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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR116+31 : 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 : n007.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 07:07:54 AM UTC 2026

% Result   : Theorem 0.15s 5.57s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   40 (  20 unt;   0 def)
%            Number of atoms       :  443 (   0 equ)
%            Maximal formula atoms :  217 (  11 avg)
%            Number of connectives :  575 ( 172   ~; 153   |; 250   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  217 (  12 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   23 (  22 usr;   1 prp; 0-3 aty)
%            Number of functors    :   60 (  60 usr;  60 con; 0-0 aty)
%            Number of variables   :   56 (   5 sgn   0   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ave07_era5_synth_qa07_010_mira_wp_673,axiom,
    ( varia(abschlu__337_1_1,varia_c)
    & refer(abschlu__337_1_1,refer_c)
    & quant(abschlu__337_1_1,one)
    & gener(abschlu__337_1_1,ge)
    & fact(abschlu__337_1_1,real)
    & etype(abschlu__337_1_1,int0)
    & card(abschlu__337_1_1,int1)
    & sort(abschlu__337_1_1,io)
    & sort(abschlu__337_1_1,ad)
    & gener(rprs_0,gener_c)
    & fact(rprs_0,real)
    & sort(rprs_0,st)
    & card(c50,int1995)
    & sort(c50,nu)
    & varia(jahr__1_1,varia_c)
    & refer(jahr__1_1,refer_c)
    & quant(jahr__1_1,quant_c)
    & gener(jahr__1_1,ge)
    & fact(jahr__1_1,real)
    & etype(jahr__1_1,etype_c)
    & card(jahr__1_1,card_c)
    & sort(jahr__1_1,ta)
    & sort(jahr__1_1,oa)
    & sort(jahr__1_1,me)
    & varia(c53,varia_c)
    & refer(c53,refer_c)
    & quant(c53,quant_c)
    & gener(c53,sp)
    & fact(c53,real)
    & etype(c53,etype_c)
    & card(c53,card_c)
    & sort(c53,ta)
    & sort(c53,oa)
    & sort(c53,me)
    & sort(s__374dafrika_0,fe)
    & varia(name_1_1,varia_c)
    & refer(name_1_1,refer_c)
    & quant(name_1_1,one)
    & gener(name_1_1,ge)
    & fact(name_1_1,real)
    & etype(name_1_1,int0)
    & card(name_1_1,int1)
    & sort(name_1_1,na)
    & 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(c49,varia_c)
    & refer(c49,indet)
    & quant(c49,one)
    & gener(c49,sp)
    & fact(c49,real)
    & etype(c49,int0)
    & card(c49,int1)
    & sort(c49,na)
    & varia(c48,con)
    & refer(c48,det)
    & quant(c48,one)
    & gener(c48,sp)
    & fact(c48,real)
    & etype(c48,int0)
    & card(c48,int1)
    & sort(c48,io)
    & sort(c48,d)
    & varia(c52,con)
    & refer(c52,det)
    & quant(c52,one)
    & gener(c52,sp)
    & fact(c52,real)
    & etype(c52,int0)
    & card(c52,int1)
    & sort(c52,t)
    & gener(w__344hlen_1_2,ge)
    & fact(w__344hlen_1_2,real)
    & sort(w__344hlen_1_2,da)
    & gener(c55,sp)
    & fact(c55,real)
    & sort(c55,st)
    & gener(c34,sp)
    & fact(c34,real)
    & sort(c34,da)
    & 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(c28,varia_c)
    & refer(c28,refer_c)
    & quant(c28,one)
    & gener(c28,ge)
    & fact(c28,real)
    & etype(c28,int0)
    & card(c28,int1)
    & sort(c28,d)
    & sort(schwarz_1_1,tq)
    & varia(c26,con)
    & refer(c26,det)
    & quant(c26,one)
    & gener(c26,sp)
    & fact(c26,real)
    & etype(c26,int0)
    & card(c26,int1)
    & sort(c26,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(c20,varia_c)
    & refer(c20,indet)
    & quant(c20,one)
    & gener(c20,sp)
    & fact(c20,real)
    & etype(c20,int0)
    & card(c20,int1)
    & sort(c20,na)
    & varia(c19,varia_c)
    & refer(c19,indet)
    & quant(c19,one)
    & gener(c19,sp)
    & fact(c19,real)
    & etype(c19,int0)
    & card(c19,int1)
    & sort(c19,na)
    & varia(c18,con)
    & refer(c18,det)
    & quant(c18,one)
    & gener(c18,sp)
    & fact(c18,real)
    & etype(c18,int0)
    & card(c18,int1)
    & sort(c18,d)
    & varia(apartheid_1_1,varia_c)
    & refer(apartheid_1_1,refer_c)
    & quant(apartheid_1_1,one)
    & gener(apartheid_1_1,ge)
    & fact(apartheid_1_1,real)
    & etype(apartheid_1_1,int0)
    & card(apartheid_1_1,int1)
    & sort(apartheid_1_1,io)
    & varia(c7,con)
    & refer(c7,det)
    & quant(c7,one)
    & gener(c7,sp)
    & fact(c7,real)
    & etype(c7,int0)
    & card(c7,int1)
    & sort(c7,io)
    & sort(c7,ad)
    & varia(c11,con)
    & refer(c11,det)
    & quant(c11,one)
    & gener(c11,sp)
    & fact(c11,real)
    & etype(c11,int0)
    & card(c11,int1)
    & sort(c11,io)
    & sub(c7,abschlu__337_1_1)
    & ante(c7,c34)
    & subr(c55,rprs_0)
    & arg2(c55,c26)
    & arg1(c55,c18)
    & val(c53,c50)
    & sub(c53,jahr__1_1)
    & attr(c52,c53)
    & val(c49,s__374dafrika_0)
    & sub(c49,name_1_1)
    & sub(c48,land_1_1)
    & attr(c48,c49)
    & attch(c48,c26)
    & temp(c34,c52)
    & subs(c34,w__344hlen_1_2)
    & rslt(c34,c55)
    & obj(c34,c18)
    & pmod(c28,erst_1_1,pr__344sident_1_1)
    & sub(c26,c28)
    & prop(c26,schwarz_1_1)
    & val(c20,mandela_0)
    & sub(c20,familiename_1_1)
    & val(c19,nelson_0)
    & sub(c19,eigenname_1_1)
    & sub(c18,mensch_1_1)
    & attr(c18,c20)
    & attr(c18,c19)
    & sub(c11,apartheid_1_1)
    & attch(c11,c7) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_010_mira_wp_673) ).

fof(synth_qa07_010_mira_wp_673,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( val(X6,s__374dafrika_0)
      & val(X2,nelson_0)
      & val(X1,mandela_0)
      & subs(X7,w__344hlen_1_2)
      & subr(X3,rprs_0)
      & sub(X6,name_1_1)
      & 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_wp_673) ).

fof(synth_qa07_010_mira_wp_673_neg,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( val(X6,s__374dafrika_0)
        & val(X2,nelson_0)
        & val(X1,mandela_0)
        & subs(X7,w__344hlen_1_2)
        & subr(X3,rprs_0)
        & sub(X6,name_1_1)
        & 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_wp_673]) ).

cnf(c_270,plain,
    attr(c18,c19),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_271,plain,
    attr(c18,c20),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_273,plain,
    sub(c19,eigenname_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_274,plain,
    val(c19,nelson_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_275,plain,
    sub(c20,familiename_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_276,plain,
    val(c20,mandela_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_277,plain,
    prop(c26,schwarz_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_278,plain,
    sub(c26,c28),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_279,plain,
    pmod(c28,erst_1_1,pr__344sident_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_280,plain,
    obj(c34,c18),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_281,plain,
    rslt(c34,c55),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_282,plain,
    subs(c34,w__344hlen_1_2),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_285,plain,
    attr(c48,c49),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_287,plain,
    sub(c49,name_1_1),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_288,plain,
    val(c49,s__374dafrika_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_292,plain,
    arg1(c55,c18),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_293,plain,
    arg2(c55,c26),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_294,plain,
    subr(c55,rprs_0),
    inference(clausify,[status(thm)],[ave07_era5_synth_qa07_010_mira_wp_673]) ).

cnf(c_485,negated_conjecture,
    ( ~ val(V7,s__374dafrika_0)
    | ~ val(F,nelson_0)
    | ~ val(E,mandela_0)
    | ~ subs(V8,w__344hlen_1_2)
    | ~ subr(B,rprs_0)
    | ~ sub(V7,name_1_1)
    | ~ 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_wp_673_neg]) ).

cnf(c_514,negated_conjecture,
    ( ~ val(F,s__374dafrika_0)
    | ~ val(D,nelson_0)
    | ~ val(C,mandela_0)
    | ~ subs(V6,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(F,name_1_1)
    | ~ sub(B,A)
    | ~ sub(D,eigenname_1_1)
    | ~ sub(C,familiename_1_1)
    | ~ rslt(V6,c55)
    | ~ prop(B,schwarz_1_1)
    | ~ obj(V6,c18)
    | ~ attr(E,F)
    | ~ attr(c18,D)
    | ~ attr(c18,C)
    | ~ arg2(c55,B)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_485,c_292]) ).

cnf(c_515,negated_conjecture,
    ( ~ val(E,s__374dafrika_0)
    | ~ val(C,nelson_0)
    | ~ val(B,mandela_0)
    | ~ subs(F,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(E,name_1_1)
    | ~ sub(c26,A)
    | ~ sub(C,eigenname_1_1)
    | ~ sub(B,familiename_1_1)
    | ~ rslt(F,c55)
    | ~ prop(c26,schwarz_1_1)
    | ~ obj(F,c18)
    | ~ attr(D,E)
    | ~ attr(c18,C)
    | ~ attr(c18,B)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_514,c_293]) ).

cnf(c_516,negated_conjecture,
    ( ~ val(D,s__374dafrika_0)
    | ~ val(B,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(E,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(D,name_1_1)
    | ~ sub(c26,A)
    | ~ sub(B,eigenname_1_1)
    | ~ sub(c20,familiename_1_1)
    | ~ rslt(E,c55)
    | ~ prop(c26,schwarz_1_1)
    | ~ obj(E,c18)
    | ~ attr(C,D)
    | ~ attr(c18,B)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_515,c_271]) ).

cnf(c_517,negated_conjecture,
    ( ~ val(C,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(D,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(C,name_1_1)
    | ~ sub(c26,A)
    | ~ sub(c19,eigenname_1_1)
    | ~ sub(c20,familiename_1_1)
    | ~ rslt(D,c55)
    | ~ prop(c26,schwarz_1_1)
    | ~ obj(D,c18)
    | ~ attr(B,C)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_516,c_270]) ).

cnf(c_518,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(B,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(c49,name_1_1)
    | ~ sub(c26,A)
    | ~ sub(c19,eigenname_1_1)
    | ~ sub(c20,familiename_1_1)
    | ~ rslt(B,c55)
    | ~ prop(c26,schwarz_1_1)
    | ~ obj(B,c18)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_517,c_285]) ).

cnf(c_519,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(c34,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(c49,name_1_1)
    | ~ sub(c26,A)
    | ~ sub(c19,eigenname_1_1)
    | ~ sub(c20,familiename_1_1)
    | ~ rslt(c34,c55)
    | ~ prop(c26,schwarz_1_1)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_518,c_280]) ).

cnf(c_520,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(c34,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(c49,name_1_1)
    | ~ sub(c26,A)
    | ~ sub(c19,eigenname_1_1)
    | ~ sub(c20,familiename_1_1)
    | ~ rslt(c34,c55)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_519,c_277]) ).

cnf(c_521,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(c34,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(c49,name_1_1)
    | ~ sub(c26,A)
    | ~ sub(c19,eigenname_1_1)
    | ~ sub(c20,familiename_1_1)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_520,c_281]) ).

cnf(c_522,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(c34,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(c49,name_1_1)
    | ~ sub(c26,A)
    | ~ sub(c19,eigenname_1_1)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_521,c_275]) ).

cnf(c_523,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(c34,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(c49,name_1_1)
    | ~ sub(c26,A)
    | ~ pmod(A,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_522,c_273]) ).

cnf(c_524,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(c34,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ sub(c49,name_1_1)
    | ~ pmod(c28,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_523,c_278]) ).

cnf(c_525,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(c34,w__344hlen_1_2)
    | ~ subr(c55,rprs_0)
    | ~ pmod(c28,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_524,c_287]) ).

cnf(c_526,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ subs(c34,w__344hlen_1_2)
    | ~ pmod(c28,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_525,c_294]) ).

cnf(c_527,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ val(c20,mandela_0)
    | ~ pmod(c28,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_526,c_282]) ).

cnf(c_528,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ val(c19,nelson_0)
    | ~ pmod(c28,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_527,c_276]) ).

cnf(c_529,negated_conjecture,
    ( ~ val(c49,s__374dafrika_0)
    | ~ pmod(c28,erst_1_1,pr__344sident_1_1) ),
    inference(resolve,[status(thm)],[c_528,c_274]) ).

cnf(c_530,negated_conjecture,
    ~ pmod(c28,erst_1_1,pr__344sident_1_1),
    inference(resolve,[status(thm)],[c_529,c_288]) ).

cnf(c_513,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_279,c_530]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR116+31 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37  % Computer : n007.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 01:12:59 UTC 2026
% 0.09/5.37  % CPUTime  : 
% 0.09/5.38  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.38  % Process 909718 was started by sandbox on n007,
% 0.09/5.38  % Sun Sep 27 01:12:59 2026
% 0.09/5.38  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/5.57  
% 0.15/5.57  % SInE (scan): 98 to sos (tol 1.5x), 24 to usable (tol 2.0x), 10066 zapped, of 10188 axioms (depth 3).
% 0.15/5.57  
% 0.15/5.57  % From the command line: assign(max_seconds, 300).
% 0.15/5.57  
% 0.15/5.57  % SZS status Theorem for theBenchmark
% 0.15/5.57  
% 0.15/5.57  % Proof 1 at 0.08 (+ 0.03) seconds.
% 0.15/5.57  % Length of proof is 22.
% 0.15/5.57  % Level of proof is 2.
% 0.15/5.57  % Maximum clause weight is 57.000.
% 0.15/5.57  % Given clauses 71.
% 0.15/5.57  
% 0.15/5.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------