TSTP Solution File: SWV132+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV132+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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  : 600s
% DateTime : Wed Jul 20 18:15:19 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :  129 (   0 equ)
%            Maximal formula atoms :   38 (  10 avg)
%            Number of connectives :  165 (  48   ~;  28   |;  49   &)
%                                         (   1 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_array_0002,conjecture,
    ( ( ~ leq(tptp_float_0_001,pv1341)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) ) )
   => leq(s_best7,n3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gauss_array_0002) ).

fof(c_0_1,plain,
    ( epred1_0
  <=> ( ~ leq(tptp_float_0_001,pv1341)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( epred1_0
   => ( ~ leq(tptp_float_0_001,pv1341)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ( epred1_0
     => leq(s_best7,n3) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[gauss_array_0002]),c_0_1]) ).

fof(c_0_4,plain,
    ( ( ~ leq(tptp_float_0_001,pv1341)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_best7)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_sworst7)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_worst7)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_sworst7,n3)
      | ~ epred1_0 )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_best7)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_worst7)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(s_best7,n3)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(s_sworst7,n3)
      | ~ epred1_0 )
    & ( ~ gt(loopcounter,n0)
      | leq(s_worst7,n3)
      | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])]) ).

fof(c_0_5,negated_conjecture,
    ( epred1_0
    & ~ leq(s_best7,n3) ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( ~ epred1_0
    | ~ leq(tptp_float_0_001,pv1341) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( leq(s_best7,n3)
    | leq(tptp_float_0_001,pv1341)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    ~ leq(tptp_float_0_001,pv1341),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_10,negated_conjecture,
    ~ leq(s_best7,n3),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]),c_0_9]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV132+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 05:26:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.018 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 12
% 0.24/1.42  # Proof object clause steps            : 6
% 0.24/1.42  # Proof object formula steps           : 6
% 0.24/1.42  # Proof object conjectures             : 5
% 0.24/1.42  # Proof object clause conjectures      : 2
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 4
% 0.24/1.42  # Proof object initial formulas used   : 1
% 0.24/1.42  # Proof object generating inferences   : 0
% 0.24/1.42  # Proof object simplifying inferences  : 6
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 85
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 29
% 0.24/1.42  # Initial clauses                      : 72
% 0.24/1.42  # Removed in clause preprocessing      : 1
% 0.24/1.42  # Initial clauses in saturation        : 71
% 0.24/1.42  # Processed clauses                    : 7
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 0
% 0.24/1.42  # ...remaining for further processing  : 6
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 0
% 0.24/1.42  # Generated clauses                    : 0
% 0.24/1.42  # ...of the previous two non-trivial   : 0
% 0.24/1.42  # Contextual simplify-reflections      : 0
% 0.24/1.42  # Paramodulations                      : 0
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 6
% 0.24/1.42  #    Positive orientable unit clauses  : 3
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 3
% 0.24/1.42  #    Non-unit-clauses                  : 0
% 0.24/1.42  # Current number of unprocessed clauses: 64
% 0.24/1.42  # ...number of literals in the above   : 128
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 1
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 0
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 0
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.24/1.42  # Unit Clause-clause subsumption calls : 1
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 0
% 0.24/1.42  # BW rewrite match successes           : 0
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 3657
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.013 s
% 0.24/1.42  # System time              : 0.005 s
% 0.24/1.42  # Total time               : 0.018 s
% 0.24/1.42  # Maximum resident set size: 2920 pages
%------------------------------------------------------------------------------