%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM380+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n007.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 13:08:12 EDT 2022 % Result : Unknown 8.67s 8.87s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM380+1 : TPTP v8.1.0. Released v3.2.0. % 0.06/0.12 % Command : otter-tptp-script %s % 0.12/0.33 % Computer : n007.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 : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Jul 27 09:41:31 EDT 2022 % 0.12/0.33 % CPUTime : % 1.80/2.01 ----- Otter 3.3f, August 2004 ----- % 1.80/2.01 The process was started by sandbox2 on n007.cluster.edu, % 1.80/2.01 Wed Jul 27 09:41:31 2022 % 1.80/2.01 The command was "./otter". The process ID is 28694. % 1.80/2.01 % 1.80/2.01 set(prolog_style_variables). % 1.80/2.01 set(auto). % 1.80/2.01 dependent: set(auto1). % 1.80/2.01 dependent: set(process_input). % 1.80/2.01 dependent: clear(print_kept). % 1.80/2.01 dependent: clear(print_new_demod). % 1.80/2.01 dependent: clear(print_back_demod). % 1.80/2.01 dependent: clear(print_back_sub). % 1.80/2.01 dependent: set(control_memory). % 1.80/2.01 dependent: assign(max_mem, 12000). % 1.80/2.01 dependent: assign(pick_given_ratio, 4). % 1.80/2.01 dependent: assign(stats_level, 1). % 1.80/2.01 dependent: assign(max_seconds, 10800). % 1.80/2.01 clear(print_given). % 1.80/2.01 % 1.80/2.01 formula_list(usable). % 1.80/2.01 all A (A=A). % 1.80/2.01 all A B (in(A,B)-> -in(B,A)). % 1.80/2.01 all A (empty(A)->function(A)). % 1.80/2.01 all A (empty(A)->relation(A)). % 1.80/2.01 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)). % 1.80/2.01 all A B C D E (E=unordered_quadruple(A,B,C,D)<-> (all F (in(F,E)<-> -(F!=A&F!=B&F!=C&F!=D)))). % 1.80/2.01 all A exists B element(B,A). % 1.80/2.01 empty(empty_set). % 1.80/2.01 relation(empty_set). % 1.80/2.01 relation_empty_yielding(empty_set). % 1.80/2.01 empty(empty_set). % 1.80/2.01 empty(empty_set). % 1.80/2.01 relation(empty_set). % 1.80/2.01 exists A (relation(A)&function(A)). % 1.80/2.01 exists A (empty(A)&relation(A)). % 1.80/2.01 exists A empty(A). % 1.80/2.01 exists A (relation(A)&empty(A)&function(A)). % 1.80/2.01 exists A (-empty(A)&relation(A)). % 1.80/2.01 exists A (-empty(A)). % 1.80/2.01 exists A (relation(A)&function(A)&one_to_one(A)). % 1.80/2.01 exists A (relation(A)&relation_empty_yielding(A)). % 1.80/2.01 exists A (relation(A)&relation_empty_yielding(A)&function(A)). % 1.80/2.01 exists A (relation(A)&relation_non_empty(A)&function(A)). % 1.80/2.01 all A B (in(A,B)->element(A,B)). % 1.80/2.01 all A B (element(A,B)->empty(B)|in(A,B)). % 1.80/2.01 -(all A B C D (-(in(A,B)&in(B,C)&in(C,D)&in(D,A)))). % 1.80/2.01 all A (empty(A)->A=empty_set). % 1.80/2.01 all A B (-(in(A,B)&empty(B))). % 1.80/2.01 all A B (-(in(A,B)& (all C (-(in(C,B)& (all D (-(in(D,B)&in(D,C))))))))). % 1.80/2.01 all A B (-(empty(A)&A!=B&empty(B))). % 1.80/2.01 end_of_list. % 1.80/2.01 % 1.80/2.01 -------> usable clausifies to: % 1.80/2.01 % 1.80/2.01 list(usable). % 1.80/2.01 0 [] A=A. % 1.80/2.01 0 [] -in(A,B)| -in(B,A). % 1.80/2.01 0 [] -empty(A)|function(A). % 1.80/2.01 0 [] -empty(A)|relation(A). % 1.80/2.01 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A). % 1.80/2.01 0 [] E!=unordered_quadruple(A,B,C,D)| -in(F,E)|F=A|F=B|F=C|F=D. % 1.80/2.01 0 [] E!=unordered_quadruple(A,B,C,D)|in(F,E)|F!=A. % 1.80/2.01 0 [] E!=unordered_quadruple(A,B,C,D)|in(F,E)|F!=B. % 1.80/2.01 0 [] E!=unordered_quadruple(A,B,C,D)|in(F,E)|F!=C. % 1.80/2.01 0 [] E!=unordered_quadruple(A,B,C,D)|in(F,E)|F!=D. % 1.80/2.01 0 [] E=unordered_quadruple(A,B,C,D)|in($f1(A,B,C,D,E),E)|$f1(A,B,C,D,E)=A|$f1(A,B,C,D,E)=B|$f1(A,B,C,D,E)=C|$f1(A,B,C,D,E)=D. % 1.80/2.01 0 [] E=unordered_quadruple(A,B,C,D)| -in($f1(A,B,C,D,E),E)|$f1(A,B,C,D,E)!=A. % 1.80/2.01 0 [] E=unordered_quadruple(A,B,C,D)| -in($f1(A,B,C,D,E),E)|$f1(A,B,C,D,E)!=B. % 1.80/2.01 0 [] E=unordered_quadruple(A,B,C,D)| -in($f1(A,B,C,D,E),E)|$f1(A,B,C,D,E)!=C. % 1.80/2.01 0 [] E=unordered_quadruple(A,B,C,D)| -in($f1(A,B,C,D,E),E)|$f1(A,B,C,D,E)!=D. % 1.80/2.01 0 [] element($f2(A),A). % 1.80/2.01 0 [] empty(empty_set). % 1.80/2.01 0 [] relation(empty_set). % 1.80/2.01 0 [] relation_empty_yielding(empty_set). % 1.80/2.01 0 [] empty(empty_set). % 1.80/2.01 0 [] empty(empty_set). % 1.80/2.01 0 [] relation(empty_set). % 1.80/2.01 0 [] relation($c1). % 1.80/2.01 0 [] function($c1). % 1.80/2.01 0 [] empty($c2). % 1.80/2.01 0 [] relation($c2). % 1.80/2.01 0 [] empty($c3). % 1.80/2.01 0 [] relation($c4). % 1.80/2.01 0 [] empty($c4). % 1.80/2.01 0 [] function($c4). % 1.80/2.01 0 [] -empty($c5). % 1.80/2.01 0 [] relation($c5). % 1.80/2.01 0 [] -empty($c6). % 1.80/2.01 0 [] relation($c7). % 1.80/2.01 0 [] function($c7). % 1.80/2.01 0 [] one_to_one($c7). % 1.80/2.01 0 [] relation($c8). % 1.80/2.01 0 [] relation_empty_yielding($c8). % 1.80/2.01 0 [] relation($c9). % 1.80/2.01 0 [] relation_empty_yielding($c9). % 1.80/2.01 0 [] function($c9). % 1.80/2.01 0 [] relation($c10). % 1.80/2.01 0 [] relation_non_empty($c10). % 1.80/2.01 0 [] function($c10). % 1.80/2.01 0 [] -in(A,B)|element(A,B). % 1.80/2.01 0 [] -element(A,B)|empty(B)|in(A,B). % 1.80/2.01 0 [] in($c14,$c13). % 1.80/2.01 0 [] in($c13,$c12). % 1.80/2.01 0 [] in($c12,$c11). % 1.80/2.01 0 [] in($c11,$c14). % 1.80/2.01 0 [] -empty(A)|A=empty_set. % 1.80/2.01 0 [] -in(A,B)| -empty(B). % 1.80/2.01 0 [] -in(A,B)|in($f3(A,B),B). % 1.80/2.01 0 [] -in(A,B)| -in(D,B)| -in(D,$f3(A,B)). % 1.80/2.01 0 [] -empty(A)|A=B| -empty(B). % 1.80/2.01 end_of_list. % 1.80/2.01 % 1.80/2.01 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6. % 1.80/2.01 % 1.80/2.01 This ia a non-Horn set with equality. The strategy will be % 1.80/2.01 Knuth-Bendix, ordered hyper_res, factoring, and unit % 1.80/2.01 deletion, with positive clauses in sos and nonpositive % 1.80/2.01 clauses in usable. % 1.80/2.01 % 1.80/2.01 dependent: set(knuth_bendix). % 1.80/2.01 dependent: set(anl_eq). % 1.80/2.01 dependent: set(para_from). % 1.80/2.01 dependent: set(para_into). % 1.80/2.01 dependent: clear(para_from_right). % 8.67/8.87 dependent: clear(para_into_right). % 8.67/8.87 dependent: set(para_from_vars). % 8.67/8.87 dependent: set(eq_units_both_ways). % 8.67/8.87 dependent: set(dynamic_demod_all). % 8.67/8.87 dependent: set(dynamic_demod). % 8.67/8.87 dependent: set(order_eq). % 8.67/8.87 dependent: set(back_demod). % 8.67/8.87 dependent: set(lrpo). % 8.67/8.87 dependent: set(hyper_res). % 8.67/8.87 dependent: set(unit_deletion). % 8.67/8.87 dependent: set(factor). % 8.67/8.87 % 8.67/8.87 ------------> process usable: % 8.67/8.87 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A). % 8.67/8.87 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A). % 8.67/8.87 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A). % 8.67/8.87 ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A). % 8.67/8.87 ** KEPT (pick-wt=22): 5 [] A!=unordered_quadruple(B,C,D,E)| -in(F,A)|F=B|F=C|F=D|F=E. % 8.67/8.87 ** KEPT (pick-wt=13): 6 [] A!=unordered_quadruple(B,C,D,E)|in(F,A)|F!=B. % 8.67/8.87 ** KEPT (pick-wt=13): 7 [] A!=unordered_quadruple(B,C,D,E)|in(F,A)|F!=C. % 8.67/8.87 ** KEPT (pick-wt=13): 8 [] A!=unordered_quadruple(B,C,D,E)|in(F,A)|F!=D. % 8.67/8.87 ** KEPT (pick-wt=13): 9 [] A!=unordered_quadruple(B,C,D,E)|in(F,A)|F!=E. % 8.67/8.87 ** KEPT (pick-wt=23): 10 [] A=unordered_quadruple(B,C,D,E)| -in($f1(B,C,D,E,A),A)|$f1(B,C,D,E,A)!=B. % 8.67/8.87 ** KEPT (pick-wt=23): 11 [] A=unordered_quadruple(B,C,D,E)| -in($f1(B,C,D,E,A),A)|$f1(B,C,D,E,A)!=C. % 8.67/8.87 ** KEPT (pick-wt=23): 12 [] A=unordered_quadruple(B,C,D,E)| -in($f1(B,C,D,E,A),A)|$f1(B,C,D,E,A)!=D. % 8.67/8.87 ** KEPT (pick-wt=23): 13 [] A=unordered_quadruple(B,C,D,E)| -in($f1(B,C,D,E,A),A)|$f1(B,C,D,E,A)!=E. % 8.67/8.87 ** KEPT (pick-wt=2): 14 [] -empty($c5). % 8.67/8.87 ** KEPT (pick-wt=2): 15 [] -empty($c6). % 8.67/8.87 ** KEPT (pick-wt=6): 16 [] -in(A,B)|element(A,B). % 8.67/8.87 ** KEPT (pick-wt=8): 17 [] -element(A,B)|empty(B)|in(A,B). % 8.67/8.87 ** KEPT (pick-wt=5): 18 [] -empty(A)|A=empty_set. % 8.67/8.87 ** KEPT (pick-wt=5): 19 [] -in(A,B)| -empty(B). % 8.67/8.87 ** KEPT (pick-wt=8): 20 [] -in(A,B)|in($f3(A,B),B). % 8.67/8.87 ** KEPT (pick-wt=11): 21 [] -in(A,B)| -in(C,B)| -in(C,$f3(A,B)). % 8.67/8.87 ** KEPT (pick-wt=7): 22 [] -empty(A)|A=B| -empty(B). % 8.67/8.87 % 8.67/8.87 ------------> process sos: % 8.67/8.87 ** KEPT (pick-wt=3): 40 [] A=A. % 8.67/8.87 ** KEPT (pick-wt=47): 41 [] A=unordered_quadruple(B,C,D,E)|in($f1(B,C,D,E,A),A)|$f1(B,C,D,E,A)=B|$f1(B,C,D,E,A)=C|$f1(B,C,D,E,A)=D|$f1(B,C,D,E,A)=E. % 8.67/8.87 ** KEPT (pick-wt=4): 42 [] element($f2(A),A). % 8.67/8.87 ** KEPT (pick-wt=2): 43 [] empty(empty_set). % 8.67/8.87 ** KEPT (pick-wt=2): 44 [] relation(empty_set). % 8.67/8.87 ** KEPT (pick-wt=2): 45 [] relation_empty_yielding(empty_set). % 8.67/8.87 Following clause subsumed by 43 during input processing: 0 [] empty(empty_set). % 8.67/8.87 Following clause subsumed by 43 during input processing: 0 [] empty(empty_set). % 8.67/8.87 Following clause subsumed by 44 during input processing: 0 [] relation(empty_set). % 8.67/8.87 ** KEPT (pick-wt=2): 46 [] relation($c1). % 8.67/8.87 ** KEPT (pick-wt=2): 47 [] function($c1). % 8.67/8.87 ** KEPT (pick-wt=2): 48 [] empty($c2). % 8.67/8.87 ** KEPT (pick-wt=2): 49 [] relation($c2). % 8.67/8.87 ** KEPT (pick-wt=2): 50 [] empty($c3). % 8.67/8.87 ** KEPT (pick-wt=2): 51 [] relation($c4). % 8.67/8.87 ** KEPT (pick-wt=2): 52 [] empty($c4). % 8.67/8.87 ** KEPT (pick-wt=2): 53 [] function($c4). % 8.67/8.87 ** KEPT (pick-wt=2): 54 [] relation($c5). % 8.67/8.87 ** KEPT (pick-wt=2): 55 [] relation($c7). % 8.67/8.87 ** KEPT (pick-wt=2): 56 [] function($c7). % 8.67/8.87 ** KEPT (pick-wt=2): 57 [] one_to_one($c7). % 8.67/8.87 ** KEPT (pick-wt=2): 58 [] relation($c8). % 8.67/8.87 ** KEPT (pick-wt=2): 59 [] relation_empty_yielding($c8). % 8.67/8.87 ** KEPT (pick-wt=2): 60 [] relation($c9). % 8.67/8.87 ** KEPT (pick-wt=2): 61 [] relation_empty_yielding($c9). % 8.67/8.87 ** KEPT (pick-wt=2): 62 [] function($c9). % 8.67/8.87 ** KEPT (pick-wt=2): 63 [] relation($c10). % 8.67/8.87 ** KEPT (pick-wt=2): 64 [] relation_non_empty($c10). % 8.67/8.87 ** KEPT (pick-wt=2): 65 [] function($c10). % 8.67/8.87 ** KEPT (pick-wt=3): 66 [] in($c14,$c13). % 8.67/8.87 ** KEPT (pick-wt=3): 67 [] in($c13,$c12). % 8.67/8.87 ** KEPT (pick-wt=3): 68 [] in($c12,$c11). % 8.67/8.87 ** KEPT (pick-wt=3): 69 [] in($c11,$c14). % 8.67/8.87 Following clause subsumed by 40 during input processing: 0 [copy,40,flip.1] A=A. % 8.67/8.87 40 back subsumes 31. % 8.67/8.87 % 8.67/8.87 ======= end of input processing ======= % 8.67/8.87 % 8.67/8.87 =========== start of search =========== % 8.67/8.87 % 8.67/8.87 Search stopped in tp_alloc by max_mem option. % 8.67/8.87 % 8.67/8.87 Search stopped in tp_alloc by max_mem option. % 8.67/8.87 % 8.67/8.87 ============ end of search ============ % 8.67/8.87 % 8.67/8.87 -------------- statistics ------------- % 8.67/8.87 clauses given 6 % 8.67/8.87 clauses generated 31146 % 8.67/8.87 clauses kept 6121 % 8.67/8.87 clauses forward subsumed 25079 % 8.67/8.87 clauses back subsumed 1 % 8.67/8.87 Kbytes malloced 11718 % 8.67/8.87 % 8.67/8.87 ----------- times (seconds) ----------- % 8.67/8.87 user CPU time 6.86 (0 hr, 0 min, 6 sec) % 8.67/8.87 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 8.67/8.87 wall-clock time 8 (0 hr, 0 min, 8 sec) % 8.67/8.87 % 8.67/8.87 Process 28694 finished Wed Jul 27 09:41:39 2022 % 8.67/8.87 Otter interrupted % 8.67/8.87 PROOF NOT FOUND %------------------------------------------------------------------------------