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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR114+9 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n029.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 May  5 04:15:33 PM UTC 2026

% Result   : Theorem 1.71s 2.04s
% Output   : CNFRefutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   28 (   5 unt;   0 def)
%            Number of atoms       :  359 (   0 equ)
%            Maximal formula atoms :  247 (  12 avg)
%            Number of connectives :  400 (  69   ~;  58   |; 271   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  247 (  14 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   1 prp; 0-10 aty)
%            Number of functors    :   67 (  67 usr;  62 con; 0-3 aty)
%            Number of variables   :   86 (   9 sgn  15   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_004_mira_news_552_a281,conjecture,
    ? [X1,X2,X3,X4,X5] :
      ( in(X3,X1)
      & attr(X1,X2)
      & loc(X5,X3)
      & scar(X5,X4)
      & sub(X2,name_1_1)
      & subs(X5,stehen_1_1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_004_mira_news_552_a281) ).

fof(loc__stehen_1_1_loc,axiom,
    ! [X1,X2] :
      ( loc(X1,X2)
     => ? [X3] :
          ( loc(X3,X2)
          & scar(X3,X1)
          & subs(X3,stehen_1_1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',loc__stehen_1_1_loc) ).

fof(state_adjective__in_state,axiom,
    ! [X1,X2,X3] :
      ( ( prop(X1,X2)
        & state_adjective_state_binding(X2,X3) )
     => ? [X4,X5,X6] :
          ( in(X6,X4)
          & attr(X4,X5)
          & loc(X1,X6)
          & sub(X4,land_1_1)
          & sub(X5,name_1_1)
          & val(X5,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',state_adjective__in_state) ).

fof(fact_8886,axiom,
    state_adjective_state_binding(italienisch__1_1,italien_0),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',fact_8886) ).

fof(ave07_era5_synth_qa07_004_mira_news_552_a281,hypothesis,
    ( attr(c35597,c35598)
    & sub(c35597,mensch_1_1)
    & sub(c35598,eigenname_1_1)
    & val(c35598,rutelli_0)
    & pred(c35599,kathpress_1_1)
    & prop(c35605,althergebracht_1_1)
    & sub(c35605,papstaudienz_1_1)
    & sub(c35611,buergermeister_1_1)
    & sub(c35616,stadtrat_1_1)
    & attch(c35631,c35616)
    & prop(c35631,italienisch__1_1)
    & sub(c35631,hauptsstadt_1_1)
    & sub(c35676,kirchenf__374rst_1_1)
    & prop(c35683,unbeirrt_1_1)
    & sub(c35683,einsatz_1_1)
    & poss(c35688,c35683)
    & sub(c35694,friede_1_1)
    & name(c35704,edelste_aufgabe_roms_0)
    & tupl_p10(c35765,c35597,c35599,c35605,c35611,c35616,c35676,c35683,c35694,c35704)
    & sub(hauptsstadt_1_1,stadt__1_1)
    & assoc(papstaudienz_1_1,kirchenf__374rst_1_1)
    & sub(papstaudienz_1_1,audienz__1_1)
    & assoc(stadtrat_1_1,stadt__1_1)
    & sub(stadtrat_1_1,rat_2_1)
    & sort(c35597,d)
    & card(c35597,int1)
    & etype(c35597,int0)
    & fact(c35597,real)
    & gener(c35597,sp)
    & quant(c35597,one)
    & refer(c35597,det)
    & varia(c35597,con)
    & sort(c35598,na)
    & card(c35598,int1)
    & etype(c35598,int0)
    & fact(c35598,real)
    & gener(c35598,sp)
    & quant(c35598,one)
    & refer(c35598,indet)
    & varia(c35598,varia_c)
    & sort(mensch_1_1,d)
    & card(mensch_1_1,int1)
    & etype(mensch_1_1,int0)
    & fact(mensch_1_1,real)
    & gener(mensch_1_1,ge)
    & quant(mensch_1_1,one)
    & refer(mensch_1_1,refer_c)
    & varia(mensch_1_1,varia_c)
    & sort(eigenname_1_1,na)
    & card(eigenname_1_1,int1)
    & etype(eigenname_1_1,int0)
    & fact(eigenname_1_1,real)
    & gener(eigenname_1_1,ge)
    & quant(eigenname_1_1,one)
    & refer(eigenname_1_1,refer_c)
    & varia(eigenname_1_1,varia_c)
    & sort(rutelli_0,fe)
    & sort(c35599,o)
    & card(c35599,cons(x_constant,cons(int1,nil)))
    & etype(c35599,int1)
    & fact(c35599,real)
    & gener(c35599,gener_c)
    & quant(c35599,mult)
    & refer(c35599,indet)
    & varia(c35599,varia_c)
    & sort(kathpress_1_1,o)
    & card(kathpress_1_1,int1)
    & etype(kathpress_1_1,int0)
    & fact(kathpress_1_1,real)
    & gener(kathpress_1_1,ge)
    & quant(kathpress_1_1,one)
    & refer(kathpress_1_1,refer_c)
    & varia(kathpress_1_1,varia_c)
    & sort(c35605,o)
    & card(c35605,int1)
    & etype(c35605,int0)
    & fact(c35605,real)
    & gener(c35605,sp)
    & quant(c35605,one)
    & refer(c35605,det)
    & varia(c35605,con)
    & sort(althergebracht_1_1,nq)
    & sort(papstaudienz_1_1,o)
    & card(papstaudienz_1_1,int1)
    & etype(papstaudienz_1_1,int0)
    & fact(papstaudienz_1_1,real)
    & gener(papstaudienz_1_1,ge)
    & quant(papstaudienz_1_1,one)
    & refer(papstaudienz_1_1,refer_c)
    & varia(papstaudienz_1_1,varia_c)
    & sort(c35611,d)
    & card(c35611,int1)
    & etype(c35611,int0)
    & fact(c35611,real)
    & gener(c35611,sp)
    & quant(c35611,one)
    & refer(c35611,det)
    & varia(c35611,con)
    & sort(buergermeister_1_1,d)
    & card(buergermeister_1_1,int1)
    & etype(buergermeister_1_1,int0)
    & fact(buergermeister_1_1,real)
    & gener(buergermeister_1_1,ge)
    & quant(buergermeister_1_1,one)
    & refer(buergermeister_1_1,refer_c)
    & varia(buergermeister_1_1,varia_c)
    & sort(c35616,d)
    & sort(c35616,io)
    & card(c35616,int1)
    & etype(c35616,int1)
    & fact(c35616,real)
    & gener(c35616,sp)
    & quant(c35616,one)
    & refer(c35616,det)
    & varia(c35616,con)
    & sort(stadtrat_1_1,d)
    & sort(stadtrat_1_1,io)
    & card(stadtrat_1_1,card_c)
    & etype(stadtrat_1_1,int1)
    & fact(stadtrat_1_1,real)
    & gener(stadtrat_1_1,ge)
    & quant(stadtrat_1_1,quant_c)
    & refer(stadtrat_1_1,refer_c)
    & varia(stadtrat_1_1,varia_c)
    & sort(c35631,d)
    & sort(c35631,io)
    & card(c35631,int1)
    & etype(c35631,int0)
    & fact(c35631,real)
    & gener(c35631,sp)
    & quant(c35631,one)
    & refer(c35631,det)
    & varia(c35631,con)
    & sort(italienisch__1_1,nq)
    & sort(hauptsstadt_1_1,d)
    & sort(hauptsstadt_1_1,io)
    & card(hauptsstadt_1_1,int1)
    & etype(hauptsstadt_1_1,int0)
    & fact(hauptsstadt_1_1,real)
    & gener(hauptsstadt_1_1,ge)
    & quant(hauptsstadt_1_1,one)
    & refer(hauptsstadt_1_1,refer_c)
    & varia(hauptsstadt_1_1,varia_c)
    & sort(c35676,d)
    & card(c35676,int1)
    & etype(c35676,int0)
    & fact(c35676,real)
    & gener(c35676,sp)
    & quant(c35676,one)
    & refer(c35676,det)
    & varia(c35676,con)
    & sort(kirchenf__374rst_1_1,d)
    & card(kirchenf__374rst_1_1,int1)
    & etype(kirchenf__374rst_1_1,int0)
    & fact(kirchenf__374rst_1_1,real)
    & gener(kirchenf__374rst_1_1,ge)
    & quant(kirchenf__374rst_1_1,one)
    & refer(kirchenf__374rst_1_1,refer_c)
    & varia(kirchenf__374rst_1_1,varia_c)
    & sort(c35683,ad)
    & sort(c35683,io)
    & card(c35683,int1)
    & etype(c35683,int0)
    & fact(c35683,real)
    & gener(c35683,sp)
    & quant(c35683,one)
    & refer(c35683,det)
    & varia(c35683,varia_c)
    & sort(unbeirrt_1_1,nq)
    & sort(einsatz_1_1,ad)
    & sort(einsatz_1_1,io)
    & card(einsatz_1_1,int1)
    & etype(einsatz_1_1,int0)
    & fact(einsatz_1_1,real)
    & gener(einsatz_1_1,ge)
    & quant(einsatz_1_1,one)
    & refer(einsatz_1_1,refer_c)
    & varia(einsatz_1_1,varia_c)
    & sort(c35688,o)
    & card(c35688,int1)
    & etype(c35688,int0)
    & fact(c35688,real)
    & gener(c35688,sp)
    & quant(c35688,one)
    & refer(c35688,det)
    & varia(c35688,varia_c)
    & sort(c35694,as)
    & sort(c35694,io)
    & card(c35694,int1)
    & etype(c35694,int0)
    & fact(c35694,real)
    & gener(c35694,sp)
    & quant(c35694,one)
    & refer(c35694,det)
    & varia(c35694,con)
    & sort(friede_1_1,as)
    & sort(friede_1_1,io)
    & card(friede_1_1,int1)
    & etype(friede_1_1,int0)
    & fact(friede_1_1,real)
    & gener(friede_1_1,ge)
    & quant(friede_1_1,one)
    & refer(friede_1_1,refer_c)
    & varia(friede_1_1,varia_c)
    & sort(c35704,o)
    & card(c35704,int1)
    & etype(c35704,int0)
    & fact(c35704,real)
    & gener(c35704,gener_c)
    & quant(c35704,one)
    & refer(c35704,refer_c)
    & varia(c35704,varia_c)
    & sort(edelste_aufgabe_roms_0,fe)
    & sort(c35765,ent)
    & card(c35765,card_c)
    & etype(c35765,etype_c)
    & fact(c35765,real)
    & gener(c35765,gener_c)
    & quant(c35765,quant_c)
    & refer(c35765,refer_c)
    & varia(c35765,varia_c)
    & sort(stadt__1_1,d)
    & sort(stadt__1_1,io)
    & card(stadt__1_1,int1)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & quant(stadt__1_1,one)
    & refer(stadt__1_1,refer_c)
    & varia(stadt__1_1,varia_c)
    & sort(audienz__1_1,o)
    & card(audienz__1_1,int1)
    & etype(audienz__1_1,int0)
    & fact(audienz__1_1,real)
    & gener(audienz__1_1,ge)
    & quant(audienz__1_1,one)
    & refer(audienz__1_1,refer_c)
    & varia(audienz__1_1,varia_c)
    & sort(rat_2_1,d)
    & sort(rat_2_1,io)
    & card(rat_2_1,card_c)
    & etype(rat_2_1,int1)
    & fact(rat_2_1,real)
    & gener(rat_2_1,ge)
    & quant(rat_2_1,quant_c)
    & refer(rat_2_1,refer_c)
    & varia(rat_2_1,varia_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_004_mira_news_552_a281) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5] :
        ( in(X3,X1)
        & attr(X1,X2)
        & loc(X5,X3)
        & scar(X5,X4)
        & sub(X2,name_1_1)
        & subs(X5,stehen_1_1) ),
    inference(assume_negation,[status(cth)],[synth_qa07_004_mira_news_552_a281]) ).

fof(c_0_6,negated_conjecture,
    ! [X422,X423,X424,X425,X426] :
      ( ~ in(X424,X422)
      | ~ attr(X422,X423)
      | ~ loc(X426,X424)
      | ~ scar(X426,X425)
      | ~ sub(X423,name_1_1)
      | ~ subs(X426,stehen_1_1) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

fof(c_0_7,plain,
    ! [X438,X439] :
      ( ( loc(esk3_2(X438,X439),X439)
        | ~ loc(X438,X439) )
      & ( scar(esk3_2(X438,X439),X438)
        | ~ loc(X438,X439) )
      & ( subs(esk3_2(X438,X439),stehen_1_1)
        | ~ loc(X438,X439) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[loc__stehen_1_1_loc])])])]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ in(X1,X2)
    | ~ attr(X2,X3)
    | ~ loc(X4,X1)
    | ~ scar(X4,X5)
    | ~ sub(X3,name_1_1)
    | ~ subs(X4,stehen_1_1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( subs(esk3_2(X1,X2),stehen_1_1)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ in(X1,X2)
    | ~ attr(X2,X3)
    | ~ scar(esk3_2(X4,X5),X6)
    | ~ loc(esk3_2(X4,X5),X1)
    | ~ loc(X4,X5)
    | ~ sub(X3,name_1_1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,plain,
    ( scar(esk3_2(X1,X2),X1)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ in(X1,X2)
    | ~ attr(X2,X3)
    | ~ loc(esk3_2(X4,X5),X1)
    | ~ loc(X4,X5)
    | ~ sub(X3,name_1_1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,plain,
    ( loc(esk3_2(X1,X2),X2)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_14,plain,
    ! [X471,X472,X473] :
      ( ( in(esk12_3(X471,X472,X473),esk10_3(X471,X472,X473))
        | ~ prop(X471,X472)
        | ~ state_adjective_state_binding(X472,X473) )
      & ( attr(esk10_3(X471,X472,X473),esk11_3(X471,X472,X473))
        | ~ prop(X471,X472)
        | ~ state_adjective_state_binding(X472,X473) )
      & ( loc(X471,esk12_3(X471,X472,X473))
        | ~ prop(X471,X472)
        | ~ state_adjective_state_binding(X472,X473) )
      & ( sub(esk10_3(X471,X472,X473),land_1_1)
        | ~ prop(X471,X472)
        | ~ state_adjective_state_binding(X472,X473) )
      & ( sub(esk11_3(X471,X472,X473),name_1_1)
        | ~ prop(X471,X472)
        | ~ state_adjective_state_binding(X472,X473) )
      & ( val(esk11_3(X471,X472,X473),X473)
        | ~ prop(X471,X472)
        | ~ state_adjective_state_binding(X472,X473) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[state_adjective__in_state])])])])]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ in(X1,X2)
    | ~ attr(X2,X3)
    | ~ loc(X4,X1)
    | ~ sub(X3,name_1_1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    ( sub(esk11_3(X1,X2,X3),name_1_1)
    | ~ prop(X1,X2)
    | ~ state_adjective_state_binding(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ state_adjective_state_binding(X1,X2)
    | ~ prop(X3,X1)
    | ~ in(X4,X5)
    | ~ attr(X5,esk11_3(X3,X1,X2))
    | ~ loc(X6,X4) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_18,plain,
    ( attr(esk10_3(X1,X2,X3),esk11_3(X1,X2,X3))
    | ~ prop(X1,X2)
    | ~ state_adjective_state_binding(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ state_adjective_state_binding(X1,X2)
    | ~ prop(X3,X1)
    | ~ in(X4,esk10_3(X3,X1,X2))
    | ~ loc(X5,X4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_20,plain,
    ( in(esk12_3(X1,X2,X3),esk10_3(X1,X2,X3))
    | ~ prop(X1,X2)
    | ~ state_adjective_state_binding(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ state_adjective_state_binding(X1,X2)
    | ~ prop(X3,X1)
    | ~ loc(X4,esk12_3(X3,X1,X2)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,plain,
    ( loc(X1,esk12_3(X1,X2,X3))
    | ~ prop(X1,X2)
    | ~ state_adjective_state_binding(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ state_adjective_state_binding(X1,X2)
    | ~ prop(X3,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_24,plain,
    state_adjective_state_binding(italienisch__1_1,italien_0),
    inference(split_conjunct,[status(thm)],[fact_8886]) ).

cnf(c_0_25,hypothesis,
    prop(c35631,italienisch__1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_004_mira_news_552_a281]) ).

cnf(c_0_26,negated_conjecture,
    ~ prop(X1,italienisch__1_1),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_25,c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR114+9 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n029.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Mon May  4 17:05:44 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.71/2.04  % Version  : CSE_E---1.7
% 1.71/2.04  % Problem  : theBenchmark.p
% 1.71/2.04  % SZS status Theorem for theBenchmark.p
% 1.71/2.04  % SZS output start CNFRefutation
% See solution above
% 1.71/2.04  % Total time : 1.664s
%------------------------------------------------------------------------------