%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM007-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n015.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 13:07:25 EDT 2022 % Result : Unknown 60.64s 60.85s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM007-1 : TPTP v8.1.0. Released v1.0.0. % 0.12/0.13 % Command : otter-tptp-script %s % 0.12/0.34 % Computer : n015.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Wed Jul 27 10:08:57 EDT 2022 % 0.12/0.34 % CPUTime : % 2.02/2.20 ----- Otter 3.3f, August 2004 ----- % 2.02/2.20 The process was started by sandbox on n015.cluster.edu, % 2.02/2.20 Wed Jul 27 10:08:57 2022 % 2.02/2.20 The command was "./otter". The process ID is 6086. % 2.02/2.20 % 2.02/2.20 set(prolog_style_variables). % 2.02/2.20 set(auto). % 2.02/2.20 dependent: set(auto1). % 2.02/2.20 dependent: set(process_input). % 2.02/2.20 dependent: clear(print_kept). % 2.02/2.20 dependent: clear(print_new_demod). % 2.02/2.20 dependent: clear(print_back_demod). % 2.02/2.20 dependent: clear(print_back_sub). % 2.02/2.20 dependent: set(control_memory). % 2.02/2.20 dependent: assign(max_mem, 12000). % 2.02/2.20 dependent: assign(pick_given_ratio, 4). % 2.02/2.20 dependent: assign(stats_level, 1). % 2.02/2.20 dependent: assign(max_seconds, 10800). % 2.02/2.20 clear(print_given). % 2.02/2.20 % 2.02/2.20 list(usable). % 2.02/2.20 0 [] A=A. % 2.02/2.20 0 [] divides(X,X). % 2.02/2.20 0 [] divides(X,Z)| -divides(X,Y)| -divides(Y,Z). % 2.02/2.20 0 [] divides(X,multiply(X,Y)). % 2.02/2.20 0 [] divides(multiply(X,Y),multiply(X,Z))| -divides(Y,Z). % 2.02/2.20 0 [] divides(quotient(X,X),Y). % 2.02/2.20 0 [] divides(X,multiply(Y,Z))| -divides(Y,X)| -divides(quotient(X,Y),Z). % 2.02/2.20 0 [] divides(X,quotient(Y,Z))| -divides(Z,Y)| -divides(multiply(X,Z),Y). % 2.02/2.20 0 [] divides(quotient(X,Y),Z)| -divides(Y,X)| -divides(X,multiply(Y,Z)). % 2.02/2.20 0 [] divides(U,Y)| -gcd(X,Y,U). % 2.02/2.20 0 [] divides(U,X)| -gcd(X,Y,U). % 2.02/2.20 0 [] divides(V,U)| -divides(V,X)| -divides(V,Y)| -gcd(X,Y,U). % 2.02/2.20 0 [] gcd(X,Y,U)| -divides(U,X)| -divides(U,Y)|divides(h(Y,X,U),X). % 2.02/2.20 0 [] gcd(X,Y,U)| -divides(U,X)| -divides(U,Y)|divides(h(Y,X,U),Y). % 2.02/2.20 0 [] gcd(X,Y,U)| -divides(U,X)| -divides(U,Y)| -divides(h(Y,X,U),U). % 2.02/2.20 0 [] gcd(multiply(Z,X),multiply(Z,Y),multiply(Z,U))| -gcd(X,Y,U). % 2.02/2.20 0 [] lcm(X,Y,U)| -divides(X,U)| -divides(Y,U)|divides(X,k(Y,X,U)). % 2.02/2.20 0 [] lcm(X,Y,U)| -divides(X,U)| -divides(Y,U)|divides(Y,k(Y,X,U)). % 2.02/2.20 0 [] lcm(X,Y,U)| -divides(X,U)| -divides(Y,U)| -divides(U,k(Y,X,U)). % 2.02/2.20 0 [] k(X,Y,Z)=k(Y,X,Z). % 2.02/2.20 0 [] h(X,Y,Z)=h(Y,X,Z). % 2.02/2.20 0 [] multiply(X,Y)=multiply(Y,X). % 2.02/2.20 0 [] -lcm(X,Y,Z)|lcm(Y,X,Z). % 2.02/2.20 0 [] -gcd(X,Y,Z)|gcd(Y,X,Z). % 2.02/2.20 0 [] gcd(a,b,c). % 2.02/2.20 0 [] -lcm(a,b,quotient(multiply(a,b),c)). % 2.02/2.20 end_of_list. % 2.02/2.20 % 2.02/2.20 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4. % 2.02/2.20 % 2.02/2.20 This ia a non-Horn set with equality. The strategy will be % 2.02/2.20 Knuth-Bendix, ordered hyper_res, factoring, and unit % 2.02/2.20 deletion, with positive clauses in sos and nonpositive % 2.02/2.20 clauses in usable. % 2.02/2.20 % 2.02/2.20 dependent: set(knuth_bendix). % 2.02/2.20 dependent: set(anl_eq). % 2.02/2.20 dependent: set(para_from). % 2.02/2.20 dependent: set(para_into). % 2.02/2.20 dependent: clear(para_from_right). % 2.02/2.20 dependent: clear(para_into_right). % 2.02/2.20 dependent: set(para_from_vars). % 2.02/2.20 dependent: set(eq_units_both_ways). % 2.02/2.20 dependent: set(dynamic_demod_all). % 2.02/2.20 dependent: set(dynamic_demod). % 2.02/2.20 dependent: set(order_eq). % 2.02/2.20 dependent: set(back_demod). % 2.02/2.20 dependent: set(lrpo). % 2.02/2.20 dependent: set(hyper_res). % 2.02/2.20 dependent: set(unit_deletion). % 2.02/2.20 dependent: set(factor). % 2.02/2.20 % 2.02/2.20 ------------> process usable: % 2.02/2.20 ** KEPT (pick-wt=9): 1 [] divides(A,B)| -divides(A,C)| -divides(C,B). % 2.02/2.20 ** KEPT (pick-wt=10): 2 [] divides(multiply(A,B),multiply(A,C))| -divides(B,C). % 2.02/2.20 ** KEPT (pick-wt=13): 3 [] divides(A,multiply(B,C))| -divides(B,A)| -divides(quotient(A,B),C). % 2.02/2.20 ** KEPT (pick-wt=13): 4 [] divides(A,quotient(B,C))| -divides(C,B)| -divides(multiply(A,C),B). % 2.02/2.20 ** KEPT (pick-wt=13): 5 [] divides(quotient(A,B),C)| -divides(B,A)| -divides(A,multiply(B,C)). % 2.02/2.20 ** KEPT (pick-wt=7): 6 [] divides(A,B)| -gcd(C,B,A). % 2.02/2.20 ** KEPT (pick-wt=7): 7 [] divides(A,B)| -gcd(B,C,A). % 2.02/2.20 ** KEPT (pick-wt=13): 8 [] divides(A,B)| -divides(A,C)| -divides(A,D)| -gcd(C,D,B). % 2.02/2.20 ** KEPT (pick-wt=16): 9 [] gcd(A,B,C)| -divides(C,A)| -divides(C,B)|divides(h(B,A,C),A). % 2.02/2.20 ** KEPT (pick-wt=16): 10 [] gcd(A,B,C)| -divides(C,A)| -divides(C,B)|divides(h(B,A,C),B). % 2.02/2.20 ** KEPT (pick-wt=16): 11 [] gcd(A,B,C)| -divides(C,A)| -divides(C,B)| -divides(h(B,A,C),C). % 2.02/2.20 ** KEPT (pick-wt=14): 12 [] gcd(multiply(A,B),multiply(A,C),multiply(A,D))| -gcd(B,C,D). % 2.02/2.20 ** KEPT (pick-wt=16): 13 [] lcm(A,B,C)| -divides(A,C)| -divides(B,C)|divides(A,k(B,A,C)). % 2.02/2.20 ** KEPT (pick-wt=16): 14 [] lcm(A,B,C)| -divides(A,C)| -divides(B,C)|divides(B,k(B,A,C)). % 2.02/2.20 ** KEPT (pick-wt=16): 15 [] lcm(A,B,C)| -divides(A,C)| -divides(B,C)| -divides(C,k(B,A,C)). % 2.02/2.20 ** KEPT (pick-wt=8): 16 [] -lcm(A,B,C)|lcm(B,A,C). % 2.02/2.20 ** KEPT (pick-wt=8): 17 [] -gcd(A,B,C)|gcd(B,A,C). % 2.02/2.20 ** KEPT (pick-wt=8): 18 [] -lcm(a,b,quotient(multiply(a,b),c)). % 60.64/60.85 % 60.64/60.85 ------------> process sos: % 60.64/60.85 ** KEPT (pick-wt=3): 24 [] A=A. % 60.64/60.85 ** KEPT (pick-wt=3): 25 [] divides(A,A). % 60.64/60.85 ** KEPT (pick-wt=5): 26 [] divides(A,multiply(A,B)). % 60.64/60.85 ** KEPT (pick-wt=5): 27 [] divides(quotient(A,A),B). % 60.64/60.85 ** KEPT (pick-wt=9): 28 [] k(A,B,C)=k(B,A,C). % 60.64/60.85 ** KEPT (pick-wt=9): 29 [] h(A,B,C)=h(B,A,C). % 60.64/60.85 ** KEPT (pick-wt=7): 30 [] multiply(A,B)=multiply(B,A). % 60.64/60.85 ** KEPT (pick-wt=4): 31 [] gcd(a,b,c). % 60.64/60.85 Following clause subsumed by 24 during input processing: 0 [copy,24,flip.1] A=A. % 60.64/60.85 Following clause subsumed by 28 during input processing: 0 [copy,28,flip.1] k(A,B,C)=k(B,A,C). % 60.64/60.85 Following clause subsumed by 29 during input processing: 0 [copy,29,flip.1] h(A,B,C)=h(B,A,C). % 60.64/60.85 Following clause subsumed by 30 during input processing: 0 [copy,30,flip.1] multiply(A,B)=multiply(B,A). % 60.64/60.85 % 60.64/60.85 ======= end of input processing ======= % 60.64/60.85 % 60.64/60.85 =========== start of search =========== % 60.64/60.85 % 60.64/60.85 % 60.64/60.85 Resetting weight limit to 9. % 60.64/60.85 % 60.64/60.85 % 60.64/60.85 Resetting weight limit to 9. % 60.64/60.85 % 60.64/60.85 sos_size=1221 % 60.64/60.85 % 60.64/60.85 Search stopped because sos empty. % 60.64/60.85 % 60.64/60.85 % 60.64/60.85 Search stopped because sos empty. % 60.64/60.85 % 60.64/60.85 ============ end of search ============ % 60.64/60.85 % 60.64/60.85 -------------- statistics ------------- % 60.64/60.85 clauses given 1687 % 60.64/60.85 clauses generated 5719668 % 60.64/60.85 clauses kept 1922 % 60.64/60.85 clauses forward subsumed 294502 % 60.64/60.85 clauses back subsumed 265 % 60.64/60.85 Kbytes malloced 7812 % 60.64/60.85 % 60.64/60.85 ----------- times (seconds) ----------- % 60.64/60.85 user CPU time 58.64 (0 hr, 0 min, 58 sec) % 60.64/60.85 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 60.64/60.85 wall-clock time 60 (0 hr, 1 min, 0 sec) % 60.64/60.85 % 60.64/60.85 Process 6086 finished Wed Jul 27 10:09:57 2022 % 60.64/60.85 Otter interrupted % 60.64/60.85 PROOF NOT FOUND %------------------------------------------------------------------------------