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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR115+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 : n007.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 04:15:36 PM UTC 2026

% Result   : Theorem 1.83s 2.04s
% Output   : CNFRefutation 1.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   36 (  11 unt;   0 def)
%            Number of atoms       :  376 (   0 equ)
%            Maximal formula atoms :  244 (  10 avg)
%            Number of connectives :  425 (  85   ~;  70   |; 267   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  244 (  12 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-7 aty)
%            Number of functors    :   71 (  71 usr;  69 con; 0-3 aty)
%            Number of variables   :  104 (  21 sgn  28   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_007_mira_news_1195,conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( attr(X1,X2)
      & attr(X4,X3)
      & attr(X6,X7)
      & has_card_leq(X8,int1994)
      & obj(X5,X1)
      & sub(X2,name_1_1)
      & sub(X3,name_1_1)
      & sub(X7,jahr__1_1)
      & val(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_007_mira_news_1195) ).

fof(ave07_era5_synth_qa07_007_mira_news_1195,hypothesis,
    ( attr(c11,c12)
    & sub(c11,stadt__1_1)
    & sub(c12,name_1_1)
    & val(c12,m__374nchen_0)
    & attr(c18,c19)
    & attr(c18,c20)
    & sub(c19,tag_1_1)
    & val(c19,c16)
    & sub(c20,monat_1_1)
    & val(c20,c17)
    & tupl_p7(c319,c68,c72,c79,c84,c91,c95)
    & sub(c324,mark_1_1)
    & tupl(c47,c11,c18)
    & sub(c68,bmw_1_1)
    & sub(c72,firmengruppe_1_1)
    & sub(c79,konzerngewinn_1_1)
    & attr(c84,c85)
    & sub(c85,jahr__1_1)
    & val(c85,c80)
    & quant_p3(c91,c86,hundertstel__1_1)
    & quant_p3(c95,c92,million_1_1)
    & assoc(konzerngewinn_1_1,firmengruppe_1_1)
    & sub(konzerngewinn_1_1,gewinn_1_1)
    & sort(c11,d)
    & sort(c11,io)
    & card(c11,int1)
    & etype(c11,int0)
    & fact(c11,real)
    & gener(c11,sp)
    & quant(c11,one)
    & refer(c11,det)
    & varia(c11,con)
    & sort(c12,na)
    & card(c12,int1)
    & etype(c12,int0)
    & fact(c12,real)
    & gener(c12,sp)
    & quant(c12,one)
    & refer(c12,indet)
    & varia(c12,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(m__374nchen_0,fe)
    & sort(c18,t)
    & card(c18,int1)
    & etype(c18,int0)
    & fact(c18,real)
    & gener(c18,sp)
    & quant(c18,one)
    & refer(c18,det)
    & varia(c18,con)
    & sort(c19,me)
    & sort(c19,oa)
    & sort(c19,ta)
    & card(c19,card_c)
    & etype(c19,etype_c)
    & fact(c19,real)
    & gener(c19,sp)
    & quant(c19,quant_c)
    & refer(c19,refer_c)
    & varia(c19,varia_c)
    & sort(c20,me)
    & sort(c20,oa)
    & sort(c20,ta)
    & card(c20,card_c)
    & etype(c20,etype_c)
    & fact(c20,real)
    & gener(c20,sp)
    & quant(c20,quant_c)
    & refer(c20,refer_c)
    & varia(c20,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(c16,nu)
    & card(c16,int16)
    & 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(c17,nu)
    & card(c17,int3)
    & sort(c319,ent)
    & card(c319,card_c)
    & etype(c319,etype_c)
    & fact(c319,real)
    & gener(c319,gener_c)
    & quant(c319,quant_c)
    & refer(c319,refer_c)
    & varia(c319,varia_c)
    & sort(c68,d)
    & card(c68,int1)
    & etype(c68,int0)
    & fact(c68,real)
    & gener(c68,sp)
    & quant(c68,one)
    & refer(c68,det)
    & varia(c68,con)
    & sort(c72,d)
    & sort(c72,io)
    & card(c72,int1)
    & etype(c72,int0)
    & fact(c72,real)
    & gener(c72,gener_c)
    & quant(c72,one)
    & refer(c72,refer_c)
    & varia(c72,varia_c)
    & sort(c79,d)
    & card(c79,int1)
    & etype(c79,int0)
    & fact(c79,real)
    & gener(c79,sp)
    & quant(c79,one)
    & refer(c79,det)
    & varia(c79,con)
    & sort(c84,t)
    & card(c84,int1)
    & etype(c84,int0)
    & fact(c84,real)
    & gener(c84,sp)
    & quant(c84,one)
    & refer(c84,det)
    & varia(c84,con)
    & sort(c91,co)
    & sort(c91,m)
    & card(c91,card_c)
    & etype(c91,etype_c)
    & fact(c91,real)
    & gener(c91,gener_c)
    & quant(c91,quant_c)
    & refer(c91,refer_c)
    & varia(c91,con)
    & sort(c95,co)
    & sort(c95,m)
    & card(c95,card_c)
    & etype(c95,etype_c)
    & fact(c95,real)
    & gener(c95,gener_c)
    & quant(c95,quant_c)
    & refer(c95,refer_c)
    & varia(c95,con)
    & sort(c324,me)
    & fact(c324,real)
    & sort(mark_1_1,me)
    & gener(mark_1_1,ge)
    & sort(c47,ent)
    & card(c47,card_c)
    & etype(c47,etype_c)
    & fact(c47,real)
    & gener(c47,gener_c)
    & quant(c47,quant_c)
    & refer(c47,refer_c)
    & varia(c47,varia_c)
    & sort(bmw_1_1,d)
    & card(bmw_1_1,int1)
    & etype(bmw_1_1,int0)
    & fact(bmw_1_1,real)
    & gener(bmw_1_1,ge)
    & quant(bmw_1_1,one)
    & refer(bmw_1_1,refer_c)
    & varia(bmw_1_1,varia_c)
    & sort(firmengruppe_1_1,d)
    & sort(firmengruppe_1_1,io)
    & card(firmengruppe_1_1,int1)
    & etype(firmengruppe_1_1,int0)
    & fact(firmengruppe_1_1,real)
    & gener(firmengruppe_1_1,ge)
    & quant(firmengruppe_1_1,one)
    & refer(firmengruppe_1_1,refer_c)
    & varia(firmengruppe_1_1,varia_c)
    & sort(konzerngewinn_1_1,d)
    & card(konzerngewinn_1_1,int1)
    & etype(konzerngewinn_1_1,int0)
    & fact(konzerngewinn_1_1,real)
    & gener(konzerngewinn_1_1,ge)
    & quant(konzerngewinn_1_1,one)
    & refer(konzerngewinn_1_1,refer_c)
    & varia(konzerngewinn_1_1,varia_c)
    & sort(c85,me)
    & sort(c85,oa)
    & sort(c85,ta)
    & card(c85,card_c)
    & etype(c85,etype_c)
    & fact(c85,real)
    & gener(c85,sp)
    & quant(c85,quant_c)
    & refer(c85,refer_c)
    & varia(c85,varia_c)
    & sort(jahr__1_1,me)
    & sort(jahr__1_1,oa)
    & sort(jahr__1_1,ta)
    & card(jahr__1_1,card_c)
    & etype(jahr__1_1,etype_c)
    & fact(jahr__1_1,real)
    & gener(jahr__1_1,ge)
    & quant(jahr__1_1,quant_c)
    & refer(jahr__1_1,refer_c)
    & varia(jahr__1_1,varia_c)
    & sort(c80,nu)
    & card(c80,int1994)
    & sort(c86,nu)
    & card(c86,int35)
    & sort(hundertstel__1_1,me)
    & gener(hundertstel__1_1,ge)
    & sort(c92,nu)
    & card(c92,int697)
    & sort(million_1_1,me)
    & gener(million_1_1,ge)
    & sort(gewinn_1_1,d)
    & card(gewinn_1_1,int1)
    & etype(gewinn_1_1,int0)
    & fact(gewinn_1_1,real)
    & gener(gewinn_1_1,ge)
    & quant(gewinn_1_1,one)
    & refer(gewinn_1_1,refer_c)
    & varia(gewinn_1_1,varia_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1195) ).

fof(has_card_eq,axiom,
    ! [X1,X2] :
      ( card(X1,X2)
     => has_card_leq(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',has_card_eq) ).

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_6,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5,X6,X7,X8] :
        ( attr(X1,X2)
        & attr(X4,X3)
        & attr(X6,X7)
        & has_card_leq(X8,int1994)
        & obj(X5,X1)
        & sub(X2,name_1_1)
        & sub(X3,name_1_1)
        & sub(X7,jahr__1_1)
        & val(X7,X8) ),
    inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1195]) ).

fof(c_0_7,negated_conjecture,
    ! [X395,X396,X397,X398,X399,X400,X401,X402] :
      ( ~ attr(X395,X396)
      | ~ attr(X398,X397)
      | ~ attr(X400,X401)
      | ~ has_card_leq(X402,int1994)
      | ~ obj(X399,X395)
      | ~ sub(X396,name_1_1)
      | ~ sub(X397,name_1_1)
      | ~ sub(X401,jahr__1_1)
      | ~ val(X401,X402) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ attr(X1,X2)
    | ~ attr(X3,X4)
    | ~ attr(X5,X6)
    | ~ has_card_leq(X7,int1994)
    | ~ obj(X8,X1)
    | ~ sub(X2,name_1_1)
    | ~ sub(X4,name_1_1)
    | ~ sub(X6,jahr__1_1)
    | ~ val(X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_9,hypothesis,
    sub(c85,jahr__1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ val(c85,X1)
    | ~ attr(X2,c85)
    | ~ attr(X3,X4)
    | ~ attr(X5,X6)
    | ~ obj(X7,X5)
    | ~ sub(X4,name_1_1)
    | ~ sub(X6,name_1_1)
    | ~ has_card_leq(X1,int1994) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,hypothesis,
    val(c85,c80),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).

fof(c_0_12,plain,
    ! [X442,X443] :
      ( ~ card(X442,X443)
      | has_card_leq(X442,X443) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[has_card_eq])]) ).

cnf(c_0_13,hypothesis,
    ( ~ attr(X1,c85)
    | ~ attr(X2,X3)
    | ~ attr(X4,X5)
    | ~ obj(X6,X4)
    | ~ sub(X3,name_1_1)
    | ~ sub(X5,name_1_1)
    | ~ has_card_leq(c80,int1994) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( has_card_leq(X1,X2)
    | ~ card(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,hypothesis,
    card(c80,int1994),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).

cnf(c_0_16,hypothesis,
    ( ~ attr(X1,c85)
    | ~ attr(X2,X3)
    | ~ attr(X4,X5)
    | ~ obj(X6,X4)
    | ~ sub(X3,name_1_1)
    | ~ sub(X5,name_1_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_17,hypothesis,
    attr(c84,c85),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).

cnf(c_0_18,hypothesis,
    ( ~ attr(X1,X2)
    | ~ attr(X3,X4)
    | ~ obj(X5,X3)
    | ~ sub(X2,name_1_1)
    | ~ sub(X4,name_1_1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,hypothesis,
    sub(c12,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).

cnf(c_0_20,hypothesis,
    ( ~ attr(X1,c12)
    | ~ attr(X2,X3)
    | ~ obj(X4,X2)
    | ~ sub(X3,name_1_1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,hypothesis,
    attr(c11,c12),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1195]) ).

cnf(c_0_22,hypothesis,
    ( ~ attr(X1,X2)
    | ~ obj(X3,X1)
    | ~ sub(X2,name_1_1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,hypothesis,
    ( ~ attr(X1,c12)
    | ~ obj(X2,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_19]) ).

fof(c_0_24,plain,
    ! [X650,X651,X652] :
      ( ( mcont(esk33_3(X650,X651,X652),X652)
        | ~ attr(X652,X650)
        | ~ member(X651,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X650,X651) )
      & ( obj(esk33_3(X650,X651,X652),X652)
        | ~ attr(X652,X650)
        | ~ member(X651,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X650,X651) )
      & ( scar(esk33_3(X650,X651,X652),X652)
        | ~ attr(X652,X650)
        | ~ member(X651,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X650,X651) )
      & ( subs(esk33_3(X650,X651,X652),stehen_1_b)
        | ~ attr(X652,X650)
        | ~ member(X651,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X650,X651) ) ),
    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_25,hypothesis,
    ~ obj(X1,c11),
    inference(spm,[status(thm)],[c_0_23,c_0_21]) ).

cnf(c_0_26,plain,
    ( obj(esk33_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_24]) ).

fof(c_0_27,plain,
    ! [X691,X692,X693] :
      ( ~ member(X691,X693)
      | member(X691,cons(X692,X693)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[member_second])]) ).

cnf(c_0_28,hypothesis,
    ( ~ attr(c11,X1)
    | ~ sub(X1,X2)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,plain,
    ( member(X1,cons(X3,X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_30,hypothesis,
    ( ~ attr(c11,X1)
    | ~ sub(X1,X2)
    | ~ member(X2,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

fof(c_0_31,plain,
    ! [X689,X690] : member(X689,cons(X689,X690)),
    inference(variable_rename,[status(thm)],[member_first]) ).

cnf(c_0_32,hypothesis,
    ( ~ attr(c11,X1)
    | ~ sub(X1,X2)
    | ~ member(X2,cons(name_1_1,nil)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_33,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_34,hypothesis,
    ( ~ attr(c11,X1)
    | ~ sub(X1,name_1_1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_35,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_21]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR115+27 : 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 : n007.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 17:05:39 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.83/2.04  % Version  : CSE_E---1.7
% 1.83/2.04  % Problem  : theBenchmark.p
% 1.83/2.04  % SZS status Theorem for theBenchmark.p
% 1.83/2.04  % SZS output start CNFRefutation
% See solution above
% 1.83/2.04  % Total time : 1.665s
%------------------------------------------------------------------------------