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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MGT117+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.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 : Thu Sep 24 01:25:38 PM UTC 2026

% Result   : Theorem 0.15s 0.40s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  16 unt;   0 def)
%            Number of atoms       :  323 (   0 equ)
%            Maximal formula atoms :   16 (   6 avg)
%            Number of connectives :  523 ( 251   ~; 225   |;  46   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-6 aty)
%            Number of variables   :  122 ( 109   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [P,X,Y,A,T,E] :
      ( ( activates(E,P)
        & tgt(P,T)
        & act(P,A)
        & aer(P,Y)
        & aee(P,X)
        & strong(P)
        & perm(P) )
     => ? [RhoI,Im,Db] :
          ( part_of(Db,RhoI)
          & cnt(Db,A,T)
          & bearer(Db,Y)
          & disability(Db)
          & part_of(Im,RhoI)
          & cnt(Im,A,T)
          & bearer(Im,X)
          & immunity(Im)
          & founds_imm(E,RhoI,P) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    perm(p1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    strong(p1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    aee(p1,bibliothek),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    aer(p1,museen),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    act(p1,read),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    tgt(p1,museum_api),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    activates(e1,p1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,conjecture,
    ? [RhoI,Db] :
      ( part_of(Db,RhoI)
      & cnt(Db,read,museum_api)
      & bearer(Db,museen)
      & disability(Db)
      & founds_imm(e1,RhoI,p1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ~ ? [RhoI,Db] :
        ( part_of(Db,RhoI)
        & cnt(Db,read,museum_api)
        & bearer(Db,museen)
        & disability(Db)
        & founds_imm(e1,RhoI,p1) ),
    inference(negated_conjecture,[status(cth)],[f15]) ).

fof(f17,plain,
    ! [P,X,Y,A,T,E] :
      ( ? [RhoI,Im,Db] :
          ( part_of(Db,RhoI)
          & cnt(Db,A,T)
          & bearer(Db,Y)
          & disability(Db)
          & part_of(Im,RhoI)
          & cnt(Im,A,T)
          & bearer(Im,X)
          & immunity(Im)
          & founds_imm(E,RhoI,P) )
      | ~ activates(E,P)
      | ~ tgt(P,T)
      | ~ act(P,A)
      | ~ aer(P,Y)
      | ~ aee(P,X)
      | ~ strong(P)
      | ~ perm(P) ),
    inference(pre_NNF_transformation,[status(thm)],[f1]) ).

fof(f18,plain,
    ! [P,X,Y,A,T,E] :
      ( ? [RhoI,Db] :
          ( part_of(Db,RhoI)
          & cnt(Db,A,T)
          & bearer(Db,Y)
          & disability(Db)
          & ? [Im] :
              ( part_of(Im,RhoI)
              & cnt(Im,A,T)
              & bearer(Im,X)
              & immunity(Im)
              & founds_imm(E,RhoI,P) ) )
      | ~ activates(E,P)
      | ~ tgt(P,T)
      | ~ act(P,A)
      | ~ aer(P,Y)
      | ~ aee(P,X)
      | ~ strong(P)
      | ~ perm(P) ),
    inference(miniscoping,[status(thm)],[f17]) ).

fof(f19,plain,
    ! [P,X,Y,A,T,E] :
      ( ( part_of(sK1_skl(E,T,A,Y,X,P),sK0_skl(E,T,A,Y,X,P))
        & cnt(sK1_skl(E,T,A,Y,X,P),A,T)
        & bearer(sK1_skl(E,T,A,Y,X,P),Y)
        & disability(sK1_skl(E,T,A,Y,X,P))
        & part_of(sK2_skl(E,T,A,Y,X,P),sK0_skl(E,T,A,Y,X,P))
        & cnt(sK2_skl(E,T,A,Y,X,P),A,T)
        & bearer(sK2_skl(E,T,A,Y,X,P),X)
        & immunity(sK2_skl(E,T,A,Y,X,P))
        & founds_imm(E,sK0_skl(E,T,A,Y,X,P),P) )
      | ~ activates(E,P)
      | ~ tgt(P,T)
      | ~ act(P,A)
      | ~ aer(P,Y)
      | ~ aee(P,X)
      | ~ strong(P)
      | ~ perm(P) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(RhoI,sK0_skl(E,T,A,Y,X,P)),skolemize(Db,sK1_skl(E,T,A,Y,X,P)),skolemize(Im,sK2_skl(E,T,A,Y,X,P))],[f18]) ).

fof(f20,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( founds_imm(X5,sK0_skl(X5,X4,X3,X2,X1,X0),X0)
      | ~ activates(X5,X0)
      | ~ tgt(X0,X4)
      | ~ act(X0,X3)
      | ~ aer(X0,X2)
      | ~ aee(X0,X1)
      | ~ strong(X0)
      | ~ perm(X0) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( disability(sK1_skl(X5,X4,X3,X2,X1,X0))
      | ~ activates(X5,X0)
      | ~ tgt(X0,X4)
      | ~ act(X0,X3)
      | ~ aer(X0,X2)
      | ~ aee(X0,X1)
      | ~ strong(X0)
      | ~ perm(X0) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f26,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( bearer(sK1_skl(X5,X4,X3,X2,X1,X0),X2)
      | ~ activates(X5,X0)
      | ~ tgt(X0,X4)
      | ~ act(X0,X3)
      | ~ aer(X0,X2)
      | ~ aee(X0,X1)
      | ~ strong(X0)
      | ~ perm(X0) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cnt(sK1_skl(X5,X4,X3,X2,X1,X0),X3,X4)
      | ~ activates(X5,X0)
      | ~ tgt(X0,X4)
      | ~ act(X0,X3)
      | ~ aer(X0,X2)
      | ~ aee(X0,X1)
      | ~ strong(X0)
      | ~ perm(X0) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( part_of(sK1_skl(X5,X4,X3,X2,X1,X0),sK0_skl(X5,X4,X3,X2,X1,X0))
      | ~ activates(X5,X0)
      | ~ tgt(X0,X4)
      | ~ act(X0,X3)
      | ~ aer(X0,X2)
      | ~ aee(X0,X1)
      | ~ strong(X0)
      | ~ perm(X0) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f35,plain,
    perm(p1),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f36,plain,
    strong(p1),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f37,plain,
    aee(p1,bibliothek),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f38,plain,
    aer(p1,museen),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f39,plain,
    act(p1,read),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f40,plain,
    tgt(p1,museum_api),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f41,plain,
    activates(e1,p1),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f42,plain,
    ! [RhoI,Db] :
      ( ~ part_of(Db,RhoI)
      | ~ cnt(Db,read,museum_api)
      | ~ bearer(Db,museen)
      | ~ disability(Db)
      | ~ founds_imm(e1,RhoI,p1) ),
    inference(pre_NNF_transformation,[status(thm)],[f16]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ part_of(X1,X0)
      | ~ cnt(X1,read,museum_api)
      | ~ bearer(X1,museen)
      | ~ disability(X1)
      | ~ founds_imm(e1,X0,p1) ),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ part_of(X4,sK0_skl(e1,X3,X2,X1,X0,p1))
      | ~ cnt(X4,read,museum_api)
      | ~ bearer(X4,museen)
      | ~ disability(X4)
      | ~ activates(e1,p1)
      | ~ tgt(p1,X3)
      | ~ act(p1,X2)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0)
      | ~ strong(p1)
      | ~ perm(p1) ),
    inference(resolution,[status(thm)],[f20,f43]) ).

fof(f45,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ part_of(X4,sK0_skl(e1,X3,X2,X1,X0,p1))
      | ~ cnt(X4,read,museum_api)
      | ~ bearer(X4,museen)
      | ~ disability(X4)
      | ~ activates(e1,p1)
      | ~ tgt(p1,X3)
      | ~ act(p1,X2)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0)
      | ~ strong(p1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f44,f35]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ part_of(X4,sK0_skl(e1,X3,X2,X1,X0,p1))
      | ~ cnt(X4,read,museum_api)
      | ~ bearer(X4,museen)
      | ~ disability(X4)
      | ~ activates(e1,p1)
      | ~ tgt(p1,X3)
      | ~ act(p1,X2)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f45,f36]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3] :
      ( ~ activates(e1,p1)
      | ~ tgt(p1,X3)
      | ~ act(p1,X2)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0)
      | ~ strong(p1)
      | ~ perm(p1)
      | ~ cnt(sK1_skl(e1,X3,X2,X1,X0,p1),read,museum_api)
      | ~ bearer(sK1_skl(e1,X3,X2,X1,X0,p1),museen)
      | ~ disability(sK1_skl(e1,X3,X2,X1,X0,p1))
      | ~ activates(e1,p1)
      | ~ tgt(p1,X3)
      | ~ act(p1,X2)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0) ),
    inference(resolution,[status(thm)],[f46,f28]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3] :
      ( ~ strong(p1)
      | ~ perm(p1)
      | ~ cnt(sK1_skl(e1,X3,X2,X1,X0,p1),read,museum_api)
      | ~ bearer(sK1_skl(e1,X3,X2,X1,X0,p1),museen)
      | ~ disability(sK1_skl(e1,X3,X2,X1,X0,p1))
      | ~ activates(e1,p1)
      | ~ tgt(p1,X3)
      | ~ act(p1,X2)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f47]) ).

fof(f50,plain,
    ! [X0,X1,X2,X3] :
      ( ~ strong(p1)
      | ~ perm(p1)
      | ~ cnt(sK1_skl(e1,X3,X2,X1,X0,p1),read,museum_api)
      | ~ bearer(sK1_skl(e1,X3,X2,X1,X0,p1),museen)
      | ~ disability(sK1_skl(e1,X3,X2,X1,X0,p1))
      | ~ tgt(p1,X3)
      | ~ act(p1,X2)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f49,f41]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3] :
      ( ~ strong(p1)
      | ~ cnt(sK1_skl(e1,X3,X2,X1,X0,p1),read,museum_api)
      | ~ bearer(sK1_skl(e1,X3,X2,X1,X0,p1),museen)
      | ~ disability(sK1_skl(e1,X3,X2,X1,X0,p1))
      | ~ tgt(p1,X3)
      | ~ act(p1,X2)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f50,f35]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ activates(e1,p1)
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0)
      | ~ strong(p1)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ bearer(sK1_skl(e1,museum_api,read,X1,X0,p1),museen)
      | ~ disability(sK1_skl(e1,museum_api,read,X1,X0,p1))
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0) ),
    inference(resolution,[status(thm)],[f53,f27]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ activates(e1,p1)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ bearer(sK1_skl(e1,museum_api,read,X1,X0,p1),museen)
      | ~ disability(sK1_skl(e1,museum_api,read,X1,X0,p1))
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f54]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ activates(e1,p1)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ bearer(sK1_skl(e1,museum_api,read,X1,X0,p1),museen)
      | ~ disability(sK1_skl(e1,museum_api,read,X1,X0,p1))
      | ~ tgt(p1,museum_api)
      | ~ aer(p1,X1)
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f55,f39]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ activates(e1,p1)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ bearer(sK1_skl(e1,museum_api,read,X1,X0,p1),museen)
      | ~ disability(sK1_skl(e1,museum_api,read,X1,X0,p1))
      | ~ aer(p1,X1)
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f56,f40]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ activates(e1,p1)
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ aer(p1,museen)
      | ~ aee(p1,X0)
      | ~ strong(p1)
      | ~ perm(p1)
      | ~ activates(e1,p1)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ disability(sK1_skl(e1,museum_api,read,museen,X0,p1))
      | ~ aer(p1,museen)
      | ~ aee(p1,X0) ),
    inference(resolution,[status(thm)],[f61,f26]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ activates(e1,p1)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ disability(sK1_skl(e1,museum_api,read,museen,X0,p1))
      | ~ aer(p1,museen)
      | ~ aee(p1,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f62]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ activates(e1,p1)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ disability(sK1_skl(e1,museum_api,read,museen,X0,p1))
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f63,f38]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ activates(e1,p1)
      | ~ perm(p1)
      | ~ disability(sK1_skl(e1,museum_api,read,museen,X0,p1))
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f64,f36]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ activates(e1,p1)
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ aer(p1,museen)
      | ~ aee(p1,X0)
      | ~ strong(p1)
      | ~ perm(p1)
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ activates(e1,p1)
      | ~ perm(p1)
      | ~ aee(p1,X0) ),
    inference(resolution,[status(thm)],[f65,f25]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ aer(p1,museen)
      | ~ strong(p1)
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ activates(e1,p1)
      | ~ perm(p1)
      | ~ aee(p1,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f66]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ aer(p1,museen)
      | ~ strong(p1)
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ activates(e1,p1)
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f67,f35]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ aer(p1,museen)
      | ~ strong(p1)
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f68,f41]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ aer(p1,museen)
      | ~ strong(p1)
      | ~ tgt(p1,museum_api)
      | ~ aee(p1,X0) ),
    inference(resolution,[status(thm)],[f69,f39]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ aer(p1,museen)
      | ~ strong(p1)
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f70,f40]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ aer(p1,museen)
      | ~ aee(p1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f73,f36]) ).

fof(f77,plain,
    ! [X0] : ~ aee(p1,X0),
    inference(resolution,[status(thm)],[f76,f38]) ).

fof(f79,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f37,f77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT117+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n008.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 01:27:24 UTC 2026
% 0.15/0.36  % CPUTime  : 
% 0.15/0.37  % Drodi V4.1.1
% 0.15/0.40  % Refutation found
% 0.15/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43  % Elapsed time: 0.057615 seconds
% 0.15/0.43  % CPU time: 0.172358 seconds
% 0.15/0.43  % Total memory used: 56.527 MB
% 0.15/0.43  % Net memory used: 56.241 MB
%------------------------------------------------------------------------------