TSTP Solution File: SWV131+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV131+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 : Tue May 21 05:21:14 EDT 2024

% Result   : Theorem 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% 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_0001,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(n0,s_best7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0001) ).

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(n0,s_best7) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[gauss_array_0001])]),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_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_5,negated_conjecture,
    ( epred1_0
    & ~ leq(n0,s_best7) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_6,plain,
    ( ~ leq(tptp_float_0_001,pv1341)
    | ~ epred1_0 ),
    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(tptp_float_0_001,pv1341)
    | leq(n0,s_best7)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ~ leq(n0,s_best7),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    ~ leq(tptp_float_0_001,pv1341),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

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
% 0.12/0.12  % Problem    : SWV131+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 08:28:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51  # Version: 3.1.0
% 0.21/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # new_bool_3 with pid 2137 completed with status 0
% 0.21/0.51  # Result found by new_bool_3
% 0.21/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51  # Search class: FGHSM-FFMM21-MFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.21/0.51  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 2140 completed with status 0
% 0.21/0.51  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.21/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51  # Search class: FGHSM-FFMM21-MFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.002 s
% 0.21/0.51  # Presaturation interreduction done
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Theorem
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 85
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 29
% 0.21/0.51  # Initial clauses                      : 72
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 72
% 0.21/0.51  # Processed clauses                    : 27
% 0.21/0.51  # ...of these trivial                  : 0
% 0.21/0.51  # ...subsumed                          : 3
% 0.21/0.51  # ...remaining for further processing  : 23
% 0.21/0.51  # Other redundant clauses eliminated   : 0
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 0
% 0.21/0.51  # Backward-rewritten                   : 0
% 0.21/0.51  # Generated clauses                    : 0
% 0.21/0.51  # ...of the previous two non-redundant : 0
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 0
% 0.21/0.51  # Paramodulations                      : 0
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 0
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 7
% 0.21/0.51  # ...of those cached                   : 5
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 23
% 0.21/0.51  #    Positive orientable unit clauses  : 17
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 4
% 0.21/0.51  #    Non-unit-clauses                  : 2
% 0.21/0.51  # Current number of unprocessed clauses: 45
% 0.21/0.51  # ...number of literals in the above   : 98
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 0
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 0
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 0
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 0
% 0.21/0.51  # Unit Clause-clause subsumption calls : 2
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 2
% 0.21/0.51  # BW rewrite match successes           : 0
% 0.21/0.51  # Condensation attempts                : 0
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 3684
% 0.21/0.51  # Search garbage collected termcells   : 633
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.006 s
% 0.21/0.51  # System time              : 0.000 s
% 0.21/0.51  # Total time               : 0.006 s
% 0.21/0.51  # Maximum resident set size: 1924 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.010 s
% 0.21/0.51  # System time              : 0.001 s
% 0.21/0.51  # Total time               : 0.011 s
% 0.21/0.51  # Maximum resident set size: 1824 pages
% 0.21/0.51  % E---3.1 exiting
% 0.21/0.51  % E exiting
%------------------------------------------------------------------------------