TSTP Solution File: SWV349-2 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SWV349-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n009.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 May 19 12:15:22 EDT 2023

% Result   : Unsatisfiable 2.46s 1.63s
% Output   : Refutation 2.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   18 (   7 unt;  11 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   68 (   3   ~;   0   |;   0   &;  65   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :    3 (   0   ^;   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_in_type,type,
    c_in: $i > $i > $i > $o ).

thf(c_Event_Oevent_ONotes_type,type,
    c_Event_Oevent_ONotes: $i > $i > $i ).

thf(c_Message_Oagent_OSpy_type,type,
    c_Message_Oagent_OSpy: $i ).

thf(c_Message_Omsg_OMPair_type,type,
    c_Message_Omsg_OMPair: $i > $i > $i ).

thf(c_Message_Omsg_ONonce_type,type,
    c_Message_Omsg_ONonce: $i > $i ).

thf(v_NA_type,type,
    v_NA: $i ).

thf(v_NB_type,type,
    v_NB: $i ).

thf(c_List_Oset_type,type,
    c_List_Oset: $i > $i > $i ).

thf(v_evso_type,type,
    v_evso: $i ).

thf(tc_Event_Oevent_type,type,
    tc_Event_Oevent: $i ).

thf(v_k_type,type,
    v_k: $i ).

thf(2,negated_conjecture,
    c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ v_k ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

thf(4,plain,
    c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ v_k ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ A ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

thf(3,plain,
    ! [A: $i] :
      ~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ A ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(5,plain,
    ! [A: $i] :
      ~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ A ) ) ) @ ( c_List_Oset @ v_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(6,plain,
    $false,
    inference(rewrite,[status(thm)],[4,5]) ).

thf(7,plain,
    $false,
    inference(simp,[status(thm)],[6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV349-2 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri May 19 02:15:34 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.97/0.91  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.14/1.03  % [INFO] 	 Parsing done (119ms). 
% 1.14/1.04  % [INFO] 	 Running in sequential loop mode. 
% 1.78/1.26  % [INFO] 	 eprover registered as external prover. 
% 1.78/1.26  % [INFO] 	 cvc4 registered as external prover. 
% 1.78/1.26  % [INFO] 	 Scanning for conjecture ... 
% 1.78/1.32  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.97/1.34  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.97/1.34  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.97/1.35  % [INFO] 	 Type checking passed. 
% 1.97/1.35  % [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 ... 
% 2.46/1.62  % [INFO] 	 Killing All external provers ... 
% 2.46/1.63  % Time passed: 1102ms (effective reasoning time: 583ms)
% 2.46/1.63  % 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)>
% 2.46/1.63  % Axioms used in derivation (0): 
% 2.46/1.63  % No. of inferences in proof: 7
% 2.46/1.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1102 ms resp. 583 ms w/o parsing
% 2.76/1.65  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.76/1.65  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------