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LisaTT---0.9.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : LisaTT---0.9.1
% Problem  : MGT115+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -cp /export/starexec/sandbox2/solver/bin/lisa-assembly-0.9.jar TPTP_Lisa tableau --input /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n029.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 : Wed Apr 29 02:09:06 PM UTC 2026

% Result   : Theorem 1.71s 1.15s
% Output   : Proof 1.71s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(issue_injective,axiom,
    ! [A,B] :
      ( issue(A) = issue(B)
     => A = B ) ).

fof(rule_pi1,axiom,
    rule(pi1) ).

fof(rule_pi2,axiom,
    rule(pi2) ).

fof(pi1_neq_pi2,axiom,
    pi1 != pi2 ).

fof(s0,plain,
    ( [ issue(pi2) = issue(pi1),issue(pi2) != issue(pi1) ]
  --> [  ] ),
    inference(restate_true,[status(thm)],[]) ).

fof(s1,plain,
    ( [ pi2 = pi1,pi2 != pi1 ]
  --> [  ] ),
    inference(restate_true,[status(thm)],[]) ).

fof(s2,plain,
    ( [  issue(pi2) = issue(pi1),pi2 != pi1,
        ( issue(pi2) != issue(pi1)
        | pi2 = pi1 )  ]
  --> [  ] ),
    inference(left_or,[status(thm)],[s0,s1]) ).

fof(s3,plain,
    ( [  issue(pi2) = issue(pi1),pi2 != pi1,
        ! [B] :
          ( issue(B) != issue(pi1)
          | B = pi1 )  ]
  --> [  ] ),
    inference(left_forall,[status(thm)],[s2]) ).

fof(s4,plain,
    ( [  issue(pi2) = issue(pi1),pi2 != pi1,
        ! [A,B] :
          ( issue(B) != issue(A)
          | B = A )  ]
  --> [  ] ),
    inference(left_forall,[status(thm)],[s3]) ).

fof(s5,plain,
    ( [  issue(pi2) = issue(pi1),
        ! [A,B] :
          ( issue(B) != issue(A)
          | B = A ),
        ( pi2 != pi1
        & rule(pi1) )  ]
  --> [  ] ),
    inference(weakening,[status(thm)],[s4]) ).

fof(s6,plain,
    ( [  issue(pi2) = issue(pi1),
        ( pi2 != pi1
        & rule(pi1)
        & ! [A,B] :
            ( issue(B) != issue(A)
            | B = A ) )  ]
  --> [  ] ),
    inference(weakening,[status(thm)],[s5]) ).

fof(s7,plain,
    ( [  issue(pi2) = issue(pi1),
        ( pi2 != pi1
        & rule(pi1)
        & ! [A,B] :
            ( issue(B) != issue(A)
            | B = A )
        & rule(pi2) )  ]
  --> [  ] ),
    inference(weakening,[status(thm)],[s6]) ).

fof(s8,plain,
    ( [  ( pi2 != pi1
        & rule(pi1)
        & ! [A,B] :
            ( issue(B) != issue(A)
            | B = A )
        & rule(pi2)
        & issue(pi2) = issue(pi1) )  ]
  --> [  ] ),
    inference(weakening,[status(thm)],[s7]) ).

fof(s9,plain,
    ( [  ( pi2 != pi1
        & rule(pi1)
        & ! [A,B] :
            ( issue(B) != issue(A)
            | B = A )
        & rule(pi2)
        & issue(pi2) = issue(pi1) )  ]
  --> [  ] ),
    inference(weakening,[status(thm)],[s8]) ).

fof(s10,plain,
    ( [  ! [A,B] :
          ( issue(A) = issue(B)
         => A = B ),
        rule(pi1),rule(pi2),pi1 != pi2  ]
  --> [ issue(pi1) != issue(pi2) ] ),
    inference(restate,[status(thm)],[s9]) ).

fof(final,theorem,
    issue(pi1) != issue(pi2),
    inference(big_cut,[status(thm)],[issue_injective,rule_pi1,rule_pi2,pi1_neq_pi2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : MGT115+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12  % Command  : java -cp /export/starexec/sandbox2/solver/bin/lisa-assembly-0.9.jar TPTP_Lisa tableau --input /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.33  % Computer : n029.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue Apr 28 19:31:59 EDT 2026
% 0.15/0.33  % CPUTime  : 
% 1.71/1.15  % SZS status Theorem
% 1.71/1.17  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------