TSTP Solution File: SWV326-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV326-2 : 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 : n021.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 21:33:00 EDT 2023
% Result : Unsatisfiable 1.10s 1.34s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV326-2 : 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 04:59:59 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 1.10/1.34 %-------------------------------------------
% 1.10/1.34 % File :CSE---1.6
% 1.10/1.34 % Problem :theBenchmark
% 1.10/1.34 % Transform :cnf
% 1.10/1.34 % Format :tptp:raw
% 1.10/1.34 % Command :java -jar mcs_scs.jar %d %s
% 1.10/1.34
% 1.10/1.34 % Result :Theorem 0.690000s
% 1.10/1.34 % Output :CNFRefutation 0.690000s
% 1.10/1.34 %-------------------------------------------
% 1.10/1.34 %------------------------------------------------------------------------------
% 1.10/1.34 % File : SWV326-2 : TPTP v8.1.2. Released v3.2.0.
% 1.10/1.34 % Domain : Software Verification (Security)
% 1.10/1.34 % Problem : Cryptographic protocol problem for Otway Rees
% 1.10/1.34 % Version : [Pau06] axioms : Reduced > Especial.
% 1.10/1.34 % English :
% 1.10/1.34
% 1.10/1.34 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 1.10/1.34 % Source : [Pau06]
% 1.10/1.34 % Names :
% 1.10/1.34
% 1.10/1.34 % Status : Unsatisfiable
% 1.10/1.34 % 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, 0.05 v5.4.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.00 v4.0.0, 0.09 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0
% 1.10/1.34 % Syntax : Number of clauses : 8 ( 3 unt; 1 nHn; 8 RR)
% 1.10/1.34 % Number of literals : 13 ( 4 equ; 5 neg)
% 1.10/1.34 % Maximal clause size : 2 ( 1 avg)
% 1.10/1.34 % Maximal term depth : 5 ( 2 avg)
% 1.10/1.34 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 1.10/1.34 % Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% 1.10/1.34 % Number of variables : 8 ( 2 sgn)
% 1.10/1.34 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.10/1.34
% 1.10/1.34 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 1.10/1.34 % of which only a small selection are required for the refutation.
% 1.10/1.34 % The mission is to find those few axioms, after which a refutation
% 1.10/1.34 % can be quite easily found. This version has only the necessary
% 1.10/1.34 % axioms.
% 1.10/1.34 %------------------------------------------------------------------------------
% 1.10/1.34 cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
% 1.10/1.34 ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 1.10/1.34 | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 1.10/1.34
% 1.10/1.34 cnf(cls_Message_OMPair__parts_1,axiom,
% 1.10/1.34 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
% 1.10/1.34 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 1.10/1.34
% 1.10/1.34 cnf(cls_Message_Oparts_OBody__dest_0,axiom,
% 1.10/1.34 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
% 1.10/1.34 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 1.10/1.34
% 1.10/1.34 cnf(cls_conjecture_2,negated_conjecture,
% 1.10/1.34 ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) ).
% 1.10/1.34
% 1.10/1.34 cnf(cls_conjecture_21,negated_conjecture,
% 1.10/1.34 ( 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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
% 1.10/1.34 | v_C = v_Ba ) ).
% 1.10/1.34
% 1.10/1.34 cnf(cls_conjecture_3,negated_conjecture,
% 1.10/1.34 v_A = v_Aa ).
% 1.10/1.34
% 1.10/1.34 cnf(cls_conjecture_32,negated_conjecture,
% 1.10/1.34 ( v_Ba != v_C
% 1.10/1.34 | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ) ).
% 1.10/1.34
% 1.10/1.34 cnf(cls_conjecture_5,negated_conjecture,
% 1.10/1.34 v_NA = c_Message_Omsg_ONonce(v_NAa) ).
% 1.10/1.34
% 1.10/1.34 %------------------------------------------------------------------------------
% 1.10/1.34 %-------------------------------------------
% 1.10/1.34 % Proof found
% 1.10/1.34 % SZS status Theorem for theBenchmark
% 1.10/1.34 % SZS output start Proof
% 1.10/1.34 %ClaNum:25(EqnAxiom:17)
% 1.10/1.34 %VarNum:14(SingletonVarNum:8)
% 1.10/1.34 %MaxLitNum:2
% 1.10/1.34 %MaxfuncDepth:4
% 1.10/1.34 %SharedTerms:33
% 1.10/1.34 %goalClause: 18 19 20 24 25
% 1.10/1.34 %singleGoalClaCount:3
% 1.10/1.34 [18]E(a1,a2)
% 1.10/1.34 [19]E(f3(a13),a14)
% 1.10/1.34 [20]~P1(f3(a13),f4(a18),a10)
% 1.10/1.34 [24]E(a15,a16)+P1(f6(f12(a2),f9(a14,f9(f8(a2),f8(a15)))),f11(f5(a7,a18)),a10)
% 1.10/1.34 [25]~E(a15,a16)+P1(f6(f12(a1),f9(f3(a13),f9(f8(a1),f8(a17)))),f11(f5(a7,a18)),a10)
% 1.10/1.34 [23]P1(x231,f4(x232),a10)+~P1(x231,f11(f5(a7,x232)),a10)
% 1.10/1.34 [21]P1(x211,f11(x212),a10)+~P1(f6(x213,x211),f11(x212),a10)
% 1.10/1.34 [22]P1(x221,f11(x222),a10)+~P1(f9(x221,x223),f11(x222),a10)
% 1.10/1.34 %EqnAxiom
% 1.10/1.34 [1]E(x11,x11)
% 1.10/1.34 [2]E(x22,x21)+~E(x21,x22)
% 1.10/1.34 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.10/1.34 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 1.10/1.34 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 1.10/1.34 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 1.10/1.34 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 1.10/1.34 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 1.10/1.34 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 1.10/1.34 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 1.10/1.34 [11]~E(x111,x112)+E(f9(x111,x113),f9(x112,x113))
% 1.10/1.34 [12]~E(x121,x122)+E(f9(x123,x121),f9(x123,x122))
% 1.10/1.34 [13]~E(x131,x132)+E(f8(x131),f8(x132))
% 1.10/1.34 [14]~E(x141,x142)+E(f12(x141),f12(x142))
% 1.10/1.34 [15]P1(x152,x153,x154)+~E(x151,x152)+~P1(x151,x153,x154)
% 1.10/1.34 [16]P1(x163,x162,x164)+~E(x161,x162)+~P1(x163,x161,x164)
% 1.10/1.34 [17]P1(x173,x174,x172)+~E(x171,x172)+~P1(x173,x174,x171)
% 1.10/1.35
% 1.10/1.35 %-------------------------------------------
% 1.10/1.35 cnf(27,plain,
% 1.10/1.35 (E(f12(a1),f12(a2))),
% 1.10/1.35 inference(scs_inference,[],[18,2,14])).
% 1.10/1.35 cnf(28,plain,
% 1.10/1.35 (E(f8(a1),f8(a2))),
% 1.10/1.35 inference(scs_inference,[],[18,2,14,13])).
% 1.10/1.35 cnf(29,plain,
% 1.10/1.35 (E(f9(x291,a1),f9(x291,a2))),
% 1.10/1.35 inference(scs_inference,[],[18,2,14,13,12])).
% 1.10/1.35 cnf(30,plain,
% 1.10/1.35 (E(f9(a1,x301),f9(a2,x301))),
% 1.10/1.35 inference(scs_inference,[],[18,2,14,13,12,11])).
% 1.10/1.35 cnf(31,plain,
% 1.10/1.35 (E(f5(x311,a1),f5(x311,a2))),
% 1.10/1.35 inference(scs_inference,[],[18,2,14,13,12,11,10])).
% 1.10/1.35 cnf(32,plain,
% 1.10/1.35 (E(f5(a1,x321),f5(a2,x321))),
% 1.10/1.35 inference(scs_inference,[],[18,2,14,13,12,11,10,9])).
% 1.10/1.35 cnf(33,plain,
% 1.10/1.35 (E(f6(x331,a1),f6(x331,a2))),
% 1.10/1.35 inference(scs_inference,[],[18,2,14,13,12,11,10,9,8])).
% 1.10/1.35 cnf(34,plain,
% 1.10/1.35 (E(f6(a1,x341),f6(a2,x341))),
% 1.10/1.35 inference(scs_inference,[],[18,2,14,13,12,11,10,9,8,7])).
% 1.10/1.35 cnf(36,plain,
% 1.10/1.35 (E(f11(a1),f11(a2))),
% 1.10/1.35 inference(scs_inference,[],[18,2,14,13,12,11,10,9,8,7,6,5])).
% 1.10/1.35 cnf(38,plain,
% 1.10/1.35 (~P1(f3(a13),f11(f5(a7,a18)),a10)),
% 1.10/1.35 inference(scs_inference,[],[18,20,2,14,13,12,11,10,9,8,7,6,5,4,23])).
% 1.10/1.35 cnf(46,plain,
% 1.10/1.35 (~P1(f9(f3(a13),x461),f11(f5(a7,a18)),a10)),
% 1.10/1.35 inference(scs_inference,[],[38,22])).
% 1.10/1.35 cnf(48,plain,
% 1.10/1.35 (~P1(f6(x481,f3(a13)),f11(f5(a7,a18)),a10)),
% 1.10/1.35 inference(scs_inference,[],[38,22,21])).
% 1.10/1.35 cnf(53,plain,
% 1.10/1.35 (~P1(x531,f4(a18),a10)+~E(x531,f3(a13))),
% 1.10/1.35 inference(scs_inference,[],[20,29,30,38,22,21,3,15])).
% 1.10/1.35 cnf(62,plain,
% 1.10/1.35 (E(f6(x621,f12(a1)),f6(x621,f12(a2)))),
% 1.10/1.35 inference(scs_inference,[],[27,2,13,12,10,8])).
% 1.10/1.35 cnf(67,plain,
% 1.10/1.35 (E(f9(f12(a1),x671),f9(f12(a2),x671))),
% 1.10/1.35 inference(scs_inference,[],[27,2,13,12,10,8,7,5,4,14,11])).
% 1.10/1.35 cnf(71,plain,
% 1.10/1.35 (~P1(f9(f9(f3(a13),x711),x712),f11(f5(a7,a18)),a10)),
% 1.10/1.35 inference(scs_inference,[],[46,22])).
% 1.10/1.35 cnf(73,plain,
% 1.10/1.35 (~P1(f6(x731,f9(f3(a13),x732)),f11(f5(a7,a18)),a10)),
% 1.10/1.35 inference(scs_inference,[],[46,22,21])).
% 1.10/1.35 cnf(86,plain,
% 1.10/1.35 (~E(a15,a16)),
% 1.10/1.35 inference(scs_inference,[],[73,25])).
% 1.10/1.35 cnf(88,plain,
% 1.10/1.35 (P1(f6(f12(a2),f9(a14,f9(f8(a2),f8(a15)))),f11(f5(a7,a18)),a10)),
% 1.10/1.35 inference(scs_inference,[],[86,24])).
% 1.10/1.35 cnf(96,plain,
% 1.10/1.35 (P1(f9(a14,f9(f8(a2),f8(a15))),f11(f5(a7,a18)),a10)),
% 1.10/1.35 inference(scs_inference,[],[88,21])).
% 1.10/1.35 cnf(99,plain,
% 1.10/1.35 (~E(f9(a14,f9(f8(a2),f8(a15))),f9(f9(f3(a13),x991),x992))),
% 1.10/1.35 inference(scs_inference,[],[28,71,88,21,2,15])).
% 1.10/1.35 cnf(100,plain,
% 1.10/1.35 (P1(a14,f11(f5(a7,a18)),a10)),
% 1.10/1.35 inference(scs_inference,[],[28,71,88,21,2,15,22])).
% 1.10/1.35 cnf(102,plain,
% 1.10/1.35 (P1(f6(f12(a2),f9(a14,f9(f8(a2),f8(a15)))),f4(a18),a10)),
% 1.10/1.35 inference(scs_inference,[],[28,71,88,21,2,15,22,23])).
% 1.10/1.35 cnf(111,plain,
% 1.10/1.35 (~E(f6(f12(a2),f9(a14,f9(f8(a2),f8(a15)))),f3(a13))),
% 1.10/1.35 inference(scs_inference,[],[102,53])).
% 1.10/1.35 cnf(118,plain,
% 1.10/1.35 (~E(f9(a14,f9(f8(a2),f8(a15))),f3(a13))),
% 1.10/1.35 inference(scs_inference,[],[29,99,73,96,102,38,53,22,21,11,2,15])).
% 1.10/1.35 cnf(120,plain,
% 1.10/1.35 (E(f9(x1201,a1),f9(x1201,a2))),
% 1.10/1.35 inference(rename_variables,[],[29])).
% 1.10/1.35 cnf(124,plain,
% 1.10/1.35 (E(f6(f9(x1241,a1),x1242),f6(f9(x1241,a2),x1242))),
% 1.10/1.35 inference(scs_inference,[],[29,120,99,73,96,102,67,38,53,22,21,11,2,15,3,12,10,7])).
% 1.10/1.35 cnf(130,plain,
% 1.10/1.35 (E(f4(f9(x1301,a1)),f4(f9(x1301,a2)))),
% 1.10/1.35 inference(scs_inference,[],[29,120,99,73,96,102,67,38,53,22,21,11,2,15,3,12,10,7,4,14,13,9,8,6])).
% 1.10/1.35 cnf(148,plain,
% 1.10/1.35 (~E(a14,f6(f12(a2),f9(a14,f9(f8(a2),f8(a15)))))),
% 1.10/1.35 inference(scs_inference,[],[28,111,19,11,2,3])).
% 1.10/1.35 cnf(155,plain,
% 1.10/1.35 (~P1(f9(f6(x1551,f3(a13)),x1552),f11(f5(a7,a18)),a10)),
% 1.10/1.35 inference(scs_inference,[],[48,22])).
% 1.10/1.35 cnf(164,plain,
% 1.10/1.35 (~P1(f6(x1641,f6(x1642,f3(a13))),f11(f5(a7,a18)),a10)),
% 1.10/1.35 inference(scs_inference,[],[30,62,124,48,96,22,2,15,3,23,21])).
% 1.10/1.35 cnf(171,plain,
% 1.10/1.35 (E(f9(f5(x1711,a1),x1712),f9(f5(x1711,a2),x1712))),
% 1.10/1.35 inference(scs_inference,[],[31,11])).
% 1.10/1.35 cnf(175,plain,
% 1.10/1.35 (E(f5(x1751,a1),f5(x1751,a2))),
% 1.10/1.35 inference(rename_variables,[],[31])).
% 1.10/1.35 cnf(177,plain,
% 1.10/1.35 (E(f9(x1771,f5(x1772,a1)),f9(x1771,f5(x1772,a2)))),
% 1.10/1.35 inference(scs_inference,[],[31,175,148,32,155,100,11,15,2,3,12])).
% 1.10/1.35 cnf(178,plain,
% 1.10/1.35 (E(f5(x1781,f5(x1782,a1)),f5(x1781,f5(x1782,a2)))),
% 1.10/1.35 inference(scs_inference,[],[31,175,148,32,155,100,11,15,2,3,12,10])).
% 1.10/1.35 cnf(200,plain,
% 1.10/1.35 (~E(f3(a13),f9(a14,f9(f8(a2),f8(a15))))),
% 1.10/1.35 inference(scs_inference,[],[118,2])).
% 1.10/1.35 cnf(204,plain,
% 1.10/1.35 (~E(f9(a14,f9(f8(a2),f8(a15))),f9(f6(x2041,f3(a13)),x2042))),
% 1.10/1.35 inference(scs_inference,[],[118,171,177,155,96,2,3,15])).
% 1.10/1.35 cnf(220,plain,
% 1.10/1.35 (P1(a14,f4(a18),a10)),
% 1.10/1.35 inference(scs_inference,[],[30,32,178,71,100,11,2,3,22,23])).
% 1.10/1.35 cnf(239,plain,
% 1.10/1.35 (E(f6(x2391,f6(x2392,a1)),f6(x2391,f6(x2392,a2)))),
% 1.10/1.35 inference(scs_inference,[],[33,204,200,220,19,2,3,53,10,14,12,9,6,5,4,8])).
% 1.10/1.35 cnf(319,plain,
% 1.10/1.35 (E(f6(a1,x3191),f6(a2,x3191))),
% 1.10/1.35 inference(rename_variables,[],[34])).
% 1.10/1.35 cnf(325,plain,
% 1.10/1.35 (E(f9(f6(a1,x3251),x3252),f9(f6(a2,x3251),x3252))),
% 1.10/1.35 inference(scs_inference,[],[34,319,36,239,164,48,88,15,2,3,22,21,11])).
% 1.10/1.35 cnf(367,plain,
% 1.10/1.35 (E(f9(f6(a2,x3671),x3672),f9(f6(a1,x3671),x3672))),
% 1.10/1.35 inference(scs_inference,[],[325,2])).
% 1.10/1.35 cnf(379,plain,
% 1.10/1.35 (E(f4(f9(f6(a2,x3791),x3792)),f4(f9(f6(a1,x3791),x3792)))),
% 1.10/1.35 inference(scs_inference,[],[367,6])).
% 1.10/1.35 cnf(448,plain,
% 1.10/1.35 (~E(f9(a14,f9(f8(a2),f8(a15))),f9(f3(a13),x4481))),
% 1.10/1.35 inference(scs_inference,[],[46,96,15])).
% 1.10/1.35 cnf(459,plain,
% 1.10/1.35 ($false),
% 1.10/1.35 inference(scs_inference,[],[379,448,130,19,2,3,11]),
% 1.10/1.35 ['proof']).
% 1.10/1.35 % SZS output end Proof
% 1.10/1.35 % Total time :0.690000s
%------------------------------------------------------------------------------