TSTP Solution File: KLE050+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE050+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:00:37 EDT 2022
% Result : Unknown 28.39s 28.60s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE050+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n016.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 06:52:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.96 ----- Otter 3.3f, August 2004 -----
% 1.74/1.96 The process was started by sandbox on n016.cluster.edu,
% 1.74/1.96 Wed Jul 27 06:52:07 2022
% 1.74/1.96 The command was "./otter". The process ID is 9917.
% 1.74/1.96
% 1.74/1.96 set(prolog_style_variables).
% 1.74/1.96 set(auto).
% 1.74/1.96 dependent: set(auto1).
% 1.74/1.96 dependent: set(process_input).
% 1.74/1.96 dependent: clear(print_kept).
% 1.74/1.96 dependent: clear(print_new_demod).
% 1.74/1.96 dependent: clear(print_back_demod).
% 1.74/1.96 dependent: clear(print_back_sub).
% 1.74/1.96 dependent: set(control_memory).
% 1.74/1.96 dependent: assign(max_mem, 12000).
% 1.74/1.96 dependent: assign(pick_given_ratio, 4).
% 1.74/1.96 dependent: assign(stats_level, 1).
% 1.74/1.96 dependent: assign(max_seconds, 10800).
% 1.74/1.96 clear(print_given).
% 1.74/1.96
% 1.74/1.96 formula_list(usable).
% 1.74/1.96 all A (A=A).
% 1.74/1.96 all A B (addition(A,B)=addition(B,A)).
% 1.74/1.96 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.74/1.96 all A (addition(A,zero)=A).
% 1.74/1.96 all A (addition(A,A)=A).
% 1.74/1.96 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.74/1.96 all A (multiplication(A,one)=A).
% 1.74/1.96 all A (multiplication(one,A)=A).
% 1.74/1.96 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.74/1.96 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.74/1.96 all A (multiplication(A,zero)=zero).
% 1.74/1.96 all A (multiplication(zero,A)=zero).
% 1.74/1.96 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.74/1.96 all A le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.74/1.96 all A le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.74/1.96 all A B C (le_q(addition(multiplication(A,B),C),B)->le_q(multiplication(star(A),C),B)).
% 1.74/1.96 all A B C (le_q(addition(multiplication(A,B),C),A)->le_q(multiplication(C,star(B)),A)).
% 1.74/1.96 all X0 (test(X0)<-> (exists X1 complement(X1,X0))).
% 1.74/1.96 all X0 X1 (complement(X1,X0)<->multiplication(X0,X1)=zero&multiplication(X1,X0)=zero&addition(X0,X1)=one).
% 1.74/1.96 all X0 X1 (test(X0)-> (c(X0)=X1<->complement(X0,X1))).
% 1.74/1.96 all X0 (-test(X0)->c(X0)=zero).
% 1.74/1.96 -(all X0 X1 X2 X3 (test(X2)&test(X3)->le_q(multiplication(star(multiplication(multiplication(multiplication(X2,X0),star(multiplication(X3,X1))),c(X3))),c(X2)),addition(multiplication(multiplication(multiplication(multiplication(X2,X0),addition(X2,X3)),star(addition(multiplication(X3,X1),multiplication(c(X3),X0)))),c(addition(X2,X3))),c(X2)))&le_q(addition(multiplication(multiplication(multiplication(multiplication(X2,X0),addition(X2,X3)),star(addition(multiplication(X3,X1),multiplication(c(X3),X0)))),c(addition(X2,X3))),c(X2)),multiplication(star(multiplication(multiplication(multiplication(X2,X0),star(multiplication(X3,X1))),c(X3))),c(X2))))).
% 1.74/1.97 end_of_list.
% 1.74/1.97
% 1.74/1.97 -------> usable clausifies to:
% 1.74/1.97
% 1.74/1.97 list(usable).
% 1.74/1.97 0 [] A=A.
% 1.74/1.97 0 [] addition(A,B)=addition(B,A).
% 1.74/1.97 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.74/1.97 0 [] addition(A,zero)=A.
% 1.74/1.97 0 [] addition(A,A)=A.
% 1.74/1.97 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.74/1.97 0 [] multiplication(A,one)=A.
% 1.74/1.97 0 [] multiplication(one,A)=A.
% 1.74/1.97 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.74/1.97 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.74/1.97 0 [] multiplication(A,zero)=zero.
% 1.74/1.97 0 [] multiplication(zero,A)=zero.
% 1.74/1.97 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.74/1.97 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.74/1.97 0 [] le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.74/1.97 0 [] le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.74/1.97 0 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.74/1.97 0 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.74/1.97 0 [] -test(X0)|complement($f1(X0),X0).
% 1.74/1.97 0 [] test(X0)| -complement(X1,X0).
% 1.74/1.97 0 [] -complement(X1,X0)|multiplication(X0,X1)=zero.
% 1.74/1.97 0 [] -complement(X1,X0)|multiplication(X1,X0)=zero.
% 1.74/1.97 0 [] -complement(X1,X0)|addition(X0,X1)=one.
% 1.74/1.97 0 [] complement(X1,X0)|multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero|addition(X0,X1)!=one.
% 1.74/1.97 0 [] -test(X0)|c(X0)!=X1|complement(X0,X1).
% 1.74/1.97 0 [] -test(X0)|c(X0)=X1| -complement(X0,X1).
% 1.74/1.97 0 [] test(X0)|c(X0)=zero.
% 1.74/1.97 0 [] test($c2).
% 1.74/1.97 0 [] test($c1).
% 1.74/1.97 0 [] -le_q(multiplication(star(multiplication(multiplication(multiplication($c2,$c4),star(multiplication($c1,$c3))),c($c1))),c($c2)),addition(multiplication(multiplication(multiplication(multiplication($c2,$c4),addition($c2,$c1)),star(addition(multiplication($c1,$c3),multiplication(c($c1),$c4)))),c(addition($c2,$c1))),c($c2)))| -le_q(addition(multiplication(multiplication(multiplication(multiplication($c2,$c4),addition($c2,$c1)),star(addition(multiplication($c1,$c3),multiplication(c($c1),$c4)))),c(addition($c2,$c1))),c($c2)),multiplication(star(multiplication(multiplication(multiplication($c2,$c4),star(multiplication($c1,$c3))),c($c1))),c($c2))).
% 1.74/1.97 end_of_list.
% 1.74/1.97
% 1.74/1.97 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.74/1.97
% 1.74/1.97 This ia a non-Horn set with equality. The strategy will be
% 1.74/1.97 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.74/1.97 deletion, with positive clauses in sos and nonpositive
% 1.74/1.97 clauses in usable.
% 1.74/1.97
% 1.74/1.97 dependent: set(knuth_bendix).
% 1.74/1.97 dependent: set(anl_eq).
% 1.74/1.97 dependent: set(para_from).
% 1.74/1.97 dependent: set(para_into).
% 1.74/1.97 dependent: clear(para_from_right).
% 1.74/1.97 dependent: clear(para_into_right).
% 1.74/1.97 dependent: set(para_from_vars).
% 1.74/1.97 dependent: set(eq_units_both_ways).
% 1.74/1.97 dependent: set(dynamic_demod_all).
% 1.74/1.97 dependent: set(dynamic_demod).
% 1.74/1.97 dependent: set(order_eq).
% 1.74/1.97 dependent: set(back_demod).
% 1.74/1.97 dependent: set(lrpo).
% 1.74/1.97 dependent: set(hyper_res).
% 1.74/1.97 dependent: set(unit_deletion).
% 1.74/1.97 dependent: set(factor).
% 1.74/1.97
% 1.74/1.97 ------------> process usable:
% 1.74/1.97 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 1.74/1.97 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 1.74/1.97 ** KEPT (pick-wt=13): 3 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.74/1.97 ** KEPT (pick-wt=13): 4 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.74/1.97 ** KEPT (pick-wt=6): 5 [] -test(A)|complement($f1(A),A).
% 1.74/1.97 ** KEPT (pick-wt=5): 6 [] test(A)| -complement(B,A).
% 1.74/1.97 ** KEPT (pick-wt=8): 7 [] -complement(A,B)|multiplication(B,A)=zero.
% 1.74/1.97 ** KEPT (pick-wt=8): 8 [] -complement(A,B)|multiplication(A,B)=zero.
% 1.74/1.97 ** KEPT (pick-wt=8): 9 [] -complement(A,B)|addition(B,A)=one.
% 1.74/1.97 ** KEPT (pick-wt=18): 10 [] complement(A,B)|multiplication(B,A)!=zero|multiplication(A,B)!=zero|addition(B,A)!=one.
% 1.74/1.97 ** KEPT (pick-wt=9): 11 [] -test(A)|c(A)!=B|complement(A,B).
% 1.74/1.97 ** KEPT (pick-wt=9): 12 [] -test(A)|c(A)=B| -complement(A,B).
% 1.74/1.97 ** KEPT (pick-wt=82): 13 [] -le_q(multiplication(star(multiplication(multiplication(multiplication($c2,$c4),star(multiplication($c1,$c3))),c($c1))),c($c2)),addition(multiplication(multiplication(multiplication(multiplication($c2,$c4),addition($c2,$c1)),star(addition(multiplication($c1,$c3),multiplication(c($c1),$c4)))),c(addition($c2,$c1))),c($c2)))| -le_q(addition(multiplication(multiplication(multiplication(multiplication($c2,$c4),addition($c2,$c1)),star(addition(multiplication($c1,$c3),multiplication(c($c1),$c4)))),c(addition($c2,$c1))),c($c2)),multiplication(star(multiplication(multiplication(multiplication($c2,$c4),star(multiplication($c1,$c3))),c($c1))),c($c2))).
% 1.74/1.97
% 1.74/1.97 ------------> process sos:
% 1.74/1.97 ** KEPT (pick-wt=3): 15 [] A=A.
% 1.74/1.97 ** KEPT (pick-wt=7): 16 [] addition(A,B)=addition(B,A).
% 1.74/1.97 ** KEPT (pick-wt=11): 18 [copy,17,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.74/1.97 ---> New Demodulator: 19 [new_demod,18] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.74/1.97 ** KEPT (pick-wt=5): 20 [] addition(A,zero)=A.
% 1.74/1.97 ---> New Demodulator: 21 [new_demod,20] addition(A,zero)=A.
% 1.74/1.97 ** KEPT (pick-wt=5): 22 [] addition(A,A)=A.
% 1.74/1.97 ---> New Demodulator: 23 [new_demod,22] addition(A,A)=A.
% 1.74/1.97 ** KEPT (pick-wt=11): 25 [copy,24,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.74/1.97 ---> New Demodulator: 26 [new_demod,25] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.74/1.97 ** KEPT (pick-wt=5): 27 [] multiplication(A,one)=A.
% 1.74/1.97 ---> New Demodulator: 28 [new_demod,27] multiplication(A,one)=A.
% 1.74/1.97 ** KEPT (pick-wt=5): 29 [] multiplication(one,A)=A.
% 1.74/1.97 ---> New Demodulator: 30 [new_demod,29] multiplication(one,A)=A.
% 1.74/1.97 ** KEPT (pick-wt=13): 31 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.74/1.97 ---> New Demodulator: 32 [new_demod,31] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.74/1.97 ** KEPT (pick-wt=13): 33 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 28.39/28.60 ---> New Demodulator: 34 [new_demod,33] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 28.39/28.60 ** KEPT (pick-wt=5): 35 [] multiplication(A,zero)=zero.
% 28.39/28.60 ---> New Demodulator: 36 [new_demod,35] multiplication(A,zero)=zero.
% 28.39/28.60 ** KEPT (pick-wt=5): 37 [] multiplication(zero,A)=zero.
% 28.39/28.60 ---> New Demodulator: 38 [new_demod,37] multiplication(zero,A)=zero.
% 28.39/28.60 ** KEPT (pick-wt=9): 39 [] le_q(addition(one,multiplication(A,star(A))),star(A)).
% 28.39/28.60 ** KEPT (pick-wt=9): 40 [] le_q(addition(one,multiplication(star(A),A)),star(A)).
% 28.39/28.60 ** KEPT (pick-wt=6): 41 [] test(A)|c(A)=zero.
% 28.39/28.60 ** KEPT (pick-wt=2): 42 [] test($c2).
% 28.39/28.60 ** KEPT (pick-wt=2): 43 [] test($c1).
% 28.39/28.60 Following clause subsumed by 15 during input processing: 0 [copy,15,flip.1] A=A.
% 28.39/28.60 Following clause subsumed by 16 during input processing: 0 [copy,16,flip.1] addition(A,B)=addition(B,A).
% 28.39/28.60 >>>> Starting back demodulation with 19.
% 28.39/28.60 >>>> Starting back demodulation with 21.
% 28.39/28.60 >>>> Starting back demodulation with 23.
% 28.39/28.60 >> back demodulating 14 with 23.
% 28.39/28.60 >>>> Starting back demodulation with 26.
% 28.39/28.60 >> back demodulating 13 with 26.
% 28.39/28.60 >>>> Starting back demodulation with 28.
% 28.39/28.60 >>>> Starting back demodulation with 30.
% 28.39/28.60 >>>> Starting back demodulation with 32.
% 28.39/28.60 >>>> Starting back demodulation with 34.
% 28.39/28.60 >>>> Starting back demodulation with 36.
% 28.39/28.60 >>>> Starting back demodulation with 38.
% 28.39/28.60
% 28.39/28.60 ======= end of input processing =======
% 28.39/28.60
% 28.39/28.60 =========== start of search ===========
% 28.39/28.60
% 28.39/28.60
% 28.39/28.60 Resetting weight limit to 7.
% 28.39/28.60
% 28.39/28.60
% 28.39/28.60 Resetting weight limit to 7.
% 28.39/28.60
% 28.39/28.60 sos_size=1661
% 28.39/28.60
% 28.39/28.60 Search stopped because sos empty.
% 28.39/28.60
% 28.39/28.60
% 28.39/28.60 Search stopped because sos empty.
% 28.39/28.60
% 28.39/28.60 ============ end of search ============
% 28.39/28.60
% 28.39/28.60 -------------- statistics -------------
% 28.39/28.60 clauses given 1714
% 28.39/28.60 clauses generated 1280053
% 28.39/28.60 clauses kept 2510
% 28.39/28.60 clauses forward subsumed 49385
% 28.39/28.60 clauses back subsumed 639
% 28.39/28.60 Kbytes malloced 5859
% 28.39/28.60
% 28.39/28.60 ----------- times (seconds) -----------
% 28.39/28.60 user CPU time 26.63 (0 hr, 0 min, 26 sec)
% 28.39/28.60 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 28.39/28.60 wall-clock time 28 (0 hr, 0 min, 28 sec)
% 28.39/28.60
% 28.39/28.60 Process 9917 finished Wed Jul 27 06:52:35 2022
% 28.39/28.60 Otter interrupted
% 28.39/28.60 PROOF NOT FOUND
%------------------------------------------------------------------------------