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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR115+62 : 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 : n026.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 04:15:41 PM UTC 2026

% Result   : Theorem 1.81s 2.04s
% Output   : CNFRefutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   28 (  12 unt;   0 def)
%            Number of atoms       :  284 (   0 equ)
%            Maximal formula atoms :  159 (  10 avg)
%            Number of connectives :  338 (  82   ~;  71   |; 184   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  159 (  12 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  22 usr;   1 prp; 0-2 aty)
%            Number of functors    :   52 (  52 usr;  51 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn  12   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_007_mira_wp_469,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)
      & temp(X5,X6)
      & val(X2,bmw_0)
      & val(X3,bmw_0)
      & val(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_007_mira_wp_469) ).

fof(ave07_era5_synth_qa07_007_mira_wp_469,hypothesis,
    ( sub(c12,eisenbahn__1_1)
    & agt(c126,c128)
    & loc(c126,c132)
    & obj(c126,c26)
    & subs(c126,n374bernehmen_1_1)
    & temp(c126,c7)
    & attr(c128,c129)
    & sub(c128,firma_1_1)
    & sub(c129,name_1_1)
    & val(c129,bmw_0)
    & in(c132,c12)
    & aff(c16,c22)
    & attch(c16,c12)
    & subs(c16,deregulation_1_1)
    & pred(c22,unternehmen_1_1)
    & prop(c22,staatlich__1_1)
    & sub(c26,firma_1_1)
    & attr(c7,c8)
    & sub(c8,jahr__1_1)
    & val(c8,c4)
    & sort(c12,d)
    & card(c12,int1)
    & etype(c12,int0)
    & fact(c12,real)
    & gener(c12,sp)
    & quant(c12,one)
    & refer(c12,det)
    & varia(c12,con)
    & sort(eisenbahn__1_1,d)
    & card(eisenbahn__1_1,int1)
    & etype(eisenbahn__1_1,int0)
    & fact(eisenbahn__1_1,real)
    & gener(eisenbahn__1_1,ge)
    & quant(eisenbahn__1_1,one)
    & refer(eisenbahn__1_1,refer_c)
    & varia(eisenbahn__1_1,varia_c)
    & sort(c126,da)
    & fact(c126,real)
    & gener(c126,sp)
    & sort(c128,d)
    & sort(c128,io)
    & card(c128,int1)
    & etype(c128,int0)
    & fact(c128,real)
    & gener(c128,sp)
    & quant(c128,one)
    & refer(c128,det)
    & varia(c128,con)
    & sort(c132,l)
    & card(c132,int1)
    & etype(c132,int0)
    & fact(c132,real)
    & gener(c132,sp)
    & quant(c132,one)
    & refer(c132,det)
    & varia(c132,con)
    & sort(c26,d)
    & sort(c26,io)
    & card(c26,int1)
    & etype(c26,int0)
    & fact(c26,real)
    & gener(c26,sp)
    & quant(c26,one)
    & refer(c26,det)
    & varia(c26,con)
    & sort(n374bernehmen_1_1,da)
    & fact(n374bernehmen_1_1,real)
    & gener(n374bernehmen_1_1,ge)
    & sort(c7,t)
    & card(c7,int1)
    & etype(c7,int0)
    & fact(c7,real)
    & gener(c7,sp)
    & quant(c7,one)
    & refer(c7,det)
    & varia(c7,con)
    & sort(c129,na)
    & card(c129,int1)
    & etype(c129,int0)
    & fact(c129,real)
    & gener(c129,sp)
    & quant(c129,one)
    & refer(c129,indet)
    & varia(c129,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(c16,ad)
    & card(c16,int1)
    & etype(c16,int0)
    & fact(c16,real)
    & gener(c16,sp)
    & quant(c16,one)
    & refer(c16,det)
    & varia(c16,con)
    & sort(c22,d)
    & sort(c22,io)
    & card(c22,cons(x_constant,cons(int1,nil)))
    & etype(c22,int1)
    & fact(c22,real)
    & gener(c22,sp)
    & quant(c22,mult)
    & refer(c22,indet)
    & varia(c22,varia_c)
    & sort(deregulation_1_1,ad)
    & card(deregulation_1_1,int1)
    & etype(deregulation_1_1,int0)
    & fact(deregulation_1_1,real)
    & gener(deregulation_1_1,ge)
    & quant(deregulation_1_1,one)
    & refer(deregulation_1_1,refer_c)
    & varia(deregulation_1_1,varia_c)
    & sort(unternehmen_1_1,d)
    & sort(unternehmen_1_1,io)
    & card(unternehmen_1_1,int1)
    & etype(unternehmen_1_1,int0)
    & fact(unternehmen_1_1,real)
    & gener(unternehmen_1_1,ge)
    & quant(unternehmen_1_1,one)
    & refer(unternehmen_1_1,refer_c)
    & varia(unternehmen_1_1,varia_c)
    & sort(staatlich__1_1,tq)
    & sort(c8,me)
    & sort(c8,oa)
    & sort(c8,ta)
    & card(c8,card_c)
    & etype(c8,etype_c)
    & fact(c8,real)
    & gener(c8,sp)
    & quant(c8,quant_c)
    & refer(c8,refer_c)
    & varia(c8,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(c4,nu)
    & card(c4,int1994) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_469) ).

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(c_0_3,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)
        & temp(X5,X6)
        & val(X2,bmw_0)
        & val(X3,bmw_0)
        & val(X7,X8) ),
    inference(assume_negation,[status(cth)],[synth_qa07_007_mira_wp_469]) ).

fof(c_0_4,negated_conjecture,
    ! [X400,X401,X402,X403,X404,X405,X406,X407] :
      ( ~ agt(X404,X403)
      | ~ attr(X400,X401)
      | ~ attr(X403,X402)
      | ~ attr(X405,X406)
      | ~ has_card_leq(X407,int1994)
      | ~ sub(X401,name_1_1)
      | ~ sub(X400,firma_1_1)
      | ~ sub(X402,name_1_1)
      | ~ sub(X406,jahr__1_1)
      | ~ subs(X404,n374bernehmen_1_1)
      | ~ temp(X404,X405)
      | ~ val(X401,bmw_0)
      | ~ val(X402,bmw_0)
      | ~ val(X406,X407) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_5,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)
    | ~ temp(X1,X6)
    | ~ val(X4,bmw_0)
    | ~ val(X5,bmw_0)
    | ~ val(X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_6,hypothesis,
    val(c129,bmw_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

cnf(c_0_7,hypothesis,
    sub(c129,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ val(X1,bmw_0)
    | ~ val(X2,X3)
    | ~ attr(X4,c129)
    | ~ attr(X5,X2)
    | ~ attr(X6,X1)
    | ~ agt(X7,X4)
    | ~ temp(X7,X5)
    | ~ 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_5,c_0_6]),c_0_7])]) ).

cnf(c_0_9,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,c129)
    | ~ attr(X4,c129)
    | ~ attr(X5,X1)
    | ~ agt(X6,X3)
    | ~ temp(X6,X5)
    | ~ 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_8,c_0_6]),c_0_7])]) ).

cnf(c_0_10,hypothesis,
    attr(c128,c129),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

cnf(c_0_11,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,c129)
    | ~ attr(X4,X1)
    | ~ agt(X5,c128)
    | ~ temp(X5,X4)
    | ~ 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_9,c_0_10]) ).

cnf(c_0_12,hypothesis,
    sub(c128,firma_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

cnf(c_0_13,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ agt(X4,c128)
    | ~ temp(X4,X3)
    | ~ 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_11,c_0_10]),c_0_12])]) ).

cnf(c_0_14,hypothesis,
    agt(c126,c128),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

cnf(c_0_15,hypothesis,
    subs(c126,n374bernehmen_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

cnf(c_0_16,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(X3,X1)
    | ~ temp(c126,X3)
    | ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994) ),
    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,
    temp(c126,c7),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

cnf(c_0_18,hypothesis,
    ( ~ val(X1,X2)
    | ~ attr(c7,X1)
    | ~ sub(X1,jahr__1_1)
    | ~ has_card_leq(X2,int1994) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,hypothesis,
    attr(c7,c8),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

cnf(c_0_20,hypothesis,
    sub(c8,jahr__1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

fof(c_0_21,plain,
    ! [X468,X469] :
      ( ~ card(X468,X469)
      | has_card_leq(X468,X469) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[has_card_eq])]) ).

cnf(c_0_22,hypothesis,
    ( ~ val(c8,X1)
    | ~ has_card_leq(X1,int1994) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_23,plain,
    ( has_card_leq(X1,X2)
    | ~ card(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,hypothesis,
    ( ~ val(c8,X1)
    | ~ card(X1,int1994) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,hypothesis,
    val(c8,c4),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

cnf(c_0_26,hypothesis,
    card(c4,int1994),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_469]) ).

cnf(c_0_27,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR115+62 : 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
% 0.16/0.32  % Computer : n026.cluster.edu
% 0.16/0.32  % Model    : x86_64 x86_64
% 0.16/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32  % Memory   : 8042.1875MB
% 0.16/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32  % CPULimit   : 300
% 0.16/0.32  % WCLimit    : 300
% 0.16/0.32  % DateTime   : Mon May  4 17:07:53 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 1.81/2.04  % Version  : CSE_E---1.7
% 1.81/2.04  % Problem  : theBenchmark.p
% 1.81/2.04  % SZS status Theorem for theBenchmark.p
% 1.81/2.04  % SZS output start CNFRefutation
% See solution above
% 1.81/2.04  % Total time : 1.665s
%------------------------------------------------------------------------------