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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR113+8 : 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 : n005.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 04:15:29 PM UTC 2026

% Result   : Theorem 1.79s 2.04s
% Output   : CNFRefutation 1.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :  324 (   0 equ)
%            Maximal formula atoms :  254 (  13 avg)
%            Number of connectives :  340 (  40   ~;  31   |; 267   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  254 (  15 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-9 aty)
%            Number of functors    :   69 (  69 usr;  67 con; 0-3 aty)
%            Number of variables   :   57 (  14 sgn  20   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_003_mira_news_520_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/sandbox2/benchmark/theBenchmark.p',synth_qa07_003_mira_news_520_a19713) ).

fof(ave07_era5_synth_qa07_003_mira_news_520_a19713,hypothesis,
    ( attr(c18,c19)
    & sub(c18,stadt__1_1)
    & sub(c19,name_1_1)
    & val(c19,washington_0)
    & attr(c25,c26)
    & attr(c25,c27)
    & sub(c26,tag_1_1)
    & val(c26,c23)
    & sub(c27,monat_1_1)
    & val(c27,c24)
    & pred(c78576,masse_1_1)
    & sub(c78582,sich_1_1)
    & sub(c78588,freiheit_1_1)
    & prop(c78613,ber__374hmt_1_1)
    & pred(c78615,wort_2_1)
    & sub(c78624,freiheitsstatue_1_1)
    & attr(c78630,c78631)
    & sub(c78630,stadt__1_1)
    & sub(c78631,name_1_1)
    & val(c78631,new_york_0)
    & tupl_p9(c79332,c78559,c78576,c78582,c78588,c78613,c78615,c78624,c78630)
    & tupl(c92,c18,c25)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & sort(c18,d)
    & sort(c18,io)
    & card(c18,int1)
    & etype(c18,int0)
    & fact(c18,real)
    & gener(c18,sp)
    & quant(c18,one)
    & refer(c18,det)
    & varia(c18,con)
    & sort(c19,na)
    & card(c19,int1)
    & etype(c19,int0)
    & fact(c19,real)
    & gener(c19,sp)
    & quant(c19,one)
    & refer(c19,indet)
    & varia(c19,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(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(washington_0,fe)
    & sort(c25,t)
    & card(c25,int1)
    & etype(c25,int0)
    & fact(c25,real)
    & gener(c25,sp)
    & quant(c25,one)
    & refer(c25,det)
    & varia(c25,con)
    & sort(c26,me)
    & sort(c26,oa)
    & sort(c26,ta)
    & card(c26,card_c)
    & etype(c26,etype_c)
    & fact(c26,real)
    & gener(c26,sp)
    & quant(c26,quant_c)
    & refer(c26,refer_c)
    & varia(c26,varia_c)
    & sort(c27,me)
    & sort(c27,oa)
    & sort(c27,ta)
    & card(c27,card_c)
    & etype(c27,etype_c)
    & fact(c27,real)
    & gener(c27,sp)
    & quant(c27,quant_c)
    & refer(c27,refer_c)
    & varia(c27,varia_c)
    & sort(tag_1_1,me)
    & sort(tag_1_1,oa)
    & sort(tag_1_1,ta)
    & card(tag_1_1,card_c)
    & etype(tag_1_1,etype_c)
    & fact(tag_1_1,real)
    & gener(tag_1_1,ge)
    & quant(tag_1_1,quant_c)
    & refer(tag_1_1,refer_c)
    & varia(tag_1_1,varia_c)
    & sort(c23,nu)
    & card(c23,int2)
    & sort(monat_1_1,me)
    & sort(monat_1_1,oa)
    & sort(monat_1_1,ta)
    & card(monat_1_1,card_c)
    & etype(monat_1_1,etype_c)
    & fact(monat_1_1,real)
    & gener(monat_1_1,ge)
    & quant(monat_1_1,quant_c)
    & refer(monat_1_1,refer_c)
    & varia(monat_1_1,varia_c)
    & sort(c24,nu)
    & card(c24,int3)
    & sort(c78576,io)
    & card(c78576,cons(x_constant,cons(int1,nil)))
    & etype(c78576,int2)
    & fact(c78576,real)
    & gener(c78576,gener_c)
    & quant(c78576,mult)
    & refer(c78576,indet)
    & varia(c78576,varia_c)
    & sort(masse_1_1,io)
    & card(masse_1_1,card_c)
    & etype(masse_1_1,int1)
    & fact(masse_1_1,real)
    & gener(masse_1_1,ge)
    & quant(masse_1_1,quant_c)
    & refer(masse_1_1,refer_c)
    & varia(masse_1_1,varia_c)
    & sort(c78582,o)
    & card(c78582,int1)
    & etype(c78582,int0)
    & fact(c78582,real)
    & gener(c78582,gener_c)
    & quant(c78582,one)
    & refer(c78582,refer_c)
    & varia(c78582,varia_c)
    & sort(sich_1_1,o)
    & card(sich_1_1,int1)
    & etype(sich_1_1,int0)
    & fact(sich_1_1,real)
    & gener(sich_1_1,gener_c)
    & quant(sich_1_1,one)
    & refer(sich_1_1,refer_c)
    & varia(sich_1_1,varia_c)
    & sort(c78588,as)
    & sort(c78588,io)
    & card(c78588,int1)
    & etype(c78588,int0)
    & fact(c78588,real)
    & gener(c78588,sp)
    & quant(c78588,one)
    & refer(c78588,det)
    & varia(c78588,con)
    & 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(c78613,o)
    & card(c78613,cons(x_constant,cons(int1,nil)))
    & etype(c78613,int1)
    & fact(c78613,real)
    & gener(c78613,sp)
    & quant(c78613,mult)
    & refer(c78613,det)
    & varia(c78613,con)
    & sort(ber__374hmt_1_1,nq)
    & sort(c78615,d)
    & sort(c78615,io)
    & card(c78615,cons(x_constant,cons(int1,nil)))
    & etype(c78615,int1)
    & fact(c78615,real)
    & gener(c78615,gener_c)
    & quant(c78615,mult)
    & refer(c78615,indet)
    & varia(c78615,varia_c)
    & sort(wort_2_1,d)
    & sort(wort_2_1,io)
    & card(wort_2_1,int1)
    & etype(wort_2_1,int0)
    & fact(wort_2_1,real)
    & gener(wort_2_1,ge)
    & quant(wort_2_1,one)
    & refer(wort_2_1,refer_c)
    & varia(wort_2_1,varia_c)
    & sort(c78624,d)
    & card(c78624,int1)
    & etype(c78624,int0)
    & fact(c78624,real)
    & gener(c78624,sp)
    & quant(c78624,one)
    & refer(c78624,det)
    & varia(c78624,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(c78630,d)
    & sort(c78630,io)
    & card(c78630,int1)
    & etype(c78630,int0)
    & fact(c78630,real)
    & gener(c78630,sp)
    & quant(c78630,one)
    & refer(c78630,det)
    & varia(c78630,con)
    & sort(c78631,na)
    & card(c78631,int1)
    & etype(c78631,int0)
    & fact(c78631,real)
    & gener(c78631,sp)
    & quant(c78631,one)
    & refer(c78631,indet)
    & varia(c78631,varia_c)
    & sort(new_york_0,fe)
    & sort(c79332,ent)
    & card(c79332,card_c)
    & etype(c79332,etype_c)
    & fact(c79332,real)
    & gener(c79332,gener_c)
    & quant(c79332,quant_c)
    & refer(c79332,refer_c)
    & varia(c79332,varia_c)
    & sort(c78559,d)
    & card(c78559,int1)
    & etype(c78559,int0)
    & fact(c78559,real)
    & gener(c78559,sp)
    & quant(c78559,one)
    & refer(c78559,det)
    & varia(c78559,varia_c)
    & sort(c92,ent)
    & card(c92,card_c)
    & etype(c92,etype_c)
    & fact(c92,real)
    & gener(c92,gener_c)
    & quant(c92,quant_c)
    & refer(c92,refer_c)
    & varia(c92,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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_003_mira_news_520_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/sandbox2/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/sandbox2/benchmark/Axioms/CSR004+0.ax',member_second) ).

fof(member_first,axiom,
    ! [X1,X2] : member(X1,cons(X1,X2)),
    file('/export/starexec/sandbox2/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_news_520_a19713]) ).

fof(c_0_6,negated_conjecture,
    ! [X409,X410,X411,X412] :
      ( ~ attr(X410,X409)
      | ~ scar(X411,X412)
      | ~ sub(X409,name_1_1)
      | ~ val(X409,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(c78631,new_york_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_news_520_a19713]) ).

cnf(c_0_9,hypothesis,
    sub(c78631,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_news_520_a19713]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ attr(X1,c78631)
    | ~ 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(c78630,c78631),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_mira_news_520_a19713]) ).

fof(c_0_12,plain,
    ! [X708,X709,X710] :
      ( ( mcont(esk44_3(X708,X709,X710),X710)
        | ~ attr(X710,X708)
        | ~ member(X709,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X708,X709) )
      & ( obj(esk44_3(X708,X709,X710),X710)
        | ~ attr(X710,X708)
        | ~ member(X709,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X708,X709) )
      & ( scar(esk44_3(X708,X709,X710),X710)
        | ~ attr(X710,X708)
        | ~ member(X709,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X708,X709) )
      & ( subs(esk44_3(X708,X709,X710),stehen_1_b)
        | ~ attr(X710,X708)
        | ~ member(X709,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X708,X709) ) ),
    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(esk44_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,
    ! [X507,X508,X509] :
      ( ~ member(X507,X509)
      | member(X507,cons(X508,X509)) ),
    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]) ).

cnf(c_0_18,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]) ).

fof(c_0_19,plain,
    ! [X505,X506] : member(X505,cons(X505,X506)),
    inference(variable_rename,[status(thm)],[member_first]) ).

cnf(c_0_20,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(X2,X3)
    | ~ member(X3,cons(name_1_1,nil)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_21,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(X2,name_1_1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_11]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR113+8 : 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
% 0.16/0.33  % Computer : n005.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 17:04:30 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 1.79/2.04  % Version  : CSE_E---1.7
% 1.79/2.04  % Problem  : theBenchmark.p
% 1.79/2.04  % SZS status Theorem for theBenchmark.p
% 1.79/2.04  % SZS output start CNFRefutation
% See solution above
% 1.79/2.04  % Total time : 1.662s
%------------------------------------------------------------------------------