↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : CSR104+1 : 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 : 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 07:07:27 AM UTC 2026

% Result   : Theorem 30.77s 4.93s
% Output   : CNFRefutation 30.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   53 (  30 unt;   0 def)
%            Number of atoms       :  111 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  104 (  46   ~;  44   |;   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    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   35 (   1 sgn  10   !;   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_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(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]) ).

fof(kb_SUMOcache_4594,axiom,
    s__subclass(s__TimeInterval,s__ConstantQuantity),
    file('theBenchmark.p',kb_SUMOcache_4594) ).

cnf(c_854,plain,
    s__subclass(s__TimeInterval,s__ConstantQuantity),
    inference(clausify,[status(thm)],[kb_SUMOcache_4594]) ).

fof(kb_SUMOcache_6968,axiom,
    s__subclass(s__TimePosition,s__ConstantQuantity),
    file('theBenchmark.p',kb_SUMOcache_6968) ).

cnf(c_923,plain,
    s__subclass(s__TimePosition,s__ConstantQuantity),
    inference(clausify,[status(thm)],[kb_SUMOcache_6968]) ).

cnf(c_935,plain,
    ( s__instance(A,s__SetOrClass)
    | ~ s__subclass(A,B) ),
    inference(clausify,[status(thm)],[kb_SUMO_26]) ).

cnf(c_937,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_938,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_957,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_958,plain,
    s__subclass(s__TimePoint,s__TimePosition),
    inference(clausify,[status(thm)],[kb_SUMO_912]) ).

cnf(c_977,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_1088,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_1089,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_1090,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_1091,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_1092,plain,
    s__during(s__TimeInterval35_1,s__TimeInterval35_2),
    inference(clausify,[status(thm)],[local_5]) ).

cnf(c_1093,negated_conjecture,
    ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    inference(clausify,[status(thm)],[prove_from_SUMO_neg]) ).

cnf(c_1136,plain,
    s__instance(s__TimePosition,s__SetOrClass),
    inference(resolve,[status(thm)],[c_935,c_923]) ).

cnf(c_1162,plain,
    s__instance(s__TimeInterval,s__SetOrClass),
    inference(resolve,[status(thm)],[c_935,c_854]) ).

cnf(c_6134,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_938,c_1092]) ).

cnf(c_6135,plain,
    ( s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2)
    | ~ s__instance(s__TimeInterval35_1,s__TimeInterval) ),
    inference(resolve,[status(thm)],[c_1090,c_6134]) ).

cnf(c_1349,plain,
    s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2),
    inference(resolve,[status(thm)],[c_1089,c_6135]) ).

cnf(c_6136,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_937,c_1136]) ).

cnf(c_6137,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval)
    | ~ s__subclass(s__TimeInterval,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_6136,c_1162]) ).

cnf(c_6138,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval) ),
    inference(resolve,[status(thm)],[c_6137,c_957]) ).

cnf(c_2547,plain,
    s__instance(s__TimeInterval35_2,s__TimePosition),
    inference(resolve,[status(thm)],[c_6138,c_1090]) ).

cnf(c_2572,plain,
    s__instance(s__TimePoint,s__SetOrClass),
    inference(resolve,[status(thm)],[c_958,c_935]) ).

cnf(c_6139,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_937,c_1136]) ).

cnf(c_6140,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimePoint)
    | ~ s__subclass(s__TimePoint,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_6139,c_2572]) ).

cnf(c_6141,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimePoint) ),
    inference(resolve,[status(thm)],[c_6140,c_958]) ).

cnf(c_4430,plain,
    s__instance(s__TimePoint35_1,s__TimePosition),
    inference(resolve,[status(thm)],[c_6141,c_1088]) ).

cnf(c_6142,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_937,c_1136]) ).

cnf(c_6143,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval)
    | ~ s__subclass(s__TimeInterval,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_6142,c_1162]) ).

cnf(c_6144,plain,
    ( s__instance(A,s__TimePosition)
    | ~ s__instance(A,s__TimeInterval) ),
    inference(resolve,[status(thm)],[c_6143,c_957]) ).

cnf(c_6085,plain,
    s__instance(s__TimeInterval35_1,s__TimePosition),
    inference(resolve,[status(thm)],[c_6144,c_1089]) ).

cnf(c_6145,plain,
    ( s__temporalPart(B,s__TimeInterval35_2)
    | ~ s__temporalPart(A,s__TimeInterval35_2)
    | ~ s__temporalPart(B,A)
    | ~ s__instance(B,s__TimePosition)
    | ~ s__instance(A,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_977,c_2547]) ).

cnf(c_6146,plain,
    ( s__temporalPart(A,s__TimeInterval35_2)
    | ~ s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2)
    | ~ s__temporalPart(A,s__TimeInterval35_1)
    | ~ s__instance(A,s__TimePosition) ),
    inference(resolve,[status(thm)],[c_6145,c_6085]) ).

cnf(c_6147,plain,
    ( s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2)
    | ~ s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2)
    | ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_1) ),
    inference(resolve,[status(thm)],[c_6146,c_4430]) ).

cnf(c_6148,plain,
    ( s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2)
    | ~ s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2) ),
    inference(resolve,[status(thm)],[c_6147,c_1091]) ).

cnf(c_6149,plain,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    inference(resolve,[status(thm)],[c_6148,c_1349]) ).

cnf(c_6133,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_1093,c_6149]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR104+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n002.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Sun Sep 27 00:59:22 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.13/0.36  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36  % Process 3024924 was started by sandbox on n002,
% 0.13/0.36  % Sun Sep 27 00:59:22 2026
% 0.13/0.36  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 30.77/4.93  
% 30.77/4.93  % SInE (scan): 558 to sos (tol 1.5x), 90 to usable (tol 2.0x), 14144 zapped, of 14792 axioms (depth 3).
% 30.77/4.93  
% 30.77/4.93  % From the command line: assign(max_seconds, 300).
% 30.77/4.93  
% 30.77/4.93  % given #500 (T,wt=8): 3424 s__subclass(s__GeographicArea,s__Entity).  [hyper(979,a,1212,a,b,1166,a,c,1177,a,d,747,a,e,846,a)].
% 30.77/4.93  
% 30.77/4.93  % given #1000 (W,wt=11): 2490 s__equivalentContentClass__m != A | s__instance(A,s__Relation).  [resolve(1374,a,941,d),unit_del(b,1134)].
% 30.77/4.93  
% 30.77/4.93  % SZS status Theorem for theBenchmark
% 30.77/4.93  
% 30.77/4.93  % Proof 1 at 3.94 (+ 0.38) seconds.
% 30.77/4.93  % Length of proof is 27.
% 30.77/4.93  % Level of proof is 4.
% 30.77/4.93  % Maximum clause weight is 120.000.
% 30.77/4.93  % Given clauses 1020.
% 30.77/4.93  
% 30.77/4.93  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------