%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWV018+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n027.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 : Wed Jul 27 13:19:41 EDT 2022 % Result : Timeout 299.85s 300.01s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.13 % Problem : SWV018+1 : TPTP v8.1.0. Released v2.4.0. % 0.10/0.13 % Command : otter-tptp-script %s % 0.13/0.35 % Computer : n027.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Wed Jul 27 05:54:36 EDT 2022 % 0.13/0.35 % CPUTime : % 1.82/2.02 ----- Otter 3.3f, August 2004 ----- % 1.82/2.02 The process was started by sandbox on n027.cluster.edu, % 1.82/2.02 Wed Jul 27 05:54:36 2022 % 1.82/2.02 The command was "./otter". The process ID is 29591. % 1.82/2.02 % 1.82/2.02 set(prolog_style_variables). % 1.82/2.02 set(auto). % 1.82/2.02 dependent: set(auto1). % 1.82/2.02 dependent: set(process_input). % 1.82/2.02 dependent: clear(print_kept). % 1.82/2.02 dependent: clear(print_new_demod). % 1.82/2.02 dependent: clear(print_back_demod). % 1.82/2.02 dependent: clear(print_back_sub). % 1.82/2.02 dependent: set(control_memory). % 1.82/2.02 dependent: assign(max_mem, 12000). % 1.82/2.02 dependent: assign(pick_given_ratio, 4). % 1.82/2.02 dependent: assign(stats_level, 1). % 1.82/2.02 dependent: assign(max_seconds, 10800). % 1.82/2.02 clear(print_given). % 1.82/2.02 % 1.82/2.02 formula_list(usable). % 1.82/2.02 a_holds(key(at,t)). % 1.82/2.02 party_of_protocol(a). % 1.82/2.02 message(sent(a,b,pair(a,an_a_nonce))). % 1.82/2.02 a_stored(pair(b,an_a_nonce)). % 1.82/2.02 all U V W X Y Z (message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U)))&a_stored(pair(Y,Z))->message(sent(a,Y,pair(X,encrypt(U,W))))&a_holds(key(W,Y))). % 1.82/2.02 b_holds(key(bt,t)). % 1.82/2.02 party_of_protocol(b). % 1.82/2.02 fresh_to_b(an_a_nonce). % 1.82/2.02 all U V (message(sent(U,b,pair(U,V)))&fresh_to_b(V)->message(sent(b,t,triple(b,generate_b_nonce(V),encrypt(triple(U,V,generate_expiration_time(V)),bt))))&b_stored(pair(U,V))). % 1.82/2.02 all V X Y (message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V))))&a_key(V)&b_stored(pair(X,Y))->b_holds(key(V,X))). % 1.82/2.02 t_holds(key(at,a)). % 1.82/2.02 t_holds(key(bt,b)). % 1.82/2.02 party_of_protocol(t). % 1.82/2.02 all U V W X Y Z X1 (message(sent(U,t,triple(U,V,encrypt(triple(W,X,Y),Z))))&t_holds(key(Z,U))&t_holds(key(X1,W))&a_nonce(X)->message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V)))). % 1.82/2.02 all U V W (message(sent(U,V,W))->intruder_message(W)). % 1.82/2.02 all U V (intruder_message(pair(U,V))->intruder_message(U)&intruder_message(V)). % 1.82/2.02 all U V W (intruder_message(triple(U,V,W))->intruder_message(U)&intruder_message(V)&intruder_message(W)). % 1.82/2.02 all U V W X (intruder_message(quadruple(U,V,W,X))->intruder_message(U)&intruder_message(V)&intruder_message(W)&intruder_message(X)). % 1.82/2.02 all U V (intruder_message(U)&intruder_message(V)->intruder_message(pair(U,V))). % 1.82/2.02 all U V W (intruder_message(U)&intruder_message(V)&intruder_message(W)->intruder_message(triple(U,V,W))). % 1.82/2.02 all U V W X (intruder_message(U)&intruder_message(V)&intruder_message(W)&intruder_message(X)->intruder_message(quadruple(U,V,W,X))). % 1.82/2.02 all U V W (intruder_message(encrypt(U,V))&intruder_holds(key(V,W))&party_of_protocol(W)->intruder_message(V)). % 1.82/2.02 all U V W (intruder_message(U)&party_of_protocol(V)&party_of_protocol(W)->message(sent(V,W,U))). % 1.82/2.02 all V W (intruder_message(V)&party_of_protocol(W)->intruder_holds(key(V,W))). % 1.82/2.02 all U V W (intruder_message(U)&intruder_holds(key(V,W))&party_of_protocol(W)->intruder_message(encrypt(U,V))). % 1.82/2.02 a_nonce(an_a_nonce). % 1.82/2.02 all U (-a_nonce(generate_key(U))). % 1.82/2.02 all U (a_nonce(generate_expiration_time(U))&a_nonce(generate_b_nonce(U))). % 1.82/2.02 all U (-(a_key(U)&a_nonce(U))). % 1.82/2.02 all U a_key(generate_key(U)). % 1.82/2.02 fresh_intruder_nonce(an_intruder_nonce). % 1.82/2.02 all U (fresh_intruder_nonce(U)->fresh_intruder_nonce(generate_intruder_nonce(U))). % 1.82/2.02 all U (fresh_intruder_nonce(U)->fresh_to_b(U)&intruder_message(U)). % 1.82/2.02 -(exists X Y Z (intruder_holds(key(X,Y))&b_holds(key(X,Z)))). % 1.82/2.02 end_of_list. % 1.82/2.02 % 1.82/2.02 -------> usable clausifies to: % 1.82/2.02 % 1.82/2.02 list(usable). % 1.82/2.02 0 [] a_holds(key(at,t)). % 1.82/2.02 0 [] party_of_protocol(a). % 1.82/2.02 0 [] message(sent(a,b,pair(a,an_a_nonce))). % 1.82/2.02 0 [] a_stored(pair(b,an_a_nonce)). % 1.82/2.02 0 [] -message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U)))| -a_stored(pair(Y,Z))|message(sent(a,Y,pair(X,encrypt(U,W)))). % 1.82/2.02 0 [] -message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U)))| -a_stored(pair(Y,Z))|a_holds(key(W,Y)). % 1.82/2.02 0 [] b_holds(key(bt,t)). % 1.82/2.02 0 [] party_of_protocol(b). % 1.82/2.02 0 [] fresh_to_b(an_a_nonce). % 1.82/2.02 0 [] -message(sent(U,b,pair(U,V)))| -fresh_to_b(V)|message(sent(b,t,triple(b,generate_b_nonce(V),encrypt(triple(U,V,generate_expiration_time(V)),bt)))). % 1.82/2.02 0 [] -message(sent(U,b,pair(U,V)))| -fresh_to_b(V)|b_stored(pair(U,V)). % 1.82/2.02 0 [] -message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V))))| -a_key(V)| -b_stored(pair(X,Y))|b_holds(key(V,X)). % 1.82/2.02 0 [] t_holds(key(at,a)). % 1.82/2.02 0 [] t_holds(key(bt,b)). % 1.82/2.02 0 [] party_of_protocol(t). % 1.82/2.02 0 [] -message(sent(U,t,triple(U,V,encrypt(triple(W,X,Y),Z))))| -t_holds(key(Z,U))| -t_holds(key(X1,W))| -a_nonce(X)|message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V))). % 1.82/2.02 0 [] -message(sent(U,V,W))|intruder_message(W). % 1.82/2.02 0 [] -intruder_message(pair(U,V))|intruder_message(U). % 1.82/2.02 0 [] -intruder_message(pair(U,V))|intruder_message(V). % 1.82/2.02 0 [] -intruder_message(triple(U,V,W))|intruder_message(U). % 1.82/2.02 0 [] -intruder_message(triple(U,V,W))|intruder_message(V). % 1.82/2.02 0 [] -intruder_message(triple(U,V,W))|intruder_message(W). % 1.82/2.02 0 [] -intruder_message(quadruple(U,V,W,X))|intruder_message(U). % 1.82/2.02 0 [] -intruder_message(quadruple(U,V,W,X))|intruder_message(V). % 1.82/2.02 0 [] -intruder_message(quadruple(U,V,W,X))|intruder_message(W). % 1.82/2.02 0 [] -intruder_message(quadruple(U,V,W,X))|intruder_message(X). % 1.82/2.02 0 [] -intruder_message(U)| -intruder_message(V)|intruder_message(pair(U,V)). % 1.82/2.02 0 [] -intruder_message(U)| -intruder_message(V)| -intruder_message(W)|intruder_message(triple(U,V,W)). % 1.82/2.02 0 [] -intruder_message(U)| -intruder_message(V)| -intruder_message(W)| -intruder_message(X)|intruder_message(quadruple(U,V,W,X)). % 1.82/2.02 0 [] -intruder_message(encrypt(U,V))| -intruder_holds(key(V,W))| -party_of_protocol(W)|intruder_message(V). % 1.82/2.02 0 [] -intruder_message(U)| -party_of_protocol(V)| -party_of_protocol(W)|message(sent(V,W,U)). % 1.82/2.02 0 [] -intruder_message(V)| -party_of_protocol(W)|intruder_holds(key(V,W)). % 1.82/2.02 0 [] -intruder_message(U)| -intruder_holds(key(V,W))| -party_of_protocol(W)|intruder_message(encrypt(U,V)). % 1.82/2.02 0 [] a_nonce(an_a_nonce). % 1.82/2.02 0 [] -a_nonce(generate_key(U)). % 1.82/2.02 0 [] a_nonce(generate_expiration_time(U)). % 1.82/2.02 0 [] a_nonce(generate_b_nonce(U)). % 1.82/2.02 0 [] -a_key(U)| -a_nonce(U). % 1.82/2.02 0 [] a_key(generate_key(U)). % 1.82/2.02 0 [] fresh_intruder_nonce(an_intruder_nonce). % 1.82/2.02 0 [] -fresh_intruder_nonce(U)|fresh_intruder_nonce(generate_intruder_nonce(U)). % 1.82/2.02 0 [] -fresh_intruder_nonce(U)|fresh_to_b(U). % 1.82/2.02 0 [] -fresh_intruder_nonce(U)|intruder_message(U). % 1.82/2.02 0 [] -intruder_holds(key(X,Y))| -b_holds(key(X,Z)). % 1.82/2.02 end_of_list. % 1.82/2.02 % 1.82/2.02 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5. % 1.82/2.02 % 1.82/2.02 This is a Horn set without equality. The strategy will % 1.82/2.02 be hyperresolution, with satellites in sos and nuclei % 1.82/2.02 in usable. % 1.82/2.02 % 1.82/2.02 dependent: set(hyper_res). % 1.82/2.02 dependent: clear(order_hyper). % 1.82/2.02 % 1.82/2.02 ------------> process usable: % 1.82/2.02 ** KEPT (pick-wt=27): 1 [] -message(sent(t,a,triple(encrypt(quadruple(A,B,C,D),at),E,F)))| -a_stored(pair(A,B))|message(sent(a,A,pair(E,encrypt(F,C)))). % 1.82/2.02 ** KEPT (pick-wt=22): 2 [] -message(sent(t,a,triple(encrypt(quadruple(A,B,C,D),at),E,F)))| -a_stored(pair(A,B))|a_holds(key(C,A)). % 1.82/2.02 ** KEPT (pick-wt=24): 3 [] -message(sent(A,b,pair(A,B)))| -fresh_to_b(B)|message(sent(b,t,triple(b,generate_b_nonce(B),encrypt(triple(A,B,generate_expiration_time(B)),bt)))). % 1.82/2.02 ** KEPT (pick-wt=13): 4 [] -message(sent(A,b,pair(A,B)))| -fresh_to_b(B)|b_stored(pair(A,B)). % 1.82/2.02 ** KEPT (pick-wt=26): 5 [] -message(sent(A,b,pair(encrypt(triple(A,B,generate_expiration_time(C)),bt),encrypt(generate_b_nonce(C),B))))| -a_key(B)| -b_stored(pair(A,C))|b_holds(key(B,A)). % 1.82/2.03 ** KEPT (pick-wt=44): 6 [] -message(sent(A,t,triple(A,B,encrypt(triple(C,D,E),F))))| -t_holds(key(F,A))| -t_holds(key(G,C))| -a_nonce(D)|message(sent(t,C,triple(encrypt(quadruple(A,D,generate_key(D),E),G),encrypt(triple(C,generate_key(D),E),F),B))). % 1.82/2.03 ** KEPT (pick-wt=7): 7 [] -message(sent(A,B,C))|intruder_message(C). % 1.82/2.03 ** KEPT (pick-wt=6): 8 [] -intruder_message(pair(A,B))|intruder_message(A). % 1.82/2.03 ** KEPT (pick-wt=6): 9 [] -intruder_message(pair(A,B))|intruder_message(B). % 1.82/2.03 ** KEPT (pick-wt=7): 10 [] -intruder_message(triple(A,B,C))|intruder_message(A). % 1.82/2.03 ** KEPT (pick-wt=7): 11 [] -intruder_message(triple(A,B,C))|intruder_message(B). % 1.82/2.03 ** KEPT (pick-wt=7): 12 [] -intruder_message(triple(A,B,C))|intruder_message(C). % 1.82/2.03 ** KEPT (pick-wt=8): 13 [] -intruder_message(quadruple(A,B,C,D))|intruder_message(A). % 1.82/2.03 ** KEPT (pick-wt=8): 14 [] -intruder_message(quadruple(A,B,C,D))|intruder_message(B). % 1.82/2.03 ** KEPT (pick-wt=8): 15 [] -intruder_message(quadruple(A,B,C,D))|intruder_message(C). % 1.82/2.03 ** KEPT (pick-wt=8): 16 [] -intruder_messAlarm clock % 299.85/300.01 Otter interrupted % 299.85/300.01 PROOF NOT FOUND %------------------------------------------------------------------------------