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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : CSR115+66 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.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 : Thu Sep 24 08:37:18 AM UTC 2026

% Result   : Theorem 4.15s 19.45s
% Output   : Proof 4.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   49 (  34 unt;   0 def)
%            Number of atoms       :  386 (   0 equ)
%            Maximal formula atoms :  127 (   7 avg)
%            Number of connectives :  408 (  71   ~;  64   |; 272   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  127 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-2 aty)
%            Number of functors    :   45 (  45 usr;  45 con; 0-0 aty)
%            Number of variables   :   57 (   1 sgn  34   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(has_card_eq,axiom,
    ! [X0,X1] :
      ( card(X0,X1)
     => has_card_leq(X0,X1) ),
    file('CSR004+0.ax',has_card_eq) ).

fof(synth_qa07_007_mira_wp_475_a19984,conjecture,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( val(X5,X6)
      & val(X1,bmw_0)
      & temp(X3,X4)
      & subs(X3,n374bernehmen_1_1)
      & sub(X5,jahr__1_1)
      & sub(X1,name_1_1)
      & sub(X0,firma_1_1)
      & has_card_leq(X6,int1994)
      & attr(X4,X5)
      & attr(X2,X1)
      & agt(X3,X2) ),
    file('theBenchmark.p',synth_qa07_007_mira_wp_475_a19984) ).

fof(ave07_era5_synth_qa07_007_mira_wp_475_a19984,hypothesis,
    ( sort(bmw_0,fe)
    & varia(firma_1_1,varia_c)
    & refer(firma_1_1,refer_c)
    & quant(firma_1_1,one)
    & gener(firma_1_1,ge)
    & fact(firma_1_1,real)
    & etype(firma_1_1,int0)
    & card(firma_1_1,int1)
    & sort(firma_1_1,io)
    & sort(firma_1_1,d)
    & varia(c87,varia_c)
    & refer(c87,indet)
    & quant(c87,one)
    & gener(c87,sp)
    & fact(c87,real)
    & etype(c87,int0)
    & card(c87,int1)
    & sort(c87,na)
    & card(c1,int1994)
    & sort(c1,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(c5,varia_c)
    & refer(c5,refer_c)
    & quant(c5,quant_c)
    & gener(c5,sp)
    & fact(c5,real)
    & etype(c5,etype_c)
    & card(c5,card_c)
    & sort(c5,ta)
    & sort(c5,oa)
    & sort(c5,me)
    & varia(c4,con)
    & refer(c4,det)
    & quant(c4,one)
    & gener(c4,sp)
    & fact(c4,real)
    & etype(c4,int0)
    & card(c4,int1)
    & sort(c4,t)
    & gener(n374bernehmen_1_1,ge)
    & fact(n374bernehmen_1_1,real)
    & sort(n374bernehmen_1_1,da)
    & varia(c86,con)
    & refer(c86,det)
    & quant(c86,one)
    & gener(c86,sp)
    & fact(c86,real)
    & etype(c86,int0)
    & card(c86,int1)
    & sort(c86,io)
    & sort(c86,d)
    & gener(c3,sp)
    & fact(c3,real)
    & sort(c3,da)
    & sort(rover_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)
    & sort(britisch__1_1,nq)
    & varia(c104,varia_c)
    & refer(c104,indet)
    & quant(c104,one)
    & gener(c104,sp)
    & fact(c104,real)
    & etype(c104,int0)
    & card(c104,int1)
    & sort(c104,na)
    & varia(c103,con)
    & refer(c103,det)
    & quant(c103,one)
    & gener(c103,sp)
    & fact(c103,real)
    & etype(c103,int0)
    & card(c103,int1)
    & sort(c103,io)
    & sort(c103,d)
    & varia(fabrikant_1_1,varia_c)
    & refer(fabrikant_1_1,refer_c)
    & quant(fabrikant_1_1,one)
    & gener(fabrikant_1_1,ge)
    & fact(fabrikant_1_1,real)
    & etype(fabrikant_1_1,int0)
    & card(fabrikant_1_1,int1)
    & sort(fabrikant_1_1,io)
    & sort(fabrikant_1_1,d)
    & sort(automobil_1_1,tq)
    & varia(autobauer_1_1,varia_c)
    & refer(autobauer_1_1,refer_c)
    & quant(autobauer_1_1,one)
    & gener(autobauer_1_1,ge)
    & fact(autobauer_1_1,real)
    & etype(autobauer_1_1,int0)
    & card(autobauer_1_1,int1)
    & sort(autobauer_1_1,io)
    & sort(autobauer_1_1,d)
    & val(c87,bmw_0)
    & sub(c87,name_1_1)
    & sub(c86,firma_1_1)
    & attr(c86,c87)
    & val(c5,c1)
    & sub(c5,jahr__1_1)
    & attr(c4,c5)
    & temp(c3,c4)
    & subs(c3,n374bernehmen_1_1)
    & obj(c3,c103)
    & agt(c3,c86)
    & val(c104,rover_0)
    & sub(c104,name_1_1)
    & sub(c103,autobauer_1_1)
    & prop(c103,britisch__1_1)
    & attr(c103,c104)
    & sub(autobauer_1_1,fabrikant_1_1)
    & assoc(autobauer_1_1,automobil_1_1) ),
    file('theBenchmark.p',ave07_era5_synth_qa07_007_mira_wp_475_a19984) ).

fof(f_20_1,plain,
    ! [X0,X1] :
      ( has_card_leq(X0,X1)
      | ~ card(X0,X1) ),
    inference(fof_nnf,[status(thm)],[has_card_eq]) ).

fof(f_20_2,plain,
    ! [U_26,U_25] :
      ( has_card_leq(U_26,U_25)
      | ~ card(U_26,U_25) ),
    inference(variable_rename,[status(thm)],[f_20_1]) ).

cnf(f_20_3,plain,
    ( has_card_leq(U_26,U_25)
    | ~ card(U_26,U_25) ),
    inference(clausify,[status(thm)],[f_20_2]) ).

fof(f_10188_1,negated_conjecture,
    ~ ? [X0,X1,X2,X3,X4,X5,X6] :
        ( val(X5,X6)
        & val(X1,bmw_0)
        & temp(X3,X4)
        & subs(X3,n374bernehmen_1_1)
        & sub(X5,jahr__1_1)
        & sub(X1,name_1_1)
        & sub(X0,firma_1_1)
        & has_card_leq(X6,int1994)
        & attr(X4,X5)
        & attr(X2,X1)
        & agt(X3,X2) ),
    inference(negate,[status(cth)],[synth_qa07_007_mira_wp_475_a19984]) ).

fof(f_10188_2,negated_conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ val(X5,X6)
      | ~ val(X1,bmw_0)
      | ~ temp(X3,X4)
      | ~ subs(X3,n374bernehmen_1_1)
      | ~ sub(X5,jahr__1_1)
      | ~ sub(X1,name_1_1)
      | ~ sub(X0,firma_1_1)
      | ~ has_card_leq(X6,int1994)
      | ~ attr(X4,X5)
      | ~ attr(X2,X1)
      | ~ agt(X3,X2) ),
    inference(fof_nnf,[status(thm)],[f_10188_1]) ).

fof(f_10188_3,negated_conjecture,
    ! [U_478,U_477,U_476,U_475,U_474,U_473,U_472] :
      ( ~ val(U_473,U_472)
      | ~ val(U_477,bmw_0)
      | ~ temp(U_475,U_474)
      | ~ subs(U_475,n374bernehmen_1_1)
      | ~ sub(U_473,jahr__1_1)
      | ~ sub(U_477,name_1_1)
      | ~ sub(U_478,firma_1_1)
      | ~ has_card_leq(U_472,int1994)
      | ~ attr(U_474,U_473)
      | ~ attr(U_476,U_477)
      | ~ agt(U_475,U_476) ),
    inference(variable_rename,[status(thm)],[f_10188_2]) ).

fof(f_10188_4,negated_conjecture,
    ( ! [U_478] : ~ sub(U_478,firma_1_1)
    | ! [U_477] :
        ( ! [U_476] :
            ( ! [U_475] :
                ( ! [U_474] :
                    ( ! [U_473] :
                        ( ! [U_472] :
                            ( ~ val(U_473,U_472)
                            | ~ has_card_leq(U_472,int1994) )
                        | ~ sub(U_473,jahr__1_1)
                        | ~ attr(U_474,U_473) )
                    | ~ temp(U_475,U_474) )
                | ~ subs(U_475,n374bernehmen_1_1)
                | ~ agt(U_475,U_476) )
            | ~ attr(U_476,U_477) )
        | ~ val(U_477,bmw_0)
        | ~ sub(U_477,name_1_1) ) ),
    inference(miniscope,[status(thm)],[f_10188_3]) ).

fof(f_10188_5,negated_conjecture,
    ! [U_473,U_472,U_474,U_475,U_476,U_477,U_478] :
      ( ~ sub(U_478,firma_1_1)
      | ~ val(U_473,U_472)
      | ~ has_card_leq(U_472,int1994)
      | ~ sub(U_473,jahr__1_1)
      | ~ attr(U_474,U_473)
      | ~ temp(U_475,U_474)
      | ~ subs(U_475,n374bernehmen_1_1)
      | ~ agt(U_475,U_476)
      | ~ attr(U_476,U_477)
      | ~ val(U_477,bmw_0)
      | ~ sub(U_477,name_1_1) ),
    inference(definitional_conversion,[status(esa)],[f_10188_4]) ).

cnf(f_10188_6,negated_conjecture,
    ( ~ sub(U_478,firma_1_1)
    | ~ val(U_473,U_472)
    | ~ has_card_leq(U_472,int1994)
    | ~ sub(U_473,jahr__1_1)
    | ~ attr(U_474,U_473)
    | ~ temp(U_475,U_474)
    | ~ subs(U_475,n374bernehmen_1_1)
    | ~ agt(U_475,U_476)
    | ~ attr(U_476,U_477)
    | ~ val(U_477,bmw_0)
    | ~ sub(U_477,name_1_1) ),
    inference(clausify,[status(thm)],[f_10188_5]) ).

fof(f_10189_1,plain,
    ( sort(bmw_0,fe)
    & varia(firma_1_1,varia_c)
    & refer(firma_1_1,refer_c)
    & quant(firma_1_1,one)
    & gener(firma_1_1,ge)
    & fact(firma_1_1,real)
    & etype(firma_1_1,int0)
    & card(firma_1_1,int1)
    & sort(firma_1_1,io)
    & sort(firma_1_1,d)
    & varia(c87,varia_c)
    & refer(c87,indet)
    & quant(c87,one)
    & gener(c87,sp)
    & fact(c87,real)
    & etype(c87,int0)
    & card(c87,int1)
    & sort(c87,na)
    & card(c1,int1994)
    & sort(c1,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(c5,varia_c)
    & refer(c5,refer_c)
    & quant(c5,quant_c)
    & gener(c5,sp)
    & fact(c5,real)
    & etype(c5,etype_c)
    & card(c5,card_c)
    & sort(c5,ta)
    & sort(c5,oa)
    & sort(c5,me)
    & varia(c4,con)
    & refer(c4,det)
    & quant(c4,one)
    & gener(c4,sp)
    & fact(c4,real)
    & etype(c4,int0)
    & card(c4,int1)
    & sort(c4,t)
    & gener(n374bernehmen_1_1,ge)
    & fact(n374bernehmen_1_1,real)
    & sort(n374bernehmen_1_1,da)
    & varia(c86,con)
    & refer(c86,det)
    & quant(c86,one)
    & gener(c86,sp)
    & fact(c86,real)
    & etype(c86,int0)
    & card(c86,int1)
    & sort(c86,io)
    & sort(c86,d)
    & gener(c3,sp)
    & fact(c3,real)
    & sort(c3,da)
    & sort(rover_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)
    & sort(britisch__1_1,nq)
    & varia(c104,varia_c)
    & refer(c104,indet)
    & quant(c104,one)
    & gener(c104,sp)
    & fact(c104,real)
    & etype(c104,int0)
    & card(c104,int1)
    & sort(c104,na)
    & varia(c103,con)
    & refer(c103,det)
    & quant(c103,one)
    & gener(c103,sp)
    & fact(c103,real)
    & etype(c103,int0)
    & card(c103,int1)
    & sort(c103,io)
    & sort(c103,d)
    & varia(fabrikant_1_1,varia_c)
    & refer(fabrikant_1_1,refer_c)
    & quant(fabrikant_1_1,one)
    & gener(fabrikant_1_1,ge)
    & fact(fabrikant_1_1,real)
    & etype(fabrikant_1_1,int0)
    & card(fabrikant_1_1,int1)
    & sort(fabrikant_1_1,io)
    & sort(fabrikant_1_1,d)
    & sort(automobil_1_1,tq)
    & varia(autobauer_1_1,varia_c)
    & refer(autobauer_1_1,refer_c)
    & quant(autobauer_1_1,one)
    & gener(autobauer_1_1,ge)
    & fact(autobauer_1_1,real)
    & etype(autobauer_1_1,int0)
    & card(autobauer_1_1,int1)
    & sort(autobauer_1_1,io)
    & sort(autobauer_1_1,d)
    & val(c87,bmw_0)
    & sub(c87,name_1_1)
    & sub(c86,firma_1_1)
    & attr(c86,c87)
    & val(c5,c1)
    & sub(c5,jahr__1_1)
    & attr(c4,c5)
    & temp(c3,c4)
    & subs(c3,n374bernehmen_1_1)
    & obj(c3,c103)
    & agt(c3,c86)
    & val(c104,rover_0)
    & sub(c104,name_1_1)
    & sub(c103,autobauer_1_1)
    & prop(c103,britisch__1_1)
    & attr(c103,c104)
    & sub(autobauer_1_1,fabrikant_1_1)
    & assoc(autobauer_1_1,automobil_1_1) ),
    inference(fof_nnf,[status(thm)],[ave07_era5_synth_qa07_007_mira_wp_475_a19984]) ).

cnf(f_10189_9,plain,
    agt(c3,c86),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(f_10189_11,plain,
    subs(c3,n374bernehmen_1_1),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(f_10189_12,plain,
    temp(c3,c4),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(f_10189_13,plain,
    attr(c4,c5),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(f_10189_14,plain,
    sub(c5,jahr__1_1),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(f_10189_15,plain,
    val(c5,c1),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(f_10189_16,plain,
    attr(c86,c87),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(f_10189_17,plain,
    sub(c86,firma_1_1),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(f_10189_18,plain,
    sub(c87,name_1_1),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(f_10189_19,plain,
    val(c87,bmw_0),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(f_10189_110,plain,
    card(c1,int1994),
    inference(clausify,[status(thm)],[f_10189_1]) ).

cnf(t1,plain,
    ( ~ val(c87,bmw_0)
    | ~ attr(c86,c87)
    | ~ agt(c3,c86)
    | ~ subs(c3,n374bernehmen_1_1)
    | ~ temp(c3,c4)
    | ~ attr(c4,c5)
    | ~ sub(c5,jahr__1_1)
    | ~ has_card_leq(c1,int1994)
    | ~ val(c5,c1)
    | ~ sub(c86,firma_1_1)
    | ~ sub(c87,name_1_1) ),
    inference(start,[status(thm),parent(0:0)],[f_10188_6]) ).

cnf(t2,plain,
    sub(c87,name_1_1),
    inference(extension,[status(thm),parent(t1:1)],[f_10189_18]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    sub(c86,firma_1_1),
    inference(extension,[status(thm),parent(t1:2)],[f_10189_17]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).

cnf(t6,plain,
    val(c5,c1),
    inference(extension,[status(thm),parent(t1:3)],[f_10189_15]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:3]) ).

cnf(t8,plain,
    ( ~ card(c1,int1994)
    | has_card_leq(c1,int1994) ),
    inference(extension,[status(thm),parent(t1:4)],[f_20_3]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:4]) ).

cnf(t10,plain,
    card(c1,int1994),
    inference(extension,[status(thm),parent(t8:2)],[f_10189_110]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    sub(c5,jahr__1_1),
    inference(extension,[status(thm),parent(t1:5)],[f_10189_14]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t1:5]) ).

cnf(t14,plain,
    attr(c4,c5),
    inference(extension,[status(thm),parent(t1:6)],[f_10189_13]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t1:6]) ).

cnf(t16,plain,
    temp(c3,c4),
    inference(extension,[status(thm),parent(t1:7)],[f_10189_12]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t1:7]) ).

cnf(t18,plain,
    subs(c3,n374bernehmen_1_1),
    inference(extension,[status(thm),parent(t1:8)],[f_10189_11]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t1:8]) ).

cnf(t20,plain,
    agt(c3,c86),
    inference(extension,[status(thm),parent(t1:9)],[f_10189_9]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t1:9]) ).

cnf(t22,plain,
    attr(c86,c87),
    inference(extension,[status(thm),parent(t1:10)],[f_10189_16]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t1:10]) ).

cnf(t24,plain,
    val(c87,bmw_0),
    inference(extension,[status(thm),parent(t1:11)],[f_10189_19]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t1:11]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR115+66 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.37  % Computer : n008.cluster.edu
% 0.09/15.37  % Model    : x86_64 x86_64
% 0.09/15.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.37  % Memory   : 8046.5625MB
% 0.09/15.37  % OS       : Linux 6.8.0-71-generic
% 0.09/15.38  % CPULimit : 300
% 0.09/15.38  % WCLimit  : 300
% 0.09/15.38  % DateTime : Sun Sep 20 17:21:55 UTC 2026
% 0.09/15.38  % CPUTime  : 
% 4.15/19.45  % SZS status Theorem for theBenchmark
% 4.15/19.45  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------