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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR114+24 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:04:37 AM UTC 2026

% Result   : Theorem 99.72s 23.18s
% Output   : CNFRefutation 99.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  11 unt;   0 def)
%            Number of atoms       :  339 (   0 equ)
%            Maximal formula atoms :  276 (  13 avg)
%            Number of connectives :  342 (  29   ~;  23   |; 288   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  276 (  14 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   1 prp; 0-13 aty)
%            Number of functors    :   67 (  67 usr;  65 con; 0-2 aty)
%            Number of variables   :   41 (   4 sgn   8   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_004_qapw_68_a281,hypothesis,
    ( varia('staette$u1$u1','varia$uc')
    & refer('staette$u1$u1','refer$uc')
    & quant('staette$u1$u1',one)
    & gener('staette$u1$u1',ge)
    & fact('staette$u1$u1',real)
    & etype('staette$u1$u1',int0)
    & card('staette$u1$u1',int1)
    & sort('staette$u1$u1',d)
    & varia('sport$u$u1$u1','varia$uc')
    & refer('sport$u$u1$u1','refer$uc')
    & quant('sport$u$u1$u1',one)
    & gener('sport$u$u1$u1',ge)
    & fact('sport$u$u1$u1',real)
    & etype('sport$u$u1$u1',int0)
    & card('sport$u$u1$u1',int1)
    & sort('sport$u$u1$u1',ad)
    & varia('gefecht$u1$u1','varia$uc')
    & refer('gefecht$u1$u1','refer$uc')
    & quant('gefecht$u1$u1',one)
    & gener('gefecht$u1$u1',ge)
    & fact('gefecht$u1$u1',real)
    & etype('gefecht$u1$u1',int0)
    & card('gefecht$u1$u1',int1)
    & sort('gefecht$u1$u1',ad)
    & varia(c49957,'varia$uc')
    & refer(c49957,det)
    & quant(c49957,one)
    & gener(c49957,sp)
    & fact(c49957,real)
    & etype(c49957,int0)
    & card(c49957,int1)
    & sort(c49957,o)
    & varia(c50158,'varia$uc')
    & refer(c50158,'refer$uc')
    & quant(c50158,'quant$uc')
    & gener(c50158,'gener$uc')
    & fact(c50158,real)
    & etype(c50158,'etype$uc')
    & card(c50158,'card$uc')
    & sort(c50158,ent)
    & varia('einander$u1$u1','varia$uc')
    & refer('einander$u1$u1','refer$uc')
    & quant('einander$u1$u1',mult)
    & gener('einander$u1$u1','gener$uc')
    & fact('einander$u1$u1',real)
    & etype('einander$u1$u1',int1)
    & card('einander$u1$u1',cons('x$uconstant',cons(int1,nil)))
    & sort('einander$u1$u1',o)
    & varia(c49977,'varia$uc')
    & refer(c49977,'refer$uc')
    & quant(c49977,mult)
    & gener(c49977,'gener$uc')
    & fact(c49977,real)
    & etype(c49977,int1)
    & card(c49977,cons('x$uconstant',cons(int1,nil)))
    & sort(c49977,o)
    & varia('gladiator$u1$u1','varia$uc')
    & refer('gladiator$u1$u1','refer$uc')
    & quant('gladiator$u1$u1',one)
    & gener('gladiator$u1$u1',ge)
    & fact('gladiator$u1$u1',real)
    & etype('gladiator$u1$u1',int0)
    & card('gladiator$u1$u1',int1)
    & sort('gladiator$u1$u1',d)
    & varia(c49974,'varia$uc')
    & refer(c49974,indet)
    & quant(c49974,mult)
    & gener(c49974,'gener$uc')
    & fact(c49974,real)
    & etype(c49974,int1)
    & card(c49974,cons('x$uconstant',cons(int1,nil)))
    & sort(c49974,d)
    & varia(c49955,'varia$uc')
    & refer(c49955,indet)
    & quant(c49955,one)
    & gener(c49955,sp)
    & fact(c49955,real)
    & etype(c49955,int0)
    & card(c49955,int1)
    & sort(c49955,na)
    & varia(c49954,con)
    & refer(c49954,det)
    & quant(c49954,one)
    & gener(c49954,sp)
    & fact(c49954,real)
    & etype(c49954,int0)
    & card(c49954,int1)
    & sort(c49954,io)
    & sort(c49954,d)
    & varia('kolosseum$u1$u1',con)
    & refer('kolosseum$u1$u1',det)
    & quant('kolosseum$u1$u1',one)
    & gener('kolosseum$u1$u1',sp)
    & fact('kolosseum$u1$u1',real)
    & etype('kolosseum$u1$u1',int0)
    & card('kolosseum$u1$u1',int1)
    & sort('kolosseum$u1$u1',d)
    & varia(c49948,con)
    & refer(c49948,det)
    & quant(c49948,one)
    & gener(c49948,sp)
    & fact(c49948,real)
    & etype(c49948,int0)
    & card(c49948,int1)
    & sort(c49948,d)
    & varia('gladiatorenkampf$u1$u1','varia$uc')
    & refer('gladiatorenkampf$u1$u1','refer$uc')
    & quant('gladiatorenkampf$u1$u1',one)
    & gener('gladiatorenkampf$u1$u1',ge)
    & fact('gladiatorenkampf$u1$u1',real)
    & etype('gladiatorenkampf$u1$u1',int0)
    & card('gladiatorenkampf$u1$u1',int1)
    & sort('gladiatorenkampf$u1$u1',ad)
    & varia(c49933,'varia$uc')
    & refer(c49933,indet)
    & quant(c49933,mult)
    & gener(c49933,'gener$uc')
    & fact(c49933,real)
    & etype(c49933,int1)
    & card(c49933,cons('x$uconstant',cons(int1,nil)))
    & sort(c49933,ad)
    & varia('wagenrennen$u1$u1','varia$uc')
    & refer('wagenrennen$u1$u1','refer$uc')
    & quant('wagenrennen$u1$u1',one)
    & gener('wagenrennen$u1$u1',ge)
    & fact('wagenrennen$u1$u1',real)
    & etype('wagenrennen$u1$u1',int0)
    & card('wagenrennen$u1$u1',int1)
    & sort('wagenrennen$u1$u1',o)
    & varia(c49930,'varia$uc')
    & refer(c49930,indet)
    & quant(c49930,mult)
    & gener(c49930,'gener$uc')
    & fact(c49930,real)
    & etype(c49930,int1)
    & card(c49930,cons('x$uconstant',cons(int1,nil)))
    & sort(c49930,o)
    & sort('rom$u0',fe)
    & varia('name$u1$u1','varia$uc')
    & refer('name$u1$u1','refer$uc')
    & quant('name$u1$u1',one)
    & gener('name$u1$u1',ge)
    & fact('name$u1$u1',real)
    & etype('name$u1$u1',int0)
    & card('name$u1$u1',int1)
    & sort('name$u1$u1',na)
    & varia('stadt$u$u1$u1','varia$uc')
    & refer('stadt$u$u1$u1','refer$uc')
    & quant('stadt$u$u1$u1',one)
    & gener('stadt$u$u1$u1',ge)
    & fact('stadt$u$u1$u1',real)
    & etype('stadt$u$u1$u1',int0)
    & card('stadt$u$u1$u1',int1)
    & sort('stadt$u$u1$u1',io)
    & sort('stadt$u$u1$u1',d)
    & varia(c49926,'varia$uc')
    & refer(c49926,indet)
    & quant(c49926,one)
    & gener(c49926,sp)
    & fact(c49926,real)
    & etype(c49926,int0)
    & card(c49926,int1)
    & sort(c49926,na)
    & varia(c49925,con)
    & refer(c49925,det)
    & quant(c49925,one)
    & gener(c49925,sp)
    & fact(c49925,real)
    & etype(c49925,int0)
    & card(c49925,int1)
    & sort(c49925,io)
    & sort(c49925,d)
    & varia('maximus$u1$u1','varia$uc')
    & refer('maximus$u1$u1','refer$uc')
    & quant('maximus$u1$u1',one)
    & gener('maximus$u1$u1',ge)
    & fact('maximus$u1$u1',real)
    & etype('maximus$u1$u1',int0)
    & card('maximus$u1$u1',int1)
    & sort('maximus$u1$u1',o)
    & varia(c49918,'varia$uc')
    & refer(c49918,'refer$uc')
    & quant(c49918,one)
    & gener(c49918,'gener$uc')
    & fact(c49918,real)
    & etype(c49918,int0)
    & card(c49918,int1)
    & sort(c49918,o)
    & varia('circus$u1$u1','varia$uc')
    & refer('circus$u1$u1','refer$uc')
    & quant('circus$u1$u1',one)
    & gener('circus$u1$u1',ge)
    & fact('circus$u1$u1',real)
    & etype('circus$u1$u1',int0)
    & card('circus$u1$u1',int1)
    & sort('circus$u1$u1',o)
    & varia(c49915,con)
    & refer(c49915,det)
    & quant(c49915,one)
    & gener(c49915,sp)
    & fact(c49915,real)
    & etype(c49915,int0)
    & card(c49915,int1)
    & sort(c49915,o)
    & varia('reich$u1$u1','varia$uc')
    & refer('reich$u1$u1','refer$uc')
    & quant('reich$u1$u1',one)
    & gener('reich$u1$u1',ge)
    & fact('reich$u1$u1',real)
    & etype('reich$u1$u1',int0)
    & card('reich$u1$u1',int1)
    & sort('reich$u1$u1',io)
    & sort('reich$u1$u1',d)
    & sort('r$u$u366misch$u$u1$u1',tq)
    & varia(c49905,con)
    & refer(c49905,det)
    & quant(c49905,one)
    & gener(c49905,sp)
    & fact(c49905,real)
    & etype(c49905,int0)
    & card(c49905,int1)
    & sort(c49905,io)
    & sort(c49905,d)
    & varia(c49903,'varia$uc')
    & refer(c49903,'refer$uc')
    & quant(c49903,'quant$uc')
    & gener(c49903,'gener$uc')
    & fact(c49903,real)
    & etype(c49903,int2)
    & etype(c49903,int1)
    & card(c49903,'card$uc')
    & sort(c49903,o)
    & sort('bekannt$u1$u1',nq)
    & sort(c49902,tq)
    & varia('sportort$u1$u1','varia$uc')
    & refer('sportort$u1$u1','refer$uc')
    & quant('sportort$u1$u1',one)
    & gener('sportort$u1$u1',ge)
    & fact('sportort$u1$u1',real)
    & etype('sportort$u1$u1',int0)
    & card('sportort$u1$u1',int1)
    & sort('sportort$u1$u1',d)
    & varia(c49899,con)
    & refer(c49899,det)
    & quant(c49899,mult)
    & gener(c49899,sp)
    & fact(c49899,real)
    & etype(c49899,int1)
    & card(c49899,cons('x$uconstant',cons(int1,nil)))
    & sort(c49899,d)
    & sub('sportort$u1$u1','staette$u1$u1')
    & assoc('sportort$u1$u1','sport$u$u1$u1')
    & subs('gladiatorenkampf$u1$u1','gefecht$u1$u1')
    & assoc('gladiatorenkampf$u1$u1','gladiator$u1$u1')
    & 'tupl$up13'(c50158,c49899,c49902,c49915,c49918,c49925,c49930,c49933,c49948,c49954,c49957,c49974,c49977)
    & sub(c49977,'einander$u1$u1')
    & pred(c49974,'gladiator$u1$u1')
    & val(c49955,'rom$u0')
    & sub(c49955,'name$u1$u1')
    & sub(c49954,'stadt$u$u1$u1')
    & attr(c49954,c49955)
    & sub(c49948,'kolosseum$u1$u1')
    & preds(c49933,'gladiatorenkampf$u1$u1')
    & pred(c49930,'wagenrennen$u1$u1')
    & val(c49926,'rom$u0')
    & sub(c49926,'name$u1$u1')
    & sub(c49925,'stadt$u$u1$u1')
    & attr(c49925,c49926)
    & sub(c49918,'maximus$u1$u1')
    & sub(c49915,'circus$u1$u1')
    & sub(c49905,'reich$u1$u1')
    & prop(c49905,'r$u$u366misch$u$u1$u1')
    & attch(c49905,c49899)
    & supl(c49902,'bekannt$u1$u1',c49903)
    & prop(c49899,c49902)
    & pred(c49899,'sportort$u1$u1') ) ).

fof(member_first,axiom,
    ! [X0,X1] : member(X0,cons(X0,X1)) ).

fof(member_second,axiom,
    ! [X0,X1,X2] :
      ( member(X0,X2)
     => member(X0,cons(X1,X2)) ) ).

fof(attr_name__abk__374rzung_stehen_1_b_f__374r,axiom,
    ! [X0,X1,X2] :
      ( ( sub(X0,X1)
        & member(X1,cons('eigenname$u1$u1',cons('familiename$u1$u1',cons('name$u1$u1',nil))))
        & attr(X2,X0) )
     => ? [X3] :
          ( subs(X3,'stehen$u1$ub')
          & scar(X3,X2)
          & obj(X3,X2)
          & mcont(X3,X2) ) ) ).

fof(synth_qa07_004_qapw_68_a281,conjecture,
    ? [X0,X1,X2,X3] :
      ( val(X1,'rom$u0')
      & sub(X0,'stadt$u$u1$u1')
      & sub(X1,'name$u1$u1')
      & scar(X3,X2)
      & attr(X0,X1) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0,X1,X2,X3] :
        ( val(X1,'rom$u0')
        & sub(X0,'stadt$u$u1$u1')
        & sub(X1,'name$u1$u1')
        & scar(X3,X2)
        & attr(X0,X1) ),
    inference(negate_conjecture,[status(cth)],[synth_qa07_004_qapw_68_a281]) ).

cnf(c4,plain,
    attr(c49925,c49926),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_004_qapw_68_a281]) ).

cnf(c5,plain,
    sub(c49926,'name$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_004_qapw_68_a281]) ).

cnf(c8,plain,
    sub(c49954,'stadt$u$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_004_qapw_68_a281]) ).

cnf(c9,plain,
    val(c49955,'rom$u0'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_004_qapw_68_a281]) ).

cnf(c267,plain,
    sub(c49955,'name$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_004_qapw_68_a281]) ).

cnf(c268,plain,
    attr(c49954,c49955),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_004_qapw_68_a281]) ).

cnf(c276,plain,
    member(X0,cons(X0,X1)),
    inference(clausification,[status(esa)],[member_first]) ).

cnf(c277,plain,
    ( member(X0,cons(X2,X1))
    | ~ member(X0,X1) ),
    inference(clausification,[status(esa)],[member_second]) ).

cnf(c486,plain,
    ( scar(sK276(X2),X2)
    | ~ attr(X2,X1)
    | ~ sub(X1,X0)
    | ~ member(X0,cons('eigenname$u1$u1',cons('familiename$u1$u1',cons('name$u1$u1',nil)))) ),
    inference(clausification,[status(esa)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).

cnf(c580,plain,
    ( ~ val(X1,'rom$u0')
    | ~ scar(X2,X3)
    | ~ attr(X0,X1)
    | ~ sub(X1,'name$u1$u1')
    | ~ sub(X0,'stadt$u$u1$u1') ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ member(X1,cons('familiename$u1$u1',cons('name$u1$u1',nil)))
    | scar(sK276(X2),X2)
    | ~ attr(X2,X0)
    | ~ sub(X0,X1) ),
    inference(resolution,[status(thm)],[c486,c277]) ).

cnf(d1,plain,
    ( ~ member(X1,cons('name$u1$u1',nil))
    | scar(sK276(X2),X2)
    | ~ attr(X2,X0)
    | ~ sub(X0,X1) ),
    inference(resolution,[status(thm)],[d0,c277]) ).

cnf(d2,plain,
    ( scar(sK276(X1),X1)
    | ~ attr(X1,X0)
    | ~ sub(X0,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d1,c276]) ).

cnf(d3,plain,
    ( scar(sK276(c49925),c49925)
    | ~ sub(c49926,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d2,c4]) ).

cnf(d4,plain,
    scar(sK276(c49925),c49925),
    inference(resolution,[status(thm)],[c5,d3]) ).

cnf(d5,plain,
    ( ~ val(X1,'rom$u0')
    | ~ attr(X0,X1)
    | ~ sub(X1,'name$u1$u1')
    | ~ sub(X0,'stadt$u$u1$u1') ),
    inference(resolution,[status(thm)],[d4,c580]) ).

cnf(d6,plain,
    ( ~ attr(X0,c49955)
    | ~ sub(X0,'stadt$u$u1$u1')
    | ~ sub(c49955,'name$u1$u1') ),
    inference(resolution,[status(thm)],[d5,c9]) ).

cnf(d7,plain,
    ( ~ attr(X0,c49955)
    | ~ sub(X0,'stadt$u$u1$u1') ),
    inference(resolution,[status(thm)],[c267,d6]) ).

cnf(d8,plain,
    ~ sub(c49954,'stadt$u$u1$u1'),
    inference(resolution,[status(thm)],[d7,c268]) ).

cnf(d9,plain,
    $false,
    inference(resolution,[status(thm)],[c8,d8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR114+24 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37  % Computer : n009.cluster.edu
% 0.09/5.37  % Model    : x86_64 x86_64
% 0.09/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37  % Memory   : 8046.5625MB
% 0.09/5.37  % OS       : Linux 6.8.0-71-generic
% 0.09/5.37  % CPULimit : 300
% 0.09/5.37  % WCLimit  : 300
% 0.09/5.37  % DateTime : Sun Sep 27 01:06:04 UTC 2026
% 0.09/5.37  % CPUTime  : 
% 0.09/5.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.72/23.18  % SZS status Theorem for theBenchmark.p
% 99.72/23.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------