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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : MGT117+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n026.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 : Tue Sep  8 06:03:09 AM UTC 2026

% Result   : Theorem 3.73s 2.40s
% Output   : CNFRefutation 3.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :  140 (   0 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  208 ( 100   ~;  89   |;  18   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-6 aty)
%            Number of variables   :   65 (  60   !;   5   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ founds_imm > cnt > tgt > part_of > bearer > aer > aee > activates > act > target > strong > rule > perm > immunity > event > disability > agent > action > #nlpp > read > p1 > museum_api > museen > e1 > bibliothek > #skF_2 > #skF_1 > #skF_3

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(aee,type,
    aee: ( $i * $i ) > $o ).

tff(e1,type,
    e1: $i ).

tff(bearer,type,
    bearer: ( $i * $i ) > $o ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(museen,type,
    museen: $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(founds_imm,type,
    founds_imm: ( $i * $i * $i ) > $o ).

tff(rule,type,
    rule: $i > $o ).

tff(p1,type,
    p1: $i ).

tff(read,type,
    read: $i ).

tff(aer,type,
    aer: ( $i * $i ) > $o ).

tff(bibliothek,type,
    bibliothek: $i ).

tff(part_of,type,
    part_of: ( $i * $i ) > $o ).

tff(cnt,type,
    cnt: ( $i * $i * $i ) > $o ).

tff(perm,type,
    perm: $i > $o ).

tff(strong,type,
    strong: $i > $o ).

tff(museum_api,type,
    museum_api: $i ).

tff(agent,type,
    agent: $i > $o ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(disability,type,
    disability: $i > $o ).

tff(event,type,
    event: $i > $o ).

tff(target,type,
    target: $i > $o ).

tff(activates,type,
    activates: ( $i * $i ) > $o ).

tff(tgt,type,
    tgt: ( $i * $i ) > $o ).

tff(act,type,
    act: ( $i * $i ) > $o ).

tff(action,type,
    action: $i > $o ).

tff(immunity,type,
    immunity: $i > $o ).

tff(f_68,axiom,
    perm(p1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',perm_p1) ).

tff(f_69,axiom,
    strong(p1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_p1) ).

tff(f_71,axiom,
    aer(p1,museen),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aer_p1) ).

tff(f_72,axiom,
    act(p1,read),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_p1) ).

tff(f_73,axiom,
    tgt(p1,museum_api),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tgt_p1) ).

tff(f_74,axiom,
    activates(e1,p1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_e1_p1) ).

tff(f_60,axiom,
    ! [P,X,Y,A,T,E] :
      ( ( perm(P)
        & strong(P)
        & aee(P,X)
        & aer(P,Y)
        & act(P,A)
        & tgt(P,T)
        & activates(E,P) )
     => ? [RhoI,Im,Db] :
          ( founds_imm(E,RhoI,P)
          & immunity(Im)
          & bearer(Im,X)
          & cnt(Im,A,T)
          & part_of(Im,RhoI)
          & disability(Db)
          & bearer(Db,Y)
          & cnt(Db,A,T)
          & part_of(Db,RhoI) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_perm_relator_strong) ).

tff(f_85,negated_conjecture,
    ~ ? [RhoI,Db] :
        ( founds_imm(e1,RhoI,p1)
        & disability(Db)
        & bearer(Db,museen)
        & cnt(Db,read,museum_api)
        & part_of(Db,RhoI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).

tff(f_70,axiom,
    aee(p1,bibliothek),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aee_p1) ).

tff(c_32,plain,
    perm(p1),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_34,plain,
    strong(p1),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_38,plain,
    aer(p1,museen),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_40,plain,
    act(p1,read),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_42,plain,
    tgt(p1,museum_api),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_44,plain,
    activates(e1,p1),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_8,plain,
    ! [Y_3,A_4,P_1,X_2,E_6,T_5] :
      ( disability('#skF_3'(P_1,X_2,Y_3,E_6,T_5,A_4))
      | ~ activates(E_6,P_1)
      | ~ tgt(P_1,T_5)
      | ~ act(P_1,A_4)
      | ~ aer(P_1,Y_3)
      | ~ aee(P_1,X_2)
      | ~ strong(P_1)
      | ~ perm(P_1) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_6,plain,
    ! [Y_3,A_4,P_1,X_2,E_6,T_5] :
      ( bearer('#skF_3'(P_1,X_2,Y_3,E_6,T_5,A_4),Y_3)
      | ~ activates(E_6,P_1)
      | ~ tgt(P_1,T_5)
      | ~ act(P_1,A_4)
      | ~ aer(P_1,Y_3)
      | ~ aee(P_1,X_2)
      | ~ strong(P_1)
      | ~ perm(P_1) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_4,plain,
    ! [Y_3,A_4,P_1,X_2,E_6,T_5] :
      ( cnt('#skF_3'(P_1,X_2,Y_3,E_6,T_5,A_4),A_4,T_5)
      | ~ activates(E_6,P_1)
      | ~ tgt(P_1,T_5)
      | ~ act(P_1,A_4)
      | ~ aer(P_1,Y_3)
      | ~ aee(P_1,X_2)
      | ~ strong(P_1)
      | ~ perm(P_1) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_18,plain,
    ! [Y_3,A_4,P_1,X_2,E_6,T_5] :
      ( founds_imm(E_6,'#skF_1'(P_1,X_2,Y_3,E_6,T_5,A_4),P_1)
      | ~ activates(E_6,P_1)
      | ~ tgt(P_1,T_5)
      | ~ act(P_1,A_4)
      | ~ aer(P_1,Y_3)
      | ~ aee(P_1,X_2)
      | ~ strong(P_1)
      | ~ perm(P_1) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_55,plain,
    ! [Y_58,A_61,E_59,T_60,X_57,P_56] :
      ( part_of('#skF_3'(P_56,X_57,Y_58,E_59,T_60,A_61),'#skF_1'(P_56,X_57,Y_58,E_59,T_60,A_61))
      | ~ activates(E_59,P_56)
      | ~ tgt(P_56,T_60)
      | ~ act(P_56,A_61)
      | ~ aer(P_56,Y_58)
      | ~ aee(P_56,X_57)
      | ~ strong(P_56)
      | ~ perm(P_56) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_46,plain,
    ! [Db_11,RhoI_10] :
      ( ~ part_of(Db_11,RhoI_10)
      | ~ cnt(Db_11,read,museum_api)
      | ~ bearer(Db_11,museen)
      | ~ disability(Db_11)
      | ~ founds_imm(e1,RhoI_10,p1) ),
    inference(cnfTransformation,[status(thm)],[f_85]) ).

tff(c_63,plain,
    ! [Y_71,E_73,A_72,P_70,T_68,X_69] :
      ( ~ cnt('#skF_3'(P_70,X_69,Y_71,E_73,T_68,A_72),read,museum_api)
      | ~ bearer('#skF_3'(P_70,X_69,Y_71,E_73,T_68,A_72),museen)
      | ~ disability('#skF_3'(P_70,X_69,Y_71,E_73,T_68,A_72))
      | ~ founds_imm(e1,'#skF_1'(P_70,X_69,Y_71,E_73,T_68,A_72),p1)
      | ~ activates(E_73,P_70)
      | ~ tgt(P_70,T_68)
      | ~ act(P_70,A_72)
      | ~ aer(P_70,Y_71)
      | ~ aee(P_70,X_69)
      | ~ strong(P_70)
      | ~ perm(P_70) ),
    inference(resolution,[status(thm)],[c_55,c_46]) ).

tff(c_67,plain,
    ! [X_2,Y_3,T_5,A_4] :
      ( ~ cnt('#skF_3'(p1,X_2,Y_3,e1,T_5,A_4),read,museum_api)
      | ~ bearer('#skF_3'(p1,X_2,Y_3,e1,T_5,A_4),museen)
      | ~ disability('#skF_3'(p1,X_2,Y_3,e1,T_5,A_4))
      | ~ activates(e1,p1)
      | ~ tgt(p1,T_5)
      | ~ act(p1,A_4)
      | ~ aer(p1,Y_3)
      | ~ aee(p1,X_2)
      | ~ strong(p1)
      | ~ perm(p1) ),
    inference(resolution,[status(thm)],[c_18,c_63]) ).

tff(c_71,plain,
    ! [X_74,Y_75,T_76,A_77] :
      ( ~ cnt('#skF_3'(p1,X_74,Y_75,e1,T_76,A_77),read,museum_api)
      | ~ bearer('#skF_3'(p1,X_74,Y_75,e1,T_76,A_77),museen)
      | ~ disability('#skF_3'(p1,X_74,Y_75,e1,T_76,A_77))
      | ~ tgt(p1,T_76)
      | ~ act(p1,A_77)
      | ~ aer(p1,Y_75)
      | ~ aee(p1,X_74) ),
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_34,c_44,c_67]) ).

tff(c_75,plain,
    ! [X_2,Y_3] :
      ( ~ bearer('#skF_3'(p1,X_2,Y_3,e1,museum_api,read),museen)
      | ~ disability('#skF_3'(p1,X_2,Y_3,e1,museum_api,read))
      | ~ activates(e1,p1)
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ aer(p1,Y_3)
      | ~ aee(p1,X_2)
      | ~ strong(p1)
      | ~ perm(p1) ),
    inference(resolution,[status(thm)],[c_4,c_71]) ).

tff(c_87,plain,
    ! [X_84,Y_85] :
      ( ~ bearer('#skF_3'(p1,X_84,Y_85,e1,museum_api,read),museen)
      | ~ disability('#skF_3'(p1,X_84,Y_85,e1,museum_api,read))
      | ~ aer(p1,Y_85)
      | ~ aee(p1,X_84) ),
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_34,c_40,c_42,c_44,c_75]) ).

tff(c_91,plain,
    ! [X_2] :
      ( ~ disability('#skF_3'(p1,X_2,museen,e1,museum_api,read))
      | ~ activates(e1,p1)
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ aer(p1,museen)
      | ~ aee(p1,X_2)
      | ~ strong(p1)
      | ~ perm(p1) ),
    inference(resolution,[status(thm)],[c_6,c_87]) ).

tff(c_95,plain,
    ! [X_86] :
      ( ~ disability('#skF_3'(p1,X_86,museen,e1,museum_api,read))
      | ~ aee(p1,X_86) ),
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_34,c_38,c_40,c_42,c_44,c_91]) ).

tff(c_99,plain,
    ! [X_2] :
      ( ~ activates(e1,p1)
      | ~ tgt(p1,museum_api)
      | ~ act(p1,read)
      | ~ aer(p1,museen)
      | ~ aee(p1,X_2)
      | ~ strong(p1)
      | ~ perm(p1) ),
    inference(resolution,[status(thm)],[c_8,c_95]) ).

tff(c_102,plain,
    ! [X_2] : ~ aee(p1,X_2),
    inference(demodulation,[status(thm),theory(equality)],[c_32,c_34,c_38,c_40,c_42,c_44,c_99]) ).

tff(c_36,plain,
    aee(p1,bibliothek),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_104,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_102,c_36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT117+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.04  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.08/0.35  % Computer : n026.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep  7 14:12:12 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 3.73/2.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.73/2.41  
% 3.73/2.41  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------