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

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR090+2 : 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 : n019.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 07:07:18 AM UTC 2026

% Result   : Theorem 45.43s 7.59s
% Output   : CNFRefutation 45.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   45 (  26 unt;   0 def)
%            Number of atoms       :   94 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   89 (  40   ~;  38   |;   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    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   30 (   1 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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(kb_SUMO_1502,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_1502) ).

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

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

fof(kb_SUMO_1012,axiom,
    s__subclass(s__TimeInterval,s__TimePosition),
    file('theBenchmark.p',kb_SUMO_1012) ).

cnf(c_347,plain,
    s__subclass(s__TimeInterval,s__TimePosition),
    inference(clausify,[status(thm)],[kb_SUMO_1012]) ).

fof(kb_SUMO_12819,axiom,
    s__subclass(s__TimePosition,s__ConstantQuantity),
    file('theBenchmark.p',kb_SUMO_12819) ).

cnf(c_818,plain,
    s__subclass(s__TimePosition,s__ConstantQuantity),
    inference(clausify,[status(thm)],[kb_SUMO_12819]) ).

fof(kb_SUMO_18243,axiom,
    s__subclass(s__TimeInterval,s__TimeMeasure),
    file('theBenchmark.p',kb_SUMO_18243) ).

cnf(c_851,plain,
    s__subclass(s__TimeInterval,s__TimeMeasure),
    inference(clausify,[status(thm)],[kb_SUMO_18243]) ).

cnf(c_869,plain,
    ( s__instance(A,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_871,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_913,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_1502]) ).

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

cnf(c_1047,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_1048,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_1049,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_1050,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_1051,plain,
    s__temporalPart(s__Time17_2,s__Time17_3),
    inference(clausify,[status(thm)],[local_5]) ).

cnf(c_1052,negated_conjecture,
    ~ s__temporalPart(s__Time17_1,s__Time17_3),
    inference(clausify,[status(thm)],[prove_from_SUMO_MILO_neg]) ).

cnf(c_1141,plain,
    s__instance(s__TimeInterval,s__SetOrClass),
    inference(resolve,[status(thm)],[c_869,c_851]) ).

cnf(c_1154,plain,
    s__instance(s__TimePosition,s__SetOrClass),
    inference(resolve,[status(thm)],[c_869,c_818]) ).

cnf(c_5872,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_871,c_347]) ).

cnf(c_5873,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval)
    | ~ s__instance(s__TimeInterval,s__SetOrClass) ),
    inference(resolve,[status(thm)],[c_1154,c_5872]) ).

cnf(c_1339,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval) ),
    inference(resolve,[status(thm)],[c_1141,c_5873]) ).

cnf(c_5874,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_871,c_1154]) ).

cnf(c_5875,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval)
    | ~ s__subclass(s__TimeInterval,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_5874,c_1141]) ).

cnf(c_5876,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval) ),
    inference(resolve,[status(thm)],[c_5875,c_347]) ).

cnf(c_1424,plain,
    s__instance(s__Time17_3,s__TimePosition),
    inference(resolve,[status(thm)],[c_5876,c_1049]) ).

cnf(c_5877,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_871,c_1154]) ).

cnf(c_5878,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval)
    | ~ s__subclass(s__TimeInterval,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_5877,c_1141]) ).

cnf(c_5879,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval) ),
    inference(resolve,[status(thm)],[c_5878,c_347]) ).

cnf(c_1425,plain,
    s__instance(s__Time17_1,s__TimePosition),
    inference(resolve,[status(thm)],[c_5879,c_1047]) ).

cnf(c_5823,plain,
    s__instance(s__Time17_2,s__TimePosition),
    inference(resolve,[status(thm)],[c_1048,c_1339]) ).

cnf(c_5880,plain,
    ( s__temporalPart(B,s__Time17_3)
    | ~ s__temporalPart(A,s__Time17_3)
    | ~ s__temporalPart(B,A)
    | ~ s__instance(B,s__TimePosition)
    | ~ s__instance(A,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_913,c_1424]) ).

cnf(c_5881,plain,
    ( s__temporalPart(A,s__Time17_3)
    | ~ s__temporalPart(s__Time17_2,s__Time17_3)
    | ~ s__temporalPart(A,s__Time17_2)
    | ~ s__instance(A,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_5880,c_5823]) ).

cnf(c_5882,plain,
    ( s__temporalPart(s__Time17_1,s__Time17_3)
    | ~ s__temporalPart(s__Time17_2,s__Time17_3)
    | ~ s__temporalPart(s__Time17_1,s__Time17_2) ),
    inference(resolve,[status(thm)],[c_5881,c_1425]) ).

cnf(c_5883,plain,
    ( s__temporalPart(s__Time17_1,s__Time17_3)
    | ~ s__temporalPart(s__Time17_2,s__Time17_3) ),
    inference(resolve,[status(thm)],[c_5882,c_1050]) ).

cnf(c_5884,plain,
    s__temporalPart(s__Time17_1,s__Time17_3),
    inference(resolve,[status(thm)],[c_5883,c_1051]) ).

cnf(c_5871,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_1052,c_5884]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR090+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.64  % Computer : n019.cluster.edu
% 0.17/0.64  % Model    : x86_64 x86_64
% 0.17/0.64  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.64  % Memory   : 8046.5625MB
% 0.17/0.64  % OS       : Linux 6.8.0-71-generic
% 0.17/0.64  % CPULimit : 300
% 0.17/0.64  % WCLimit  : 300
% 0.17/0.64  % DateTime : Sun Sep 27 00:48:35 UTC 2026
% 0.17/0.65  % CPUTime  : 
% 0.21/0.65  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.21/0.65  % Process 2586511 was started by sandbox on n019,
% 0.21/0.65  % Sun Sep 27 00:48:35 2026
% 0.21/0.65  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 45.43/7.59  
% 45.43/7.59  % SInE (scan): 528 to sos (tol 1.5x), 90 to usable (tol 2.0x), 37368 zapped, of 37986 axioms (depth 3).
% 45.43/7.59  
% 45.43/7.59  % From the command line: assign(max_seconds, 300).
% 45.43/7.59  
% 45.43/7.59  % given #500 (W,wt=8): 3140 s__subclass(s__Human,s__Physical).  [hyper(917,a,1211,a,b,1170,a,c,1148,a,d,840,a,e,767,a)].
% 45.43/7.59  
% 45.43/7.59  % given #1000 (T,wt=11): 2265 s__connected__m != A | s__instance(A,s__Relation).  [resolve(1372,a,875,d),unit_del(b,1143)].
% 45.43/7.59  
% 45.43/7.59  % SZS status Theorem for theBenchmark
% 45.43/7.59  
% 45.43/7.59  % Proof 1 at 5.78 (+ 0.58) seconds.
% 45.43/7.59  % Length of proof is 23.
% 45.43/7.59  % Level of proof is 5.
% 45.43/7.59  % Maximum clause weight is 120.000.
% 45.43/7.59  % Given clauses 1167.
% 45.43/7.59  
% 45.43/7.59  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------