TSTP Solution File: SWW297+1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SWW297+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 : Mon Jun 24 18:11:32 EDT 2024

% Result   : Theorem 1.07s 1.64s
% Output   : CNFRefutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  12   ~;   9   |;   3   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    ( ! [X298,X299] :
        ( v_fun1(X298,X299)
       => ! [X300] :
            ( c_Natural_Oevaln(v_com,X299,hAPP(c_Nat_OSuc,v_n),X300)
           => v_fun2(X298,X300) ) )
   => ! [X298,X299] :
        ( v_fun1(X298,X299)
       => ! [X300] :
            ( c_Natural_Oevaln(v_com,X299,v_n,X300)
           => v_fun2(X298,X300) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.A4VHYcSTWb/E---3.1_18954.p',conj_0) ).

fof(fact_evaln__Suc,axiom,
    ! [X4,X5,X6,X7] :
      ( c_Natural_Oevaln(X7,X6,X5,X4)
     => c_Natural_Oevaln(X7,X6,hAPP(c_Nat_OSuc,X5),X4) ),
    file('/export/starexec/sandbox/tmp/tmp.A4VHYcSTWb/E---3.1_18954.p',fact_evaln__Suc) ).

fof(c_0_2,negated_conjecture,
    ~ ( ! [X298,X299] :
          ( v_fun1(X298,X299)
         => ! [X300] :
              ( c_Natural_Oevaln(v_com,X299,hAPP(c_Nat_OSuc,v_n),X300)
             => v_fun2(X298,X300) ) )
     => ! [X298,X299] :
          ( v_fun1(X298,X299)
         => ! [X300] :
              ( c_Natural_Oevaln(v_com,X299,v_n,X300)
             => v_fun2(X298,X300) ) ) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_3,negated_conjecture,
    ! [X301,X302,X303] :
      ( ( ~ v_fun1(X301,X302)
        | ~ c_Natural_Oevaln(v_com,X302,hAPP(c_Nat_OSuc,v_n),X303)
        | v_fun2(X301,X303) )
      & v_fun1(esk1_0,esk2_0)
      & c_Natural_Oevaln(v_com,esk2_0,v_n,esk3_0)
      & ~ v_fun2(esk1_0,esk3_0) ),
    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_2])])])])]) ).

fof(c_0_4,plain,
    ! [X307,X308,X309,X310] :
      ( ~ c_Natural_Oevaln(X310,X309,X308,X307)
      | c_Natural_Oevaln(X310,X309,hAPP(c_Nat_OSuc,X308),X307) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_evaln__Suc])])]) ).

cnf(c_0_5,negated_conjecture,
    ( v_fun2(X1,X3)
    | ~ v_fun1(X1,X2)
    | ~ c_Natural_Oevaln(v_com,X2,hAPP(c_Nat_OSuc,v_n),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( c_Natural_Oevaln(X1,X2,hAPP(c_Nat_OSuc,X3),X4)
    | ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( v_fun2(X1,X2)
    | ~ v_fun1(X1,X3)
    | ~ c_Natural_Oevaln(v_com,X3,v_n,X2) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    c_Natural_Oevaln(v_com,esk2_0,v_n,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    ~ v_fun2(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,negated_conjecture,
    ( v_fun2(X1,esk3_0)
    | ~ v_fun1(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    v_fun1(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW297+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12  % Command    : run_E %s %d THM
% 0.14/0.33  % Computer : n024.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Wed Jun 19 06:14:09 EDT 2024
% 0.14/0.33  % CPUTime    : 
% 1.07/1.21  Running first-order theorem proving
% 1.07/1.21  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.A4VHYcSTWb/E---3.1_18954.p
% 1.07/1.64  # Version: 3.2.0
% 1.07/1.64  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.07/1.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/1.64  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.07/1.64  # Starting new_bool_3 with 300s (1) cores
% 1.07/1.64  # Starting new_bool_1 with 300s (1) cores
% 1.07/1.64  # Starting sh5l with 300s (1) cores
% 1.07/1.64  # new_bool_3 with pid 19033 completed with status 0
% 1.07/1.64  # Result found by new_bool_3
% 1.07/1.64  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.07/1.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/1.64  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.07/1.64  # Starting new_bool_3 with 300s (1) cores
% 1.07/1.64  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.07/1.64  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.07/1.64  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.07/1.64  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 1.07/1.64  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 19039 completed with status 0
% 1.07/1.64  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 1.07/1.64  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.07/1.64  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/1.64  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.07/1.64  # Starting new_bool_3 with 300s (1) cores
% 1.07/1.64  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.07/1.64  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.07/1.64  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.07/1.64  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 1.07/1.64  # Preprocessing time       : 0.016 s
% 1.07/1.64  
% 1.07/1.64  # Proof found!
% 1.07/1.64  # SZS status Theorem
% 1.07/1.64  # SZS output start CNFRefutation
% See solution above
% 1.07/1.64  # Parsed axioms                        : 5225
% 1.07/1.64  # Removed by relevancy pruning/SinE    : 4683
% 1.07/1.64  # Initial clauses                      : 835
% 1.07/1.64  # Removed in clause preprocessing      : 43
% 1.07/1.64  # Initial clauses in saturation        : 792
% 1.07/1.64  # Processed clauses                    : 805
% 1.07/1.64  # ...of these trivial                  : 25
% 1.07/1.64  # ...subsumed                          : 180
% 1.07/1.64  # ...remaining for further processing  : 600
% 1.07/1.64  # Other redundant clauses eliminated   : 95
% 1.07/1.64  # Clauses deleted for lack of memory   : 0
% 1.07/1.64  # Backward-subsumed                    : 4
% 1.07/1.64  # Backward-rewritten                   : 10
% 1.07/1.64  # Generated clauses                    : 11265
% 1.07/1.64  # ...of the previous two non-redundant : 9927
% 1.07/1.64  # ...aggressively subsumed             : 0
% 1.07/1.64  # Contextual simplify-reflections      : 4
% 1.07/1.64  # Paramodulations                      : 11129
% 1.07/1.64  # Factorizations                       : 8
% 1.07/1.64  # NegExts                              : 0
% 1.07/1.64  # Equation resolutions                 : 129
% 1.07/1.64  # Disequality decompositions           : 0
% 1.07/1.64  # Total rewrite steps                  : 4135
% 1.07/1.64  # ...of those cached                   : 3143
% 1.07/1.64  # Propositional unsat checks           : 0
% 1.07/1.64  #    Propositional check models        : 0
% 1.07/1.64  #    Propositional check unsatisfiable : 0
% 1.07/1.64  #    Propositional clauses             : 0
% 1.07/1.64  #    Propositional clauses after purity: 0
% 1.07/1.64  #    Propositional unsat core size     : 0
% 1.07/1.64  #    Propositional preprocessing time  : 0.000
% 1.07/1.64  #    Propositional encoding time       : 0.000
% 1.07/1.64  #    Propositional solver time         : 0.000
% 1.07/1.64  #    Success case prop preproc time    : 0.000
% 1.07/1.64  #    Success case prop encoding time   : 0.000
% 1.07/1.64  #    Success case prop solver time     : 0.000
% 1.07/1.64  # Current number of processed clauses  : 559
% 1.07/1.64  #    Positive orientable unit clauses  : 111
% 1.07/1.64  #    Positive unorientable unit clauses: 12
% 1.07/1.64  #    Negative unit clauses             : 27
% 1.07/1.64  #    Non-unit-clauses                  : 409
% 1.07/1.64  # Current number of unprocessed clauses: 9905
% 1.07/1.64  # ...number of literals in the above   : 29666
% 1.07/1.64  # Current number of archived formulas  : 0
% 1.07/1.64  # Current number of archived clauses   : 14
% 1.07/1.64  # Clause-clause subsumption calls (NU) : 35671
% 1.07/1.64  # Rec. Clause-clause subsumption calls : 27676
% 1.07/1.64  # Non-unit clause-clause subsumptions  : 154
% 1.07/1.64  # Unit Clause-clause subsumption calls : 287
% 1.07/1.64  # Rewrite failures with RHS unbound    : 16
% 1.07/1.64  # BW rewrite match attempts            : 1204
% 1.07/1.64  # BW rewrite match successes           : 76
% 1.07/1.64  # Condensation attempts                : 0
% 1.07/1.64  # Condensation successes               : 0
% 1.07/1.64  # Termbank termtop insertions          : 542016
% 1.07/1.64  # Search garbage collected termcells   : 55092
% 1.07/1.64  
% 1.07/1.64  # -------------------------------------------------
% 1.07/1.64  # User time                : 0.269 s
% 1.07/1.64  # System time              : 0.028 s
% 1.07/1.64  # Total time               : 0.297 s
% 1.07/1.64  # Maximum resident set size: 11324 pages
% 1.07/1.64  
% 1.07/1.64  # -------------------------------------------------
% 1.07/1.64  # User time                : 0.382 s
% 1.07/1.64  # System time              : 0.032 s
% 1.07/1.64  # Total time               : 0.414 s
% 1.07/1.64  # Maximum resident set size: 9464 pages
% 1.07/1.64  % E---3.1 exiting
% 1.07/1.64  % E exiting
%------------------------------------------------------------------------------