TSTP Solution File: SWV136+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV136+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 09:42:57 EDT 2024

% Result   : Theorem 0.21s 0.55s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   47 (  10   ~;   7   |;  26   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_array_0006,conjecture,
    ( ( leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(n2,pv1325)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & leq(pv1325,n3)
      & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) )
   => leq(n0,pv1325) ),
    file('/export/starexec/sandbox/tmp/tmp.hbo8dfWaDX/E---3.1_21160.p',gauss_array_0006) ).

fof(transitivity_leq,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & leq(X2,X3) )
     => leq(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.hbo8dfWaDX/E---3.1_21160.p',transitivity_leq) ).

fof(leq_gt1,axiom,
    ! [X1,X2] :
      ( gt(X2,X1)
     => leq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.hbo8dfWaDX/E---3.1_21160.p',leq_gt1) ).

fof(gt_2_0,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox/tmp/tmp.hbo8dfWaDX/E---3.1_21160.p',gt_2_0) ).

fof(c_0_4,negated_conjecture,
    ~ ( ( leq(n0,s_best7)
        & leq(n0,s_sworst7)
        & leq(n0,s_worst7)
        & leq(n2,pv1325)
        & leq(s_best7,n3)
        & leq(s_sworst7,n3)
        & leq(s_worst7,n3)
        & leq(pv1325,n3)
        & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) )
     => leq(n0,pv1325) ),
    inference(assume_negation,[status(cth)],[gauss_array_0006]) ).

fof(c_0_5,plain,
    ! [X29,X30,X31] :
      ( ~ leq(X29,X30)
      | ~ leq(X30,X31)
      | leq(X29,X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])])]) ).

fof(c_0_6,negated_conjecture,
    ( leq(n0,s_best7)
    & leq(n0,s_sworst7)
    & leq(n0,s_worst7)
    & leq(n2,pv1325)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv1325,n3)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & ~ leq(n0,pv1325) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

fof(c_0_7,plain,
    ! [X32,X33] :
      ( ~ gt(X33,X32)
      | leq(X32,X33) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])])]) ).

cnf(c_0_8,plain,
    ( leq(X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    leq(n2,pv1325),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( leq(X2,X1)
    | ~ gt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    gt(n2,n0),
    inference(split_conjunct,[status(thm)],[gt_2_0]) ).

cnf(c_0_12,negated_conjecture,
    ~ leq(n0,pv1325),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    ( leq(X1,pv1325)
    | ~ leq(X1,n2) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,plain,
    leq(n0,n2),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV136+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 16:51:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.21/0.51  Running first-order theorem proving
% 0.21/0.51  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/tmp/tmp.hbo8dfWaDX/E---3.1_21160.p
% 0.21/0.55  # Version: 3.1.0
% 0.21/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # Starting sh5l with 300s (1) cores
% 0.21/0.55  # new_bool_3 with pid 21248 completed with status 0
% 0.21/0.55  # Result found by new_bool_3
% 0.21/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55  # Search class: FGUSM-FFMM21-MFFFFFNN
% 0.21/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.55  # SAT001_MinMin_p005000_rr_RG with pid 21252 completed with status 0
% 0.21/0.55  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55  # Search class: FGUSM-FFMM21-MFFFFFNN
% 0.21/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.55  # Preprocessing time       : 0.002 s
% 0.21/0.55  # Presaturation interreduction done
% 0.21/0.55  
% 0.21/0.55  # Proof found!
% 0.21/0.55  # SZS status Theorem
% 0.21/0.55  # SZS output start CNFRefutation
% See solution above
% 0.21/0.55  # Parsed axioms                        : 85
% 0.21/0.55  # Removed by relevancy pruning/SinE    : 29
% 0.21/0.55  # Initial clauses                      : 67
% 0.21/0.55  # Removed in clause preprocessing      : 0
% 0.21/0.55  # Initial clauses in saturation        : 67
% 0.21/0.55  # Processed clauses                    : 293
% 0.21/0.55  # ...of these trivial                  : 0
% 0.21/0.55  # ...subsumed                          : 71
% 0.21/0.55  # ...remaining for further processing  : 222
% 0.21/0.55  # Other redundant clauses eliminated   : 0
% 0.21/0.55  # Clauses deleted for lack of memory   : 0
% 0.21/0.55  # Backward-subsumed                    : 0
% 0.21/0.55  # Backward-rewritten                   : 0
% 0.21/0.55  # Generated clauses                    : 390
% 0.21/0.55  # ...of the previous two non-redundant : 274
% 0.21/0.55  # ...aggressively subsumed             : 0
% 0.21/0.55  # Contextual simplify-reflections      : 0
% 0.21/0.55  # Paramodulations                      : 388
% 0.21/0.55  # Factorizations                       : 2
% 0.21/0.55  # NegExts                              : 0
% 0.21/0.55  # Equation resolutions                 : 0
% 0.21/0.55  # Disequality decompositions           : 0
% 0.21/0.55  # Total rewrite steps                  : 283
% 0.21/0.55  # ...of those cached                   : 244
% 0.21/0.55  # Propositional unsat checks           : 0
% 0.21/0.55  #    Propositional check models        : 0
% 0.21/0.55  #    Propositional check unsatisfiable : 0
% 0.21/0.55  #    Propositional clauses             : 0
% 0.21/0.55  #    Propositional clauses after purity: 0
% 0.21/0.55  #    Propositional unsat core size     : 0
% 0.21/0.55  #    Propositional preprocessing time  : 0.000
% 0.21/0.55  #    Propositional encoding time       : 0.000
% 0.21/0.55  #    Propositional solver time         : 0.000
% 0.21/0.55  #    Success case prop preproc time    : 0.000
% 0.21/0.55  #    Success case prop encoding time   : 0.000
% 0.21/0.55  #    Success case prop solver time     : 0.000
% 0.21/0.55  # Current number of processed clauses  : 155
% 0.21/0.55  #    Positive orientable unit clauses  : 70
% 0.21/0.55  #    Positive unorientable unit clauses: 0
% 0.21/0.55  #    Negative unit clauses             : 44
% 0.21/0.55  #    Non-unit-clauses                  : 41
% 0.21/0.55  # Current number of unprocessed clauses: 115
% 0.21/0.55  # ...number of literals in the above   : 292
% 0.21/0.55  # Current number of archived formulas  : 0
% 0.21/0.55  # Current number of archived clauses   : 67
% 0.21/0.55  # Clause-clause subsumption calls (NU) : 137
% 0.21/0.55  # Rec. Clause-clause subsumption calls : 93
% 0.21/0.55  # Non-unit clause-clause subsumptions  : 3
% 0.21/0.55  # Unit Clause-clause subsumption calls : 310
% 0.21/0.55  # Rewrite failures with RHS unbound    : 0
% 0.21/0.55  # BW rewrite match attempts            : 16
% 0.21/0.55  # BW rewrite match successes           : 0
% 0.21/0.55  # Condensation attempts                : 0
% 0.21/0.55  # Condensation successes               : 0
% 0.21/0.55  # Termbank termtop insertions          : 6849
% 0.21/0.55  # Search garbage collected termcells   : 632
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.018 s
% 0.21/0.55  # System time              : 0.004 s
% 0.21/0.55  # Total time               : 0.022 s
% 0.21/0.55  # Maximum resident set size: 1904 pages
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.020 s
% 0.21/0.55  # System time              : 0.008 s
% 0.21/0.55  # Total time               : 0.027 s
% 0.21/0.55  # Maximum resident set size: 1800 pages
% 0.21/0.55  % E---3.1 exiting
% 0.21/0.55  % E exiting
%------------------------------------------------------------------------------