TSTP Solution File: SWV305-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV305-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 21:32:51 EDT 2023
% Result : Unsatisfiable 1.70s 1.78s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV305-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 08:54:48 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 1.70/1.77 %-------------------------------------------
% 1.70/1.77 % File :CSE---1.6
% 1.70/1.77 % Problem :theBenchmark
% 1.70/1.77 % Transform :cnf
% 1.70/1.77 % Format :tptp:raw
% 1.70/1.77 % Command :java -jar mcs_scs.jar %d %s
% 1.70/1.77
% 1.70/1.77 % Result :Theorem 1.140000s
% 1.70/1.77 % Output :CNFRefutation 1.140000s
% 1.70/1.77 %-------------------------------------------
% 1.70/1.77 %------------------------------------------------------------------------------
% 1.70/1.77 % File : SWV305-2 : TPTP v8.1.2. Released v3.2.0.
% 1.70/1.77 % Domain : Software Verification (Security)
% 1.70/1.77 % Problem : Cryptographic protocol problem for Otway Rees
% 1.70/1.77 % Version : [Pau06] axioms : Reduced > Especial.
% 1.70/1.77 % English :
% 1.70/1.77
% 1.70/1.77 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 1.70/1.77 % Source : [Pau06]
% 1.70/1.77 % Names :
% 1.70/1.77
% 1.70/1.77 % Status : Unsatisfiable
% 1.70/1.77 % Rating : 0.14 v8.1.0, 0.00 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.21 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v3.2.0
% 1.70/1.77 % Syntax : Number of clauses : 11 ( 5 unt; 2 nHn; 11 RR)
% 1.70/1.77 % Number of literals : 21 ( 0 equ; 10 neg)
% 1.70/1.77 % Maximal clause size : 3 ( 1 avg)
% 1.70/1.77 % Maximal term depth : 6 ( 2 avg)
% 1.70/1.77 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 1.70/1.77 % Number of functors : 25 ( 25 usr; 13 con; 0-3 aty)
% 1.70/1.77 % Number of variables : 14 ( 0 sgn)
% 1.70/1.77 % SPC : CNF_UNS_RFO_NEQ_NHN
% 1.70/1.77
% 1.70/1.77 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 1.70/1.77 % of which only a small selection are required for the refutation.
% 1.70/1.77 % The mission is to find those few axioms, after which a refutation
% 1.70/1.77 % can be quite easily found. This version has only the necessary
% 1.70/1.77 % axioms.
% 1.70/1.77 %------------------------------------------------------------------------------
% 1.70/1.77 cnf(cls_conjecture_0,negated_conjecture,
% 1.70/1.77 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 1.70/1.77
% 1.70/1.77 cnf(cls_conjecture_1,negated_conjecture,
% 1.70/1.77 c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 1.70/1.77
% 1.70/1.77 cnf(cls_conjecture_2,negated_conjecture,
% 1.70/1.77 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ).
% 1.70/1.77
% 1.70/1.77 cnf(cls_conjecture_3,negated_conjecture,
% 1.70/1.77 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ).
% 1.70/1.77
% 1.70/1.77 cnf(cls_conjecture_4,negated_conjecture,
% 1.70/1.77 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ).
% 1.70/1.77
% 1.70/1.77 cnf(cls_conjecture_5,negated_conjecture,
% 1.70/1.77 ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
% 1.70/1.77 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ) ).
% 1.70/1.77
% 1.70/1.77 cnf(cls_Message_OCrypt__synth_0,axiom,
% 1.70/1.77 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 1.70/1.78 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 1.70/1.78 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ).
% 1.70/1.78
% 1.70/1.78 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
% 1.70/1.78 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
% 1.70/1.78 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 1.70/1.78 | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ).
% 1.70/1.78
% 1.70/1.78 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
% 1.70/1.78 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 1.70/1.78 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 1.70/1.78
% 1.70/1.78 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
% 1.70/1.78 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 1.70/1.78 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 1.70/1.78 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 1.70/1.78
% 1.70/1.78 cnf(cls_Set_OUnE_0,axiom,
% 1.70/1.78 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
% 1.70/1.78 | c_in(V_c,V_B,T_a)
% 1.70/1.78 | c_in(V_c,V_A,T_a) ) ).
% 1.70/1.78
% 1.70/1.78 %------------------------------------------------------------------------------
% 1.70/1.78 %-------------------------------------------
% 1.70/1.78 % Proof found
% 1.70/1.78 % SZS status Theorem for theBenchmark
% 1.70/1.78 % SZS output start Proof
% 1.70/1.78 %ClaNum:11(EqnAxiom:0)
% 1.70/1.78 %VarNum:35(SingletonVarNum:14)
% 1.70/1.78 %MaxLitNum:3
% 1.70/1.78 %MaxfuncDepth:5
% 1.70/1.78 %SharedTerms:38
% 1.70/1.78 %goalClause: 1 2 3 4 5 11
% 1.70/1.78 %singleGoalClaCount:5
% 1.70/1.78 [5]~P1(a21,a5,a20)
% 1.70/1.78 [1]P1(a1,a2,f17(a13))
% 1.70/1.78 [2]P1(a18,f7(f6(f4(a3,a1))),a19)
% 1.70/1.78 [3]P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f12(f15(a18,f4(a3,a1),a19)),a19)
% 1.70/1.78 [4]P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f12(f15(a18,f4(a3,a1),a19)),a19)
% 1.70/1.78 [11]~P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f12(f4(a3,a1)),a19)+~P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f12(f4(a3,a1)),a19)
% 1.70/1.78 [6]~P1(x61,f6(x62),a19)+P1(x61,f12(x62),a19)
% 1.70/1.78 [8]P1(x81,a5,a20)+~P1(x82,a2,f17(a13))+~P1(f11(f14(x81)),f12(f4(a3,x82)),a19)
% 1.70/1.78 [7]P1(f11(x71),x72,a19)+P1(f10(x71,x73),x72,a19)+~P1(f10(x71,x73),f7(x72),a19)
% 1.70/1.78 [10]~P1(x103,f7(f6(x102)),a19)+~P1(x101,f12(f15(x103,x102,a19)),a19)+P1(x101,f16(f7(f6(x102)),f12(x102),a19),a19)
% 1.70/1.78 [9]P1(x91,x92,x93)+P1(x91,x94,x93)+~P1(x91,f16(x94,x92,x93),x93)
% 1.70/1.78 %EqnAxiom
% 1.70/1.78
% 1.70/1.78 %-------------------------------------------
% 1.70/1.78 cnf(12,plain,
% 1.70/1.78 (~P1(f11(f14(a21)),f12(f4(a3,a1)),a19)),
% 1.70/1.78 inference(scs_inference,[],[1,5,8])).
% 1.70/1.78 cnf(14,plain,
% 1.70/1.78 (P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f16(f7(f6(f4(a3,a1))),f12(f4(a3,a1)),a19),a19)),
% 1.70/1.78 inference(scs_inference,[],[1,5,2,3,8,9,10])).
% 1.70/1.78 cnf(16,plain,
% 1.70/1.78 (~P1(f11(f14(a21)),f6(f4(a3,a1)),a19)),
% 1.70/1.78 inference(scs_inference,[],[1,5,2,3,8,9,10,6])).
% 1.70/1.78 cnf(18,plain,
% 1.70/1.78 (~P1(f11(f14(a21)),f16(f6(f4(a3,a1)),f6(f4(a3,a1)),a19),a19)),
% 1.70/1.78 inference(scs_inference,[],[16,9])).
% 1.70/1.78 cnf(20,plain,
% 1.70/1.78 (P1(f10(f14(a21),x201),f6(f4(a3,a1)),a19)+~P1(f10(f14(a21),x201),f7(f6(f4(a3,a1))),a19)),
% 1.70/1.78 inference(scs_inference,[],[16,9,7])).
% 1.70/1.78 cnf(22,plain,
% 1.70/1.78 (P1(f10(f14(a21),x221),f12(f4(a3,a1)),a19)+~P1(f10(f14(a21),x221),f7(f6(f4(a3,a1))),a19)),
% 1.70/1.78 inference(scs_inference,[],[16,9,7,6])).
% 1.70/1.78 cnf(24,plain,
% 1.70/1.78 (P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f12(f4(a3,a1)),a19)+P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f7(f6(f4(a3,a1))),a19)),
% 1.70/1.78 inference(scs_inference,[],[14,9])).
% 1.70/1.78 cnf(30,plain,
% 1.70/1.78 (P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f12(f4(a3,a1)),a19)+P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f6(f4(a3,a1)),a19)),
% 1.70/1.78 inference(scs_inference,[],[20,24])).
% 1.70/1.78 cnf(34,plain,
% 1.70/1.78 (P1(f10(f14(a21),x341),f12(f4(a3,a1)),a19)+~P1(f10(f14(a21),x341),f7(f12(f4(a3,a1))),a19)),
% 1.70/1.78 inference(scs_inference,[],[12,18,9,7])).
% 1.70/1.78 cnf(41,plain,
% 1.70/1.78 (P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f6(f4(a3,a1)),a19)+~P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f12(f4(a3,a1)),a19)),
% 1.70/1.78 inference(scs_inference,[],[30,11])).
% 1.70/1.78 cnf(44,plain,
% 1.70/1.78 (P1(f10(f14(a21),f9(a22,f9(f8(a21),f8(a23)))),f12(f4(a3,a1)),a19)+~P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f12(f4(a3,a1)),a19)),
% 1.70/1.78 inference(scs_inference,[],[41,6])).
% 1.70/1.78 cnf(47,plain,
% 1.70/1.78 (~P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f12(f4(a3,a1)),a19)),
% 1.70/1.78 inference(scs_inference,[],[44,11])).
% 1.70/1.78 cnf(50,plain,
% 1.70/1.78 (~P1(f10(f14(a21),f9(a25,f9(a22,f9(f8(a24),f8(a21))))),f7(f6(f4(a3,a1))),a19)),
% 1.70/1.78 inference(scs_inference,[],[47,34,22])).
% 1.70/1.78 cnf(228,plain,
% 1.70/1.78 ($false),
% 1.70/1.78 inference(scs_inference,[],[47,50,2,4,9,10]),
% 1.70/1.78 ['proof']).
% 1.70/1.78 % SZS output end Proof
% 1.70/1.78 % Total time :1.140000s
%------------------------------------------------------------------------------