TSTP Solution File: SWV274-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV274-2 : 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 : n005.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 21:32:38 EDT 2023
% Result : Unsatisfiable 0.21s 0.67s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 07:44:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 % File :CSE---1.6
% 0.21/0.66 % Problem :theBenchmark
% 0.21/0.66 % Transform :cnf
% 0.21/0.66 % Format :tptp:raw
% 0.21/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.66
% 0.21/0.66 % Result :Theorem 0.010000s
% 0.21/0.66 % Output :CNFRefutation 0.010000s
% 0.21/0.66 %-------------------------------------------
% 0.21/0.67 %------------------------------------------------------------------------------
% 0.21/0.67 % File : SWV274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.21/0.67 % Domain : Software Verification (Security)
% 0.21/0.67 % Problem : Cryptographic protocol problem for messages
% 0.21/0.67 % Version : [Pau06] axioms : Reduced > Especial.
% 0.21/0.67 % English :
% 0.21/0.67
% 0.21/0.67 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.21/0.67 % Source : [Pau06]
% 0.21/0.67 % Names :
% 0.21/0.67
% 0.21/0.67 % Status : Unsatisfiable
% 0.21/0.67 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.10 v5.4.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.15 v4.0.1, 0.09 v4.0.0, 0.00 v3.3.0, 0.21 v3.2.0
% 0.21/0.67 % Syntax : Number of clauses : 8 ( 3 unt; 2 nHn; 7 RR)
% 0.21/0.67 % Number of literals : 15 ( 1 equ; 6 neg)
% 0.21/0.67 % Maximal clause size : 3 ( 1 avg)
% 0.21/0.67 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.67 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.21/0.67 % Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% 0.21/0.67 % Number of variables : 15 ( 0 sgn)
% 0.21/0.67 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.21/0.67
% 0.21/0.67 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.21/0.67 % of which only a small selection are required for the refutation.
% 0.21/0.67 % The mission is to find those few axioms, after which a refutation
% 0.21/0.67 % can be quite easily found. This version has only the necessary
% 0.21/0.67 % axioms.
% 0.21/0.67 %------------------------------------------------------------------------------
% 0.21/0.67 cnf(cls_Message_Osynth_OInj_0,axiom,
% 0.21/0.67 ( ~ c_in(V_X,V_H,tc_Message_Omsg)
% 0.21/0.67 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(cls_Message_Osynth__trans_0,axiom,
% 0.21/0.67 ( ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)
% 0.21/0.67 | ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
% 0.21/0.67 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(cls_Set_OinsertE_0,axiom,
% 0.21/0.67 ( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
% 0.21/0.67 | c_in(V_a,V_A,T_a)
% 0.21/0.67 | V_a = V_b ) ).
% 0.21/0.67
% 0.21/0.67 cnf(cls_Set_OsubsetI_0,axiom,
% 0.21/0.67 ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
% 0.21/0.67 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(cls_Set_OsubsetI_1,axiom,
% 0.21/0.67 ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
% 0.21/0.67 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(cls_conjecture_0,negated_conjecture,
% 0.21/0.67 c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ).
% 0.21/0.67
% 0.21/0.67 cnf(cls_conjecture_1,negated_conjecture,
% 0.21/0.67 c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ).
% 0.21/0.67
% 0.21/0.67 cnf(cls_conjecture_2,negated_conjecture,
% 0.21/0.67 ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ).
% 0.21/0.67
% 0.21/0.67 %------------------------------------------------------------------------------
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 % Proof found
% 0.21/0.67 % SZS status Theorem for theBenchmark
% 0.21/0.67 % SZS output start Proof
% 0.21/0.67 %ClaNum:25(EqnAxiom:17)
% 0.21/0.67 %VarNum:36(SingletonVarNum:15)
% 0.21/0.67 %MaxLitNum:3
% 0.21/0.67 %MaxfuncDepth:2
% 0.21/0.67 %SharedTerms:11
% 0.21/0.67 %goalClause: 18 19 20
% 0.21/0.67 %singleGoalClaCount:3
% 0.21/0.67 [18]P1(a1,f3(a2),a5)
% 0.21/0.67 [20]~P1(a8,f3(a2),a5)
% 0.21/0.67 [19]P1(a8,f3(f6(a1,a2,a5)),a5)
% 0.21/0.67 [21]~P1(x211,x212,a5)+P1(x211,f3(x212),a5)
% 0.21/0.67 [22]P1(f4(x221,x222,x223),x221,x223)+P2(x221,x222,f7(x223))
% 0.21/0.67 [25]~P1(f4(x251,x252,x253),x252,x253)+P2(x251,x252,f7(x253))
% 0.21/0.67 [23]~P2(x233,f3(x232),f7(a5))+P1(x231,f3(x232),a5)+~P1(x231,f3(x233),a5)
% 0.21/0.67 [24]E(x241,x242)+P1(x241,x243,x244)+~P1(x241,f6(x242,x243,x244),x244)
% 0.21/0.67 %EqnAxiom
% 0.21/0.67 [1]E(x11,x11)
% 0.21/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.67 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.21/0.67 [5]~E(x51,x52)+E(f6(x51,x53,x54),f6(x52,x53,x54))
% 0.21/0.67 [6]~E(x61,x62)+E(f6(x63,x61,x64),f6(x63,x62,x64))
% 0.21/0.67 [7]~E(x71,x72)+E(f6(x73,x74,x71),f6(x73,x74,x72))
% 0.21/0.67 [8]~E(x81,x82)+E(f4(x81,x83,x84),f4(x82,x83,x84))
% 0.21/0.67 [9]~E(x91,x92)+E(f4(x93,x91,x94),f4(x93,x92,x94))
% 0.21/0.67 [10]~E(x101,x102)+E(f4(x103,x104,x101),f4(x103,x104,x102))
% 0.21/0.67 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 0.21/0.67 [12]P1(x122,x123,x124)+~E(x121,x122)+~P1(x121,x123,x124)
% 0.21/0.67 [13]P1(x133,x132,x134)+~E(x131,x132)+~P1(x133,x131,x134)
% 0.21/0.67 [14]P1(x143,x144,x142)+~E(x141,x142)+~P1(x143,x144,x141)
% 0.21/0.67 [15]P2(x152,x153,x154)+~E(x151,x152)+~P2(x151,x153,x154)
% 0.21/0.67 [16]P2(x163,x162,x164)+~E(x161,x162)+~P2(x163,x161,x164)
% 0.21/0.67 [17]P2(x173,x174,x172)+~E(x171,x172)+~P2(x173,x174,x171)
% 0.21/0.67
% 0.21/0.67 %-------------------------------------------
% 0.21/0.68 cnf(26,plain,
% 0.21/0.68 (~P1(a8,a2,a5)),
% 0.21/0.68 inference(scs_inference,[],[20,21])).
% 0.21/0.68 cnf(28,plain,
% 0.21/0.68 (~E(a1,a8)),
% 0.21/0.68 inference(scs_inference,[],[18,20,19,21,13,12])).
% 0.21/0.68 cnf(34,plain,
% 0.21/0.68 (~P1(f4(f6(a1,a2,a5),f3(a2),a5),f3(a2),a5)),
% 0.21/0.68 inference(scs_inference,[],[18,20,19,21,13,12,23,2,17,4,25])).
% 0.21/0.68 cnf(36,plain,
% 0.21/0.68 (P1(f4(f6(a1,a2,a5),f3(a2),a5),f6(a1,a2,a5),a5)),
% 0.21/0.68 inference(scs_inference,[],[18,20,19,21,13,12,23,2,17,4,25,22])).
% 0.21/0.68 cnf(43,plain,
% 0.21/0.68 (~E(a1,f4(f6(a1,a2,a5),f3(a2),a5))),
% 0.21/0.68 inference(scs_inference,[],[18,34,21,12])).
% 0.21/0.68 cnf(51,plain,
% 0.21/0.68 (~P1(f4(f6(a1,a2,a5),f3(a2),a5),a2,a5)),
% 0.21/0.68 inference(scs_inference,[],[34,21])).
% 0.21/0.68 cnf(53,plain,
% 0.21/0.68 (E(f4(f6(a1,a2,a5),f3(a2),a5),a1)),
% 0.21/0.68 inference(scs_inference,[],[36,34,21,24])).
% 0.21/0.68 cnf(55,plain,
% 0.21/0.68 (P1(a1,f6(a1,a2,a5),a5)),
% 0.21/0.68 inference(scs_inference,[],[36,34,21,24,12])).
% 0.21/0.68 cnf(69,plain,
% 0.21/0.68 (~E(f4(f6(a1,a2,a5),f3(a2),a5),a8)),
% 0.21/0.68 inference(scs_inference,[],[19,26,28,55,36,21,2,24,13,12])).
% 0.21/0.68 cnf(80,plain,
% 0.21/0.68 ($false),
% 0.21/0.68 inference(scs_inference,[],[69,51,43,53,24,2]),
% 0.21/0.68 ['proof']).
% 0.21/0.68 % SZS output end Proof
% 0.21/0.68 % Total time :0.010000s
%------------------------------------------------------------------------------