TSTP Solution File: KLE028+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE028+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 13:00:33 EDT 2022
% Result : Unknown 73.58s 73.80s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KLE028+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % 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 06:49:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.79/1.99 ----- Otter 3.3f, August 2004 -----
% 1.79/1.99 The process was started by sandbox on n016.cluster.edu,
% 1.79/1.99 Wed Jul 27 06:49:07 2022
% 1.79/1.99 The command was "./otter". The process ID is 7201.
% 1.79/1.99
% 1.79/1.99 set(prolog_style_variables).
% 1.79/1.99 set(auto).
% 1.79/1.99 dependent: set(auto1).
% 1.79/1.99 dependent: set(process_input).
% 1.79/1.99 dependent: clear(print_kept).
% 1.79/1.99 dependent: clear(print_new_demod).
% 1.79/1.99 dependent: clear(print_back_demod).
% 1.79/1.99 dependent: clear(print_back_sub).
% 1.79/1.99 dependent: set(control_memory).
% 1.79/1.99 dependent: assign(max_mem, 12000).
% 1.79/1.99 dependent: assign(pick_given_ratio, 4).
% 1.79/1.99 dependent: assign(stats_level, 1).
% 1.79/1.99 dependent: assign(max_seconds, 10800).
% 1.79/1.99 clear(print_given).
% 1.79/1.99
% 1.79/1.99 formula_list(usable).
% 1.79/1.99 all A (A=A).
% 1.79/1.99 all A B (addition(A,B)=addition(B,A)).
% 1.79/1.99 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.79/1.99 all A (addition(A,zero)=A).
% 1.79/1.99 all A (addition(A,A)=A).
% 1.79/1.99 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.79/1.99 all A (multiplication(A,one)=A).
% 1.79/1.99 all A (multiplication(one,A)=A).
% 1.79/1.99 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.79/1.99 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.79/1.99 all A (multiplication(A,zero)=zero).
% 1.79/1.99 all A (multiplication(zero,A)=zero).
% 1.79/1.99 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.79/1.99 all X0 (test(X0)<-> (exists X1 complement(X1,X0))).
% 1.79/1.99 all X0 X1 (complement(X1,X0)<->multiplication(X0,X1)=zero&multiplication(X1,X0)=zero&addition(X0,X1)=one).
% 1.79/1.99 all X0 X1 (test(X0)-> (c(X0)=X1<->complement(X0,X1))).
% 1.79/1.99 all X0 (-test(X0)->c(X0)=zero).
% 1.79/1.99 -(all X0 X1 X2 X3 X4 X5 (test(X4)&test(X5)->le_q(addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3)))),addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))))&le_q(addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))),addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3))))))).
% 1.79/1.99 end_of_list.
% 1.79/1.99
% 1.79/1.99 -------> usable clausifies to:
% 1.79/1.99
% 1.79/1.99 list(usable).
% 1.79/1.99 0 [] A=A.
% 1.79/1.99 0 [] addition(A,B)=addition(B,A).
% 1.79/1.99 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.79/1.99 0 [] addition(A,zero)=A.
% 1.79/1.99 0 [] addition(A,A)=A.
% 1.79/1.99 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.79/1.99 0 [] multiplication(A,one)=A.
% 1.79/1.99 0 [] multiplication(one,A)=A.
% 1.79/1.99 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.79/1.99 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.79/1.99 0 [] multiplication(A,zero)=zero.
% 1.79/1.99 0 [] multiplication(zero,A)=zero.
% 1.79/1.99 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.79/1.99 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.79/1.99 0 [] -test(X0)|complement($f1(X0),X0).
% 1.79/1.99 0 [] test(X0)| -complement(X1,X0).
% 1.79/1.99 0 [] -complement(X1,X0)|multiplication(X0,X1)=zero.
% 1.79/1.99 0 [] -complement(X1,X0)|multiplication(X1,X0)=zero.
% 1.79/1.99 0 [] -complement(X1,X0)|addition(X0,X1)=one.
% 1.79/1.99 0 [] complement(X1,X0)|multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero|addition(X0,X1)!=one.
% 1.79/1.99 0 [] -test(X0)|c(X0)!=X1|complement(X0,X1).
% 1.79/1.99 0 [] -test(X0)|c(X0)=X1| -complement(X0,X1).
% 1.79/1.99 0 [] test(X0)|c(X0)=zero.
% 1.79/1.99 0 [] test($c2).
% 1.79/1.99 0 [] test($c1).
% 1.79/1.99 0 [] -le_q(addition(multiplication($c2,addition(multiplication($c1,$c6),multiplication(c($c1),$c5))),multiplication(c($c2),addition(multiplication($c1,$c4),multiplication(c($c1),$c3)))),addition(multiplication($c1,addition(multiplication($c2,$c6),multiplication(c($c2),$c4))),multiplication(c($c1),addition(multiplication($c2,$c5),multiplication(c($c2),$c3)))))| -le_q(addition(multiplication($c1,addition(multiplication($c2,$c6),multiplication(c($c2),$c4))),multiplication(c($c1),addition(multiplication($c2,$c5),multiplication(c($c2),$c3)))),addition(multiplication($c2,addition(multiplication($c1,$c6),multiplication(c($c1),$c5))),multiplication(c($c2),addition(multiplication($c1,$c4),multiplication(c($c1),$c3))))).
% 1.79/1.99 end_of_list.
% 1.79/1.99
% 1.79/1.99 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.79/1.99
% 1.79/1.99 This ia a non-Horn set with equality. The strategy will be
% 1.79/1.99 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.79/1.99 deletion, with positive clauses in sos and nonpositive
% 1.79/1.99 clauses in usable.
% 1.79/1.99
% 1.79/1.99 dependent: set(knuth_bendix).
% 1.79/1.99 dependent: set(anl_eq).
% 1.79/1.99 dependent: set(para_from).
% 1.79/1.99 dependent: set(para_into).
% 1.79/1.99 dependent: clear(para_from_right).
% 1.79/1.99 dependent: clear(para_into_right).
% 1.79/1.99 dependent: set(para_from_vars).
% 1.79/1.99 dependent: set(eq_units_both_ways).
% 1.79/1.99 dependent: set(dynamic_demod_all).
% 1.79/1.99 dependent: set(dynamic_demod).
% 1.79/1.99 dependent: set(order_eq).
% 1.79/1.99 dependent: set(back_demod).
% 1.79/1.99 dependent: set(lrpo).
% 1.79/1.99 dependent: set(hyper_res).
% 1.79/1.99 dependent: set(unit_deletion).
% 1.79/1.99 dependent: set(factor).
% 1.79/1.99
% 1.79/1.99 ------------> process usable:
% 1.79/1.99 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 1.79/1.99 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 1.79/1.99 ** KEPT (pick-wt=6): 3 [] -test(A)|complement($f1(A),A).
% 1.79/1.99 ** KEPT (pick-wt=5): 4 [] test(A)| -complement(B,A).
% 1.79/1.99 ** KEPT (pick-wt=8): 5 [] -complement(A,B)|multiplication(B,A)=zero.
% 1.79/1.99 ** KEPT (pick-wt=8): 6 [] -complement(A,B)|multiplication(A,B)=zero.
% 1.79/1.99 ** KEPT (pick-wt=8): 7 [] -complement(A,B)|addition(B,A)=one.
% 1.79/1.99 ** KEPT (pick-wt=18): 8 [] complement(A,B)|multiplication(B,A)!=zero|multiplication(A,B)!=zero|addition(B,A)!=one.
% 1.79/1.99 ** KEPT (pick-wt=9): 9 [] -test(A)|c(A)!=B|complement(A,B).
% 1.79/1.99 ** KEPT (pick-wt=9): 10 [] -test(A)|c(A)=B| -complement(A,B).
% 1.79/1.99 ** KEPT (pick-wt=90): 11 [] -le_q(addition(multiplication($c2,addition(multiplication($c1,$c6),multiplication(c($c1),$c5))),multiplication(c($c2),addition(multiplication($c1,$c4),multiplication(c($c1),$c3)))),addition(multiplication($c1,addition(multiplication($c2,$c6),multiplication(c($c2),$c4))),multiplication(c($c1),addition(multiplication($c2,$c5),multiplication(c($c2),$c3)))))| -le_q(addition(multiplication($c1,addition(multiplication($c2,$c6),multiplication(c($c2),$c4))),multiplication(c($c1),addition(multiplication($c2,$c5),multiplication(c($c2),$c3)))),addition(multiplication($c2,addition(multiplication($c1,$c6),multiplication(c($c1),$c5))),multiplication(c($c2),addition(multiplication($c1,$c4),multiplication(c($c1),$c3))))).
% 1.79/1.99
% 1.79/1.99 ------------> process sos:
% 1.79/1.99 ** KEPT (pick-wt=3): 13 [] A=A.
% 1.79/1.99 ** KEPT (pick-wt=7): 14 [] addition(A,B)=addition(B,A).
% 1.79/1.99 ** KEPT (pick-wt=11): 16 [copy,15,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.79/1.99 ---> New Demodulator: 17 [new_demod,16] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.79/1.99 ** KEPT (pick-wt=5): 18 [] addition(A,zero)=A.
% 1.79/1.99 ---> New Demodulator: 19 [new_demod,18] addition(A,zero)=A.
% 1.79/1.99 ** KEPT (pick-wt=5): 20 [] addition(A,A)=A.
% 1.79/1.99 ---> New Demodulator: 21 [new_demod,20] addition(A,A)=A.
% 1.79/1.99 ** KEPT (pick-wt=11): 23 [copy,22,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.79/1.99 ---> New Demodulator: 24 [new_demod,23] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.79/1.99 ** KEPT (pick-wt=5): 25 [] multiplication(A,one)=A.
% 1.79/1.99 ---> New Demodulator: 26 [new_demod,25] multiplication(A,one)=A.
% 1.79/1.99 ** KEPT (pick-wt=5): 27 [] multiplication(one,A)=A.
% 1.79/1.99 ---> New Demodulator: 28 [new_demod,27] multiplication(one,A)=A.
% 1.79/1.99 ** KEPT (pick-wt=13): 29 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.79/1.99 ---> New Demodulator: 30 [new_demod,29] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.79/1.99 ** KEPT (pick-wt=13): 31 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.79/1.99 ---> New Demodulator: 32 [new_demod,31] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.79/1.99 ** KEPT (pick-wt=5): 33 [] multiplication(A,zero)=zero.
% 1.79/1.99 ---> New Demodulator: 34 [new_demod,33] multiplication(A,zero)=zero.
% 1.79/1.99 ** KEPT (pick-wt=5): 35 [] multiplication(zero,A)=zero.
% 1.79/1.99 ---> New Demodulator: 36 [new_demod,35] multiplication(zero,A)=zero.
% 1.79/1.99 ** KEPT (pick-wt=6): 37 [] test(A)|c(A)=zero.
% 1.79/1.99 ** KEPT (pick-wt=2): 38 [] test($c2).
% 1.79/1.99 ** KEPT (pick-wt=2): 39 [] test($c1).
% 1.79/1.99 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] A=A.
% 73.58/73.80 Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] addition(A,B)=addition(B,A).
% 73.58/73.80 >>>> Starting back demodulation with 17.
% 73.58/73.80 >>>> Starting back demodulation with 19.
% 73.58/73.80 >>>> Starting back demodulation with 21.
% 73.58/73.80 >> back demodulating 12 with 21.
% 73.58/73.80 >>>> Starting back demodulation with 24.
% 73.58/73.80 >>>> Starting back demodulation with 26.
% 73.58/73.80 >>>> Starting back demodulation with 28.
% 73.58/73.80 >>>> Starting back demodulation with 30.
% 73.58/73.80 >> back demodulating 11 with 30.
% 73.58/73.80 >>>> Starting back demodulation with 32.
% 73.58/73.80 >>>> Starting back demodulation with 34.
% 73.58/73.80 >>>> Starting back demodulation with 36.
% 73.58/73.80
% 73.58/73.80 ======= end of input processing =======
% 73.58/73.80
% 73.58/73.80 =========== start of search ===========
% 73.58/73.80
% 73.58/73.80
% 73.58/73.80 Resetting weight limit to 7.
% 73.58/73.80
% 73.58/73.80
% 73.58/73.80 Resetting weight limit to 7.
% 73.58/73.80
% 73.58/73.80 sos_size=1831
% 73.58/73.80
% 73.58/73.80 Search stopped because sos empty.
% 73.58/73.80
% 73.58/73.80
% 73.58/73.80 Search stopped because sos empty.
% 73.58/73.80
% 73.58/73.80 ============ end of search ============
% 73.58/73.80
% 73.58/73.80 -------------- statistics -------------
% 73.58/73.80 clauses given 1764
% 73.58/73.80 clauses generated 2555282
% 73.58/73.80 clauses kept 2694
% 73.58/73.80 clauses forward subsumed 40648
% 73.58/73.80 clauses back subsumed 601
% 73.58/73.80 Kbytes malloced 5859
% 73.58/73.80
% 73.58/73.80 ----------- times (seconds) -----------
% 73.58/73.80 user CPU time 71.79 (0 hr, 1 min, 11 sec)
% 73.58/73.80 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 73.58/73.80 wall-clock time 73 (0 hr, 1 min, 13 sec)
% 73.58/73.80
% 73.58/73.80 Process 7201 finished Wed Jul 27 06:50:20 2022
% 73.58/73.80 Otter interrupted
% 73.58/73.80 PROOF NOT FOUND
%------------------------------------------------------------------------------