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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:31:55 PM UTC 2026

% Result   : Theorem 3.35s 1.09s
% Output   : Proof 3.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  123 (  35 unt;   0 def)
%            Number of atoms       :  323 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  363 ( 163   ~; 165   |;  20   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :  141 (   0 sgn  71   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X] :
      ( animal(X)
     => ( ! [Y1] :
            ( ( ? [Z] :
                  ( eats(Y1,Z)
                  & plant(Z) )
              & much_smaller(Y1,X)
              & animal(Y1) )
           => eats(X,Y1) )
        | ! [Y] :
            ( plant(Y)
           => eats(X,Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).

fof(f12_nnf,plain,
    ! [X] :
      ( ! [Y1] :
          ( eats(X,Y1)
          | ! [Z] :
              ( ~ eats(Y1,Z)
              | ~ plant(Z) )
          | ~ much_smaller(Y1,X)
          | ~ animal(Y1) )
      | ! [Y] :
          ( eats(X,Y)
          | ~ plant(Y) )
      | ~ animal(X) ),
    inference(nnf_transformation,[status(thm)],[f12]) ).

fof(f12_sk,plain,
    ! [X,Y,Y1,Z] :
      ( eats(X,Y1)
      | ~ eats(Y1,Z)
      | ~ plant(Z)
      | ~ much_smaller(Y1,X)
      | ~ animal(Y1)
      | eats(X,Y)
      | ~ plant(Y)
      | ~ animal(X) ),
    inference(skolemisation,[status(esa)],[f12_nnf]) ).

cnf(c12,plain,
    ( eats(X0,X2)
    | ~ eats(X2,X3)
    | ~ plant(X3)
    | ~ much_smaller(X2,X0)
    | ~ animal(X2)
    | eats(X0,X1)
    | ~ plant(X1)
    | ~ animal(X0) ),
    inference(cnf_transformation,[status(esa)],[f12_sk]) ).

fof(f7,axiom,
    ! [X] :
      ( bird(X)
     => animal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_1) ).

fof(f7_nnf,plain,
    ! [X] :
      ( animal(X)
      | ~ bird(X) ),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [X] :
      ( animal(X)
      | ~ bird(X) ),
    inference(skolemisation,[status(esa)],[f7_nnf]) ).

cnf(c7,plain,
    ( animal(X0)
    | ~ bird(X0) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

fof(f2,axiom,
    ? [A] : bird(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).

fof(f2_nnf,plain,
    ? [A] : bird(A),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    bird(sk2),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f2_nnf]) ).

cnf(c2,plain,
    bird(sk2),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(p39,plain,
    animal(sk2),
    inference(resolution,[status(thm)],[c7,c2]) ).

cnf(p62,plain,
    ( eats(sk2,X1)
    | ~ eats(X1,X2)
    | ~ plant(X2)
    | ~ much_smaller(X1,sk2)
    | ~ animal(X1)
    | eats(sk2,X0)
    | ~ plant(X0) ),
    inference(resolution,[status(thm)],[c12,p39]) ).

fof(f11,axiom,
    ! [X] :
      ( grain(X)
     => plant(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_6_2) ).

fof(f11_nnf,plain,
    ! [X] :
      ( plant(X)
      | ~ grain(X) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [X] :
      ( plant(X)
      | ~ grain(X) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( plant(X0)
    | ~ grain(X0) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

fof(f10,axiom,
    ? [A] : grain(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).

fof(f10_nnf,plain,
    ? [A] : grain(A),
    inference(nnf_transformation,[status(thm)],[f10]) ).

fof(f10_sk,plain,
    grain(sk5),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f10_nnf]) ).

cnf(c10,plain,
    grain(sk5),
    inference(cnf_transformation,[status(esa)],[f10_sk]) ).

cnf(p53,plain,
    plant(sk5),
    inference(resolution,[status(thm)],[c11,c10]) ).

cnf(p149,plain,
    ( eats(sk2,X0)
    | ~ eats(X0,X1)
    | ~ plant(X1)
    | ~ much_smaller(X0,sk2)
    | ~ animal(X0)
    | eats(sk2,sk5) ),
    inference(resolution,[status(thm)],[p62,p53]) ).

fof(f9,axiom,
    ! [X] :
      ( snail(X)
     => animal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_4_2) ).

fof(f9_nnf,plain,
    ! [X] :
      ( animal(X)
      | ~ snail(X) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ! [X] :
      ( animal(X)
      | ~ snail(X) ),
    inference(skolemisation,[status(esa)],[f9_nnf]) ).

cnf(c9,plain,
    ( animal(X0)
    | ~ snail(X0) ),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

fof(f4,axiom,
    ? [A] : snail(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).

fof(f4_nnf,plain,
    ? [A] : snail(A),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    snail(sk4),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f4_nnf]) ).

cnf(c4,plain,
    snail(sk4),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(p50,plain,
    animal(sk4),
    inference(resolution,[status(thm)],[c9,c4]) ).

cnf(p271,plain,
    ( eats(sk2,sk4)
    | ~ eats(sk4,X0)
    | ~ plant(X0)
    | ~ much_smaller(sk4,sk2)
    | eats(sk2,sk5) ),
    inference(resolution,[status(thm)],[p149,p50]) ).

fof(f13,axiom,
    ! [Y,X] :
      ( ( snail(X)
        & bird(Y) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).

fof(f13_nnf,plain,
    ! [Y,X] :
      ( much_smaller(X,Y)
      | ~ snail(X)
      | ~ bird(Y) ),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ! [Y,X] :
      ( much_smaller(X,Y)
      | ~ snail(X)
      | ~ bird(Y) ),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c13,plain,
    ( much_smaller(X1,X0)
    | ~ snail(X1)
    | ~ bird(X0) ),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(p65,plain,
    ( much_smaller(X0,sk2)
    | ~ snail(X0) ),
    inference(resolution,[status(thm)],[c13,c2]) ).

cnf(p113,plain,
    much_smaller(sk4,sk2),
    inference(resolution,[status(thm)],[p65,c4]) ).

cnf(p272,plain,
    ( eats(sk2,sk4)
    | ~ eats(sk4,X0)
    | ~ plant(X0)
    | eats(sk2,sk5) ),
    inference(resolution,[status(thm)],[p271,p113]) ).

fof(f22,axiom,
    ! [X] :
      ( snail(X)
     => ? [Y] :
          ( eats(X,Y)
          & plant(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).

fof(f22_nnf,plain,
    ! [X] :
      ( ? [Y] :
          ( eats(X,Y)
          & plant(Y) )
      | ~ snail(X) ),
    inference(nnf_transformation,[status(thm)],[f22]) ).

fof(f22_sk,plain,
    ! [X] :
      ( ( eats(X,sk7(X))
        & plant(sk7(X)) )
      | ~ snail(X) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk7])],[f22_nnf]) ).

cnf(c23,plain,
    ( plant(sk7(X0))
    | ~ snail(X0) ),
    inference(cnf_transformation,[status(esa)],[f22_sk]) ).

cnf(p111,plain,
    plant(sk7(sk4)),
    inference(resolution,[status(thm)],[c23,c4]) ).

cnf(p274,plain,
    ( eats(sk2,sk4)
    | ~ eats(sk4,sk7(sk4))
    | eats(sk2,sk5) ),
    inference(resolution,[status(thm)],[p272,p111]) ).

cnf(c24,plain,
    ( eats(X0,sk7(X0))
    | ~ snail(X0) ),
    inference(cnf_transformation,[status(esa)],[f22_sk]) ).

cnf(p112,plain,
    eats(sk4,sk7(sk4)),
    inference(resolution,[status(thm)],[c24,c4]) ).

cnf(p278,plain,
    ( eats(sk2,sk4)
    | eats(sk2,sk5) ),
    inference(resolution,[status(thm)],[p274,p112]) ).

cnf(p58,plain,
    ( eats(X0,X2)
    | ~ eats(X2,X1)
    | ~ much_smaller(X2,X0)
    | ~ animal(X2)
    | eats(X0,X1)
    | ~ plant(X1)
    | ~ animal(X0) ),
    inference(factoring,[status(thm)],[c12]) ).

fof(f6,axiom,
    ! [X] :
      ( fox(X)
     => animal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_1) ).

fof(f6_nnf,plain,
    ! [X] :
      ( animal(X)
      | ~ fox(X) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [X] :
      ( animal(X)
      | ~ fox(X) ),
    inference(skolemisation,[status(esa)],[f6_nnf]) ).

cnf(c6,plain,
    ( animal(X0)
    | ~ fox(X0) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

fof(f1,axiom,
    ? [A] : fox(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).

fof(f1_nnf,plain,
    ? [A] : fox(A),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    fox(sk1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f1_nnf]) ).

cnf(c1,plain,
    fox(sk1),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p34,plain,
    animal(sk1),
    inference(resolution,[status(thm)],[c6,c1]) ).

cnf(p124,plain,
    ( eats(sk1,X1)
    | ~ eats(X1,X0)
    | ~ much_smaller(X1,sk1)
    | ~ animal(X1)
    | eats(sk1,X0)
    | ~ plant(X0) ),
    inference(resolution,[status(thm)],[p58,p34]) ).

cnf(p195,plain,
    ( eats(sk1,X0)
    | ~ eats(X0,sk5)
    | ~ much_smaller(X0,sk1)
    | ~ animal(X0)
    | eats(sk1,sk5) ),
    inference(resolution,[status(thm)],[p124,p53]) ).

cnf(p198,plain,
    ( eats(sk1,sk2)
    | ~ eats(sk2,sk5)
    | ~ much_smaller(sk2,sk1)
    | eats(sk1,sk5) ),
    inference(resolution,[status(thm)],[p195,p39]) ).

fof(f15,axiom,
    ! [X,Y] :
      ( ( fox(Y)
        & bird(X) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).

fof(f15_nnf,plain,
    ! [X,Y] :
      ( much_smaller(X,Y)
      | ~ fox(Y)
      | ~ bird(X) ),
    inference(nnf_transformation,[status(thm)],[f15]) ).

fof(f15_sk,plain,
    ! [X,Y] :
      ( much_smaller(X,Y)
      | ~ fox(Y)
      | ~ bird(X) ),
    inference(skolemisation,[status(esa)],[f15_nnf]) ).

cnf(c15,plain,
    ( much_smaller(X0,X1)
    | ~ fox(X1)
    | ~ bird(X0) ),
    inference(cnf_transformation,[status(esa)],[f15_sk]) ).

cnf(p77,plain,
    ( much_smaller(sk2,X0)
    | ~ fox(X0) ),
    inference(resolution,[status(thm)],[c15,c2]) ).

cnf(p121,plain,
    much_smaller(sk2,sk1),
    inference(resolution,[status(thm)],[p77,c1]) ).

cnf(p201,plain,
    ( eats(sk1,sk2)
    | ~ eats(sk2,sk5)
    | eats(sk1,sk5) ),
    inference(resolution,[status(thm)],[p198,p121]) ).

cnf(p284,plain,
    ( eats(sk1,sk2)
    | eats(sk1,sk5)
    | eats(sk2,sk4) ),
    inference(resolution,[status(thm)],[p278,p201]) ).

fof(f20,axiom,
    ! [X,Y] :
      ( ( snail(Y)
        & bird(X) )
     => ~ eats(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).

fof(f20_nnf,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ~ snail(Y)
      | ~ bird(X) ),
    inference(nnf_transformation,[status(thm)],[f20]) ).

fof(f20_sk,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ~ snail(Y)
      | ~ bird(X) ),
    inference(skolemisation,[status(esa)],[f20_nnf]) ).

cnf(c20,plain,
    ( ~ eats(X0,X1)
    | ~ snail(X1)
    | ~ bird(X0) ),
    inference(cnf_transformation,[status(esa)],[f20_sk]) ).

cnf(p102,plain,
    ( ~ eats(sk2,X0)
    | ~ snail(X0) ),
    inference(resolution,[status(thm)],[c20,c2]) ).

cnf(p140,plain,
    ~ eats(sk2,sk4),
    inference(resolution,[status(thm)],[p102,c4]) ).

cnf(p292,plain,
    ( eats(sk1,sk2)
    | eats(sk1,sk5) ),
    inference(resolution,[status(thm)],[p284,p140]) ).

fof(f5,axiom,
    ! [X] :
      ( wolf(X)
     => animal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_1) ).

fof(f5_nnf,plain,
    ! [X] :
      ( animal(X)
      | ~ wolf(X) ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [X] :
      ( animal(X)
      | ~ wolf(X) ),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c5,plain,
    ( animal(X0)
    | ~ wolf(X0) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

fof(f0,axiom,
    ? [A] : wolf(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).

fof(f0_nnf,plain,
    ? [A] : wolf(A),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    wolf(sk0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).

cnf(c0,plain,
    wolf(sk0),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p29,plain,
    animal(sk0),
    inference(resolution,[status(thm)],[c5,c0]) ).

cnf(p123,plain,
    ( eats(sk0,X1)
    | ~ eats(X1,X0)
    | ~ much_smaller(X1,sk0)
    | ~ animal(X1)
    | eats(sk0,X0)
    | ~ plant(X0) ),
    inference(resolution,[status(thm)],[p58,p29]) ).

cnf(p187,plain,
    ( eats(sk0,X0)
    | ~ eats(X0,sk5)
    | ~ much_smaller(X0,sk0)
    | ~ animal(X0)
    | eats(sk0,sk5) ),
    inference(resolution,[status(thm)],[p123,p53]) ).

cnf(p190,plain,
    ( eats(sk0,sk1)
    | ~ eats(sk1,sk5)
    | ~ much_smaller(sk1,sk0)
    | eats(sk0,sk5) ),
    inference(resolution,[status(thm)],[p187,p34]) ).

fof(f16,axiom,
    ! [X,Y] :
      ( ( wolf(Y)
        & fox(X) )
     => much_smaller(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).

fof(f16_nnf,plain,
    ! [X,Y] :
      ( much_smaller(X,Y)
      | ~ wolf(Y)
      | ~ fox(X) ),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ! [X,Y] :
      ( much_smaller(X,Y)
      | ~ wolf(Y)
      | ~ fox(X) ),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c16,plain,
    ( much_smaller(X0,X1)
    | ~ wolf(X1)
    | ~ fox(X0) ),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

cnf(p83,plain,
    ( much_smaller(sk1,X0)
    | ~ wolf(X0) ),
    inference(resolution,[status(thm)],[c16,c1]) ).

cnf(p128,plain,
    much_smaller(sk1,sk0),
    inference(resolution,[status(thm)],[p83,c0]) ).

cnf(p194,plain,
    ( eats(sk0,sk1)
    | ~ eats(sk1,sk5)
    | eats(sk0,sk5) ),
    inference(resolution,[status(thm)],[p190,p128]) ).

cnf(p297,plain,
    ( eats(sk0,sk1)
    | eats(sk0,sk5)
    | eats(sk1,sk2) ),
    inference(resolution,[status(thm)],[p292,p194]) ).

fof(f23,conjecture,
    ? [X,Y] :
      ( ? [Z] :
          ( eats(X,Y)
          & eats(Y,Z)
          & grain(Z) )
      & animal(Y)
      & animal(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).

fof(f23_neg,negated_conjecture,
    ~ ? [X,Y] :
        ( ? [Z] :
            ( eats(X,Y)
            & eats(Y,Z)
            & grain(Z) )
        & animal(Y)
        & animal(X) ),
    inference(negated_conjecture,[status(cth)],[f23]) ).

fof(f23_nnf,plain,
    ! [X,Y] :
      ( ! [Z] :
          ( ~ eats(X,Y)
          | ~ eats(Y,Z)
          | ~ grain(Z) )
      | ~ animal(Y)
      | ~ animal(X) ),
    inference(nnf_transformation,[status(thm)],[f23_neg]) ).

fof(f23_sk,plain,
    ! [X,Y,Z] :
      ( ~ eats(X,Y)
      | ~ eats(Y,Z)
      | ~ grain(Z)
      | ~ animal(Y)
      | ~ animal(X) ),
    inference(skolemisation,[status(esa)],[f23_nnf]) ).

cnf(c25,plain,
    ( ~ eats(X0,X1)
    | ~ eats(X1,X2)
    | ~ grain(X2)
    | ~ animal(X1)
    | ~ animal(X0) ),
    inference(cnf_transformation,[status(esa)],[f23_sk]) ).

cnf(p35,plain,
    ( ~ eats(sk1,X0)
    | ~ eats(X0,X1)
    | ~ grain(X1)
    | ~ animal(X0) ),
    inference(resolution,[status(thm)],[p34,c25]) ).

cnf(p49,plain,
    ( ~ eats(sk1,sk2)
    | ~ eats(sk2,X0)
    | ~ grain(X0) ),
    inference(resolution,[status(thm)],[p39,p35]) ).

cnf(p54,plain,
    ( ~ eats(sk1,sk2)
    | ~ eats(sk2,sk5) ),
    inference(resolution,[status(thm)],[p49,c10]) ).

cnf(p281,plain,
    ( ~ eats(sk1,sk2)
    | eats(sk2,sk4) ),
    inference(resolution,[status(thm)],[p278,p54]) ).

cnf(p303,plain,
    ( eats(sk2,sk4)
    | eats(sk0,sk1)
    | eats(sk0,sk5) ),
    inference(resolution,[status(thm)],[p297,p281]) ).

cnf(p304,plain,
    ( eats(sk0,sk1)
    | eats(sk0,sk5) ),
    inference(resolution,[status(thm)],[p303,p140]) ).

fof(f18,axiom,
    ! [X,Y] :
      ( ( grain(Y)
        & wolf(X) )
     => ~ eats(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).

fof(f18_nnf,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ~ grain(Y)
      | ~ wolf(X) ),
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ~ grain(Y)
      | ~ wolf(X) ),
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    ( ~ eats(X0,X1)
    | ~ grain(X1)
    | ~ wolf(X0) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(p96,plain,
    ( ~ eats(sk0,X0)
    | ~ grain(X0) ),
    inference(resolution,[status(thm)],[c18,c0]) ).

cnf(p135,plain,
    ~ eats(sk0,sk5),
    inference(resolution,[status(thm)],[p96,c10]) ).

cnf(p309,plain,
    eats(sk0,sk1),
    inference(resolution,[status(thm)],[p304,p135]) ).

fof(f17,axiom,
    ! [X,Y] :
      ( ( fox(Y)
        & wolf(X) )
     => ~ eats(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).

fof(f17_nnf,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ~ fox(Y)
      | ~ wolf(X) ),
    inference(nnf_transformation,[status(thm)],[f17]) ).

fof(f17_sk,plain,
    ! [X,Y] :
      ( ~ eats(X,Y)
      | ~ fox(Y)
      | ~ wolf(X) ),
    inference(skolemisation,[status(esa)],[f17_nnf]) ).

cnf(c17,plain,
    ( ~ eats(X0,X1)
    | ~ fox(X1)
    | ~ wolf(X0) ),
    inference(cnf_transformation,[status(esa)],[f17_sk]) ).

cnf(p86,plain,
    ( ~ eats(sk0,X0)
    | ~ fox(X0) ),
    inference(resolution,[status(thm)],[c17,c0]) ).

cnf(p129,plain,
    ~ eats(sk0,sk1),
    inference(resolution,[status(thm)],[p86,c1]) ).

cnf(p310,plain,
    $false,
    inference(resolution,[status(thm)],[p309,p129]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35  % Computer : n019.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Thu Sep 24 06:43:04 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.35/1.09  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.35/1.09  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------