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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR115+94 : 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 : n009.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 04:15:46 PM UTC 2026

% Result   : Theorem 1.78s 2.02s
% Output   : CNFRefutation 1.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :  387 (   0 equ)
%            Maximal formula atoms :  277 (  12 avg)
%            Number of connectives :  416 (  60   ~;  49   |; 304   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  277 (  14 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-8 aty)
%            Number of functors    :   69 (  69 usr;  65 con; 0-3 aty)
%            Number of variables   :   76 (  29 sgn  20   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_007_mn3_209_a19984,conjecture,
    ? [X1,X2,X3,X4,X5,X6] :
      ( attr(X3,X2)
      & attr(X5,X6)
      & obj(X4,X1)
      & prop(X1,britisch__1_1)
      & sub(X1,firma_1_1)
      & sub(X2,name_1_1)
      & val(X2,bmw_0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_007_mn3_209_a19984) ).

fof(ave07_era5_synth_qa07_007_mn3_209_a19984,hypothesis,
    ( assoc(autokonzern_1_1,auto__1_1)
    & sub(autokonzern_1_1,firma_1_1)
    & sub(autokonzern_1_1,firmengruppe_1_1)
    & attr(c55721,c55722)
    & prop(c55721,bundesdeutsch_1_1)
    & sub(c55721,autokonzern_1_1)
    & sub(c55722,name_1_1)
    & val(c55722,bmw_0)
    & prop(c55741,pass__351_1_1)
    & sub(c55741,woche_1_1)
    & subs(c55747,ankauf__1_1)
    & attch(c56040,c55747)
    & attr(c56040,c56041)
    & prop(c56040,britisch__1_1)
    & sub(c56040,firma_1_1)
    & sub(c56041,name_1_1)
    & val(c56041,rover_0)
    & subs(c56049,interesse_1_1)
    & subs(c56053,ankauf__1_1)
    & attch(c56062,c56053)
    & prop(c56062,britisch__1_1)
    & sub(c56062,luxusmarke_1_1)
    & attr(c56073,c56062)
    & attr(c56073,c56074)
    & sub(c56073,mensch_1_1)
    & sub(c56074,familiename_1_1)
    & val(c56074,roll_0)
    & attr(c56078,c56079)
    & sub(c56078,mensch_1_1)
    & sub(c56079,eigenname_1_1)
    & val(c56079,royce_0)
    & tupl_p8(c56100,c55721,c55721,c55741,c55747,c56049,c56053,c56078)
    & assoc(luxusmarke_1_1,luxus__1_1)
    & sub(luxusmarke_1_1,marke_1_1)
    & sort(autokonzern_1_1,d)
    & sort(autokonzern_1_1,io)
    & card(autokonzern_1_1,int1)
    & etype(autokonzern_1_1,int0)
    & fact(autokonzern_1_1,real)
    & gener(autokonzern_1_1,ge)
    & quant(autokonzern_1_1,one)
    & refer(autokonzern_1_1,refer_c)
    & varia(autokonzern_1_1,varia_c)
    & sort(auto__1_1,d)
    & card(auto__1_1,int1)
    & etype(auto__1_1,int0)
    & fact(auto__1_1,real)
    & gener(auto__1_1,ge)
    & quant(auto__1_1,one)
    & refer(auto__1_1,refer_c)
    & varia(auto__1_1,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(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(c55721,d)
    & sort(c55721,io)
    & card(c55721,int1)
    & etype(c55721,int0)
    & fact(c55721,real)
    & gener(c55721,sp)
    & quant(c55721,one)
    & refer(c55721,det)
    & varia(c55721,con)
    & sort(c55722,na)
    & card(c55722,int1)
    & etype(c55722,int0)
    & fact(c55722,real)
    & gener(c55722,sp)
    & quant(c55722,one)
    & refer(c55722,indet)
    & varia(c55722,varia_c)
    & sort(bundesdeutsch_1_1,tq)
    & 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(c55741,me)
    & sort(c55741,oa)
    & sort(c55741,ta)
    & card(c55741,card_c)
    & etype(c55741,etype_c)
    & fact(c55741,real)
    & gener(c55741,sp)
    & quant(c55741,quant_c)
    & refer(c55741,det)
    & varia(c55741,con)
    & sort(pass__351_1_1,tq)
    & sort(woche_1_1,me)
    & sort(woche_1_1,oa)
    & sort(woche_1_1,ta)
    & card(woche_1_1,card_c)
    & etype(woche_1_1,etype_c)
    & fact(woche_1_1,real)
    & gener(woche_1_1,ge)
    & quant(woche_1_1,quant_c)
    & refer(woche_1_1,refer_c)
    & varia(woche_1_1,varia_c)
    & sort(c55747,ad)
    & card(c55747,int1)
    & etype(c55747,int0)
    & fact(c55747,real)
    & gener(c55747,sp)
    & quant(c55747,one)
    & refer(c55747,det)
    & varia(c55747,con)
    & sort(ankauf__1_1,ad)
    & card(ankauf__1_1,int1)
    & etype(ankauf__1_1,int0)
    & fact(ankauf__1_1,real)
    & gener(ankauf__1_1,ge)
    & quant(ankauf__1_1,one)
    & refer(ankauf__1_1,refer_c)
    & varia(ankauf__1_1,varia_c)
    & sort(c56040,d)
    & sort(c56040,io)
    & card(c56040,int1)
    & etype(c56040,int0)
    & fact(c56040,real)
    & gener(c56040,sp)
    & quant(c56040,one)
    & refer(c56040,det)
    & varia(c56040,con)
    & sort(c56041,na)
    & card(c56041,int1)
    & etype(c56041,int0)
    & fact(c56041,real)
    & gener(c56041,sp)
    & quant(c56041,one)
    & refer(c56041,indet)
    & varia(c56041,varia_c)
    & sort(britisch__1_1,nq)
    & sort(rover_0,fe)
    & sort(c56049,as)
    & card(c56049,int1)
    & etype(c56049,int0)
    & fact(c56049,real)
    & gener(c56049,gener_c)
    & quant(c56049,one)
    & refer(c56049,refer_c)
    & varia(c56049,varia_c)
    & sort(interesse_1_1,as)
    & card(interesse_1_1,int1)
    & etype(interesse_1_1,int0)
    & fact(interesse_1_1,real)
    & gener(interesse_1_1,ge)
    & quant(interesse_1_1,one)
    & refer(interesse_1_1,refer_c)
    & varia(interesse_1_1,varia_c)
    & sort(c56053,ad)
    & card(c56053,int1)
    & etype(c56053,int0)
    & fact(c56053,real)
    & gener(c56053,sp)
    & quant(c56053,one)
    & refer(c56053,det)
    & varia(c56053,con)
    & sort(c56062,io)
    & sort(c56062,oa)
    & card(c56062,int1)
    & etype(c56062,int0)
    & fact(c56062,real)
    & gener(c56062,sp)
    & quant(c56062,one)
    & refer(c56062,det)
    & varia(c56062,con)
    & sort(luxusmarke_1_1,io)
    & sort(luxusmarke_1_1,oa)
    & card(luxusmarke_1_1,int1)
    & etype(luxusmarke_1_1,int0)
    & fact(luxusmarke_1_1,real)
    & gener(luxusmarke_1_1,ge)
    & quant(luxusmarke_1_1,one)
    & refer(luxusmarke_1_1,refer_c)
    & varia(luxusmarke_1_1,varia_c)
    & sort(c56073,d)
    & card(c56073,int1)
    & etype(c56073,int0)
    & fact(c56073,real)
    & gener(c56073,sp)
    & quant(c56073,one)
    & refer(c56073,det)
    & varia(c56073,con)
    & sort(c56074,na)
    & card(c56074,int1)
    & etype(c56074,int0)
    & fact(c56074,real)
    & gener(c56074,sp)
    & quant(c56074,one)
    & refer(c56074,indet)
    & varia(c56074,varia_c)
    & 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(roll_0,fe)
    & sort(c56078,d)
    & card(c56078,int1)
    & etype(c56078,int0)
    & fact(c56078,real)
    & gener(c56078,sp)
    & quant(c56078,one)
    & refer(c56078,det)
    & varia(c56078,con)
    & sort(c56079,na)
    & card(c56079,int1)
    & etype(c56079,int0)
    & fact(c56079,real)
    & gener(c56079,sp)
    & quant(c56079,one)
    & refer(c56079,indet)
    & varia(c56079,varia_c)
    & sort(eigenname_1_1,na)
    & card(eigenname_1_1,int1)
    & etype(eigenname_1_1,int0)
    & fact(eigenname_1_1,real)
    & gener(eigenname_1_1,ge)
    & quant(eigenname_1_1,one)
    & refer(eigenname_1_1,refer_c)
    & varia(eigenname_1_1,varia_c)
    & sort(royce_0,fe)
    & sort(c56100,ent)
    & card(c56100,card_c)
    & etype(c56100,etype_c)
    & fact(c56100,real)
    & gener(c56100,gener_c)
    & quant(c56100,quant_c)
    & refer(c56100,refer_c)
    & varia(c56100,varia_c)
    & sort(luxus__1_1,io)
    & card(luxus__1_1,int1)
    & etype(luxus__1_1,int0)
    & fact(luxus__1_1,real)
    & gener(luxus__1_1,ge)
    & quant(luxus__1_1,one)
    & refer(luxus__1_1,refer_c)
    & varia(luxus__1_1,varia_c)
    & sort(marke_1_1,io)
    & sort(marke_1_1,oa)
    & card(marke_1_1,int1)
    & etype(marke_1_1,int0)
    & fact(marke_1_1,real)
    & gener(marke_1_1,ge)
    & quant(marke_1_1,one)
    & refer(marke_1_1,refer_c)
    & varia(marke_1_1,varia_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_007_mn3_209_a19984) ).

fof(loc__geben_1_1_loc,axiom,
    ! [X1,X2] :
      ( ( has_fact_leq(X2,real)
        & loc(X2,X1) )
     => ? [X3] :
          ( loc(X3,X1)
          & obj(X3,X2)
          & subs(X3,geben_1_1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',loc__geben_1_1_loc) ).

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

fof(state_adjective__in_state,axiom,
    ! [X1,X2,X3] :
      ( ( prop(X1,X2)
        & state_adjective_state_binding(X2,X3) )
     => ? [X4,X5,X6] :
          ( in(X6,X4)
          & attr(X4,X5)
          & loc(X1,X6)
          & sub(X4,land_1_1)
          & sub(X5,name_1_1)
          & val(X5,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',state_adjective__in_state) ).

fof(fact_8846,axiom,
    state_adjective_state_binding(britisch__1_1,grossbritannien_0),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',fact_8846) ).

fof(c_0_6,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5,X6] :
        ( attr(X3,X2)
        & attr(X5,X6)
        & obj(X4,X1)
        & prop(X1,britisch__1_1)
        & sub(X1,firma_1_1)
        & sub(X2,name_1_1)
        & val(X2,bmw_0) ),
    inference(assume_negation,[status(cth)],[synth_qa07_007_mn3_209_a19984]) ).

fof(c_0_7,negated_conjecture,
    ! [X409,X410,X411,X412,X413,X414] :
      ( ~ attr(X411,X410)
      | ~ attr(X413,X414)
      | ~ obj(X412,X409)
      | ~ prop(X409,britisch__1_1)
      | ~ sub(X409,firma_1_1)
      | ~ sub(X410,name_1_1)
      | ~ val(X410,bmw_0) ),
    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)
    | ~ obj(X5,X6)
    | ~ prop(X6,britisch__1_1)
    | ~ sub(X6,firma_1_1)
    | ~ sub(X2,name_1_1)
    | ~ val(X2,bmw_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_9,hypothesis,
    val(c55722,bmw_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).

cnf(c_0_10,hypothesis,
    sub(c55722,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ prop(X1,britisch__1_1)
    | ~ attr(X2,c55722)
    | ~ attr(X3,X4)
    | ~ obj(X5,X1)
    | ~ sub(X1,firma_1_1) ),
    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,
    prop(c56040,britisch__1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).

cnf(c_0_13,hypothesis,
    sub(c56040,firma_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).

cnf(c_0_14,hypothesis,
    ( ~ attr(X1,c55722)
    | ~ attr(X2,X3)
    | ~ obj(X4,c56040) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

cnf(c_0_15,hypothesis,
    attr(c55721,c55722),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).

fof(c_0_16,plain,
    ! [X499,X500] :
      ( ( loc(esk12_2(X499,X500),X499)
        | ~ has_fact_leq(X500,real)
        | ~ loc(X500,X499) )
      & ( obj(esk12_2(X499,X500),X500)
        | ~ has_fact_leq(X500,real)
        | ~ loc(X500,X499) )
      & ( subs(esk12_2(X499,X500),geben_1_1)
        | ~ has_fact_leq(X500,real)
        | ~ loc(X500,X499) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[loc__geben_1_1_loc])])])]) ).

cnf(c_0_17,hypothesis,
    ( ~ attr(X1,X2)
    | ~ obj(X3,c56040) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    ( obj(esk12_2(X1,X2),X2)
    | ~ has_fact_leq(X2,real)
    | ~ loc(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_19,plain,
    ! [X487,X488] :
      ( ~ fact(X487,X488)
      | has_fact_leq(X487,X488) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[has_fact_eq])]) ).

cnf(c_0_20,hypothesis,
    ( ~ attr(X1,X2)
    | ~ loc(c56040,X3)
    | ~ has_fact_leq(c56040,real) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    ( has_fact_leq(X1,X2)
    | ~ fact(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,hypothesis,
    fact(c56040,real),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mn3_209_a19984]) ).

fof(c_0_23,plain,
    ! [X439,X440,X441] :
      ( ( in(esk9_3(X439,X440,X441),esk7_3(X439,X440,X441))
        | ~ prop(X439,X440)
        | ~ state_adjective_state_binding(X440,X441) )
      & ( attr(esk7_3(X439,X440,X441),esk8_3(X439,X440,X441))
        | ~ prop(X439,X440)
        | ~ state_adjective_state_binding(X440,X441) )
      & ( loc(X439,esk9_3(X439,X440,X441))
        | ~ prop(X439,X440)
        | ~ state_adjective_state_binding(X440,X441) )
      & ( sub(esk7_3(X439,X440,X441),land_1_1)
        | ~ prop(X439,X440)
        | ~ state_adjective_state_binding(X440,X441) )
      & ( sub(esk8_3(X439,X440,X441),name_1_1)
        | ~ prop(X439,X440)
        | ~ state_adjective_state_binding(X440,X441) )
      & ( val(esk8_3(X439,X440,X441),X441)
        | ~ prop(X439,X440)
        | ~ state_adjective_state_binding(X440,X441) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[state_adjective__in_state])])])])]) ).

cnf(c_0_24,hypothesis,
    ( ~ attr(X1,X2)
    | ~ loc(c56040,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_25,plain,
    ( loc(X1,esk9_3(X1,X2,X3))
    | ~ prop(X1,X2)
    | ~ state_adjective_state_binding(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_26,hypothesis,
    ( ~ state_adjective_state_binding(X1,X2)
    | ~ prop(c56040,X1)
    | ~ attr(X3,X4) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,hypothesis,
    ( ~ state_adjective_state_binding(britisch__1_1,X1)
    | ~ attr(X2,X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_12]) ).

cnf(c_0_28,plain,
    state_adjective_state_binding(britisch__1_1,grossbritannien_0),
    inference(split_conjunct,[status(thm)],[fact_8846]) ).

cnf(c_0_29,hypothesis,
    ~ attr(X1,X2),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_15,c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : CSR115+94 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11  % 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
% 0.12/0.32  % Computer : n009.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon May  4 17:07:41 EDT 2026
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  % 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
% 1.84/2.02  % Total time : 1.661s
%------------------------------------------------------------------------------