TSTP Solution File: SYN315+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN315+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n028.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 01:45:08 EDT 2023

% Result   : Theorem 0.20s 0.61s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN315+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34  % Computer : n028.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit   : 300
% 0.17/0.34  % WCLimit    : 300
% 0.17/0.34  % DateTime   : Sat Aug 26 17:52:52 EDT 2023
% 0.17/0.34  % CPUTime    : 
% 0.20/0.56  start to proof:theBenchmark
% 0.20/0.61  %-------------------------------------------
% 0.20/0.61  % File        :CSE---1.6
% 0.20/0.61  % Problem     :theBenchmark
% 0.20/0.61  % Transform   :cnf
% 0.20/0.61  % Format      :tptp:raw
% 0.20/0.61  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.61  
% 0.20/0.61  % Result      :Theorem 0.000000s
% 0.20/0.61  % Output      :CNFRefutation 0.000000s
% 0.20/0.61  %-------------------------------------------
% 0.20/0.61  %--------------------------------------------------------------------------
% 0.20/0.61  % File     : SYN315+1 : TPTP v8.1.2. Released v2.0.0.
% 0.20/0.61  % Domain   : Syntactic
% 0.20/0.61  % Problem  : Church problem 46.2 (1)
% 0.20/0.61  % Version  : Especial.
% 0.20/0.61  % English  :
% 0.20/0.61  
% 0.20/0.61  % Refs     : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.20/0.61  % Source   : [Chu56]
% 0.20/0.61  % Names    : 46.2 (1) [Chu56]
% 0.20/0.61  
% 0.20/0.61  % Status   : Theorem
% 0.20/0.61  % Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.2.0, 0.22 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.20/0.61  % Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
% 0.20/0.61  %            Number of atoms       :    4 (   0 equ)
% 0.20/0.61  %            Maximal formula atoms :    4 (   4 avg)
% 0.20/0.61  %            Number of connectives :    3 (   0   ~;   0   |;   0   &)
% 0.20/0.61  %                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
% 0.20/0.61  %            Maximal formula depth :    5 (   5 avg)
% 0.20/0.61  %            Maximal term depth    :    1 (   1 avg)
% 0.20/0.61  %            Number of predicates  :    2 (   2 usr;   1 prp; 0-1 aty)
% 0.20/0.61  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.20/0.61  %            Number of variables   :    2 (   1   !;   1   ?)
% 0.20/0.61  % SPC      : FOF_THM_RFO_NEQ
% 0.20/0.61  
% 0.20/0.61  % Comments :
% 0.20/0.61  %--------------------------------------------------------------------------
% 0.20/0.61  fof(church_46_2_1,conjecture,
% 0.20/0.61      ? [X] :
% 0.20/0.61      ! [Y] :
% 0.20/0.61        ( ( big_f(X)
% 0.20/0.61        <=> p )
% 0.20/0.61       => ( big_f(Y)
% 0.20/0.61        <=> p ) ) ).
% 0.20/0.61  
% 0.20/0.61  %--------------------------------------------------------------------------
% 0.20/0.61  %-------------------------------------------
% 0.20/0.61  % Proof found
% 0.20/0.61  % SZS status Theorem for theBenchmark
% 0.20/0.61  % SZS output start Proof
% 0.20/0.62  %ClaNum:4(EqnAxiom:0)
% 0.20/0.62  %VarNum:2(SingletonVarNum:2)
% 0.20/0.62  %MaxLitNum:2
% 0.20/0.62  %MaxfuncDepth:0
% 0.20/0.62  %SharedTerms:6
% 0.20/0.62  %goalClause: 1 2 3 4
% 0.20/0.62  [1]P1(a500)+P2(a1)
% 0.20/0.62  [3]~P1(a500)+~P2(a1)
% 0.20/0.62  [2]P2(x21)+~P1(a500)
% 0.20/0.62  [4]~P2(x41)+P1(a500)
% 0.20/0.62  %EqnAxiom
% 0.20/0.62  
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  cnf(5,plain,
% 0.20/0.62     (P2(x51)+P2(a1)),
% 0.20/0.62     inference(scs_inference,[],[1,2])).
% 0.20/0.62  cnf(6,plain,
% 0.20/0.62     (P2(a1)),
% 0.20/0.62     inference(factoring_inference,[],[5])).
% 0.20/0.62  cnf(7,plain,
% 0.20/0.62     (~P1(a500)),
% 0.20/0.62     inference(scs_inference,[],[6,3])).
% 0.20/0.62  cnf(8,plain,
% 0.20/0.62     (P1(a500)),
% 0.20/0.62     inference(scs_inference,[],[6,4])).
% 0.20/0.62  cnf(9,plain,
% 0.20/0.62     ($false),
% 0.20/0.62     inference(scs_inference,[],[7,8]),
% 0.20/0.62     ['proof']).
% 0.20/0.62  % SZS output end Proof
% 0.20/0.62  % Total time :0.000000s
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