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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR113+28 : 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 : n006.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 04:15:27 PM UTC 2026

% Result   : Theorem 1.85s 2.10s
% Output   : CNFRefutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   6 unt;   0 def)
%            Number of atoms       :  231 (   0 equ)
%            Maximal formula atoms :  148 (   9 avg)
%            Number of connectives :  252 (  46   ~;  39   |; 165   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  148 (  11 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   1 prp; 0-3 aty)
%            Number of functors    :   52 (  52 usr;  51 con; 0-2 aty)
%            Number of variables   :   57 (   7 sgn  13   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_003_qapn_31_a19713,conjecture,
    ? [X1,X2,X3,X4,X5] :
      ( flp(X1,X3)
      & loc(X4,X1)
      & scar(X4,X5)
      & sub(X2,name_1_1)
      & sub(X5,freiheitsstatue_1_1)
      & subs(X4,stehen_1_1)
      & val(X2,new_york_0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_003_qapn_31_a19713) ).

fof(ave07_era5_synth_qa07_003_qapn_31_a19713,hypothesis,
    ( arg1(c23,c4)
    & arg2(c23,c56)
    & assoc(c23,c39)
    & subr(c23,prop_0)
    & quant_p3(c39,c25,meter_1_1)
    & prop(c4,c56)
    & sub(c4,figur_1_1)
    & loc(c44,c58)
    & sub(c44,freiheitsstatue_1_1)
    & sub(c49,bootshafen_1_1)
    & attch(c54,c49)
    & attr(c54,c55)
    & sub(c54,stadt__1_1)
    & sub(c55,name_1_1)
    & val(c55,new_york_0)
    & comp(c56,klein_1_1,c44)
    & in(c58,c49)
    & assoc(freiheitsstatue_1_1,freiheit_1_1)
    & sub(freiheitsstatue_1_1,statue_1_1)
    & sort(c23,st)
    & fact(c23,real)
    & gener(c23,sp)
    & sort(c4,d)
    & card(c4,int1)
    & etype(c4,int0)
    & fact(c4,real)
    & gener(c4,sp)
    & quant(c4,one)
    & refer(c4,det)
    & varia(c4,con)
    & sort(c56,tq)
    & sort(c39,co)
    & sort(c39,m)
    & card(c39,card_c)
    & etype(c39,etype_c)
    & fact(c39,real)
    & gener(c39,gener_c)
    & quant(c39,quant_c)
    & refer(c39,refer_c)
    & varia(c39,con)
    & sort(prop_0,st)
    & fact(prop_0,real)
    & gener(prop_0,gener_c)
    & sort(c25,nu)
    & card(c25,int5)
    & sort(meter_1_1,me)
    & gener(meter_1_1,ge)
    & sort(figur_1_1,d)
    & card(figur_1_1,int1)
    & etype(figur_1_1,int0)
    & fact(figur_1_1,real)
    & gener(figur_1_1,ge)
    & quant(figur_1_1,one)
    & refer(figur_1_1,refer_c)
    & varia(figur_1_1,varia_c)
    & sort(c44,d)
    & card(c44,int1)
    & etype(c44,int0)
    & fact(c44,real)
    & gener(c44,sp)
    & quant(c44,one)
    & refer(c44,det)
    & varia(c44,con)
    & sort(c58,l)
    & card(c58,int1)
    & etype(c58,int0)
    & fact(c58,real)
    & gener(c58,sp)
    & quant(c58,one)
    & refer(c58,det)
    & varia(c58,con)
    & sort(freiheitsstatue_1_1,d)
    & card(freiheitsstatue_1_1,int1)
    & etype(freiheitsstatue_1_1,int0)
    & fact(freiheitsstatue_1_1,real)
    & gener(freiheitsstatue_1_1,ge)
    & quant(freiheitsstatue_1_1,one)
    & refer(freiheitsstatue_1_1,refer_c)
    & varia(freiheitsstatue_1_1,varia_c)
    & sort(c49,d)
    & card(c49,int1)
    & etype(c49,int0)
    & fact(c49,real)
    & gener(c49,sp)
    & quant(c49,one)
    & refer(c49,det)
    & varia(c49,con)
    & sort(bootshafen_1_1,d)
    & card(bootshafen_1_1,int1)
    & etype(bootshafen_1_1,int0)
    & fact(bootshafen_1_1,real)
    & gener(bootshafen_1_1,ge)
    & quant(bootshafen_1_1,one)
    & refer(bootshafen_1_1,refer_c)
    & varia(bootshafen_1_1,varia_c)
    & sort(c54,d)
    & sort(c54,io)
    & card(c54,int1)
    & etype(c54,int0)
    & fact(c54,real)
    & gener(c54,sp)
    & quant(c54,one)
    & refer(c54,det)
    & varia(c54,con)
    & sort(c55,na)
    & card(c55,int1)
    & etype(c55,int0)
    & fact(c55,real)
    & gener(c55,sp)
    & quant(c55,one)
    & refer(c55,indet)
    & varia(c55,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(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(new_york_0,fe)
    & sort(klein_1_1,mq)
    & sort(freiheit_1_1,as)
    & sort(freiheit_1_1,io)
    & card(freiheit_1_1,int1)
    & etype(freiheit_1_1,int0)
    & fact(freiheit_1_1,real)
    & gener(freiheit_1_1,ge)
    & quant(freiheit_1_1,one)
    & refer(freiheit_1_1,refer_c)
    & varia(freiheit_1_1,varia_c)
    & sort(statue_1_1,d)
    & card(statue_1_1,int1)
    & etype(statue_1_1,int0)
    & fact(statue_1_1,real)
    & gener(statue_1_1,ge)
    & quant(statue_1_1,one)
    & refer(statue_1_1,refer_c)
    & varia(statue_1_1,varia_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_003_qapn_31_a19713) ).

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(local_function___flp,axiom,
    ! [X1,X2] :
      ( ( in(X1,X2)
        | an(X1,X2)
        | bei(X1,X2) )
     => flp(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',local_function___flp) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5] :
        ( flp(X1,X3)
        & loc(X4,X1)
        & scar(X4,X5)
        & sub(X2,name_1_1)
        & sub(X5,freiheitsstatue_1_1)
        & subs(X4,stehen_1_1)
        & val(X2,new_york_0) ),
    inference(assume_negation,[status(cth)],[synth_qa07_003_qapn_31_a19713]) ).

fof(c_0_5,negated_conjecture,
    ! [X415,X416,X417,X418,X419] :
      ( ~ flp(X415,X417)
      | ~ loc(X418,X415)
      | ~ scar(X418,X419)
      | ~ sub(X416,name_1_1)
      | ~ sub(X419,freiheitsstatue_1_1)
      | ~ subs(X418,stehen_1_1)
      | ~ val(X416,new_york_0) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ flp(X1,X2)
    | ~ loc(X3,X1)
    | ~ scar(X3,X4)
    | ~ sub(X5,name_1_1)
    | ~ sub(X4,freiheitsstatue_1_1)
    | ~ subs(X3,stehen_1_1)
    | ~ val(X5,new_york_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_7,hypothesis,
    val(c55,new_york_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).

cnf(c_0_8,hypothesis,
    sub(c55,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).

fof(c_0_9,plain,
    ! [X461,X462] :
      ( ( loc(esk12_2(X461,X462),X462)
        | ~ loc(X461,X462) )
      & ( scar(esk12_2(X461,X462),X461)
        | ~ loc(X461,X462) )
      & ( subs(esk12_2(X461,X462),stehen_1_1)
        | ~ loc(X461,X462) ) ),
    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_10,negated_conjecture,
    ( ~ flp(X1,X2)
    | ~ scar(X3,X4)
    | ~ loc(X3,X1)
    | ~ subs(X3,stehen_1_1)
    | ~ sub(X4,freiheitsstatue_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_11,plain,
    ( subs(esk12_2(X1,X2),stehen_1_1)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ flp(X1,X2)
    | ~ scar(esk12_2(X3,X4),X5)
    | ~ loc(esk12_2(X3,X4),X1)
    | ~ loc(X3,X4)
    | ~ sub(X5,freiheitsstatue_1_1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,plain,
    ( scar(esk12_2(X1,X2),X1)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ flp(X1,X2)
    | ~ loc(esk12_2(X3,X4),X1)
    | ~ loc(X3,X4)
    | ~ sub(X3,freiheitsstatue_1_1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,plain,
    ( loc(esk12_2(X1,X2),X2)
    | ~ loc(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ flp(X1,X2)
    | ~ loc(X3,X1)
    | ~ sub(X3,freiheitsstatue_1_1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,hypothesis,
    sub(c44,freiheitsstatue_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).

fof(c_0_18,plain,
    ! [X491,X492] :
      ( ( ~ in(X491,X492)
        | flp(X491,X492) )
      & ( ~ an(X491,X492)
        | flp(X491,X492) )
      & ( ~ bei(X491,X492)
        | flp(X491,X492) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[local_function___flp])])]) ).

cnf(c_0_19,hypothesis,
    ( ~ flp(X1,X2)
    | ~ loc(c44,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    ( flp(X1,X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,hypothesis,
    ( ~ in(X1,X2)
    | ~ loc(c44,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,hypothesis,
    in(c58,c49),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).

cnf(c_0_23,hypothesis,
    loc(c44,c58),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_003_qapn_31_a19713]) ).

cnf(c_0_24,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR113+28 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13  % 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
% 0.17/0.34  % Computer : n006.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit   : 300
% 0.17/0.34  % WCLimit    : 300
% 0.17/0.34  % DateTime   : Mon May  4 17:03:31 EDT 2026
% 0.17/0.34  % CPUTime    : 
% 0.17/0.35  % start to proof: theBenchmark
% 1.85/2.10  % Version  : CSE_E---1.7
% 1.85/2.10  % Problem  : theBenchmark.p
% 1.85/2.10  % SZS status Theorem for theBenchmark.p
% 1.85/2.10  % SZS output start CNFRefutation
% See solution above
% 1.85/2.10  % Total time : 1.716s
%------------------------------------------------------------------------------