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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR115+74 : 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 : n028.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 04:15:43 PM UTC 2026

% Result   : Theorem 1.82s 2.09s
% Output   : CNFRefutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   27 (   6 unt;   0 def)
%            Number of atoms       :  245 (   0 equ)
%            Maximal formula atoms :  109 (   9 avg)
%            Number of connectives :  302 (  84   ~;  72   |; 144   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  109 (  10 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  21 usr;   1 prp; 0-6 aty)
%            Number of functors    :   45 (  45 usr;  40 con; 0-3 aty)
%            Number of variables   :   87 (  32 sgn  17   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_007_mira_wp_484,conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7] :
      ( attr(X1,X2)
      & attr(X4,X3)
      & attr(X6,X7)
      & obj(X5,X1)
      & sub(X2,name_1_1)
      & sub(X1,firma_1_1)
      & sub(X3,name_1_1)
      & val(X2,bmw_0)
      & val(X3,bmw_0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_007_mira_wp_484) ).

fof(ave07_era5_synth_qa07_007_mira_wp_484,hypothesis,
    ( tupl_p6(c112,c56,c62,c66,c78,c80)
    & sub(c56,bekanntheit_1_1)
    & sub(c62,firma_1_1)
    & preds(c66,umbau__1_1)
    & attr(c78,c79)
    & sub(c78,firma_1_1)
    & sub(c79,name_1_1)
    & val(c79,bmw_0)
    & pred(c80,fahrzeug__1_1)
    & sort(c112,ent)
    & card(c112,card_c)
    & etype(c112,etype_c)
    & fact(c112,real)
    & gener(c112,gener_c)
    & quant(c112,quant_c)
    & refer(c112,refer_c)
    & varia(c112,varia_c)
    & sort(c56,na)
    & card(c56,int1)
    & etype(c56,int0)
    & fact(c56,real)
    & gener(c56,gener_c)
    & quant(c56,one)
    & refer(c56,refer_c)
    & varia(c56,varia_c)
    & sort(c62,d)
    & sort(c62,io)
    & card(c62,int1)
    & etype(c62,int0)
    & fact(c62,real)
    & gener(c62,sp)
    & quant(c62,one)
    & refer(c62,det)
    & varia(c62,con)
    & sort(c66,ad)
    & card(c66,cons(x_constant,cons(int1,nil)))
    & etype(c66,int1)
    & fact(c66,real)
    & gener(c66,gener_c)
    & quant(c66,mult)
    & refer(c66,indet)
    & varia(c66,varia_c)
    & sort(c78,d)
    & sort(c78,io)
    & card(c78,int1)
    & etype(c78,int0)
    & fact(c78,real)
    & gener(c78,sp)
    & quant(c78,one)
    & refer(c78,det)
    & varia(c78,con)
    & sort(c80,d)
    & card(c80,cons(x_constant,cons(int1,nil)))
    & etype(c80,int1)
    & fact(c80,real)
    & gener(c80,gener_c)
    & quant(c80,mult)
    & refer(c80,indet)
    & varia(c80,varia_c)
    & sort(bekanntheit_1_1,na)
    & card(bekanntheit_1_1,int1)
    & etype(bekanntheit_1_1,int0)
    & fact(bekanntheit_1_1,real)
    & gener(bekanntheit_1_1,ge)
    & quant(bekanntheit_1_1,one)
    & refer(bekanntheit_1_1,refer_c)
    & varia(bekanntheit_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(umbau__1_1,ad)
    & card(umbau__1_1,int1)
    & etype(umbau__1_1,int0)
    & fact(umbau__1_1,real)
    & gener(umbau__1_1,ge)
    & quant(umbau__1_1,one)
    & refer(umbau__1_1,refer_c)
    & varia(umbau__1_1,varia_c)
    & sort(c79,na)
    & card(c79,int1)
    & etype(c79,int0)
    & fact(c79,real)
    & gener(c79,sp)
    & quant(c79,one)
    & refer(c79,indet)
    & varia(c79,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(fahrzeug__1_1,d)
    & card(fahrzeug__1_1,int1)
    & etype(fahrzeug__1_1,int0)
    & fact(fahrzeug__1_1,real)
    & gener(fahrzeug__1_1,ge)
    & quant(fahrzeug__1_1,one)
    & refer(fahrzeug__1_1,refer_c)
    & varia(fahrzeug__1_1,varia_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_484) ).

fof(sub__bezeichnen_1_1_als,axiom,
    ! [X1,X2,X3] :
      ( ( arg1(X1,X2)
        & arg2(X1,X3)
        & subr(X1,sub_0) )
     => ? [X4,X5,X6] :
          ( arg1(X5,X2)
          & arg2(X5,X6)
          & hsit(X1,X4)
          & mcont(X4,X5)
          & obj(X4,X2)
          & sub(X6,X3)
          & subr(X5,rprs_0)
          & subs(X4,bezeichnen_1_1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',sub__bezeichnen_1_1_als) ).

fof(sub__sub_0_expansion,axiom,
    ! [X1,X2] :
      ( sub(X1,X2)
     => ? [X3] :
          ( arg1(X3,X1)
          & arg2(X3,X2)
          & subr(X3,sub_0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',sub__sub_0_expansion) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5,X6,X7] :
        ( attr(X1,X2)
        & attr(X4,X3)
        & attr(X6,X7)
        & obj(X5,X1)
        & sub(X2,name_1_1)
        & sub(X1,firma_1_1)
        & sub(X3,name_1_1)
        & val(X2,bmw_0)
        & val(X3,bmw_0) ),
    inference(assume_negation,[status(cth)],[synth_qa07_007_mira_wp_484]) ).

fof(c_0_5,negated_conjecture,
    ! [X406,X407,X408,X409,X410,X411,X412] :
      ( ~ attr(X406,X407)
      | ~ attr(X409,X408)
      | ~ attr(X411,X412)
      | ~ obj(X410,X406)
      | ~ sub(X407,name_1_1)
      | ~ sub(X406,firma_1_1)
      | ~ sub(X408,name_1_1)
      | ~ val(X407,bmw_0)
      | ~ val(X408,bmw_0) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ attr(X1,X2)
    | ~ attr(X3,X4)
    | ~ attr(X5,X6)
    | ~ obj(X7,X1)
    | ~ sub(X2,name_1_1)
    | ~ sub(X1,firma_1_1)
    | ~ sub(X4,name_1_1)
    | ~ val(X2,bmw_0)
    | ~ val(X4,bmw_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_7,hypothesis,
    val(c79,bmw_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_484]) ).

cnf(c_0_8,hypothesis,
    sub(c79,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_484]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ val(X1,bmw_0)
    | ~ attr(X2,c79)
    | ~ attr(X3,X4)
    | ~ attr(X5,X1)
    | ~ obj(X6,X5)
    | ~ sub(X1,name_1_1)
    | ~ sub(X5,firma_1_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).

cnf(c_0_10,hypothesis,
    ( ~ attr(X1,c79)
    | ~ attr(X2,c79)
    | ~ attr(X3,X4)
    | ~ obj(X5,X2)
    | ~ sub(X2,firma_1_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_7]),c_0_8])]) ).

cnf(c_0_11,hypothesis,
    attr(c78,c79),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_484]) ).

cnf(c_0_12,hypothesis,
    ( ~ attr(X1,c79)
    | ~ attr(X2,X3)
    | ~ obj(X4,X1)
    | ~ sub(X1,firma_1_1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,hypothesis,
    sub(c78,firma_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_484]) ).

fof(c_0_14,plain,
    ! [X688,X689,X690] :
      ( ( arg1(esk41_3(X688,X689,X690),X689)
        | ~ arg1(X688,X689)
        | ~ arg2(X688,X690)
        | ~ subr(X688,sub_0) )
      & ( arg2(esk41_3(X688,X689,X690),esk42_3(X688,X689,X690))
        | ~ arg1(X688,X689)
        | ~ arg2(X688,X690)
        | ~ subr(X688,sub_0) )
      & ( hsit(X688,esk40_3(X688,X689,X690))
        | ~ arg1(X688,X689)
        | ~ arg2(X688,X690)
        | ~ subr(X688,sub_0) )
      & ( mcont(esk40_3(X688,X689,X690),esk41_3(X688,X689,X690))
        | ~ arg1(X688,X689)
        | ~ arg2(X688,X690)
        | ~ subr(X688,sub_0) )
      & ( obj(esk40_3(X688,X689,X690),X689)
        | ~ arg1(X688,X689)
        | ~ arg2(X688,X690)
        | ~ subr(X688,sub_0) )
      & ( sub(esk42_3(X688,X689,X690),X690)
        | ~ arg1(X688,X689)
        | ~ arg2(X688,X690)
        | ~ subr(X688,sub_0) )
      & ( subr(esk41_3(X688,X689,X690),rprs_0)
        | ~ arg1(X688,X689)
        | ~ arg2(X688,X690)
        | ~ subr(X688,sub_0) )
      & ( subs(esk40_3(X688,X689,X690),bezeichnen_1_1)
        | ~ arg1(X688,X689)
        | ~ arg2(X688,X690)
        | ~ subr(X688,sub_0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sub__bezeichnen_1_1_als])])])])]) ).

cnf(c_0_15,hypothesis,
    ( ~ attr(X1,X2)
    | ~ obj(X3,c78) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_11]),c_0_13])]) ).

cnf(c_0_16,plain,
    ( obj(esk40_3(X1,X2,X3),X2)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subr(X1,sub_0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_17,plain,
    ! [X694,X695] :
      ( ( arg1(esk43_2(X694,X695),X694)
        | ~ sub(X694,X695) )
      & ( arg2(esk43_2(X694,X695),X695)
        | ~ sub(X694,X695) )
      & ( subr(esk43_2(X694,X695),sub_0)
        | ~ sub(X694,X695) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sub__sub_0_expansion])])])]) ).

cnf(c_0_18,hypothesis,
    ( ~ subr(X1,sub_0)
    | ~ attr(X2,X3)
    | ~ arg2(X1,X4)
    | ~ arg1(X1,c78) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    ( subr(esk43_2(X1,X2),sub_0)
    | ~ sub(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg2(esk43_2(X3,X4),X5)
    | ~ arg1(esk43_2(X3,X4),c78)
    | ~ sub(X3,X4) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,plain,
    ( arg1(esk43_2(X1,X2),X1)
    | ~ sub(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg2(esk43_2(c78,X3),X4)
    | ~ sub(c78,X3) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,plain,
    ( arg2(esk43_2(X1,X2),X2)
    | ~ sub(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(c78,X3) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,hypothesis,
    ~ attr(X1,X2),
    inference(spm,[status(thm)],[c_0_24,c_0_13]) ).

cnf(c_0_26,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_11,c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR115+74 : 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
% 0.14/0.33  % Computer : n028.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon May  4 17:07:31 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.82/2.09  % Version  : CSE_E---1.7
% 1.82/2.09  % Problem  : theBenchmark.p
% 1.82/2.09  % SZS status Theorem for theBenchmark.p
% 1.82/2.09  % SZS output start CNFRefutation
% See solution above
% 1.82/2.09  % Total time : 1.711s
%------------------------------------------------------------------------------