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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR113+27 : 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 : n025.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 1.71s 2.05s
% Output   : CNFRefutation 1.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :  235 (   0 equ)
%            Maximal formula atoms :  165 (   9 avg)
%            Number of connectives :  251 (  40   ~;  31   |; 178   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  165 (  11 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   :   57 (  14 sgn  20   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_003_qapn_26_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_qapn_26_a19713) ).

fof(ave07_era5_synth_qa07_003_qapn_26_a19713,hypothesis,
    ( 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) ).

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_qapn_26_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(c78538,new_york_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

cnf(c_0_9,hypothesis,
    sub(c78538,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ attr(X1,c78538)
    | ~ 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(c78537,c78538),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_26_a19713]) ).

fof(c_0_12,plain,
    ! [X711,X712,X713] :
      ( ( mcont(esk44_3(X711,X712,X713),X713)
        | ~ attr(X713,X711)
        | ~ member(X712,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X711,X712) )
      & ( obj(esk44_3(X711,X712,X713),X713)
        | ~ attr(X713,X711)
        | ~ member(X712,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X711,X712) )
      & ( scar(esk44_3(X711,X712,X713),X713)
        | ~ attr(X713,X711)
        | ~ member(X712,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X711,X712) )
      & ( subs(esk44_3(X711,X712,X713),stehen_1_b)
        | ~ attr(X713,X711)
        | ~ member(X712,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X711,X712) ) ),
    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
% 0.12/0.12  % Problem    : CSR113+27 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.12  % 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
% 0.15/0.33  % Computer : n025.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 17:03:43 EDT 2026
% 0.15/0.34  % CPUTime    : 
% 0.15/0.35  % start to proof: theBenchmark
% 1.71/2.05  % Version  : CSE_E---1.7
% 1.71/2.05  % Problem  : theBenchmark.p
% 1.71/2.05  % SZS status Theorem for theBenchmark.p
% 1.71/2.05  % SZS output start CNFRefutation
% See solution above
% 1.71/2.05  % Total time : 1.664s
%------------------------------------------------------------------------------