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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR090+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% 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 : Sun Sep 27 07:07:19 AM UTC 2026

% Result   : Theorem 3.71s 1.26s
% Output   : CNFRefutation 3.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   42 (  22 unt;   0 def)
%            Number of atoms       :   92 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   92 (  42   ~;  39   |;   6   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   24 (   2 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_28419,axiom,
    ! [V__INST1,V__INST2,V__INST3] :
      ( ( s__instance(V__INST1,s__TimePosition)
        & s__instance(V__INST2,s__TimePosition)
        & s__instance(V__INST3,s__TimePosition) )
     => ( ( s__temporalPart(V__INST2,V__INST3)
          & s__temporalPart(V__INST1,V__INST2) )
       => s__temporalPart(V__INST1,V__INST3) ) ),
    file('theBenchmark.p',kb_SUMO_28419) ).

fof(kb_SUMO_26635,axiom,
    ! [V__X,V__Y] :
      ( s__subclass(V__X,V__Y)
     => ( s__instance(V__Y,s__SetOrClass)
        & s__instance(V__X,s__SetOrClass) ) ),
    file('theBenchmark.p',kb_SUMO_26635) ).

fof(kb_SUMO_26636,axiom,
    ! [V__X,V__Y,V__Z] :
      ( ( s__instance(V__X,s__SetOrClass)
        & s__instance(V__Y,s__SetOrClass) )
     => ( ( s__instance(V__Z,V__X)
          & s__subclass(V__X,V__Y) )
       => s__instance(V__Z,V__Y) ) ),
    file('theBenchmark.p',kb_SUMO_26636) ).

fof(prove_from_ALL,conjecture,
    s__temporalPart(s__Time17_1,s__Time17_3),
    file('theBenchmark.p',prove_from_ALL) ).

fof(prove_from_ALL_neg,negated_conjecture,
    ~ s__temporalPart(s__Time17_1,s__Time17_3),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

cnf(c_268,plain,
    ( s__instance(A,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26635]) ).

cnf(c_269,plain,
    ( s__instance(B,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26635]) ).

cnf(c_270,plain,
    ( s__instance(C,A)
    | ~ s__instance(C,B)
    | ~ s__subclass(B,A)
    | ~ s__instance(B,s__SetOrClass)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(clausify,[status(thm)],[kb_SUMO_26636]) ).

fof(kb_SUMO_27777,axiom,
    s__subclass(s__TimeInterval,s__TimePosition),
    file('theBenchmark.p',kb_SUMO_27777) ).

cnf(c_438,plain,
    s__subclass(s__TimeInterval,s__TimePosition),
    inference(clausify,[status(thm)],[kb_SUMO_27777]) ).

cnf(c_456,plain,
    ( s__temporalPart(C,A)
    | ~ s__temporalPart(B,A)
    | ~ s__temporalPart(C,B)
    | ~ s__instance(C,s__TimePosition)
    | ~ s__instance(B,s__TimePosition)
    | ~ s__instance(A,s__TimePosition) ),
    inference(clausify,[status(thm)],[kb_SUMO_28419]) ).

fof(local_1,axiom,
    s__instance(s__Time17_1,s__TimeInterval),
    file('theBenchmark.p',local_1) ).

cnf(c_528,plain,
    s__instance(s__Time17_1,s__TimeInterval),
    inference(clausify,[status(thm)],[local_1]) ).

fof(local_2,axiom,
    s__instance(s__Time17_2,s__TimeInterval),
    file('theBenchmark.p',local_2) ).

cnf(c_529,plain,
    s__instance(s__Time17_2,s__TimeInterval),
    inference(clausify,[status(thm)],[local_2]) ).

fof(local_3,axiom,
    s__instance(s__Time17_3,s__TimeInterval),
    file('theBenchmark.p',local_3) ).

cnf(c_530,plain,
    s__instance(s__Time17_3,s__TimeInterval),
    inference(clausify,[status(thm)],[local_3]) ).

fof(local_4,axiom,
    s__temporalPart(s__Time17_1,s__Time17_2),
    file('theBenchmark.p',local_4) ).

cnf(c_531,plain,
    s__temporalPart(s__Time17_1,s__Time17_2),
    inference(clausify,[status(thm)],[local_4]) ).

fof(local_5,axiom,
    s__temporalPart(s__Time17_2,s__Time17_3),
    file('theBenchmark.p',local_5) ).

cnf(c_532,plain,
    s__temporalPart(s__Time17_2,s__Time17_3),
    inference(clausify,[status(thm)],[local_5]) ).

cnf(c_533,negated_conjecture,
    ~ s__temporalPart(s__Time17_1,s__Time17_3),
    inference(clausify,[status(thm)],[prove_from_ALL_neg]) ).

cnf(c_622,plain,
    ( s__instance(s__Time17_1,A)
    | ~ s__subclass(s__TimeInterval,A)
    | ~ s__instance(s__TimeInterval,s__SetOrClass)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_528,c_270]) ).

cnf(c_660,plain,
    ( s__instance(s__Time17_3,A)
    | ~ s__subclass(s__TimeInterval,A)
    | ~ s__instance(s__TimeInterval,s__SetOrClass)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_530,c_270]) ).

cnf(c_833,plain,
    ( s__instance(s__Time17_3,s__TimePosition)
    | ~ s__instance(s__TimeInterval,s__SetOrClass)
    | ~ s__instance(s__TimePosition,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_438,c_660]) ).

cnf(c_834,plain,
    ( s__instance(s__Time17_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval,s__SetOrClass)
    | ~ s__instance(s__TimePosition,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_438,c_622]) ).

cnf(c_841,plain,
    s__instance(s__TimePosition,s__SetOrClass),
    inference(resolve,[status(thm)],[c_438,c_269]) ).

cnf(c_842,plain,
    s__instance(s__TimeInterval,s__SetOrClass),
    inference(resolve,[status(thm)],[c_438,c_268]) ).

cnf(c_2977,plain,
    ( s__instance(s__Time17_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_841,c_834]) ).

cnf(c_849,plain,
    s__instance(s__Time17_1,s__TimePosition),
    inference(resolve,[status(thm)],[c_842,c_2977]) ).

cnf(c_2978,plain,
    ( s__instance(s__Time17_3,s__TimePosition)
    | ~ s__instance(s__TimeInterval,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_841,c_833]) ).

cnf(c_850,plain,
    s__instance(s__Time17_3,s__TimePosition),
    inference(resolve,[status(thm)],[c_842,c_2978]) ).

cnf(c_912,plain,
    ( s__instance(B,s__TimePosition)
    | ~ s__instance(B,A)
    | ~ s__subclass(A,s__TimePosition)
    | ~ s__instance(A,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_841,c_270]) ).

cnf(c_2979,plain,
    ( s__temporalPart(s__Time17_1,A)
    | ~ s__temporalPart(s__Time17_2,A)
    | ~ s__instance(s__Time17_1,s__TimePosition)
    | ~ s__instance(s__Time17_2,s__TimePosition)
    | ~ s__instance(A,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_456,c_531]) ).

cnf(c_1047,plain,
    ( s__temporalPart(s__Time17_1,A)
    | ~ s__temporalPart(s__Time17_2,A)
    | ~ s__instance(s__Time17_2,s__TimePosition)
    | ~ s__instance(A,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_849,c_2979]) ).

cnf(c_2980,plain,
    ( s__temporalPart(s__Time17_1,s__Time17_3)
    | ~ s__temporalPart(s__Time17_2,s__Time17_3)
    | ~ s__instance(s__Time17_2,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_1047,c_850]) ).

cnf(c_2981,plain,
    ( s__temporalPart(s__Time17_1,s__Time17_3)
    | ~ s__instance(s__Time17_2,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_532,c_2980]) ).

cnf(c_2855,negated_conjecture,
    ~ s__instance(s__Time17_2,s__TimePosition),
    inference(resolve,[status(thm)],[c_533,c_2981]) ).

cnf(c_2982,plain,
    ( s__instance(s__Time17_2,s__TimePosition)
    | ~ s__subclass(s__TimeInterval,s__TimePosition)
    | ~ s__instance(s__TimeInterval,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_529,c_912]) ).

cnf(c_2983,plain,
    ( s__instance(s__Time17_2,s__TimePosition)
    | ~ s__subclass(s__TimeInterval,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_842,c_2982]) ).

cnf(c_2984,plain,
    s__instance(s__Time17_2,s__TimePosition),
    inference(resolve,[status(thm)],[c_438,c_2983]) ).

cnf(c_2976,plain,
    $false,
    inference(resolve,[status(thm)],[c_2855,c_2984]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR090+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n015.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 00:52:59 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37  % Process 1125923 was started by sandbox on n015,
% 0.09/0.37  % Sun Sep 27 00:52:59 2026
% 0.09/0.37  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.42  WARNING: token truncated at 4095 chars (line 64008)
% 0.09/0.42  WARNING: token truncated at 4095 chars (line 64302)
% 0.09/0.42  WARNING: token truncated at 4095 chars (line 64389)
% 0.09/0.42  WARNING: token truncated at 4095 chars (line 65430)
% 0.09/0.42  WARNING: token truncated at 4095 chars (line 65625)
% 0.09/0.42  WARNING: token truncated at 4095 chars (line 65856)
% 3.71/1.26  
% 3.71/1.26  % SInE (scan): 211 to sos (tol 1.5x), 21 to usable (tol 2.0x), 55359 zapped, of 55591 axioms (depth 3).
% 3.71/1.26  
% 3.71/1.26  % From the command line: assign(max_seconds, 300).
% 3.71/1.26  
% 3.71/1.26  % given #500 (A,wt=118): 498 -s__instance(A,s__TimeInterval) | s__before(s__BeginFn(A),s__EndFn(A)) # tptp_name(kb_SUMO_33435) # sine_depth(2).  [clausify(57)].
% 3.71/1.26  
% 3.71/1.26  % SZS status Theorem for theBenchmark
% 3.71/1.26  
% 3.71/1.26  % Proof 1 at 0.38 (+ 0.15) seconds.
% 3.71/1.26  % Length of proof is 27.
% 3.71/1.26  % Level of proof is 7.
% 3.71/1.26  % Maximum clause weight is 108.000.
% 3.71/1.26  % Given clauses 822.
% 3.71/1.26  
% 3.71/1.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------