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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : CSR116+5 : 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 : n020.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 07:04:56 AM UTC 2026

% Result   : Theorem 107.36s 14.48s
% Output   : CNFRefutation 107.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   40 (  19 unt;   0 def)
%            Number of atoms       :  343 (   0 equ)
%            Maximal formula atoms :  162 (   8 avg)
%            Number of connectives :  430 ( 127   ~; 111   |; 191   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  162 (  10 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   1 prp; 0-3 aty)
%            Number of functors    :   50 (  50 usr;  50 con; 0-0 aty)
%            Number of variables   :   91 (  26 sgn   4   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_010_mira_news_1606_a671,hypothesis,
    ( gener('w$u$u344hlen$u1$u2',ge)
    & fact('w$u$u344hlen$u1$u2',real)
    & sort('w$u$u344hlen$u1$u2',da)
    & varia('land$u1$u1','varia$uc')
    & refer('land$u1$u1','refer$uc')
    & quant('land$u1$u1','quant$uc')
    & gener('land$u1$u1','gener$uc')
    & fact('land$u1$u1',real)
    & etype('land$u1$u1','etype$uc')
    & card('land$u1$u1','card$uc')
    & sort('land$u1$u1',ent)
    & gener('rprs$u0','gener$uc')
    & fact('rprs$u0',real)
    & sort('rprs$u0',st)
    & sort('s$u$u374dafrika$u0',fe)
    & varia('name$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$u1',na)
    & varia('republik$u$u1$u1','varia$uc')
    & refer('republik$u$u1$u1','refer$uc')
    & quant('republik$u$u1$u1',one)
    & gener('republik$u$u1$u1',ge)
    & fact('republik$u$u1$u1',real)
    & etype('republik$u$u1$u1',int0)
    & card('republik$u$u1$u1',int1)
    & sort('republik$u$u1$u1',io)
    & sort('republik$u$u1$u1',d)
    & varia(c392,'varia$uc')
    & refer(c392,indet)
    & quant(c392,one)
    & gener(c392,sp)
    & fact(c392,real)
    & etype(c392,int0)
    & card(c392,int1)
    & sort(c392,na)
    & varia(c391,con)
    & refer(c391,det)
    & quant(c391,one)
    & gener(c391,sp)
    & fact(c391,real)
    & etype(c391,int0)
    & card(c391,int1)
    & sort(c391,io)
    & sort(c391,d)
    & sort(c1,tq)
    & sort('amtlich$u1$u1',tq)
    & varia('pr$u$u344sident$u1$u1','varia$uc')
    & refer('pr$u$u344sident$u1$u1','refer$uc')
    & quant('pr$u$u344sident$u1$u1',one)
    & gener('pr$u$u344sident$u1$u1',ge)
    & fact('pr$u$u344sident$u1$u1',real)
    & etype('pr$u$u344sident$u1$u1',int0)
    & card('pr$u$u344sident$u1$u1',int1)
    & sort('pr$u$u344sident$u1$u1',d)
    & sort(c382,tq)
    & varia(c381,con)
    & refer(c381,det)
    & quant(c381,one)
    & gener(c381,sp)
    & fact(c381,real)
    & etype(c381,int0)
    & card(c381,int1)
    & sort(c381,d)
    & sort('mandela$u0',fe)
    & varia('familiename$u1$u1','varia$uc')
    & refer('familiename$u1$u1','refer$uc')
    & quant('familiename$u1$u1',one)
    & gener('familiename$u1$u1',ge)
    & fact('familiename$u1$u1',real)
    & etype('familiename$u1$u1',int0)
    & card('familiename$u1$u1',int1)
    & sort('familiename$u1$u1',na)
    & sort('rolihlahla$u0',fe)
    & sort('nelson$u0',fe)
    & sort(c347,fe)
    & varia('eigenname$u1$u1','varia$uc')
    & refer('eigenname$u1$u1','refer$uc')
    & quant('eigenname$u1$u1',one)
    & gener('eigenname$u1$u1',ge)
    & fact('eigenname$u1$u1',real)
    & etype('eigenname$u1$u1',int0)
    & card('eigenname$u1$u1',int1)
    & sort('eigenname$u1$u1',na)
    & varia('mensch$u1$u1','varia$uc')
    & refer('mensch$u1$u1','refer$uc')
    & quant('mensch$u1$u1',one)
    & gener('mensch$u1$u1',ge)
    & fact('mensch$u1$u1',real)
    & etype('mensch$u1$u1',int0)
    & card('mensch$u1$u1',int1)
    & sort('mensch$u1$u1',d)
    & varia(c348,'varia$uc')
    & refer(c348,indet)
    & quant(c348,one)
    & gener(c348,sp)
    & fact(c348,real)
    & etype(c348,int0)
    & card(c348,int1)
    & sort(c348,na)
    & varia(c346,'varia$uc')
    & refer(c346,indet)
    & quant(c346,one)
    & gener(c346,sp)
    & fact(c346,real)
    & etype(c346,int0)
    & card(c346,int1)
    & sort(c346,na)
    & gener('erkl$u$u344ren$u1$u4',ge)
    & fact('erkl$u$u344ren$u1$u4',real)
    & sort('erkl$u$u344ren$u1$u4',da)
    & gener(c394,sp)
    & fact(c394,real)
    & sort(c394,st)
    & varia(c345,con)
    & refer(c345,det)
    & quant(c345,one)
    & gener(c345,sp)
    & fact(c345,real)
    & etype(c345,int0)
    & card(c345,int1)
    & sort(c345,d)
    & varia(c3,'varia$uc')
    & refer(c3,det)
    & quant(c3,one)
    & gener(c3,sp)
    & fact(c3,real)
    & etype(c3,int0)
    & card(c3,int1)
    & sort(c3,d)
    & gener(c15,sp)
    & fact(c15,real)
    & sort(c15,da)
    & chsp2('w$u$u344hlen$u1$u2',c1)
    & sub('republik$u$u1$u1','land$u1$u1')
    & subr(c394,'rprs$u0')
    & arg2(c394,c381)
    & arg1(c394,c345)
    & val(c392,'s$u$u374dafrika$u0')
    & sub(c392,'name$u1$u1')
    & sub(c391,'republik$u$u1$u1')
    & attr(c391,c392)
    & attch(c391,c381)
    & modp(c382,'amtlich$u1$u1',c1)
    & sub(c381,'pr$u$u344sident$u1$u1')
    & prop(c381,c382)
    & val(c348,'mandela$u0')
    & sub(c348,'familiename$u1$u1')
    & tupl(c347,'nelson$u0','rolihlahla$u0')
    & val(c346,c347)
    & sub(c346,'eigenname$u1$u1')
    & sub(c345,'mensch$u1$u1')
    & attr(c345,c348)
    & attr(c345,c346)
    & subs(c15,'erkl$u$u344ren$u1$u4')
    & rslt(c15,c394)
    & obj(c15,c345)
    & agt(c15,c3) ) ).

fof(drop_first_name_component,axiom,
    ! [X0,X1,X2,X3] :
      ( ( val(X0,X1)
        & sub(X0,'eigenname$u1$u1')
        & tupl(X1,X2,X3) )
     => val(X0,X2) ) ).

fof(synth_qa07_010_mira_news_1606_a671,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( val(X6,'s$u$u374dafrika$u0')
      & val(X2,'nelson$u0')
      & val(X1,'mandela$u0')
      & subr(X3,'rprs$u0')
      & sub(X6,'name$u1$u1')
      & sub(X4,X8)
      & sub(X2,'eigenname$u1$u1')
      & sub(X1,'familiename$u1$u1')
      & rslt(X7,X3)
      & obj(X7,X0)
      & attr(X5,X6)
      & attr(X0,X2)
      & attr(X0,X1)
      & arg2(X3,X4)
      & arg1(X3,X0) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( val(X6,'s$u$u374dafrika$u0')
        & val(X2,'nelson$u0')
        & val(X1,'mandela$u0')
        & subr(X3,'rprs$u0')
        & sub(X6,'name$u1$u1')
        & sub(X4,X8)
        & sub(X2,'eigenname$u1$u1')
        & sub(X1,'familiename$u1$u1')
        & rslt(X7,X3)
        & obj(X7,X0)
        & attr(X5,X6)
        & attr(X0,X2)
        & attr(X0,X1)
        & arg2(X3,X4)
        & arg1(X3,X0) ),
    inference(negate_conjecture,[status(cth)],[synth_qa07_010_mira_news_1606_a671]) ).

cnf(c1,plain,
    obj(c15,c345),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c2,plain,
    rslt(c15,c394),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c4,plain,
    attr(c345,c346),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c5,plain,
    attr(c345,c348),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c7,plain,
    sub(c346,'eigenname$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c8,plain,
    val(c346,c347),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c9,plain,
    tupl(c347,'nelson$u0','rolihlahla$u0'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c10,plain,
    sub(c348,'familiename$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c11,plain,
    val(c348,'mandela$u0'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c13,plain,
    sub(c381,'pr$u$u344sident$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c16,plain,
    attr(c391,c392),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c18,plain,
    sub(c392,'name$u1$u1'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c19,plain,
    val(c392,'s$u$u374dafrika$u0'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c20,plain,
    arg1(c394,c345),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c21,plain,
    arg2(c394,c381),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c22,plain,
    subr(c394,'rprs$u0'),
    inference(clausification,[status(esa)],[ave07_era5_synth_qa07_010_mira_news_1606_a671]) ).

cnf(c249,plain,
    ( val(X3,X1)
    | ~ val(X3,X0)
    | ~ sub(X3,'eigenname$u1$u1')
    | ~ tupl(X0,X1,X2) ),
    inference(clausification,[status(esa)],[drop_first_name_component]) ).

cnf(c287,plain,
    ( ~ rslt(X7,X1)
    | ~ val(X4,'s$u$u374dafrika$u0')
    | ~ attr(X2,X0)
    | ~ arg2(X1,X5)
    | ~ val(X8,'mandela$u0')
    | ~ sub(X8,'familiename$u1$u1')
    | ~ attr(X2,X8)
    | ~ obj(X7,X2)
    | ~ sub(X4,'name$u1$u1')
    | ~ sub(X5,X6)
    | ~ subr(X1,'rprs$u0')
    | ~ attr(X3,X4)
    | ~ sub(X0,'eigenname$u1$u1')
    | ~ arg1(X1,X2)
    | ~ val(X0,'nelson$u0') ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ val(X0,c347)
    | val(X0,'nelson$u0')
    | ~ sub(X0,'eigenname$u1$u1') ),
    inference(resolution,[status(thm)],[c249,c9]) ).

cnf(d1,plain,
    ( val(c346,'nelson$u0')
    | ~ sub(c346,'eigenname$u1$u1') ),
    inference(resolution,[status(thm)],[d0,c8]) ).

cnf(d2,plain,
    val(c346,'nelson$u0'),
    inference(resolution,[status(thm)],[c7,d1]) ).

cnf(d3,plain,
    ( ~ arg2(c394,X6)
    | ~ arg1(c394,X1)
    | ~ val(X3,'s$u$u374dafrika$u0')
    | ~ val(X5,'mandela$u0')
    | ~ val(X4,'nelson$u0')
    | ~ sub(X3,'name$u1$u1')
    | ~ sub(X5,'familiename$u1$u1')
    | ~ sub(X4,'eigenname$u1$u1')
    | ~ sub(X6,X7)
    | ~ attr(X1,X5)
    | ~ attr(X1,X4)
    | ~ attr(X2,X3)
    | ~ rslt(X0,c394)
    | ~ obj(X0,X1) ),
    inference(resolution,[status(thm)],[c287,c22]) ).

cnf(d4,plain,
    ( ~ arg1(c394,X1)
    | ~ val(X3,'s$u$u374dafrika$u0')
    | ~ val(X5,'nelson$u0')
    | ~ val(X4,'mandela$u0')
    | ~ sub(X3,'name$u1$u1')
    | ~ sub(X5,'eigenname$u1$u1')
    | ~ sub(X4,'familiename$u1$u1')
    | ~ sub(c381,X6)
    | ~ attr(X1,X5)
    | ~ attr(X1,X4)
    | ~ attr(X2,X3)
    | ~ rslt(X0,c394)
    | ~ obj(X0,X1) ),
    inference(resolution,[status(thm)],[d3,c21]) ).

cnf(d5,plain,
    ( ~ val(X2,'s$u$u374dafrika$u0')
    | ~ val(X4,'mandela$u0')
    | ~ val(X3,'nelson$u0')
    | ~ sub(c381,X5)
    | ~ sub(X2,'name$u1$u1')
    | ~ sub(X4,'familiename$u1$u1')
    | ~ sub(X3,'eigenname$u1$u1')
    | ~ attr(c345,X4)
    | ~ attr(c345,X3)
    | ~ attr(X1,X2)
    | ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[d4,c20]) ).

cnf(d6,plain,
    ( ~ val(X3,'nelson$u0')
    | ~ val(X2,'mandela$u0')
    | ~ sub(c381,X4)
    | ~ sub(c392,'name$u1$u1')
    | ~ sub(X3,'eigenname$u1$u1')
    | ~ sub(X2,'familiename$u1$u1')
    | ~ attr(c345,X3)
    | ~ attr(c345,X2)
    | ~ attr(X1,c392)
    | ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[d5,c19]) ).

cnf(d7,plain,
    ( ~ val(X3,'mandela$u0')
    | ~ val(X2,'nelson$u0')
    | ~ sub(c381,X4)
    | ~ sub(X3,'familiename$u1$u1')
    | ~ sub(X2,'eigenname$u1$u1')
    | ~ attr(c345,X3)
    | ~ attr(c345,X2)
    | ~ attr(X1,c392)
    | ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[c18,d6]) ).

cnf(d8,plain,
    ( ~ val(X2,'mandela$u0')
    | ~ sub(c381,X3)
    | ~ sub(c346,'eigenname$u1$u1')
    | ~ sub(X2,'familiename$u1$u1')
    | ~ attr(c345,c346)
    | ~ attr(c345,X2)
    | ~ attr(X1,c392)
    | ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[d7,d2]) ).

cnf(d9,plain,
    ( ~ val(X2,'mandela$u0')
    | ~ sub(c381,X3)
    | ~ sub(c346,'eigenname$u1$u1')
    | ~ sub(X2,'familiename$u1$u1')
    | ~ attr(c345,X2)
    | ~ attr(X1,c392)
    | ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[c4,d8]) ).

cnf(d10,plain,
    ( ~ val(X2,'mandela$u0')
    | ~ sub(c381,X3)
    | ~ sub(X2,'familiename$u1$u1')
    | ~ attr(c345,X2)
    | ~ attr(X1,c392)
    | ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[c7,d9]) ).

cnf(d11,plain,
    ( ~ sub(c381,X2)
    | ~ sub(c348,'familiename$u1$u1')
    | ~ attr(c345,c348)
    | ~ attr(X1,c392)
    | ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[d10,c11]) ).

cnf(d12,plain,
    ( ~ sub(c381,X2)
    | ~ sub(c348,'familiename$u1$u1')
    | ~ attr(X1,c392)
    | ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[c5,d11]) ).

cnf(d13,plain,
    ( ~ sub(c381,X2)
    | ~ attr(X1,c392)
    | ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[c10,d12]) ).

cnf(d14,plain,
    ( ~ attr(X1,c392)
    | ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[d13,c13]) ).

cnf(d15,plain,
    ( ~ rslt(X0,c394)
    | ~ obj(X0,c345) ),
    inference(resolution,[status(thm)],[d14,c16]) ).

cnf(d16,plain,
    ~ obj(c15,c345),
    inference(resolution,[status(thm)],[d15,c2]) ).

cnf(d17,plain,
    $false,
    inference(resolution,[status(thm)],[c1,d16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR116+5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41  % Computer : n020.cluster.edu
% 0.15/0.41  % Model    : x86_64 x86_64
% 0.15/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41  % Memory   : 8046.5625MB
% 0.15/0.41  % OS       : Linux 6.8.0-71-generic
% 0.15/0.41  % CPULimit : 300
% 0.15/0.41  % WCLimit  : 300
% 0.15/0.41  % DateTime : Sun Sep 27 01:16:34 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.42  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 107.36/14.48  % SZS status Theorem for theBenchmark.p
% 107.36/14.48  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------