0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s 0.12/0.33 % Computer : n020.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Thu Jul 2 06:34:47 EDT 2020 0.12/0.33 % CPUTime : 0.19/0.43 openjdk version "1.8.0_171" 0.19/0.43 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.19/0.43 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.19/0.44 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.62/0.66 start to proof:theBenchmark 115.20/115.22 %------------------------------------------- 115.20/115.22 % File :CSE---1.3 115.20/115.22 % Problem :theBenchmark 115.20/115.22 % Transform :cnf 115.20/115.22 % Format :tptp:raw 115.20/115.22 % Command :java -jar mcs_scs.jar %d %s 115.20/115.22 115.20/115.22 % Result :Theorem 114.510000s 115.20/115.22 % Output :CNFRefutation 114.510000s 115.20/115.22 %------------------------------------------- 115.24/115.23 fof(intruder_holds_key,axiom,( 115.24/115.23 ! [V,W] : 115.24/115.23 ( intruder_holds(key(V,W)) 115.24/115.23 <= ( party_of_protocol(W) 115.24/115.23 & intruder_message(V) ) ) )). 115.24/115.23 115.24/115.23 fof(t_holds_key_bt_for_b,axiom,( 115.24/115.23 t_holds(key(bt,b)) )). 115.24/115.23 115.24/115.23 fof(co1,conjecture,( 115.24/115.23 ? [U] : 115.24/115.23 ( intruder_holds(key(U,b)) 115.24/115.23 & b_holds(key(U,a)) ) )). 115.24/115.23 115.24/115.23 fof(a_is_party_of_protocol,axiom,( 115.24/115.23 party_of_protocol(a) )). 115.24/115.23 115.24/115.23 fof(intruder_key_encrypts,axiom,( 115.24/115.23 ! [U,V,W] : 115.24/115.23 ( ( intruder_message(U) 115.24/115.23 & intruder_holds(key(V,W)) 115.24/115.23 & party_of_protocol(W) ) 115.24/115.23 => intruder_message(encrypt(U,V)) ) )). 115.24/115.23 115.24/115.23 fof(intruder_composes_quadruples,axiom,( 115.24/115.23 ! [U,V,W,X] : 115.24/115.23 ( ( intruder_message(X) 115.24/115.23 & intruder_message(W) 115.24/115.23 & intruder_message(V) 115.24/115.24 & intruder_message(U) ) 115.24/115.24 => intruder_message(quadruple(U,V,W,X)) ) )). 115.24/115.24 115.24/115.24 fof(b_hold_key_bt_for_t,axiom,( 115.24/115.24 b_holds(key(bt,t)) )). 115.24/115.24 115.24/115.24 fof(server_t_generates_key,axiom,( 115.24/115.24 ! [U,V,W,X,Y,Z,X1] : 115.24/115.24 ( ( message(sent(U,t,triple(U,V,encrypt(triple(W,X,Y),Z)))) 115.24/115.24 & t_holds(key(Z,U)) 115.24/115.24 & t_holds(key(X1,W)) 115.24/115.24 & a_nonce(X) ) 115.24/115.24 => message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V))) ) )). 115.24/115.24 115.24/115.24 fof(intruder_decomposes_triples,axiom,( 115.24/115.24 ! [U,V,W] : 115.24/115.24 ( ( intruder_message(U) 115.24/115.24 & intruder_message(V) 115.24/115.24 & intruder_message(W) ) 115.24/115.24 <= intruder_message(triple(U,V,W)) ) )). 115.24/115.24 115.24/115.24 fof(b_creates_freash_nonces_in_time,axiom,( 115.24/115.24 ! [U,V] : 115.24/115.24 ( ( fresh_to_b(V) 115.24/115.24 & message(sent(U,b,pair(U,V))) ) 115.24/115.24 => ( b_stored(pair(U,V)) 115.24/115.24 & message(sent(b,t,triple(b,generate_b_nonce(V),encrypt(triple(U,V,generate_expiration_time(V)),bt)))) ) ) )). 115.24/115.24 115.24/115.24 fof(b_is_party_of_protocol,axiom,( 115.24/115.24 party_of_protocol(b) )). 115.24/115.24 115.24/115.24 fof(t_holds_key_at_for_a,axiom,( 115.24/115.24 t_holds(key(at,a)) )). 115.24/115.24 115.24/115.24 fof(intruder_interception,axiom,( 115.24/115.24 ! [U,V,W] : 115.24/115.24 ( ( party_of_protocol(W) 115.24/115.24 & intruder_holds(key(V,W)) 115.24/115.24 & intruder_message(encrypt(U,V)) ) 115.24/115.24 => intruder_message(V) ) )). 115.24/115.24 115.24/115.24 fof(nonce_a_is_fresh_to_b,axiom,( 115.24/115.24 fresh_to_b(an_a_nonce) )). 115.24/115.24 115.24/115.24 fof(an_a_nonce_is_a_nonce,axiom,( 115.24/115.24 a_nonce(an_a_nonce) )). 115.24/115.24 115.24/115.24 fof(intruder_decomposes_quadruples,axiom,( 115.24/115.24 ! [U,V,W,X] : 115.24/115.24 ( intruder_message(quadruple(U,V,W,X)) 115.24/115.24 => ( intruder_message(U) 115.24/115.24 & intruder_message(V) 115.24/115.24 & intruder_message(W) 115.24/115.24 & intruder_message(X) ) ) )). 115.24/115.24 115.24/115.24 fof(t_is_party_of_protocol,axiom,( 115.24/115.24 party_of_protocol(t) )). 115.24/115.24 115.24/115.24 fof(a_stored_message_i,axiom,( 115.24/115.24 a_stored(pair(b,an_a_nonce)) )). 115.24/115.24 115.24/115.24 fof(intruder_can_record,axiom,( 115.24/115.24 ! [U,V,W] : 115.24/115.24 ( message(sent(U,V,W)) 115.24/115.24 => intruder_message(W) ) )). 115.24/115.24 115.24/115.24 fof(intruder_composes_pairs,axiom,( 115.24/115.24 ! [U,V] : 115.24/115.24 ( ( intruder_message(V) 115.24/115.24 & intruder_message(U) ) 115.24/115.24 => intruder_message(pair(U,V)) ) )). 115.24/115.24 115.24/115.24 fof(b_accepts_secure_session_key,axiom,( 115.24/115.24 ! [V,X,Y] : 115.24/115.24 ( b_holds(key(V,X)) 115.24/115.24 <= ( b_stored(pair(X,Y)) 115.24/115.24 & message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V)))) ) ) )). 115.24/115.24 115.24/115.24 fof(generated_keys_are_not_nonces,axiom,( 115.24/115.24 ! [U] : ~ a_nonce(generate_key(U)) )). 115.24/115.24 115.24/115.24 fof(intruder_decomposes_pairs,axiom,( 115.24/115.24 ! [U,V] : 115.24/115.24 ( ( intruder_message(V) 115.24/115.24 & intruder_message(U) ) 115.24/115.24 <= intruder_message(pair(U,V)) ) )). 115.24/115.24 115.24/115.24 fof(intruder_message_sent,axiom,( 115.24/115.24 ! [U,V,W] : 115.24/115.24 ( message(sent(V,W,U)) 115.24/115.24 <= ( intruder_message(U) 115.24/115.24 & party_of_protocol(W) 115.24/115.24 & party_of_protocol(V) ) ) )). 115.24/115.24 115.24/115.24 fof(a_holds_key_at_for_t,axiom,( 115.24/115.24 a_holds(key(at,t)) )). 115.24/115.24 115.24/115.24 fof(a_sent_message_i_to_b,axiom,( 115.24/115.24 message(sent(a,b,pair(a,an_a_nonce))) )). 115.24/115.24 115.24/115.24 fof(intruder_composes_triples,axiom,( 115.24/115.24 ! [U,V,W] : 115.24/115.24 ( ( intruder_message(V) 115.24/115.24 & intruder_message(W) 115.24/115.24 & intruder_message(U) ) 115.24/115.24 => intruder_message(triple(U,V,W)) ) )). 115.24/115.24 115.24/115.24 fof(generated_times_and_nonces_are_nonces,axiom,( 115.24/115.24 ! [U] : 115.24/115.24 ( a_nonce(generate_b_nonce(U)) 115.24/115.24 & a_nonce(generate_expiration_time(U)) ) )). 115.24/115.24 115.24/115.24 fof(a_forwards_secure,axiom,( 115.24/115.24 ! [U,V,W,X,Y,Z] : 115.24/115.24 ( ( message(sent(a,Y,pair(X,encrypt(U,W)))) 115.24/115.24 & a_holds(key(W,Y)) ) 115.24/115.24 <= ( a_stored(pair(Y,Z)) 115.24/115.24 & message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U))) ) ) )). 115.24/115.24 115.24/115.24 %------------------------------------------- 115.24/115.24 % Proof found 115.24/115.24 % SZS status Theorem for theBenchmark 115.24/115.24 % SZS output start Proof 115.24/115.24 %ClaNum:38(EqnAxiom:0) 115.24/115.24 %VarNum:156(SingletonVarNum:82) 115.24/115.24 %MaxLitNum:5 115.24/115.24 %MaxfuncDepth:5 115.24/115.24 %SharedTerms:24 115.24/115.24 %goalClause: 19 115.24/115.24 [1]P1(a1) 115.24/115.24 [2]P1(a2) 115.24/115.24 [3]P1(a5) 115.24/115.24 [4]P2(a3) 115.24/115.24 [5]P4(a3) 115.24/115.24 [8]P11(f10(a7,a1)) 115.24/115.24 [9]P11(f10(a4,a2)) 115.24/115.24 [10]P5(f10(a7,a5)) 115.24/115.24 [11]P6(f12(a1,a3)) 115.24/115.24 [12]P3(f10(a4,a5)) 115.24/115.24 [13]P8(f13(a2,a1,f12(a2,a3))) 115.24/115.24 [6]P2(f6(x61)) 115.24/115.24 [7]P2(f9(x71)) 115.24/115.24 [14]~P2(f11(x141)) 115.24/115.24 [19]~P5(f10(x191,a2))+~P9(f10(x191,a1)) 115.24/115.24 [17]P10(x171)+~P10(f12(x172,x171)) 115.24/115.24 [18]P10(x181)+~P10(f12(x181,x182)) 115.24/115.24 [24]P10(x241)+~P8(f13(x242,x243,x241)) 115.24/115.24 [25]P10(x251)+~P10(f15(x252,x253,x251)) 115.24/115.24 [26]P10(x261)+~P10(f15(x262,x261,x263)) 115.24/115.24 [27]P10(x271)+~P10(f15(x271,x272,x273)) 115.24/115.24 [30]P10(x301)+~P10(f14(x302,x303,x304,x301)) 115.24/115.24 [31]P10(x311)+~P10(f14(x312,x313,x311,x314)) 115.24/115.25 [32]P10(x321)+~P10(f14(x322,x321,x323,x324)) 115.24/115.25 [33]P10(x331)+~P10(f14(x331,x332,x333,x334)) 115.24/115.25 [15]~P1(x152)+~P10(x151)+P9(f10(x151,x152)) 115.24/115.25 [16]~P10(x161)+~P10(x162)+P10(f12(x161,x162)) 115.24/115.25 [28]~P4(x282)+P7(f12(x281,x282))+~P8(f13(x281,a1,f12(x281,x282))) 115.24/115.25 [34]~P4(x341)+~P8(f13(x342,a1,f12(x342,x341)))+P8(f13(a1,a5,f15(a1,f6(x341),f8(f15(x342,x341,f9(x341)),a7)))) 115.24/115.25 [35]P5(f10(x351,x352))+~P7(f12(x352,x353))+~P8(f13(x352,a1,f12(f8(f15(x352,x351,f9(x353)),a7),f8(f6(x353),x351)))) 115.24/115.25 [36]P3(f10(x361,x362))+~P6(f12(x362,x363))+~P8(f13(a5,a2,f15(f8(f14(x362,x363,x361,x364),a4),x365,x366))) 115.24/115.25 [37]~P6(f12(x371,x375))+P8(f13(a2,x371,f12(x372,f8(x373,x374))))+~P8(f13(a5,a2,f15(f8(f14(x371,x375,x374,x376),a4),x372,x373))) 115.24/115.25 [20]~P10(x201)+~P1(x203)+~P9(f10(x202,x203))+P10(f8(x201,x202)) 115.24/115.25 [21]P10(x211)+~P1(x212)+~P9(f10(x211,x212))+~P10(f8(x213,x211)) 115.24/115.25 [22]~P10(x221)+~P10(x223)+~P10(x222)+P10(f15(x221,x222,x223)) 115.24/115.25 [23]~P1(x231)+~P1(x232)+~P10(x233)+P8(f13(x231,x232,x233)) 115.24/115.25 [29]~P10(x291)+~P10(x292)+~P10(x293)+~P10(x294)+P10(f14(x291,x292,x293,x294)) 115.24/115.25 [38]~P2(x383)+~P11(f10(x385,x381))+~P11(f10(x386,x382))+~P8(f13(x382,a5,f15(x382,x387,f8(f15(x381,x383,x384),x386))))+P8(f13(a5,x381,f15(f8(f14(x382,x383,f11(x383),x384),x385),f8(f15(x381,f11(x383),x384),x386),x387))) 115.24/115.25 %EqnAxiom 115.24/115.25 115.24/115.25 %------------------------------------------- 115.31/115.26 cnf(39,plain, 115.31/115.26 (P10(f12(a2,a3))), 115.31/115.26 inference(scs_inference,[],[13,24])). 115.31/115.26 cnf(41,plain, 115.31/115.26 (P7(f12(a2,a3))), 115.31/115.26 inference(scs_inference,[],[5,13,24,28])). 115.31/115.26 cnf(45,plain, 115.31/115.26 (P10(a2)), 115.31/115.26 inference(scs_inference,[],[5,13,24,28,17,18])). 115.31/115.26 cnf(47,plain, 115.31/115.26 (P10(x471)+~P10(f15(x472,x473,f12(x474,x471)))), 115.31/115.26 inference(scs_inference,[],[25,17])). 115.31/115.26 cnf(48,plain, 115.31/115.26 (P10(x481)+~P10(f15(x482,f12(x481,x483),x484))), 115.31/115.26 inference(scs_inference,[],[26,18])). 115.31/115.26 cnf(49,plain, 115.31/115.26 (P10(x491)+~P10(f15(f14(x492,x493,x494,x491),x495,x496))), 115.31/115.26 inference(scs_inference,[],[27,30])). 115.31/115.26 cnf(50,plain, 115.31/115.26 (~P5(f10(f12(a2,a3),a2))), 115.31/115.26 inference(scs_inference,[],[1,39,19,15])). 115.31/115.26 cnf(51,plain, 115.31/115.26 (P10(x511)+~P10(f14(x512,x513,f14(x514,x511,x515,x516),x517))), 115.31/115.26 inference(scs_inference,[],[31,32])). 115.31/115.26 cnf(52,plain, 115.31/115.26 (P10(x521)+~P10(f14(f15(x522,x523,f12(x524,x521)),x525,x526,x527))), 115.31/115.26 inference(scs_inference,[],[33,47])). 115.31/115.26 cnf(53,plain, 115.31/115.26 (~P10(f15(x531,f12(f15(f14(x532,x533,x534,x535),x536,x537),x538),x539))+P10(x535)), 115.31/115.26 inference(scs_inference,[],[48,49])). 115.31/115.26 cnf(58,plain, 115.31/115.26 (P10(f12(a3,a2))), 115.31/115.26 inference(scs_inference,[],[45,39,16,17])). 115.31/115.26 cnf(59,plain, 115.31/115.26 (P8(f13(a1,a5,f15(a1,f6(a3),f8(f15(a2,a3,f9(a3)),a7))))), 115.31/115.26 inference(scs_inference,[],[5,2,1,39,34,23])). 115.31/115.26 cnf(60,plain, 115.31/115.26 (P10(f15(a1,f6(a3),f8(f15(a2,a3,f9(a3)),a7)))), 115.31/115.26 inference(scs_inference,[],[59,24])). 115.31/115.26 cnf(62,plain, 115.31/115.26 (P10(f8(f15(a2,a3,f9(a3)),a7))), 115.31/115.26 inference(scs_inference,[],[59,24,25])). 115.31/115.26 cnf(64,plain, 115.31/115.26 (P10(f6(a3))), 115.31/115.26 inference(scs_inference,[],[59,24,25,26])). 115.31/115.26 cnf(68,plain, 115.31/115.26 (~P9(f10(x681,a1))+~P8(f13(a2,a1,f12(f8(f15(a2,x681,f9(a3)),a7),f8(f6(a3),x681))))), 115.31/115.26 inference(scs_inference,[],[41,35,19])). 115.31/115.27 cnf(69,plain, 115.31/115.27 (~P8(f13(a2,a1,f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2)))))), 115.31/115.27 inference(scs_inference,[],[1,58,68,15])). 115.31/115.27 cnf(70,plain, 115.31/115.27 (~P10(f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))))), 115.31/115.27 inference(scs_inference,[],[69,2,1,23])). 115.31/115.27 cnf(84,plain, 115.31/115.27 (~P10(f14(x841,f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))),x842,x843))), 115.31/115.27 inference(scs_inference,[],[58,69,2,1,23,47,48,49,51,16,22,29])). 115.31/115.27 cnf(119,plain, 115.31/115.27 (~P10(f14(x1191,x1192,x1193,f12(x1194,f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))))))), 115.31/115.27 inference(scs_inference,[],[70,17,30])). 115.31/115.27 cnf(125,plain, 115.31/115.27 (~P10(f12(x1251,f14(f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))),x1252,x1253,x1254)))), 115.31/115.27 inference(scs_inference,[],[70,17,33])). 115.31/115.27 cnf(126,plain, 115.31/115.27 (~P10(f14(f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))),x1261,x1262,x1263))), 115.31/115.27 inference(scs_inference,[],[60,125,16])). 115.31/115.27 cnf(185,plain, 115.31/115.27 (P9(f10(a3,a2))), 115.31/115.27 inference(scs_inference,[],[39,2,17,15])). 115.31/115.27 cnf(187,plain, 115.31/115.27 (P10(f8(a3,a3))), 115.31/115.27 inference(scs_inference,[],[39,185,2,17,20])). 115.31/115.27 cnf(189,plain, 115.31/115.27 (P9(f10(a3,a1))), 115.31/115.27 inference(scs_inference,[],[39,1,17,15])). 115.31/115.27 cnf(274,plain, 115.31/115.27 (~P8(f13(a5,a2,f15(f8(f14(a1,a3,f12(a3,a2),x2741),a4),f8(f15(a2,f12(a3,a2),f9(a3)),a7),f6(a3))))), 115.31/115.27 inference(scs_inference,[],[70,11,24,37])). 115.31/115.27 cnf(275,plain, 115.31/115.27 (~P10(f15(f8(f14(a1,a3,f12(a3,a2),x2751),a4),f8(f15(a2,f12(a3,a2),f9(a3)),a7),f6(a3)))), 115.31/115.27 inference(scs_inference,[],[274,3,2,23])). 115.31/115.27 cnf(416,plain, 115.31/115.27 (~P8(f13(x4161,x4162,f15(x4163,x4164,f14(x4165,x4166,x4167,f12(x4168,f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))))))))), 115.31/115.27 inference(scs_inference,[],[119,25,24])). 115.31/115.27 cnf(421,plain, 115.31/115.27 (~P10(f15(x4211,x4212,f14(f14(f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))),x4213,x4214,x4215),x4216,x4217,x4218)))), 115.31/115.27 inference(scs_inference,[],[126,25,33])). 115.31/115.27 cnf(435,plain, 115.31/115.27 (P9(f10(f8(f15(a2,a3,f9(a3)),a7),a5))), 115.31/115.27 inference(scs_inference,[],[60,3,25,15])). 115.31/115.27 cnf(509,plain, 115.31/115.27 (P9(f10(f6(a3),a1))), 115.31/115.27 inference(scs_inference,[],[60,1,26,15])). 115.31/115.27 cnf(514,plain, 115.31/115.27 (P9(f10(f6(a3),a5))), 115.31/115.27 inference(scs_inference,[],[60,3,26,15])). 115.31/115.27 cnf(558,plain, 115.31/115.27 (~P10(f15(f14(f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))),x5581,x5582,x5583),x5584,x5585))), 115.31/115.27 inference(scs_inference,[],[70,27,33])). 115.31/115.27 cnf(580,plain, 115.31/115.27 (~P10(f15(f15(x5801,x5802,f15(f8(f14(a1,a3,f12(a3,a2),x5803),a4),f8(f15(a2,f12(a3,a2),f9(a3)),a7),f6(a3))),x5804,x5805))), 115.31/115.27 inference(scs_inference,[],[275,27,25])). 115.31/115.27 cnf(581,plain, 115.31/115.27 (~P10(f15(x5811,x5812,f15(f8(f14(a1,a3,f12(a3,a2),x5813),a4),f8(f15(a2,f12(a3,a2),f9(a3)),a7),f6(a3))))), 115.31/115.27 inference(scs_inference,[],[60,580,22])). 115.31/115.27 cnf(584,plain, 115.31/115.27 (~P10(f15(x5841,f15(f15(f8(f14(a1,a3,f12(a3,a2),x5842),a4),f8(f15(a2,f12(a3,a2),f9(a3)),a7),f6(a3)),x5843,x5844),x5845))), 115.31/115.27 inference(scs_inference,[],[275,27,26])). 115.31/115.27 cnf(585,plain, 115.31/115.27 (~P10(f15(f15(f8(f14(a1,a3,f12(a3,a2),x5851),a4),f8(f15(a2,f12(a3,a2),f9(a3)),a7),f6(a3)),x5852,x5853))), 115.31/115.27 inference(scs_inference,[],[60,584,22])). 115.31/115.27 cnf(637,plain, 115.31/115.27 (P9(f10(a1,a1))), 115.31/115.27 inference(scs_inference,[],[60,1,27,15])). 115.31/115.27 cnf(642,plain, 115.31/115.27 (~P8(f13(a2,a1,f12(f8(f15(a2,f6(a3),f9(a3)),a7),f8(f6(a3),f6(a3)))))), 115.31/115.27 inference(scs_inference,[],[509,41,19,35])). 115.31/115.27 cnf(649,plain, 115.31/115.27 (~P10(f15(f14(x6491,x6492,x6493,f12(f8(f15(a2,f6(a3),f9(a3)),a7),f8(f6(a3),f6(a3)))),x6494,x6495))), 115.31/115.27 inference(scs_inference,[],[642,2,1,23,47,48,49])). 115.31/115.27 cnf(653,plain, 115.31/115.27 (~P10(f8(f15(a2,f6(a3),f9(a3)),a7))+~P10(f8(f6(a3),f6(a3)))), 115.31/115.27 inference(scs_inference,[],[642,2,1,23,47,48,49,51,16])). 115.31/115.27 cnf(655,plain, 115.31/115.27 (~P10(f12(x6551,f12(f8(f15(a2,f6(a3),f9(a3)),a7),f8(f6(a3),f6(a3)))))), 115.31/115.27 inference(scs_inference,[],[642,60,2,1,23,47,48,49,51,16,22])). 115.31/115.27 cnf(660,plain, 115.31/115.27 (~P10(f8(f15(a2,f6(a3),f9(a3)),a7))), 115.31/115.27 inference(scs_inference,[],[514,64,3,653,20])). 115.31/115.27 cnf(661,plain, 115.31/115.27 (~P10(f15(x6611,x6612,f12(x6613,f8(f15(a2,f6(a3),f9(a3)),a7))))), 115.31/115.27 inference(scs_inference,[],[660,47])). 115.31/115.27 cnf(665,plain, 115.31/115.27 (~P10(f15(f14(x6651,x6652,x6653,f8(f15(a2,f6(a3),f9(a3)),a7)),x6654,x6655))), 115.31/115.27 inference(scs_inference,[],[660,47,48,49])). 115.31/115.27 cnf(669,plain, 115.31/115.27 (~P10(f14(x6691,x6692,x6693,f12(f8(f15(a2,f6(a3),f9(a3)),a7),f8(f6(a3),f6(a3)))))), 115.31/115.27 inference(scs_inference,[],[60,649,660,47,48,49,51,22])). 115.31/115.27 cnf(672,plain, 115.31/115.27 (~P10(f14(x6721,f8(f15(a2,f6(a3),f9(a3)),a7),x6722,x6723))), 115.31/115.27 inference(scs_inference,[],[60,649,660,47,48,49,51,22,29])). 115.31/115.27 cnf(684,plain, 115.31/115.27 (~P10(f14(x6841,x6842,x6843,f8(f15(a2,f6(a3),f9(a3)),a7)))), 115.31/115.27 inference(scs_inference,[],[60,665,22])). 115.31/115.27 cnf(689,plain, 115.31/115.27 (~P10(f12(x6891,f8(f15(a2,f6(a3),f9(a3)),a7)))), 115.31/115.27 inference(scs_inference,[],[60,661,22])). 115.31/115.27 cnf(714,plain, 115.31/115.27 (~P8(f13(a2,a1,f12(f8(f15(a2,a1,f9(a3)),a7),f8(f6(a3),a1))))), 115.31/115.27 inference(scs_inference,[],[637,41,19,35])). 115.31/115.27 cnf(729,plain, 115.31/115.27 (~P10(f14(x7291,f12(f8(f15(a2,a1,f9(a3)),a7),f8(f6(a3),a1)),x7292,x7293))), 115.31/115.27 inference(scs_inference,[],[714,60,1,2,23,47,48,49,51,16,22,29])). 115.31/115.27 cnf(751,plain, 115.31/115.27 (~P10(f12(f14(x7511,x7512,x7513,f14(x7514,x7515,x7516,f12(f8(f15(a2,f6(a3),f9(a3)),a7),f8(f6(a3),f6(a3))))),x7517))), 115.31/115.27 inference(scs_inference,[],[669,30,18])). 115.31/115.27 cnf(752,plain, 115.31/115.27 (~P10(f14(x7521,x7522,x7523,f15(x7524,x7525,f14(x7526,f8(f15(a2,f6(a3),f9(a3)),a7),x7527,x7528))))), 115.31/115.27 inference(scs_inference,[],[672,30,25])). 115.31/115.27 cnf(754,plain, 115.31/115.27 (~P10(f14(x7541,x7542,x7543,f15(x7544,f14(x7545,x7546,x7547,f8(f15(a2,f6(a3),f9(a3)),a7)),x7548)))), 115.31/115.27 inference(scs_inference,[],[684,30,26])). 115.31/115.27 cnf(755,plain, 115.31/115.27 (~P10(f15(f14(x7551,x7552,x7553,f12(x7554,f8(f15(a2,f6(a3),f9(a3)),a7))),x7555,x7556))), 115.31/115.27 inference(scs_inference,[],[689,30,27])). 115.31/115.27 cnf(765,plain, 115.31/115.27 (~P10(f12(x7651,f14(x7652,x7653,x7654,f14(x7655,f12(f8(f15(a2,a1,f9(a3)),a7),f8(f6(a3),a1)),x7656,x7657))))), 115.31/115.27 inference(scs_inference,[],[729,30,17])). 115.31/115.27 cnf(771,plain, 115.31/115.27 (~P10(f14(f14(x7711,x7712,x7713,f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2)))),x7714,x7715,x7716))), 115.31/115.27 inference(scs_inference,[],[70,30,33])). 115.31/115.27 cnf(772,plain, 115.31/115.27 (~P10(f14(x7721,x7722,x7723,f14(x7724,f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))),x7725,x7726)))), 115.31/115.27 inference(scs_inference,[],[70,30,32])). 115.31/115.27 cnf(781,plain, 115.31/115.27 (~P10(f14(x7811,x7812,f14(x7813,x7814,x7815,f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2)))),x7816))), 115.31/115.27 inference(scs_inference,[],[70,30,31])). 115.31/115.27 cnf(789,plain, 115.31/115.27 (~P10(f14(x7891,f14(x7892,x7893,f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))),x7894),x7895,x7896))), 115.31/115.27 inference(scs_inference,[],[70,31,32])). 115.31/115.27 cnf(790,plain, 115.31/115.27 (~P10(f14(x7901,x7902,f14(f12(f8(f15(a2,f12(a3,a2),f9(a3)),a7),f8(f6(a3),f12(a3,a2))),x7903,x7904,x7905),x7906))), 115.31/115.27 inference(scs_inference,[],[70,31,33])). 115.31/115.27 cnf(950,plain, 115.31/115.27 (~P8(f13(a2,a1,f12(f8(f15(a2,a3,f9(a3)),a7),f8(f6(a3),a3))))), 115.31/115.27 inference(scs_inference,[],[771,189,30,31,32,33,68])). 115.31/115.27 cnf(964,plain, 115.31/115.27 (P9(f10(f8(a3,a3),a1))), 115.31/115.27 inference(scs_inference,[],[1,187,771,189,30,31,32,33,68,25,26,27,17,18,24,15])). 115.31/115.27 cnf(966,plain, 115.31/115.27 (P10(f12(f8(a3,a3),f8(a3,a3)))), 115.31/115.27 inference(scs_inference,[],[1,187,771,189,30,31,32,33,68,25,26,27,17,18,24,15,16])). 115.31/115.27 cnf(972,plain, 115.31/115.27 (P10(f15(f8(a3,a3),f8(a3,a3),f8(a3,a3)))), 115.31/115.27 inference(scs_inference,[],[1,187,771,435,189,3,30,31,32,33,68,25,26,27,17,18,24,15,16,20,23,22])). 115.31/115.27 cnf(974,plain, 115.31/115.27 (P8(f13(a5,a2,f15(f8(f14(a1,a3,f11(a3),f9(a3)),a4),f8(f15(a2,f11(a3),f9(a3)),a7),f6(a3))))), 115.31/115.27 inference(scs_inference,[],[1,187,771,435,59,189,4,8,9,3,30,31,32,33,68,25,26,27,17,18,24,15,16,20,23,22,38])). 115.31/115.27 cnf(976,plain, 115.31/115.27 (P10(f14(f8(a3,a3),f8(a3,a3),f8(a3,a3),f8(a3,a3)))), 115.31/115.27 inference(scs_inference,[],[1,187,771,435,59,189,4,8,9,3,30,31,32,33,68,25,26,27,17,18,24,15,16,20,23,22,38,29])). 115.31/115.27 cnf(978,plain, 115.31/115.27 (~P8(f13(a2,a1,f12(f8(f15(a2,f12(a2,a3),f9(a3)),a7),f8(f6(a3),f12(a2,a3)))))), 115.31/115.27 inference(scs_inference,[],[1,187,50,771,435,59,189,41,4,8,9,3,30,31,32,33,68,25,26,27,17,18,24,15,16,20,23,22,38,29,35])). 115.31/115.27 cnf(991,plain, 115.31/115.27 (~P8(f13(a2,a1,f12(f8(f15(a2,f8(a3,a3),f9(a3)),a7),f8(f6(a3),f8(a3,a3)))))), 115.31/115.27 inference(scs_inference,[],[964,772,30,31,32,33,68])). 115.31/115.27 cnf(1007,plain, 115.31/115.27 (P9(f10(f12(f8(a3,a3),f8(a3,a3)),a1))), 115.31/115.27 inference(scs_inference,[],[1,966,964,950,772,11,30,31,32,33,68,25,26,27,17,18,24,37,15])). 115.31/115.27 cnf(1043,plain, 115.31/115.27 (P9(f10(f15(f8(a3,a3),f8(a3,a3),f8(a3,a3)),a1))), 115.31/115.27 inference(scs_inference,[],[1,972,1007,978,781,789,11,30,31,32,33,68,25,26,27,17,18,24,37,15])). 115.31/115.27 cnf(1080,plain, 115.31/115.27 (P9(f10(f14(f8(a3,a3),f8(a3,a3),f8(a3,a3),f8(a3,a3)),a1))), 115.31/115.27 inference(scs_inference,[],[1,976,1043,991,790,752,11,31,32,33,68,30,25,26,27,17,18,24,37,15])). 115.31/115.27 cnf(4381,plain, 115.31/115.27 (~P8(f13(x43811,x43812,f15(x43813,x43814,f15(f8(f14(a1,a3,f12(a3,a2),x43815),a4),f8(f15(a2,f12(a3,a2),f9(a3)),a7),f6(a3)))))), 115.31/115.27 inference(scs_inference,[],[581,585,32,30,31,33,26,25,27,18,17,24])). 115.31/115.27 cnf(4399,plain, 115.31/115.27 (~P10(f14(x43991,x43992,f12(x43993,f12(f8(f15(a2,f6(a3),f9(a3)),a7),f8(f6(a3),f6(a3)))),x43994))), 115.31/115.27 inference(scs_inference,[],[655,32,30,31])). 115.31/115.27 cnf(4401,plain, 115.31/115.27 (~P10(f14(f12(x44011,f12(f8(f15(a2,f6(a3),f9(a3)),a7),f8(f6(a3),f6(a3)))),x44012,x44013,x44014))), 115.31/115.27 inference(scs_inference,[],[655,32,30,31,33])). 115.31/115.27 cnf(4403,plain, 115.31/115.27 (~P10(f15(x44031,f12(x44032,f12(f8(f15(a2,f6(a3),f9(a3)),a7),f8(f6(a3),f6(a3)))),x44033))), 115.31/115.27 inference(scs_inference,[],[655,32,30,31,33,26])). 115.31/115.27 cnf(4407,plain, 115.31/115.27 (~P10(f15(f12(x44071,f12(f8(f15(a2,f6(a3),f9(a3)),a7),f8(f6(a3),f6(a3)))),x44072,x44073))), 115.31/115.27 inference(scs_inference,[],[655,558,32,30,31,33,26,25,27])). 115.31/115.27 cnf(4411,plain, 115.31/115.27 (~P10(f12(x44111,f12(x44112,f12(f8(f15(a2,f6(a3),f9(a3)),a7),f8(f6(a3),f6(a3))))))), 115.31/115.27 inference(scs_inference,[],[655,558,32,30,31,33,26,25,27,18,17])). 115.31/115.27 cnf(5582,plain, 115.31/115.27 (P8(f13(a2,a1,f12(f8(f15(a2,f11(a3),f9(a3)),a7),f8(f6(a3),f11(a3)))))), 115.31/115.27 inference(scs_inference,[],[60,11,4411,751,655,964,974,24,26,27,48,47,49,51,19,52,16,37])). 115.31/115.27 cnf(5602,plain, 115.31/115.27 (~P10(f15(x56021,f12(f15(f14(x56022,x56023,x56024,f11(a3)),x56025,x56026),x56027),x56028))), 115.31/115.27 inference(scs_inference,[],[1,60,11,8,4411,421,751,754,655,4,41,964,4381,416,974,24,26,27,48,47,49,51,19,52,16,37,35,22,23,29,38,68,15,53])). 115.31/115.27 cnf(5635,plain, 115.31/115.27 (~P10(f12(f8(f15(a2,a3,f9(a3)),a7),f8(f6(a3),a3)))), 115.31/115.27 inference(scs_inference,[],[1,60,2,4399,4401,765,755,84,1007,950,5582,24,17,48,47,49,51,19,52,16,22,23])). 115.31/115.27 cnf(5694,plain, 115.31/115.27 ($false), 115.31/115.27 inference(scs_inference,[],[1,60,2,4403,4407,126,64,62,1080,185,991,5635,5602,48,47,49,51,19,52,16,22,23,20]), 115.31/115.27 ['proof']). 115.31/115.27 % SZS output end Proof 115.31/115.27 % Total time :114.510000s 115.40/115.33 EOF