TSTP Solution File: KLE181+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE181+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 13:00:56 EDT 2022
% Result : Unknown 2.77s 2.93s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE181+1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Jul 27 06:36:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.78/1.95 ----- Otter 3.3f, August 2004 -----
% 1.78/1.95 The process was started by sandbox on n008.cluster.edu,
% 1.78/1.95 Wed Jul 27 06:36:38 2022
% 1.78/1.95 The command was "./otter". The process ID is 25397.
% 1.78/1.95
% 1.78/1.95 set(prolog_style_variables).
% 1.78/1.95 set(auto).
% 1.78/1.95 dependent: set(auto1).
% 1.78/1.95 dependent: set(process_input).
% 1.78/1.95 dependent: clear(print_kept).
% 1.78/1.95 dependent: clear(print_new_demod).
% 1.78/1.95 dependent: clear(print_back_demod).
% 1.78/1.95 dependent: clear(print_back_sub).
% 1.78/1.95 dependent: set(control_memory).
% 1.78/1.95 dependent: assign(max_mem, 12000).
% 1.78/1.95 dependent: assign(pick_given_ratio, 4).
% 1.78/1.95 dependent: assign(stats_level, 1).
% 1.78/1.95 dependent: assign(max_seconds, 10800).
% 1.78/1.95 clear(print_given).
% 1.78/1.95
% 1.78/1.95 formula_list(usable).
% 1.78/1.95 all A (A=A).
% 1.78/1.95 all A B (addition(A,B)=addition(B,A)).
% 1.78/1.95 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.78/1.95 all A (addition(A,zero)=A).
% 1.78/1.95 all A (addition(A,A)=A).
% 1.78/1.95 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.78/1.95 all A (multiplication(A,one)=A).
% 1.78/1.95 all A (multiplication(one,A)=A).
% 1.78/1.95 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.78/1.95 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.78/1.95 all A (multiplication(A,zero)=zero).
% 1.78/1.95 all A (multiplication(zero,A)=zero).
% 1.78/1.95 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.78/1.95 all A le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.78/1.95 all A le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.78/1.95 all A B C (le_q(addition(multiplication(A,B),C),B)->le_q(multiplication(star(A),C),B)).
% 1.78/1.95 all A B C (le_q(addition(multiplication(A,B),C),A)->le_q(multiplication(C,star(B)),A)).
% 1.78/1.95 all A (multiplication(A,omega(A))=omega(A)).
% 1.78/1.95 all A B C (le_q(A,addition(multiplication(B,A),C))->le_q(A,addition(omega(B),multiplication(star(B),C)))).
% 1.78/1.95 all X0 (addition(X0,multiplication(domain(X0),X0))=multiplication(domain(X0),X0)).
% 1.78/1.95 all X0 X1 (domain(multiplication(X0,X1))=domain(multiplication(X0,domain(X1)))).
% 1.78/1.95 all X0 (addition(domain(X0),one)=one).
% 1.78/1.95 domain(zero)=zero.
% 1.78/1.95 all X0 X1 (domain(addition(X0,X1))=addition(domain(X0),domain(X1))).
% 1.78/1.95 end_of_list.
% 1.78/1.95
% 1.78/1.95 -------> usable clausifies to:
% 1.78/1.95
% 1.78/1.95 list(usable).
% 1.78/1.95 0 [] A=A.
% 1.78/1.95 0 [] addition(A,B)=addition(B,A).
% 1.78/1.95 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.78/1.95 0 [] addition(A,zero)=A.
% 1.78/1.95 0 [] addition(A,A)=A.
% 1.78/1.95 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.78/1.95 0 [] multiplication(A,one)=A.
% 1.78/1.95 0 [] multiplication(one,A)=A.
% 1.78/1.95 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.78/1.95 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.78/1.95 0 [] multiplication(A,zero)=zero.
% 1.78/1.95 0 [] multiplication(zero,A)=zero.
% 1.78/1.95 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.78/1.95 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.78/1.95 0 [] le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.78/1.95 0 [] le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.78/1.95 0 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.78/1.95 0 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.78/1.95 0 [] multiplication(A,omega(A))=omega(A).
% 1.78/1.95 0 [] -le_q(A,addition(multiplication(B,A),C))|le_q(A,addition(omega(B),multiplication(star(B),C))).
% 1.78/1.95 0 [] addition(X0,multiplication(domain(X0),X0))=multiplication(domain(X0),X0).
% 1.78/1.95 0 [] domain(multiplication(X0,X1))=domain(multiplication(X0,domain(X1))).
% 1.78/1.95 0 [] addition(domain(X0),one)=one.
% 1.78/1.95 0 [] domain(zero)=zero.
% 1.78/1.95 0 [] domain(addition(X0,X1))=addition(domain(X0),domain(X1)).
% 1.78/1.95 end_of_list.
% 1.78/1.95
% 1.78/1.95 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.78/1.95
% 1.78/1.95 This is a Horn set with equality. The strategy will be
% 1.78/1.95 Knuth-Bendix and hyper_res, with positive clauses in
% 1.78/1.95 sos and nonpositive clauses in usable.
% 1.78/1.95
% 1.78/1.95 dependent: set(knuth_bendix).
% 1.78/1.95 dependent: set(anl_eq).
% 1.78/1.95 dependent: set(para_from).
% 1.78/1.95 dependent: set(para_into).
% 1.78/1.95 dependent: clear(para_from_right).
% 1.78/1.95 dependent: clear(para_into_right).
% 1.78/1.95 dependent: set(para_from_vars).
% 1.78/1.95 dependent: set(eq_units_both_ways).
% 1.78/1.95 dependent: set(dynamic_demod_all).
% 1.78/1.95 dependent: set(dynamic_demod).
% 1.78/1.95 dependent: set(order_eq).
% 1.78/1.95 dependent: set(back_demod).
% 1.78/1.95 dependent: set(lrpo).
% 1.78/1.95 dependent: set(hyper_res).
% 1.78/1.95 dependent: clear(order_hyper).
% 1.78/1.95
% 1.78/1.95 ------------> process usable:
% 1.78/1.95 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 1.78/1.95 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 1.78/1.95 ** KEPT (pick-wt=13): 3 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.78/1.95 ** KEPT (pick-wt=13): 4 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.78/1.95 ** KEPT (pick-wt=16): 5 [] -le_q(A,addition(multiplication(B,A),C))|le_q(A,addition(omega(B),multiplication(star(B),C))).
% 1.78/1.95
% 1.78/1.95 ------------> process sos:
% 1.78/1.95 ** KEPT (pick-wt=3): 6 [] A=A.
% 1.78/1.95 ** KEPT (pick-wt=7): 7 [] addition(A,B)=addition(B,A).
% 1.78/1.95 ** KEPT (pick-wt=11): 9 [copy,8,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.78/1.95 ---> New Demodulator: 10 [new_demod,9] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.78/1.95 ** KEPT (pick-wt=5): 11 [] addition(A,zero)=A.
% 1.78/1.95 ---> New Demodulator: 12 [new_demod,11] addition(A,zero)=A.
% 1.78/1.95 ** KEPT (pick-wt=5): 13 [] addition(A,A)=A.
% 1.78/1.95 ---> New Demodulator: 14 [new_demod,13] addition(A,A)=A.
% 1.78/1.95 ** KEPT (pick-wt=11): 16 [copy,15,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.78/1.95 ---> New Demodulator: 17 [new_demod,16] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.78/1.95 ** KEPT (pick-wt=5): 18 [] multiplication(A,one)=A.
% 1.78/1.95 ---> New Demodulator: 19 [new_demod,18] multiplication(A,one)=A.
% 1.78/1.95 ** KEPT (pick-wt=5): 20 [] multiplication(one,A)=A.
% 1.78/1.95 ---> New Demodulator: 21 [new_demod,20] multiplication(one,A)=A.
% 1.78/1.95 ** KEPT (pick-wt=13): 22 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.78/1.95 ---> New Demodulator: 23 [new_demod,22] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.78/1.95 ** KEPT (pick-wt=13): 24 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.78/1.95 ---> New Demodulator: 25 [new_demod,24] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.78/1.95 ** KEPT (pick-wt=5): 26 [] multiplication(A,zero)=zero.
% 1.78/1.95 ---> New Demodulator: 27 [new_demod,26] multiplication(A,zero)=zero.
% 1.78/1.95 ** KEPT (pick-wt=5): 28 [] multiplication(zero,A)=zero.
% 1.78/1.95 ---> New Demodulator: 29 [new_demod,28] multiplication(zero,A)=zero.
% 1.78/1.95 ** KEPT (pick-wt=9): 30 [] le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.78/1.95 ** KEPT (pick-wt=9): 31 [] le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.78/1.95 ** KEPT (pick-wt=7): 32 [] multiplication(A,omega(A))=omega(A).
% 1.78/1.95 ---> New Demodulator: 33 [new_demod,32] multiplication(A,omega(A))=omega(A).
% 1.78/1.95 ** KEPT (pick-wt=11): 34 [] addition(A,multiplication(domain(A),A))=multiplication(domain(A),A).
% 1.78/1.95 ---> New Demodulator: 35 [new_demod,34] addition(A,multiplication(domain(A),A))=multiplication(domain(A),A).
% 1.78/1.95 ** KEPT (pick-wt=10): 37 [copy,36,flip.1] domain(multiplication(A,domain(B)))=domain(multiplication(A,B)).
% 1.78/1.95 ---> New Demodulator: 38 [new_demod,37] domain(multiplication(A,domain(B)))=domain(multiplication(A,B)).
% 1.78/1.95 ** KEPT (pick-wt=6): 39 [] addition(domain(A),one)=one.
% 1.78/1.95 ---> New Demodulator: 40 [new_demod,39] addition(domain(A),one)=one.
% 1.78/1.95 ** KEPT (pick-wt=4): 41 [] domain(zero)=zero.
% 1.78/1.95 ---> New Demodulator: 42 [new_demod,41] domain(zero)=zero.
% 1.78/1.95 ** KEPT (pick-wt=10): 43 [] domain(addition(A,B))=addition(domain(A),domain(B)).
% 1.78/1.95 ---> New Demodulator: 44 [new_demod,43] domain(addition(A,B))=addition(domain(A),domain(B)).
% 1.78/1.95 Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] A=A.
% 1.78/1.95 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] addition(A,B)=addition(B,A).
% 1.78/1.95 >>>> Starting back demodulation with 10.
% 1.78/1.95 >>>> Starting back demodulation with 12.
% 1.78/1.95 >>>> Starting back demodulation with 14.
% 1.78/1.95 >>>> Starting back demodulation with 17.
% 1.78/1.95 >>>> Starting back demodulation with 19.
% 1.78/1.95 >>>> Starting back demodulation with 21.
% 1.78/1.95 >>>> Starting back demodulation with 23.
% 1.78/1.95 >>>> Starting back demodulation with 25.
% 1.78/1.95 >>>> Starting back demodulation with 27.
% 1.78/1.95 >>>> Starting back demodulation with 29.
% 1.78/1.95 >>>> Starting back demodulation with 33.
% 1.78/1.95 >>>> Starting back demodulation with 35.
% 1.78/1.95 >>>> Starting back demodulation with 38.
% 1.78/1.95 >>>> Starting back demodulation with 40.
% 1.78/1.95 >>>> Starting back demodulation with 42.
% 2.77/2.93 >>>> Starting back demodulation with 44.
% 2.77/2.93
% 2.77/2.93 ======= end of input processing =======
% 2.77/2.93
% 2.77/2.93 =========== start of search ===========
% 2.77/2.93
% 2.77/2.93
% 2.77/2.93 Resetting weight limit to 9.
% 2.77/2.93
% 2.77/2.93
% 2.77/2.93 Resetting weight limit to 9.
% 2.77/2.93
% 2.77/2.93 sos_size=678
% 2.77/2.93
% 2.77/2.93
% 2.77/2.93 Resetting weight limit to 8.
% 2.77/2.93
% 2.77/2.93
% 2.77/2.93 Resetting weight limit to 8.
% 2.77/2.93
% 2.77/2.93 sos_size=715
% 2.77/2.93
% 2.77/2.93 Search stopped because sos empty.
% 2.77/2.93
% 2.77/2.93
% 2.77/2.93 Search stopped because sos empty.
% 2.77/2.93
% 2.77/2.93 ============ end of search ============
% 2.77/2.93
% 2.77/2.93 -------------- statistics -------------
% 2.77/2.93 clauses given 940
% 2.77/2.93 clauses generated 231384
% 2.77/2.93 clauses kept 1425
% 2.77/2.93 clauses forward subsumed 32359
% 2.77/2.93 clauses back subsumed 362
% 2.77/2.93 Kbytes malloced 6835
% 2.77/2.93
% 2.77/2.93 ----------- times (seconds) -----------
% 2.77/2.93 user CPU time 0.98 (0 hr, 0 min, 0 sec)
% 2.77/2.93 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.77/2.93 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.77/2.93
% 2.77/2.93 Process 25397 finished Wed Jul 27 06:36:41 2022
% 2.77/2.93 Otter interrupted
% 2.77/2.93 PROOF NOT FOUND
%------------------------------------------------------------------------------