↑ Up

hopCoP---0.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : MGT001+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n011.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 : Tue Sep  8 06:11:17 AM UTC 2026

% Result   : Theorem 0.14s 0.44s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   70 (  33 unt;   0 def)
%            Number of atoms       :  215 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  243 (  98   ~;  95   |;  40   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   97 (   4 sgn  50   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t1_FOL,plain,
    ! [X,Y,T1,T2,I1,I2,P1,P2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reorganization_free(X,T1,T1)
        & reorganization_free(Y,T2,T2)
        & inertia(X,I1,T1)
        & inertia(Y,I2,T2)
        & survival_chance(X,P1,T1)
        & survival_chance(Y,P2,T2)
        & greater(I2,I1) )
     => greater(P2,P1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL) ).

fof(t1_FOL_negated,plain,
    ~ ! [X,Y,T1,T2,I1,I2,P1,P2] :
        ( ( organization(X,T1)
          & organization(Y,T2)
          & reorganization_free(X,T1,T1)
          & reorganization_free(Y,T2,T2)
          & inertia(X,I1,T1)
          & inertia(Y,I2,T2)
          & survival_chance(X,P1,T1)
          & survival_chance(Y,P2,T2)
          & greater(I2,I1) )
       => greater(P2,P1) ),
    inference(negate_conjecture,[status(cth)],[t1_FOL]) ).

cnf(9,plain,
    organization(sK4,sK6),
    inference(cnf,[status(esa)],[t1_FOL_negated]) ).

cnf(l0,plain,
    organization(sK4,sK6),
    inference(instantiation,[status(thm)],[9]) ).

fof(a3_FOL,plain,
    ! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reorganization_free(X,T1,T1)
        & reorganization_free(Y,T2,T2)
        & reproducibility(X,Rp1,T1)
        & reproducibility(Y,Rp2,T2)
        & inertia(X,I1,T1)
        & inertia(Y,I2,T2) )
     => ( greater(Rp2,Rp1)
      <=> greater(I2,I1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL) ).

cnf(8,plain,
    ( ~ inertia(X0,X1,X2)
    | ~ inertia(X3,X4,X5)
    | ~ reorganization_free(X0,X2,X2)
    | ~ reorganization_free(X3,X5,X5)
    | ~ greater(X4,X1)
    | ~ organization(X0,X2)
    | ~ organization(X3,X5)
    | ~ reproducibility(X0,X6,X2)
    | ~ reproducibility(X3,X7,X5)
    | greater(X7,X6) ),
    inference(cnf,[status(esa)],[a3_FOL]) ).

cnf(l1,plain,
    ( ~ inertia(sK4,sK8,sK6)
    | ~ inertia(sK5,sK9,sK7)
    | ~ reorganization_free(sK4,sK6,sK6)
    | ~ reorganization_free(sK5,sK7,sK7)
    | ~ greater(sK9,sK8)
    | ~ organization(sK4,sK6)
    | ~ organization(sK5,sK7)
    | ~ reproducibility(sK4,sK3(sK4,sK6),sK6)
    | ~ reproducibility(sK5,sK3(sK5,sK7),sK7)
    | greater(sK3(sK5,sK7),sK3(sK4,sK6)) ),
    inference(instantiation,[status(thm)],[8]) ).

fof(mp3,plain,
    ! [X,T] :
      ( organization(X,T)
     => ? [Rp] : reproducibility(X,Rp,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3) ).

cnf(2,plain,
    ( ~ organization(X0,X1)
    | reproducibility(X0,sK3(X0,X1),X1) ),
    inference(cnf,[status(esa)],[mp3]) ).

cnf(l2,plain,
    ( ~ organization(sK5,sK7)
    | reproducibility(sK5,sK3(sK5,sK7),sK7) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(11,plain,
    reorganization_free(sK4,sK6,sK6),
    inference(cnf,[status(esa)],[t1_FOL_negated]) ).

cnf(l3,plain,
    reorganization_free(sK4,sK6,sK6),
    inference(instantiation,[status(thm)],[11]) ).

cnf(13,plain,
    inertia(sK4,sK8,sK6),
    inference(cnf,[status(esa)],[t1_FOL_negated]) ).

cnf(l4,plain,
    inertia(sK4,sK8,sK6),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l9,plain,
    ( ~ organization(sK4,sK6)
    | reproducibility(sK4,sK3(sK4,sK6),sK6) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(12,plain,
    reorganization_free(sK5,sK7,sK7),
    inference(cnf,[status(esa)],[t1_FOL_negated]) ).

cnf(l10,plain,
    reorganization_free(sK5,sK7,sK7),
    inference(instantiation,[status(thm)],[12]) ).

fof(a2_FOL,plain,
    ! [X,Y,T1,T2,R1,R2,A1,A2,Rp1,Rp2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reliability(X,R1,T1)
        & reliability(Y,R2,T2)
        & accountability(X,A1,T1)
        & accountability(Y,A2,T2)
        & reproducibility(X,Rp1,T1)
        & reproducibility(Y,Rp2,T2) )
     => ( greater(Rp2,Rp1)
      <=> ( greater(R2,R1)
          & greater(A2,A1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).

cnf(5,plain,
    ( ~ greater(X0,X1)
    | ~ organization(X2,X3)
    | ~ organization(X4,X5)
    | ~ reliability(X2,X6,X3)
    | ~ reliability(X4,X7,X5)
    | ~ reproducibility(X2,X1,X3)
    | ~ reproducibility(X4,X0,X5)
    | ~ accountability(X2,X8,X3)
    | ~ accountability(X4,X9,X5)
    | greater(X9,X8) ),
    inference(cnf,[status(esa)],[a2_FOL]) ).

cnf(l5,plain,
    ( ~ greater(sK3(sK5,sK7),sK3(sK4,sK6))
    | ~ organization(sK4,sK6)
    | ~ organization(sK5,sK7)
    | ~ reliability(sK4,sK1(sK4,sK6),sK6)
    | ~ reliability(sK5,sK1(sK5,sK7),sK7)
    | ~ reproducibility(sK4,sK3(sK4,sK6),sK6)
    | ~ reproducibility(sK5,sK3(sK5,sK7),sK7)
    | ~ accountability(sK4,sK2(sK4,sK6),sK6)
    | ~ accountability(sK5,sK2(sK5,sK7),sK7)
    | greater(sK2(sK5,sK7),sK2(sK4,sK6)) ),
    inference(instantiation,[status(thm)],[5]) ).

cnf(l15,plain,
    ( ~ organization(sK5,sK7)
    | reproducibility(sK5,sK3(sK5,sK7),sK7) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(10,plain,
    organization(sK5,sK7),
    inference(cnf,[status(esa)],[t1_FOL_negated]) ).

cnf(l12,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l16,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l72,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

fof(mp1,plain,
    ! [X,T] :
      ( organization(X,T)
     => ? [R] : reliability(X,R,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1) ).

cnf(0,plain,
    ( ~ organization(X0,X1)
    | reliability(X0,sK1(X0,X1),X1) ),
    inference(cnf,[status(esa)],[mp1]) ).

cnf(l55,plain,
    ( ~ organization(sK4,sK6)
    | reliability(sK4,sK1(sK4,sK6),sK6) ),
    inference(instantiation,[status(thm)],[0]) ).

fof(mp2,plain,
    ! [X,T] :
      ( organization(X,T)
     => ? [A] : accountability(X,A,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2) ).

cnf(1,plain,
    ( ~ organization(X0,X1)
    | accountability(X0,sK2(X0,X1),X1) ),
    inference(cnf,[status(esa)],[mp2]) ).

cnf(l60,plain,
    ( ~ organization(sK5,sK7)
    | accountability(sK5,sK2(sK5,sK7),sK7) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(14,plain,
    inertia(sK5,sK9,sK7),
    inference(cnf,[status(esa)],[t1_FOL_negated]) ).

cnf(l6,plain,
    inertia(sK5,sK9,sK7),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l79,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l20,plain,
    ( ~ organization(sK4,sK6)
    | reproducibility(sK4,sK3(sK4,sK6),sK6) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l53,plain,
    ( ~ organization(sK5,sK7)
    | reliability(sK5,sK1(sK5,sK7),sK7) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l69,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(17,plain,
    greater(sK9,sK8),
    inference(cnf,[status(esa)],[t1_FOL_negated]) ).

cnf(l7,plain,
    greater(sK9,sK8),
    inference(instantiation,[status(thm)],[17]) ).

cnf(l73,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l26,plain,
    ( ~ organization(sK4,sK6)
    | accountability(sK4,sK2(sK4,sK6),sK6) ),
    inference(instantiation,[status(thm)],[1]) ).

fof(a1_FOL,plain,
    ! [X,Y,R1,R2,A1,A2,P1,P2,T1,T2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reliability(X,R1,T1)
        & reliability(Y,R2,T2)
        & accountability(X,A1,T1)
        & accountability(Y,A2,T2)
        & survival_chance(X,P1,T1)
        & survival_chance(Y,P2,T2)
        & greater(R2,R1)
        & greater(A2,A1) )
     => greater(P2,P1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_FOL) ).

cnf(3,plain,
    ( ~ survival_chance(X0,X1,X2)
    | ~ survival_chance(X3,X4,X5)
    | ~ greater(X6,X7)
    | ~ greater(X8,X9)
    | ~ organization(X0,X2)
    | ~ organization(X3,X5)
    | ~ reliability(X0,X7,X2)
    | ~ reliability(X3,X6,X5)
    | ~ accountability(X0,X9,X2)
    | ~ accountability(X3,X8,X5)
    | greater(X4,X1) ),
    inference(cnf,[status(esa)],[a1_FOL]) ).

cnf(l50,plain,
    ( ~ survival_chance(sK4,sK10,sK6)
    | ~ survival_chance(sK5,sK11,sK7)
    | ~ greater(sK1(sK5,sK7),sK1(sK4,sK6))
    | ~ greater(sK2(sK5,sK7),sK2(sK4,sK6))
    | ~ organization(sK4,sK6)
    | ~ organization(sK5,sK7)
    | ~ reliability(sK4,sK1(sK4,sK6),sK6)
    | ~ reliability(sK5,sK1(sK5,sK7),sK7)
    | ~ accountability(sK4,sK2(sK4,sK6),sK6)
    | ~ accountability(sK5,sK2(sK5,sK7),sK7)
    | greater(sK11,sK10) ),
    inference(instantiation,[status(thm)],[3]) ).

cnf(l62,plain,
    ( ~ organization(sK5,sK7)
    | accountability(sK5,sK2(sK5,sK7),sK7) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l70,plain,
    ( ~ organization(sK4,sK6)
    | accountability(sK4,sK2(sK4,sK6),sK6) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(16,plain,
    survival_chance(sK5,sK11,sK7),
    inference(cnf,[status(esa)],[t1_FOL_negated]) ).

cnf(l61,plain,
    survival_chance(sK5,sK11,sK7),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l71,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l116,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l86,plain,
    ( ~ organization(sK4,sK6)
    | reliability(sK4,sK1(sK4,sK6),sK6) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(15,plain,
    survival_chance(sK4,sK10,sK6),
    inference(cnf,[status(esa)],[t1_FOL_negated]) ).

cnf(l67,plain,
    survival_chance(sK4,sK10,sK6),
    inference(instantiation,[status(thm)],[15]) ).

cnf(18,plain,
    ~ greater(sK11,sK10),
    inference(cnf,[status(esa)],[t1_FOL_negated]) ).

cnf(l92,plain,
    ~ greater(sK11,sK10),
    inference(instantiation,[status(thm)],[18]) ).

cnf(l66,plain,
    ( ~ organization(sK5,sK7)
    | reliability(sK5,sK1(sK5,sK7),sK7) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l100,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(4,plain,
    ( ~ greater(X0,X1)
    | ~ organization(X2,X3)
    | ~ organization(X4,X5)
    | ~ reliability(X2,X6,X3)
    | ~ reliability(X4,X7,X5)
    | ~ reproducibility(X2,X1,X3)
    | ~ reproducibility(X4,X0,X5)
    | ~ accountability(X2,X8,X3)
    | ~ accountability(X4,X9,X5)
    | greater(X7,X6) ),
    inference(cnf,[status(esa)],[a2_FOL]) ).

cnf(l64,plain,
    ( ~ greater(sK3(sK5,sK7),sK3(sK4,sK6))
    | ~ organization(sK4,sK6)
    | ~ organization(sK5,sK7)
    | ~ reliability(sK4,sK1(sK4,sK6),sK6)
    | ~ reliability(sK5,sK1(sK5,sK7),sK7)
    | ~ reproducibility(sK4,sK3(sK4,sK6),sK6)
    | ~ reproducibility(sK5,sK3(sK5,sK7),sK7)
    | ~ accountability(sK4,sK2(sK4,sK6),sK6)
    | ~ accountability(sK5,sK2(sK5,sK7),sK7)
    | greater(sK1(sK5,sK7),sK1(sK4,sK6)) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l219,plain,
    ( ~ organization(sK4,sK6)
    | reproducibility(sK4,sK3(sK4,sK6),sK6) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l225,plain,
    ( ~ organization(sK5,sK7)
    | reproducibility(sK5,sK3(sK5,sK7),sK7) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l215,plain,
    ( ~ organization(sK4,sK6)
    | reliability(sK4,sK1(sK4,sK6),sK6) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l217,plain,
    ( ~ organization(sK5,sK7)
    | reliability(sK5,sK1(sK5,sK7),sK7) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l230,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l221,plain,
    ( ~ organization(sK5,sK7)
    | accountability(sK5,sK2(sK5,sK7),sK7) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l231,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l218,plain,
    ( ~ organization(sK4,sK6)
    | accountability(sK4,sK2(sK4,sK6),sK6) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l224,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(l232,plain,
    organization(sK5,sK7),
    inference(instantiation,[status(thm)],[10]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l9,l10,l5,l15,l12,l16,l72,l55,l60,l6,l79,l20,l53,l69,l7,l73,l26,l50,l62,l70,l61,l71,l116,l86,l67,l92,l66,l100,l64,l219,l225,l215,l217,l230,l221,l231,l218,l224,l232]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT001+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n011.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep  7 11:32:45 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  % launching worker at depth: 1
% 0.08/0.36  % launching worker at depth: 7
% 0.08/0.36  % launching worker at depth: 2
% 0.08/0.36  % launching worker at depth: 4
% 0.08/0.36  % launching worker at depth: 5
% 0.08/0.36  % launching worker at depth: 6
% 0.08/0.36  % launching worker at depth: 8
% 0.08/0.36  % launching worker at depth: 3
% 0.08/0.37  % launching worker at depth: 9
% 0.08/0.37  % launching worker at depth: 10
% 0.14/0.41  % launching worker at depth: 11
% 0.14/0.44  % SZS status Theorem for theBenchmark
% 0.14/0.44  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------