TSTP Solution File: KLE084+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE084+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:00:42 EDT 2022
% Result : Unknown 3.04s 3.21s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE084+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 06:30:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.64/1.83 ----- Otter 3.3f, August 2004 -----
% 1.64/1.83 The process was started by sandbox on n003.cluster.edu,
% 1.64/1.83 Wed Jul 27 06:30:56 2022
% 1.64/1.83 The command was "./otter". The process ID is 15356.
% 1.64/1.83
% 1.64/1.83 set(prolog_style_variables).
% 1.64/1.83 set(auto).
% 1.64/1.83 dependent: set(auto1).
% 1.64/1.83 dependent: set(process_input).
% 1.64/1.83 dependent: clear(print_kept).
% 1.64/1.83 dependent: clear(print_new_demod).
% 1.64/1.83 dependent: clear(print_back_demod).
% 1.64/1.83 dependent: clear(print_back_sub).
% 1.64/1.83 dependent: set(control_memory).
% 1.64/1.83 dependent: assign(max_mem, 12000).
% 1.64/1.83 dependent: assign(pick_given_ratio, 4).
% 1.64/1.83 dependent: assign(stats_level, 1).
% 1.64/1.83 dependent: assign(max_seconds, 10800).
% 1.64/1.83 clear(print_given).
% 1.64/1.83
% 1.64/1.83 formula_list(usable).
% 1.64/1.83 all A (A=A).
% 1.64/1.83 all A B (addition(A,B)=addition(B,A)).
% 1.64/1.83 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.64/1.83 all A (addition(A,zero)=A).
% 1.64/1.83 all A (addition(A,A)=A).
% 1.64/1.83 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.64/1.83 all A (multiplication(A,one)=A).
% 1.64/1.83 all A (multiplication(one,A)=A).
% 1.64/1.83 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.64/1.83 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.64/1.83 all A (multiplication(A,zero)=zero).
% 1.64/1.83 all A (multiplication(zero,A)=zero).
% 1.64/1.83 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.64/1.83 all X0 (multiplication(antidomain(X0),X0)=zero).
% 1.64/1.83 all X0 X1 (addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))=antidomain(multiplication(X0,antidomain(antidomain(X1))))).
% 1.64/1.83 all X0 (addition(antidomain(antidomain(X0)),antidomain(X0))=one).
% 1.64/1.83 all X0 (domain(X0)=antidomain(antidomain(X0))).
% 1.64/1.83 all X0 (multiplication(X0,coantidomain(X0))=zero).
% 1.64/1.83 all X0 X1 (addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))=coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))).
% 1.64/1.83 all X0 (addition(coantidomain(coantidomain(X0)),coantidomain(X0))=one).
% 1.64/1.83 all X0 (codomain(X0)=coantidomain(coantidomain(X0))).
% 1.64/1.83 -(all X0 X1 (domain(multiplication(X0,X1))=domain(multiplication(X0,domain(X1))))).
% 1.64/1.83 end_of_list.
% 1.64/1.83
% 1.64/1.83 -------> usable clausifies to:
% 1.64/1.83
% 1.64/1.83 list(usable).
% 1.64/1.83 0 [] A=A.
% 1.64/1.83 0 [] addition(A,B)=addition(B,A).
% 1.64/1.83 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.64/1.83 0 [] addition(A,zero)=A.
% 1.64/1.83 0 [] addition(A,A)=A.
% 1.64/1.83 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.64/1.83 0 [] multiplication(A,one)=A.
% 1.64/1.83 0 [] multiplication(one,A)=A.
% 1.64/1.83 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.64/1.83 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.64/1.83 0 [] multiplication(A,zero)=zero.
% 1.64/1.83 0 [] multiplication(zero,A)=zero.
% 1.64/1.83 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.64/1.83 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.64/1.83 0 [] multiplication(antidomain(X0),X0)=zero.
% 1.64/1.83 0 [] addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))=antidomain(multiplication(X0,antidomain(antidomain(X1)))).
% 1.64/1.83 0 [] addition(antidomain(antidomain(X0)),antidomain(X0))=one.
% 1.64/1.83 0 [] domain(X0)=antidomain(antidomain(X0)).
% 1.64/1.83 0 [] multiplication(X0,coantidomain(X0))=zero.
% 1.64/1.83 0 [] addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))=coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)).
% 1.64/1.83 0 [] addition(coantidomain(coantidomain(X0)),coantidomain(X0))=one.
% 1.64/1.83 0 [] codomain(X0)=coantidomain(coantidomain(X0)).
% 1.64/1.83 0 [] domain(multiplication($c2,$c1))!=domain(multiplication($c2,domain($c1))).
% 1.64/1.83 end_of_list.
% 1.64/1.83
% 1.64/1.83 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.64/1.83
% 1.64/1.83 This is a Horn set with equality. The strategy will be
% 1.64/1.83 Knuth-Bendix and hyper_res, with positive clauses in
% 1.64/1.83 sos and nonpositive clauses in usable.
% 1.64/1.83
% 1.64/1.83 dependent: set(knuth_bendix).
% 1.64/1.83 dependent: set(anl_eq).
% 1.64/1.83 dependent: set(para_from).
% 1.64/1.83 dependent: set(para_into).
% 1.64/1.83 dependent: clear(para_from_right).
% 1.64/1.83 dependent: clear(para_into_right).
% 1.64/1.83 dependent: set(para_from_vars).
% 1.64/1.83 dependent: set(eq_units_both_ways).
% 1.64/1.83 dependent: set(dynamic_demod_all).
% 1.64/1.83 dependent: set(dynamic_demod).
% 1.64/1.83 dependent: set(order_eq).
% 1.64/1.83 dependent: set(back_demod).
% 1.64/1.83 dependent: set(lrpo).
% 1.64/1.83 dependent: set(hyper_res).
% 1.64/1.83 dependent: clear(order_hyper).
% 1.64/1.83
% 1.64/1.83 ------------> process usable:
% 1.64/1.83 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 1.64/1.83 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 1.64/1.83 ** KEPT (pick-wt=10): 4 [copy,3,flip.1] domain(multiplication($c2,domain($c1)))!=domain(multiplication($c2,$c1)).
% 1.64/1.83
% 1.64/1.83 ------------> process sos:
% 1.64/1.83 ** KEPT (pick-wt=3): 5 [] A=A.
% 1.64/1.83 ** KEPT (pick-wt=7): 6 [] addition(A,B)=addition(B,A).
% 1.64/1.83 ** KEPT (pick-wt=11): 8 [copy,7,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.64/1.83 ---> New Demodulator: 9 [new_demod,8] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.64/1.83 ** KEPT (pick-wt=5): 10 [] addition(A,zero)=A.
% 1.64/1.83 ---> New Demodulator: 11 [new_demod,10] addition(A,zero)=A.
% 1.64/1.83 ** KEPT (pick-wt=5): 12 [] addition(A,A)=A.
% 1.64/1.83 ---> New Demodulator: 13 [new_demod,12] addition(A,A)=A.
% 1.64/1.83 ** KEPT (pick-wt=11): 15 [copy,14,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.64/1.83 ---> New Demodulator: 16 [new_demod,15] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.64/1.83 ** KEPT (pick-wt=5): 17 [] multiplication(A,one)=A.
% 1.64/1.83 ---> New Demodulator: 18 [new_demod,17] multiplication(A,one)=A.
% 1.64/1.83 ** KEPT (pick-wt=5): 19 [] multiplication(one,A)=A.
% 1.64/1.83 ---> New Demodulator: 20 [new_demod,19] multiplication(one,A)=A.
% 1.64/1.83 ** KEPT (pick-wt=13): 21 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.64/1.83 ---> New Demodulator: 22 [new_demod,21] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.64/1.83 ** KEPT (pick-wt=13): 23 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.64/1.83 ---> New Demodulator: 24 [new_demod,23] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.64/1.83 ** KEPT (pick-wt=5): 25 [] multiplication(A,zero)=zero.
% 1.64/1.83 ---> New Demodulator: 26 [new_demod,25] multiplication(A,zero)=zero.
% 1.64/1.83 ** KEPT (pick-wt=5): 27 [] multiplication(zero,A)=zero.
% 1.64/1.83 ---> New Demodulator: 28 [new_demod,27] multiplication(zero,A)=zero.
% 1.64/1.83 ** KEPT (pick-wt=6): 29 [] multiplication(antidomain(A),A)=zero.
% 1.64/1.83 ---> New Demodulator: 30 [new_demod,29] multiplication(antidomain(A),A)=zero.
% 1.64/1.83 ** KEPT (pick-wt=18): 31 [] addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B)))))=antidomain(multiplication(A,antidomain(antidomain(B)))).
% 1.64/1.83 ---> New Demodulator: 32 [new_demod,31] addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B)))))=antidomain(multiplication(A,antidomain(antidomain(B)))).
% 1.64/1.83 ** KEPT (pick-wt=8): 33 [] addition(antidomain(antidomain(A)),antidomain(A))=one.
% 1.64/1.83 ---> New Demodulator: 34 [new_demod,33] addition(antidomain(antidomain(A)),antidomain(A))=one.
% 1.64/1.83 ** KEPT (pick-wt=6): 35 [] domain(A)=antidomain(antidomain(A)).
% 1.64/1.83 ---> New Demodulator: 36 [new_demod,35] domain(A)=antidomain(antidomain(A)).
% 1.64/1.83 ** KEPT (pick-wt=6): 37 [] multiplication(A,coantidomain(A))=zero.
% 1.64/1.83 ---> New Demodulator: 38 [new_demod,37] multiplication(A,coantidomain(A))=zero.
% 1.64/1.83 ** KEPT (pick-wt=18): 39 [] addition(coantidomain(multiplication(A,B)),coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=coantidomain(multiplication(coantidomain(coantidomain(A)),B)).
% 1.64/1.83 ---> New Demodulator: 40 [new_demod,39] addition(coantidomain(multiplication(A,B)),coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=coantidomain(multiplication(coantidomain(coantidomain(A)),B)).
% 1.64/1.83 ** KEPT (pick-wt=8): 41 [] addition(coantidomain(coantidomain(A)),coantidomain(A))=one.
% 1.64/1.83 ---> New Demodulator: 42 [new_demod,41] addition(coantidomain(coantidomain(A)),coantidomain(A))=one.
% 1.64/1.83 ** KEPT (pick-wt=6): 43 [] codomain(A)=coantidomain(coantidomain(A)).
% 1.64/1.83 ---> New Demodulator: 44 [new_demod,43] codomain(A)=coantidomain(coantidomain(A)).
% 1.64/1.83 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] A=A.
% 1.64/1.83 Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] addition(A,B)=addition(B,A).
% 1.64/1.83 >>>> Starting back demodulation with 9.
% 1.64/1.83 >>>> Starting back demodulation with 11.
% 1.64/1.83 >>>> Starting back demodulation with 13.
% 1.64/1.83 >>>> Starting back demodulation with 16.
% 3.04/3.21 >>>> Starting back demodulation with 18.
% 3.04/3.21 >>>> Starting back demodulation with 20.
% 3.04/3.21 >>>> Starting back demodulation with 22.
% 3.04/3.21 >>>> Starting back demodulation with 24.
% 3.04/3.21 >>>> Starting back demodulation with 26.
% 3.04/3.21 >>>> Starting back demodulation with 28.
% 3.04/3.21 >>>> Starting back demodulation with 30.
% 3.04/3.21 >>>> Starting back demodulation with 32.
% 3.04/3.21 >>>> Starting back demodulation with 34.
% 3.04/3.21 >>>> Starting back demodulation with 36.
% 3.04/3.21 >> back demodulating 4 with 36.
% 3.04/3.21 >>>> Starting back demodulation with 38.
% 3.04/3.21 >>>> Starting back demodulation with 40.
% 3.04/3.21 >>>> Starting back demodulation with 42.
% 3.04/3.21 >>>> Starting back demodulation with 44.
% 3.04/3.21
% 3.04/3.21 ======= end of input processing =======
% 3.04/3.21
% 3.04/3.21 =========== start of search ===========
% 3.04/3.21
% 3.04/3.21
% 3.04/3.21 Resetting weight limit to 9.
% 3.04/3.21
% 3.04/3.21
% 3.04/3.21 Resetting weight limit to 9.
% 3.04/3.21
% 3.04/3.21 sos_size=504
% 3.04/3.21
% 3.04/3.21
% 3.04/3.21 Resetting weight limit to 8.
% 3.04/3.21
% 3.04/3.21
% 3.04/3.21 Resetting weight limit to 8.
% 3.04/3.21
% 3.04/3.21 sos_size=528
% 3.04/3.21
% 3.04/3.21 Search stopped because sos empty.
% 3.04/3.21
% 3.04/3.21
% 3.04/3.21 Search stopped because sos empty.
% 3.04/3.21
% 3.04/3.21 ============ end of search ============
% 3.04/3.21
% 3.04/3.21 -------------- statistics -------------
% 3.04/3.21 clauses given 718
% 3.04/3.21 clauses generated 341793
% 3.04/3.21 clauses kept 829
% 3.04/3.21 clauses forward subsumed 32223
% 3.04/3.21 clauses back subsumed 55
% 3.04/3.21 Kbytes malloced 6835
% 3.04/3.21
% 3.04/3.21 ----------- times (seconds) -----------
% 3.04/3.21 user CPU time 1.38 (0 hr, 0 min, 1 sec)
% 3.04/3.21 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.04/3.21 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.04/3.21
% 3.04/3.21 Process 15356 finished Wed Jul 27 06:30:59 2022
% 3.04/3.21 Otter interrupted
% 3.04/3.21 PROOF NOT FOUND
%------------------------------------------------------------------------------