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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR115+83 : 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 : n005.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 04:15:45 PM UTC 2026

% Result   : Theorem 1.78s 2.02s
% Output   : CNFRefutation 1.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   40 (  14 unt;   0 def)
%            Number of atoms       :  372 (   0 equ)
%            Maximal formula atoms :  211 (   9 avg)
%            Number of connectives :  437 ( 105   ~;  91   |; 238   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  211 (  11 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   1 prp; 0-3 aty)
%            Number of functors    :   67 (  67 usr;  66 con; 0-3 aty)
%            Number of variables   :  103 (  12 sgn  24   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_007_mira_wp_499,conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( agt(X5,X4)
      & attr(X1,X2)
      & attr(X4,X3)
      & attr(X6,X7)
      & has_card_leq(X8,int1994)
      & sub(X2,name_1_1)
      & sub(X1,firma_1_1)
      & sub(X3,name_1_1)
      & sub(X7,jahr__1_1)
      & subs(X5,n374bernehmen_1_1)
      & val(X2,bmw_0)
      & val(X3,bmw_0)
      & val(X7,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_007_mira_wp_499) ).

fof(ave07_era5_synth_qa07_007_mira_wp_499,hypothesis,
    ( assoc(autobauer_1_1,automobil_1_1)
    & sub(autobauer_1_1,fabrikant_1_1)
    & cstr(c1731,c1750)
    & rslt(c1731,c1801)
    & subs(c1731,c1800)
    & attr(c1735,c1736)
    & prop(c1735,bekannt_1_1)
    & sub(c1735,mensch_1_1)
    & sub(c1736,familiename_1_1)
    & val(c1736,pischetsrieder_0)
    & attr(c1747,c1748)
    & sub(c1748,jahr__1_1)
    & val(c1748,c1744)
    & agt(c1750,c1797)
    & obj(c1750,c1785)
    & prop(c1750,c2)
    & subs(c1750,annahme_1_1)
    & agt(c1751,c1735)
    & obj(c1751,c1750)
    & subs(c1751,einf__344deln_1_1)
    & temp(c1751,c1747)
    & attr(c1785,c1786)
    & prop(c1785,britisch__1_1)
    & sub(c1785,autobauer_1_1)
    & sub(c1786,name_1_1)
    & val(c1786,rover_0)
    & attr(c1797,c1798)
    & sub(c1797,firma_1_1)
    & sub(c1798,name_1_1)
    & val(c1798,bmw_0)
    & mods(c1800,besonders_1_1,werden_1_1)
    & arg1(c1801,c1735)
    & arg2(c1801,bekannt_1_1)
    & subr(c1801,prop_0)
    & chsp2(einf__344deln_1_1,c2)
    & sort(autobauer_1_1,d)
    & sort(autobauer_1_1,io)
    & card(autobauer_1_1,int1)
    & etype(autobauer_1_1,int0)
    & fact(autobauer_1_1,real)
    & gener(autobauer_1_1,ge)
    & quant(autobauer_1_1,one)
    & refer(autobauer_1_1,refer_c)
    & varia(autobauer_1_1,varia_c)
    & sort(automobil_1_1,tq)
    & sort(fabrikant_1_1,d)
    & sort(fabrikant_1_1,io)
    & card(fabrikant_1_1,int1)
    & etype(fabrikant_1_1,int0)
    & fact(fabrikant_1_1,real)
    & gener(fabrikant_1_1,ge)
    & quant(fabrikant_1_1,one)
    & refer(fabrikant_1_1,refer_c)
    & varia(fabrikant_1_1,varia_c)
    & sort(c1731,dn)
    & fact(c1731,real)
    & gener(c1731,sp)
    & sort(c1750,ad)
    & card(c1750,int1)
    & etype(c1750,int0)
    & fact(c1750,real)
    & gener(c1750,sp)
    & quant(c1750,one)
    & refer(c1750,det)
    & varia(c1750,con)
    & sort(c1801,st)
    & fact(c1801,real)
    & gener(c1801,sp)
    & sort(c1800,dn)
    & fact(c1800,real)
    & gener(c1800,sp)
    & sort(c1735,d)
    & card(c1735,int1)
    & etype(c1735,int0)
    & fact(c1735,real)
    & gener(c1735,sp)
    & quant(c1735,one)
    & refer(c1735,det)
    & varia(c1735,con)
    & sort(c1736,na)
    & card(c1736,int1)
    & etype(c1736,int0)
    & fact(c1736,real)
    & gener(c1736,sp)
    & quant(c1736,one)
    & refer(c1736,indet)
    & varia(c1736,varia_c)
    & sort(bekannt_1_1,nq)
    & sort(mensch_1_1,d)
    & card(mensch_1_1,int1)
    & etype(mensch_1_1,int0)
    & fact(mensch_1_1,real)
    & gener(mensch_1_1,ge)
    & quant(mensch_1_1,one)
    & refer(mensch_1_1,refer_c)
    & varia(mensch_1_1,varia_c)
    & sort(familiename_1_1,na)
    & card(familiename_1_1,int1)
    & etype(familiename_1_1,int0)
    & fact(familiename_1_1,real)
    & gener(familiename_1_1,ge)
    & quant(familiename_1_1,one)
    & refer(familiename_1_1,refer_c)
    & varia(familiename_1_1,varia_c)
    & sort(pischetsrieder_0,fe)
    & sort(c1747,t)
    & card(c1747,int1)
    & etype(c1747,int0)
    & fact(c1747,real)
    & gener(c1747,sp)
    & quant(c1747,one)
    & refer(c1747,det)
    & varia(c1747,con)
    & sort(c1748,me)
    & sort(c1748,oa)
    & sort(c1748,ta)
    & card(c1748,card_c)
    & etype(c1748,etype_c)
    & fact(c1748,real)
    & gener(c1748,sp)
    & quant(c1748,quant_c)
    & refer(c1748,refer_c)
    & varia(c1748,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(c1744,nu)
    & card(c1744,int1994)
    & sort(c1797,d)
    & sort(c1797,io)
    & card(c1797,int1)
    & etype(c1797,int0)
    & fact(c1797,real)
    & gener(c1797,sp)
    & quant(c1797,one)
    & refer(c1797,det)
    & varia(c1797,con)
    & sort(c1785,d)
    & sort(c1785,io)
    & card(c1785,int1)
    & etype(c1785,int0)
    & fact(c1785,real)
    & gener(c1785,sp)
    & quant(c1785,one)
    & refer(c1785,det)
    & varia(c1785,con)
    & sort(c2,tq)
    & sort(annahme_1_1,ad)
    & card(annahme_1_1,int1)
    & etype(annahme_1_1,int0)
    & fact(annahme_1_1,real)
    & gener(annahme_1_1,ge)
    & quant(annahme_1_1,one)
    & refer(annahme_1_1,refer_c)
    & varia(annahme_1_1,varia_c)
    & sort(c1751,da)
    & fact(c1751,real)
    & gener(c1751,sp)
    & sort(einf__344deln_1_1,da)
    & fact(einf__344deln_1_1,real)
    & gener(einf__344deln_1_1,ge)
    & sort(c1786,na)
    & card(c1786,int1)
    & etype(c1786,int0)
    & fact(c1786,real)
    & gener(c1786,sp)
    & quant(c1786,one)
    & refer(c1786,indet)
    & varia(c1786,varia_c)
    & sort(britisch__1_1,nq)
    & 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(rover_0,fe)
    & sort(c1798,na)
    & card(c1798,int1)
    & etype(c1798,int0)
    & fact(c1798,real)
    & gener(c1798,sp)
    & quant(c1798,one)
    & refer(c1798,indet)
    & varia(c1798,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(bmw_0,fe)
    & sort(besonders_1_1,lg)
    & sort(werden_1_1,dn)
    & fact(werden_1_1,real)
    & gener(werden_1_1,ge)
    & sort(prop_0,st)
    & fact(prop_0,real)
    & gener(prop_0,gener_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_499) ).

fof(chea_agt_abs__event,axiom,
    ! [X1,X2,X3] :
      ( ( agt(X1,X3)
        & chea(X2,X1) )
     => agt(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',chea_agt_abs__event) ).

fof(chea_subs_abs__event,axiom,
    ! [X1,X2,X3] :
      ( ( chea(X3,X2)
        & subs(X1,X2) )
     => ? [X4] :
          ( chea(X4,X1)
          & subs(X4,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',chea_subs_abs__event) ).

fof(fact_8354,axiom,
    chea(n374bernehmen_1_1,annahme_1_1),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',fact_8354) ).

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] :
        ( agt(X5,X4)
        & attr(X1,X2)
        & attr(X4,X3)
        & attr(X6,X7)
        & has_card_leq(X8,int1994)
        & sub(X2,name_1_1)
        & sub(X1,firma_1_1)
        & sub(X3,name_1_1)
        & sub(X7,jahr__1_1)
        & subs(X5,n374bernehmen_1_1)
        & val(X2,bmw_0)
        & val(X3,bmw_0)
        & val(X7,X8) ),
    inference(assume_negation,[status(cth)],[synth_qa07_007_mira_wp_499]) ).

fof(c_0_7,negated_conjecture,
    ! [X415,X416,X417,X418,X419,X420,X421,X422] :
      ( ~ agt(X419,X418)
      | ~ attr(X415,X416)
      | ~ attr(X418,X417)
      | ~ attr(X420,X421)
      | ~ has_card_leq(X422,int1994)
      | ~ sub(X416,name_1_1)
      | ~ sub(X415,firma_1_1)
      | ~ sub(X417,name_1_1)
      | ~ sub(X421,jahr__1_1)
      | ~ subs(X419,n374bernehmen_1_1)
      | ~ val(X416,bmw_0)
      | ~ val(X417,bmw_0)
      | ~ val(X421,X422) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ agt(X1,X2)
    | ~ attr(X3,X4)
    | ~ attr(X2,X5)
    | ~ attr(X6,X7)
    | ~ has_card_leq(X8,int1994)
    | ~ sub(X4,name_1_1)
    | ~ sub(X3,firma_1_1)
    | ~ sub(X5,name_1_1)
    | ~ sub(X7,jahr__1_1)
    | ~ subs(X1,n374bernehmen_1_1)
    | ~ val(X4,bmw_0)
    | ~ val(X5,bmw_0)
    | ~ val(X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_9,hypothesis,
    val(c1798,bmw_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_499]) ).

cnf(c_0_10,hypothesis,
    sub(c1798,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_499]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ val(X1,bmw_0)
    | ~ val(X2,X3)
    | ~ attr(X4,c1798)
    | ~ attr(X5,X2)
    | ~ attr(X6,X1)
    | ~ agt(X7,X4)
    | ~ subs(X7,n374bernehmen_1_1)
    | ~ 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,c1798)
    | ~ attr(X4,c1798)
    | ~ attr(X5,X1)
    | ~ agt(X6,X3)
    | ~ subs(X6,n374bernehmen_1_1)
    | ~ 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(c1797,c1798),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_499]) ).

fof(c_0_14,plain,
    ! [X478,X479,X480] :
      ( ~ agt(X478,X480)
      | ~ chea(X479,X478)
      | agt(X479,X480) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[chea_agt_abs__event])]) ).

cnf(c_0_15,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,c1798)
    | ~ attr(X4,X1)
    | ~ agt(X5,c1797)
    | ~ subs(X5,n374bernehmen_1_1)
    | ~ 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_16,hypothesis,
    sub(c1797,firma_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_499]) ).

cnf(c_0_17,plain,
    ( agt(X3,X2)
    | ~ agt(X1,X2)
    | ~ chea(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,hypothesis,
    agt(c1750,c1797),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_499]) ).

cnf(c_0_19,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ agt(X4,c1797)
    | ~ subs(X4,n374bernehmen_1_1)
    | ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_16])]) ).

cnf(c_0_20,hypothesis,
    ( agt(X1,c1797)
    | ~ chea(X1,c1750) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

fof(c_0_21,plain,
    ! [X460,X461,X462] :
      ( ( chea(esk11_3(X460,X461,X462),X460)
        | ~ chea(X462,X461)
        | ~ subs(X460,X461) )
      & ( subs(esk11_3(X460,X461,X462),X462)
        | ~ chea(X462,X461)
        | ~ subs(X460,X461) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[chea_subs_abs__event])])])]) ).

cnf(c_0_22,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ chea(X4,c1750)
    | ~ subs(X4,n374bernehmen_1_1)
    | ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    ( chea(esk11_3(X1,X2,X3),X1)
    | ~ chea(X3,X2)
    | ~ subs(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ chea(X4,X5)
    | ~ subs(esk11_3(c1750,X5,X4),n374bernehmen_1_1)
    | ~ subs(c1750,X5)
    | ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,plain,
    ( subs(esk11_3(X1,X2,X3),X3)
    | ~ chea(X3,X2)
    | ~ subs(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ chea(n374bernehmen_1_1,X4)
    | ~ subs(c1750,X4)
    | ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,plain,
    chea(n374bernehmen_1_1,annahme_1_1),
    inference(split_conjunct,[status(thm)],[fact_8354]) ).

cnf(c_0_28,hypothesis,
    subs(c1750,annahme_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_499]) ).

cnf(c_0_29,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_27]),c_0_28])]) ).

cnf(c_0_30,hypothesis,
    sub(c1748,jahr__1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_499]) ).

cnf(c_0_31,hypothesis,
    ( ~ val(c1748,X1)
    | ~ attr(X2,c1748)
    | ~ has_card_leq(X1,int1994) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,hypothesis,
    val(c1748,c1744),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_499]) ).

fof(c_0_33,plain,
    ! [X467,X468] :
      ( ~ card(X467,X468)
      | has_card_leq(X467,X468) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[has_card_eq])]) ).

cnf(c_0_34,hypothesis,
    ( ~ attr(X1,c1748)
    | ~ has_card_leq(c1744,int1994) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    ( has_card_leq(X1,X2)
    | ~ card(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_36,hypothesis,
    card(c1744,int1994),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_499]) ).

cnf(c_0_37,hypothesis,
    attr(c1747,c1748),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_499]) ).

cnf(c_0_38,hypothesis,
    ~ attr(X1,c1748),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_39,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_37,c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : CSR115+83 : TPTP v9.2.1. Released v4.0.0.
% 0.08/0.14  % 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
% 0.16/0.35  % Computer : n005.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Mon May  4 17:08:00 EDT 2026
% 0.16/0.35  % CPUTime    : 
% 0.16/0.36  % start to proof: theBenchmark
% 1.78/2.02  % Version  : CSE_E---1.7
% 1.78/2.02  % Problem  : theBenchmark.p
% 1.78/2.02  % SZS status Theorem for theBenchmark.p
% 1.78/2.02  % SZS output start CNFRefutation
% See solution above
% 1.78/2.02  % Total time : 1.612s
%------------------------------------------------------------------------------