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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR115+35 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n001.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 04:15:37 PM UTC 2026

% Result   : Theorem 1.82s 2.04s
% Output   : CNFRefutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   38 (  13 unt;   0 def)
%            Number of atoms       :  333 (   0 equ)
%            Maximal formula atoms :  167 (   8 avg)
%            Number of connectives :  406 ( 111   ~;  96   |; 196   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  167 (  10 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-8 aty)
%            Number of functors    :   60 (  60 usr;  58 con; 0-3 aty)
%            Number of variables   :  111 (  23 sgn  28   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_007_mira_news_1222,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(X1,firma_1_1)
      & sub(X3,name_1_1)
      & sub(X7,jahr__1_1)
      & val(X2,bmw_0)
      & val(X3,bmw_0)
      & val(X7,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_007_mira_news_1222) ).

fof(ave07_era5_synth_qa07_007_mira_news_1222,hypothesis,
    ( pred(c3345,sonderschicht_1_1)
    & sub(c3346,sowohl_2_1)
    & attr(c3446,c3447)
    & sub(c3446,firma_1_1)
    & sub(c3447,name_1_1)
    & val(c3447,bmw_0)
    & attr(c3527,c3528)
    & sub(c3527,firma_1_1)
    & sub(c3528,name_1_1)
    & val(c3528,rover_0)
    & attr(c3531,c3532)
    & sub(c3532,jahr__1_1)
    & val(c3532,c3529)
    & prop(c3536,zwei_1_1)
    & subs(c3536,nachfrage__1_1)
    & tupl_p8(c3626,c3345,c3346,c3446,c3527,c3531,c3536,c3345)
    & assoc(sonderschicht_1_1,besonder_1_1)
    & sub(sonderschicht_1_1,schicht_1_1)
    & sort(c3345,d)
    & card(c3345,cons(x_constant,cons(int1,nil)))
    & etype(c3345,int1)
    & fact(c3345,real)
    & gener(c3345,gener_c)
    & quant(c3345,mult)
    & refer(c3345,indet)
    & varia(c3345,varia_c)
    & sort(sonderschicht_1_1,d)
    & card(sonderschicht_1_1,int1)
    & etype(sonderschicht_1_1,int0)
    & fact(sonderschicht_1_1,real)
    & gener(sonderschicht_1_1,ge)
    & quant(sonderschicht_1_1,one)
    & refer(sonderschicht_1_1,refer_c)
    & varia(sonderschicht_1_1,varia_c)
    & sort(c3346,o)
    & card(c3346,int1)
    & etype(c3346,int0)
    & fact(c3346,real)
    & gener(c3346,gener_c)
    & quant(c3346,one)
    & refer(c3346,refer_c)
    & varia(c3346,varia_c)
    & sort(sowohl_2_1,o)
    & card(sowohl_2_1,int1)
    & etype(sowohl_2_1,int0)
    & fact(sowohl_2_1,real)
    & gener(sowohl_2_1,ge)
    & quant(sowohl_2_1,one)
    & refer(sowohl_2_1,refer_c)
    & varia(sowohl_2_1,varia_c)
    & sort(c3446,d)
    & sort(c3446,io)
    & card(c3446,int1)
    & etype(c3446,int0)
    & fact(c3446,real)
    & gener(c3446,sp)
    & quant(c3446,one)
    & refer(c3446,det)
    & varia(c3446,con)
    & sort(c3447,na)
    & card(c3447,int1)
    & etype(c3447,int0)
    & fact(c3447,real)
    & gener(c3447,sp)
    & quant(c3447,one)
    & refer(c3447,indet)
    & varia(c3447,varia_c)
    & sort(firma_1_1,d)
    & sort(firma_1_1,io)
    & card(firma_1_1,int1)
    & etype(firma_1_1,int0)
    & fact(firma_1_1,real)
    & gener(firma_1_1,ge)
    & quant(firma_1_1,one)
    & refer(firma_1_1,refer_c)
    & varia(firma_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(bmw_0,fe)
    & sort(c3527,d)
    & sort(c3527,io)
    & card(c3527,int1)
    & etype(c3527,int0)
    & fact(c3527,real)
    & gener(c3527,sp)
    & quant(c3527,one)
    & refer(c3527,det)
    & varia(c3527,con)
    & sort(c3528,na)
    & card(c3528,int1)
    & etype(c3528,int0)
    & fact(c3528,real)
    & gener(c3528,sp)
    & quant(c3528,one)
    & refer(c3528,indet)
    & varia(c3528,varia_c)
    & sort(rover_0,fe)
    & sort(c3531,t)
    & card(c3531,int1)
    & etype(c3531,int0)
    & fact(c3531,real)
    & gener(c3531,sp)
    & quant(c3531,one)
    & refer(c3531,det)
    & varia(c3531,con)
    & sort(c3532,me)
    & sort(c3532,oa)
    & sort(c3532,ta)
    & card(c3532,card_c)
    & etype(c3532,etype_c)
    & fact(c3532,real)
    & gener(c3532,sp)
    & quant(c3532,quant_c)
    & refer(c3532,refer_c)
    & varia(c3532,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(c3529,nu)
    & card(c3529,int1994)
    & sort(c3536,ad)
    & card(c3536,int1)
    & etype(c3536,int0)
    & fact(c3536,real)
    & gener(c3536,sp)
    & quant(c3536,one)
    & refer(c3536,det)
    & varia(c3536,con)
    & sort(zwei_1_1,nq)
    & sort(nachfrage__1_1,ad)
    & card(nachfrage__1_1,int1)
    & etype(nachfrage__1_1,int0)
    & fact(nachfrage__1_1,real)
    & gener(nachfrage__1_1,ge)
    & quant(nachfrage__1_1,one)
    & refer(nachfrage__1_1,refer_c)
    & varia(nachfrage__1_1,varia_c)
    & sort(c3626,ent)
    & card(c3626,card_c)
    & etype(c3626,etype_c)
    & fact(c3626,real)
    & gener(c3626,gener_c)
    & quant(c3626,quant_c)
    & refer(c3626,refer_c)
    & varia(c3626,varia_c)
    & sort(besonder_1_1,tq)
    & sort(schicht_1_1,d)
    & card(schicht_1_1,int1)
    & etype(schicht_1_1,int0)
    & fact(schicht_1_1,real)
    & gener(schicht_1_1,ge)
    & quant(schicht_1_1,one)
    & refer(schicht_1_1,refer_c)
    & varia(schicht_1_1,varia_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_007_mira_news_1222) ).

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/sandbox2/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/sandbox2/benchmark/Axioms/CSR004+0.ax',member_second) ).

fof(member_first,axiom,
    ! [X1,X2] : member(X1,cons(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',member_first) ).

fof(has_card_eq,axiom,
    ! [X1,X2] :
      ( card(X1,X2)
     => has_card_leq(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',has_card_eq) ).

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(X1,firma_1_1)
        & sub(X3,name_1_1)
        & sub(X7,jahr__1_1)
        & val(X2,bmw_0)
        & val(X3,bmw_0)
        & val(X7,X8) ),
    inference(assume_negation,[status(cth)],[synth_qa07_007_mira_news_1222]) ).

fof(c_0_7,negated_conjecture,
    ! [X408,X409,X410,X411,X412,X413,X414,X415] :
      ( ~ attr(X408,X409)
      | ~ attr(X411,X410)
      | ~ attr(X413,X414)
      | ~ has_card_leq(X415,int1994)
      | ~ obj(X412,X408)
      | ~ sub(X409,name_1_1)
      | ~ sub(X408,firma_1_1)
      | ~ sub(X410,name_1_1)
      | ~ sub(X414,jahr__1_1)
      | ~ val(X409,bmw_0)
      | ~ val(X410,bmw_0)
      | ~ val(X414,X415) ),
    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(X1,firma_1_1)
    | ~ sub(X4,name_1_1)
    | ~ sub(X6,jahr__1_1)
    | ~ val(X2,bmw_0)
    | ~ val(X4,bmw_0)
    | ~ val(X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_9,hypothesis,
    val(c3447,bmw_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1222]) ).

cnf(c_0_10,hypothesis,
    sub(c3447,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1222]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ val(X1,bmw_0)
    | ~ val(X2,X3)
    | ~ attr(X4,c3447)
    | ~ attr(X5,X2)
    | ~ attr(X6,X1)
    | ~ obj(X7,X6)
    | ~ sub(X2,jahr__1_1)
    | ~ sub(X1,name_1_1)
    | ~ sub(X6,firma_1_1)
    | ~ has_card_leq(X3,int1994) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_12,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,c3447)
    | ~ attr(X4,c3447)
    | ~ attr(X5,X1)
    | ~ obj(X6,X4)
    | ~ sub(X1,jahr__1_1)
    | ~ sub(X4,firma_1_1)
    | ~ has_card_leq(X2,int1994) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_10])]) ).

cnf(c_0_13,hypothesis,
    attr(c3446,c3447),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1222]) ).

cnf(c_0_14,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,c3447)
    | ~ attr(X4,X1)
    | ~ obj(X5,X3)
    | ~ sub(X1,jahr__1_1)
    | ~ sub(X3,firma_1_1)
    | ~ has_card_leq(X2,int1994) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,hypothesis,
    sub(c3446,firma_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1222]) ).

fof(c_0_16,plain,
    ! [X702,X703,X704] :
      ( ( mcont(esk44_3(X702,X703,X704),X704)
        | ~ attr(X704,X702)
        | ~ member(X703,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X702,X703) )
      & ( obj(esk44_3(X702,X703,X704),X704)
        | ~ attr(X704,X702)
        | ~ member(X703,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X702,X703) )
      & ( scar(esk44_3(X702,X703,X704),X704)
        | ~ attr(X704,X702)
        | ~ member(X703,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X702,X703) )
      & ( subs(esk44_3(X702,X703,X704),stehen_1_b)
        | ~ attr(X704,X702)
        | ~ member(X703,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X702,X703) ) ),
    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_17,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ obj(X4,c3446)
    | ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_13]),c_0_15])]) ).

cnf(c_0_18,plain,
    ( obj(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_16]) ).

fof(c_0_19,plain,
    ! [X510,X511,X512] :
      ( ~ member(X510,X512)
      | member(X510,cons(X511,X512)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[member_second])]) ).

cnf(c_0_20,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(c3446,X3)
    | ~ attr(X4,X1)
    | ~ sub(X1,jahr__1_1)
    | ~ sub(X3,X5)
    | ~ has_card_leq(X2,int1994)
    | ~ member(X5,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    ( member(X1,cons(X3,X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(c3446,X3)
    | ~ attr(X4,X1)
    | ~ sub(X1,jahr__1_1)
    | ~ sub(X3,X5)
    | ~ has_card_leq(X2,int1994)
    | ~ member(X5,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

fof(c_0_23,plain,
    ! [X508,X509] : member(X508,cons(X508,X509)),
    inference(variable_rename,[status(thm)],[member_first]) ).

cnf(c_0_24,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(c3446,X3)
    | ~ attr(X4,X1)
    | ~ sub(X1,jahr__1_1)
    | ~ sub(X3,X5)
    | ~ has_card_leq(X2,int1994)
    | ~ member(X5,cons(name_1_1,nil)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_21]) ).

cnf(c_0_25,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_26,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(c3446,X3)
    | ~ attr(X4,X1)
    | ~ sub(X1,jahr__1_1)
    | ~ sub(X3,name_1_1)
    | ~ has_card_leq(X2,int1994) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_13]),c_0_10])]) ).

cnf(c_0_28,hypothesis,
    sub(c3532,jahr__1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1222]) ).

cnf(c_0_29,hypothesis,
    ( ~ val(c3532,X1)
    | ~ attr(X2,c3532)
    | ~ has_card_leq(X1,int1994) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,hypothesis,
    val(c3532,c3529),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1222]) ).

fof(c_0_31,plain,
    ! [X455,X456] :
      ( ~ card(X455,X456)
      | has_card_leq(X455,X456) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[has_card_eq])]) ).

cnf(c_0_32,hypothesis,
    ( ~ attr(X1,c3532)
    | ~ has_card_leq(c3529,int1994) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,plain,
    ( has_card_leq(X1,X2)
    | ~ card(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_34,hypothesis,
    card(c3529,int1994),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1222]) ).

cnf(c_0_35,hypothesis,
    attr(c3531,c3532),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_news_1222]) ).

cnf(c_0_36,hypothesis,
    ~ attr(X1,c3532),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_37,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_35,c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR115+35 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n001.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 17:07:18 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 1.82/2.04  % Version  : CSE_E---1.7
% 1.82/2.04  % Problem  : theBenchmark.p
% 1.82/2.04  % SZS status Theorem for theBenchmark.p
% 1.82/2.04  % SZS output start CNFRefutation
% See solution above
% 1.82/2.04  % Total time : 1.660s
%------------------------------------------------------------------------------