TSTP Solution File: SWV257-2 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWV257-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% 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 : Tue May 21 05:50:58 EDT 2024

% Result   : Unsatisfiable 2.41s 1.58s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   18 (   1 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   97 (  10   ~;   4   |;   0   &;  83   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   10 (   0   ^  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
    c_lessequals: $i > $i > $i > $o ).

thf(c_Message_Oparts_type,type,
    c_Message_Oparts: $i > $i ).

thf(v_H_type,type,
    v_H: $i ).

thf(c_Message_Oanalz_type,type,
    c_Message_Oanalz: $i > $i ).

thf(tc_set_type,type,
    tc_set: $i > $i ).

thf(tc_Message_Omsg_type,type,
    tc_Message_Omsg: $i ).

thf(3,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
      | ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).

thf(7,plain,
    ! [B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
      | ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(8,plain,
    ! [B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
      | ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
    inference(cnf,[status(esa)],[7]) ).

thf(1,negated_conjecture,
    ~ ( c_lessequals @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Oparts @ ( c_Message_Oanalz @ v_H ) ) @ ( tc_set @ tc_Message_Omsg ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(4,plain,
    ~ ( c_lessequals @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Oparts @ ( c_Message_Oanalz @ v_H ) ) @ ( tc_set @ tc_Message_Omsg ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(5,plain,
    ~ ( c_lessequals @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Oparts @ ( c_Message_Oanalz @ v_H ) ) @ ( tc_set @ tc_Message_Omsg ) ),
    inference(polarity_switch,[status(thm)],[4]) ).

thf(12,plain,
    ! [B: $i,A: $i] :
      ( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
      | ( ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) )
       != ( c_lessequals @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Oparts @ ( c_Message_Oanalz @ v_H ) ) @ ( tc_set @ tc_Message_Omsg ) ) ) ),
    inference(paramod_ordered,[status(thm)],[8,5]) ).

thf(13,plain,
    ~ ( c_lessequals @ v_H @ ( c_Message_Oanalz @ v_H ) @ ( tc_set @ tc_Message_Omsg ) ),
    inference(pattern_uni,[status(thm)],[12:[bind(A,$thf( v_H )),bind(B,$thf( c_Message_Oanalz @ v_H ))]]) ).

thf(2,axiom,
    ! [A: $i] : ( c_lessequals @ A @ ( c_Message_Oanalz @ A ) @ ( tc_set @ tc_Message_Omsg ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__increasing_0) ).

thf(6,plain,
    ! [A: $i] : ( c_lessequals @ A @ ( c_Message_Oanalz @ A ) @ ( tc_set @ tc_Message_Omsg ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(20,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[13,6]) ).

thf(21,plain,
    $false,
    inference(simp,[status(thm)],[20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem  : SWV257-2 : TPTP v8.2.0. Released v3.2.0.
% 0.15/0.18  % Command  : run_Leo-III %s %d
% 0.16/0.39  % Computer : n013.cluster.edu
% 0.16/0.39  % Model    : x86_64 x86_64
% 0.16/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39  % Memory   : 8042.1875MB
% 0.16/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39  % CPULimit : 300
% 0.16/0.39  % WCLimit  : 300
% 0.16/0.40  % DateTime : Sun May 19 07:26:39 EDT 2024
% 0.16/0.40  % CPUTime  : 
% 0.91/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.13/0.96  % [INFO] 	 Parsing done (101ms). 
% 1.13/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.50/1.20  % [INFO] 	 nitpick registered as external prover. 
% 1.50/1.20  % [INFO] 	 Scanning for conjecture ... 
% 1.70/1.25  % [INFO] 	 Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ... 
% 1.74/1.27  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 1.74/1.28  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.74/1.28  % [INFO] 	 Type checking passed. 
% 1.74/1.28  % [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 ... 
% 2.41/1.58  % [INFO] 	 Killing All external provers ... 
% 2.41/1.58  % Time passed: 1031ms (effective reasoning time: 605ms)
% 2.41/1.58  % Axioms used in derivation (2): cls_Message_Oparts__mono_0, cls_Message_Oanalz__increasing_0
% 2.41/1.58  % No. of inferences in proof: 12
% 2.41/1.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1031 ms resp. 605 ms w/o parsing
% 2.65/1.67  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.65/1.67  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------