TSTP Solution File: SYN918+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN918+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n001.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 01:48:03 EDT 2023

% Result   : Theorem 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN918+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 19:11:16 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.55  start to proof:theBenchmark
% 0.20/0.59  %-------------------------------------------
% 0.20/0.59  % File        :CSE---1.6
% 0.20/0.59  % Problem     :theBenchmark
% 0.20/0.59  % Transform   :cnf
% 0.20/0.59  % Format      :tptp:raw
% 0.20/0.59  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.59  
% 0.20/0.59  % Result      :Theorem 0.000000s
% 0.20/0.59  % Output      :CNFRefutation 0.000000s
% 0.20/0.59  %-------------------------------------------
% 0.20/0.60  %--------------------------------------------------------------------------
% 0.20/0.60  % File     : SYN918+1 : TPTP v8.1.2. Released v3.1.0.
% 0.20/0.60  % Domain   : Syntactic
% 0.20/0.60  % Problem  : From Smullyan
% 0.20/0.60  % Version  : Especial.
% 0.20/0.60  % English  :
% 0.20/0.60  
% 0.20/0.60  % Refs     : [Smu68] Smullyan (1968), First-Order Logic
% 0.20/0.60  %            [Shu04] Shults (2004), Email to G. Sutcliffe
% 0.20/0.60  % Source   : [Shu04]
% 0.20/0.60  % Names    :
% 0.20/0.60  
% 0.20/0.60  % Status   : Theorem
% 0.20/0.60  % Rating   : 0.00 v8.1.0, 0.07 v7.5.0, 0.05 v7.4.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0, 0.10 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v3.1.0
% 0.20/0.60  % Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
% 0.20/0.60  %            Number of atoms       :   15 (   0 equ)
% 0.20/0.60  %            Maximal formula atoms :   15 (  15 avg)
% 0.20/0.60  %            Number of connectives :   16 (   2   ~;   1   |;   6   &)
% 0.20/0.60  %                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
% 0.20/0.60  %            Maximal formula depth :    8 (   8 avg)
% 0.20/0.60  %            Maximal term depth    :    1 (   1 avg)
% 0.20/0.60  %            Number of predicates  :    3 (   3 usr;   0 prp; 1-1 aty)
% 0.20/0.60  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.20/0.60  %            Number of variables   :    6 (   4   !;   2   ?)
% 0.20/0.60  % SPC      : FOF_THM_RFO_NEQ
% 0.20/0.60  
% 0.20/0.60  % Comments :
% 0.20/0.60  %--------------------------------------------------------------------------
% 0.20/0.60  fof(prove_this,conjecture,
% 0.20/0.60      ( ( ! [X] :
% 0.20/0.60            ( ( ( f(X)
% 0.20/0.60                & g(X) )
% 0.20/0.60             => h(X) )
% 0.20/0.60           => ? [Y] :
% 0.20/0.60                ( f(Y)
% 0.20/0.60                & ~ g(Y) ) )
% 0.20/0.60        & ( ! [W] :
% 0.20/0.60              ( f(W)
% 0.20/0.60             => g(W) )
% 0.20/0.60          | ! [Z] :
% 0.20/0.60              ( f(Z)
% 0.20/0.60             => h(Z) ) ) )
% 0.20/0.60     => ( ! [R] :
% 0.20/0.60            ( ( f(R)
% 0.20/0.60              & h(R) )
% 0.20/0.60           => g(R) )
% 0.20/0.60       => ? [V] :
% 0.20/0.60            ( f(V)
% 0.20/0.60            & g(V)
% 0.20/0.60            & ~ h(V) ) ) ) ).
% 0.20/0.60  
% 0.20/0.60  %--------------------------------------------------------------------------
% 0.20/0.60  %-------------------------------------------
% 0.20/0.60  % Proof found
% 0.20/0.60  % SZS status Theorem for theBenchmark
% 0.20/0.60  % SZS output start Proof
% 0.20/0.60  %ClaNum:9(EqnAxiom:0)
% 0.20/0.60  %VarNum:14(SingletonVarNum:8)
% 0.20/0.60  %MaxLitNum:4
% 0.20/0.60  %MaxfuncDepth:0
% 0.20/0.60  %SharedTerms:3
% 0.20/0.60  %goalClause: 1 3 4 6 7 8 9
% 0.20/0.60  [1]P1(x11)+P1(a1)
% 0.20/0.60  [3]P1(x31)+~P2(a1)
% 0.20/0.60  [4]P2(x41)+~P2(a1)
% 0.20/0.60  [6]~P3(x61)+~P2(a1)
% 0.20/0.60  [7]~P1(x71)+~P3(x71)+P2(x71)
% 0.20/0.60  [8]~P1(x81)+~P2(x81)+P3(x81)
% 0.20/0.60  [9]~P1(x92)+~P1(x91)+P2(x91)+P3(x92)
% 0.20/0.60  %EqnAxiom
% 0.20/0.60  
% 0.20/0.60  %-------------------------------------------
% 0.20/0.60  cnf(10,plain,
% 0.20/0.60     (~P3(a1)+P2(a1)),
% 0.20/0.60     inference(scs_inference,[],[1,7])).
% 0.20/0.60  cnf(11,plain,
% 0.20/0.60     (~P2(x111)+P3(x111)+~P2(a1)),
% 0.20/0.60     inference(scs_inference,[],[3,8])).
% 0.20/0.60  cnf(12,plain,
% 0.20/0.60     (P3(x121)+~P2(a1)),
% 0.20/0.60     inference(scs_inference,[],[4,11])).
% 0.20/0.60  cnf(13,plain,
% 0.20/0.60     (~P2(a1)),
% 0.20/0.60     inference(scs_inference,[],[6,12])).
% 0.20/0.60  cnf(14,plain,
% 0.20/0.60     (~P3(a1)),
% 0.20/0.60     inference(scs_inference,[],[13,10])).
% 0.20/0.60  cnf(16,plain,
% 0.20/0.60     ($false),
% 0.20/0.60     inference(scs_inference,[],[13,14,9,1]),
% 0.20/0.60     ['proof']).
% 0.20/0.60  % SZS output end Proof
% 0.20/0.60  % Total time :0.000000s
%------------------------------------------------------------------------------