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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR113+22 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n021.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 04:15:27 PM UTC 2026

% Result   : Theorem 1.74s 2.04s
% Output   : CNFRefutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  10 unt;   0 def)
%            Number of atoms       :  331 (   0 equ)
%            Maximal formula atoms :  262 (  13 avg)
%            Number of connectives :  343 (  37   ~;  29   |; 275   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  262 (  14 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-9 aty)
%            Number of functors    :   64 (  64 usr;  62 con; 0-3 aty)
%            Number of variables   :   54 (  13 sgn  20   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_003_mira_wp_245_a19713,conjecture,
    ? [X1,X2,X3,X4] :
      ( attr(X2,X1)
      & scar(X3,X4)
      & sub(X1,name_1_1)
      & val(X1,new_york_0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_003_mira_wp_245_a19713) ).

fof(ave07_era5_synth_qa07_003_mira_wp_245_a19713,hypothesis,
    ( tupl_p9(c188,c28,c39,c56,c69,c74,c79,c83,c92)
    & sub(c28,freiheitsinsel_1_1)
    & pred(c39,bedloe_1_1)
    & attr(c56,c57)
    & sub(c56,gebietsinstitution_1_1)
    & sub(c57,name_1_1)
    & val(c57,island_0)
    & prop(c69,klein_1_1)
    & prop(c69,unbesiedelt_1_1)
    & sub(c69,insel__1_1)
    & sub(c74,upper_1_1)
    & attr(c79,c80)
    & sub(c79,stadt__1_1)
    & sub(c80,name_1_1)
    & val(c80,new_york_0)
    & attr(c83,c84)
    & sub(c83,mensch_1_1)
    & sub(c84,familiename_1_1)
    & val(c84,bay_0)
    & sub(c92,standort_1_1)
    & attch(c96,c92)
    & sub(c96,freiheitsstatue_1_1)
    & assoc(freiheitsinsel_1_1,freiheit_1_1)
    & sub(freiheitsinsel_1_1,insel__1_1)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & assoc(standort_1_1,stand_1_1)
    & sub(standort_1_1,ort_1_2)
    & sort(c188,ent)
    & card(c188,card_c)
    & etype(c188,etype_c)
    & fact(c188,real)
    & gener(c188,gener_c)
    & quant(c188,quant_c)
    & refer(c188,refer_c)
    & varia(c188,varia_c)
    & sort(c28,d)
    & card(c28,int1)
    & etype(c28,int0)
    & fact(c28,real)
    & gener(c28,gener_c)
    & quant(c28,one)
    & refer(c28,refer_c)
    & varia(c28,varia_c)
    & sort(c39,o)
    & card(c39,cons(x_constant,cons(int1,nil)))
    & etype(c39,int1)
    & fact(c39,real)
    & gener(c39,gener_c)
    & quant(c39,mult)
    & refer(c39,indet)
    & varia(c39,varia_c)
    & sort(c56,d)
    & sort(c56,io)
    & card(c56,int1)
    & etype(c56,int0)
    & fact(c56,real)
    & gener(c56,sp)
    & quant(c56,one)
    & refer(c56,det)
    & varia(c56,con)
    & sort(c69,d)
    & card(c69,int1)
    & etype(c69,int0)
    & fact(c69,real)
    & gener(c69,sp)
    & quant(c69,one)
    & refer(c69,indet)
    & varia(c69,varia_c)
    & sort(c74,o)
    & card(c74,int1)
    & etype(c74,int0)
    & fact(c74,real)
    & gener(c74,sp)
    & quant(c74,one)
    & refer(c74,det)
    & varia(c74,con)
    & sort(c79,d)
    & sort(c79,io)
    & card(c79,int1)
    & etype(c79,int0)
    & fact(c79,real)
    & gener(c79,sp)
    & quant(c79,one)
    & refer(c79,det)
    & varia(c79,con)
    & sort(c83,d)
    & card(c83,int1)
    & etype(c83,int0)
    & fact(c83,real)
    & gener(c83,sp)
    & quant(c83,one)
    & refer(c83,det)
    & varia(c83,con)
    & sort(c92,d)
    & card(c92,int1)
    & etype(c92,int0)
    & fact(c92,real)
    & gener(c92,sp)
    & quant(c92,one)
    & refer(c92,det)
    & varia(c92,varia_c)
    & sort(freiheitsinsel_1_1,d)
    & card(freiheitsinsel_1_1,int1)
    & etype(freiheitsinsel_1_1,int0)
    & fact(freiheitsinsel_1_1,real)
    & gener(freiheitsinsel_1_1,ge)
    & quant(freiheitsinsel_1_1,one)
    & refer(freiheitsinsel_1_1,refer_c)
    & varia(freiheitsinsel_1_1,varia_c)
    & sort(bedloe_1_1,o)
    & card(bedloe_1_1,int1)
    & etype(bedloe_1_1,int0)
    & fact(bedloe_1_1,real)
    & gener(bedloe_1_1,ge)
    & quant(bedloe_1_1,one)
    & refer(bedloe_1_1,refer_c)
    & varia(bedloe_1_1,varia_c)
    & sort(c57,na)
    & card(c57,int1)
    & etype(c57,int0)
    & fact(c57,real)
    & gener(c57,sp)
    & quant(c57,one)
    & refer(c57,indet)
    & varia(c57,varia_c)
    & sort(gebietsinstitution_1_1,d)
    & sort(gebietsinstitution_1_1,io)
    & card(gebietsinstitution_1_1,int1)
    & etype(gebietsinstitution_1_1,int0)
    & fact(gebietsinstitution_1_1,real)
    & gener(gebietsinstitution_1_1,ge)
    & quant(gebietsinstitution_1_1,one)
    & refer(gebietsinstitution_1_1,refer_c)
    & varia(gebietsinstitution_1_1,varia_c)
    & sort(name_1_1,na)
    & card(name_1_1,int1)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & quant(name_1_1,one)
    & refer(name_1_1,refer_c)
    & varia(name_1_1,varia_c)
    & sort(island_0,fe)
    & sort(klein_1_1,mq)
    & sort(unbesiedelt_1_1,ql)
    & sort(insel__1_1,d)
    & card(insel__1_1,int1)
    & etype(insel__1_1,int0)
    & fact(insel__1_1,real)
    & gener(insel__1_1,ge)
    & quant(insel__1_1,one)
    & refer(insel__1_1,refer_c)
    & varia(insel__1_1,varia_c)
    & sort(upper_1_1,o)
    & card(upper_1_1,int1)
    & etype(upper_1_1,int0)
    & fact(upper_1_1,real)
    & gener(upper_1_1,ge)
    & quant(upper_1_1,one)
    & refer(upper_1_1,refer_c)
    & varia(upper_1_1,varia_c)
    & sort(c80,na)
    & card(c80,int1)
    & etype(c80,int0)
    & fact(c80,real)
    & gener(c80,sp)
    & quant(c80,one)
    & refer(c80,indet)
    & varia(c80,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(new_york_0,fe)
    & sort(c84,na)
    & card(c84,int1)
    & etype(c84,int0)
    & fact(c84,real)
    & gener(c84,sp)
    & quant(c84,one)
    & refer(c84,indet)
    & varia(c84,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(familiename_1_1,na)
    & card(familiename_1_1,int1)
    & etype(familiename_1_1,int0)
    & fact(familiename_1_1,real)
    & gener(familiename_1_1,ge)
    & quant(familiename_1_1,one)
    & refer(familiename_1_1,refer_c)
    & varia(familiename_1_1,varia_c)
    & sort(bay_0,fe)
    & sort(standort_1_1,d)
    & card(standort_1_1,int1)
    & etype(standort_1_1,int0)
    & fact(standort_1_1,real)
    & gener(standort_1_1,ge)
    & quant(standort_1_1,one)
    & refer(standort_1_1,refer_c)
    & varia(standort_1_1,varia_c)
    & sort(c96,d)
    & card(c96,int1)
    & etype(c96,int0)
    & fact(c96,real)
    & gener(c96,sp)
    & quant(c96,one)
    & refer(c96,det)
    & varia(c96,con)
    & sort(freiheitsstatue_1_1,d)
    & card(freiheitsstatue_1_1,int1)
    & etype(freiheitsstatue_1_1,int0)
    & fact(freiheitsstatue_1_1,real)
    & gener(freiheitsstatue_1_1,ge)
    & quant(freiheitsstatue_1_1,one)
    & refer(freiheitsstatue_1_1,refer_c)
    & varia(freiheitsstatue_1_1,varia_c)
    & sort(freiheit_1_1,as)
    & sort(freiheit_1_1,io)
    & card(freiheit_1_1,int1)
    & etype(freiheit_1_1,int0)
    & fact(freiheit_1_1,real)
    & gener(freiheit_1_1,ge)
    & quant(freiheit_1_1,one)
    & refer(freiheit_1_1,refer_c)
    & varia(freiheit_1_1,varia_c)
    & sort(statue_1_1,d)
    & card(statue_1_1,int1)
    & etype(statue_1_1,int0)
    & fact(statue_1_1,real)
    & gener(statue_1_1,ge)
    & quant(statue_1_1,one)
    & refer(statue_1_1,refer_c)
    & varia(statue_1_1,varia_c)
    & sort(stand_1_1,d)
    & card(stand_1_1,int1)
    & etype(stand_1_1,int0)
    & fact(stand_1_1,real)
    & gener(stand_1_1,ge)
    & quant(stand_1_1,one)
    & refer(stand_1_1,refer_c)
    & varia(stand_1_1,varia_c)
    & sort(ort_1_2,d)
    & card(ort_1_2,int1)
    & etype(ort_1_2,int0)
    & fact(ort_1_2,real)
    & gener(ort_1_2,ge)
    & quant(ort_1_2,one)
    & refer(ort_1_2,refer_c)
    & varia(ort_1_2,varia_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_245_a19713) ).

fof(attr_name__abk__374rzung_stehen_1_b_f__374r,axiom,
    ! [X1,X2,X3] :
      ( ( attr(X3,X1)
        & member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        & sub(X1,X2) )
     => ? [X4] :
          ( mcont(X4,X3)
          & obj(X4,X3)
          & scar(X4,X3)
          & subs(X4,stehen_1_b) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',attr_name__abk__374rzung_stehen_1_b_f__374r) ).

fof(member_second,axiom,
    ! [X1,X2,X3] :
      ( member(X1,X3)
     => member(X1,cons(X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',member_second) ).

fof(member_first,axiom,
    ! [X1,X2] : member(X1,cons(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',member_first) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X1,X2,X3,X4] :
        ( attr(X2,X1)
        & scar(X3,X4)
        & sub(X1,name_1_1)
        & val(X1,new_york_0) ),
    inference(assume_negation,[status(cth)],[synth_qa07_003_mira_wp_245_a19713]) ).

fof(c_0_6,negated_conjecture,
    ! [X413,X414,X415,X416] :
      ( ~ attr(X414,X413)
      | ~ scar(X415,X416)
      | ~ sub(X413,name_1_1)
      | ~ val(X413,new_york_0) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ attr(X1,X2)
    | ~ scar(X3,X4)
    | ~ sub(X2,name_1_1)
    | ~ val(X2,new_york_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_8,hypothesis,
    val(c80,new_york_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_245_a19713]) ).

cnf(c_0_9,hypothesis,
    sub(c80,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_245_a19713]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ attr(X1,c80)
    | ~ scar(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_11,hypothesis,
    attr(c79,c80),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_245_a19713]) ).

fof(c_0_12,plain,
    ! [X513,X514,X515] :
      ( ( mcont(esk15_3(X513,X514,X515),X515)
        | ~ attr(X515,X513)
        | ~ member(X514,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X513,X514) )
      & ( obj(esk15_3(X513,X514,X515),X515)
        | ~ attr(X515,X513)
        | ~ member(X514,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X513,X514) )
      & ( scar(esk15_3(X513,X514,X515),X515)
        | ~ attr(X515,X513)
        | ~ member(X514,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X513,X514) )
      & ( subs(esk15_3(X513,X514,X515),stehen_1_b)
        | ~ attr(X515,X513)
        | ~ member(X514,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X513,X514) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[attr_name__abk__374rzung_stehen_1_b_f__374r])])])]) ).

cnf(c_0_13,hypothesis,
    ~ scar(X1,X2),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( scar(esk15_3(X1,X2,X3),X3)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ! [X524,X525,X526] :
      ( ~ member(X524,X526)
      | member(X524,cons(X525,X526)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[member_second])]) ).

cnf(c_0_16,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(X2,X3)
    | ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,plain,
    ( member(X1,cons(X3,X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X522,X523] : member(X522,cons(X522,X523)),
    inference(variable_rename,[status(thm)],[member_first]) ).

cnf(c_0_19,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(X2,X3)
    | ~ member(X3,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(X2,familiename_1_1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,hypothesis,
    attr(c83,c84),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_245_a19713]) ).

cnf(c_0_23,hypothesis,
    sub(c84,familiename_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_wp_245_a19713]) ).

cnf(c_0_24,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : CSR113+22 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n021.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Mon May  4 17:04:55 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 1.74/2.04  % Version  : CSE_E---1.7
% 1.74/2.04  % Problem  : theBenchmark.p
% 1.74/2.04  % SZS status Theorem for theBenchmark.p
% 1.74/2.04  % SZS output start CNFRefutation
% See solution above
% 1.74/2.04  % Total time : 1.663s
%------------------------------------------------------------------------------