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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR114+30 : 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 : n010.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 04:15:32 PM UTC 2026

% Result   : Theorem 1.83s 2.03s
% Output   : CNFRefutation 1.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   9 unt;   0 def)
%            Number of atoms       :  185 (   0 equ)
%            Maximal formula atoms :  109 (   7 avg)
%            Number of connectives :  203 (  43   ~;  34   |; 124   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  109 (   9 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-5 aty)
%            Number of functors    :   49 (  49 usr;  47 con; 0-3 aty)
%            Number of variables   :   57 (  12 sgn  20   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_004_qw2_104_a281,conjecture,
    ? [X1,X2,X3,X4] :
      ( attr(X1,X2)
      & scar(X4,X3)
      & sub(X2,name_1_1)
      & sub(X1,stadt__1_1)
      & val(X2,rom_0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_004_qw2_104_a281) ).

fof(ave07_era5_synth_qa07_004_qw2_104_a281,hypothesis,
    ( assoc(bau_1_1,aufbau_1_1)
    & quant_p3(c32,c27,cent_1_1)
    & sub(c35,kolosseum_1_1)
    & attr(c41,c42)
    & sub(c41,stadt__1_1)
    & sub(c42,name_1_1)
    & val(c42,rom_0)
    & prop(c46,altert__374mlich_1_1)
    & prop(c46,ber__374hmt_1_1)
    & sub(c46,bau_1_1)
    & tupl_p5(c51,c32,c35,c41,c46)
    & sort(bau_1_1,d)
    & card(bau_1_1,int1)
    & etype(bau_1_1,int0)
    & fact(bau_1_1,real)
    & gener(bau_1_1,ge)
    & quant(bau_1_1,one)
    & refer(bau_1_1,refer_c)
    & varia(bau_1_1,varia_c)
    & sort(aufbau_1_1,ad)
    & card(aufbau_1_1,int1)
    & etype(aufbau_1_1,int0)
    & fact(aufbau_1_1,real)
    & gener(aufbau_1_1,ge)
    & quant(aufbau_1_1,one)
    & refer(aufbau_1_1,refer_c)
    & varia(aufbau_1_1,varia_c)
    & sort(c32,co)
    & sort(c32,m)
    & card(c32,card_c)
    & etype(c32,etype_c)
    & fact(c32,real)
    & gener(c32,gener_c)
    & quant(c32,quant_c)
    & refer(c32,refer_c)
    & varia(c32,con)
    & sort(c27,nu)
    & card(c27,int5)
    & sort(cent_1_1,me)
    & gener(cent_1_1,ge)
    & sort(c35,d)
    & card(c35,int1)
    & etype(c35,int0)
    & fact(c35,real)
    & gener(c35,sp)
    & quant(c35,one)
    & refer(c35,det)
    & varia(c35,con)
    & sort(kolosseum_1_1,d)
    & card(kolosseum_1_1,int1)
    & etype(kolosseum_1_1,int0)
    & fact(kolosseum_1_1,real)
    & gener(kolosseum_1_1,sp)
    & quant(kolosseum_1_1,one)
    & refer(kolosseum_1_1,det)
    & varia(kolosseum_1_1,con)
    & sort(c41,d)
    & sort(c41,io)
    & card(c41,int1)
    & etype(c41,int0)
    & fact(c41,real)
    & gener(c41,sp)
    & quant(c41,one)
    & refer(c41,det)
    & varia(c41,con)
    & sort(c42,na)
    & card(c42,int1)
    & etype(c42,int0)
    & fact(c42,real)
    & gener(c42,sp)
    & quant(c42,one)
    & refer(c42,indet)
    & varia(c42,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(rom_0,fe)
    & sort(c46,d)
    & card(c46,int1)
    & etype(c46,int0)
    & fact(c46,real)
    & gener(c46,sp)
    & quant(c46,one)
    & refer(c46,indet)
    & varia(c46,varia_c)
    & sort(altert__374mlich_1_1,nq)
    & sort(ber__374hmt_1_1,nq)
    & sort(c51,ent)
    & card(c51,card_c)
    & etype(c51,etype_c)
    & fact(c51,real)
    & gener(c51,gener_c)
    & quant(c51,quant_c)
    & refer(c51,refer_c)
    & varia(c51,varia_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_004_qw2_104_a281) ).

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(X1,X2)
        & scar(X4,X3)
        & sub(X2,name_1_1)
        & sub(X1,stadt__1_1)
        & val(X2,rom_0) ),
    inference(assume_negation,[status(cth)],[synth_qa07_004_qw2_104_a281]) ).

fof(c_0_6,negated_conjecture,
    ! [X391,X392,X393,X394] :
      ( ~ attr(X391,X392)
      | ~ scar(X394,X393)
      | ~ sub(X392,name_1_1)
      | ~ sub(X391,stadt__1_1)
      | ~ val(X392,rom_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)
    | ~ sub(X1,stadt__1_1)
    | ~ val(X2,rom_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_8,hypothesis,
    val(c42,rom_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_004_qw2_104_a281]) ).

cnf(c_0_9,hypothesis,
    sub(c42,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_004_qw2_104_a281]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ attr(X1,c42)
    | ~ scar(X2,X3)
    | ~ sub(X1,stadt__1_1) ),
    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(c41,c42),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_004_qw2_104_a281]) ).

cnf(c_0_12,hypothesis,
    sub(c41,stadt__1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_004_qw2_104_a281]) ).

fof(c_0_13,plain,
    ! [X753,X754,X755] :
      ( ( mcont(esk50_3(X753,X754,X755),X755)
        | ~ attr(X755,X753)
        | ~ member(X754,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X753,X754) )
      & ( obj(esk50_3(X753,X754,X755),X755)
        | ~ attr(X755,X753)
        | ~ member(X754,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X753,X754) )
      & ( scar(esk50_3(X753,X754,X755),X755)
        | ~ attr(X755,X753)
        | ~ member(X754,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X753,X754) )
      & ( subs(esk50_3(X753,X754,X755),stehen_1_b)
        | ~ attr(X755,X753)
        | ~ member(X754,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X753,X754) ) ),
    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_14,hypothesis,
    ~ scar(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_15,plain,
    ( scar(esk50_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_13]) ).

fof(c_0_16,plain,
    ! [X671,X672,X673] :
      ( ~ member(X671,X673)
      | member(X671,cons(X672,X673)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[member_second])]) ).

cnf(c_0_17,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_14,c_0_15]) ).

cnf(c_0_18,plain,
    ( member(X1,cons(X3,X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

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_17,c_0_18]) ).

fof(c_0_20,plain,
    ! [X669,X670] : member(X669,cons(X669,X670)),
    inference(variable_rename,[status(thm)],[member_first]) ).

cnf(c_0_21,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(X2,X3)
    | ~ member(X3,cons(name_1_1,nil)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_22,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_23,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(X2,name_1_1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_24,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_11]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR114+30 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % 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
% 0.14/0.32  % Computer : n010.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Mon May  4 17:05:51 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.83/2.03  % Version  : CSE_E---1.7
% 1.83/2.03  % Problem  : theBenchmark.p
% 1.83/2.03  % SZS status Theorem for theBenchmark.p
% 1.83/2.03  % SZS output start CNFRefutation
% See solution above
% 1.83/2.03  % Total time : 1.663s
%------------------------------------------------------------------------------