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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR116+7 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 07:07:57 AM UTC 2026

% Result   : Theorem 0.93s 0.59s
% Output   : CNFRefutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   35 (  17 unt;   0 def)
%            Number of atoms       :  349 (   0 equ)
%            Maximal formula atoms :  165 (   9 avg)
%            Number of connectives :  451 ( 137   ~; 120   |; 194   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  165 (  11 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   23 (  22 usr;   1 prp; 0-3 aty)
%            Number of functors    :   46 (  46 usr;  46 con; 0-0 aty)
%            Number of variables   :   56 (  10 sgn   0   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_010_mira_news_1614,axiom,
    ( varia(montag__1_1,varia_c)
    & refer(montag__1_1,refer_c)
    & quant(montag__1_1,one)
    & gener(montag__1_1,ge)
    & fact(montag__1_1,real)
    & etype(montag__1_1,int0)
    & card(montag__1_1,int1)
    & sort(montag__1_1,ta)
    & gener(rprs_0,gener_c)
    & fact(rprs_0,real)
    & sort(rprs_0,st)
    & varia(c5,con)
    & refer(c5,det)
    & quant(c5,one)
    & gener(c5,sp)
    & fact(c5,real)
    & etype(c5,int0)
    & card(c5,int1)
    & sort(c5,ta)
    & gener(w__344hlen_1_2,ge)
    & fact(w__344hlen_1_2,real)
    & sort(w__344hlen_1_2,da)
    & gener(c47,sp)
    & fact(c47,real)
    & sort(c47,st)
    & gener(c38,sp)
    & fact(c38,real)
    & sort(c38,da)
    & varia(land_1_1,varia_c)
    & refer(land_1_1,refer_c)
    & quant(land_1_1,one)
    & gener(land_1_1,ge)
    & fact(land_1_1,real)
    & etype(land_1_1,int0)
    & card(land_1_1,int1)
    & sort(land_1_1,io)
    & sort(land_1_1,d)
    & varia(c33,con)
    & refer(c33,det)
    & quant(c33,one)
    & gener(c33,sp)
    & fact(c33,real)
    & etype(c33,int0)
    & card(c33,int1)
    & sort(c33,io)
    & sort(c33,d)
    & varia(pr__344sident_1_1,varia_c)
    & refer(pr__344sident_1_1,refer_c)
    & quant(pr__344sident_1_1,one)
    & gener(pr__344sident_1_1,ge)
    & fact(pr__344sident_1_1,real)
    & etype(pr__344sident_1_1,int0)
    & card(pr__344sident_1_1,int1)
    & sort(pr__344sident_1_1,d)
    & card(erst_1_1,int1)
    & sort(erst_1_1,oq)
    & varia(c27,varia_c)
    & refer(c27,refer_c)
    & quant(c27,one)
    & gener(c27,ge)
    & fact(c27,real)
    & etype(c27,int0)
    & card(c27,int1)
    & sort(c27,d)
    & sort(schwarz_1_1,tq)
    & varia(c25,con)
    & refer(c25,det)
    & quant(c25,one)
    & gener(c25,sp)
    & fact(c25,real)
    & etype(c25,int0)
    & card(c25,int1)
    & sort(c25,d)
    & varia(abgeordneten_haus_1_2,varia_c)
    & refer(abgeordneten_haus_1_2,refer_c)
    & quant(abgeordneten_haus_1_2,one)
    & gener(abgeordneten_haus_1_2,ge)
    & fact(abgeordneten_haus_1_2,real)
    & etype(abgeordneten_haus_1_2,int0)
    & card(abgeordneten_haus_1_2,int1)
    & sort(abgeordneten_haus_1_2,io)
    & sort(abgeordneten_haus_1_2,d)
    & sort(neugew__344hlt_1_1,gq)
    & varia(c18,con)
    & refer(c18,det)
    & quant(c18,one)
    & gener(c18,sp)
    & fact(c18,real)
    & etype(c18,int0)
    & card(c18,int1)
    & sort(c18,io)
    & sort(c18,d)
    & sort(mandela_0,fe)
    & varia(familiename_1_1,varia_c)
    & refer(familiename_1_1,refer_c)
    & quant(familiename_1_1,one)
    & gener(familiename_1_1,ge)
    & fact(familiename_1_1,real)
    & etype(familiename_1_1,int0)
    & card(familiename_1_1,int1)
    & sort(familiename_1_1,na)
    & sort(nelson_0,fe)
    & varia(eigenname_1_1,varia_c)
    & refer(eigenname_1_1,refer_c)
    & quant(eigenname_1_1,one)
    & gener(eigenname_1_1,ge)
    & fact(eigenname_1_1,real)
    & etype(eigenname_1_1,int0)
    & card(eigenname_1_1,int1)
    & sort(eigenname_1_1,na)
    & varia(mensch_1_1,varia_c)
    & refer(mensch_1_1,refer_c)
    & quant(mensch_1_1,one)
    & gener(mensch_1_1,ge)
    & fact(mensch_1_1,real)
    & etype(mensch_1_1,int0)
    & card(mensch_1_1,int1)
    & sort(mensch_1_1,d)
    & varia(c14,varia_c)
    & refer(c14,indet)
    & quant(c14,one)
    & gener(c14,sp)
    & fact(c14,real)
    & etype(c14,int0)
    & card(c14,int1)
    & sort(c14,na)
    & varia(c13,varia_c)
    & refer(c13,indet)
    & quant(c13,one)
    & gener(c13,sp)
    & fact(c13,real)
    & etype(c13,int0)
    & card(c13,int1)
    & sort(c13,na)
    & varia(c12,con)
    & refer(c12,det)
    & quant(c12,one)
    & gener(c12,sp)
    & fact(c12,real)
    & etype(c12,int0)
    & card(c12,int1)
    & sort(c12,d)
    & sub(c5,montag__1_1)
    & subr(c47,rprs_0)
    & arg2(c47,c25)
    & arg1(c47,c12)
    & temp(c38,c5)
    & subs(c38,w__344hlen_1_2)
    & rslt(c38,c47)
    & obj(c38,c12)
    & agt(c38,c18)
    & sub(c33,land_1_1)
    & attch(c33,c25)
    & pmod(c27,erst_1_1,pr__344sident_1_1)
    & sub(c25,c27)
    & prop(c25,schwarz_1_1)
    & sub(c18,abgeordneten_haus_1_2)
    & prop(c18,neugew__344hlt_1_1)
    & val(c14,mandela_0)
    & sub(c14,familiename_1_1)
    & val(c13,nelson_0)
    & sub(c13,eigenname_1_1)
    & sub(c12,mensch_1_1)
    & attr(c12,c14)
    & attr(c12,c13) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1614) ).

fof(synth_qa07_010_mira_news_1614,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( val(X2,nelson_0)
      & val(X1,mandela_0)
      & subs(X7,w__344hlen_1_2)
      & subr(X3,rprs_0)
      & sub(X4,X8)
      & sub(X2,eigenname_1_1)
      & sub(X1,familiename_1_1)
      & rslt(X7,X3)
      & prop(X4,schwarz_1_1)
      & obj(X7,X0)
      & attr(X5,X6)
      & attr(X0,X2)
      & attr(X0,X1)
      & arg2(X3,X4)
      & arg1(X3,X0)
      & pmod(X8,erst_1_1,pr__344sident_1_1) ),
    file('theBenchmark.p',synth_qa07_010_mira_news_1614) ).

fof(synth_qa07_010_mira_news_1614_neg,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( val(X2,nelson_0)
        & val(X1,mandela_0)
        & subs(X7,w__344hlen_1_2)
        & subr(X3,rprs_0)
        & sub(X4,X8)
        & sub(X2,eigenname_1_1)
        & sub(X1,familiename_1_1)
        & rslt(X7,X3)
        & prop(X4,schwarz_1_1)
        & obj(X7,X0)
        & attr(X5,X6)
        & attr(X0,X2)
        & attr(X0,X1)
        & arg2(X3,X4)
        & arg1(X3,X0)
        & pmod(X8,erst_1_1,pr__344sident_1_1) ),
    inference(assume_negation,[status(cth)],[synth_qa07_010_mira_news_1614]) ).

cnf(c_258,plain,
    attr(c12,c13),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_259,plain,
    attr(c12,c14),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_261,plain,
    sub(c13,eigenname_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_262,plain,
    val(c13,nelson_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_263,plain,
    sub(c14,familiename_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_264,plain,
    val(c14,mandela_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_267,plain,
    prop(c25,schwarz_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_268,plain,
    sub(c25,c27),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_269,plain,
    pmod(c27,erst_1_1,pr__344sident_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_273,plain,
    obj(c38,c12),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_274,plain,
    rslt(c38,c47),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_275,plain,
    subs(c38,w__344hlen_1_2),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_277,plain,
    arg1(c47,c12),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_278,plain,
    arg2(c47,c25),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_279,plain,
    subr(c47,rprs_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1614]) ).

cnf(c_423,negated_conjecture,
    ( ~ val(F,nelson_0)
    | ~ val(E,mandela_0)
    | ~ subs(V8,w__344hlen_1_2)
    | ~ subr(B,rprs_0)
    | ~ sub(D,A)
    | ~ sub(F,eigenname_1_1)
    | ~ sub(E,familiename_1_1)
    | ~ rslt(V8,B)
    | ~ prop(D,schwarz_1_1)
    | ~ obj(V8,C)
    | ~ attr(V6,V7)
    | ~ attr(C,F)
    | ~ attr(C,E)
    | ~ arg2(B,D)
    | ~ arg1(B,C)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(clausify,[status(thm)],[synth_qa07_010_mira_news_1614_neg]) ).

cnf(c_447,negated_conjecture,
    ( ~ val(D,nelson_0)
    | ~ val(C,mandela_0)
    | ~ subs(V6,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ sub(B,A)
    | ~ sub(D,eigenname_1_1)
    | ~ sub(C,familiename_1_1)
    | ~ rslt(V6,c47)
    | ~ prop(B,schwarz_1_1)
    | ~ obj(V6,c12)
    | ~ attr(E,F)
    | ~ attr(c12,D)
    | ~ attr(c12,C)
    | ~ arg2(c47,B)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_423,c_277]) ).

cnf(c_448,negated_conjecture,
    ( ~ val(C,nelson_0)
    | ~ val(B,mandela_0)
    | ~ subs(F,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ sub(c25,A)
    | ~ sub(C,eigenname_1_1)
    | ~ sub(B,familiename_1_1)
    | ~ rslt(F,c47)
    | ~ prop(c25,schwarz_1_1)
    | ~ obj(F,c12)
    | ~ attr(D,E)
    | ~ attr(c12,C)
    | ~ attr(c12,B)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_447,c_278]) ).

cnf(c_449,negated_conjecture,
    ( ~ val(B,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ subs(E,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ sub(c25,A)
    | ~ sub(B,eigenname_1_1)
    | ~ sub(c14,familiename_1_1)
    | ~ rslt(E,c47)
    | ~ prop(c25,schwarz_1_1)
    | ~ obj(E,c12)
    | ~ attr(C,D)
    | ~ attr(c12,B)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_448,c_259]) ).

cnf(c_450,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ subs(D,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ sub(c25,A)
    | ~ sub(c13,eigenname_1_1)
    | ~ sub(c14,familiename_1_1)
    | ~ rslt(D,c47)
    | ~ prop(c25,schwarz_1_1)
    | ~ obj(D,c12)
    | ~ attr(B,C)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_449,c_258]) ).

cnf(c_451,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ subs(B,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ sub(c25,A)
    | ~ sub(c13,eigenname_1_1)
    | ~ sub(c14,familiename_1_1)
    | ~ rslt(B,c47)
    | ~ prop(c25,schwarz_1_1)
    | ~ obj(B,c12)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_450,c_259]) ).

cnf(c_452,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ subs(c38,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ sub(c25,A)
    | ~ sub(c13,eigenname_1_1)
    | ~ sub(c14,familiename_1_1)
    | ~ rslt(c38,c47)
    | ~ prop(c25,schwarz_1_1)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_451,c_273]) ).

cnf(c_453,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ subs(c38,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ sub(c25,A)
    | ~ sub(c13,eigenname_1_1)
    | ~ sub(c14,familiename_1_1)
    | ~ rslt(c38,c47)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_452,c_267]) ).

cnf(c_454,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ subs(c38,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ sub(c25,A)
    | ~ sub(c13,eigenname_1_1)
    | ~ sub(c14,familiename_1_1)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_453,c_274]) ).

cnf(c_455,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ subs(c38,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ sub(c25,A)
    | ~ sub(c13,eigenname_1_1)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_454,c_263]) ).

cnf(c_456,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ subs(c38,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ sub(c25,A)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_455,c_261]) ).

cnf(c_457,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ subs(c38,w__344hlen_1_2)
    | ~ subr(c47,rprs_0)
    | ~ pmod(c27,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_456,c_268]) ).

cnf(c_458,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ subs(c38,w__344hlen_1_2)
    | ~ pmod(c27,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_457,c_279]) ).

cnf(c_459,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ val(c14,mandela_0)
    | ~ pmod(c27,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_458,c_275]) ).

cnf(c_460,negated_conjecture,
    ( ~ val(c13,nelson_0)
    | ~ pmod(c27,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_459,c_264]) ).

cnf(c_461,negated_conjecture,
    ~ pmod(c27,erst_1_1,pr__344sident_1_1),
    inference(resolve,[status(thm)],[c_460,c_262]) ).

cnf(c_446,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_269,c_461]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR116+7 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n017.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 01:11:48 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37  % Process 2055355 was started by sandbox on n017,
% 0.10/0.37  % Sun Sep 27 01:11:48 2026
% 0.10/0.37  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.93/0.59  
% 0.93/0.59  % SInE (scan): 84 to sos (tol 1.5x), 28 to usable (tol 2.0x), 10076 zapped, of 10188 axioms (depth 3).
% 0.93/0.59  
% 0.93/0.59  % From the command line: assign(max_seconds, 300).
% 0.93/0.59  
% 0.93/0.59  % SZS status Theorem for theBenchmark
% 0.93/0.59  
% 0.93/0.59  % Proof 1 at 0.06 (+ 0.03) seconds.
% 0.93/0.59  % Length of proof is 19.
% 0.93/0.59  % Level of proof is 2.
% 0.93/0.59  % Maximum clause weight is 51.000.
% 0.93/0.59  % Given clauses 55.
% 0.93/0.59  
% 0.93/0.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
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