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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : MGT116+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 : n019.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 2.03s 1.26s
% Output   : CNFRefutation 2.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   24 (  11   ~;   9   |;   3   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 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  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   15 (  15   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ founds_rem > cnt > part_of > about_event > target > subjection > rule > position > legal_relator > event > action > #nlpp > decl > some_target > some_action > s > rho_r > f1 > e1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(e1,type,
    e1: $i ).

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

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

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

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

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

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

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

tff(f1,type,
    f1: $i ).

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

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

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

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

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

tff(decl,type,
    decl: $i > $i ).

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

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

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

tff(f_50,negated_conjecture,
    ~ about_event(s,e1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).

tff(f_45,axiom,
    subjection(s),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subj_s) ).

tff(f_47,axiom,
    part_of(s,rho_r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partof_s) ).

tff(f_46,axiom,
    cnt(s,decl(some_action),some_target),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_s) ).

tff(f_48,axiom,
    founds_rem(e1,rho_r,f1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',founds_rem1) ).

tff(f_37,axiom,
    ! [S,A,T,Rho,E,R] :
      ( ( subjection(S)
        & cnt(S,decl(A),T)
        & part_of(S,Rho)
        & founds_rem(E,Rho,R) )
     => about_event(S,E) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_B3) ).

tff(c_24,plain,
    ~ about_event(s,e1),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_16,plain,
    subjection(s),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_20,plain,
    part_of(s,rho_r),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_18,plain,
    cnt(s,decl(some_action),some_target),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_22,plain,
    founds_rem(e1,rho_r,f1),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_25,plain,
    ! [T_12,E_8,Rho_11,R_10,S_7,A_9] :
      ( about_event(S_7,E_8)
      | ~ founds_rem(E_8,Rho_11,R_10)
      | ~ part_of(S_7,Rho_11)
      | ~ cnt(S_7,decl(A_9),T_12)
      | ~ subjection(S_7) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_29,plain,
    ! [S_13,A_14,T_15] :
      ( about_event(S_13,e1)
      | ~ part_of(S_13,rho_r)
      | ~ cnt(S_13,decl(A_14),T_15)
      | ~ subjection(S_13) ),
    inference(resolution,[status(thm)],[c_22,c_25]) ).

tff(c_32,plain,
    ( about_event(s,e1)
    | ~ part_of(s,rho_r)
    | ~ subjection(s) ),
    inference(resolution,[status(thm)],[c_18,c_29]) ).

tff(c_35,plain,
    about_event(s,e1),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_20,c_32]) ).

tff(c_37,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_24,c_35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT116+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
% 0.11/0.36  % Computer : n019.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep  7 14:09:37 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 2.03/1.26  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.03/1.26  
% 2.03/1.26  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------