TSTP Solution File: SWW504_5 by Leo-III-SAT---1.7.15

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.15
% Problem  : SWW504_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d SAT

% Computer : n013.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 : Mon Jun 24 18:25:30 EDT 2024

% Result   : Theorem 6.09s 2.41s
% Output   : Refutation 6.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (  14 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (  15   ~;   1   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    8 (   8 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^   9   !;   8   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(com_type,type,
    com: $tType ).

thf(state_type,type,
    state: $tType ).

thf(bool_type,type,
    bool: $tType ).

thf(int_type,type,
    int: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(char_type,type,
    char: $tType ).

thf(literal_type,type,
    literal: $tType ).

thf(nibble_type,type,
    nibble: $tType ).

thf(sk1_type,type,
    sk1: state ).

thf(sk22_type,type,
    sk22: state ).

thf(sk23_type,type,
    sk23: state ).

thf(1,conjecture,
    ! [A: state] :
    ? [B: state] : ( B != A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

thf(2,negated_conjecture,
    ~ ! [A: state] :
      ? [B: state] : ( B != A ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(142,plain,
    ~ ! [A: state] :
      ? [B: state] : ( B != A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(143,plain,
    ~ ~ ? [A: state] :
        ! [B: state] : ( B = A ),
    inference(miniscope,[status(thm)],[142]) ).

thf(144,plain,
    ! [A: state] : ( A = sk1 ),
    inference(cnf,[status(esa)],[143]) ).

thf(145,plain,
    ! [A: state] : ( A = sk1 ),
    inference(lifteq,[status(thm)],[144]) ).

thf(141,axiom,
    ? [A: state,B: state] : ( A != B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(571,plain,
    ? [A: state,B: state] : ( A != B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).

thf(572,plain,
    ~ ! [A: state,B: state] : ( A = B ),
    inference(miniscope,[status(thm)],[571]) ).

thf(573,plain,
    sk22 != sk23,
    inference(cnf,[status(esa)],[572]) ).

thf(574,plain,
    sk23 != sk22,
    inference(lifteq,[status(thm)],[573]) ).

thf(583,plain,
    ! [A: state] :
      ( ( sk22 != sk1 )
      | ( A != sk23 ) ),
    inference(paramod_ordered,[status(thm)],[145,574]) ).

thf(584,plain,
    sk22 != sk1,
    inference(pattern_uni,[status(thm)],[583:[bind(A,$thf( sk23 ))]]) ).

thf(591,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[584,145]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW504_5 : TPTP v8.2.0. Released v6.0.0.
% 0.00/0.12  % Command  : run_Leo-III %s %d SAT
% 0.12/0.33  % Computer : n013.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 : Wed Jun 19 04:16:55 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 1.01/0.92  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.59/1.12  % [INFO] 	 Parsing done (201ms). 
% 1.59/1.12  % [INFO] 	 Running in sequential loop mode. 
% 2.08/1.32  % [INFO] 	 nitpick registered as external prover. 
% 2.38/1.33  % [INFO] 	 Scanning for conjecture ... 
% 2.60/1.43  % [INFO] 	 Found a conjecture (or negated_conjecture) and 139 axioms. Running axiom selection ... 
% 2.60/1.45  % [INFO] 	 Axiom selection finished. Selected 139 axioms (removed 0 axioms). 
% 3.03/1.58  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 3.03/1.60  % [INFO] 	 Type checking passed. 
% 3.03/1.61  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 3.53/1.72  % [INFO] 	 [Domain constraints] Detected constraint on state 
% 3.53/1.73  % [INFO] 	 [Domain constraints] dom(state) ⊆ {sk1} 
% 5.06/2.14  % [INFO] 	 [Domain constraints] Detected constraint on bool 
% 5.06/2.14  % [INFO] 	 [Domain constraints] dom(bool) ⊆ {fTrue,fFalse} 
% 5.06/2.14  % [INFO] 	 [Domain constraints] Detected constraint on bool 
% 5.06/2.14  % [INFO] 	 [Domain constraints] dom(bool) ⊆ {fTrue,fFalse} 
% 6.09/2.40  % [INFO] 	 Killing All external provers ... 
% 6.09/2.41  % Time passed: 1871ms (effective reasoning time: 1278ms)
% 6.09/2.41  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 6.09/2.41  % Axioms used in derivation (1): conj_0
% 6.09/2.41  % No. of inferences in proof: 14
% 6.09/2.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1871 ms resp. 1278 ms w/o parsing
% 6.09/2.42  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.09/2.42  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------