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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : MGT113+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n020.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 02:13:06 PM UTC 2026

% Result   : Theorem 1.60s 1.26s
% Output   : CNFRefutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   88 (  32 unt;   1 def)
%            Number of atoms       :  359 (   0 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  461 ( 190   ~; 180   |;  88   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-6 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-6 aty)
%            Number of variables   :  296 (   0 sgn 272   !;  24   ?; 110   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( activates(X5,X0)
        & tgt(X0,X4)
        & act(X0,X3)
        & aer(X0,X2)
        & aee(X0,X1)
        & has_rem(X0)
        & proh(X0) )
     => ? [X6,X7,X8] :
          ( part_of(X8,X6)
          & cnt(X8,decl(X3),X4)
          & bearer(X8,X1)
          & subjection(X8)
          & part_of(X7,X6)
          & cnt(X7,decl(X3),X4)
          & bearer(X7,X2)
          & power(X7)
          & founds_rem(X5,X6,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_proh_relator_remedy) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( founds_rem(X4,X3,X5)
        & part_of(X0,X3)
        & cnt(X0,decl(X1),X2)
        & power(X0) )
     => about_event(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_B2) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( founds_rem(X4,X3,X5)
        & part_of(X0,X3)
        & cnt(X0,decl(X1),X2)
        & subjection(X0) )
     => about_event(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_B3) ).

fof(f15,axiom,
    proh(f1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proh_f1) ).

fof(f16,axiom,
    has_rem(f1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rem_f1) ).

fof(f17,axiom,
    aee(f1,marketplace),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aee_f1) ).

fof(f18,axiom,
    aer(f1,philharmonie),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aer_f1) ).

fof(f19,axiom,
    act(f1,distrib),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_f1) ).

fof(f20,axiom,
    tgt(f1,concert_ds),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tgt_f1) ).

fof(f21,axiom,
    activates(e1,f1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_e1_f1) ).

fof(f23,conjecture,
    ? [X0,X1,X2] :
      ( about_event(X2,e1)
      & part_of(X2,X0)
      & cnt(X2,decl(distrib),concert_ds)
      & bearer(X2,marketplace)
      & subjection(X2)
      & about_event(X1,e1)
      & part_of(X1,X0)
      & cnt(X1,decl(distrib),concert_ds)
      & bearer(X1,philharmonie)
      & power(X1)
      & founds_rem(e1,X0,f1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).

fof(f24,negated_conjecture,
    ~ ? [X0,X1,X2] :
        ( about_event(X2,e1)
        & part_of(X2,X0)
        & cnt(X2,decl(distrib),concert_ds)
        & bearer(X2,marketplace)
        & subjection(X2)
        & about_event(X1,e1)
        & part_of(X1,X0)
        & cnt(X1,decl(distrib),concert_ds)
        & bearer(X1,philharmonie)
        & power(X1)
        & founds_rem(e1,X0,f1) ),
    inference(negated_conjecture,[status(cth)],[f23]) ).

fof(f38,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ activates(X5,X0)
      | ~ tgt(X0,X4)
      | ~ act(X0,X3)
      | ~ aer(X0,X2)
      | ~ aee(X0,X1)
      | ~ has_rem(X0)
      | ~ proh(X0)
      | ? [X6,X7,X8] :
          ( part_of(X8,X6)
          & cnt(X8,decl(X3),X4)
          & bearer(X8,X1)
          & subjection(X8)
          & part_of(X7,X6)
          & cnt(X7,decl(X3),X4)
          & bearer(X7,X2)
          & power(X7)
          & founds_rem(X5,X6,X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f39,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ activates(X5,X0)
      | ~ tgt(X0,X4)
      | ~ act(X0,X3)
      | ~ aer(X0,X2)
      | ~ aee(X0,X1)
      | ~ has_rem(X0)
      | ~ proh(X0)
      | ? [X6,X7,X8] :
          ( part_of(X8,X6)
          & cnt(X8,decl(X3),X4)
          & bearer(X8,X1)
          & subjection(X8)
          & part_of(X7,X6)
          & cnt(X7,decl(X3),X4)
          & bearer(X7,X2)
          & power(X7)
          & founds_rem(X5,X6,X0) ) ),
    inference(flattening,[],[f38]) ).

fof(f45,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ founds_rem(X4,X3,X5)
      | ~ part_of(X0,X3)
      | ~ cnt(X0,decl(X1),X2)
      | ~ power(X0)
      | about_event(X0,X4) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ founds_rem(X4,X3,X5)
      | ~ part_of(X0,X3)
      | ~ cnt(X0,decl(X1),X2)
      | ~ power(X0)
      | about_event(X0,X4) ),
    inference(flattening,[],[f45]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ founds_rem(X4,X3,X5)
      | ~ part_of(X0,X3)
      | ~ cnt(X0,decl(X1),X2)
      | ~ subjection(X0)
      | about_event(X0,X4) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ founds_rem(X4,X3,X5)
      | ~ part_of(X0,X3)
      | ~ cnt(X0,decl(X1),X2)
      | ~ subjection(X0)
      | about_event(X0,X4) ),
    inference(flattening,[],[f47]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ~ about_event(X2,e1)
      | ~ part_of(X2,X0)
      | ~ cnt(X2,decl(distrib),concert_ds)
      | ~ bearer(X2,marketplace)
      | ~ subjection(X2)
      | ~ about_event(X1,e1)
      | ~ part_of(X1,X0)
      | ~ cnt(X1,decl(distrib),concert_ds)
      | ~ bearer(X1,philharmonie)
      | ~ power(X1)
      | ~ founds_rem(e1,X0,f1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ activates(X5,X0)
      | ~ tgt(X0,X4)
      | ~ act(X0,X3)
      | ~ aer(X0,X2)
      | ~ aee(X0,X1)
      | ~ has_rem(X0)
      | ~ proh(X0)
      | sP0(X0,X5,X2,X4,X3,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ founds_rem(X4,X3,X5)
      | ~ part_of(X0,X3)
      | ~ cnt(X0,decl(X1),X2)
      | ~ power(X0)
      | about_event(X0,X4) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f86,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ founds_rem(X4,X3,X5)
      | ~ part_of(X0,X3)
      | ~ cnt(X0,decl(X1),X2)
      | ~ subjection(X0)
      | about_event(X0,X4) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f87,plain,
    proh(f1),
    inference(cnf_transformation,[],[f15]) ).

fof(f88,plain,
    has_rem(f1),
    inference(cnf_transformation,[],[f16]) ).

fof(f89,plain,
    aee(f1,marketplace),
    inference(cnf_transformation,[],[f17]) ).

fof(f90,plain,
    aer(f1,philharmonie),
    inference(cnf_transformation,[],[f18]) ).

fof(f91,plain,
    act(f1,distrib),
    inference(cnf_transformation,[],[f19]) ).

fof(f92,plain,
    tgt(f1,concert_ds),
    inference(cnf_transformation,[],[f20]) ).

fof(f93,plain,
    activates(e1,f1),
    inference(cnf_transformation,[],[f21]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( ~ about_event(X2,e1)
      | ~ part_of(X2,X0)
      | ~ cnt(X2,decl(distrib),concert_ds)
      | ~ bearer(X2,marketplace)
      | ~ subjection(X2)
      | ~ about_event(X1,e1)
      | ~ part_of(X1,X0)
      | ~ cnt(X1,decl(distrib),concert_ds)
      | ~ bearer(X1,philharmonie)
      | ~ power(X1)
      | ~ founds_rem(e1,X0,f1) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( sP0(X0,X5,X2,X4,X3,X1)
      | ~ has_rem(X0)
      | ~ proh(X0)
      | ~ activates(X5,X0)
      | ~ tgt(X0,X4)
      | ~ act(X0,X3)
      | ~ aer(X0,X2)
      | ~ aee(X0,X1) ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( about_event(X0,X3)
      | ~ power(X0)
      | ~ part_of(X0,X4)
      | ~ founds_rem(X3,X4,X5)
      | ~ cnt(X0,decl(X1),X2) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( about_event(X0,X3)
      | ~ subjection(X0)
      | ~ part_of(X0,X4)
      | ~ founds_rem(X3,X4,X5)
      | ~ cnt(X0,decl(X1),X2) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_76,plain,
    proh(f1),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_77,plain,
    has_rem(f1),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_78,plain,
    aee(f1,marketplace),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_79,plain,
    aer(f1,philharmonie),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_80,plain,
    act(f1,distrib),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_81,plain,
    tgt(f1,concert_ds),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_82,plain,
    activates(e1,f1),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_84,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ subjection(X1)
      | ~ power(X0)
      | ~ about_event(X1,e1)
      | ~ about_event(X0,e1)
      | ~ bearer(X1,marketplace)
      | ~ bearer(X0,philharmonie)
      | ~ part_of(X1,X2)
      | ~ part_of(X0,X2)
      | ~ founds_rem(e1,X2,f1)
      | ~ cnt(X1,decl(distrib),concert_ds)
      | ~ cnt(X0,decl(distrib),concert_ds) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_207,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ subjection(X1)
      | ~ power(X0)
      | ~ about_event(X1,e1)
      | ~ bearer(X1,marketplace)
      | ~ bearer(X0,philharmonie)
      | ~ part_of(X1,X2)
      | ~ part_of(X0,X2)
      | ~ founds_rem(e1,X2,f1)
      | ~ cnt(X1,decl(distrib),concert_ds)
      | ~ cnt(X0,decl(distrib),concert_ds) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_84,c_74]) ).

tcf(c_218,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ subjection(X1)
      | ~ power(X0)
      | ~ bearer(X1,marketplace)
      | ~ bearer(X0,philharmonie)
      | ~ part_of(X1,X2)
      | ~ part_of(X0,X2)
      | ~ founds_rem(e1,X2,f1)
      | ~ cnt(X1,decl(distrib),concert_ds)
      | ~ cnt(X0,decl(distrib),concert_ds) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_207,c_75]) ).

tcf(c_415,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( sP0(f1,X4,X1,X3,X2,X0)
      | ~ proh(f1)
      | ~ activates(X4,f1)
      | ~ tgt(f1,X3)
      | ~ act(f1,X2)
      | ~ aer(f1,X1)
      | ~ aee(f1,X0) ),
    inference(resolution,[status(thm)],[c_64,c_77]) ).

tcf(c_417,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( sP0(f1,X4,X1,X3,X2,X0)
      | ~ aee(f1,X0)
      | ~ aer(f1,X1)
      | ~ act(f1,X2)
      | ~ tgt(f1,X3)
      | ~ activates(X4,f1) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_76,c_415]) ).

tcf(c_418,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( sP0(f1,X4,X1,X3,X2,X0)
      | ~ activates(X4,f1)
      | ~ tgt(f1,X3)
      | ~ act(f1,X2)
      | ~ aer(f1,X1)
      | ~ aee(f1,X0) ),
    inference(renaming,[status(thm)],[c_417]) ).

tcf(c_798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sP0(f1,X3,X0,X2,X1,marketplace)
      | ~ activates(X3,f1)
      | ~ tgt(f1,X2)
      | ~ act(f1,X1)
      | ~ aer(f1,X0) ),
    inference(resolution,[status(thm)],[c_78,c_418]) ).

tcf(c_840,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( sP0(f1,X2,philharmonie,X1,X0,marketplace)
      | ~ activates(X2,f1)
      | ~ tgt(f1,X1)
      | ~ act(f1,X0) ),
    inference(resolution,[status(thm)],[c_79,c_798]) ).

tcf(c_974,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(f1,X1,philharmonie,X0,distrib,marketplace)
      | ~ activates(X1,f1)
      | ~ tgt(f1,X0) ),
    inference(resolution,[status(thm)],[c_80,c_840]) ).

tcf(c_1000,plain,
    ! [X0: $i] :
      ( sP0(f1,X0,philharmonie,concert_ds,distrib,marketplace)
      | ~ activates(X0,f1) ),
    inference(resolution,[status(thm)],[c_81,c_974]) ).

tcf(c_1066,plain,
    sP0(f1,e1,philharmonie,concert_ds,distrib,marketplace),
    inference(resolution,[status(thm)],[c_82,c_1000]) ).

fof(f50,definition,
    ! [X0,X5,X2,X4,X3,X1] :
      ( ~ sP0(X0,X5,X2,X4,X3,X1)
      | ? [X6,X7,X8] :
          ( part_of(X8,X6)
          & cnt(X8,decl(X3),X4)
          & bearer(X8,X1)
          & subjection(X8)
          & part_of(X7,X6)
          & cnt(X7,decl(X3),X4)
          & bearer(X7,X2)
          & power(X7)
          & founds_rem(X5,X6,X0) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f51,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ activates(X5,X0)
      | ~ tgt(X0,X4)
      | ~ act(X0,X3)
      | ~ aer(X0,X2)
      | ~ aee(X0,X1)
      | ~ has_rem(X0)
      | ~ proh(X0)
      | sP0(X0,X5,X2,X4,X3,X1) ),
    inference(definition_folding,[],[f39,f50]) ).

fof(f53,plain,
    ! [X0,X5,X2,X4,X3,X1] :
      ( ~ sP0(X0,X5,X2,X4,X3,X1)
      | ? [X6,X7,X8] :
          ( part_of(X8,X6)
          & cnt(X8,decl(X3),X4)
          & bearer(X8,X1)
          & subjection(X8)
          & part_of(X7,X6)
          & cnt(X7,decl(X3),X4)
          & bearer(X7,X2)
          & power(X7)
          & founds_rem(X5,X6,X0) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f54,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | ? [X6,X7,X8] :
          ( part_of(X8,X6)
          & cnt(X8,decl(X4),X3)
          & bearer(X8,X5)
          & subjection(X8)
          & part_of(X7,X6)
          & cnt(X7,decl(X4),X3)
          & bearer(X7,X2)
          & power(X7)
          & founds_rem(X1,X6,X0) ) ),
    inference(rectify,[],[f53]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | ( part_of(sK6(X0,X1,X2,X3,X4,X5),sK4(X0,X1,X2,X3,X4,X5))
        & cnt(sK6(X0,X1,X2,X3,X4,X5),decl(X4),X3)
        & bearer(sK6(X0,X1,X2,X3,X4,X5),X5)
        & subjection(sK6(X0,X1,X2,X3,X4,X5))
        & part_of(sK5(X0,X1,X2,X3,X4,X5),sK4(X0,X1,X2,X3,X4,X5))
        & cnt(sK5(X0,X1,X2,X3,X4,X5),decl(X4),X3)
        & bearer(sK5(X0,X1,X2,X3,X4,X5),X2)
        & power(sK5(X0,X1,X2,X3,X4,X5))
        & founds_rem(X1,sK4(X0,X1,X2,X3,X4,X5),X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X6,sK4(X0,X1,X2,X3,X4,X5)),skolemize(X7,sK5(X0,X1,X2,X3,X4,X5)),skolemize(X8,sK6(X0,X1,X2,X3,X4,X5))],[f54]) ).

fof(f66,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | part_of(sK6(X0,X1,X2,X3,X4,X5),sK4(X0,X1,X2,X3,X4,X5)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f67,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | cnt(sK6(X0,X1,X2,X3,X4,X5),decl(X4),X3) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f68,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | bearer(sK6(X0,X1,X2,X3,X4,X5),X5) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f69,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | subjection(sK6(X0,X1,X2,X3,X4,X5)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f70,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | part_of(sK5(X0,X1,X2,X3,X4,X5),sK4(X0,X1,X2,X3,X4,X5)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f71,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | cnt(sK5(X0,X1,X2,X3,X4,X5),decl(X4),X3) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f72,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | bearer(sK5(X0,X1,X2,X3,X4,X5),X2) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f73,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | power(sK5(X0,X1,X2,X3,X4,X5)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f74,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sP0(X0,X1,X2,X3,X4,X5)
      | founds_rem(X1,sK4(X0,X1,X2,X3,X4,X5),X0) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( founds_rem(X1,sK4(X0,X1,X2,X3,X4,X5),X0)
      | ~ sP0(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( power(sK5(X0,X1,X2,X3,X4,X5))
      | ~ sP0(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( bearer(sK5(X0,X1,X2,X3,X4,X5),X2)
      | ~ sP0(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( cnt(sK5(X0,X1,X2,X3,X4,X5),decl(X4),X3)
      | ~ sP0(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( part_of(sK5(X0,X1,X2,X3,X4,X5),sK4(X0,X1,X2,X3,X4,X5))
      | ~ sP0(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( subjection(sK6(X0,X1,X2,X3,X4,X5))
      | ~ sP0(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( bearer(sK6(X0,X1,X2,X3,X4,X5),X5)
      | ~ sP0(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( cnt(sK6(X0,X1,X2,X3,X4,X5),decl(X4),X3)
      | ~ sP0(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( part_of(sK6(X0,X1,X2,X3,X4,X5),sK4(X0,X1,X2,X3,X4,X5))
      | ~ sP0(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_1075,plain,
    part_of(sK6(f1,e1,philharmonie,concert_ds,distrib,marketplace),sK4(f1,e1,philharmonie,concert_ds,distrib,marketplace)),
    inference(resolution,[status(thm)],[c_63,c_1066]) ).

tcf(c_1079,plain,
    cnt(sK6(f1,e1,philharmonie,concert_ds,distrib,marketplace),decl(distrib),concert_ds),
    inference(resolution,[status(thm)],[c_62,c_1066]) ).

tcf(c_1083,plain,
    bearer(sK6(f1,e1,philharmonie,concert_ds,distrib,marketplace),marketplace),
    inference(resolution,[status(thm)],[c_61,c_1066]) ).

tcf(c_1087,plain,
    subjection(sK6(f1,e1,philharmonie,concert_ds,distrib,marketplace)),
    inference(resolution,[status(thm)],[c_60,c_1066]) ).

tcf(c_1091,plain,
    part_of(sK5(f1,e1,philharmonie,concert_ds,distrib,marketplace),sK4(f1,e1,philharmonie,concert_ds,distrib,marketplace)),
    inference(resolution,[status(thm)],[c_59,c_1066]) ).

tcf(c_1095,plain,
    cnt(sK5(f1,e1,philharmonie,concert_ds,distrib,marketplace),decl(distrib),concert_ds),
    inference(resolution,[status(thm)],[c_58,c_1066]) ).

tcf(c_1099,plain,
    bearer(sK5(f1,e1,philharmonie,concert_ds,distrib,marketplace),philharmonie),
    inference(resolution,[status(thm)],[c_57,c_1066]) ).

tcf(c_1103,plain,
    power(sK5(f1,e1,philharmonie,concert_ds,distrib,marketplace)),
    inference(resolution,[status(thm)],[c_56,c_1066]) ).

tcf(c_1107,plain,
    founds_rem(e1,sK4(f1,e1,philharmonie,concert_ds,distrib,marketplace),f1),
    inference(resolution,[status(thm)],[c_55,c_1066]) ).

tcf(c_1120,plain,
    ! [X0: $i,X1: $i] :
      ( ~ subjection(X1)
      | ~ power(X0)
      | ~ bearer(X1,marketplace)
      | ~ bearer(X0,philharmonie)
      | ~ cnt(X1,decl(distrib),concert_ds)
      | ~ cnt(X0,decl(distrib),concert_ds)
      | ~ part_of(X1,sK4(f1,e1,philharmonie,concert_ds,distrib,marketplace))
      | ~ part_of(X0,sK4(f1,e1,philharmonie,concert_ds,distrib,marketplace)) ),
    inference(resolution,[status(thm)],[c_218,c_1107]) ).

tcf(c_1177,plain,
    ! [X0: $i] :
      ( ~ subjection(X0)
      | ~ bearer(X0,marketplace)
      | ~ cnt(X0,decl(distrib),concert_ds)
      | ~ bearer(sK5(f1,e1,philharmonie,concert_ds,distrib,marketplace),philharmonie)
      | ~ part_of(X0,sK4(f1,e1,philharmonie,concert_ds,distrib,marketplace))
      | ~ cnt(sK5(f1,e1,philharmonie,concert_ds,distrib,marketplace),decl(distrib),concert_ds)
      | ~ part_of(sK5(f1,e1,philharmonie,concert_ds,distrib,marketplace),sK4(f1,e1,philharmonie,concert_ds,distrib,marketplace)) ),
    inference(resolution,[status(thm)],[c_1120,c_1103]) ).

tcf(c_1179,plain,
    ! [X0: $i] :
      ( ~ subjection(X0)
      | ~ bearer(X0,marketplace)
      | ~ cnt(X0,decl(distrib),concert_ds)
      | ~ part_of(X0,sK4(f1,e1,philharmonie,concert_ds,distrib,marketplace)) ),
    inference(global_subsumption_just,[status(thm)],[c_1177,c_1091,c_1095,c_1099,c_1177]) ).

tcf(c_1198,plain,
    ( ~ subjection(sK6(f1,e1,philharmonie,concert_ds,distrib,marketplace))
    | ~ bearer(sK6(f1,e1,philharmonie,concert_ds,distrib,marketplace),marketplace)
    | ~ part_of(sK6(f1,e1,philharmonie,concert_ds,distrib,marketplace),sK4(f1,e1,philharmonie,concert_ds,distrib,marketplace)) ),
    inference(resolution,[status(thm)],[c_1179,c_1079]) ).

tcf(c_1199,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1198,c_1087,c_1083,c_1075]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT113+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.35  % Computer : n020.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Thu Sep 24 01:26:03 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.07/0.35  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  
% 0.13/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40  
% 0.13/0.40  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 1.60/1.26  % SZS status Started for theBenchmark.p
% 1.60/1.26  % SZS status Theorem for theBenchmark.p
% 1.60/1.26  
% 1.60/1.26  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.60/1.26  
% 1.60/1.26  % ------  iProver source info
% 1.60/1.26  
% 1.60/1.26  % git: date: 2026-07-19 20:42:38 +0200
% 1.60/1.26  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.60/1.26  % git: non_committed_changes: false
% 1.60/1.26  
% 1.60/1.26  % ------ Parsing...
% 1.60/1.26  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.60/1.26  
% 1.60/1.26  % ------ Preprocessing... sf_s  rm: 7 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s% 
% 1.60/1.26  
% 1.60/1.26  % SZS status Theorem for theBenchmark.p
% 1.60/1.26  
% 1.60/1.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.60/1.27  
% 1.60/1.27  
%------------------------------------------------------------------------------