TSTP Solution File: SWV253-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWV253-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n032.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 : Thu Aug 31 21:32:28 EDT 2023

% Result   : Unsatisfiable 0.13s 0.52s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SWV253-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Tue Aug 29 08:30:31 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.13/0.48  start to proof:theBenchmark
% 0.13/0.51  %-------------------------------------------
% 0.13/0.51  % File        :CSE---1.6
% 0.13/0.51  % Problem     :theBenchmark
% 0.13/0.51  % Transform   :cnf
% 0.13/0.51  % Format      :tptp:raw
% 0.13/0.51  % Command     :java -jar mcs_scs.jar %d %s
% 0.13/0.51  
% 0.13/0.51  % Result      :Theorem 0.000000s
% 0.13/0.51  % Output      :CNFRefutation 0.000000s
% 0.13/0.51  %-------------------------------------------
% 0.13/0.52  %------------------------------------------------------------------------------
% 0.13/0.52  % File     : SWV253-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.52  % Domain   : Software Verification (Security)
% 0.13/0.52  % Problem  : Cryptographic protocol problem for messages
% 0.13/0.52  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.13/0.52  % English  :
% 0.13/0.52  
% 0.13/0.52  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.13/0.52  % Source   : [Pau06]
% 0.13/0.52  % Names    :
% 0.13/0.52  
% 0.13/0.52  % Status   : Unsatisfiable
% 0.13/0.52  % Rating   : 0.06 v8.1.0, 0.11 v7.5.0, 0.06 v7.4.0, 0.00 v7.3.0, 0.08 v7.2.0, 0.00 v6.3.0, 0.10 v6.2.0, 0.20 v6.1.0, 0.09 v6.0.0, 0.00 v5.3.0, 0.10 v5.2.0, 0.00 v3.7.0, 0.14 v3.4.0, 0.17 v3.3.0, 0.11 v3.2.0
% 0.13/0.52  % Syntax   : Number of clauses     :    3 (   1 unt;   1 nHn;   2 RR)
% 0.13/0.52  %            Number of literals    :    5 (   5 equ;   2 neg)
% 0.13/0.52  %            Maximal clause size   :    2 (   1 avg)
% 0.13/0.52  %            Maximal term depth    :    3 (   1 avg)
% 0.13/0.52  %            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
% 0.13/0.52  %            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
% 0.13/0.52  %            Number of variables   :    1 (   0 sgn)
% 0.13/0.52  % SPC      : CNF_UNS_RFO_PEQ_NUE
% 0.13/0.52  
% 0.13/0.52  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.13/0.52  %            of which only a small selection are required for the refutation.
% 0.13/0.52  %            The mission is to find those few axioms, after which a refutation
% 0.13/0.52  %            can be quite easily found. This version has only the necessary
% 0.13/0.52  %            axioms.
% 0.13/0.52  %------------------------------------------------------------------------------
% 0.13/0.52  cnf(cls_conjecture_0,negated_conjecture,
% 0.13/0.52      ( v_K != v_K_H
% 0.13/0.52      | c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ) ).
% 0.13/0.52  
% 0.13/0.52  cnf(cls_conjecture_1,negated_conjecture,
% 0.13/0.52      ( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)
% 0.13/0.52      | v_K = v_K_H ) ).
% 0.13/0.52  
% 0.13/0.52  cnf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,
% 0.13/0.52      c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y ).
% 0.13/0.52  
% 0.13/0.52  %------------------------------------------------------------------------------
% 0.13/0.52  %-------------------------------------------
% 0.13/0.52  % Proof found
% 0.13/0.52  % SZS status Theorem for theBenchmark
% 0.13/0.52  % SZS output start Proof
% 0.13/0.52  %ClaNum:7(EqnAxiom:4)
% 0.13/0.52  %VarNum:2(SingletonVarNum:1)
% 0.13/0.52  %MaxLitNum:2
% 0.13/0.52  %MaxfuncDepth:2
% 0.13/0.52  %SharedTerms:8
% 0.13/0.52  %goalClause: 6 7
% 0.13/0.52  [5]E(f1(f1(x51)),x51)
% 0.13/0.52  [6]E(a2,a3)+E(f1(a2),f1(a3))
% 0.13/0.52  [7]~E(a2,a3)+~E(f1(a2),f1(a3))
% 0.13/0.52  %EqnAxiom
% 0.13/0.52  [1]E(x11,x11)
% 0.13/0.52  [2]E(x22,x21)+~E(x21,x22)
% 0.13/0.52  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.13/0.52  [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.13/0.52  
% 0.13/0.52  %-------------------------------------------
% 0.13/0.52  cnf(8,plain,
% 0.13/0.52     (E(x81,f1(f1(x81)))),
% 0.13/0.52     inference(scs_inference,[],[5,2])).
% 0.13/0.52  cnf(9,plain,
% 0.13/0.52     (E(f1(a2),f1(a3))),
% 0.13/0.52     inference(scs_inference,[],[4,6])).
% 0.13/0.52  cnf(10,plain,
% 0.13/0.52     (~E(a2,a3)),
% 0.13/0.52     inference(scs_inference,[],[9,7])).
% 0.13/0.52  cnf(11,plain,
% 0.13/0.52     (E(f1(f1(a2)),f1(f1(a3)))),
% 0.13/0.52     inference(scs_inference,[],[9,4])).
% 0.13/0.52  cnf(14,plain,
% 0.13/0.52     (~E(f1(f1(a3)),a2)),
% 0.13/0.52     inference(scs_inference,[],[10,8,2,3])).
% 0.13/0.52  cnf(16,plain,
% 0.13/0.52     (~E(f1(f1(a3)),f1(f1(a2)))),
% 0.13/0.52     inference(scs_inference,[],[5,14,2,3])).
% 0.13/0.52  cnf(20,plain,
% 0.13/0.52     ($false),
% 0.13/0.52     inference(scs_inference,[],[11,16,2]),
% 0.13/0.52     ['proof']).
% 0.13/0.52  % SZS output end Proof
% 0.13/0.52  % Total time :0.000000s
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