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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR107+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n002.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 07:07:30 AM UTC 2026

% Result   : Theorem 4.80s 2.31s
% Output   : CNFRefutation 4.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   5   ~;   2   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   3 sgn   1   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_27874,axiom,
    ! [V__INST] :
      ( s__instance(V__INST,s__TimeInterval)
     => s__overlapsTemporally(V__INST,V__INST) ),
    file('theBenchmark.p',kb_SUMO_27874) ).

fof(prove_from_ALL,conjecture,
    ? [X__s__TimeInterval38_1,X__s__TimeInterval38_2] :
      ( s__overlapsTemporally(s__TimeInterval38_3,X__s__TimeInterval38_2)
      & s__overlapsTemporally(s__TimeInterval38_3,X__s__TimeInterval38_1) ),
    file('theBenchmark.p',prove_from_ALL) ).

fof(prove_from_ALL_neg,negated_conjecture,
    ~ ? [X__s__TimeInterval38_1,X__s__TimeInterval38_2] :
        ( s__overlapsTemporally(s__TimeInterval38_3,X__s__TimeInterval38_2)
        & s__overlapsTemporally(s__TimeInterval38_3,X__s__TimeInterval38_1) ),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

cnf(c_612,plain,
    ( s__overlapsTemporally(A,A)
    | ~ s__instance(A,s__TimeInterval) ),
    inference(clausify,[status(thm)],[kb_SUMO_27874]) ).

fof(local_3,axiom,
    s__instance(s__TimeInterval38_3,s__TimeInterval),
    file('theBenchmark.p',local_3) ).

cnf(c_705,plain,
    s__instance(s__TimeInterval38_3,s__TimeInterval),
    inference(clausify,[status(thm)],[local_3]) ).

cnf(c_712,negated_conjecture,
    ( ~ s__overlapsTemporally(s__TimeInterval38_3,B)
    | ~ s__overlapsTemporally(s__TimeInterval38_3,A) ),
    inference(clausify,[status(thm)],[prove_from_ALL_neg]) ).

cnf(c_757,plain,
    ~ s__overlapsTemporally(s__TimeInterval38_3,A),
    inference(factor,[status(thm)],[c_712]) ).

cnf(c_892,plain,
    s__overlapsTemporally(s__TimeInterval38_3,s__TimeInterval38_3),
    inference(resolve,[status(thm)],[c_612,c_705]) ).

cnf(c_891,plain,
    $false,
    inference(resolve,[status(thm)],[c_757,c_892]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR107+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.83  % Computer : n002.cluster.edu
% 0.18/0.83  % Model    : x86_64 x86_64
% 0.18/0.83  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.83  % Memory   : 8046.5625MB
% 0.18/0.83  % OS       : Linux 6.8.0-71-generic
% 0.18/0.83  % CPULimit : 300
% 0.18/0.83  % WCLimit  : 300
% 0.18/0.83  % DateTime : Sun Sep 27 01:02:06 UTC 2026
% 0.18/0.83  % CPUTime  : 
% 0.18/0.84  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.84  % Process 3027651 was started by sandbox2 on n002,
% 0.18/0.84  % Sun Sep 27 01:02:06 2026
% 0.18/0.84  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.23/1.02  WARNING: token truncated at 4095 chars (line 64008)
% 0.23/1.02  WARNING: token truncated at 4095 chars (line 64302)
% 0.23/1.02  WARNING: token truncated at 4095 chars (line 64389)
% 0.23/1.03  WARNING: token truncated at 4095 chars (line 65430)
% 0.23/1.03  WARNING: token truncated at 4095 chars (line 65625)
% 0.23/1.03  WARNING: token truncated at 4095 chars (line 65856)
% 4.80/2.31  
% 4.80/2.31  % SInE (scan): 281 to sos (tol 1.5x), 39 to usable (tol 2.0x), 55276 zapped, of 55596 axioms (depth 3).
% 4.80/2.31  
% 4.80/2.31  % From the command line: assign(max_seconds, 300).
% 4.80/2.31  
% 4.80/2.31  % SZS status Theorem for theBenchmark
% 4.80/2.31  
% 4.80/2.31  % Proof 1 at 0.31 (+ 0.13) seconds.
% 4.80/2.31  % Length of proof is 7.
% 4.80/2.31  % Level of proof is 3.
% 4.80/2.31  % Maximum clause weight is 11.000.
% 4.80/2.31  % Given clauses 9.
% 4.80/2.31  
% 4.80/2.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------