%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV373+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 Apr 30 20:46:52 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   34 (   9 unt;   0 def)
%            Number of atoms       :   69 (  14 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   65 (  30   ~;  18   |;  10   &)
%                                         (   3 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   57 (  54   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [U] : ~ contains_slb(create_slb,U),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [U,V,W,X] :
      ( contains_cpq(triple(U,V,W),X)
    <=> contains_slb(V,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [U,V,W,X] :
      ( V != create_slb
     => findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f42,lemma,
    ! [U,V,W] :
      ( ok(findmin_cpq_eff(triple(U,V,W)))
     => ( V != create_slb
        & contains_slb(V,findmin_pqp_res(U))
        & less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,conjecture,
    ! [U,V,W] :
      ( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
     => ~ ok(findmin_cpq_eff(triple(U,V,W))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    ~ ! [U,V,W] :
        ( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
       => ~ ok(findmin_cpq_eff(triple(U,V,W))) ),
    inference(negated_conjecture,[status(cth)],[f43]) ).

fof(f58,plain,
    ! [X0] : ~ contains_slb(create_slb,X0),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f108,plain,
    ! [U,V,W,X] :
      ( ( ~ contains_cpq(triple(U,V,W),X)
        | contains_slb(V,X) )
      & ( contains_cpq(triple(U,V,W),X)
        | ~ contains_slb(V,X) ) ),
    inference(NNF_transformation,[status(esa)],[f27]) ).

fof(f109,plain,
    ( ! [V,X] :
        ( ! [U,W] : ~ contains_cpq(triple(U,V,W),X)
        | contains_slb(V,X) )
    & ! [V,X] :
        ( ! [U,W] : contains_cpq(triple(U,V,W),X)
        | ~ contains_slb(V,X) ) ),
    inference(miniscoping,[status(esa)],[f108]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3] :
      ( contains_cpq(triple(X0,X1,X2),X3)
      | ~ contains_slb(X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f109]) ).

fof(f140,plain,
    ! [U,V,W,X] :
      ( V = create_slb
      | findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ),
    inference(pre_NNF_transformation,[status(esa)],[f39]) ).

fof(f141,plain,
    ! [V] :
      ( V = create_slb
      | ! [U,W] : findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U) ),
    inference(miniscoping,[status(esa)],[f140]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( X0 = create_slb
      | findmin_cpq_res(triple(X1,X0,X2)) = findmin_pqp_res(X1) ),
    inference(cnf_transformation,[status(esa)],[f141]) ).

fof(f145,plain,
    ! [U,V,W] :
      ( ~ ok(findmin_cpq_eff(triple(U,V,W)))
      | ( V != create_slb
        & contains_slb(V,findmin_pqp_res(U))
        & less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f42]) ).

fof(f146,plain,
    ! [U,V] :
      ( ! [W] : ~ ok(findmin_cpq_eff(triple(U,V,W)))
      | ( V != create_slb
        & contains_slb(V,findmin_pqp_res(U))
        & less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) ) ),
    inference(miniscoping,[status(esa)],[f145]) ).

fof(f148,plain,
    ! [X0,X1,X2] :
      ( ~ ok(findmin_cpq_eff(triple(X0,X1,X2)))
      | contains_slb(X1,findmin_pqp_res(X0)) ),
    inference(cnf_transformation,[status(esa)],[f146]) ).

fof(f150,plain,
    ? [U,V,W] :
      ( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
      & ok(findmin_cpq_eff(triple(U,V,W))) ),
    inference(pre_NNF_transformation,[status(esa)],[f44]) ).

fof(f151,plain,
    ( ~ contains_cpq(triple(sk0_0,sk0_1,sk0_2),findmin_cpq_res(triple(sk0_0,sk0_1,sk0_2)))
    & ok(findmin_cpq_eff(triple(sk0_0,sk0_1,sk0_2))) ),
    inference(skolemization,[status(esa)],[f150]) ).

fof(f152,plain,
    ~ contains_cpq(triple(sk0_0,sk0_1,sk0_2),findmin_cpq_res(triple(sk0_0,sk0_1,sk0_2))),
    inference(cnf_transformation,[status(esa)],[f151]) ).

fof(f153,plain,
    ok(findmin_cpq_eff(triple(sk0_0,sk0_1,sk0_2))),
    inference(cnf_transformation,[status(esa)],[f151]) ).

fof(f157,plain,
    ~ contains_slb(sk0_1,findmin_cpq_res(triple(sk0_0,sk0_1,sk0_2))),
    inference(resolution,[status(thm)],[f111,f152]) ).

fof(f169,plain,
    ( spl0_3
  <=> sk0_1 = create_slb ),
    introduced(split_symbol_definition) ).

fof(f170,plain,
    ( sk0_1 = create_slb
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f169]) ).

fof(f175,plain,
    ( spl0_4
  <=> contains_slb(sk0_1,findmin_pqp_res(sk0_0)) ),
    introduced(split_symbol_definition) ).

fof(f177,plain,
    ( ~ contains_slb(sk0_1,findmin_pqp_res(sk0_0))
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f175]) ).

fof(f178,plain,
    ( ~ contains_slb(sk0_1,findmin_pqp_res(sk0_0))
    | sk0_1 = create_slb ),
    inference(paramodulation,[status(thm)],[f142,f157]) ).

fof(f179,plain,
    ( ~ spl0_4
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f178,f175,f169]) ).

fof(f180,plain,
    contains_slb(sk0_1,findmin_pqp_res(sk0_0)),
    inference(resolution,[status(thm)],[f148,f153]) ).

fof(f200,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f177,f180]) ).

fof(f201,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f200]) ).

fof(f202,plain,
    ( contains_slb(create_slb,findmin_pqp_res(sk0_0))
    | ~ spl0_3 ),
    inference(backward_demodulation,[status(thm)],[f170,f180]) ).

fof(f203,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f202,f58]) ).

fof(f204,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f203]) ).

fof(f205,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f179,f201,f204]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV373+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Apr 30 00:39:19 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.024781 seconds
% 0.13/0.38  % CPU time: 0.033662 seconds
% 0.13/0.38  % Total memory used: 13.121 MB
% 0.13/0.38  % Net memory used: 13.072 MB
%------------------------------------------------------------------------------