TSTP Solution File: SWV134+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV134+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 19:56:10 EDT 2023

% Result   : Theorem 0.14s 0.41s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   56 (  13   ~;   7   |;  32   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 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_0004,conjecture,
    ( ( ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
      & 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(a_select2(s_values7,pv1325),a_select2(s_values7,s_sworst7)) )
   => leq(n0,pv1325) ),
    file('/export/starexec/sandbox2/tmp/tmp.VgDFz1yrBY/E---3.1_6687.p',gauss_array_0004) ).

fof(transitivity_leq,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & leq(X2,X3) )
     => leq(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.VgDFz1yrBY/E---3.1_6687.p',transitivity_leq) ).

fof(leq_gt1,axiom,
    ! [X1,X2] :
      ( gt(X2,X1)
     => leq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.VgDFz1yrBY/E---3.1_6687.p',leq_gt1) ).

fof(gt_2_0,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox2/tmp/tmp.VgDFz1yrBY/E---3.1_6687.p',gt_2_0) ).

fof(c_0_4,negated_conjecture,
    ~ ( ( ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
        & 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(a_select2(s_values7,pv1325),a_select2(s_values7,s_sworst7)) )
     => leq(n0,pv1325) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[gauss_array_0004])]) ).

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

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

fof(c_0_7,plain,
    ! [X32,X33] :
      ( ~ gt(X33,X32)
      | leq(X32,X33) ),
    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
% 0.00/0.09  % Problem    : SWV134+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.09  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n031.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 2400
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Oct  3 04:59:13 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.14/0.39  Running first-order model finding
% 0.14/0.39  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.VgDFz1yrBY/E---3.1_6687.p
% 0.14/0.41  # Version: 3.1pre001
% 0.14/0.41  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # Starting sh5l with 300s (1) cores
% 0.14/0.41  # new_bool_1 with pid 6766 completed with status 0
% 0.14/0.41  # Result found by new_bool_1
% 0.14/0.41  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.41  # Search class: FGUSM-FFMM21-MFFFFFNN
% 0.14/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.41  # SAT001_MinMin_p005000_rr_RG with pid 6769 completed with status 0
% 0.14/0.41  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/0.41  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.41  # Search class: FGUSM-FFMM21-MFFFFFNN
% 0.14/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.41  # Preprocessing time       : 0.001 s
% 0.14/0.41  # Presaturation interreduction done
% 0.14/0.41  
% 0.14/0.41  # Proof found!
% 0.14/0.41  # SZS status Theorem
% 0.14/0.41  # SZS output start CNFRefutation
% See solution above
% 0.14/0.41  # Parsed axioms                        : 85
% 0.14/0.41  # Removed by relevancy pruning/SinE    : 29
% 0.14/0.41  # Initial clauses                      : 69
% 0.14/0.41  # Removed in clause preprocessing      : 0
% 0.14/0.41  # Initial clauses in saturation        : 69
% 0.14/0.41  # Processed clauses                    : 269
% 0.14/0.41  # ...of these trivial                  : 0
% 0.14/0.41  # ...subsumed                          : 56
% 0.14/0.41  # ...remaining for further processing  : 213
% 0.14/0.41  # Other redundant clauses eliminated   : 0
% 0.14/0.41  # Clauses deleted for lack of memory   : 0
% 0.14/0.41  # Backward-subsumed                    : 0
% 0.14/0.41  # Backward-rewritten                   : 0
% 0.14/0.41  # Generated clauses                    : 326
% 0.14/0.41  # ...of the previous two non-redundant : 235
% 0.14/0.41  # ...aggressively subsumed             : 0
% 0.14/0.41  # Contextual simplify-reflections      : 0
% 0.14/0.41  # Paramodulations                      : 326
% 0.14/0.41  # Factorizations                       : 0
% 0.14/0.41  # NegExts                              : 0
% 0.14/0.41  # Equation resolutions                 : 0
% 0.14/0.41  # Total rewrite steps                  : 251
% 0.14/0.41  # Propositional unsat checks           : 0
% 0.14/0.41  #    Propositional check models        : 0
% 0.14/0.41  #    Propositional check unsatisfiable : 0
% 0.14/0.41  #    Propositional clauses             : 0
% 0.14/0.41  #    Propositional clauses after purity: 0
% 0.14/0.41  #    Propositional unsat core size     : 0
% 0.14/0.41  #    Propositional preprocessing time  : 0.000
% 0.14/0.41  #    Propositional encoding time       : 0.000
% 0.14/0.41  #    Propositional solver time         : 0.000
% 0.14/0.41  #    Success case prop preproc time    : 0.000
% 0.14/0.41  #    Success case prop encoding time   : 0.000
% 0.14/0.41  #    Success case prop solver time     : 0.000
% 0.14/0.41  # Current number of processed clauses  : 144
% 0.14/0.41  #    Positive orientable unit clauses  : 71
% 0.14/0.41  #    Positive unorientable unit clauses: 0
% 0.14/0.41  #    Negative unit clauses             : 41
% 0.14/0.41  #    Non-unit-clauses                  : 32
% 0.14/0.41  # Current number of unprocessed clauses: 104
% 0.14/0.41  # ...number of literals in the above   : 241
% 0.14/0.41  # Current number of archived formulas  : 0
% 0.14/0.41  # Current number of archived clauses   : 69
% 0.14/0.41  # Clause-clause subsumption calls (NU) : 149
% 0.14/0.41  # Rec. Clause-clause subsumption calls : 99
% 0.14/0.41  # Non-unit clause-clause subsumptions  : 3
% 0.14/0.41  # Unit Clause-clause subsumption calls : 229
% 0.14/0.41  # Rewrite failures with RHS unbound    : 0
% 0.14/0.41  # BW rewrite match attempts            : 13
% 0.14/0.41  # BW rewrite match successes           : 0
% 0.14/0.41  # Condensation attempts                : 0
% 0.14/0.41  # Condensation successes               : 0
% 0.14/0.41  # Termbank termtop insertions          : 6215
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.009 s
% 0.14/0.41  # System time              : 0.003 s
% 0.14/0.41  # Total time               : 0.012 s
% 0.14/0.41  # Maximum resident set size: 1908 pages
% 0.14/0.41  
% 0.14/0.41  # -------------------------------------------------
% 0.14/0.41  # User time                : 0.012 s
% 0.14/0.41  # System time              : 0.004 s
% 0.14/0.41  # Total time               : 0.016 s
% 0.14/0.41  # Maximum resident set size: 1788 pages
% 0.14/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------