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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : CSR113+27 : 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 11:19:26 AM UTC 2025

% Result   : Theorem 6.94s 1.37s
% Output   : CNFRefutation 6.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :  216 (   0 equ)
%            Maximal formula atoms :  165 (   9 avg)
%            Number of connectives :  210 (  18   ~;  15   |; 175   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  165 (  10 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-9 aty)
%            Number of functors    :   52 (  52 usr;  50 con; 0-3 aty)
%            Number of variables   :   29 (   5 sgn   8   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_003_qapn_26_a19713,plain,
    ? [X0,X1,X2,X3] :
      ( attr(X1,X0)
      & scar(X2,X3)
      & sub(X0,name_1_1)
      & val(X0,new_york_0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_003_qapn_26_a19713) ).

fof(synth_qa07_003_qapn_26_a19713_negated,plain,
    ~ ? [X0,X1,X2,X3] :
        ( attr(X1,X0)
        & scar(X2,X3)
        & sub(X0,name_1_1)
        & val(X0,new_york_0) ),
    inference(negate_conjecture,[status(cth)],[synth_qa07_003_qapn_26_a19713]) ).

cnf(10360,plain,
    ( ~ sub(X0,name_1_1)
    | ~ scar(X1,X2)
    | ~ attr(X3,X0)
    | ~ val(X0,new_york_0) ),
    inference(cnf,[status(esa)],[synth_qa07_003_qapn_26_a19713_negated]) ).

cnf(l0,plain,
    ( ~ sub(c78538,name_1_1)
    | ~ scar(sK52(c78538,name_1_1,c78537),c78537)
    | ~ attr(c78537,c78538)
    | ~ val(c78538,new_york_0) ),
    inference(instantiation,[status(thm)],[10360]) ).

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(c78538,name_1_1)
    | ~ attr(c78537,c78538)
    | scar(sK52(c78538,name_1_1,c78537),c78537) ),
    inference(instantiation,[status(thm)],[291]) ).

fof(ave07_era5_synth_qa07_003_qapn_26_a19713,plain,
    ( pred(c78483,masse_1_1)
    & sub(c78489,sich_1_1)
    & sub(c78495,freiheit_1_1)
    & prop(c78520,ber__374hmt_1_1)
    & pred(c78522,wort_2_1)
    & sub(c78531,freiheitsstatue_1_1)
    & attr(c78537,c78538)
    & sub(c78537,stadt__1_1)
    & sub(c78538,name_1_1)
    & val(c78538,new_york_0)
    & tupl_p9(c79239,c78466,c78483,c78489,c78495,c78520,c78522,c78531,c78537)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & sort(c78483,io)
    & card(c78483,cons(x_constant,cons(int1,nil)))
    & etype(c78483,int2)
    & fact(c78483,real)
    & gener(c78483,gener_c)
    & quant(c78483,mult)
    & refer(c78483,indet)
    & varia(c78483,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(c78489,o)
    & card(c78489,int1)
    & etype(c78489,int0)
    & fact(c78489,real)
    & gener(c78489,gener_c)
    & quant(c78489,one)
    & refer(c78489,refer_c)
    & varia(c78489,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(c78495,as)
    & sort(c78495,io)
    & card(c78495,int1)
    & etype(c78495,int0)
    & fact(c78495,real)
    & gener(c78495,sp)
    & quant(c78495,one)
    & refer(c78495,det)
    & varia(c78495,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(c78520,o)
    & card(c78520,cons(x_constant,cons(int1,nil)))
    & etype(c78520,int1)
    & fact(c78520,real)
    & gener(c78520,sp)
    & quant(c78520,mult)
    & refer(c78520,det)
    & varia(c78520,con)
    & sort(ber__374hmt_1_1,nq)
    & sort(c78522,d)
    & sort(c78522,io)
    & card(c78522,cons(x_constant,cons(int1,nil)))
    & etype(c78522,int1)
    & fact(c78522,real)
    & gener(c78522,gener_c)
    & quant(c78522,mult)
    & refer(c78522,indet)
    & varia(c78522,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(c78531,d)
    & card(c78531,int1)
    & etype(c78531,int0)
    & fact(c78531,real)
    & gener(c78531,sp)
    & quant(c78531,one)
    & refer(c78531,det)
    & varia(c78531,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(c78537,d)
    & sort(c78537,io)
    & card(c78537,int1)
    & etype(c78537,int0)
    & fact(c78537,real)
    & gener(c78537,sp)
    & quant(c78537,one)
    & refer(c78537,det)
    & varia(c78537,con)
    & sort(c78538,na)
    & card(c78538,int1)
    & etype(c78538,int0)
    & fact(c78538,real)
    & gener(c78538,sp)
    & quant(c78538,one)
    & refer(c78538,indet)
    & varia(c78538,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(c79239,ent)
    & card(c79239,card_c)
    & etype(c79239,etype_c)
    & fact(c79239,real)
    & gener(c79239,gener_c)
    & quant(c79239,quant_c)
    & refer(c79239,refer_c)
    & varia(c79239,varia_c)
    & sort(c78466,d)
    & card(c78466,int1)
    & etype(c78466,int0)
    & fact(c78466,real)
    & gener(c78466,sp)
    & quant(c78466,one)
    & refer(c78466,det)
    & varia(c78466,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_qapn_26_a19713) ).

cnf(10370,plain,
    val(c78538,new_york_0),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

cnf(l3,plain,
    val(c78538,new_york_0),
    inference(instantiation,[status(thm)],[10370]) ).

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(l11,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(10367,plain,
    attr(c78537,c78538),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

cnf(l4,plain,
    attr(c78537,c78538),
    inference(instantiation,[status(thm)],[10367]) ).

cnf(10369,plain,
    sub(c78538,name_1_1),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

cnf(l2,plain,
    sub(c78538,name_1_1),
    inference(instantiation,[status(thm)],[10369]) ).

cnf(l7,plain,
    attr(c78537,c78538),
    inference(instantiation,[status(thm)],[10367]) ).

cnf(l191,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(l9,plain,
    sub(c78538,name_1_1),
    inference(instantiation,[status(thm)],[10369]) ).

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(l192,plain,
    member(name_1_1,cons(name_1_1,nil)),
    inference(instantiation,[status(thm)],[0]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l11,l4,l2,l7,l191,l9,l192]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR113+27 : TPTP v9.0.0. Released v4.0.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Jul 20 08:13:19 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.19/0.48  % launching worker at depth: 2
% 0.19/0.48  % launching worker at depth: 4
% 0.19/0.48  % launching worker at depth: 5
% 0.19/0.48  % launching worker at depth: 3
% 0.19/0.48  % launching worker at depth: 1
% 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
% 0.19/0.49  % launching worker at depth: 10
% 4.06/0.96  % launching worker at depth: 11
% 6.94/1.37  % SZS status Theorem for theBenchmark
% 6.94/1.37  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------