TSTP Solution File: SWV239-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWV239-2 : 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 : n031.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 21:32:23 EDT 2023

% Result   : Unsatisfiable 0.20s 0.62s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SWV239-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34  % Computer : n031.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 29 07:48:41 EDT 2023
% 0.12/0.35  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  % File        :CSE---1.6
% 0.20/0.62  % Problem     :theBenchmark
% 0.20/0.62  % Transform   :cnf
% 0.20/0.62  % Format      :tptp:raw
% 0.20/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.62  
% 0.20/0.62  % Result      :Theorem 0.000000s
% 0.20/0.62  % Output      :CNFRefutation 0.000000s
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  %------------------------------------------------------------------------------
% 0.20/0.62  % File     : SWV239-2 : TPTP v8.1.2. Released v3.2.0.
% 0.20/0.62  % Domain   : Software Verification (Security)
% 0.20/0.62  % Problem  : Cryptographic protocol problem for messages
% 0.20/0.62  % Version  : [Pau06] axioms : Reduced > Especial.
% 0.20/0.62  % English  :
% 0.20/0.62  
% 0.20/0.62  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.20/0.62  % Source   : [Pau06]
% 0.20/0.62  % Names    :
% 0.20/0.62  
% 0.20/0.62  % Status   : Unsatisfiable
% 0.20/0.62  % Rating   : 0.00 v6.3.0, 0.14 v6.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0
% 0.20/0.62  % Syntax   : Number of clauses     :    6 (   2 unt;   1 nHn;   4 RR)
% 0.20/0.62  %            Number of literals    :   11 (   0 equ;   5 neg)
% 0.20/0.62  %            Maximal clause size   :    3 (   1 avg)
% 0.20/0.62  %            Maximal term depth    :    4 (   1 avg)
% 0.20/0.62  %            Number of predicates  :    2 (   2 usr;   0 prp; 3-3 aty)
% 0.20/0.62  %            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
% 0.20/0.62  %            Number of variables   :   14 (   1 sgn)
% 0.20/0.62  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.62  
% 0.20/0.62  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.20/0.62  %            of which only a small selection are required for the refutation.
% 0.20/0.62  %            The mission is to find those few axioms, after which a refutation
% 0.20/0.62  %            can be quite easily found. This version has only the necessary
% 0.20/0.62  %            axioms.
% 0.20/0.62  %------------------------------------------------------------------------------
% 0.20/0.62  cnf(cls_conjecture_0,negated_conjecture,
% 0.20/0.62      ~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(cls_Message_Oanalz__analzD__dest_0,axiom,
% 0.20/0.62      ( ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 0.20/0.62      | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(cls_Message_Oanalz__subset__cong_0,axiom,
% 0.20/0.62      ( ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_set(tc_Message_Omsg))
% 0.20/0.62      | ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_set(tc_Message_Omsg))
% 0.20/0.62      | c_lessequals(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(V_G_H,V_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(cls_Set_OsubsetI_0,axiom,
% 0.20/0.62      ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
% 0.20/0.62      | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(cls_Set_OsubsetI_1,axiom,
% 0.20/0.62      ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
% 0.20/0.62      | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(cls_Set_Osubset__refl_0,axiom,
% 0.20/0.62      c_lessequals(V_A,V_A,tc_set(T_a)) ).
% 0.20/0.62  
% 0.20/0.62  %------------------------------------------------------------------------------
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  % Proof found
% 0.20/0.62  % SZS status Theorem for theBenchmark
% 0.20/0.62  % SZS output start Proof
% 0.20/0.62  %ClaNum:6(EqnAxiom:0)
% 0.20/0.62  %VarNum:31(SingletonVarNum:14)
% 0.20/0.62  %MaxLitNum:3
% 0.20/0.62  %MaxfuncDepth:3
% 0.20/0.62  %SharedTerms:10
% 0.20/0.62  %goalClause: 2
% 0.20/0.62  %singleGoalClaCount:1
% 0.20/0.62  [2]~P1(f2(f5(f2(a6),a7,a4)),f2(f5(a6,a7,a4)),f1(a4))
% 0.20/0.62  [1]P1(x11,x11,f1(x12))
% 0.20/0.62  [3]P2(x31,f2(x32),a4)+~P2(x31,f2(f2(x32)),a4)
% 0.20/0.62  [4]P2(f3(x41,x42,x43),x41,x43)+P1(x41,x42,f1(x43))
% 0.20/0.62  [5]~P2(f3(x51,x52,x53),x52,x53)+P1(x51,x52,f1(x53))
% 0.20/0.62  [6]~P1(f2(x61),f2(x63),f1(a4))+~P1(f2(x62),f2(x64),f1(a4))+P1(f2(f5(x61,x62,a4)),f2(f5(x63,x64,a4)),f1(a4))
% 0.20/0.62  %EqnAxiom
% 0.20/0.62  
% 0.20/0.62  %-------------------------------------------
% 0.20/0.63  cnf(9,plain,
% 0.20/0.63     (~P2(f3(f2(f2(a6)),f2(a6),a4),f2(a6),a4)),
% 0.20/0.63     inference(scs_inference,[],[2,1,6,5])).
% 0.20/0.63  cnf(11,plain,
% 0.20/0.63     (P2(f3(f2(f2(a6)),f2(a6),a4),f2(f2(a6)),a4)),
% 0.20/0.63     inference(scs_inference,[],[2,1,6,5,4])).
% 0.20/0.63  cnf(13,plain,
% 0.20/0.63     ($false),
% 0.20/0.63     inference(scs_inference,[],[11,9,3]),
% 0.20/0.63     ['proof']).
% 0.20/0.63  % SZS output end Proof
% 0.20/0.63  % Total time :0.000000s
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