 0.015 s
% 0.20/0.50  # Maximum resident set size: 2056 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.014 s
% 0.20/0.50  # System time              : 0.005 s
% 0.20/0.50  # Total time               : 0.019 s
% 0.20/0.50  # Maximum resident set size: 1756 pages
% 0.20/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------