%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM005-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % 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 : Wed Jul 27 13:07:25 EDT 2022 % Result : Unknown 16.03s 16.26s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM005-1 : TPTP v8.1.0. Released v1.0.0. % 0.12/0.13 % Command : otter-tptp-script %s % 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 : Wed Jul 27 09:53:38 EDT 2022 % 0.13/0.34 % CPUTime : % 1.80/1.99 ----- Otter 3.3f, August 2004 ----- % 1.80/1.99 The process was started by sandbox on n021.cluster.edu, % 1.80/1.99 Wed Jul 27 09:53:38 2022 % 1.80/1.99 The command was "./otter". The process ID is 28256. % 1.80/1.99 % 1.80/1.99 set(prolog_style_variables). % 1.80/1.99 set(auto). % 1.80/1.99 dependent: set(auto1). % 1.80/1.99 dependent: set(process_input). % 1.80/1.99 dependent: clear(print_kept). % 1.80/1.99 dependent: clear(print_new_demod). % 1.80/1.99 dependent: clear(print_back_demod). % 1.80/1.99 dependent: clear(print_back_sub). % 1.80/1.99 dependent: set(control_memory). % 1.80/1.99 dependent: assign(max_mem, 12000). % 1.80/1.99 dependent: assign(pick_given_ratio, 4). % 1.80/1.99 dependent: assign(stats_level, 1). % 1.80/1.99 dependent: assign(max_seconds, 10800). % 1.80/1.99 clear(print_given). % 1.80/1.99 % 1.80/1.99 list(usable). % 1.80/1.99 0 [] A=A. % 1.80/1.99 0 [] divides(X,X). % 1.80/1.99 0 [] divides(X,Z)| -divides(X,Y)| -divides(Y,Z). % 1.80/1.99 0 [] divides(X,multiply(X,Y)). % 1.80/1.99 0 [] divides(multiply(X,Y),multiply(X,Z))| -divides(Y,Z). % 1.80/1.99 0 [] divides(quotient(X,X),Y). % 1.80/1.99 0 [] divides(X,multiply(Y,Z))| -divides(Y,X)| -divides(quotient(X,Y),Z). % 1.80/1.99 0 [] divides(X,quotient(Y,Z))| -divides(Z,Y)| -divides(multiply(X,Z),Y). % 1.80/1.99 0 [] divides(quotient(X,Y),Z)| -divides(Y,X)| -divides(X,multiply(Y,Z)). % 1.80/1.99 0 [] divides(U,Y)| -gcd(X,Y,U). % 1.80/1.99 0 [] divides(U,X)| -gcd(X,Y,U). % 1.80/1.99 0 [] divides(k(Y,X),X). % 1.80/1.99 0 [] divides(k(Y,X),Y). % 1.80/1.99 0 [] divides(V,k(Y,X))| -divides(V,X)| -divides(V,Y). % 1.80/1.99 0 [] divides(V,U)| -divides(V,X)| -divides(V,Y)| -gcd(X,Y,U). % 1.80/1.99 0 [] gcd(X,Y,U)| -divides(U,X)| -divides(U,Y)|divides(h(Y,X,U),X). % 1.80/1.99 0 [] gcd(X,Y,U)| -divides(U,X)| -divides(U,Y)|divides(h(Y,X,U),Y). % 1.80/1.99 0 [] gcd(X,Y,U)| -divides(U,X)| -divides(U,Y)| -divides(h(Y,X,U),U). % 1.80/1.99 0 [] h(X,Y,Z)=h(Y,X,Z). % 1.80/1.99 0 [] k(X,Y)=k(Y,X). % 1.80/1.99 0 [] multiply(X,Y)=multiply(Y,X). % 1.80/1.99 0 [] -gcd(X,Y,Z)|gcd(Y,X,Z). % 1.80/1.99 0 [] gcd(a,b,e). % 1.80/1.99 0 [] -gcd(multiply(a,c),multiply(b,c),multiply(e,c)). % 1.80/1.99 end_of_list. % 1.80/1.99 % 1.80/1.99 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4. % 1.80/1.99 % 1.80/1.99 This ia a non-Horn set with equality. The strategy will be % 1.80/1.99 Knuth-Bendix, ordered hyper_res, factoring, and unit % 1.80/1.99 deletion, with positive clauses in sos and nonpositive % 1.80/1.99 clauses in usable. % 1.80/1.99 % 1.80/1.99 dependent: set(knuth_bendix). % 1.80/1.99 dependent: set(anl_eq). % 1.80/1.99 dependent: set(para_from). % 1.80/1.99 dependent: set(para_into). % 1.80/1.99 dependent: clear(para_from_right). % 1.80/1.99 dependent: clear(para_into_right). % 1.80/1.99 dependent: set(para_from_vars). % 1.80/1.99 dependent: set(eq_units_both_ways). % 1.80/1.99 dependent: set(dynamic_demod_all). % 1.80/1.99 dependent: set(dynamic_demod). % 1.80/1.99 dependent: set(order_eq). % 1.80/1.99 dependent: set(back_demod). % 1.80/1.99 dependent: set(lrpo). % 1.80/1.99 dependent: set(hyper_res). % 1.80/1.99 dependent: set(unit_deletion). % 1.80/1.99 dependent: set(factor). % 1.80/1.99 % 1.80/1.99 ------------> process usable: % 1.80/1.99 ** KEPT (pick-wt=9): 1 [] divides(A,B)| -divides(A,C)| -divides(C,B). % 1.80/1.99 ** KEPT (pick-wt=10): 2 [] divides(multiply(A,B),multiply(A,C))| -divides(B,C). % 1.80/1.99 ** KEPT (pick-wt=13): 3 [] divides(A,multiply(B,C))| -divides(B,A)| -divides(quotient(A,B),C). % 1.80/1.99 ** KEPT (pick-wt=13): 4 [] divides(A,quotient(B,C))| -divides(C,B)| -divides(multiply(A,C),B). % 1.80/1.99 ** KEPT (pick-wt=13): 5 [] divides(quotient(A,B),C)| -divides(B,A)| -divides(A,multiply(B,C)). % 1.80/1.99 ** KEPT (pick-wt=7): 6 [] divides(A,B)| -gcd(C,B,A). % 1.80/1.99 ** KEPT (pick-wt=7): 7 [] divides(A,B)| -gcd(B,C,A). % 1.80/1.99 ** KEPT (pick-wt=11): 8 [] divides(A,k(B,C))| -divides(A,C)| -divides(A,B). % 1.80/1.99 ** KEPT (pick-wt=13): 9 [] divides(A,B)| -divides(A,C)| -divides(A,D)| -gcd(C,D,B). % 1.80/1.99 ** KEPT (pick-wt=16): 10 [] gcd(A,B,C)| -divides(C,A)| -divides(C,B)|divides(h(B,A,C),A). % 1.80/1.99 ** KEPT (pick-wt=16): 11 [] gcd(A,B,C)| -divides(C,A)| -divides(C,B)|divides(h(B,A,C),B). % 1.80/1.99 ** KEPT (pick-wt=16): 12 [] gcd(A,B,C)| -divides(C,A)| -divides(C,B)| -divides(h(B,A,C),C). % 1.80/1.99 ** KEPT (pick-wt=8): 13 [] -gcd(A,B,C)|gcd(B,A,C). % 1.80/1.99 ** KEPT (pick-wt=10): 14 [] -gcd(multiply(a,c),multiply(b,c),multiply(e,c)). % 1.80/1.99 % 1.80/1.99 ------------> process sos: % 1.80/1.99 ** KEPT (pick-wt=3): 19 [] A=A. % 1.80/1.99 ** KEPT (pick-wt=3): 20 [] divides(A,A). % 1.80/1.99 ** KEPT (pick-wt=5): 21 [] divides(A,multiply(A,B)). % 1.80/1.99 ** KEPT (pick-wt=5): 22 [] divides(quotient(A,A),B). % 1.80/1.99 ** KEPT (pick-wt=5): 23 [] divides(k(A,B),B). % 1.80/1.99 ** KEPT (pick-wt=5): 24 [] divides(k(A,B),A). % 1.80/1.99 ** KEPT (pick-wt=9): 25 [] h(A,B,C)=h(B,A,C). % 1.80/1.99 ** KEPT (pick-wt=7): 26 [] k(A,B)=k(B,A). % 1.80/1.99 ** KEPT (pick-wt=7): 27 [] multiply(A,B)=multiply(B,A). % 1.80/1.99 ** KEPT (pick-wt=4): 28 [] gcd(a,b,e). % 1.80/1.99 Following clause subsumed by 19 during input processing: 0 [copy,19,flip.1] A=A. % 16.03/16.26 Following clause subsumed by 25 during input processing: 0 [copy,25,flip.1] h(A,B,C)=h(B,A,C). % 16.03/16.26 Following clause subsumed by 26 during input processing: 0 [copy,26,flip.1] k(A,B)=k(B,A). % 16.03/16.26 Following clause subsumed by 27 during input processing: 0 [copy,27,flip.1] multiply(A,B)=multiply(B,A). % 16.03/16.26 % 16.03/16.26 ======= end of input processing ======= % 16.03/16.26 % 16.03/16.26 =========== start of search =========== % 16.03/16.26 % 16.03/16.26 % 16.03/16.26 Resetting weight limit to 7. % 16.03/16.26 % 16.03/16.26 % 16.03/16.26 Resetting weight limit to 7. % 16.03/16.26 % 16.03/16.26 sos_size=1571 % 16.03/16.26 % 16.03/16.26 Search stopped because sos empty. % 16.03/16.26 % 16.03/16.26 % 16.03/16.26 Search stopped because sos empty. % 16.03/16.26 % 16.03/16.26 ============ end of search ============ % 16.03/16.26 % 16.03/16.26 -------------- statistics ------------- % 16.03/16.26 clauses given 1616 % 16.03/16.26 clauses generated 2100281 % 16.03/16.26 clauses kept 1767 % 16.03/16.26 clauses forward subsumed 35525 % 16.03/16.26 clauses back subsumed 151 % 16.03/16.26 Kbytes malloced 6835 % 16.03/16.26 % 16.03/16.26 ----------- times (seconds) ----------- % 16.03/16.26 user CPU time 14.27 (0 hr, 0 min, 14 sec) % 16.03/16.26 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 16.03/16.26 wall-clock time 16 (0 hr, 0 min, 16 sec) % 16.03/16.26 % 16.03/16.26 Process 28256 finished Wed Jul 27 09:53:54 2022 % 16.03/16.26 Otter interrupted % 16.03/16.26 PROOF NOT FOUND %------------------------------------------------------------------------------