TSTP Solution File: SYN986+1.000 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN986+1.000 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 01:48:16 EDT 2023

% Result   : Theorem 0.50s 0.62s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYN986+1.000 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat Aug 26 21:56:41 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.50/0.57  start to proof:theBenchmark
% 0.50/0.62  %-------------------------------------------
% 0.50/0.62  % File        :CSE---1.6
% 0.50/0.62  % Problem     :theBenchmark
% 0.50/0.62  % Transform   :cnf
% 0.50/0.62  % Format      :tptp:raw
% 0.50/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.50/0.62  
% 0.50/0.62  % Result      :Theorem 0.000000s
% 0.50/0.62  % Output      :CNFRefutation 0.000000s
% 0.50/0.62  %-------------------------------------------
% 0.50/0.62  %------------------------------------------------------------------------------
% 0.50/0.62  % File     : SYN986+1.000 : TPTP v8.1.2. Released v4.0.0.
% 0.50/0.62  % Domain   : Syntactic
% 0.50/0.62  % Problem  : Orevkov formula - size 0
% 0.50/0.62  % Version  : [TS00] axioms : Especial.
% 0.50/0.62  % English  : hyp(2,k,1) is defined. Each Ck has a non-normal natural deduction
% 0.50/0.62  %            of size linear in k, and each normal deduction of Ck has at least
% 0.50/0.62  %            hyp(2,k,1)=2_k nodes.
% 0.50/0.62  
% 0.50/0.62  % Refs     : [TS00]  Troelstra & Schwichtenberg (2000), Basic Proof Theory
% 0.50/0.62  %          : [Rat08] Raths (2008), Email to G. Sutcliffe
% 0.50/0.62  % Source   : [Rat08]
% 0.50/0.62  % Names    :
% 0.50/0.62  
% 0.50/0.62  % Status   : Theorem
% 0.50/0.62  % Rating   : 0.00 v5.3.0, 0.04 v5.2.0, 0.07 v5.1.0, 0.14 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.1, 0.47 v4.0.0
% 0.50/0.62  % Syntax   : Number of formulae    :    3 (   2 unt;   0 def)
% 0.50/0.62  %            Number of atoms       :    5 (   0 equ)
% 0.50/0.62  %            Maximal formula atoms :    3 (   1 avg)
% 0.50/0.62  %            Number of connectives :    2 (   0   ~;   0   |;   0   &)
% 0.50/0.62  %                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
% 0.50/0.62  %            Maximal formula depth :    7 (   4 avg)
% 0.50/0.62  %            Maximal term depth    :    2 (   1 avg)
% 0.50/0.62  %            Number of predicates  :    1 (   1 usr;   0 prp; 3-3 aty)
% 0.50/0.62  %            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
% 0.50/0.62  %            Number of variables   :    6 (   5   !;   1   ?)
% 0.50/0.62  % SPC      : FOF_THM_RFO_NEQ
% 0.50/0.62  
% 0.50/0.62  % Comments : Inspiration by Wolfgang Bibel, Helmut Schwichtenberg.
% 0.50/0.62  %          : The complexity of proof seach is hyper-exponential with the size
% 0.50/0.62  %            of the formulae: 2^0=1, 2^1=2, 2^2=4, 2^4=16, 2^16=65536,
% 0.50/0.62  %            2^65536 = mmmh... ?
% 0.50/0.62  %------------------------------------------------------------------------------
% 0.50/0.62  %----Include Orevkov formula
% 0.50/0.62  include('Axioms/SYN002+0.ax').
% 0.50/0.62  %------------------------------------------------------------------------------
% 0.50/0.62  fof(ck,conjecture,
% 0.50/0.62      ? [Z0] : r(zero,zero,Z0) ).
% 0.50/0.62  
% 0.50/0.62  %------------------------------------------------------------------------------
% 0.50/0.62  %-------------------------------------------
% 0.50/0.62  % Proof found
% 0.50/0.62  % SZS status Theorem for theBenchmark
% 0.50/0.62  % SZS output start Proof
% 0.50/0.62  %ClaNum:3(EqnAxiom:0)
% 0.50/0.62  %VarNum:12(SingletonVarNum:6)
% 0.50/0.62  %MaxLitNum:3
% 0.50/0.62  %MaxfuncDepth:1
% 0.50/0.62  %SharedTerms:1
% 0.50/0.62  %goalClause: 2
% 0.50/0.62  %singleGoalClaCount:1
% 0.50/0.62  [2]~P1(a1,a1,x21)
% 0.50/0.62  [1]P1(x11,a1,f2(x11))
% 0.50/0.62  [3]~P1(x31,x32,x34)+~P1(x34,x32,x33)+P1(x31,f2(x32),x33)
% 0.50/0.62  %EqnAxiom
% 0.50/0.62  
% 0.50/0.62  %-------------------------------------------
% 0.50/0.63  cnf(4,plain,
% 0.50/0.63     ($false),
% 0.50/0.63     inference(scs_inference,[],[2,1]),
% 0.50/0.63     ['proof']).
% 0.50/0.63  % SZS output end Proof
% 0.50/0.63  % Total time :0.000000s
%------------------------------------------------------------------------------