TSTP Solution File: ALG210+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG210+1 : TPTP v8.1.0. Released v3.1.0.
% 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 12:46:18 EDT 2022
% Result : Unknown 107.90s 108.12s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG210+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % 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 03:59:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 107.90/108.12 ----- Otter 3.3f, August 2004 -----
% 107.90/108.12 The process was started by sandbox2 on n015.cluster.edu,
% 107.90/108.12 Wed Jul 27 03:59:56 2022
% 107.90/108.12 The command was "./otter". The process ID is 6681.
% 107.90/108.12
% 107.90/108.12 set(prolog_style_variables).
% 107.90/108.12 set(auto).
% 107.90/108.12 dependent: set(auto1).
% 107.90/108.12 dependent: set(process_input).
% 107.90/108.12 dependent: clear(print_kept).
% 107.90/108.12 dependent: clear(print_new_demod).
% 107.90/108.12 dependent: clear(print_back_demod).
% 107.90/108.12 dependent: clear(print_back_sub).
% 107.90/108.12 dependent: set(control_memory).
% 107.90/108.12 dependent: assign(max_mem, 12000).
% 107.90/108.12 dependent: assign(pick_given_ratio, 4).
% 107.90/108.12 dependent: assign(stats_level, 1).
% 107.90/108.12 dependent: assign(max_seconds, 10800).
% 107.90/108.12 clear(print_given).
% 107.90/108.12
% 107.90/108.12 formula_list(usable).
% 107.90/108.12 all A (A=A).
% 107.90/108.12 all A B C (times(times(A,B),C)=times(B,times(C,A))).
% 107.90/108.12 all B (element(B)<-> (exists C (times(B,C)=B×(B,B)=C))).
% 107.90/108.12 -(all A B (element(A)&element(B)->element(times(A,B)))).
% 107.90/108.12 end_of_list.
% 107.90/108.12
% 107.90/108.12 -------> usable clausifies to:
% 107.90/108.12
% 107.90/108.12 list(usable).
% 107.90/108.12 0 [] A=A.
% 107.90/108.12 0 [] times(times(A,B),C)=times(B,times(C,A)).
% 107.90/108.12 0 [] -element(B)|times(B,$f1(B))=B.
% 107.90/108.12 0 [] -element(B)|times(B,B)=$f1(B).
% 107.90/108.12 0 [] element(B)|times(B,C)!=B|times(B,B)!=C.
% 107.90/108.12 0 [] element($c2).
% 107.90/108.12 0 [] element($c1).
% 107.90/108.12 0 [] -element(times($c2,$c1)).
% 107.90/108.12 end_of_list.
% 107.90/108.12
% 107.90/108.12 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 107.90/108.12
% 107.90/108.12 This is a Horn set with equality. The strategy will be
% 107.90/108.12 Knuth-Bendix and hyper_res, with positive clauses in
% 107.90/108.12 sos and nonpositive clauses in usable.
% 107.90/108.12
% 107.90/108.12 dependent: set(knuth_bendix).
% 107.90/108.12 dependent: set(anl_eq).
% 107.90/108.12 dependent: set(para_from).
% 107.90/108.12 dependent: set(para_into).
% 107.90/108.12 dependent: clear(para_from_right).
% 107.90/108.12 dependent: clear(para_into_right).
% 107.90/108.12 dependent: set(para_from_vars).
% 107.90/108.12 dependent: set(eq_units_both_ways).
% 107.90/108.12 dependent: set(dynamic_demod_all).
% 107.90/108.12 dependent: set(dynamic_demod).
% 107.90/108.12 dependent: set(order_eq).
% 107.90/108.12 dependent: set(back_demod).
% 107.90/108.12 dependent: set(lrpo).
% 107.90/108.12 dependent: set(hyper_res).
% 107.90/108.12 dependent: clear(order_hyper).
% 107.90/108.12
% 107.90/108.12 ------------> process usable:
% 107.90/108.12 ** KEPT (pick-wt=8): 1 [] -element(A)|times(A,$f1(A))=A.
% 107.90/108.12 ** KEPT (pick-wt=8): 3 [copy,2,flip.2] -element(A)|$f1(A)=times(A,A).
% 107.90/108.12 ** KEPT (pick-wt=12): 4 [] element(A)|times(A,B)!=A|times(A,A)!=B.
% 107.90/108.12 ** KEPT (pick-wt=4): 5 [] -element(times($c2,$c1)).
% 107.90/108.12
% 107.90/108.12 ------------> process sos:
% 107.90/108.12 ** KEPT (pick-wt=3): 6 [] A=A.
% 107.90/108.12 ** KEPT (pick-wt=11): 7 [] times(times(A,B),C)=times(B,times(C,A)).
% 107.90/108.12 ** KEPT (pick-wt=2): 8 [] element($c2).
% 107.90/108.12 ** KEPT (pick-wt=2): 9 [] element($c1).
% 107.90/108.12 Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] A=A.
% 107.90/108.12 ** KEPT (pick-wt=11): 10 [copy,7,flip.1] times(A,times(B,C))=times(times(C,A),B).
% 107.90/108.12 Following clause subsumed by 7 during input processing: 0 [copy,10,flip.1] times(times(A,B),C)=times(B,times(C,A)).
% 107.90/108.12
% 107.90/108.12 ======= end of input processing =======
% 107.90/108.12
% 107.90/108.12 =========== start of search ===========
% 107.90/108.12
% 107.90/108.12
% 107.90/108.12 Resetting weight limit to 15.
% 107.90/108.12
% 107.90/108.12
% 107.90/108.12 Resetting weight limit to 15.
% 107.90/108.12
% 107.90/108.12 sos_size=1725
% 107.90/108.12
% 107.90/108.12 Search stopped because sos empty.
% 107.90/108.12
% 107.90/108.12
% 107.90/108.12 Search stopped because sos empty.
% 107.90/108.12
% 107.90/108.12 ============ end of search ============
% 107.90/108.12
% 107.90/108.12 -------------- statistics -------------
% 107.90/108.12 clauses given 2309
% 107.90/108.12 clauses generated 12654767
% 107.90/108.12 clauses kept 3403
% 107.90/108.12 clauses forward subsumed 307635
% 107.90/108.12 clauses back subsumed 312
% 107.90/108.12 Kbytes malloced 7812
% 107.90/108.12
% 107.90/108.12 ----------- times (seconds) -----------
% 107.90/108.12 user CPU time 105.92 (0 hr, 1 min, 45 sec)
% 107.90/108.12 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 107.90/108.12 wall-clock time 108 (0 hr, 1 min, 48 sec)
% 107.90/108.12
% 107.90/108.12 Process 6681 finished Wed Jul 27 04:01:44 2022
% 107.90/108.12 Otter interrupted
% 107.90/108.12 PROOF NOT FOUND
%------------------------------------------------------------------------------