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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : MGT117+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 : Tue Sep 29 12:02:25 PM UTC 2026

% Result   : Theorem 2.87s 1.06s
% Output   : Refutation 3.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   62 (  16 unt;   0 def)
%            Number of atoms       :  367 (   0 equ)
%            Maximal formula atoms :   16 (   5 avg)
%            Number of connectives :  583 ( 278   ~; 247   |;  56   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   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   :  171 ( 155   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perm(X0)
        & strong(X0)
        & aee(X0,X1)
        & aer(X0,X2)
        & act(X0,X3)
        & tgt(X0,X4)
        & activates(X5,X0) )
     => ? [X6,X7,X8] :
          ( founds_imm(X5,X6,X0)
          & immunity(X7)
          & bearer(X7,X1)
          & cnt(X7,X3,X4)
          & part_of(X7,X6)
          & disability(X8)
          & bearer(X8,X2)
          & cnt(X8,X3,X4)
          & part_of(X8,X6) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_perm_relator_strong) ).

fof(f8,axiom,
    perm(p1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',perm_p1) ).

fof(f9,axiom,
    strong(p1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_p1) ).

fof(f10,axiom,
    aee(p1,bibliothek),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aee_p1) ).

fof(f11,axiom,
    aer(p1,museen),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aer_p1) ).

fof(f12,axiom,
    act(p1,read),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_p1) ).

fof(f13,axiom,
    tgt(p1,museum_api),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tgt_p1) ).

fof(f14,axiom,
    activates(e1,p1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_e1_p1) ).

fof(f15,conjecture,
    ? [X0,X1] :
      ( founds_imm(e1,X0,p1)
      & disability(X1)
      & bearer(X1,museen)
      & cnt(X1,read,museum_api)
      & part_of(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).

fof(f16,negated_conjecture,
    ~ ? [X0,X1] :
        ( founds_imm(e1,X0,p1)
        & disability(X1)
        & bearer(X1,museen)
        & cnt(X1,read,museum_api)
        & part_of(X1,X0) ),
    inference(negated_conjecture,[status(cth)],[f15]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perm(X0)
        & strong(X0)
        & aee(X0,X1)
        & aer(X0,X2)
        & act(X0,X3)
        & tgt(X0,X4)
        & activates(X5,X0) )
     => ? [X6,X7,X8] :
          ( founds_imm(X5,X6,X0)
          & bearer(X7,X1)
          & cnt(X7,X3,X4)
          & part_of(X7,X6)
          & disability(X8)
          & bearer(X8,X2)
          & cnt(X8,X3,X4)
          & part_of(X8,X6) ) ),
    inference(pure_predicate_removal,[],[f1]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [X6,X7,X8] :
          ( founds_imm(X5,X6,X0)
          & bearer(X7,X1)
          & cnt(X7,X3,X4)
          & part_of(X7,X6)
          & disability(X8)
          & bearer(X8,X2)
          & cnt(X8,X3,X4)
          & part_of(X8,X6) )
      | ~ perm(X0)
      | ~ strong(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4)
      | ~ activates(X5,X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [X6,X7,X8] :
          ( founds_imm(X5,X6,X0)
          & bearer(X7,X1)
          & cnt(X7,X3,X4)
          & part_of(X7,X6)
          & disability(X8)
          & bearer(X8,X2)
          & cnt(X8,X3,X4)
          & part_of(X8,X6) )
      | ~ perm(X0)
      | ~ strong(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4)
      | ~ activates(X5,X0) ),
    inference(flattening,[],[f24]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ founds_imm(e1,X0,p1)
      | ~ disability(X1)
      | ~ bearer(X1,museen)
      | ~ cnt(X1,read,museum_api)
      | ~ part_of(X1,X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( founds_imm(X5,sK0(X0,X1,X2,X3,X4,X5),X0)
        & bearer(sK1(X0,X1,X2,X3,X4,X5),X1)
        & cnt(sK1(X0,X1,X2,X3,X4,X5),X3,X4)
        & part_of(sK1(X0,X1,X2,X3,X4,X5),sK0(X0,X1,X2,X3,X4,X5))
        & disability(sK2(X0,X1,X2,X3,X4,X5))
        & bearer(sK2(X0,X1,X2,X3,X4,X5),X2)
        & cnt(sK2(X0,X1,X2,X3,X4,X5),X3,X4)
        & part_of(sK2(X0,X1,X2,X3,X4,X5),sK0(X0,X1,X2,X3,X4,X5)) )
      | ~ perm(X0)
      | ~ strong(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4)
      | ~ activates(X5,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X6,sK0(X0,X1,X2,X3,X4,X5)),skolemize(X7,sK1(X0,X1,X2,X3,X4,X5)),skolemize(X8,sK2(X0,X1,X2,X3,X4,X5))],[f25]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( part_of(sK2(X0,X1,X2,X3,X4,X5),sK0(X0,X1,X2,X3,X4,X5))
      | ~ perm(X0)
      | ~ strong(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4)
      | ~ activates(X5,X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f29,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ strong(X0)
      | ~ perm(X0)
      | cnt(sK2(X0,X1,X2,X3,X4,X5),X3,X4)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4)
      | ~ activates(X5,X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( bearer(sK2(X0,X1,X2,X3,X4,X5),X2)
      | ~ perm(X0)
      | ~ strong(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4)
      | ~ activates(X5,X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( disability(sK2(X0,X1,X2,X3,X4,X5))
      | ~ perm(X0)
      | ~ strong(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4)
      | ~ activates(X5,X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( founds_imm(X5,sK0(X0,X1,X2,X3,X4,X5),X0)
      | ~ perm(X0)
      | ~ strong(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4)
      | ~ activates(X5,X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f36,plain,
    perm(p1),
    inference(cnf_transformation,[],[f8]) ).

fof(f37,plain,
    strong(p1),
    inference(cnf_transformation,[],[f9]) ).

fof(f38,plain,
    aee(p1,bibliothek),
    inference(cnf_transformation,[],[f10]) ).

fof(f39,plain,
    aer(p1,museen),
    inference(cnf_transformation,[],[f11]) ).

fof(f40,plain,
    act(p1,read),
    inference(cnf_transformation,[],[f12]) ).

fof(f41,plain,
    tgt(p1,museum_api),
    inference(cnf_transformation,[],[f13]) ).

fof(f42,plain,
    activates(e1,p1),
    inference(cnf_transformation,[],[f14]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ disability(X1)
      | ~ founds_imm(e1,X0,p1)
      | ~ bearer(X1,museen)
      | ~ cnt(X1,read,museum_api)
      | ~ part_of(X1,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f44,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ cnt(sK2(X0,X1,X2,X3,X4,X5),read,museum_api)
      | ~ strong(X0)
      | ~ aee(X0,X1)
      | ~ aer(X0,X2)
      | ~ act(X0,X3)
      | ~ tgt(X0,X4)
      | ~ activates(X5,X0)
      | ~ founds_imm(e1,X6,p1)
      | ~ bearer(sK2(X0,X1,X2,X3,X4,X5),museen)
      | ~ perm(X0)
      | ~ part_of(sK2(X0,X1,X2,X3,X4,X5),X6) ),
    inference(resolution,[],[f31,f43]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perm(p1)
      | cnt(sK2(p1,X0,X1,X2,X3,X4),X2,X3)
      | ~ aee(p1,X0)
      | ~ aer(p1,X1)
      | ~ act(p1,X2)
      | ~ tgt(p1,X3)
      | ~ activates(X4,p1) ),
    inference(resolution,[],[f29,f37]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ activates(X4,p1)
      | ~ aee(p1,X0)
      | ~ aer(p1,X1)
      | ~ act(p1,X2)
      | ~ tgt(p1,X3)
      | cnt(sK2(p1,X0,X1,X2,X3,X4),X2,X3) ),
    inference(forward_subsumption_resolution,[],[f45,f36]) ).

fof(f47,plain,
    ! [X2,X3,X0,X1] :
      ( ~ tgt(p1,X3)
      | ~ aer(p1,X1)
      | ~ act(p1,X2)
      | ~ aee(p1,X0)
      | cnt(sK2(p1,X0,X1,X2,X3,e1),X2,X3) ),
    inference(resolution,[],[f46,f42]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ act(p1,X1)
      | ~ aer(p1,X0)
      | ~ aee(p1,X2)
      | cnt(sK2(p1,X2,X0,X1,museum_api,e1),X1,museum_api) ),
    inference(resolution,[],[f47,f41]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( cnt(sK2(p1,X1,X0,read,museum_api,e1),read,museum_api)
      | ~ aee(p1,X1)
      | ~ aer(p1,X0) ),
    inference(resolution,[],[f48,f40]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ aee(p1,X0)
      | ~ aer(p1,X1)
      | ~ strong(p1)
      | ~ aee(p1,X0)
      | ~ aer(p1,X1)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1)
      | ~ founds_imm(e1,X2,p1)
      | ~ bearer(sK2(p1,X0,X1,read,museum_api,e1),museen)
      | ~ perm(p1)
      | ~ part_of(sK2(p1,X0,X1,read,museum_api,e1),X2) ),
    inference(resolution,[],[f49,f44]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( ~ aee(p1,X0)
      | ~ aer(p1,X1)
      | ~ strong(p1)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1)
      | ~ founds_imm(e1,X2,p1)
      | ~ bearer(sK2(p1,X0,X1,read,museum_api,e1),museen)
      | ~ perm(p1)
      | ~ part_of(sK2(p1,X0,X1,read,museum_api,e1),X2) ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ aee(p1,X0)
      | ~ aer(p1,X1)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1)
      | ~ founds_imm(e1,X2,p1)
      | ~ bearer(sK2(p1,X0,X1,read,museum_api,e1),museen)
      | ~ perm(p1)
      | ~ part_of(sK2(p1,X0,X1,read,museum_api,e1),X2) ),
    inference(forward_subsumption_resolution,[],[f51,f37]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ aee(p1,X0)
      | ~ aer(p1,X1)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1)
      | ~ founds_imm(e1,X2,p1)
      | ~ bearer(sK2(p1,X0,X1,read,museum_api,e1),museen)
      | ~ perm(p1)
      | ~ part_of(sK2(p1,X0,X1,read,museum_api,e1),X2) ),
    inference(forward_subsumption_resolution,[],[f52,f40]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ aee(p1,X0)
      | ~ aer(p1,X1)
      | ~ activates(e1,p1)
      | ~ founds_imm(e1,X2,p1)
      | ~ bearer(sK2(p1,X0,X1,read,museum_api,e1),museen)
      | ~ perm(p1)
      | ~ part_of(sK2(p1,X0,X1,read,museum_api,e1),X2) ),
    inference(forward_subsumption_resolution,[],[f53,f41]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ~ aee(p1,X0)
      | ~ aer(p1,X1)
      | ~ founds_imm(e1,X2,p1)
      | ~ bearer(sK2(p1,X0,X1,read,museum_api,e1),museen)
      | ~ perm(p1)
      | ~ part_of(sK2(p1,X0,X1,read,museum_api,e1),X2) ),
    inference(forward_subsumption_resolution,[],[f54,f42]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ bearer(sK2(p1,X0,X1,read,museum_api,e1),museen)
      | ~ aer(p1,X1)
      | ~ founds_imm(e1,X2,p1)
      | ~ aee(p1,X0)
      | ~ part_of(sK2(p1,X0,X1,read,museum_api,e1),X2) ),
    inference(forward_subsumption_resolution,[],[f55,f36]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ aer(p1,museen)
      | ~ founds_imm(e1,X0,p1)
      | ~ aee(p1,X1)
      | ~ part_of(sK2(p1,X1,museen,read,museum_api,e1),X0)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ aee(p1,X1)
      | ~ aer(p1,museen)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1) ),
    inference(resolution,[],[f56,f30]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ aer(p1,museen)
      | ~ founds_imm(e1,X0,p1)
      | ~ aee(p1,X1)
      | ~ part_of(sK2(p1,X1,museen,read,museum_api,e1),X0)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1) ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ founds_imm(e1,X0,p1)
      | ~ aee(p1,X1)
      | ~ part_of(sK2(p1,X1,museen,read,museum_api,e1),X0)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f58,f39]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ founds_imm(e1,X0,p1)
      | ~ aee(p1,X1)
      | ~ part_of(sK2(p1,X1,museen,read,museum_api,e1),X0)
      | ~ strong(p1)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f59,f36]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ founds_imm(e1,X0,p1)
      | ~ aee(p1,X1)
      | ~ part_of(sK2(p1,X1,museen,read,museum_api,e1),X0)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f60,f37]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ founds_imm(e1,X0,p1)
      | ~ aee(p1,X1)
      | ~ part_of(sK2(p1,X1,museen,read,museum_api,e1),X0)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f61,f40]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ founds_imm(e1,X0,p1)
      | ~ aee(p1,X1)
      | ~ part_of(sK2(p1,X1,museen,read,museum_api,e1),X0)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f62,f41]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ founds_imm(e1,X0,p1)
      | ~ aee(p1,X1)
      | ~ part_of(sK2(p1,X1,museen,read,museum_api,e1),X0) ),
    inference(forward_subsumption_resolution,[],[f63,f42]) ).

fof(f65,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ aee(p1,X0)
      | ~ part_of(sK2(p1,X0,museen,read,museum_api,e1),sK0(p1,X1,X2,X3,X4,e1))
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ aee(p1,X1)
      | ~ aer(p1,X2)
      | ~ act(p1,X3)
      | ~ tgt(p1,X4)
      | ~ activates(e1,p1) ),
    inference(resolution,[],[f64,f35]) ).

fof(f66,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ aee(p1,X0)
      | ~ part_of(sK2(p1,X0,museen,read,museum_api,e1),sK0(p1,X1,X2,X3,X4,e1))
      | ~ strong(p1)
      | ~ aee(p1,X1)
      | ~ aer(p1,X2)
      | ~ act(p1,X3)
      | ~ tgt(p1,X4)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f65,f36]) ).

fof(f67,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ aee(p1,X0)
      | ~ part_of(sK2(p1,X0,museen,read,museum_api,e1),sK0(p1,X1,X2,X3,X4,e1))
      | ~ aee(p1,X1)
      | ~ aer(p1,X2)
      | ~ act(p1,X3)
      | ~ tgt(p1,X4)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f66,f37]) ).

fof(f68,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ part_of(sK2(p1,X0,museen,read,museum_api,e1),sK0(p1,X1,X2,X3,X4,e1))
      | ~ aee(p1,X0)
      | ~ aee(p1,X1)
      | ~ aer(p1,X2)
      | ~ act(p1,X3)
      | ~ tgt(p1,X4) ),
    inference(forward_subsumption_resolution,[],[f67,f42]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ aee(p1,X0)
      | ~ aee(p1,X0)
      | ~ aer(p1,museen)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ aee(p1,X0)
      | ~ aer(p1,museen)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ activates(e1,p1) ),
    inference(resolution,[],[f68,f28]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ aee(p1,X0)
      | ~ aer(p1,museen)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ activates(e1,p1) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ aee(p1,X0)
      | ~ act(p1,read)
      | ~ tgt(p1,museum_api)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f70,f39]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ aee(p1,X0)
      | ~ tgt(p1,museum_api)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f71,f40]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ aee(p1,X0)
      | ~ perm(p1)
      | ~ strong(p1)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f72,f41]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ aee(p1,X0)
      | ~ strong(p1)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f73,f36]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ aee(p1,X0)
      | ~ activates(e1,p1) ),
    inference(forward_subsumption_resolution,[],[f74,f37]) ).

fof(f76,plain,
    ! [X0] : ~ aee(p1,X0),
    inference(forward_subsumption_resolution,[],[f75,f42]) ).

fof(f77,plain,
    $false,
    inference(resolution,[],[f76,f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT117+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n003.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 17:41:41 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.87/1.06  % (815800)Detected formulas, will run a generic FOF schedule.
% 2.87/1.06  % (815811)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=177235428:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.87/1.06  % (815811)Refutation not found, incomplete strategy
% 2.87/1.06  % (815811)------------------------------
% 2.87/1.06  % (815811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.06  % (815811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.06  % (815811)CaDiCaL version: 2.1.3
% 2.87/1.06  % (815811)Termination reason: Refutation not found, incomplete strategy
% 2.87/1.06  % (815811)Time elapsed: 0.0000 s
% 2.87/1.06  % (815811)Peak memory usage: 86 MB
% 2.87/1.06  % (815812)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2705492497:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.87/1.06  % (815810)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3505446824:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.87/1.06  % (815813)dis-21_1_sil=8000:lcm=predicate:random_seed=3342763495:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.87/1.06  % (815808)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1412465828:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.87/1.06  % (815807)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=636624357:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.87/1.06  % (815809)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=194531953:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.87/1.06  % (815810)Refutation not found, incomplete strategy
% 2.87/1.06  % (815810)------------------------------
% 2.87/1.06  % (815810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.06  % (815810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.06  % (815810)CaDiCaL version: 2.1.3
% 2.87/1.06  % (815810)Termination reason: Refutation not found, incomplete strategy
% 2.87/1.06  % (815810)Time elapsed: 0.0000 s
% 2.87/1.06  % (815810)Peak memory usage: 86 MB
% 2.87/1.06  % (815812)First to succeed.
% 2.87/1.06  % (815813)Also succeeded, but the first one will report.
% 2.87/1.06  % (815812)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-815800"
% 2.87/1.06  % (815811)------------------------------
% 2.87/1.06  % (815811)------------------------------
% 2.87/1.06  % (815810)------------------------------
% 2.87/1.06  % (815810)------------------------------
% 2.87/1.06  % (815812)Refutation found. Thanks to Tanya!
% 2.87/1.06  % SZS status Theorem for theBenchmark
% 2.87/1.06  % SZS output start Proof for theBenchmark
% See solution above
% 3.27/1.26  % (815812)------------------------------
% 3.27/1.26  % (815812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.27/1.26  % (815812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/1.26  % (815812)CaDiCaL version: 2.1.3
% 3.27/1.26  % (815812)Termination reason: Refutation
% 3.27/1.26  % (815812)Time elapsed: 0.004 s
% 3.27/1.26  % (815812)Peak memory usage: 88 MB
% 3.27/1.26  % (815812)Instructions burned: 5 (million)
% 3.27/1.26  % (815812)------------------------------
% 3.27/1.26  % (815812)------------------------------
% 3.27/1.26  % (815800)Success in time 0.411 s
% 3.27/1.26  % Vampire exiting
%------------------------------------------------------------------------------