%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWV010+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n004.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 13:19:40 EDT 2022 % Result : Unknown 1.73s 1.88s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWV010+1 : TPTP v8.1.0. Released v2.4.0. % 0.06/0.12 % Command : otter-tptp-script %s % 0.14/0.33 % Computer : n004.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Wed Jul 27 05:38:06 EDT 2022 % 0.14/0.33 % CPUTime : % 1.73/1.88 ----- Otter 3.3f, August 2004 ----- % 1.73/1.88 The process was started by sandbox on n004.cluster.edu, % 1.73/1.88 Wed Jul 27 05:38:06 2022 % 1.73/1.88 The command was "./otter". The process ID is 22355. % 1.73/1.88 % 1.73/1.88 set(prolog_style_variables). % 1.73/1.88 set(auto). % 1.73/1.88 dependent: set(auto1). % 1.73/1.88 dependent: set(process_input). % 1.73/1.88 dependent: clear(print_kept). % 1.73/1.88 dependent: clear(print_new_demod). % 1.73/1.88 dependent: clear(print_back_demod). % 1.73/1.88 dependent: clear(print_back_sub). % 1.73/1.88 dependent: set(control_memory). % 1.73/1.88 dependent: assign(max_mem, 12000). % 1.73/1.88 dependent: assign(pick_given_ratio, 4). % 1.73/1.88 dependent: assign(stats_level, 1). % 1.73/1.88 dependent: assign(max_seconds, 10800). % 1.73/1.88 clear(print_given). % 1.73/1.88 % 1.73/1.88 formula_list(usable). % 1.73/1.88 a_holds(key(at,t)). % 1.73/1.88 party_of_protocol(a). % 1.73/1.88 message(sent(a,b,pair(a,an_a_nonce))). % 1.73/1.88 a_stored(pair(b,an_a_nonce)). % 1.73/1.88 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))). % 1.73/1.88 b_holds(key(bt,t)). % 1.73/1.88 party_of_protocol(b). % 1.73/1.88 fresh_to_b(an_a_nonce). % 1.73/1.88 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))). % 1.73/1.88 all V X Y (message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V))))&b_stored(pair(X,Y))->b_holds(key(V,X))). % 1.73/1.88 t_holds(key(at,a)). % 1.73/1.88 t_holds(key(bt,b)). % 1.73/1.88 party_of_protocol(t). % 1.73/1.88 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))->message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V)))). % 1.73/1.88 end_of_list. % 1.73/1.88 % 1.73/1.88 -------> usable clausifies to: % 1.73/1.88 % 1.73/1.88 list(usable). % 1.73/1.88 0 [] a_holds(key(at,t)). % 1.73/1.88 0 [] party_of_protocol(a). % 1.73/1.88 0 [] message(sent(a,b,pair(a,an_a_nonce))). % 1.73/1.88 0 [] a_stored(pair(b,an_a_nonce)). % 1.73/1.88 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)))). % 1.73/1.88 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)). % 1.73/1.88 0 [] b_holds(key(bt,t)). % 1.73/1.88 0 [] party_of_protocol(b). % 1.73/1.88 0 [] fresh_to_b(an_a_nonce). % 1.73/1.88 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)))). % 1.73/1.88 0 [] -message(sent(U,b,pair(U,V)))| -fresh_to_b(V)|b_stored(pair(U,V)). % 1.73/1.88 0 [] -message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V))))| -b_stored(pair(X,Y))|b_holds(key(V,X)). % 1.73/1.88 0 [] t_holds(key(at,a)). % 1.73/1.88 0 [] t_holds(key(bt,b)). % 1.73/1.88 0 [] party_of_protocol(t). % 1.73/1.88 0 [] -message(sent(U,t,triple(U,V,encrypt(triple(W,X,Y),Z))))| -t_holds(key(Z,U))| -t_holds(key(X1,W))|message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V))). % 1.73/1.88 end_of_list. % 1.73/1.88 % 1.73/1.88 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4. % 1.73/1.88 % 1.73/1.88 This is a Horn set without equality. The strategy will % 1.73/1.88 be hyperresolution, with satellites in sos and nuclei % 1.73/1.88 in usable. % 1.73/1.88 % 1.73/1.88 dependent: set(hyper_res). % 1.73/1.88 dependent: clear(order_hyper). % 1.73/1.88 % 1.73/1.88 ------------> process usable: % 1.73/1.88 ** 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)))). % 1.73/1.88 ** 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)). % 1.73/1.88 ** 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)))). % 1.73/1.88 ** KEPT (pick-wt=13): 4 [] -message(sent(A,b,pair(A,B)))| -fresh_to_b(B)|b_stored(pair(A,B)). % 1.73/1.88 ** KEPT (pick-wt=24): 5 [] -message(sent(A,b,pair(encrypt(triple(A,B,generate_expiration_time(C)),bt),encrypt(generate_b_nonce(C),B))))| -b_stored(pair(A,C))|b_holds(key(B,A)). % 1.73/1.88 ** KEPT (pick-wt=42): 6 [] -message(sent(A,t,triple(A,B,encrypt(triple(C,D,E),F))))| -t_holds(key(F,A))| -t_holds(key(G,C))|message(sent(t,C,triple(encrypt(quadruple(A,D,generate_key(D),E),G),encrypt(triple(C,generate_key(D),E),F),B))). % 1.73/1.88 % 1.73/1.88 ------------> process sos: % 1.73/1.88 ** KEPT (pick-wt=4): 7 [] a_holds(key(at,t)). % 1.73/1.88 ** KEPT (pick-wt=2): 8 [] party_of_protocol(a). % 1.73/1.88 ** KEPT (pick-wt=7): 9 [] message(sent(a,b,pair(a,an_a_nonce))). % 1.73/1.88 ** KEPT (pick-wt=4): 10 [] a_stored(pair(b,an_a_nonce)). % 1.73/1.88 ** KEPT (pick-wt=4): 11 [] b_holds(key(bt,t)). % 1.73/1.88 ** KEPT (pick-wt=2): 12 [] party_of_protocol(b). % 1.73/1.88 ** KEPT (pick-wt=2): 13 [] fresh_to_b(an_a_nonce). % 1.73/1.88 ** KEPT (pick-wt=4): 14 [] t_holds(key(at,a)). % 1.73/1.88 ** KEPT (pick-wt=4): 15 [] t_holds(key(bt,b)). % 1.73/1.88 ** KEPT (pick-wt=2): 16 [] party_of_protocol(t). % 1.73/1.88 % 1.73/1.88 ======= end of input processing ======= % 1.73/1.88 % 1.73/1.88 =========== start of search =========== % 1.73/1.88 % 1.73/1.88 Search stopped because sos empty. % 1.73/1.88 % 1.73/1.88 % 1.73/1.88 Search stopped because sos empty. % 1.73/1.88 % 1.73/1.88 ============ end of search ============ % 1.73/1.88 % 1.73/1.88 -------------- statistics ------------- % 1.73/1.88 clauses given 16 % 1.73/1.88 clauses generated 6 % 1.73/1.88 clauses kept 22 % 1.73/1.88 clauses forward subsumed 0 % 1.73/1.88 clauses back subsumed 0 % 1.73/1.88 Kbytes malloced 976 % 1.73/1.88 % 1.73/1.88 ----------- times (seconds) ----------- % 1.73/1.88 user CPU time 0.00 (0 hr, 0 min, 0 sec) % 1.73/1.88 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 1.73/1.88 wall-clock time 1 (0 hr, 0 min, 1 sec) % 1.73/1.88 % 1.73/1.88 Process 22355 finished Wed Jul 27 05:38:07 2022 % 1.73/1.88 Otter interrupted % 1.73/1.88 PROOF NOT FOUND %------------------------------------------------------------------------------