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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR116+11 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n016.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 : Tue May  5 04:15:48 PM UTC 2026

% Result   : Theorem 1.82s 2.03s
% Output   : CNFRefutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   42 (  12 unt;   0 def)
%            Number of atoms       :  343 (   0 equ)
%            Maximal formula atoms :  117 (   8 avg)
%            Number of connectives :  459 ( 158   ~; 139   |; 160   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  117 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   1 prp; 0-3 aty)
%            Number of functors    :   42 (  42 usr;  38 con; 0-3 aty)
%            Number of variables   :  151 (  58 sgn  19   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_010_mira_news_1668,conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( pmod(X9,erst_1_1,pr__344sident_1_1)
      & arg1(X4,X1)
      & attr(X1,X2)
      & attr(X1,X3)
      & attr(X6,X7)
      & obj(X8,X1)
      & prop(X5,schwarz_1_1)
      & sub(X2,familiename_1_1)
      & sub(X3,eigenname_1_1)
      & sub(X5,X9)
      & subr(X4,rprs_0)
      & val(X2,mandela_0)
      & val(X3,nelson_0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',synth_qa07_010_mira_news_1668) ).

fof(ave07_era5_synth_qa07_010_mira_news_1668,hypothesis,
    ( 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/sandbox2/benchmark/theBenchmark.p',ave07_era5_synth_qa07_010_mira_news_1668) ).

fof(sub__bezeichnen_1_1_als,axiom,
    ! [X1,X2,X3] :
      ( ( arg1(X1,X2)
        & arg2(X1,X3)
        & subr(X1,sub_0) )
     => ? [X4,X5,X6] :
          ( arg1(X5,X2)
          & arg2(X5,X6)
          & hsit(X1,X4)
          & mcont(X4,X5)
          & obj(X4,X2)
          & sub(X6,X3)
          & subr(X5,rprs_0)
          & subs(X4,bezeichnen_1_1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',sub__bezeichnen_1_1_als) ).

fof(sub__sub_0_expansion,axiom,
    ! [X1,X2] :
      ( sub(X1,X2)
     => ? [X3] :
          ( arg1(X3,X1)
          & arg2(X3,X2)
          & subr(X3,sub_0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR004+0.ax',sub__sub_0_expansion) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( pmod(X9,erst_1_1,pr__344sident_1_1)
        & arg1(X4,X1)
        & attr(X1,X2)
        & attr(X1,X3)
        & attr(X6,X7)
        & obj(X8,X1)
        & prop(X5,schwarz_1_1)
        & sub(X2,familiename_1_1)
        & sub(X3,eigenname_1_1)
        & sub(X5,X9)
        & subr(X4,rprs_0)
        & val(X2,mandela_0)
        & val(X3,nelson_0) ),
    inference(assume_negation,[status(cth)],[synth_qa07_010_mira_news_1668]) ).

fof(c_0_5,negated_conjecture,
    ! [X418,X419,X420,X421,X422,X423,X424,X425,X426] :
      ( ~ pmod(X426,erst_1_1,pr__344sident_1_1)
      | ~ arg1(X421,X418)
      | ~ attr(X418,X419)
      | ~ attr(X418,X420)
      | ~ attr(X423,X424)
      | ~ obj(X425,X418)
      | ~ prop(X422,schwarz_1_1)
      | ~ sub(X419,familiename_1_1)
      | ~ sub(X420,eigenname_1_1)
      | ~ sub(X422,X426)
      | ~ subr(X421,rprs_0)
      | ~ val(X419,mandela_0)
      | ~ val(X420,nelson_0) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ pmod(X1,erst_1_1,pr__344sident_1_1)
    | ~ arg1(X2,X3)
    | ~ attr(X3,X4)
    | ~ attr(X3,X5)
    | ~ attr(X6,X7)
    | ~ obj(X8,X3)
    | ~ prop(X9,schwarz_1_1)
    | ~ sub(X4,familiename_1_1)
    | ~ sub(X5,eigenname_1_1)
    | ~ sub(X9,X1)
    | ~ subr(X2,rprs_0)
    | ~ val(X4,mandela_0)
    | ~ val(X5,nelson_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_7,hypothesis,
    pmod(c92,erst_1_1,pr__344sident_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(c_0_8,hypothesis,
    ( ~ val(X1,nelson_0)
    | ~ val(X2,mandela_0)
    | ~ prop(X3,schwarz_1_1)
    | ~ subr(X4,rprs_0)
    | ~ attr(X5,X6)
    | ~ attr(X7,X1)
    | ~ attr(X7,X2)
    | ~ arg1(X4,X7)
    | ~ obj(X8,X7)
    | ~ sub(X1,eigenname_1_1)
    | ~ sub(X2,familiename_1_1)
    | ~ sub(X3,c92) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,hypothesis,
    val(c6,nelson_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(c_0_10,hypothesis,
    sub(c6,eigenname_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(c_0_11,hypothesis,
    ( ~ val(X1,mandela_0)
    | ~ prop(X2,schwarz_1_1)
    | ~ subr(X3,rprs_0)
    | ~ attr(X4,c6)
    | ~ attr(X5,X6)
    | ~ attr(X4,X1)
    | ~ arg1(X3,X4)
    | ~ obj(X7,X4)
    | ~ sub(X1,familiename_1_1)
    | ~ sub(X2,c92) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_12,hypothesis,
    val(c7,mandela_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(c_0_13,hypothesis,
    sub(c7,familiename_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(c_0_14,hypothesis,
    ( ~ prop(X1,schwarz_1_1)
    | ~ subr(X2,rprs_0)
    | ~ attr(X3,c6)
    | ~ attr(X3,c7)
    | ~ attr(X4,X5)
    | ~ arg1(X2,X3)
    | ~ obj(X6,X3)
    | ~ sub(X1,c92) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

cnf(c_0_15,hypothesis,
    prop(c90,schwarz_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(c_0_16,hypothesis,
    sub(c90,c92),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

fof(c_0_17,plain,
    ! [X462,X463,X464] :
      ( ( arg1(esk13_3(X462,X463,X464),X463)
        | ~ arg1(X462,X463)
        | ~ arg2(X462,X464)
        | ~ subr(X462,sub_0) )
      & ( arg2(esk13_3(X462,X463,X464),esk14_3(X462,X463,X464))
        | ~ arg1(X462,X463)
        | ~ arg2(X462,X464)
        | ~ subr(X462,sub_0) )
      & ( hsit(X462,esk12_3(X462,X463,X464))
        | ~ arg1(X462,X463)
        | ~ arg2(X462,X464)
        | ~ subr(X462,sub_0) )
      & ( mcont(esk12_3(X462,X463,X464),esk13_3(X462,X463,X464))
        | ~ arg1(X462,X463)
        | ~ arg2(X462,X464)
        | ~ subr(X462,sub_0) )
      & ( obj(esk12_3(X462,X463,X464),X463)
        | ~ arg1(X462,X463)
        | ~ arg2(X462,X464)
        | ~ subr(X462,sub_0) )
      & ( sub(esk14_3(X462,X463,X464),X464)
        | ~ arg1(X462,X463)
        | ~ arg2(X462,X464)
        | ~ subr(X462,sub_0) )
      & ( subr(esk13_3(X462,X463,X464),rprs_0)
        | ~ arg1(X462,X463)
        | ~ arg2(X462,X464)
        | ~ subr(X462,sub_0) )
      & ( subs(esk12_3(X462,X463,X464),bezeichnen_1_1)
        | ~ arg1(X462,X463)
        | ~ arg2(X462,X464)
        | ~ subr(X462,sub_0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sub__bezeichnen_1_1_als])])])])]) ).

cnf(c_0_18,hypothesis,
    ( ~ subr(X1,rprs_0)
    | ~ attr(X2,c6)
    | ~ attr(X2,c7)
    | ~ attr(X3,X4)
    | ~ arg1(X1,X2)
    | ~ obj(X5,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

cnf(c_0_19,plain,
    ( subr(esk13_3(X1,X2,X3),rprs_0)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subr(X1,sub_0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,hypothesis,
    ( ~ subr(X1,sub_0)
    | ~ attr(X2,c6)
    | ~ attr(X2,c7)
    | ~ attr(X3,X4)
    | ~ arg2(X1,X5)
    | ~ arg1(esk13_3(X1,X6,X5),X2)
    | ~ arg1(X1,X6)
    | ~ obj(X7,X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,plain,
    ( arg1(esk13_3(X1,X2,X3),X2)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subr(X1,sub_0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_22,plain,
    ! [X468,X469] :
      ( ( arg1(esk15_2(X468,X469),X468)
        | ~ sub(X468,X469) )
      & ( arg2(esk15_2(X468,X469),X469)
        | ~ sub(X468,X469) )
      & ( subr(esk15_2(X468,X469),sub_0)
        | ~ sub(X468,X469) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sub__sub_0_expansion])])])]) ).

cnf(c_0_23,hypothesis,
    ( ~ subr(X1,sub_0)
    | ~ attr(X2,c6)
    | ~ attr(X2,c7)
    | ~ attr(X3,X4)
    | ~ arg2(X1,X5)
    | ~ arg1(X1,X2)
    | ~ obj(X6,X2) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,plain,
    ( subr(esk15_2(X1,X2),sub_0)
    | ~ sub(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_25,hypothesis,
    ( ~ attr(X1,c6)
    | ~ attr(X1,c7)
    | ~ attr(X2,X3)
    | ~ arg2(esk15_2(X4,X5),X6)
    | ~ arg1(esk15_2(X4,X5),X1)
    | ~ obj(X7,X1)
    | ~ sub(X4,X5) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_26,plain,
    ( arg2(esk15_2(X1,X2),X2)
    | ~ sub(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_27,hypothesis,
    ( ~ attr(X1,c6)
    | ~ attr(X1,c7)
    | ~ attr(X2,X3)
    | ~ arg1(esk15_2(X4,X5),X1)
    | ~ obj(X6,X1)
    | ~ sub(X4,X5) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_28,plain,
    ( arg1(esk15_2(X1,X2),X1)
    | ~ sub(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,hypothesis,
    ( ~ attr(X1,c6)
    | ~ attr(X1,c7)
    | ~ attr(X2,X3)
    | ~ obj(X4,X1)
    | ~ sub(X1,X5) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,hypothesis,
    attr(c5,c6),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(c_0_31,hypothesis,
    attr(c5,c7),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(c_0_32,hypothesis,
    ( ~ attr(X1,X2)
    | ~ obj(X3,c5)
    | ~ sub(c5,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_33,plain,
    ( obj(esk12_3(X1,X2,X3),X2)
    | ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ subr(X1,sub_0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_34,hypothesis,
    ( ~ subr(X1,sub_0)
    | ~ attr(X2,X3)
    | ~ arg2(X1,X4)
    | ~ arg1(X1,c5)
    | ~ sub(c5,X5) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_35,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg2(esk15_2(X3,X4),X5)
    | ~ arg1(esk15_2(X3,X4),c5)
    | ~ sub(c5,X6)
    | ~ sub(X3,X4) ),
    inference(spm,[status(thm)],[c_0_34,c_0_24]) ).

cnf(c_0_36,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg2(esk15_2(c5,X3),X4)
    | ~ sub(c5,X5)
    | ~ sub(c5,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_28]) ).

cnf(c_0_37,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(c5,X3)
    | ~ sub(c5,X4) ),
    inference(spm,[status(thm)],[c_0_36,c_0_26]) ).

cnf(c_0_38,hypothesis,
    sub(c5,mensch_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_010_mira_news_1668]) ).

cnf(c_0_39,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(c5,X3) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_40,hypothesis,
    ~ attr(X1,X2),
    inference(spm,[status(thm)],[c_0_39,c_0_38]) ).

cnf(c_0_41,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_30,c_0_40]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : CSR116+11 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n016.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Mon May  4 17:08:21 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 1.82/2.03  % Version  : CSE_E---1.7
% 1.82/2.03  % Problem  : theBenchmark.p
% 1.82/2.03  % SZS status Theorem for theBenchmark.p
% 1.82/2.03  % SZS output start CNFRefutation
% See solution above
% 1.82/2.04  % Total time : 1.664s
%------------------------------------------------------------------------------