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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : CSR113+9 : TPTP v9.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n028.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 : Thu Jul 24 11:19:28 AM UTC 2025

% Result   : Theorem 30.05s 4.31s
% Output   : CNFRefutation 30.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   44 (  20 unt;   0 def)
%            Number of atoms       :  353 (   0 equ)
%            Maximal formula atoms :  258 (   8 avg)
%            Number of connectives :  345 (  36   ~;  33   |; 272   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  258 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-12 aty)
%            Number of functors    :   62 (  62 usr;  59 con; 0-3 aty)
%            Number of variables   :   44 (   5 sgn  13   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_003_mira_wp_176,plain,
    ? [X0,X1,X2,X3] :
      ( attr(X1,X0)
      & scar(X2,X3)
      & sub(X0,name_1_1)
      & val(X0,usa_0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_003_mira_wp_176) ).

fof(synth_qa07_003_mira_wp_176_negated,plain,
    ~ ? [X0,X1,X2,X3] :
        ( attr(X1,X0)
        & scar(X2,X3)
        & sub(X0,name_1_1)
        & val(X0,usa_0) ),
    inference(negate_conjecture,[status(cth)],[synth_qa07_003_mira_wp_176]) ).

cnf(10360,plain,
    ( ~ sub(X0,name_1_1)
    | ~ scar(X1,X2)
    | ~ attr(X3,X0)
    | ~ val(X0,usa_0) ),
    inference(cnf,[status(esa)],[synth_qa07_003_mira_wp_176_negated]) ).

cnf(l0,plain,
    ( ~ sub(sK61(usa_0,c17910),name_1_1)
    | ~ scar(sK52(c17885,name_1_1,c17884),c17884)
    | ~ attr(c17910,sK61(usa_0,c17910))
    | ~ val(sK61(usa_0,c17910),usa_0) ),
    inference(instantiation,[status(thm)],[10360]) ).

fof(name_rel__attr_val_name_1_1,plain,
    ! [X0,X1] :
      ( name(X1,X0)
     => ? [X2] :
          ( attr(X1,X2)
          & sub(X2,name_1_1)
          & val(X2,X0) ) ),
    file('Axioms/CSR004+0.ax',name_rel__attr_val_name_1_1) ).

cnf(343,plain,
    ( ~ name(X0,X1)
    | attr(X0,sK61(X1,X0)) ),
    inference(cnf,[status(esa)],[name_rel__attr_val_name_1_1]) ).

cnf(l4,plain,
    ( ~ name(c17910,usa_0)
    | attr(c17910,sK61(usa_0,c17910)) ),
    inference(instantiation,[status(thm)],[343]) ).

fof(attr_val_name_1_1__name_rel,plain,
    ! [X0,X1,X2] :
      ( ( attr(X2,X0)
        & sub(X0,name_1_1)
        & val(X0,X1) )
     => name(X2,X1) ),
    file('Axioms/CSR004+0.ax',attr_val_name_1_1__name_rel) ).

cnf(346,plain,
    ( ~ sub(X0,name_1_1)
    | ~ attr(X1,X0)
    | ~ val(X0,X2)
    | name(X1,X2) ),
    inference(cnf,[status(esa)],[attr_val_name_1_1__name_rel]) ).

cnf(l36,plain,
    ( ~ sub(c17911,name_1_1)
    | ~ attr(c17910,c17911)
    | ~ val(c17911,usa_0)
    | name(c17910,usa_0) ),
    inference(instantiation,[status(thm)],[346]) ).

fof(ave07_era5_synth_qa07_003_mira_wp_176,plain,
    ( sub(c17877,freiheitsstatue_1_1)
    & attr(c17884,c17885)
    & sub(c17884,stadt__1_1)
    & sub(c17885,name_1_1)
    & val(c17885,new_york_0)
    & sub(c17888,fackel_1_1)
    & sub(c17893,buch__1_1)
    & sub(c17899,zeichen_1_1)
    & attr(c17910,c17911)
    & sub(c17910,land_1_1)
    & sub(c17911,name_1_1)
    & val(c17911,usa_0)
    & pred(c17913,b__374rger__1_1)
    & sub(c17919,zugang_1_1)
    & subs(c17925,bildung_1_1)
    & subs(c17930,erreichen_2_1)
    & attr(c17940,c17941)
    & sub(c17940,stadt__1_1)
    & sub(c17941,name_1_1)
    & val(c17941,wissen_0)
    & tupl_p12(c18018,c17877,c17884,c17888,c17893,c17899,c17910,c17913,c17919,c17925,c17930,c17940)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & sort(c17877,d)
    & card(c17877,int1)
    & etype(c17877,int0)
    & fact(c17877,real)
    & gener(c17877,sp)
    & quant(c17877,one)
    & refer(c17877,det)
    & varia(c17877,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(c17884,d)
    & sort(c17884,io)
    & card(c17884,int1)
    & etype(c17884,int0)
    & fact(c17884,real)
    & gener(c17884,sp)
    & quant(c17884,one)
    & refer(c17884,det)
    & varia(c17884,con)
    & sort(c17885,na)
    & card(c17885,int1)
    & etype(c17885,int0)
    & fact(c17885,real)
    & gener(c17885,sp)
    & quant(c17885,one)
    & refer(c17885,indet)
    & varia(c17885,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(new_york_0,fe)
    & sort(c17888,d)
    & card(c17888,int1)
    & etype(c17888,int0)
    & fact(c17888,real)
    & gener(c17888,sp)
    & quant(c17888,one)
    & refer(c17888,indet)
    & varia(c17888,varia_c)
    & sort(fackel_1_1,d)
    & card(fackel_1_1,int1)
    & etype(fackel_1_1,int0)
    & fact(fackel_1_1,real)
    & gener(fackel_1_1,ge)
    & quant(fackel_1_1,one)
    & refer(fackel_1_1,refer_c)
    & varia(fackel_1_1,varia_c)
    & sort(c17893,d)
    & sort(c17893,io)
    & card(c17893,int1)
    & etype(c17893,int0)
    & fact(c17893,real)
    & gener(c17893,sp)
    & quant(c17893,one)
    & refer(c17893,indet)
    & varia(c17893,varia_c)
    & sort(buch__1_1,d)
    & sort(buch__1_1,io)
    & card(buch__1_1,int1)
    & etype(buch__1_1,int0)
    & fact(buch__1_1,real)
    & gener(buch__1_1,ge)
    & quant(buch__1_1,one)
    & refer(buch__1_1,refer_c)
    & varia(buch__1_1,varia_c)
    & sort(c17899,io)
    & card(c17899,int1)
    & etype(c17899,int0)
    & fact(c17899,real)
    & gener(c17899,sp)
    & quant(c17899,one)
    & refer(c17899,det)
    & varia(c17899,con)
    & sort(zeichen_1_1,io)
    & card(zeichen_1_1,int1)
    & etype(zeichen_1_1,int0)
    & fact(zeichen_1_1,real)
    & gener(zeichen_1_1,ge)
    & quant(zeichen_1_1,one)
    & refer(zeichen_1_1,refer_c)
    & varia(zeichen_1_1,varia_c)
    & sort(c17910,d)
    & sort(c17910,io)
    & card(c17910,int1)
    & etype(c17910,int0)
    & fact(c17910,real)
    & gener(c17910,sp)
    & quant(c17910,one)
    & refer(c17910,det)
    & varia(c17910,con)
    & sort(c17911,na)
    & card(c17911,int1)
    & etype(c17911,int0)
    & fact(c17911,real)
    & gener(c17911,sp)
    & quant(c17911,one)
    & refer(c17911,indet)
    & varia(c17911,varia_c)
    & sort(land_1_1,d)
    & sort(land_1_1,io)
    & card(land_1_1,int1)
    & etype(land_1_1,int0)
    & fact(land_1_1,real)
    & gener(land_1_1,ge)
    & quant(land_1_1,one)
    & refer(land_1_1,refer_c)
    & varia(land_1_1,varia_c)
    & sort(usa_0,fe)
    & sort(c17913,d)
    & card(c17913,cons(x_constant,cons(int1,nil)))
    & etype(c17913,int1)
    & fact(c17913,real)
    & gener(c17913,gener_c)
    & quant(c17913,all)
    & refer(c17913,det)
    & varia(c17913,con)
    & sort(b__374rger__1_1,d)
    & card(b__374rger__1_1,int1)
    & etype(b__374rger__1_1,int0)
    & fact(b__374rger__1_1,real)
    & gener(b__374rger__1_1,ge)
    & quant(b__374rger__1_1,one)
    & refer(b__374rger__1_1,refer_c)
    & varia(b__374rger__1_1,varia_c)
    & sort(c17919,d)
    & card(c17919,int1)
    & etype(c17919,int0)
    & fact(c17919,real)
    & gener(c17919,gener_c)
    & quant(c17919,one)
    & refer(c17919,refer_c)
    & varia(c17919,varia_c)
    & sort(zugang_1_1,d)
    & card(zugang_1_1,int1)
    & etype(zugang_1_1,int0)
    & fact(zugang_1_1,real)
    & gener(zugang_1_1,ge)
    & quant(zugang_1_1,one)
    & refer(zugang_1_1,refer_c)
    & varia(zugang_1_1,varia_c)
    & sort(c17925,ad)
    & card(c17925,int1)
    & etype(c17925,int0)
    & fact(c17925,real)
    & gener(c17925,sp)
    & quant(c17925,one)
    & refer(c17925,det)
    & varia(c17925,con)
    & sort(bildung_1_1,ad)
    & card(bildung_1_1,int1)
    & etype(bildung_1_1,int0)
    & fact(bildung_1_1,real)
    & gener(bildung_1_1,ge)
    & quant(bildung_1_1,one)
    & refer(bildung_1_1,refer_c)
    & varia(bildung_1_1,varia_c)
    & sort(c17930,ad)
    & card(c17930,int1)
    & etype(c17930,int0)
    & fact(c17930,real)
    & gener(c17930,sp)
    & quant(c17930,one)
    & refer(c17930,det)
    & varia(c17930,con)
    & sort(erreichen_2_1,ad)
    & card(erreichen_2_1,int1)
    & etype(erreichen_2_1,int0)
    & fact(erreichen_2_1,real)
    & gener(erreichen_2_1,ge)
    & quant(erreichen_2_1,one)
    & refer(erreichen_2_1,refer_c)
    & varia(erreichen_2_1,varia_c)
    & sort(c17940,d)
    & sort(c17940,io)
    & card(c17940,int1)
    & etype(c17940,int0)
    & fact(c17940,real)
    & gener(c17940,sp)
    & quant(c17940,one)
    & refer(c17940,det)
    & varia(c17940,con)
    & sort(c17941,na)
    & card(c17941,int1)
    & etype(c17941,int0)
    & fact(c17941,real)
    & gener(c17941,sp)
    & quant(c17941,one)
    & refer(c17941,indet)
    & varia(c17941,varia_c)
    & sort(wissen_0,fe)
    & sort(c18018,ent)
    & card(c18018,card_c)
    & etype(c18018,etype_c)
    & fact(c18018,real)
    & gener(c18018,gener_c)
    & quant(c18018,quant_c)
    & refer(c18018,refer_c)
    & varia(c18018,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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_003_mira_wp_176) ).

cnf(10372,plain,
    val(c17911,usa_0),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).

cnf(l200,plain,
    val(c17911,usa_0),
    inference(instantiation,[status(thm)],[10372]) ).

cnf(10371,plain,
    sub(c17911,name_1_1),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).

cnf(l186,plain,
    sub(c17911,name_1_1),
    inference(instantiation,[status(thm)],[10371]) ).

fof(attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
    ! [X0,X1,X2] :
      ( ( attr(X2,X0)
        & member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        & sub(X0,X1) )
     => ? [X3] :
          ( mcont(X3,X2)
          & obj(X3,X2)
          & scar(X3,X2)
          & subs(X3,stehen_1_b) ) ),
    file('Axioms/CSR004+0.ax',attr_name__abk__374rzung_stehen_1_b_f__374r) ).

cnf(291,plain,
    ( ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(X1,X0)
    | ~ attr(X2,X1)
    | scar(sK52(X1,X0,X2),X2) ),
    inference(cnf,[status(esa)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).

cnf(l1,plain,
    ( ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(c17885,name_1_1)
    | ~ attr(c17884,c17885)
    | scar(sK52(c17885,name_1_1,c17884),c17884) ),
    inference(instantiation,[status(thm)],[291]) ).

fof(member_second,plain,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ),
    file('Axioms/CSR004+0.ax',member_second) ).

cnf(1,plain,
    ( ~ member(X0,X1)
    | member(X0,cons(X2,X1)) ),
    inference(cnf,[status(esa)],[member_second]) ).

cnf(l22,plain,
    ( ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil)))
    | member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(10369,plain,
    attr(c17910,c17911),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).

cnf(l184,plain,
    attr(c17910,c17911),
    inference(instantiation,[status(thm)],[10369]) ).

cnf(10362,plain,
    attr(c17884,c17885),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).

cnf(l6,plain,
    attr(c17884,c17885),
    inference(instantiation,[status(thm)],[10362]) ).

cnf(10364,plain,
    sub(c17885,name_1_1),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_003_mira_wp_176]) ).

cnf(l5,plain,
    sub(c17885,name_1_1),
    inference(instantiation,[status(thm)],[10364]) ).

cnf(344,plain,
    ( ~ name(X0,X1)
    | sub(sK61(X1,X0),name_1_1) ),
    inference(cnf,[status(esa)],[name_rel__attr_val_name_1_1]) ).

cnf(l2,plain,
    ( ~ name(c17910,usa_0)
    | sub(sK61(usa_0,c17910),name_1_1) ),
    inference(instantiation,[status(thm)],[344]) ).

cnf(345,plain,
    ( ~ name(X0,X1)
    | val(sK61(X1,X0),X1) ),
    inference(cnf,[status(esa)],[name_rel__attr_val_name_1_1]) ).

cnf(l21,plain,
    ( ~ name(c17910,usa_0)
    | val(sK61(usa_0,c17910),usa_0) ),
    inference(instantiation,[status(thm)],[345]) ).

cnf(l25,plain,
    ( ~ member(name_1_1,cons(name_1_1,nil))
    | member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l23,plain,
    ( ~ sub(c17911,name_1_1)
    | ~ attr(c17910,c17911)
    | ~ val(c17911,usa_0)
    | name(c17910,usa_0) ),
    inference(instantiation,[status(thm)],[346]) ).

cnf(l33,plain,
    val(c17911,usa_0),
    inference(instantiation,[status(thm)],[10372]) ).

cnf(l7,plain,
    ( ~ sub(c17911,name_1_1)
    | ~ attr(c17910,c17911)
    | ~ val(c17911,usa_0)
    | name(c17910,usa_0) ),
    inference(instantiation,[status(thm)],[346]) ).

cnf(l9,plain,
    attr(c17910,c17911),
    inference(instantiation,[status(thm)],[10369]) ).

cnf(l24,plain,
    sub(c17911,name_1_1),
    inference(instantiation,[status(thm)],[10371]) ).

cnf(l8,plain,
    sub(c17911,name_1_1),
    inference(instantiation,[status(thm)],[10371]) ).

cnf(l18,plain,
    val(c17911,usa_0),
    inference(instantiation,[status(thm)],[10372]) ).

fof(member_first,plain,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('Axioms/CSR004+0.ax',member_first) ).

cnf(0,plain,
    member(X0,cons(X0,X1)),
    inference(cnf,[status(esa)],[member_first]) ).

cnf(l45,plain,
    member(name_1_1,cons(name_1_1,nil)),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l30,plain,
    attr(c17910,c17911),
    inference(instantiation,[status(thm)],[10369]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l4,l36,l200,l186,l1,l22,l184,l6,l5,l2,l21,l25,l23,l33,l7,l9,l24,l8,l18,l45,l30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR113+9 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sun Jul 20 08:14:04 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.19/0.48  % launching worker at depth: 1
% 0.19/0.48  % launching worker at depth: 4
% 0.19/0.48  % launching worker at depth: 3
% 0.19/0.48  % launching worker at depth: 2
% 0.19/0.48  % launching worker at depth: 5
% 0.19/0.48  % launching worker at depth: 6
% 0.19/0.48  % launching worker at depth: 7
% 0.19/0.48  % launching worker at depth: 8
% 0.19/0.48  % launching worker at depth: 9
% 0.19/0.51  % launching worker at depth: 10
% 3.78/0.92  % launching worker at depth: 11
% 30.05/4.31  % SZS status Theorem for theBenchmark
% 30.05/4.31  % SZS output start CNFRefutation
% See solution above
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