TSTP Solution File: GRP685+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP685+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 12:57:39 EDT 2022
% Result : Unknown 1.80s 2.02s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP685+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n014.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 05:25:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.73/1.95 ----- Otter 3.3f, August 2004 -----
% 1.73/1.95 The process was started by sandbox on n014.cluster.edu,
% 1.73/1.95 Wed Jul 27 05:25:39 2022
% 1.73/1.95 The command was "./otter". The process ID is 9238.
% 1.73/1.95
% 1.73/1.95 set(prolog_style_variables).
% 1.73/1.95 set(auto).
% 1.73/1.95 dependent: set(auto1).
% 1.73/1.95 dependent: set(process_input).
% 1.73/1.95 dependent: clear(print_kept).
% 1.73/1.95 dependent: clear(print_new_demod).
% 1.73/1.95 dependent: clear(print_back_demod).
% 1.73/1.95 dependent: clear(print_back_sub).
% 1.73/1.95 dependent: set(control_memory).
% 1.73/1.95 dependent: assign(max_mem, 12000).
% 1.73/1.95 dependent: assign(pick_given_ratio, 4).
% 1.73/1.95 dependent: assign(stats_level, 1).
% 1.73/1.95 dependent: assign(max_seconds, 10800).
% 1.73/1.95 clear(print_given).
% 1.73/1.95
% 1.73/1.95 formula_list(usable).
% 1.73/1.95 all A (A=A).
% 1.73/1.95 all A (ld(A,mult(A,A))=A).
% 1.73/1.95 all A (rd(mult(A,A),A)=A).
% 1.73/1.95 all B A (mult(A,ld(A,B))=ld(A,mult(A,B))).
% 1.73/1.95 all B A (mult(rd(A,B),B)=rd(mult(A,B),B)).
% 1.73/1.95 all D C B A (ld(ld(A,B),mult(ld(A,B),mult(C,D)))=mult(ld(A,mult(A,C)),D)).
% 1.73/1.95 all D C B A (rd(mult(mult(A,B),rd(C,D)),rd(C,D))=mult(A,rd(mult(B,D),D))).
% 1.73/1.95 all B A (ld(A,mult(A,ld(B,B)))=rd(mult(rd(A,A),B),B)).
% 1.73/1.95 -(all X6 X7 X8 (rd(mult(X6,ld(X7,X8)),ld(X7,X8))=rd(mult(X6,X8),X8)&rd(mult(X6,rd(X7,X8)),rd(X7,X8))=rd(mult(X6,X8),X8))).
% 1.73/1.95 end_of_list.
% 1.73/1.95
% 1.73/1.95 -------> usable clausifies to:
% 1.73/1.95
% 1.73/1.95 list(usable).
% 1.73/1.95 0 [] A=A.
% 1.73/1.95 0 [] ld(A,mult(A,A))=A.
% 1.73/1.95 0 [] rd(mult(A,A),A)=A.
% 1.73/1.95 0 [] mult(A,ld(A,B))=ld(A,mult(A,B)).
% 1.73/1.95 0 [] mult(rd(A,B),B)=rd(mult(A,B),B).
% 1.73/1.95 0 [] ld(ld(A,B),mult(ld(A,B),mult(C,D)))=mult(ld(A,mult(A,C)),D).
% 1.73/1.95 0 [] rd(mult(mult(A,B),rd(C,D)),rd(C,D))=mult(A,rd(mult(B,D),D)).
% 1.73/1.95 0 [] ld(A,mult(A,ld(B,B)))=rd(mult(rd(A,A),B),B).
% 1.73/1.95 0 [] rd(mult($c3,ld($c2,$c1)),ld($c2,$c1))!=rd(mult($c3,$c1),$c1)|rd(mult($c3,rd($c2,$c1)),rd($c2,$c1))!=rd(mult($c3,$c1),$c1).
% 1.73/1.95 end_of_list.
% 1.73/1.95
% 1.73/1.95 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.73/1.95
% 1.73/1.95 This is a Horn set with equality. The strategy will be
% 1.73/1.95 Knuth-Bendix and hyper_res, with positive clauses in
% 1.73/1.95 sos and nonpositive clauses in usable.
% 1.73/1.95
% 1.73/1.95 dependent: set(knuth_bendix).
% 1.73/1.95 dependent: set(anl_eq).
% 1.73/1.95 dependent: set(para_from).
% 1.73/1.95 dependent: set(para_into).
% 1.73/1.95 dependent: clear(para_from_right).
% 1.73/1.95 dependent: clear(para_into_right).
% 1.73/1.95 dependent: set(para_from_vars).
% 1.73/1.95 dependent: set(eq_units_both_ways).
% 1.73/1.95 dependent: set(dynamic_demod_all).
% 1.73/1.95 dependent: set(dynamic_demod).
% 1.73/1.95 dependent: set(order_eq).
% 1.73/1.95 dependent: set(back_demod).
% 1.73/1.95 dependent: set(lrpo).
% 1.73/1.95 dependent: set(hyper_res).
% 1.73/1.95 dependent: clear(order_hyper).
% 1.73/1.95
% 1.73/1.95 ------------> process usable:
% 1.73/1.95 ** KEPT (pick-wt=30): 1 [] rd(mult($c3,ld($c2,$c1)),ld($c2,$c1))!=rd(mult($c3,$c1),$c1)|rd(mult($c3,rd($c2,$c1)),rd($c2,$c1))!=rd(mult($c3,$c1),$c1).
% 1.73/1.95
% 1.73/1.95 ------------> process sos:
% 1.73/1.95 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.73/1.95 ** KEPT (pick-wt=7): 3 [] ld(A,mult(A,A))=A.
% 1.73/1.95 ---> New Demodulator: 4 [new_demod,3] ld(A,mult(A,A))=A.
% 1.73/1.95 ** KEPT (pick-wt=7): 5 [] rd(mult(A,A),A)=A.
% 1.73/1.95 ---> New Demodulator: 6 [new_demod,5] rd(mult(A,A),A)=A.
% 1.73/1.95 ** KEPT (pick-wt=11): 7 [] mult(A,ld(A,B))=ld(A,mult(A,B)).
% 1.73/1.95 ---> New Demodulator: 8 [new_demod,7] mult(A,ld(A,B))=ld(A,mult(A,B)).
% 1.73/1.95 ** KEPT (pick-wt=11): 10 [copy,9,flip.1] rd(mult(A,B),B)=mult(rd(A,B),B).
% 1.73/1.95 ---> New Demodulator: 11 [new_demod,10] rd(mult(A,B),B)=mult(rd(A,B),B).
% 1.73/1.95 ** KEPT (pick-wt=19): 12 [] ld(ld(A,B),mult(ld(A,B),mult(C,D)))=mult(ld(A,mult(A,C)),D).
% 1.73/1.95 ** KEPT (pick-wt=19): 14 [copy,13,demod,11,11] mult(rd(mult(A,B),rd(C,D)),rd(C,D))=mult(A,mult(rd(B,D),D)).
% 1.73/1.95 ---> New Demodulator: 15 [new_demod,14] mult(rd(mult(A,B),rd(C,D)),rd(C,D))=mult(A,mult(rd(B,D),D)).
% 1.73/1.95 ** KEPT (pick-wt=15): 17 [copy,16,demod,11,flip.1] mult(rd(rd(A,A),B),B)=ld(A,mult(A,ld(B,B))).
% 1.73/1.95 ---> New Demodulator: 18 [new_demod,17] mult(rd(rd(A,A),B),B)=ld(A,mult(A,ld(B,B))).
% 1.73/1.95 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.73/1.95 >>>> Starting back demodulation with 4.
% 1.73/1.95 >>>> Starting back demodulation with 6.
% 1.73/1.95 >>>> Starting back demodulation with 8.
% 1.73/1.95 >>>> Starting back demodulation with 11.
% 1.73/1.95 >> back demodulating 5 with 11.
% 1.73/1.95 >> back demodulating 1 with 11.
% 1.73/1.95 ** KEPT (pick-wt=19): 22 [copy,12,flip.1] mult(ld(A,mult(A,B)),C)=ld(ld(A,D),mult(ld(A,D),mult(B,C))).
% 1.73/1.95 >>>> Starting back demodulation with 15.
% 1.73/1.95 >>>> Starting back demodulation with 18.
% 1.73/1.95 >>>> Starting back demodulation with 20.
% 1.80/2.02 Following clause subsumed by 12 during input processing: 0 [copy,22,flip.1] ld(ld(A,B),mult(ld(A,B),mult(C,D)))=mult(ld(A,mult(A,C)),D).
% 1.80/2.02
% 1.80/2.02 ======= end of input processing =======
% 1.80/2.02
% 1.80/2.02 =========== start of search ===========
% 1.80/2.02
% 1.80/2.02
% 1.80/2.02 Resetting weight limit to 15.
% 1.80/2.02
% 1.80/2.02
% 1.80/2.02 Resetting weight limit to 15.
% 1.80/2.02
% 1.80/2.02 sos_size=89
% 1.80/2.02
% 1.80/2.02
% 1.80/2.02 Resetting weight limit to 11.
% 1.80/2.02
% 1.80/2.02
% 1.80/2.02 Resetting weight limit to 11.
% 1.80/2.02
% 1.80/2.02 sos_size=19
% 1.80/2.02
% 1.80/2.02 Search stopped because sos empty.
% 1.80/2.02
% 1.80/2.02
% 1.80/2.02 Search stopped because sos empty.
% 1.80/2.02
% 1.80/2.02 ============ end of search ============
% 1.80/2.02
% 1.80/2.02 -------------- statistics -------------
% 1.80/2.02 clauses given 112
% 1.80/2.02 clauses generated 3528
% 1.80/2.02 clauses kept 288
% 1.80/2.02 clauses forward subsumed 1980
% 1.80/2.02 clauses back subsumed 2
% 1.80/2.02 Kbytes malloced 4882
% 1.80/2.02
% 1.80/2.02 ----------- times (seconds) -----------
% 1.80/2.02 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.80/2.02 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.80/2.02 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.80/2.02
% 1.80/2.02 Process 9238 finished Wed Jul 27 05:25:41 2022
% 1.80/2.02 Otter interrupted
% 1.80/2.02 PROOF NOT FOUND
%------------------------------------------------------------------------------