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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR104+4 : 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 : n018.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 07:07:28 AM UTC 2026

% Result   : Theorem 1.94s 0.75s
% Output   : CNFRefutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   47 (  26 unt;   0 def)
%            Number of atoms       :  100 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   94 (  41   ~;  39   |;   7   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   31 (   2 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_74,axiom,
    ! [V__ROW1,V__ROW2] :
      ( ( s__instance(V__ROW1,s__TimeInterval)
        & s__instance(V__ROW2,s__TimeInterval) )
     => ( s__during(V__ROW1,V__ROW2)
       => s__temporalPart(V__ROW1,V__ROW2) ) ),
    file('theBenchmark.p',kb_SUMO_74) ).

fof(kb_SUMO_1262,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_1262) ).

fof(kb_SUMO_26,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_26) ).

fof(kb_SUMO_27,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_27) ).

fof(prove_from_SUMO,conjecture,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    file('theBenchmark.p',prove_from_SUMO) ).

fof(prove_from_SUMO_neg,negated_conjecture,
    ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).

cnf(c_253,plain,
    ( s__instance(A,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_254,plain,
    ( s__instance(B,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_255,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_27]) ).

cnf(c_533,plain,
    ( s__temporalPart(B,A)
    | ~ s__during(B,A)
    | ~ s__instance(B,s__TimeInterval)
    | ~ s__instance(A,s__TimeInterval) ),
    inference(clausify,[status(thm)],[kb_SUMO_74]) ).

fof(kb_SUMO_908,axiom,
    s__subclass(s__TimeInterval,s__TimePosition),
    file('theBenchmark.p',kb_SUMO_908) ).

cnf(c_547,plain,
    s__subclass(s__TimeInterval,s__TimePosition),
    inference(clausify,[status(thm)],[kb_SUMO_908]) ).

fof(kb_SUMO_912,axiom,
    s__subclass(s__TimePoint,s__TimePosition),
    file('theBenchmark.p',kb_SUMO_912) ).

cnf(c_548,plain,
    s__subclass(s__TimePoint,s__TimePosition),
    inference(clausify,[status(thm)],[kb_SUMO_912]) ).

cnf(c_561,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_1262]) ).

fof(local_1,axiom,
    s__instance(s__TimePoint35_1,s__TimePoint),
    file('theBenchmark.p',local_1) ).

cnf(c_619,plain,
    s__instance(s__TimePoint35_1,s__TimePoint),
    inference(clausify,[status(thm)],[local_1]) ).

fof(local_2,axiom,
    s__instance(s__TimeInterval35_1,s__TimeInterval),
    file('theBenchmark.p',local_2) ).

cnf(c_620,plain,
    s__instance(s__TimeInterval35_1,s__TimeInterval),
    inference(clausify,[status(thm)],[local_2]) ).

fof(local_3,axiom,
    s__instance(s__TimeInterval35_2,s__TimeInterval),
    file('theBenchmark.p',local_3) ).

cnf(c_621,plain,
    s__instance(s__TimeInterval35_2,s__TimeInterval),
    inference(clausify,[status(thm)],[local_3]) ).

fof(local_4,axiom,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_1),
    file('theBenchmark.p',local_4) ).

cnf(c_622,plain,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_1),
    inference(clausify,[status(thm)],[local_4]) ).

fof(local_5,axiom,
    s__during(s__TimeInterval35_1,s__TimeInterval35_2),
    file('theBenchmark.p',local_5) ).

cnf(c_623,plain,
    s__during(s__TimeInterval35_1,s__TimeInterval35_2),
    inference(clausify,[status(thm)],[local_5]) ).

cnf(c_624,negated_conjecture,
    ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    inference(clausify,[status(thm)],[prove_from_SUMO_neg]) ).

cnf(c_1633,plain,
    ( s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2)
    | ~ s__instance(s__TimeInterval35_1,s__TimeInterval)
    | ~ s__instance(s__TimeInterval35_2,s__TimeInterval) ),
    inference(resolve,[status(thm)],[c_623,c_533]) ).

cnf(c_1634,plain,
    ( s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2)
    | ~ s__instance(s__TimeInterval35_1,s__TimeInterval) ),
    inference(resolve,[status(thm)],[c_621,c_1633]) ).

cnf(c_664,plain,
    s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2),
    inference(resolve,[status(thm)],[c_620,c_1634]) ).

cnf(c_783,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval)
    | ~ s__instance(s__TimeInterval,s__SetOrClass)
    | ~ s__instance(s__TimePosition,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_547,c_255]) ).

cnf(c_784,plain,
    s__instance(s__TimePosition,s__SetOrClass),
    inference(resolve,[status(thm)],[c_547,c_254]) ).

cnf(c_785,plain,
    s__instance(s__TimeInterval,s__SetOrClass),
    inference(resolve,[status(thm)],[c_547,c_253]) ).

cnf(c_1635,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval)
    | ~ s__instance(s__TimeInterval,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_784,c_783]) ).

cnf(c_788,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval) ),
    inference(resolve,[status(thm)],[c_785,c_1635]) ).

cnf(c_1636,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimePoint)
    | ~ s__instance(s__TimePoint,s__SetOrClass)
    | ~ s__instance(s__TimePosition,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_548,c_255]) ).

cnf(c_803,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimePoint)
    | ~ s__instance(s__TimePoint,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_784,c_1636]) ).

cnf(c_804,plain,
    s__instance(s__TimePoint,s__SetOrClass),
    inference(resolve,[status(thm)],[c_548,c_253]) ).

cnf(c_806,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimePoint) ),
    inference(resolve,[status(thm)],[c_804,c_803]) ).

cnf(c_888,plain,
    s__instance(s__TimeInterval35_2,s__TimePosition),
    inference(resolve,[status(thm)],[c_788,c_621]) ).

cnf(c_920,plain,
    s__instance(s__TimePoint35_1,s__TimePosition),
    inference(resolve,[status(thm)],[c_806,c_619]) ).

cnf(c_1637,plain,
    ( s__temporalPart(A,s__TimeInterval35_2)
    | ~ s__temporalPart(A,s__TimeInterval35_1)
    | ~ s__instance(A,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_2,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_561,c_664]) ).

cnf(c_945,plain,
    ( s__temporalPart(A,s__TimeInterval35_2)
    | ~ s__temporalPart(A,s__TimeInterval35_1)
    | ~ s__instance(A,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_888,c_1637]) ).

cnf(c_1549,plain,
    s__instance(s__TimeInterval35_1,s__TimePosition),
    inference(resolve,[status(thm)],[c_620,c_788]) ).

cnf(c_1578,plain,
    ( s__temporalPart(A,s__TimeInterval35_2)
    | ~ s__temporalPart(A,s__TimeInterval35_1)
    | ~ s__instance(A,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_1549,c_945]) ).

cnf(c_1638,plain,
    ( s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2)
    | ~ s__instance(s__TimePoint35_1,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_1578,c_622]) ).

cnf(c_1639,plain,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    inference(resolve,[status(thm)],[c_920,c_1638]) ).

cnf(c_1632,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_624,c_1639]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR104+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n018.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 00:59:38 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38  % Process 1792489 was started by sandbox on n018,
% 0.10/0.38  % Sun Sep 27 00:59:38 2026
% 0.10/0.38  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 1.94/0.75  
% 1.94/0.75  % SInE (scan): 251 to sos (tol 1.5x), 48 to usable (tol 2.0x), 6923 zapped, of 7222 axioms (depth 3).
% 1.94/0.75  
% 1.94/0.75  % From the command line: assign(max_seconds, 300).
% 1.94/0.75  
% 1.94/0.75  % SZS status Theorem for theBenchmark
% 1.94/0.75  
% 1.94/0.75  % Proof 1 at 0.20 (+ 0.05) seconds.
% 1.94/0.75  % Length of proof is 32.
% 1.94/0.75  % Level of proof is 7.
% 1.94/0.75  % Maximum clause weight is 117.000.
% 1.94/0.75  % Given clauses 364.
% 1.94/0.75  
% 1.94/0.75  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------