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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR114+13 : 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 : n020.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 04:15:30 PM UTC 2026

% Result   : Theorem 1.75s 2.04s
% Output   : CNFRefutation 1.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   28 (  10 unt;   0 def)
%            Number of atoms       :  233 (   0 equ)
%            Maximal formula atoms :  135 (   8 avg)
%            Number of connectives :  257 (  52   ~;  42   |; 161   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  135 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-5 aty)
%            Number of functors    :   51 (  51 usr;  46 con; 0-3 aty)
%            Number of variables   :   63 (  14 sgn  15   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_004_mira_wp_311,conjecture,
    ? [X1,X2,X3,X4,X5] :
      ( attr(X1,X2)
      & loc(X5,X3)
      & scar(X5,X4)
      & sub(X2,name_1_1)
      & sub(X1,stadt__1_1)
      & subs(X5,stehen_1_1)
      & val(X2,rom_0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_004_mira_wp_311) ).

fof(ave07_era5_synth_qa07_004_mira_wp_311,hypothesis,
    ( attr(c112,c113)
    & sub(c112,gebietsinstitution_1_1)
    & sub(c113,name_1_1)
    & val(c113,ponza_0)
    & prop(c117,beliebt_1_1)
    & sub(c117,ferienziel_1_1)
    & pred(c123,tourist_1_1)
    & prop(c123,italienisch__1_1)
    & attr(c136,c137)
    & sub(c136,stadt__1_1)
    & sub(c137,name_1_1)
    & val(c137,rom_0)
    & tupl_p5(c694,c112,c117,c123,c136)
    & assoc(ferienziel_1_1,ferien__1_1)
    & sub(ferienziel_1_1,ziel_1_1)
    & sort(c112,d)
    & sort(c112,io)
    & card(c112,int1)
    & etype(c112,int0)
    & fact(c112,real)
    & gener(c112,sp)
    & quant(c112,one)
    & refer(c112,det)
    & varia(c112,con)
    & sort(c113,na)
    & card(c113,int1)
    & etype(c113,int0)
    & fact(c113,real)
    & gener(c113,sp)
    & quant(c113,one)
    & refer(c113,indet)
    & varia(c113,varia_c)
    & sort(gebietsinstitution_1_1,d)
    & sort(gebietsinstitution_1_1,io)
    & card(gebietsinstitution_1_1,int1)
    & etype(gebietsinstitution_1_1,int0)
    & fact(gebietsinstitution_1_1,real)
    & gener(gebietsinstitution_1_1,ge)
    & quant(gebietsinstitution_1_1,one)
    & refer(gebietsinstitution_1_1,refer_c)
    & varia(gebietsinstitution_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(ponza_0,fe)
    & sort(c117,io)
    & card(c117,int1)
    & etype(c117,int0)
    & fact(c117,real)
    & gener(c117,sp)
    & quant(c117,one)
    & refer(c117,indet)
    & varia(c117,varia_c)
    & sort(beliebt_1_1,nq)
    & sort(ferienziel_1_1,io)
    & card(ferienziel_1_1,int1)
    & etype(ferienziel_1_1,int0)
    & fact(ferienziel_1_1,real)
    & gener(ferienziel_1_1,ge)
    & quant(ferienziel_1_1,one)
    & refer(ferienziel_1_1,refer_c)
    & varia(ferienziel_1_1,varia_c)
    & sort(c123,d)
    & card(c123,cons(x_constant,cons(int1,nil)))
    & etype(c123,int1)
    & fact(c123,real)
    & gener(c123,gener_c)
    & quant(c123,mult)
    & refer(c123,refer_c)
    & varia(c123,varia_c)
    & sort(tourist_1_1,d)
    & card(tourist_1_1,int1)
    & etype(tourist_1_1,int0)
    & fact(tourist_1_1,real)
    & gener(tourist_1_1,ge)
    & quant(tourist_1_1,one)
    & refer(tourist_1_1,refer_c)
    & varia(tourist_1_1,varia_c)
    & sort(italienisch__1_1,nq)
    & sort(c136,d)
    & sort(c136,io)
    & card(c136,int1)
    & etype(c136,int0)
    & fact(c136,real)
    & gener(c136,sp)
    & quant(c136,one)
    & refer(c136,det)
    & varia(c136,con)
    & sort(c137,na)
    & card(c137,int1)
    & etype(c137,int0)
    & fact(c137,real)
    & gener(c137,sp)
    & quant(c137,one)
    & refer(c137,indet)
    & varia(c137,varia_c)
    & sort(stadt__1_1,d)
    & sort(stadt__1_1,io)
    & card(stadt__1_1,int1)
    & etype(stadt__1_1,int0)
    & fact(stadt__1_1,real)
    & gener(stadt__1_1,ge)
    & quant(stadt__1_1,one)
    & refer(stadt__1_1,refer_c)
    & varia(stadt__1_1,varia_c)
    & sort(rom_0,fe)
    & sort(c694,ent)
    & card(c694,card_c)
    & etype(c694,etype_c)
    & fact(c694,real)
    & gener(c694,gener_c)
    & quant(c694,quant_c)
    & refer(c694,refer_c)
    & varia(c694,varia_c)
    & sort(ferien__1_1,as)
    & card(ferien__1_1,int1)
    & etype(ferien__1_1,int0)
    & fact(ferien__1_1,real)
    & gener(ferien__1_1,ge)
    & quant(ferien__1_1,one)
    & refer(ferien__1_1,refer_c)
    & varia(ferien__1_1,varia_c)
    & sort(ziel_1_1,io)
    & card(ziel_1_1,int1)
    & etype(ziel_1_1,int0)
    & fact(ziel_1_1,real)
    & gener(ziel_1_1,ge)
    & quant(ziel_1_1,one)
    & refer(ziel_1_1,refer_c)
    & varia(ziel_1_1,varia_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_004_mira_wp_311) ).

fof(loc__stehen_1_1_loc,axiom,
    ! [X1,X2] :
      ( loc(X1,X2)
     => ? [X3] :
          ( loc(X3,X2)
          & scar(X3,X1)
          & subs(X3,stehen_1_1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',loc__stehen_1_1_loc) ).

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/sandbox/benchmark/Axioms/CSR004+0.ax',state_adjective__in_state) ).

fof(fact_8886,axiom,
    state_adjective_state_binding(italienisch__1_1,italien_0),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',fact_8886) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5] :
        ( attr(X1,X2)
        & loc(X5,X3)
        & scar(X5,X4)
        & sub(X2,name_1_1)
        & sub(X1,stadt__1_1)
        & subs(X5,stehen_1_1)
        & val(X2,rom_0) ),
    inference(assume_negation,[status(cth)],[synth_qa07_004_mira_wp_311]) ).

fof(c_0_6,negated_conjecture,
    ! [X416,X417,X418,X419,X420] :
      ( ~ attr(X416,X417)
      | ~ loc(X420,X418)
      | ~ scar(X420,X419)
      | ~ sub(X417,name_1_1)
      | ~ sub(X416,stadt__1_1)
      | ~ subs(X420,stehen_1_1)
      | ~ val(X417,rom_0) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ attr(X1,X2)
    | ~ loc(X3,X4)
    | ~ scar(X3,X5)
    | ~ sub(X2,name_1_1)
    | ~ sub(X1,stadt__1_1)
    | ~ subs(X3,stehen_1_1)
    | ~ val(X2,rom_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_8,hypothesis,
    val(c137,rom_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_311]) ).

cnf(c_0_9,hypothesis,
    sub(c137,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_311]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ attr(X1,c137)
    | ~ scar(X2,X3)
    | ~ loc(X2,X4)
    | ~ subs(X2,stehen_1_1)
    | ~ sub(X1,stadt__1_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_11,hypothesis,
    attr(c136,c137),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_311]) ).

cnf(c_0_12,hypothesis,
    sub(c136,stadt__1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_311]) ).

fof(c_0_13,plain,
    ! [X462,X463] :
      ( ( loc(esk12_2(X462,X463),X463)
        | ~ loc(X462,X463) )
      & ( scar(esk12_2(X462,X463),X462)
        | ~ loc(X462,X463) )
      & ( subs(esk12_2(X462,X463),stehen_1_1)
        | ~ loc(X462,X463) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[loc__stehen_1_1_loc])])])]) ).

cnf(c_0_14,hypothesis,
    ( ~ scar(X1,X2)
    | ~ loc(X1,X3)
    | ~ subs(X1,stehen_1_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_15,plain,
    ( subs(esk12_2(X1,X2),stehen_1_1)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,hypothesis,
    ( ~ scar(esk12_2(X1,X2),X3)
    | ~ loc(esk12_2(X1,X2),X4)
    | ~ loc(X1,X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,plain,
    ( scar(esk12_2(X1,X2),X1)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,hypothesis,
    ( ~ loc(esk12_2(X1,X2),X3)
    | ~ loc(X1,X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,plain,
    ( loc(esk12_2(X1,X2),X2)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_20,plain,
    ! [X445,X446,X447] :
      ( ( in(esk9_3(X445,X446,X447),esk7_3(X445,X446,X447))
        | ~ prop(X445,X446)
        | ~ state_adjective_state_binding(X446,X447) )
      & ( attr(esk7_3(X445,X446,X447),esk8_3(X445,X446,X447))
        | ~ prop(X445,X446)
        | ~ state_adjective_state_binding(X446,X447) )
      & ( loc(X445,esk9_3(X445,X446,X447))
        | ~ prop(X445,X446)
        | ~ state_adjective_state_binding(X446,X447) )
      & ( sub(esk7_3(X445,X446,X447),land_1_1)
        | ~ prop(X445,X446)
        | ~ state_adjective_state_binding(X446,X447) )
      & ( sub(esk8_3(X445,X446,X447),name_1_1)
        | ~ prop(X445,X446)
        | ~ state_adjective_state_binding(X446,X447) )
      & ( val(esk8_3(X445,X446,X447),X447)
        | ~ prop(X445,X446)
        | ~ state_adjective_state_binding(X446,X447) ) ),
    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_21,hypothesis,
    ~ loc(X1,X2),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,plain,
    ( loc(X1,esk9_3(X1,X2,X3))
    | ~ prop(X1,X2)
    | ~ state_adjective_state_binding(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_23,hypothesis,
    ( ~ state_adjective_state_binding(X1,X2)
    | ~ prop(X3,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_24,plain,
    state_adjective_state_binding(italienisch__1_1,italien_0),
    inference(split_conjunct,[status(thm)],[fact_8886]) ).

cnf(c_0_25,hypothesis,
    prop(c123,italienisch__1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_004_mira_wp_311]) ).

cnf(c_0_26,hypothesis,
    ~ prop(X1,italienisch__1_1),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_25,c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR114+13 : 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
% 0.15/0.33  % Computer : n020.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Mon May  4 17:04:34 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.75/2.04  % Version  : CSE_E---1.7
% 1.75/2.04  % Problem  : theBenchmark.p
% 1.75/2.04  % SZS status Theorem for theBenchmark.p
% 1.75/2.04  % SZS output start CNFRefutation
% See solution above
% 1.75/2.04  % Total time : 1.663s
%------------------------------------------------------------------------------