%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM385+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n017.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 13:08:13 EDT 2022 % Result : Timeout 299.86s 300.04s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : NUM385+1 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : otter-tptp-script %s % 0.12/0.33 % Computer : n017.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 08:54:18 EDT 2022 % 0.12/0.33 % CPUTime : % 1.83/2.03 ----- Otter 3.3f, August 2004 ----- % 1.83/2.03 The process was started by sandbox2 on n017.cluster.edu, % 1.83/2.03 Wed Jul 27 08:54:18 2022 % 1.83/2.03 The command was "./otter". The process ID is 3635. % 1.83/2.03 % 1.83/2.03 set(prolog_style_variables). % 1.83/2.03 set(auto). % 1.83/2.03 dependent: set(auto1). % 1.83/2.03 dependent: set(process_input). % 1.83/2.03 dependent: clear(print_kept). % 1.83/2.03 dependent: clear(print_new_demod). % 1.83/2.03 dependent: clear(print_back_demod). % 1.83/2.03 dependent: clear(print_back_sub). % 1.83/2.03 dependent: set(control_memory). % 1.83/2.03 dependent: assign(max_mem, 12000). % 1.83/2.03 dependent: assign(pick_given_ratio, 4). % 1.83/2.03 dependent: assign(stats_level, 1). % 1.83/2.03 dependent: assign(max_seconds, 10800). % 1.83/2.03 clear(print_given). % 1.83/2.03 % 1.83/2.03 formula_list(usable). % 1.83/2.03 all A (A=A). % 1.83/2.03 all A B (in(A,B)-> -in(B,A)). % 1.83/2.03 all A (empty(A)->function(A)). % 1.83/2.03 all A (empty(A)->relation(A)). % 1.83/2.03 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)). % 1.83/2.03 all A B (set_union2(A,B)=set_union2(B,A)). % 1.83/2.03 all A (succ(A)=set_union2(A,singleton(A))). % 1.83/2.03 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))). % 1.83/2.03 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))). % 1.83/2.03 all A exists B element(B,A). % 1.83/2.03 empty(empty_set). % 1.83/2.03 relation(empty_set). % 1.83/2.03 relation_empty_yielding(empty_set). % 1.83/2.03 all A (-empty(succ(A))). % 1.83/2.03 empty(empty_set). % 1.83/2.03 all A B (relation(A)&relation(B)->relation(set_union2(A,B))). % 1.83/2.03 all A B (-empty(A)-> -empty(set_union2(A,B))). % 1.83/2.03 all A B (-empty(A)-> -empty(set_union2(B,A))). % 1.83/2.03 empty(empty_set). % 1.83/2.03 relation(empty_set). % 1.83/2.03 all A B (set_union2(A,A)=A). % 1.83/2.03 exists A (relation(A)&function(A)). % 1.83/2.03 exists A (empty(A)&relation(A)). % 1.83/2.03 exists A empty(A). % 1.83/2.03 exists A (relation(A)&empty(A)&function(A)). % 1.83/2.03 exists A (-empty(A)&relation(A)). % 1.83/2.03 exists A (-empty(A)). % 1.83/2.03 exists A (relation(A)&function(A)&one_to_one(A)). % 1.83/2.03 exists A (relation(A)&relation_empty_yielding(A)). % 1.83/2.03 exists A (relation(A)&relation_empty_yielding(A)&function(A)). % 1.83/2.03 exists A (relation(A)&relation_non_empty(A)&function(A)). % 1.83/2.03 all A in(A,succ(A)). % 1.83/2.03 -(all A B (succ(A)=succ(B)->A=B)). % 1.83/2.03 all A (set_union2(A,empty_set)=A). % 1.83/2.03 all A B (in(A,B)->element(A,B)). % 1.83/2.03 all A B (element(A,B)->empty(B)|in(A,B)). % 1.83/2.03 all A (empty(A)->A=empty_set). % 1.83/2.03 all A B (-(in(A,B)&empty(B))). % 1.83/2.03 all A B (-(empty(A)&A!=B&empty(B))). % 1.83/2.03 end_of_list. % 1.83/2.03 % 1.83/2.03 -------> usable clausifies to: % 1.83/2.03 % 1.83/2.03 list(usable). % 1.83/2.03 0 [] A=A. % 1.83/2.03 0 [] -in(A,B)| -in(B,A). % 1.83/2.03 0 [] -empty(A)|function(A). % 1.83/2.03 0 [] -empty(A)|relation(A). % 1.83/2.03 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A). % 1.83/2.03 0 [] set_union2(A,B)=set_union2(B,A). % 1.83/2.03 0 [] succ(A)=set_union2(A,singleton(A)). % 1.83/2.03 0 [] B!=singleton(A)| -in(C,B)|C=A. % 1.83/2.03 0 [] B!=singleton(A)|in(C,B)|C!=A. % 1.83/2.03 0 [] B=singleton(A)|in($f1(A,B),B)|$f1(A,B)=A. % 1.83/2.03 0 [] B=singleton(A)| -in($f1(A,B),B)|$f1(A,B)!=A. % 1.83/2.03 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B). % 1.83/2.03 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A). % 1.83/2.03 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B). % 1.83/2.03 0 [] C=set_union2(A,B)|in($f2(A,B,C),C)|in($f2(A,B,C),A)|in($f2(A,B,C),B). % 1.83/2.03 0 [] C=set_union2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),A). % 1.83/2.03 0 [] C=set_union2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),B). % 1.83/2.03 0 [] element($f3(A),A). % 1.83/2.03 0 [] empty(empty_set). % 1.83/2.03 0 [] relation(empty_set). % 1.83/2.03 0 [] relation_empty_yielding(empty_set). % 1.83/2.03 0 [] -empty(succ(A)). % 1.83/2.03 0 [] empty(empty_set). % 1.83/2.03 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)). % 1.83/2.03 0 [] empty(A)| -empty(set_union2(A,B)). % 1.83/2.03 0 [] empty(A)| -empty(set_union2(B,A)). % 1.83/2.03 0 [] empty(empty_set). % 1.83/2.03 0 [] relation(empty_set). % 1.83/2.03 0 [] set_union2(A,A)=A. % 1.83/2.03 0 [] relation($c1). % 1.83/2.03 0 [] function($c1). % 1.83/2.03 0 [] empty($c2). % 1.83/2.03 0 [] relation($c2). % 1.83/2.03 0 [] empty($c3). % 1.83/2.03 0 [] relation($c4). % 1.83/2.03 0 [] empty($c4). % 1.83/2.03 0 [] function($c4). % 1.83/2.03 0 [] -empty($c5). % 1.83/2.03 0 [] relation($c5). % 1.83/2.03 0 [] -empty($c6). % 1.83/2.03 0 [] relation($c7). % 1.83/2.03 0 [] function($c7). % 1.83/2.03 0 [] one_to_one($c7). % 1.83/2.03 0 [] relation($c8). % 1.83/2.03 0 [] relation_empty_yielding($c8). % 1.83/2.03 0 [] relation($c9). % 1.83/2.03 0 [] relation_empty_yielding($c9). % 1.83/2.03 0 [] function($c9). % 1.83/2.03 0 [] relation($c10). % 1.83/2.03 0 [] relation_non_empty($c10). % 1.83/2.03 0 [] function($c10). % 1.83/2.03 0 [] in(A,succ(A)). % 1.83/2.03 0 [] succ($c12)=succ($c11). % 1.83/2.03 0 [] $c12!=$c11. % 1.83/2.03 0 [] set_union2(A,empty_set)=A. % 1.83/2.03 0 [] -in(A,B)|element(A,B). % 1.83/2.03 0 [] -element(A,B)|empty(B)|in(A,B). % 1.83/2.03 0 [] -empty(A)|A=empty_set. % 1.83/2.03 0 [] -in(A,B)| -empty(B). % 1.83/2.03 0 [] -empty(A)|A=B| -empty(B). % 1.83/2.03 end_of_list. % 1.83/2.03 % 1.83/2.03 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4. % 1.83/2.03 % 1.83/2.03 This ia a non-Horn set with equality. The strategy will be % 1.83/2.03 Knuth-Bendix, ordered hyper_res, factoring, and unit % 1.83/2.03 deletion, with positive clauses in sos and nonpositive % 1.83/2.03 clauses in usable. % 1.83/2.03 % 1.83/2.03 dependent: set(knuth_bendix). % 1.83/2.03 dependent: set(anl_eq). % 1.83/2.03 dependent: set(para_from). % 1.83/2.03 dependent: set(para_into). % 1.83/2.03 dependent: clear(para_from_right). % 1.83/2.03 dependent: clear(para_into_right). % 1.83/2.03 dependent: set(para_from_vars). % 1.83/2.03 dependent: set(eq_units_both_ways). % 1.83/2.03 dependent: set(dynamic_demod_all). % 1.83/2.03 dependent: set(dynamic_demod). % 1.83/2.03 dependent: set(order_eq). % 1.83/2.03 dependent: set(back_demod). % 1.83/2.03 dependent: set(lrpo). % 1.83/2.03 dependent: set(hyper_res). % 1.83/2.03 dependent: set(unit_deletion). % 1.83/2.03 dependent: set(factor). % 1.83/2.03 % 1.83/2.03 ------------> process usable: % 1.83/2.03 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A). % 1.83/2.03 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A). % 1.83/2.03 ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A). % 1.83/2.03 ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A). % 1.83/2.03 ** KEPT (pick-wt=10): 5 [] A!=singleton(B)| -in(C,A)|C=B. % 1.83/2.03 ** KEPT (pick-wt=10): 6 [] A!=singleton(B)|in(C,A)|C!=B. % 1.83/2.03 ** KEPT (pick-wt=14): 7 [] A=singleton(B)| -in($f1(B,A),A)|$f1(B,A)!=B. % 1.83/2.03 ** KEPT (pick-wt=14): 8 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C). % 1.83/2.03 ** KEPT (pick-wt=11): 9 [] A!=set_union2(B,C)|in(D,A)| -in(D,B). % 1.83/2.03 ** KEPT (pick-wt=11): 10 [] A!=set_union2(B,C)|in(D,A)| -in(D,C). % 1.83/2.03 ** KEPT (pick-wt=17): 11 [] A=set_union2(B,C)| -in($f2(B,C,A),A)| -in($f2(B,C,A),B). % 1.83/2.03 ** KEPT (pick-wt=17): 12 [] A=set_union2(B,C)| -in($f2(B,C,A),A)| -in($f2(B,C,A),C). % 1.83/2.03 ** KEPT (pick-wt=3): 13 [] -empty(succ(A)). % 1.83/2.03 ** KEPT (pick-wt=8): 14 [] -relation(A)| -relation(B)|relation(set_union2(A,B)). % 1.83/2.03 ** KEPT (pick-wt=6): 15 [] empty(A)| -empty(set_union2(A,B)). % 1.83/2.03 ** KEPT (pick-wt=6): 16 [] empty(A)| -empty(set_union2(B,A)). % 1.83/2.03 ** KEPT (pick-wt=2): 17 [] -empty($c5). % 1.83/2.03 ** KEPT (pick-wt=2): 18 [] -empty($c6). % 1.83/2.03 ** KEPT (pick-wt=3): 19 [] $c12!=$c11. % 1.83/2.03 ** KEPT (pick-wt=6): 20 [] -in(A,B)|element(A,B). % 1.83/2.03 ** KEPT (pick-wt=8): 21 [] -element(A,B)|empty(B)|in(A,B). % 1.83/2.03 ** KEPT (pick-wt=5): 22 [] -empty(A)|A=empty_set. % 1.83/2.03 ** KEPT (pick-wt=5): 23 [] -in(A,B)| -empty(B). % 1.83/2.03 ** KEPT (pick-wt=7): 24 [] -empty(A)|A=B| -empty(B). % 1.83/2.03 % 1.83/2.03 ------------> process sos: % 1.83/2.03 ** KEPT (pick-wt=3): 31 [] A=A. % 1.83/2.03 ** KEPT (pick-wt=7): 32 [] set_union2(A,B)=set_union2(B,A). % 1.83/2.03 ** KEPT (pick-wt=7): 33 [] succ(A)=set_union2(A,singleton(A)). % 1.83/2.03 ---> New Demodulator: 34 [new_demod,33] succ(A)=set_union2(A,singleton(A)). % 1.83/2.03 ** KEPT (pick-wt=14): 35 [] A=singleton(B)|in($f1(B,A),A)|$f1(B,A)=B. % 1.83/2.03 ** KEPT (pick-wt=23): 36 [] A=set_union2(B,C)|in($f2(B,C,A),A)|in($f2(B,C,A),B)|in($f2(B,C,A),C). % 1.83/2.03 ** KEPT (pick-wt=4): 37 [] element($f3(A),A). % 1.83/2.03 ** KEPT (pick-wt=2): 38 [] empty(empty_set). % 1.83/2.03 ** KEPT (pick-wt=2): 39 [] relation(empty_set). % 1.83/2.03 ** KEPT (pick-wt=2): 40 [] relation_empty_yielding(empty_set). % 1.83/2.03 Following clause subsumed by 38 during input processing: 0 [] empty(empty_set). % 1.83/2.03 Following clause subsumed by 38 during input processing: 0 [] empty(empty_set). % 1.83/2.03 Following clause subsumed by 39 during input processing: 0 [] relation(empty_set). % 1.83/2.03 ** KEPT (pick-wt=5): 41 [] set_union2(A,A)=A. % 1.83/2.03 ---> New Demodulator: 42 [new_demod,41] set_union2(A,A)=A. % 1.83/2.03 ** KEPT (pick-wt=2): 43 [] relation($c1). % 1.83/2.03 ** KEPT (pick-wt=2): 44 [] function($c1). % 1.83/2.03 ** KEPT (pick-wt=2): 45 [] empty($c2). % 1.83/2.03 ** KEPT (pick-wt=2): 46 [] relation($c2). % 1.83/2.03 ** KEPT (pick-wt=2): 47 [] empty($c3). % 1.83/2.03 ** KEPT (pick-wt=2): 48 [] relation($c4). % 1.83/2.03 ** KEPT (pick-wt=2): 49 [] empty($c4). % 1.83/2.03 ** KEPT (pick-wt=2): 50 [] function($c4). % 1.83/2.03 ** KEPT (pick-wt=2): 51 [] relation($c5). % 1.83/2.03 ** KEPT (pick-wt=2): 52 [] relation($c7). % 1.83/2.03 ** KEPT (pick-wt=2): 53 [] function($c7). % 1.83/2.03 ** KEPT (pick-wt=2): 54 [] one_to_one($c7). % 1.83/2.03 ** KEPT (pick-wt=2): 55 [] relation($c8). % 1.83/2.03 ** KEPT (pick-wt=2): 56 [] relation_empty_yielding($c8). % 1.83/2.03 ** KEPT (pick-wt=2): 57 [] relation($c9). % 1.83/2.03 ** KEPT (pick-wt=2): 58 [] relation_empty_yielding($c9). % 1.83/2.03 ** KEPT (pick-wt=2): 59 [] function($c9). % 1.83/2.03 ** KEPT (pick-wt=2): 60 [] relation($c10). % 1.83/2.03 ** KEPT (pick-wt=2): 61 [] relation_non_empty($c10). % 1.83/2.03 ** KEPT (pick-wt=2): 62 [] function($c10). % 1.83/2.03 ** KEPT (pick-wt=6): 64 [copy,63,demod,34] in(A,set_union2(A,singleton(A))). % 1.83/2.03 ** KEPT (pick-wt=9): 66 [copy,65,demod,34,34] Alarm clock % 299.86/300.04 Otter interrupted % 299.86/300.04 PROOF NOT FOUND %------------------------------------------------------------------------------