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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR054+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% 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 : Fri Sep 25 01:05:32 PM UTC 2026

% Result   : Theorem 4.07s 0.97s
% Output   : Proof 4.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   39 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  19   ~;   9   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-4 aty)
%            Number of variables   :   18 (   2 sgn  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f0,axiom,
    ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
   => tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

fof(f0_nnf,plain,
    ( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(hi0,axiom,
    ifeq(mtvisible(c_currentworlddatacollectormt_nonhomocentric),true,tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170)),true) = true,
    inference(equality_encoding,[status(esa)],[c0]) ).

fof(f39,conjecture,
    ? [X] :
      ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
     => tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query54) ).

fof(f39_neg,negated_conjecture,
    ~ ? [X] :
        ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
       => tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X) ),
    inference(negated_conjecture,[status(cth)],[f39]) ).

fof(f39_nnf,plain,
    ! [X] :
      ( ~ tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X)
      & mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(nnf_transformation,[status(thm)],[f39_neg]) ).

fof(f39_sk,plain,
    ! [X] :
      ( ~ tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X)
      & mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(skolemisation,[status(esa)],[f39_nnf]) ).

cnf(c39,plain,
    mtvisible(c_currentworlddatacollectormt_nonhomocentric),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(hi38,negated_conjecture,
    mtvisible(c_currentworlddatacollectormt_nonhomocentric) = true,
    inference(equality_encoding,[status(esa)],[c39]) ).

cnf(h0,plain,
    tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170)) = true,
    inference(hyper_resolution,[status(thm)],[hi0,hi38]) ).

cnf(c40,plain,
    ~ tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0),
    inference(cnf_transformation,[status(esa)],[f39_sk]) ).

cnf(hi40,negated_conjecture,
    ifeq(tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c40]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi40,h0]) ).

cnf(t80,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f1,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).

fof(f1_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c1,c40]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t80]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR054+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36  % Computer : n026.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep 25 08:41:11 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.07/0.97  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.07/0.97  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------