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SPASS-SCL---0.1.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SPASS-SCL---0.1.1
% Problem  : MGT017+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : /export/starexec/sandbox/solver/bin/SPASS-SCL-FOL -t 300 /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 : Tue Sep  8 06:20:05 AM UTC 2026

% Result   : Theorem 0.10s 0.40s
% Output   : Proof 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   33 (  14 unt;   0 def)
%            Number of atoms       :  199 (   0 equ)
%            Maximal formula atoms :   18 (   6 avg)
%            Number of connectives :  233 (  67   ~;  62   |;  95   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  134 (   0 sgn  89   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
% FILE RECORD
fof(a13_FOL,hypothesis,
    ! [X1,X4,X12,X5,X8,X9,X13,X14,X15] :
      ( ( organization(X1,X13)
        & organization(X4,X13)
        & organization(X4,X15)
        & class(X1,X5,X13)
        & class(X4,X5,X13)
        & reorganization(X1,X13,X14)
        & reorganization(X4,X13,X15)
        & reorganization_type(X1,X12,X13)
        & reorganization_type(X4,X12,X13)
        & inertia(X1,X8,X13)
        & inertia(X4,X9,X13)
        & greater(X9,X8) )
     => greater(X15,X14) ),
    file('theBenchmark.p',a13_FOL) ).

% FOF SIMPLE INFERENCE
fof(a13_FOL_elimTB,hypothesis,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( organization(X1,X7)
        & organization(X2,X7)
        & organization(X2,X9)
        & class(X1,X4,X7)
        & class(X2,X4,X7)
        & reorganization(X1,X7,X8)
        & reorganization(X2,X7,X9)
        & reorganization_type(X1,X3,X7)
        & reorganization_type(X2,X3,X7)
        & inertia(X1,X5,X7)
        & inertia(X2,X6,X7)
        & greater(X6,X5) )
     => greater(X9,X8) ),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[a13_FOL])]) ).

% FOF SIMPLE INFERENCE
fof(a13_FOL_elimImpEquivPushNegMiniScope,hypothesis,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ organization(X1,X7)
      | ~ organization(X2,X7)
      | ~ organization(X2,X9)
      | ~ class(X1,X4,X7)
      | ~ class(X2,X4,X7)
      | ~ reorganization(X1,X7,X8)
      | ~ reorganization(X2,X7,X9)
      | ~ reorganization_type(X1,X3,X7)
      | ~ reorganization_type(X2,X3,X7)
      | ~ inertia(X1,X5,X7)
      | ~ inertia(X2,X6,X7)
      | ~ greater(X6,X5)
      | greater(X9,X8) ),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[a13_FOL_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_3,plain,
    ( ~ organization(X0,X1)
    | ~ organization(X2,X1)
    | ~ organization(X2,X3)
    | ~ class(X0,X4,X1)
    | ~ class(X2,X4,X1)
    | ~ reorganization(X0,X1,X5)
    | ~ reorganization(X2,X1,X3)
    | ~ reorganization_type(X0,X6,X1)
    | ~ reorganization_type(X2,X6,X1)
    | ~ inertia(X0,X7,X1)
    | ~ inertia(X2,X8,X1)
    | ~ greater(X8,X7)
    | greater(X3,X5) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[a13_FOL_elimImpEquivPushNegMiniScope])]) ).

% FILE RECORD
fof(a5_FOL,hypothesis,
    ! [X1,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( organization(X1,X10)
        & organization(X4,X11)
        & class(X1,X5,X10)
        & class(X4,X5,X11)
        & size(X1,X6,X10)
        & size(X4,X7,X11)
        & inertia(X1,X8,X10)
        & inertia(X4,X9,X11)
        & greater(X7,X6) )
     => greater(X9,X8) ),
    file('theBenchmark.p',a5_FOL) ).

% FOF SIMPLE INFERENCE
fof(a5_FOL_elimTB,hypothesis,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( organization(X1,X8)
        & organization(X2,X9)
        & class(X1,X3,X8)
        & class(X2,X3,X9)
        & size(X1,X4,X8)
        & size(X2,X5,X9)
        & inertia(X1,X6,X8)
        & inertia(X2,X7,X9)
        & greater(X5,X4) )
     => greater(X7,X6) ),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[a5_FOL])]) ).

% FOF SIMPLE INFERENCE
fof(a5_FOL_elimImpEquivPushNegMiniScope,hypothesis,
    ! [X1,X2,X3,X4,X5,X6,X7] :
      ( ! [X8,X9] :
          ( ~ organization(X1,X8)
          | ~ organization(X2,X9)
          | ~ class(X1,X3,X8)
          | ~ class(X2,X3,X9)
          | ~ size(X1,X4,X8)
          | ~ size(X2,X5,X9)
          | ~ inertia(X1,X6,X8)
          | ~ inertia(X2,X7,X9)
          | ~ greater(X5,X4) )
      | greater(X7,X6) ),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[a5_FOL_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_2,plain,
    ( ~ organization(X0,X1)
    | ~ organization(X2,X3)
    | ~ class(X0,X4,X1)
    | ~ class(X2,X4,X3)
    | ~ size(X0,X5,X1)
    | ~ size(X2,X6,X3)
    | ~ inertia(X0,X7,X1)
    | ~ inertia(X2,X8,X3)
    | ~ greater(X6,X5)
    | greater(X8,X7) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[a5_FOL_elimImpEquivPushNegMiniScope])]) ).

% FILE RECORD
fof(mp5,axiom,
    ! [X1,X2] :
      ( organization(X1,X2)
     => ? [X3] : inertia(X1,X3,X2) ),
    file('theBenchmark.p',mp5) ).

% FOF SIMPLE INFERENCE
fof(mp5_elimTB,axiom,
    ! [X1,X2] :
      ( organization(X1,X2)
     => ? [X3] : inertia(X1,X3,X2) ),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[mp5])]) ).

% FOF SIMPLE INFERENCE
fof(mp5_elimImpEquivPushNegMiniScope,axiom,
    ! [X1,X2] :
      ( ~ organization(X1,X2)
      | ? [X3] : inertia(X1,X3,X2) ),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[mp5_elimTB]) ).

% FOF SKOLEM INFERENCE. WIP!!
fof(mp5_skol,axiom,
    ! [X1,X2] :
      ( ~ organization(X1,X2)
      | inertia(X1,skf1(X1,X2),X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[skf1]),skolemize(X3,skf1(X1,X2))],[mp5_elimImpEquivPushNegMiniScope]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_1,plain,
    ( ~ organization(X0,X1)
    | inertia(X0,skf1(X0,X1),X1) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[mp5_skol])]) ).

% CNF SPASS RESOLUTION.
cnf(c_18,plain,
    ( ~ organization(X2,X1)
    | ~ organization(X2,X3)
    | ~ class(X0,X4,X1)
    | ~ class(X2,X4,X1)
    | ~ reorganization(X0,X1,X5)
    | ~ reorganization(X2,X1,X3)
    | ~ reorganization_type(X0,X6,X1)
    | ~ reorganization_type(X2,X6,X1)
    | ~ inertia(X2,X7,X1)
    | ~ organization(X8,X9)
    | ~ class(X0,X10,X1)
    | ~ class(X8,X10,X9)
    | ~ size(X0,X11,X1)
    | ~ size(X8,X12,X9)
    | ~ inertia(X8,X7,X9)
    | ~ greater(X12,X11)
    | ~ organization(X0,X1)
    | greater(X3,X5) ),
    inference(resolution,[status(thm)],[c_3,c_2,c_1]) ).

% FILE RECORD
fof(t17_FOL,conjecture,
    ! [X1,X4,X12,X5,X6,X7,X13,X14,X15] :
      ( ( organization(X1,X13)
        & organization(X4,X13)
        & organization(X4,X15)
        & class(X1,X5,X13)
        & class(X4,X5,X13)
        & reorganization(X1,X13,X14)
        & reorganization(X4,X13,X15)
        & reorganization_type(X1,X12,X13)
        & reorganization_type(X4,X12,X13)
        & size(X1,X6,X13)
        & size(X4,X7,X13)
        & greater(X7,X6) )
     => greater(X15,X14) ),
    file('theBenchmark.p',t17_FOL) ).

% NEGATING CONJECTURE
fof(t17_FOL_nc,negated_conjecture,
    ~ ! [X1,X4,X12,X5,X6,X7,X13,X14,X15] :
        ( ( organization(X1,X13)
          & organization(X4,X13)
          & organization(X4,X15)
          & class(X1,X5,X13)
          & class(X4,X5,X13)
          & reorganization(X1,X13,X14)
          & reorganization(X4,X13,X15)
          & reorganization_type(X1,X12,X13)
          & reorganization_type(X4,X12,X13)
          & size(X1,X6,X13)
          & size(X4,X7,X13)
          & greater(X7,X6) )
       => greater(X15,X14) ),
    inference(negating_conjecture,[status(cth)],[t17_FOL]) ).

% FOF SIMPLE INFERENCE
fof(t17_FOL_nc_elimTB,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ( organization(X1,X7)
          & organization(X2,X7)
          & organization(X2,X9)
          & class(X1,X4,X7)
          & class(X2,X4,X7)
          & reorganization(X1,X7,X8)
          & reorganization(X2,X7,X9)
          & reorganization_type(X1,X3,X7)
          & reorganization_type(X2,X3,X7)
          & size(X1,X5,X7)
          & size(X2,X6,X7)
          & greater(X6,X5) )
       => greater(X9,X8) ),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[t17_FOL_nc])]) ).

% FOF SIMPLE INFERENCE
fof(t17_FOL_nc_elimImpEquivPushNegMiniScope,negated_conjecture,
    ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( organization(X1,X7)
      & organization(X2,X7)
      & organization(X2,X9)
      & class(X1,X4,X7)
      & class(X2,X4,X7)
      & reorganization(X1,X7,X8)
      & reorganization(X2,X7,X9)
      & reorganization_type(X1,X3,X7)
      & reorganization_type(X2,X3,X7)
      & size(X1,X5,X7)
      & size(X2,X6,X7)
      & greater(X6,X5)
      & ~ greater(X9,X8) ),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[t17_FOL_nc_elimTB]) ).

% FOF SKOLEM INFERENCE. WIP!!
fof(t17_FOL_nc_skol,negated_conjecture,
    ( organization(skc2,skc8)
    & organization(skc3,skc8)
    & organization(skc3,skc10)
    & class(skc2,skc5,skc8)
    & class(skc3,skc5,skc8)
    & reorganization(skc2,skc8,skc9)
    & reorganization(skc3,skc8,skc10)
    & reorganization_type(skc2,skc4,skc8)
    & reorganization_type(skc3,skc4,skc8)
    & size(skc2,skc6,skc8)
    & size(skc3,skc7,skc8)
    & greater(skc7,skc6)
    & ~ greater(skc10,skc9) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[skc2,skc3,skc4,skc5,skc6,skc7,skc8,skc9,skc10]),skolemize(X1,skc2),skolemize(X2,skc3),skolemize(X3,skc4),skolemize(X4,skc5),skolemize(X5,skc6),skolemize(X6,skc7),skolemize(X7,skc8),skolemize(X8,skc9),skolemize(X9,skc10)],[t17_FOL_nc_elimImpEquivPushNegMiniScope]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_9,plain,
    reorganization(skc2,skc8,skc9),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_10,plain,
    reorganization(skc3,skc8,skc10),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_11,plain,
    reorganization_type(skc2,skc4,skc8),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_12,plain,
    reorganization_type(skc3,skc4,skc8),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_7,plain,
    class(skc2,skc5,skc8),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_8,plain,
    class(skc3,skc5,skc8),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_13,plain,
    size(skc2,skc6,skc8),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_14,plain,
    size(skc3,skc7,skc8),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_16,plain,
    ~ greater(skc10,skc9),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_4,plain,
    organization(skc2,skc8),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_5,plain,
    organization(skc3,skc8),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_6,plain,
    organization(skc3,skc10),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_15,plain,
    greater(skc7,skc6),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[t17_FOL_nc_skol])]) ).

% CNF SPASS RESOLUTION.
cnf(c_19,plain,
    $false,
    inference(resolution,[status(thm)],[c_18,c_1,c_9,c_10,c_11,c_12,c_7,c_8,c_13,c_14,c_16,c_4,c_5,c_6,c_15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT017+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n018.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep  7 11:58:52 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running /export/starexec/sandbox/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.40  
% 0.10/0.40  % Input Clauses:
% 0.10/0.40  % 1:2:2:INP:TopTop: organization(x0,x1) -> inertia(x0,skf1(x0,x1),x1)
% 0.10/0.40  % 2:10:9:INP:TopTopTopTopTopTopTopTopTop: organization(x0,x1),organization(x2,x3),class(x0,x4,x1),class(x2,x4,x3),size(x0,x5,x1),size(x2,x6,x3),inertia(x0,x7,x1),inertia(x2,x8,x3),greater(x6,x5) -> greater(x8,x7)
% 0.10/0.40  % 3:13:9:INP:TopTopTopTopTopTopTopTopTop: organization(x0,x1),organization(x2,x1),organization(x2,x3),class(x0,x4,x1),class(x2,x4,x1),reorganization(x0,x1,x5),reorganization(x2,x1,x3),reorganization_type(x0,x6,x1),reorganization_type(x2,x6,x1),inertia(x0,x7,x1),inertia(x2,x8,x1),greater(x8,x7) -> greater(x3,x5)
% 0.10/0.40  % 4:1:0:INP::  -> organization(skc2,skc8)
% 0.10/0.40  % 5:1:0:INP::  -> organization(skc3,skc8)
% 0.10/0.40  % 6:1:0:INP::  -> organization(skc3,skc10)
% 0.10/0.40  % 7:1:0:INP::  -> class(skc2,skc5,skc8)
% 0.10/0.40  % 8:1:0:INP::  -> class(skc3,skc5,skc8)
% 0.10/0.40  % 9:1:0:INP::  -> reorganization(skc2,skc8,skc9)
% 0.10/0.40  % 10:1:0:INP::  -> reorganization(skc3,skc8,skc10)
% 0.10/0.40  % 11:1:0:INP::  -> reorganization_type(skc2,skc4,skc8)
% 0.10/0.40  % 12:1:0:INP::  -> reorganization_type(skc3,skc4,skc8)
% 0.10/0.40  % 13:1:0:INP::  -> size(skc2,skc6,skc8)
% 0.10/0.40  % 14:1:0:INP::  -> size(skc3,skc7,skc8)
% 0.10/0.40  % 15:1:0:INP::  -> greater(skc7,skc6)
% 0.10/0.40  % 16:1:0:INP:: greater(skc10,skc9) -> 
% 0.10/0.40  
% 0.10/0.40  % Predicates: organization inertia class size greater reorganization reorganization_type 
% 0.10/0.40  % Fol Constants: skc2 skc3 skc4 skc5 skc6 skc7 skc8 skc9 skc10 
% 0.10/0.40  % Fol Functions: skf1 
% 0.10/0.40  % Problem Properties:
% 0.10/0.40  % This is a full first-order problem without equality. The Problem is non-linear. 
% 0.10/0.40  
% 0.10/0.40  
% 0.10/0.40  % Reduced Input Axiom Clauses:
% 0.10/0.40  % 1:2:2:INP:TopTop: organization(x0,x1) -> inertia(x0,skf1(x0,x1),x1)
% 0.10/0.40  
% 0.10/0.40  % Reduced Input Conjecture Clauses:
% 0.10/0.40  % 2:10:9:INP:TopTopTopTopTopTopTopTopTop: organization(x0,x1),organization(x2,x3),class(x0,x4,x1),class(x2,x4,x3),size(x0,x5,x1),size(x2,x6,x3),inertia(x0,x7,x1),inertia(x2,x8,x3),greater(x6,x5) -> greater(x8,x7)
% 0.10/0.40  % 3:13:9:INP:TopTopTopTopTopTopTopTopTop: organization(x0,x1),organization(x2,x1),organization(x2,x3),class(x0,x4,x1),class(x2,x4,x1),reorganization(x0,x1,x5),reorganization(x2,x1,x3),reorganization_type(x0,x6,x1),reorganization_type(x2,x6,x1),inertia(x0,x7,x1),inertia(x2,x8,x1),greater(x8,x7) -> greater(x3,x5)
% 0.10/0.40  % 4:1:0:INP::  -> organization(skc2,skc8)
% 0.10/0.40  % 5:1:0:INP::  -> organization(skc3,skc8)
% 0.10/0.40  % 6:1:0:INP::  -> organization(skc3,skc10)
% 0.10/0.40  % 7:1:0:INP::  -> class(skc2,skc5,skc8)
% 0.10/0.40  % 8:1:0:INP::  -> class(skc3,skc5,skc8)
% 0.10/0.40  % 9:1:0:INP::  -> reorganization(skc2,skc8,skc9)
% 0.10/0.40  % 10:1:0:INP::  -> reorganization(skc3,skc8,skc10)
% 0.10/0.40  % 11:1:0:INP::  -> reorganization_type(skc2,skc4,skc8)
% 0.10/0.40  % 12:1:0:INP::  -> reorganization_type(skc3,skc4,skc8)
% 0.10/0.40  % 13:1:0:INP::  -> size(skc2,skc6,skc8)
% 0.10/0.40  % 14:1:0:INP::  -> size(skc3,skc7,skc8)
% 0.10/0.40  % 15:1:0:INP::  -> greater(skc7,skc6)
% 0.10/0.40  % 16:1:0:INP:: greater(skc10,skc9) -> 
% 0.10/0.40  
% 0.10/0.40  
% 0.10/0.40  % === Starting SPASS-SCL-FOL A Little Less Naive, considering 38 atoms initially. Used heuristic: lmodel_grow ===
% 0.10/0.40  
% 0.10/0.40  
% 0.10/0.40  
% 0.10/0.40  % SZS status Theorem
% 0.10/0.40  % Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.40  
% 0.10/0.40  % SPASS-SCL-FOL Statistics:
% 0.10/0.40  % Number of learned clauses: 2
% 0.10/0.40  % Number of propagations: 39
% 0.10/0.40  % Number of decisions: 34
% 0.10/0.40  % Number of resolutions: 17
% 0.10/0.40  % Number of condensations: 0
% 0.10/0.40  % Number of sub resolutions: 0
% 0.10/0.40  
% 0.10/0.40  % Solver is done. Empty clause found
% 0.10/0.40  
% 0.10/0.40  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.10/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.40  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.10/0.40  
% 0.10/0.40  
% 0.10/0.40  % Needed:       0:00:00.03
% 0.10/0.40  
% 0.10/0.40  % ###
% 0.10/0.40  % ### Pagesize: 8192
% 0.10/0.40  % ### Marksize: 0
% 0.10/0.40  % ### Memory demanded:  1382 KBytes
% 0.10/0.40  % ### Memory freed:     1382 KBytes
% 0.10/0.40  % ### Memory remaining: 0 Bytes
% 0.10/0.40  % ### Pages allocated:  258 Pages
% 0.10/0.40  % ###
%------------------------------------------------------------------------------