TSTP Solution File: PUZ031_1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : PUZ031_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 02:25:56 EDT 2024

% Result   : Theorem 0.17s 0.44s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   54 (  26 unt;  18 typ;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   39 (  22   ~;  13   |;   3   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :   12 (  10   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   0 con; 1-1 aty)
%            Number of variables   :   81 (   0 sgn  73   !;   8   ?;  81   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    wolf: $tType ).

tff(decl_sort2,type,
    animal: $tType ).

tff(decl_sort3,type,
    fox: $tType ).

tff(decl_sort4,type,
    bird: $tType ).

tff(decl_sort5,type,
    snail: $tType ).

tff(decl_sort6,type,
    grain: $tType ).

tff(decl_sort7,type,
    plant: $tType ).

tff(decl_sort8,type,
    edible: $tType ).

tff(decl_22,type,
    wolf_to_animal: wolf > animal ).

tff(decl_23,type,
    fox_to_animal: fox > animal ).

tff(decl_24,type,
    bird_to_animal: bird > animal ).

tff(decl_26,type,
    snail_to_animal: snail > animal ).

tff(decl_27,type,
    grain_to_plant: grain > plant ).

tff(decl_28,type,
    animal_to_edible: animal > edible ).

tff(decl_29,type,
    plant_to_edible: plant > edible ).

tff(decl_30,type,
    eats: ( animal * edible ) > $o ).

tff(decl_31,type,
    much_smaller: ( animal * animal ) > $o ).

tff(decl_33,type,
    esk2_1: snail > plant ).

tff(pel47_7,axiom,
    ! [X1: animal] :
      ( ! [X2: plant] : eats(X1,plant_to_edible(X2))
      | ! [X3: animal] :
          ( ( much_smaller(X3,X1)
            & ? [X4: plant] : eats(X3,plant_to_edible(X4)) )
         => eats(X1,animal_to_edible(X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).

tff(pel47_14a,axiom,
    ! [X22: snail] :
    ? [X2: plant] : eats(snail_to_animal(X22),plant_to_edible(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).

tff(pel47_13,axiom,
    ! [X19: bird,X20: snail] : ~ eats(bird_to_animal(X19),animal_to_edible(snail_to_animal(X20))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).

tff(pel47,conjecture,
    ? [X1: animal,X23: animal,X24: grain] :
      ( eats(X23,plant_to_edible(grain_to_plant(X24)))
      & eats(X1,animal_to_edible(X23)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).

tff(pel47_8,axiom,
    ! [X5: snail,X6: bird] : much_smaller(snail_to_animal(X5),bird_to_animal(X6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).

tff(pel47_9,axiom,
    ! [X9: bird,X10: fox] : much_smaller(bird_to_animal(X9),fox_to_animal(X10)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).

tff(pel47_11a,axiom,
    ! [X15: wolf,X16: grain] : ~ eats(wolf_to_animal(X15),plant_to_edible(grain_to_plant(X16))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).

tff(pel47_10,axiom,
    ! [X11: fox,X12: wolf] : much_smaller(fox_to_animal(X11),wolf_to_animal(X12)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).

tff(c_0_8,plain,
    ! [X25: animal,X26: plant,X27: animal,X28: plant] :
      ( eats(X25,plant_to_edible(X26))
      | ~ much_smaller(X27,X25)
      | ~ eats(X27,plant_to_edible(X28))
      | eats(X25,animal_to_edible(X27)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_7])])])]) ).

tff(c_0_9,plain,
    ! [X47: snail] : eats(snail_to_animal(X47),plant_to_edible(esk2_1(X47))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_14a])]) ).

tff(c_0_10,plain,
    ! [X19: bird,X20: snail] : ~ eats(bird_to_animal(X19),animal_to_edible(snail_to_animal(X20))),
    inference(fof_simplification,[status(thm)],[pel47_13]) ).

tff(c_0_11,negated_conjecture,
    ~ ? [X1: animal,X23: animal,X24: grain] :
        ( eats(X23,plant_to_edible(grain_to_plant(X24)))
        & eats(X1,animal_to_edible(X23)) ),
    inference(assume_negation,[status(cth)],[pel47]) ).

tcf(c_0_12,plain,
    ! [X1: animal,X2: plant,X3: animal,X4: plant] :
      ( eats(X1,plant_to_edible(X2))
      | eats(X1,animal_to_edible(X3))
      | ~ much_smaller(X3,X1)
      | ~ eats(X3,plant_to_edible(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

tcf(c_0_13,plain,
    ! [X5: snail] : eats(snail_to_animal(X5),plant_to_edible(esk2_1(X5))),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

tff(c_0_14,plain,
    ! [X29: snail,X30: bird] : much_smaller(snail_to_animal(X29),bird_to_animal(X30)),
    inference(variable_rename,[status(thm)],[pel47_8]) ).

tff(c_0_15,plain,
    ! [X43: bird,X44: snail] : ~ eats(bird_to_animal(X43),animal_to_edible(snail_to_animal(X44))),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).

tff(c_0_16,negated_conjecture,
    ! [X49: animal,X50: animal,X51: grain] :
      ( ~ eats(X50,plant_to_edible(grain_to_plant(X51)))
      | ~ eats(X49,animal_to_edible(X50)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

tcf(c_0_17,plain,
    ! [X5: snail,X2: plant,X1: animal] :
      ( eats(X1,animal_to_edible(snail_to_animal(X5)))
      | eats(X1,plant_to_edible(X2))
      | ~ much_smaller(snail_to_animal(X5),X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

tcf(c_0_18,plain,
    ! [X5: snail,X6: bird] : much_smaller(snail_to_animal(X5),bird_to_animal(X6)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

tcf(c_0_19,plain,
    ! [X6: bird,X5: snail] : ~ eats(bird_to_animal(X6),animal_to_edible(snail_to_animal(X5))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

tcf(c_0_20,negated_conjecture,
    ! [X16: grain,X3: animal,X1: animal] :
      ( ~ eats(X1,plant_to_edible(grain_to_plant(X16)))
      | ~ eats(X3,animal_to_edible(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

tcf(c_0_21,plain,
    ! [X6: bird,X2: plant] : eats(bird_to_animal(X6),plant_to_edible(X2)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

tcf(c_0_22,negated_conjecture,
    ! [X1: animal,X6: bird] : ~ eats(X1,animal_to_edible(bird_to_animal(X6))),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

tff(c_0_23,plain,
    ! [X33: bird,X34: fox] : much_smaller(bird_to_animal(X33),fox_to_animal(X34)),
    inference(variable_rename,[status(thm)],[pel47_9]) ).

tcf(c_0_24,plain,
    ! [X6: bird,X2: plant,X1: animal] :
      ( eats(X1,plant_to_edible(X2))
      | ~ much_smaller(bird_to_animal(X6),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_22]) ).

tcf(c_0_25,plain,
    ! [X6: bird,X10: fox] : much_smaller(bird_to_animal(X6),fox_to_animal(X10)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

tcf(c_0_26,plain,
    ! [X10: fox,X2: plant] : eats(fox_to_animal(X10),plant_to_edible(X2)),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

tff(c_0_27,plain,
    ! [X15: wolf,X16: grain] : ~ eats(wolf_to_animal(X15),plant_to_edible(grain_to_plant(X16))),
    inference(fof_simplification,[status(thm)],[pel47_11a]) ).

tcf(c_0_28,negated_conjecture,
    ! [X1: animal,X10: fox] : ~ eats(X1,animal_to_edible(fox_to_animal(X10))),
    inference(spm,[status(thm)],[c_0_20,c_0_26]) ).

tff(c_0_29,plain,
    ! [X35: fox,X36: wolf] : much_smaller(fox_to_animal(X35),wolf_to_animal(X36)),
    inference(variable_rename,[status(thm)],[pel47_10]) ).

tff(c_0_30,plain,
    ! [X39: wolf,X40: grain] : ~ eats(wolf_to_animal(X39),plant_to_edible(grain_to_plant(X40))),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).

tcf(c_0_31,plain,
    ! [X10: fox,X2: plant,X1: animal] :
      ( eats(X1,plant_to_edible(X2))
      | ~ much_smaller(fox_to_animal(X10),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_26]),c_0_28]) ).

tcf(c_0_32,plain,
    ! [X10: fox,X12: wolf] : much_smaller(fox_to_animal(X10),wolf_to_animal(X12)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

tcf(c_0_33,plain,
    ! [X12: wolf,X16: grain] : ~ eats(wolf_to_animal(X12),plant_to_edible(grain_to_plant(X16))),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

tcf(c_0_34,plain,
    ! [X12: wolf,X2: plant] : eats(wolf_to_animal(X12),plant_to_edible(X2)),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : PUZ031_1 : TPTP v8.2.0. Released v5.0.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n017.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sat May 18 10:31:22 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  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/benchmark/theBenchmark.p
% 0.17/0.44  # Version: 3.1.0
% 0.17/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44  # Starting sh5l with 300s (1) cores
% 0.17/0.44  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12291 completed with status 0
% 0.17/0.44  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44  # No SInE strategy applied
% 0.17/0.44  # Search class: FGHNM-FFSF11-SFFFFFNN
% 0.17/0.44  # partial match(1): FGHNF-FFSF11-SFFFFFNN
% 0.17/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.44  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.44  # Starting new_bool_3 with 136s (1) cores
% 0.17/0.44  # Starting new_bool_1 with 136s (1) cores
% 0.17/0.44  # Starting sh5l with 136s (1) cores
% 0.17/0.44  # SAT001_MinMin_p005000_rr_RG with pid 12297 completed with status 0
% 0.17/0.44  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44  # No SInE strategy applied
% 0.17/0.44  # Search class: FGHNM-FFSF11-SFFFFFNN
% 0.17/0.44  # partial match(1): FGHNF-FFSF11-SFFFFFNN
% 0.17/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.44  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.44  # Preprocessing time       : 0.001 s
% 0.17/0.44  # Presaturation interreduction done
% 0.17/0.44  
% 0.17/0.44  # Proof found!
% 0.17/0.44  # SZS status Theorem
% 0.17/0.44  # SZS output start CNFRefutation
% See solution above
% 0.17/0.44  # Parsed axioms                        : 31
% 0.17/0.44  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.44  # Initial clauses                      : 31
% 0.17/0.44  # Removed in clause preprocessing      : 19
% 0.17/0.44  # Initial clauses in saturation        : 12
% 0.17/0.44  # Processed clauses                    : 33
% 0.17/0.44  # ...of these trivial                  : 0
% 0.17/0.44  # ...subsumed                          : 0
% 0.17/0.44  # ...remaining for further processing  : 33
% 0.17/0.44  # Other redundant clauses eliminated   : 0
% 0.17/0.44  # Clauses deleted for lack of memory   : 0
% 0.17/0.44  # Backward-subsumed                    : 1
% 0.17/0.44  # Backward-rewritten                   : 1
% 0.17/0.44  # Generated clauses                    : 12
% 0.17/0.44  # ...of the previous two non-redundant : 9
% 0.17/0.44  # ...aggressively subsumed             : 0
% 0.17/0.44  # Contextual simplify-reflections      : 0
% 0.17/0.44  # Paramodulations                      : 12
% 0.17/0.44  # Factorizations                       : 0
% 0.17/0.44  # NegExts                              : 0
% 0.17/0.44  # Equation resolutions                 : 0
% 0.17/0.44  # Disequality decompositions           : 0
% 0.17/0.44  # Total rewrite steps                  : 3
% 0.17/0.44  # ...of those cached                   : 0
% 0.17/0.44  # Propositional unsat checks           : 0
% 0.17/0.44  #    Propositional check models        : 0
% 0.17/0.44  #    Propositional check unsatisfiable : 0
% 0.17/0.44  #    Propositional clauses             : 0
% 0.17/0.44  #    Propositional clauses after purity: 0
% 0.17/0.44  #    Propositional unsat core size     : 0
% 0.17/0.44  #    Propositional preprocessing time  : 0.000
% 0.17/0.44  #    Propositional encoding time       : 0.000
% 0.17/0.44  #    Propositional solver time         : 0.000
% 0.17/0.44  #    Success case prop preproc time    : 0.000
% 0.17/0.44  #    Success case prop encoding time   : 0.000
% 0.17/0.44  #    Success case prop solver time     : 0.000
% 0.17/0.44  # Current number of processed clauses  : 19
% 0.17/0.44  #    Positive orientable unit clauses  : 10
% 0.17/0.44  #    Positive unorientable unit clauses: 0
% 0.17/0.44  #    Negative unit clauses             : 3
% 0.17/0.44  #    Non-unit-clauses                  : 6
% 0.17/0.44  # Current number of unprocessed clauses: 0
% 0.17/0.44  # ...number of literals in the above   : 0
% 0.17/0.44  # Current number of archived formulas  : 0
% 0.17/0.44  # Current number of archived clauses   : 14
% 0.17/0.44  # Clause-clause subsumption calls (NU) : 8
% 0.17/0.44  # Rec. Clause-clause subsumption calls : 8
% 0.17/0.44  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.44  # Unit Clause-clause subsumption calls : 14
% 0.17/0.44  # Rewrite failures with RHS unbound    : 0
% 0.17/0.44  # BW rewrite match attempts            : 1
% 0.17/0.44  # BW rewrite match successes           : 1
% 0.17/0.44  # Condensation attempts                : 0
% 0.17/0.44  # Condensation successes               : 0
% 0.17/0.44  # Termbank termtop insertions          : 1243
% 0.17/0.44  # Search garbage collected termcells   : 78
% 0.17/0.44  
% 0.17/0.44  # -------------------------------------------------
% 0.17/0.44  # User time                : 0.004 s
% 0.17/0.44  # System time              : 0.003 s
% 0.17/0.44  # Total time               : 0.007 s
% 0.17/0.44  # Maximum resident set size: 1800 pages
% 0.17/0.44  
% 0.17/0.44  # -------------------------------------------------
% 0.17/0.44  # User time                : 0.013 s
% 0.17/0.44  # System time              : 0.008 s
% 0.17/0.44  # Total time               : 0.021 s
% 0.17/0.44  # Maximum resident set size: 1768 pages
% 0.17/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------