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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR045+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n007.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 : Sun Sep 27 07:06:49 AM UTC 2026

% Result   : Theorem 0.09s 0.40s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   27 (  13 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   28 (  14   ~;   7   |;   1   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (   2 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just3,axiom,
    ! [OBJ] :
      ( microtheory(OBJ)
     => aspatialinformationstore(OBJ) ),
    file('theBenchmark.p',just3) ).

fof(just6,axiom,
    ! [OBJ] :
      ( intangibleindividual(OBJ)
     => partiallyintangibleindividual(OBJ) ),
    file('theBenchmark.p',just6) ).

fof(just8,axiom,
    ! [OBJ] :
      ( aspatialinformationstore(OBJ)
     => intangibleindividual(OBJ) ),
    file('theBenchmark.p',just8) ).

fof(just10,axiom,
    ! [OBJ] :
      ( partiallyintangibleindividual(OBJ)
     => individual(OBJ) ),
    file('theBenchmark.p',just10) ).

fof(just14,axiom,
    ! [OBJ] :
      ( applicationcontext(OBJ)
     => microtheory(OBJ) ),
    file('theBenchmark.p',just14) ).

fof(just15,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & collection(OBJ) ),
    file('theBenchmark.p',just15) ).

fof(just20,axiom,
    ! [ARG1,ARG2] :
      ( genls(ARG1,ARG2)
     => collection(ARG1) ),
    file('theBenchmark.p',just20) ).

fof(query45,conjecture,
    ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
    file('theBenchmark.p',query45) ).

fof(query45_neg,negated_conjecture,
    ~ ~ genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
    inference(assume_negation,[status(cth)],[query45]) ).

cnf(c_71,plain,
    ( microtheory(A)
    | ~ applicationcontext(A) ),
    inference(clausify,[status(thm)],[just14]) ).

fof(just1,axiom,
    applicationcontext(c_wamt_evalinitial_p14),
    file('theBenchmark.p',just1) ).

cnf(c_72,plain,
    applicationcontext(c_wamt_evalinitial_p14),
    inference(clausify,[status(thm)],[just1]) ).

cnf(c_76,plain,
    microtheory(c_wamt_evalinitial_p14),
    inference(resolve,[status(thm)],[c_71,c_72]) ).

cnf(c_85,plain,
    ( aspatialinformationstore(A)
    | ~ microtheory(A) ),
    inference(clausify,[status(thm)],[just3]) ).

cnf(c_86,plain,
    ( intangibleindividual(A)
    | ~ aspatialinformationstore(A) ),
    inference(clausify,[status(thm)],[just8]) ).

cnf(c_90,plain,
    aspatialinformationstore(c_wamt_evalinitial_p14),
    inference(resolve,[status(thm)],[c_85,c_76]) ).

cnf(c_98,plain,
    intangibleindividual(c_wamt_evalinitial_p14),
    inference(resolve,[status(thm)],[c_86,c_90]) ).

cnf(c_102,plain,
    ( partiallyintangibleindividual(A)
    | ~ intangibleindividual(A) ),
    inference(clausify,[status(thm)],[just6]) ).

cnf(c_103,plain,
    ( individual(A)
    | ~ partiallyintangibleindividual(A) ),
    inference(clausify,[status(thm)],[just10]) ).

cnf(c_108,plain,
    partiallyintangibleindividual(c_wamt_evalinitial_p14),
    inference(resolve,[status(thm)],[c_102,c_98]) ).

cnf(c_118,plain,
    individual(c_wamt_evalinitial_p14),
    inference(resolve,[status(thm)],[c_103,c_108]) ).

cnf(c_123,plain,
    ( ~ individual(A)
    | ~ collection(A) ),
    inference(clausify,[status(thm)],[just15]) ).

cnf(c_140,plain,
    ( collection(A)
    | ~ genls(A,B) ),
    inference(clausify,[status(thm)],[just20]) ).

cnf(c_146,plain,
    ~ collection(c_wamt_evalinitial_p14),
    inference(resolve,[status(thm)],[c_123,c_118]) ).

cnf(c_185,plain,
    ~ genls(c_wamt_evalinitial_p14,A),
    inference(resolve,[status(thm)],[c_146,c_140]) ).

cnf(c_283,negated_conjecture,
    genls(c_wamt_evalinitial_p14,c_tptpcol_15_80088),
    inference(clausify,[status(thm)],[query45_neg]) ).

cnf(c_284,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_185,c_283]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR045+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n007.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 : Sun Sep 27 00:11:54 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36  % Process 804799 was started by sandbox2 on n007,
% 0.09/0.36  % Sun Sep 27 00:11:54 2026
% 0.09/0.36  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.38  
% 0.09/0.38  % From the command line: assign(max_seconds, 300).
% 0.09/0.40  
% 0.09/0.40  % SZS status Theorem for theBenchmark
% 0.09/0.40  
% 0.09/0.40  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.09/0.40  % Length of proof is 25.
% 0.09/0.40  % Level of proof is 9.
% 0.09/0.40  % Maximum clause weight is 8.000.
% 0.09/0.40  % Given clauses 0.
% 0.09/0.40  
% 0.09/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------