↑ Up

hopCoP---0.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : CSR116+11 : TPTP v9.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n031.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 : Thu Jul 24 11:19:46 AM UTC 2025

% Result   : Theorem 4.89s 1.08s
% Output   : CNFRefutation 4.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   55 (  32 unt;   0 def)
%            Number of atoms       :  265 (   0 equ)
%            Maximal formula atoms :  117 (   4 avg)
%            Number of connectives :  264 (  54   ~;  51   |; 156   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  117 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   26 (  25 usr;   1 prp; 0-3 aty)
%            Number of functors    :   45 (  45 usr;  41 con; 0-3 aty)
%            Number of variables   :   59 (   4 sgn  10   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_010_mira_news_1668,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( pmod(X8,erst_1_1,pr__344sident_1_1)
      & arg1(X3,X0)
      & attr(X0,X1)
      & attr(X0,X2)
      & attr(X5,X6)
      & obj(X7,X0)
      & prop(X4,schwarz_1_1)
      & sub(X1,familiename_1_1)
      & sub(X2,eigenname_1_1)
      & sub(X4,X8)
      & subr(X3,rprs_0)
      & val(X1,mandela_0)
      & val(X2,nelson_0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_010_mira_news_1668) ).

fof(synth_qa07_010_mira_news_1668_negated,plain,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( pmod(X8,erst_1_1,pr__344sident_1_1)
        & arg1(X3,X0)
        & attr(X0,X1)
        & attr(X0,X2)
        & attr(X5,X6)
        & obj(X7,X0)
        & prop(X4,schwarz_1_1)
        & sub(X1,familiename_1_1)
        & sub(X2,eigenname_1_1)
        & sub(X4,X8)
        & subr(X3,rprs_0)
        & val(X1,mandela_0)
        & val(X2,nelson_0) ),
    inference(negate_conjecture,[status(cth)],[synth_qa07_010_mira_news_1668]) ).

cnf(10360,plain,
    ( ~ sub(X0,familiename_1_1)
    | ~ sub(X1,eigenname_1_1)
    | ~ sub(X2,X3)
    | ~ obj(X4,X5)
    | ~ arg1(X6,X5)
    | ~ attr(X5,X0)
    | ~ attr(X5,X1)
    | ~ attr(X7,X8)
    | ~ subr(X6,rprs_0)
    | ~ prop(X2,schwarz_1_1)
    | ~ val(X0,mandela_0)
    | ~ val(X1,nelson_0)
    | ~ pmod(X3,erst_1_1,pr__344sident_1_1) ),
    inference(cnf,[status(esa)],[synth_qa07_010_mira_news_1668_negated]) ).

cnf(l0,plain,
    ( ~ sub(c7,familiename_1_1)
    | ~ sub(c6,eigenname_1_1)
    | ~ sub(c90,c92)
    | ~ obj(sK52(c6,eigenname_1_1,c5),c5)
    | ~ arg1(sK56(sK58(c5,mensch_1_1),c5,mensch_1_1),c5)
    | ~ attr(c5,c7)
    | ~ attr(c5,c6)
    | ~ attr(c5,c6)
    | ~ subr(sK56(sK58(c5,mensch_1_1),c5,mensch_1_1),rprs_0)
    | ~ prop(c90,schwarz_1_1)
    | ~ val(c7,mandela_0)
    | ~ val(c6,nelson_0)
    | ~ pmod(c92,erst_1_1,pr__344sident_1_1) ),
    inference(instantiation,[status(thm)],[10360]) ).

fof(ave07_era5_synth_qa07_010_mira_news_1668,plain,
    ( attr(c5,c6)
    & attr(c5,c7)
    & sub(c5,mensch_1_1)
    & sub(c6,eigenname_1_1)
    & val(c6,nelson_0)
    & sub(c7,familiename_1_1)
    & val(c7,mandela_0)
    & agt(c9,c5)
    & assoc(c9,c5)
    & obj(c9,c90)
    & subs(c9,stellen_1_4)
    & prop(c90,schwarz_1_1)
    & sub(c90,c92)
    & pmod(c92,erst_1_1,pr__344sident_1_1)
    & attch(c98,c90)
    & sub(c98,land_1_1)
    & sort(c5,d)
    & card(c5,int1)
    & etype(c5,int0)
    & fact(c5,real)
    & gener(c5,sp)
    & quant(c5,one)
    & refer(c5,det)
    & varia(c5,con)
    & sort(c6,na)
    & card(c6,int1)
    & etype(c6,int0)
    & fact(c6,real)
    & gener(c6,sp)
    & quant(c6,one)
    & refer(c6,indet)
    & varia(c6,varia_c)
    & sort(c7,na)
    & card(c7,int1)
    & etype(c7,int0)
    & fact(c7,real)
    & gener(c7,sp)
    & quant(c7,one)
    & refer(c7,indet)
    & varia(c7,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(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(nelson_0,fe)
    & 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(mandela_0,fe)
    & sort(c9,da)
    & fact(c9,real)
    & gener(c9,sp)
    & sort(c90,d)
    & card(c90,int1)
    & etype(c90,int0)
    & fact(c90,real)
    & gener(c90,sp)
    & quant(c90,one)
    & refer(c90,det)
    & varia(c90,con)
    & sort(stellen_1_4,da)
    & fact(stellen_1_4,real)
    & gener(stellen_1_4,ge)
    & sort(schwarz_1_1,tq)
    & sort(c92,d)
    & card(c92,int1)
    & etype(c92,int0)
    & fact(c92,real)
    & gener(c92,ge)
    & quant(c92,one)
    & refer(c92,refer_c)
    & varia(c92,varia_c)
    & sort(erst_1_1,oq)
    & card(erst_1_1,int1)
    & sort(pr__344sident_1_1,d)
    & card(pr__344sident_1_1,int1)
    & etype(pr__344sident_1_1,int0)
    & fact(pr__344sident_1_1,real)
    & gener(pr__344sident_1_1,ge)
    & quant(pr__344sident_1_1,one)
    & refer(pr__344sident_1_1,refer_c)
    & varia(pr__344sident_1_1,varia_c)
    & sort(c98,d)
    & sort(c98,io)
    & card(c98,int1)
    & etype(c98,int0)
    & fact(c98,real)
    & gener(c98,sp)
    & quant(c98,one)
    & refer(c98,det)
    & varia(c98,con)
    & sort(land_1_1,d)
    & sort(land_1_1,io)
    & card(land_1_1,int1)
    & etype(land_1_1,int0)
    & fact(land_1_1,real)
    & gener(land_1_1,ge)
    & quant(land_1_1,one)
    & refer(land_1_1,refer_c)
    & varia(land_1_1,varia_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1668) ).

cnf(10361,plain,
    attr(c5,c6),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(l33,plain,
    attr(c5,c6),
    inference(instantiation,[status(thm)],[10361]) ).

cnf(10372,plain,
    prop(c90,schwarz_1_1),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(l24,plain,
    prop(c90,schwarz_1_1),
    inference(instantiation,[status(thm)],[10372]) ).

cnf(l10,plain,
    attr(c5,c6),
    inference(instantiation,[status(thm)],[10361]) ).

fof(sub__bezeichnen_1_1_als,plain,
    ! [X0,X1,X2] :
      ( ( arg1(X0,X1)
        & arg2(X0,X2)
        & subr(X0,sub_0) )
     => ? [X3,X4,X5] :
          ( arg1(X4,X1)
          & arg2(X4,X5)
          & hsit(X0,X3)
          & mcont(X3,X4)
          & obj(X3,X1)
          & sub(X5,X2)
          & subr(X4,rprs_0)
          & subs(X3,bezeichnen_1_1) ) ),
    file('Axioms/CSR004+0.ax',sub__bezeichnen_1_1_als) ).

cnf(306,plain,
    ( ~ arg1(X0,X1)
    | ~ arg2(X0,X2)
    | ~ subr(X0,sub_0)
    | subr(sK56(X0,X1,X2),rprs_0) ),
    inference(cnf,[status(esa)],[sub__bezeichnen_1_1_als]) ).

cnf(l21,plain,
    ( ~ arg1(sK58(c5,mensch_1_1),c5)
    | ~ arg2(sK58(c5,mensch_1_1),mensch_1_1)
    | ~ subr(sK58(c5,mensch_1_1),sub_0)
    | subr(sK56(sK58(c5,mensch_1_1),c5,mensch_1_1),rprs_0) ),
    inference(instantiation,[status(thm)],[306]) ).

cnf(10367,plain,
    val(c7,mandela_0),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(l22,plain,
    val(c7,mandela_0),
    inference(instantiation,[status(thm)],[10367]) ).

cnf(300,plain,
    ( ~ arg1(X0,X1)
    | ~ arg2(X0,X2)
    | ~ subr(X0,sub_0)
    | arg1(sK56(X0,X1,X2),X1) ),
    inference(cnf,[status(esa)],[sub__bezeichnen_1_1_als]) ).

cnf(l1,plain,
    ( ~ arg1(sK58(c5,mensch_1_1),c5)
    | ~ arg2(sK58(c5,mensch_1_1),mensch_1_1)
    | ~ subr(sK58(c5,mensch_1_1),sub_0)
    | arg1(sK56(sK58(c5,mensch_1_1),c5,mensch_1_1),c5) ),
    inference(instantiation,[status(thm)],[300]) ).

cnf(10365,plain,
    val(c6,nelson_0),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(l18,plain,
    val(c6,nelson_0),
    inference(instantiation,[status(thm)],[10365]) ).

fof(sub__sub_0_expansion,plain,
    ! [X0,X1] :
      ( sub(X0,X1)
     => ? [X2] :
          ( arg1(X2,X0)
          & arg2(X2,X1)
          & subr(X2,sub_0) ) ),
    file('Axioms/CSR004+0.ax',sub__sub_0_expansion) ).

cnf(309,plain,
    ( ~ sub(X0,X1)
    | arg2(sK58(X0,X1),X1) ),
    inference(cnf,[status(esa)],[sub__sub_0_expansion]) ).

cnf(l26,plain,
    ( ~ sub(c5,mensch_1_1)
    | arg2(sK58(c5,mensch_1_1),mensch_1_1) ),
    inference(instantiation,[status(thm)],[309]) ).

cnf(308,plain,
    ( ~ sub(X0,X1)
    | arg1(sK58(X0,X1),X0) ),
    inference(cnf,[status(esa)],[sub__sub_0_expansion]) ).

cnf(l14,plain,
    ( ~ sub(c5,mensch_1_1)
    | arg1(sK58(c5,mensch_1_1),c5) ),
    inference(instantiation,[status(thm)],[308]) ).

cnf(10366,plain,
    sub(c7,familiename_1_1),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(l2,plain,
    sub(c7,familiename_1_1),
    inference(instantiation,[status(thm)],[10366]) ).

cnf(310,plain,
    ( ~ sub(X0,X1)
    | subr(sK58(X0,X1),sub_0) ),
    inference(cnf,[status(esa)],[sub__sub_0_expansion]) ).

cnf(l27,plain,
    ( ~ sub(c5,mensch_1_1)
    | subr(sK58(c5,mensch_1_1),sub_0) ),
    inference(instantiation,[status(thm)],[310]) ).

cnf(10363,plain,
    sub(c5,mensch_1_1),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(l197,plain,
    sub(c5,mensch_1_1),
    inference(instantiation,[status(thm)],[10363]) ).

cnf(10374,plain,
    pmod(c92,erst_1_1,pr__344sident_1_1),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(l31,plain,
    pmod(c92,erst_1_1,pr__344sident_1_1),
    inference(instantiation,[status(thm)],[10374]) ).

cnf(l12,plain,
    ( ~ sub(c5,mensch_1_1)
    | arg2(sK58(c5,mensch_1_1),mensch_1_1) ),
    inference(instantiation,[status(thm)],[309]) ).

cnf(l41,plain,
    ( ~ sub(c5,mensch_1_1)
    | arg1(sK58(c5,mensch_1_1),c5) ),
    inference(instantiation,[status(thm)],[308]) ).

cnf(l71,plain,
    sub(c5,mensch_1_1),
    inference(instantiation,[status(thm)],[10363]) ).

cnf(l92,plain,
    sub(c5,mensch_1_1),
    inference(instantiation,[status(thm)],[10363]) ).

cnf(10362,plain,
    attr(c5,c7),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(l40,plain,
    attr(c5,c7),
    inference(instantiation,[status(thm)],[10362]) ).

cnf(l11,plain,
    ( ~ sub(c5,mensch_1_1)
    | subr(sK58(c5,mensch_1_1),sub_0) ),
    inference(instantiation,[status(thm)],[310]) ).

cnf(10373,plain,
    sub(c90,c92),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(l3,plain,
    sub(c90,c92),
    inference(instantiation,[status(thm)],[10373]) ).

cnf(10364,plain,
    sub(c6,eigenname_1_1),
    inference(cnf,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(l55,plain,
    sub(c6,eigenname_1_1),
    inference(instantiation,[status(thm)],[10364]) ).

cnf(l99,plain,
    sub(c5,mensch_1_1),
    inference(instantiation,[status(thm)],[10363]) ).

cnf(l15,plain,
    sub(c5,mensch_1_1),
    inference(instantiation,[status(thm)],[10363]) ).

cnf(l43,plain,
    sub(c5,mensch_1_1),
    inference(instantiation,[status(thm)],[10363]) ).

fof(attr_name__abk__374rzung_stehen_1_b_f__374r,plain,
    ! [X0,X1,X2] :
      ( ( attr(X2,X0)
        & member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        & sub(X0,X1) )
     => ? [X3] :
          ( mcont(X3,X2)
          & obj(X3,X2)
          & scar(X3,X2)
          & subs(X3,stehen_1_b) ) ),
    file('Axioms/CSR004+0.ax',attr_name__abk__374rzung_stehen_1_b_f__374r) ).

cnf(290,plain,
    ( ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(X1,X0)
    | ~ attr(X2,X1)
    | obj(sK52(X1,X0,X2),X2) ),
    inference(cnf,[status(esa)],[attr_name__abk__374rzung_stehen_1_b_f__374r]) ).

cnf(l17,plain,
    ( ~ member(eigenname_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(c6,eigenname_1_1)
    | ~ attr(c5,c6)
    | obj(sK52(c6,eigenname_1_1,c5),c5) ),
    inference(instantiation,[status(thm)],[290]) ).

cnf(l70,plain,
    attr(c5,c6),
    inference(instantiation,[status(thm)],[10361]) ).

cnf(l49,plain,
    sub(c6,eigenname_1_1),
    inference(instantiation,[status(thm)],[10364]) ).

fof(member_first,plain,
    ! [X0,X1] : member(X0,cons(X0,X1)),
    file('Axioms/CSR004+0.ax',member_first) ).

cnf(0,plain,
    member(X0,cons(X0,X1)),
    inference(cnf,[status(esa)],[member_first]) ).

cnf(l53,plain,
    member(eigenname_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))),
    inference(instantiation,[status(thm)],[0]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l33,l24,l10,l21,l22,l1,l18,l26,l14,l2,l27,l197,l31,l12,l41,l71,l92,l40,l11,l3,l55,l99,l15,l43,l17,l70,l49,l53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR116+11 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n031.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Jul 20 08:22:34 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  % launching worker at depth: 2
% 0.20/0.48  % launching worker at depth: 3
% 0.20/0.48  % launching worker at depth: 1
% 0.20/0.48  % launching worker at depth: 4
% 0.20/0.48  % launching worker at depth: 5
% 0.20/0.48  % launching worker at depth: 6
% 0.20/0.48  % launching worker at depth: 7
% 0.20/0.48  % launching worker at depth: 8
% 0.20/0.48  % launching worker at depth: 9
% 0.20/0.49  % launching worker at depth: 10
% 4.89/1.08  % SZS status Theorem for theBenchmark
% 4.89/1.08  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------