TSTP Solution File: SWV250-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV250-2 : 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 : n009.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 21:32:27 EDT 2023
% Result : Unsatisfiable 0.56s 0.75s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV250-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n009.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 03:07:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.56/0.58 start to proof:theBenchmark
% 0.56/0.75 %-------------------------------------------
% 0.56/0.75 % File :CSE---1.6
% 0.56/0.75 % Problem :theBenchmark
% 0.56/0.75 % Transform :cnf
% 0.56/0.75 % Format :tptp:raw
% 0.56/0.75 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.75
% 0.56/0.75 % Result :Theorem 0.120000s
% 0.56/0.75 % Output :CNFRefutation 0.120000s
% 0.56/0.75 %-------------------------------------------
% 0.56/0.75 %------------------------------------------------------------------------------
% 0.56/0.75 % File : SWV250-2 : TPTP v8.1.2. Released v3.2.0.
% 0.56/0.75 % Domain : Software Verification (Security)
% 0.56/0.75 % Problem : Cryptographic protocol problem for messages
% 0.56/0.75 % Version : [Pau06] axioms : Reduced > Especial.
% 0.56/0.75 % English :
% 0.56/0.75
% 0.56/0.75 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.56/0.75 % Source : [Pau06]
% 0.56/0.75 % Names :
% 0.56/0.75
% 0.56/0.75 % Status : Unsatisfiable
% 0.56/0.75 % 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, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.09 v4.0.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0
% 0.56/0.75 % Syntax : Number of clauses : 7 ( 4 unt; 1 nHn; 3 RR)
% 0.56/0.75 % Number of literals : 11 ( 2 equ; 4 neg)
% 0.56/0.75 % Maximal clause size : 3 ( 1 avg)
% 0.56/0.75 % Maximal term depth : 5 ( 2 avg)
% 0.56/0.75 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.56/0.75 % Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% 0.56/0.75 % Number of variables : 16 ( 2 sgn)
% 0.56/0.75 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.56/0.75
% 0.56/0.75 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.56/0.75 % of which only a small selection are required for the refutation.
% 0.56/0.75 % The mission is to find those few axioms, after which a refutation
% 0.56/0.75 % can be quite easily found. This version has only the necessary
% 0.56/0.75 % axioms.
% 0.56/0.75 %------------------------------------------------------------------------------
% 0.56/0.75 cnf(cls_conjecture_2,negated_conjecture,
% 0.56/0.75 c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg) ).
% 0.56/0.75
% 0.56/0.75 cnf(cls_conjecture_3,negated_conjecture,
% 0.56/0.75 ~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) ).
% 0.56/0.75
% 0.56/0.75 cnf(cls_Message_Oanalz__analz__Un_0,axiom,
% 0.56/0.75 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)) ).
% 0.56/0.75
% 0.56/0.75 cnf(cls_Message_Oanalz__synth__Un_0,axiom,
% 0.56/0.75 c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg) ).
% 0.56/0.75
% 0.56/0.75 cnf(cls_Set_OUn__iff_0,axiom,
% 0.56/0.75 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
% 0.56/0.75 | c_in(V_c,V_B,T_a)
% 0.56/0.75 | c_in(V_c,V_A,T_a) ) ).
% 0.56/0.75
% 0.56/0.75 cnf(cls_Set_OUn__iff_1,axiom,
% 0.56/0.75 ( ~ c_in(V_c,V_A,T_a)
% 0.56/0.75 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ).
% 0.56/0.75
% 0.56/0.75 cnf(cls_Set_OUn__iff_2,axiom,
% 0.56/0.75 ( ~ c_in(V_c,V_B,T_a)
% 0.56/0.75 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ).
% 0.56/0.75
% 0.56/0.75 %------------------------------------------------------------------------------
% 0.56/0.75 %-------------------------------------------
% 0.56/0.75 % Proof found
% 0.56/0.75 % SZS status Theorem for theBenchmark
% 0.56/0.75 % SZS output start Proof
% 0.56/0.75 %ClaNum:18(EqnAxiom:11)
% 0.56/0.75 %VarNum:36(SingletonVarNum:16)
% 0.56/0.75 %MaxLitNum:3
% 0.56/0.75 %MaxfuncDepth:4
% 0.56/0.75 %SharedTerms:13
% 0.56/0.75 %goalClause: 13 15
% 0.56/0.75 %singleGoalClaCount:2
% 0.56/0.75 [15]~P1(a5,f3(f4(f1(a6)),f1(f3(a6,a7,a2)),a2),a2)
% 0.56/0.75 [13]P1(a5,f1(f3(f4(f1(a6)),a7,a2)),a2)
% 0.56/0.75 [12]E(f1(f3(f1(x121),x122,a2)),f1(f3(x121,x122,a2)))
% 0.56/0.75 [14]E(f3(f1(f3(x141,x142,a2)),f4(x141),a2),f1(f3(f4(x141),x142,a2)))
% 0.56/0.75 [16]~P1(x161,x163,x164)+P1(x161,f3(x162,x163,x164),x164)
% 0.56/0.75 [17]~P1(x171,x172,x174)+P1(x171,f3(x172,x173,x174),x174)
% 0.56/0.75 [18]P1(x181,x182,x183)+P1(x181,x184,x183)+~P1(x181,f3(x184,x182,x183),x183)
% 0.56/0.75 %EqnAxiom
% 0.56/0.75 [1]E(x11,x11)
% 0.56/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.75 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.56/0.75 [5]~E(x51,x52)+E(f3(x51,x53,x54),f3(x52,x53,x54))
% 0.56/0.75 [6]~E(x61,x62)+E(f3(x63,x61,x64),f3(x63,x62,x64))
% 0.56/0.75 [7]~E(x71,x72)+E(f3(x73,x74,x71),f3(x73,x74,x72))
% 0.56/0.75 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 0.56/0.75 [9]P1(x92,x93,x94)+~E(x91,x92)+~P1(x91,x93,x94)
% 0.56/0.75 [10]P1(x103,x102,x104)+~E(x101,x102)+~P1(x103,x101,x104)
% 0.56/0.75 [11]P1(x113,x114,x112)+~E(x111,x112)+~P1(x113,x114,x111)
% 0.56/0.75
% 0.56/0.75 %-------------------------------------------
% 0.56/0.76 cnf(20,plain,
% 0.56/0.76 (~P1(a5,f4(f1(a6)),a2)),
% 0.56/0.76 inference(scs_inference,[],[15,12,2,17])).
% 0.56/0.76 cnf(22,plain,
% 0.56/0.76 (~P1(a5,f1(f3(a6,a7,a2)),a2)),
% 0.56/0.76 inference(scs_inference,[],[15,12,2,17,16])).
% 0.56/0.76 cnf(25,plain,
% 0.56/0.76 (~E(f1(f3(f4(f1(a6)),a7,a2)),f4(f1(a6)))),
% 0.56/0.76 inference(scs_inference,[],[13,15,12,2,17,16,11,10])).
% 0.56/0.76 cnf(33,plain,
% 0.56/0.76 (~P1(a5,f1(f3(f1(a6),a7,a2)),a2)),
% 0.56/0.76 inference(scs_inference,[],[12,25,22,18,2,10])).
% 0.56/0.76 cnf(41,plain,
% 0.56/0.76 (E(f1(f3(f4(x411),x412,a2)),f3(f1(f3(x411,x412,a2)),f4(x411),a2))),
% 0.56/0.76 inference(scs_inference,[],[14,2])).
% 0.56/0.76 cnf(89,plain,
% 0.56/0.76 (P1(a5,f3(f1(f3(f1(a6),a7,a2)),f4(f1(a6)),a2),a2)),
% 0.56/0.76 inference(scs_inference,[],[41,13,10])).
% 0.56/0.76 cnf(96,plain,
% 0.56/0.76 ($false),
% 0.56/0.76 inference(scs_inference,[],[33,89,20,18]),
% 0.56/0.76 ['proof']).
% 0.56/0.76 % SZS output end Proof
% 0.56/0.76 % Total time :0.120000s
%------------------------------------------------------------------------------