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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR112+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% 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 : Tue May  5 04:15:25 PM UTC 2026

% Result   : Theorem 1.85s 2.10s
% Output   : CNFRefutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   38 (  10 unt;   0 def)
%            Number of atoms       :  338 (   0 equ)
%            Maximal formula atoms :  166 (   8 avg)
%            Number of connectives :  429 ( 129   ~; 111   |; 187   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  166 (  10 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-9 aty)
%            Number of functors    :   51 (  51 usr;  49 con; 0-3 aty)
%            Number of variables   :  149 (  69 sgn  24   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(synth_qa07_001_qapn_4,conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( arg1(X5,X6)
      & arg2(X5,X1)
      & attr(X8,X7)
      & pred(X3,linie_1_1)
      & pred(X4,u1_1_1)
      & sub(X2,bahn_1_1)
      & sub(X7,name_1_1)
      & subs(X5,hei__337en_1_1)
      & val(X7,u2_0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_001_qapn_4) ).

fof(ave07_era5_synth_qa07_001_qapn_4,hypothesis,
    ( sub(c5909,bahn_1_1)
    & pred(c5910,linie_1_1)
    & pred(c5912,u1_1_1)
    & attr(c5919,c5920)
    & sub(c5919,einrichtung_1_2)
    & sub(c5920,name_1_1)
    & val(c5920,u2_0)
    & pred(c5921,u3_1_1)
    & sub(c5932,abstand_1_1)
    & pred(c5937,minute_1_1)
    & tupl_p9(c6138,c5901,c5909,c5910,c5912,c5919,c5921,c5932,c5937)
    & sort(c5909,io)
    & card(c5909,int1)
    & etype(c5909,int0)
    & fact(c5909,real)
    & gener(c5909,gener_c)
    & quant(c5909,one)
    & refer(c5909,refer_c)
    & varia(c5909,varia_c)
    & sort(bahn_1_1,io)
    & card(bahn_1_1,int1)
    & etype(bahn_1_1,int0)
    & fact(bahn_1_1,real)
    & gener(bahn_1_1,ge)
    & quant(bahn_1_1,one)
    & refer(bahn_1_1,refer_c)
    & varia(bahn_1_1,varia_c)
    & sort(c5910,d)
    & sort(c5910,io)
    & card(c5910,cons(x_constant,cons(int1,nil)))
    & etype(c5910,int1)
    & fact(c5910,real)
    & gener(c5910,gener_c)
    & quant(c5910,mult)
    & refer(c5910,indet)
    & varia(c5910,varia_c)
    & sort(linie_1_1,d)
    & sort(linie_1_1,io)
    & card(linie_1_1,int1)
    & etype(linie_1_1,int0)
    & fact(linie_1_1,real)
    & gener(linie_1_1,ge)
    & quant(linie_1_1,one)
    & refer(linie_1_1,refer_c)
    & varia(linie_1_1,varia_c)
    & sort(c5912,o)
    & card(c5912,cons(x_constant,cons(int1,nil)))
    & etype(c5912,int1)
    & fact(c5912,real)
    & gener(c5912,gener_c)
    & quant(c5912,mult)
    & refer(c5912,indet)
    & varia(c5912,varia_c)
    & sort(u1_1_1,o)
    & card(u1_1_1,int1)
    & etype(u1_1_1,int0)
    & fact(u1_1_1,real)
    & gener(u1_1_1,ge)
    & quant(u1_1_1,one)
    & refer(u1_1_1,refer_c)
    & varia(u1_1_1,varia_c)
    & sort(c5919,d)
    & sort(c5919,io)
    & card(c5919,int1)
    & etype(c5919,int1)
    & fact(c5919,real)
    & gener(c5919,sp)
    & quant(c5919,one)
    & refer(c5919,det)
    & varia(c5919,con)
    & sort(c5920,na)
    & card(c5920,int1)
    & etype(c5920,int0)
    & fact(c5920,real)
    & gener(c5920,sp)
    & quant(c5920,one)
    & refer(c5920,indet)
    & varia(c5920,varia_c)
    & sort(einrichtung_1_2,d)
    & sort(einrichtung_1_2,io)
    & card(einrichtung_1_2,card_c)
    & etype(einrichtung_1_2,int1)
    & fact(einrichtung_1_2,real)
    & gener(einrichtung_1_2,ge)
    & quant(einrichtung_1_2,quant_c)
    & refer(einrichtung_1_2,refer_c)
    & varia(einrichtung_1_2,varia_c)
    & sort(name_1_1,na)
    & card(name_1_1,int1)
    & etype(name_1_1,int0)
    & fact(name_1_1,real)
    & gener(name_1_1,ge)
    & quant(name_1_1,one)
    & refer(name_1_1,refer_c)
    & varia(name_1_1,varia_c)
    & sort(u2_0,fe)
    & sort(c5921,o)
    & card(c5921,cons(x_constant,cons(int1,nil)))
    & etype(c5921,int1)
    & fact(c5921,real)
    & gener(c5921,gener_c)
    & quant(c5921,mult)
    & refer(c5921,indet)
    & varia(c5921,varia_c)
    & sort(u3_1_1,o)
    & card(u3_1_1,int1)
    & etype(u3_1_1,int0)
    & fact(u3_1_1,real)
    & gener(u3_1_1,ge)
    & quant(u3_1_1,one)
    & refer(u3_1_1,refer_c)
    & varia(u3_1_1,varia_c)
    & sort(c5932,io)
    & sort(c5932,na)
    & card(c5932,int1)
    & etype(c5932,int0)
    & fact(c5932,real)
    & gener(c5932,sp)
    & quant(c5932,one)
    & refer(c5932,det)
    & varia(c5932,con)
    & sort(abstand_1_1,io)
    & sort(abstand_1_1,na)
    & card(abstand_1_1,int1)
    & etype(abstand_1_1,int0)
    & fact(abstand_1_1,real)
    & gener(abstand_1_1,ge)
    & quant(abstand_1_1,one)
    & refer(abstand_1_1,refer_c)
    & varia(abstand_1_1,varia_c)
    & sort(c5937,me)
    & sort(c5937,oa)
    & sort(c5937,ta)
    & card(c5937,card_c)
    & etype(c5937,etype_c)
    & fact(c5937,real)
    & gener(c5937,gener_c)
    & quant(c5937,quant_c)
    & refer(c5937,refer_c)
    & varia(c5937,varia_c)
    & sort(minute_1_1,me)
    & sort(minute_1_1,oa)
    & sort(minute_1_1,ta)
    & card(minute_1_1,card_c)
    & etype(minute_1_1,etype_c)
    & fact(minute_1_1,real)
    & gener(minute_1_1,ge)
    & quant(minute_1_1,quant_c)
    & refer(minute_1_1,refer_c)
    & varia(minute_1_1,varia_c)
    & sort(c6138,ent)
    & card(c6138,card_c)
    & etype(c6138,etype_c)
    & fact(c6138,real)
    & gener(c6138,gener_c)
    & quant(c6138,quant_c)
    & refer(c6138,refer_c)
    & varia(c6138,varia_c)
    & sort(c5901,o)
    & card(c5901,int1)
    & etype(c5901,int0)
    & fact(c5901,real)
    & gener(c5901,sp)
    & quant(c5901,one)
    & refer(c5901,det)
    & varia(c5901,varia_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_001_qapn_4) ).

fof(attr_name_hei__337en_1_1,axiom,
    ! [X1,X2,X3] :
      ( ( attr(X3,X1)
        & member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        & sub(X1,X2) )
     => ? [X4] :
          ( arg1(X4,X3)
          & arg2(X4,X3)
          & subs(X4,hei__337en_1_1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',attr_name_hei__337en_1_1) ).

fof(member_second,axiom,
    ! [X1,X2,X3] :
      ( member(X1,X3)
     => member(X1,cons(X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',member_second) ).

fof(member_first,axiom,
    ! [X1,X2] : member(X1,cons(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR004+0.ax',member_first) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X1,X2,X3,X4,X5,X6,X7,X8] :
        ( arg1(X5,X6)
        & arg2(X5,X1)
        & attr(X8,X7)
        & pred(X3,linie_1_1)
        & pred(X4,u1_1_1)
        & sub(X2,bahn_1_1)
        & sub(X7,name_1_1)
        & subs(X5,hei__337en_1_1)
        & val(X7,u2_0) ),
    inference(assume_negation,[status(cth)],[synth_qa07_001_qapn_4]) ).

fof(c_0_6,negated_conjecture,
    ! [X410,X411,X412,X413,X414,X415,X416,X417] :
      ( ~ arg1(X414,X415)
      | ~ arg2(X414,X410)
      | ~ attr(X417,X416)
      | ~ pred(X412,linie_1_1)
      | ~ pred(X413,u1_1_1)
      | ~ sub(X411,bahn_1_1)
      | ~ sub(X416,name_1_1)
      | ~ subs(X414,hei__337en_1_1)
      | ~ val(X416,u2_0) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ arg1(X1,X2)
    | ~ arg2(X1,X3)
    | ~ attr(X4,X5)
    | ~ pred(X6,linie_1_1)
    | ~ pred(X7,u1_1_1)
    | ~ sub(X8,bahn_1_1)
    | ~ sub(X5,name_1_1)
    | ~ subs(X1,hei__337en_1_1)
    | ~ val(X5,u2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_8,hypothesis,
    val(c5920,u2_0),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).

cnf(c_0_9,hypothesis,
    sub(c5920,name_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ attr(X1,c5920)
    | ~ arg2(X2,X3)
    | ~ arg1(X2,X4)
    | ~ subs(X2,hei__337en_1_1)
    | ~ pred(X5,u1_1_1)
    | ~ pred(X6,linie_1_1)
    | ~ sub(X7,bahn_1_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_11,hypothesis,
    attr(c5919,c5920),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).

fof(c_0_12,plain,
    ! [X459,X460,X461] :
      ( ( arg1(esk12_3(X459,X460,X461),X461)
        | ~ attr(X461,X459)
        | ~ member(X460,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X459,X460) )
      & ( arg2(esk12_3(X459,X460,X461),X461)
        | ~ attr(X461,X459)
        | ~ member(X460,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X459,X460) )
      & ( subs(esk12_3(X459,X460,X461),hei__337en_1_1)
        | ~ attr(X461,X459)
        | ~ member(X460,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
        | ~ sub(X459,X460) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[attr_name_hei__337en_1_1])])])]) ).

cnf(c_0_13,hypothesis,
    ( ~ arg2(X1,X2)
    | ~ arg1(X1,X3)
    | ~ subs(X1,hei__337en_1_1)
    | ~ pred(X4,u1_1_1)
    | ~ pred(X5,linie_1_1)
    | ~ sub(X6,bahn_1_1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( subs(esk12_3(X1,X2,X3),hei__337en_1_1)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ! [X571,X572,X573] :
      ( ~ member(X571,X573)
      | member(X571,cons(X572,X573)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[member_second])]) ).

cnf(c_0_16,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg2(esk12_3(X2,X3,X1),X4)
    | ~ arg1(esk12_3(X2,X3,X1),X5)
    | ~ pred(X6,u1_1_1)
    | ~ pred(X7,linie_1_1)
    | ~ sub(X8,bahn_1_1)
    | ~ sub(X2,X3)
    | ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,plain,
    ( member(X1,cons(X3,X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg2(esk12_3(X2,X3,X1),X4)
    | ~ arg1(esk12_3(X2,X3,X1),X5)
    | ~ pred(X6,u1_1_1)
    | ~ pred(X7,linie_1_1)
    | ~ sub(X8,bahn_1_1)
    | ~ sub(X2,X3)
    | ~ member(X3,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_19,plain,
    ! [X569,X570] : member(X569,cons(X569,X570)),
    inference(variable_rename,[status(thm)],[member_first]) ).

cnf(c_0_20,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg2(esk12_3(X2,X3,X1),X4)
    | ~ arg1(esk12_3(X2,X3,X1),X5)
    | ~ pred(X6,u1_1_1)
    | ~ pred(X7,linie_1_1)
    | ~ sub(X8,bahn_1_1)
    | ~ sub(X2,X3)
    | ~ member(X3,cons(name_1_1,nil)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_21,plain,
    member(X1,cons(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg2(esk12_3(X2,name_1_1,X1),X3)
    | ~ arg1(esk12_3(X2,name_1_1,X1),X4)
    | ~ pred(X5,u1_1_1)
    | ~ pred(X6,linie_1_1)
    | ~ sub(X7,bahn_1_1)
    | ~ sub(X2,name_1_1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,plain,
    ( arg2(esk12_3(X1,X2,X3),X3)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_24,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg1(esk12_3(X2,name_1_1,X1),X3)
    | ~ pred(X4,u1_1_1)
    | ~ pred(X5,linie_1_1)
    | ~ sub(X6,bahn_1_1)
    | ~ sub(X2,name_1_1)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg1(esk12_3(X2,name_1_1,X1),X3)
    | ~ pred(X4,u1_1_1)
    | ~ pred(X5,linie_1_1)
    | ~ sub(X6,bahn_1_1)
    | ~ sub(X2,name_1_1)
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(spm,[status(thm)],[c_0_24,c_0_17]) ).

cnf(c_0_26,hypothesis,
    ( ~ attr(X1,X2)
    | ~ arg1(esk12_3(X2,name_1_1,X1),X3)
    | ~ pred(X4,u1_1_1)
    | ~ pred(X5,linie_1_1)
    | ~ sub(X6,bahn_1_1)
    | ~ sub(X2,name_1_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_21])]) ).

cnf(c_0_27,plain,
    ( arg1(esk12_3(X1,X2,X3),X3)
    | ~ attr(X3,X1)
    | ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
    | ~ sub(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_28,hypothesis,
    ( ~ attr(X1,X2)
    | ~ pred(X3,u1_1_1)
    | ~ pred(X4,linie_1_1)
    | ~ sub(X5,bahn_1_1)
    | ~ sub(X2,name_1_1)
    | ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,hypothesis,
    ( ~ attr(X1,X2)
    | ~ pred(X3,u1_1_1)
    | ~ pred(X4,linie_1_1)
    | ~ sub(X5,bahn_1_1)
    | ~ sub(X2,name_1_1)
    | ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_17]) ).

cnf(c_0_30,hypothesis,
    ( ~ attr(X1,X2)
    | ~ pred(X3,u1_1_1)
    | ~ pred(X4,linie_1_1)
    | ~ sub(X5,bahn_1_1)
    | ~ sub(X2,name_1_1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_17]),c_0_21])]) ).

cnf(c_0_31,hypothesis,
    pred(c5912,u1_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).

cnf(c_0_32,hypothesis,
    ( ~ attr(X1,X2)
    | ~ pred(X3,linie_1_1)
    | ~ sub(X4,bahn_1_1)
    | ~ sub(X2,name_1_1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_33,hypothesis,
    pred(c5910,linie_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).

cnf(c_0_34,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(X3,bahn_1_1)
    | ~ sub(X2,name_1_1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_35,hypothesis,
    sub(c5909,bahn_1_1),
    inference(split_conjunct,[status(thm)],[ave07_era5_synth_qa07_001_qapn_4]) ).

cnf(c_0_36,hypothesis,
    ( ~ attr(X1,X2)
    | ~ sub(X2,name_1_1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_37,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_11]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR112+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n031.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 17:04:53 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 1.85/2.10  % Version  : CSE_E---1.7
% 1.85/2.10  % Problem  : theBenchmark.p
% 1.85/2.10  % SZS status Theorem for theBenchmark.p
% 1.85/2.10  % SZS output start CNFRefutation
% See solution above
% 1.85/2.10  % Total time : 1.716s
%------------------------------------------------------------------------------