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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR032+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n015.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 01:05:18 PM UTC 2026

% Result   : Theorem 3.09s 0.87s
% Output   : Proof 3.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (  13 unt;   0 def)
%            Number of atoms       :   41 (   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    :    8 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :   23 (   2 sgn  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,axiom,
    ! [X] :
      ( individual(X)
     => isa(X,c_individual) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).

fof(f56_nnf,plain,
    ! [X] :
      ( isa(X,c_individual)
      | ~ individual(X) ),
    inference(nnf_transformation,[status(thm)],[f56]) ).

fof(f56_sk,plain,
    ! [X] :
      ( isa(X,c_individual)
      | ~ individual(X) ),
    inference(skolemisation,[status(esa)],[f56_nnf]) ).

cnf(c56,plain,
    ( isa(X0,c_individual)
    | ~ individual(X0) ),
    inference(cnf_transformation,[status(esa)],[f56_sk]) ).

cnf(hi55,axiom,
    ifeq(individual(X0),true,isa(X0,c_individual),true) = true,
    inference(equality_encoding,[status(esa)],[c56]) ).

fof(f0,axiom,
    individual(f_citynamedfn(s_agen,c_france)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

fof(f0_nnf,plain,
    individual(f_citynamedfn(s_agen,c_france)),
    inference(nnf_transformation,[status(thm)],[f0]) ).

cnf(c0,plain,
    individual(f_citynamedfn(s_agen,c_france)),
    inference(cnf_transformation,[status(esa)],[f0_nnf]) ).

cnf(hi0,axiom,
    individual(f_citynamedfn(s_agen,c_france)) = true,
    inference(equality_encoding,[status(esa)],[c0]) ).

cnf(h1,plain,
    isa(f_citynamedfn(s_agen,c_france),c_individual) = true,
    inference(hyper_resolution,[status(thm)],[hi55,hi0]) ).

fof(f67,conjecture,
    ? [COL] :
      ( mtvisible(c_reasoningaboutpossibleantecedentsmt)
     => isa(f_citynamedfn(s_agen,c_france),COL) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query32) ).

fof(f67_neg,negated_conjecture,
    ~ ? [COL] :
        ( mtvisible(c_reasoningaboutpossibleantecedentsmt)
       => isa(f_citynamedfn(s_agen,c_france),COL) ),
    inference(negated_conjecture,[status(cth)],[f67]) ).

fof(f67_nnf,plain,
    ! [COL] :
      ( ~ isa(f_citynamedfn(s_agen,c_france),COL)
      & mtvisible(c_reasoningaboutpossibleantecedentsmt) ),
    inference(nnf_transformation,[status(thm)],[f67_neg]) ).

fof(f67_sk,plain,
    ! [COL] :
      ( ~ isa(f_citynamedfn(s_agen,c_france),COL)
      & mtvisible(c_reasoningaboutpossibleantecedentsmt) ),
    inference(skolemisation,[status(esa)],[f67_nnf]) ).

cnf(c68,plain,
    ~ isa(f_citynamedfn(s_agen,c_france),X0),
    inference(cnf_transformation,[status(esa)],[f67_sk]) ).

cnf(hi68,negated_conjecture,
    ifeq(isa(f_citynamedfn(s_agen,c_france),X0),true,false,true) = true,
    inference(equality_encoding,[status(esa)],[c68]) ).

cnf(t0,plain,
    true = false,
    inference(hyper_resolution,[status(thm)],[hi68,h1]) ).

cnf(t331,plain,
    false = true,
    inference(orient,[status(thm)],[t0]) ).

fof(f11,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

fof(f11_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c11,c68]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t331]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR032+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.38  % Computer : n015.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Fri Sep 25 08:19:28 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.09/0.87  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.09/0.87  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------