TSTP Solution File: SWV161+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV161+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 05:33:30 EDT 2024

% Result   : Theorem 0.18s 0.51s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   60 (  18 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   57 (  16   ~;  13   |;  19   &)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   22 (   0 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_norm_0011,conjecture,
    ( ( sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1
      & leq(n0,pv10)
      & leq(pv10,n135299)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,pred(pv10)) )
         => sum(n0,n4,a_select3(q,X14,tptp_sum_index)) = n1 ) )
   => ! [X18] :
        ( ( leq(n0,X18)
          & leq(X18,pv10) )
       => sum(n0,n4,a_select3(q,X18,tptp_sum_index)) = n1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0011) ).

fof(leq_gt2,axiom,
    ! [X1,X2] :
      ( ( leq(X1,X2)
        & X1 != X2 )
     => gt(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).

fof(leq_gt_pred,axiom,
    ! [X1,X2] :
      ( leq(X1,pred(X2))
    <=> gt(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).

fof(c_0_3,negated_conjecture,
    ~ ( ( sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1
        & leq(n0,pv10)
        & leq(pv10,n135299)
        & ! [X14] :
            ( ( leq(n0,X14)
              & leq(X14,pred(pv10)) )
           => sum(n0,n4,a_select3(q,X14,tptp_sum_index)) = n1 ) )
     => ! [X18] :
          ( ( leq(n0,X18)
            & leq(X18,pv10) )
         => sum(n0,n4,a_select3(q,X18,tptp_sum_index)) = n1 ) ),
    inference(assume_negation,[status(cth)],[cl5_nebula_norm_0011]) ).

fof(c_0_4,plain,
    ! [X1,X2] :
      ( ( leq(X1,X2)
        & X1 != X2 )
     => gt(X2,X1) ),
    inference(fof_simplification,[status(thm)],[leq_gt2]) ).

fof(c_0_5,negated_conjecture,
    ! [X28] :
      ( sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1
      & leq(n0,pv10)
      & leq(pv10,n135299)
      & ( ~ leq(n0,X28)
        | ~ leq(X28,pred(pv10))
        | sum(n0,n4,a_select3(q,X28,tptp_sum_index)) = n1 )
      & leq(n0,esk1_0)
      & leq(esk1_0,pv10)
      & sum(n0,n4,a_select3(q,esk1_0,tptp_sum_index)) != n1 ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

fof(c_0_6,plain,
    ! [X55,X56] :
      ( ( ~ leq(X55,pred(X56))
        | gt(X56,X55) )
      & ( ~ gt(X56,X55)
        | leq(X55,pred(X56)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])])]) ).

fof(c_0_7,plain,
    ! [X45,X46] :
      ( ~ leq(X45,X46)
      | X45 = X46
      | gt(X46,X45) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_8,negated_conjecture,
    sum(n0,n4,a_select3(q,esk1_0,tptp_sum_index)) != n1,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ( sum(n0,n4,a_select3(q,X1,tptp_sum_index)) = n1
    | ~ leq(n0,X1)
    | ~ leq(X1,pred(pv10)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    leq(n0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,plain,
    ( leq(X2,pred(X1))
    | ~ gt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,plain,
    ( X1 = X2
    | gt(X2,X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    ~ leq(esk1_0,pred(pv10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_14,plain,
    ( X1 = X2
    | leq(X1,pred(X2))
    | ~ leq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    leq(esk1_0,pv10),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,negated_conjecture,
    esk1_0 = pv10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_17,negated_conjecture,
    sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) = n1,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_16]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV161+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n008.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    : 300
% 0.12/0.34  % DateTime   : Sun May 19 09:27:07 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.18/0.46  Running first-order model finding
% 0.18/0.46  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.18/0.51  # Version: 3.1.0
% 0.18/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.51  # Starting sh5l with 300s (1) cores
% 0.18/0.51  # new_bool_3 with pid 7829 completed with status 0
% 0.18/0.51  # Result found by new_bool_3
% 0.18/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.51  # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.18/0.51  # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.18/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.51  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.18/0.51  # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 7832 completed with status 0
% 0.18/0.51  # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.18/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.51  # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.18/0.51  # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.18/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.51  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.18/0.51  # Preprocessing time       : 0.002 s
% 0.18/0.51  
% 0.18/0.51  # Proof found!
% 0.18/0.51  # SZS status Theorem
% 0.18/0.51  # SZS output start CNFRefutation
% See solution above
% 0.18/0.51  # Parsed axioms                        : 92
% 0.18/0.51  # Removed by relevancy pruning/SinE    : 25
% 0.18/0.51  # Initial clauses                      : 76
% 0.18/0.51  # Removed in clause preprocessing      : 0
% 0.18/0.51  # Initial clauses in saturation        : 76
% 0.18/0.51  # Processed clauses                    : 622
% 0.18/0.51  # ...of these trivial                  : 26
% 0.18/0.51  # ...subsumed                          : 287
% 0.18/0.51  # ...remaining for further processing  : 309
% 0.18/0.51  # Other redundant clauses eliminated   : 0
% 0.18/0.51  # Clauses deleted for lack of memory   : 0
% 0.18/0.51  # Backward-subsumed                    : 0
% 0.18/0.51  # Backward-rewritten                   : 7
% 0.18/0.51  # Generated clauses                    : 1304
% 0.18/0.51  # ...of the previous two non-redundant : 1026
% 0.18/0.51  # ...aggressively subsumed             : 0
% 0.18/0.51  # Contextual simplify-reflections      : 0
% 0.18/0.51  # Paramodulations                      : 1302
% 0.18/0.51  # Factorizations                       : 2
% 0.18/0.51  # NegExts                              : 0
% 0.18/0.51  # Equation resolutions                 : 0
% 0.18/0.51  # Disequality decompositions           : 0
% 0.18/0.51  # Total rewrite steps                  : 852
% 0.18/0.51  # ...of those cached                   : 755
% 0.18/0.51  # Propositional unsat checks           : 0
% 0.18/0.51  #    Propositional check models        : 0
% 0.18/0.51  #    Propositional check unsatisfiable : 0
% 0.18/0.51  #    Propositional clauses             : 0
% 0.18/0.51  #    Propositional clauses after purity: 0
% 0.18/0.51  #    Propositional unsat core size     : 0
% 0.18/0.51  #    Propositional preprocessing time  : 0.000
% 0.18/0.51  #    Propositional encoding time       : 0.000
% 0.18/0.51  #    Propositional solver time         : 0.000
% 0.18/0.51  #    Success case prop preproc time    : 0.000
% 0.18/0.51  #    Success case prop encoding time   : 0.000
% 0.18/0.51  #    Success case prop solver time     : 0.000
% 0.18/0.51  # Current number of processed clauses  : 302
% 0.18/0.51  #    Positive orientable unit clauses  : 115
% 0.18/0.51  #    Positive unorientable unit clauses: 0
% 0.18/0.51  #    Negative unit clauses             : 108
% 0.18/0.51  #    Non-unit-clauses                  : 79
% 0.18/0.51  # Current number of unprocessed clauses: 477
% 0.18/0.51  # ...number of literals in the above   : 1115
% 0.18/0.51  # Current number of archived formulas  : 0
% 0.18/0.51  # Current number of archived clauses   : 7
% 0.18/0.51  # Clause-clause subsumption calls (NU) : 438
% 0.18/0.51  # Rec. Clause-clause subsumption calls : 353
% 0.18/0.51  # Non-unit clause-clause subsumptions  : 20
% 0.18/0.51  # Unit Clause-clause subsumption calls : 3149
% 0.18/0.51  # Rewrite failures with RHS unbound    : 0
% 0.18/0.51  # BW rewrite match attempts            : 48
% 0.18/0.51  # BW rewrite match successes           : 1
% 0.18/0.51  # Condensation attempts                : 0
% 0.18/0.51  # Condensation successes               : 0
% 0.18/0.51  # Termbank termtop insertions          : 15054
% 0.18/0.51  # Search garbage collected termcells   : 668
% 0.18/0.51  
% 0.18/0.51  # -------------------------------------------------
% 0.18/0.51  # User time                : 0.029 s
% 0.18/0.51  # System time              : 0.003 s
% 0.18/0.51  # Total time               : 0.033 s
% 0.18/0.51  # Maximum resident set size: 1920 pages
% 0.18/0.51  
% 0.18/0.51  # -------------------------------------------------
% 0.18/0.51  # User time                : 0.034 s
% 0.18/0.51  # System time              : 0.004 s
% 0.18/0.51  # Total time               : 0.038 s
% 0.18/0.51  # Maximum resident set size: 1820 pages
% 0.18/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------