TSTP Solution File: SWV284-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV284-2 : 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 : n022.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 21:32:42 EDT 2023
% Result : Unsatisfiable 0.55s 0.73s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV284-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 06:42:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.55/0.72 %-------------------------------------------
% 0.55/0.72 % File :CSE---1.6
% 0.55/0.72 % Problem :theBenchmark
% 0.55/0.72 % Transform :cnf
% 0.55/0.72 % Format :tptp:raw
% 0.55/0.72 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.72
% 0.55/0.72 % Result :Theorem 0.100000s
% 0.55/0.72 % Output :CNFRefutation 0.100000s
% 0.55/0.72 %-------------------------------------------
% 0.55/0.73 %------------------------------------------------------------------------------
% 0.55/0.73 % File : SWV284-2 : TPTP v8.1.2. Released v3.2.0.
% 0.55/0.73 % Domain : Software Verification (Security)
% 0.55/0.73 % Problem : Cryptographic protocol problem for shared
% 0.55/0.73 % Version : [Pau06] axioms : Reduced > Especial.
% 0.55/0.73 % English :
% 0.55/0.73
% 0.55/0.73 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.55/0.73 % Source : [Pau06]
% 0.55/0.73 % Names :
% 0.55/0.73
% 0.55/0.73 % Status : Unsatisfiable
% 0.55/0.73 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.00 v4.0.0, 0.14 v3.4.0, 0.00 v3.2.0
% 0.55/0.73 % Syntax : Number of clauses : 6 ( 1 unt; 1 nHn; 4 RR)
% 0.55/0.73 % Number of literals : 11 ( 0 equ; 6 neg)
% 0.55/0.73 % Maximal clause size : 2 ( 1 avg)
% 0.55/0.73 % Maximal term depth : 3 ( 1 avg)
% 0.55/0.73 % Number of predicates : 2 ( 2 usr; 0 prp; 3-3 aty)
% 0.55/0.73 % Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% 0.55/0.73 % Number of variables : 11 ( 2 sgn)
% 0.55/0.73 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.55/0.73
% 0.55/0.73 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.55/0.73 % of which only a small selection are required for the refutation.
% 0.55/0.73 % The mission is to find those few axioms, after which a refutation
% 0.55/0.73 % can be quite easily found. This version has only the necessary
% 0.55/0.73 % axioms.
% 0.55/0.73 %------------------------------------------------------------------------------
% 0.55/0.73 cnf(cls_conjecture_0,negated_conjecture,
% 0.55/0.73 c_lessequals(V_U,v_x(V_U),tc_nat) ).
% 0.55/0.73
% 0.55/0.73 cnf(cls_conjecture_1,negated_conjecture,
% 0.55/0.73 ( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Event_Oused(v_list),tc_Message_Omsg)
% 0.55/0.73 | ~ c_lessequals(v_N,V_U,tc_nat) ) ).
% 0.55/0.73
% 0.55/0.73 cnf(cls_conjecture_2,negated_conjecture,
% 0.55/0.73 ( c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Event_Oused(v_list),tc_Message_Omsg)
% 0.55/0.73 | c_in(c_Message_Omsg_ONonce(v_x(V_U)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ) ).
% 0.55/0.73
% 0.55/0.73 cnf(cls_Message_Omsg__Nonce__supply_0,axiom,
% 0.55/0.73 ( ~ c_in(c_Message_Omsg_ONonce(V_U),c_Message_Oparts(c_insert(V_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
% 0.55/0.73 | ~ c_lessequals(v_sko__upX(V_msg),V_U,tc_nat) ) ).
% 0.55/0.73
% 0.55/0.73 cnf(cls_Nat_Oadd__leE_0,axiom,
% 0.55/0.73 ( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
% 0.55/0.73 | c_lessequals(V_k,V_n,tc_nat) ) ).
% 0.55/0.73
% 0.55/0.73 cnf(cls_Nat_Oadd__leE_1,axiom,
% 0.55/0.73 ( ~ c_lessequals(c_plus(V_m,V_k,tc_nat),V_n,tc_nat)
% 0.55/0.73 | c_lessequals(V_m,V_n,tc_nat) ) ).
% 0.55/0.73
% 0.55/0.73 %------------------------------------------------------------------------------
% 0.55/0.73 %-------------------------------------------
% 0.55/0.73 % Proof found
% 0.55/0.73 % SZS status Theorem for theBenchmark
% 0.55/0.73 % SZS output start Proof
% 0.55/0.73 %ClaNum:6(EqnAxiom:0)
% 0.55/0.73 %VarNum:20(SingletonVarNum:11)
% 0.55/0.73 %MaxLitNum:2
% 0.55/0.73 %MaxfuncDepth:2
% 0.55/0.73 %SharedTerms:9
% 0.55/0.73 %goalClause: 1 2 5
% 0.55/0.73 %singleGoalClaCount:1
% 0.55/0.73 [1]P1(x11,f1(x11),a2)
% 0.55/0.73 [2]~P1(a10,x21,a2)+~P2(f3(x21),f4(a11),a5)
% 0.55/0.73 [5]P2(f3(f1(x51)),f8(f9(a12,a7,a5)),a5)+P2(f3(f1(x51)),f4(a11),a5)
% 0.55/0.73 [6]~P1(f13(x61),x62,a2)+~P2(f3(x62),f8(f9(x61,a7,a5)),a5)
% 0.55/0.73 [3]P1(x31,x32,a2)+~P1(f6(x33,x31,a2),x32,a2)
% 0.55/0.73 [4]P1(x41,x42,a2)+~P1(f6(x41,x43,a2),x42,a2)
% 0.55/0.73 %EqnAxiom
% 0.55/0.73
% 0.55/0.73 %-------------------------------------------
% 0.55/0.73 cnf(7,plain,
% 0.55/0.73 (P1(x71,f1(f6(x71,x72,a2)),a2)),
% 0.55/0.73 inference(scs_inference,[],[1,4])).
% 0.55/0.73 cnf(8,plain,
% 0.55/0.73 (P1(x81,f1(x81),a2)),
% 0.55/0.73 inference(rename_variables,[],[1])).
% 0.55/0.73 cnf(9,plain,
% 0.55/0.73 (P1(x91,f1(f6(x92,x91,a2)),a2)),
% 0.55/0.73 inference(scs_inference,[],[1,8,4,3])).
% 0.55/0.73 cnf(22,plain,
% 0.55/0.73 (P1(x221,f1(f6(f6(x221,x222,a2),x223,a2)),a2)),
% 0.55/0.73 inference(scs_inference,[],[7,4])).
% 0.55/0.73 cnf(33,plain,
% 0.55/0.73 (P1(x331,f1(f6(x332,x331,a2)),a2)),
% 0.55/0.73 inference(rename_variables,[],[9])).
% 0.55/0.73 cnf(36,plain,
% 0.55/0.73 (P1(x361,f1(f6(x362,x361,a2)),a2)),
% 0.55/0.73 inference(rename_variables,[],[9])).
% 0.55/0.73 cnf(38,plain,
% 0.55/0.73 (~P2(f3(f1(f6(x381,a10,a2))),f4(a11),a5)),
% 0.55/0.73 inference(scs_inference,[],[9,33,36,4,3,2])).
% 0.55/0.73 cnf(89,plain,
% 0.55/0.73 ($false),
% 0.55/0.73 inference(scs_inference,[],[22,38,6,5]),
% 0.55/0.73 ['proof']).
% 0.55/0.73 % SZS output end Proof
% 0.55/0.73 % Total time :0.100000s
%------------------------------------------------------------------------------