↑ Up

Leo-III---1.8.0.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWV334-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:59:00 AM UTC 2026

% Result   : Unsatisfiable 2.46s 16.40s
% Output   : Refutation 2.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 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 :   10 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   8 con; 0-3 aty)
%            Number of variables   :    3 (   0   ^;   3   !;   0   ?;   3   :)

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

thf(c_Event_Oevent_OSays_decl,type,
    c_Event_Oevent_OSays: $i > $i > $i > $i ).

thf(v_A_decl,type,
    v_A: $i ).

thf(v_B_decl,type,
    v_B: $i ).

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

thf(c_Message_Omsg_OCrypt_decl,type,
    c_Message_Omsg_OCrypt: $i > $i > $i ).

thf(v_K_decl,type,
    v_K: $i ).

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

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

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

thf(v_evs4_decl,type,
    v_evs4: $i ).

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

thf(v_Xa_decl,type,
    v_Xa: $i ).

thf(2,negated_conjecture,
    tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs4 @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_Xa @ c_Message_Omsg_OMPair ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

thf(4,plain,
    tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs4 @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( v_Xa @ c_Message_Omsg_OMPair ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs4 @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( A @ c_Message_Omsg_OMPair ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).

thf(3,plain,
    ! [A: $i] :
      ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs4 @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( A @ c_Message_Omsg_OMPair ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(5,plain,
    ! [A: $i] :
      ~ ( tc_Event_Oevent @ ( tc_Event_Oevent @ ( v_evs4 @ c_List_Oset ) @ ( v_NB @ c_Message_Omsg_ONonce @ ( v_K @ c_Message_Omsg_OCrypt ) @ ( A @ c_Message_Omsg_OMPair ) @ ( v_B @ ( v_A @ c_Event_Oevent_OSays ) ) @ c_in ) ) ),
    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
% 0.00/0.03  % Problem  : SWV334-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.09/5.38   % Computer : n016.cluster.edu
% 0.09/5.38   % Model    : x86_64 x86_64
% 0.09/5.38   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38   % Memory   : 8046.5625MB
% 0.09/5.38   % OS       : Linux 6.8.0-71-generic
% 0.11/15.47  % CPULimit : 300
% 0.11/15.47  % WCLimit  : 300
% 0.11/15.47  % DateTime : Sat Sep 26 13:33:45 UTC 2026
% 0.11/15.48  % CPUTime  : 
% 0.11/15.48  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.38/15.77  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 0.38/15.86  % [INFO] 	 Parsing done (89ms). 
% 0.38/15.87  % [INFO] 	 Running in sequential loop mode. 
% 1.42/16.06  % [INFO] 	 eprover registered as external prover. 
% 1.42/16.07  % [INFO] 	 Scanning for conjecture ... 
% 1.42/16.11  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.69/16.13  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.69/16.13  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.69/16.13  % [INFO] 	 Type checking passed. 
% 1.69/16.14  % [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 ... 
% 2.13/16.40  % [INFO] 	 Killing All external provers ... 
% 2.46/16.40  % Time passed: 840ms (effective reasoning time: 528ms)
% 2.46/16.40  % Axioms used in derivation (0): 
% 2.46/16.40  % No. of inferences in proof: 7
% 2.46/16.40  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 840 ms resp. 528 ms w/o parsing
% 2.46/16.42  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.46/16.42  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------