TSTP Solution File: KLE049+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE049+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 24.81s 25.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE049+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.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 06:40:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.71/1.94 ----- Otter 3.3f, August 2004 -----
% 1.71/1.94 The process was started by sandbox on n029.cluster.edu,
% 1.71/1.94 Wed Jul 27 06:40:59 2022
% 1.71/1.94 The command was "./otter". The process ID is 31588.
% 1.71/1.94
% 1.71/1.94 set(prolog_style_variables).
% 1.71/1.94 set(auto).
% 1.71/1.94 dependent: set(auto1).
% 1.71/1.94 dependent: set(process_input).
% 1.71/1.94 dependent: clear(print_kept).
% 1.71/1.94 dependent: clear(print_new_demod).
% 1.71/1.94 dependent: clear(print_back_demod).
% 1.71/1.94 dependent: clear(print_back_sub).
% 1.71/1.94 dependent: set(control_memory).
% 1.71/1.94 dependent: assign(max_mem, 12000).
% 1.71/1.94 dependent: assign(pick_given_ratio, 4).
% 1.71/1.94 dependent: assign(stats_level, 1).
% 1.71/1.94 dependent: assign(max_seconds, 10800).
% 1.71/1.94 clear(print_given).
% 1.71/1.94
% 1.71/1.94 formula_list(usable).
% 1.71/1.94 all A (A=A).
% 1.71/1.94 all A B (addition(A,B)=addition(B,A)).
% 1.71/1.94 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.71/1.94 all A (addition(A,zero)=A).
% 1.71/1.94 all A (addition(A,A)=A).
% 1.71/1.94 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.71/1.94 all A (multiplication(A,one)=A).
% 1.71/1.94 all A (multiplication(one,A)=A).
% 1.71/1.94 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.71/1.94 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.71/1.94 all A (multiplication(A,zero)=zero).
% 1.71/1.94 all A (multiplication(zero,A)=zero).
% 1.71/1.94 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.71/1.94 all A le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.71/1.94 all A le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.71/1.94 all A B C (le_q(addition(multiplication(A,B),C),B)->le_q(multiplication(star(A),C),B)).
% 1.71/1.94 all A B C (le_q(addition(multiplication(A,B),C),A)->le_q(multiplication(C,star(B)),A)).
% 1.71/1.94 all X0 (test(X0)<-> (exists X1 complement(X1,X0))).
% 1.71/1.94 all X0 X1 (complement(X1,X0)<->multiplication(X0,X1)=zero&multiplication(X1,X0)=zero&addition(X0,X1)=one).
% 1.71/1.94 all X0 X1 (test(X0)-> (c(X0)=X1<->complement(X0,X1))).
% 1.71/1.94 all X0 (-test(X0)->c(X0)=zero).
% 1.71/1.94 all X0 X1 (test(X0)&test(X1)->c(addition(X0,X1))=multiplication(c(X0),c(X1))).
% 1.71/1.94 all X0 X1 (test(X0)&test(X1)->c(multiplication(X0,X1))=addition(c(X0),c(X1))).
% 1.71/1.94 -(all X0 X1 X2 (test(X1)&test(X2)&le_q(multiplication(multiplication(multiplication(X2,X1),X0),c(X2)),zero)->le_q(multiplication(multiplication(multiplication(X2,star(multiplication(X1,X0))),c(X1)),c(X2)),zero))).
% 1.71/1.94 end_of_list.
% 1.71/1.94
% 1.71/1.94 -------> usable clausifies to:
% 1.71/1.94
% 1.71/1.94 list(usable).
% 1.71/1.94 0 [] A=A.
% 1.71/1.94 0 [] addition(A,B)=addition(B,A).
% 1.71/1.94 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.71/1.94 0 [] addition(A,zero)=A.
% 1.71/1.94 0 [] addition(A,A)=A.
% 1.71/1.94 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.71/1.94 0 [] multiplication(A,one)=A.
% 1.71/1.94 0 [] multiplication(one,A)=A.
% 1.71/1.94 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.71/1.94 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.71/1.94 0 [] multiplication(A,zero)=zero.
% 1.71/1.94 0 [] multiplication(zero,A)=zero.
% 1.71/1.94 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.71/1.94 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.71/1.94 0 [] le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.71/1.94 0 [] le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.71/1.94 0 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.71/1.94 0 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.71/1.94 0 [] -test(X0)|complement($f1(X0),X0).
% 1.71/1.94 0 [] test(X0)| -complement(X1,X0).
% 1.71/1.94 0 [] -complement(X1,X0)|multiplication(X0,X1)=zero.
% 1.71/1.94 0 [] -complement(X1,X0)|multiplication(X1,X0)=zero.
% 1.71/1.94 0 [] -complement(X1,X0)|addition(X0,X1)=one.
% 1.71/1.94 0 [] complement(X1,X0)|multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero|addition(X0,X1)!=one.
% 1.71/1.94 0 [] -test(X0)|c(X0)!=X1|complement(X0,X1).
% 1.71/1.94 0 [] -test(X0)|c(X0)=X1| -complement(X0,X1).
% 1.71/1.94 0 [] test(X0)|c(X0)=zero.
% 1.71/1.94 0 [] -test(X0)| -test(X1)|c(addition(X0,X1))=multiplication(c(X0),c(X1)).
% 1.71/1.94 0 [] -test(X0)| -test(X1)|c(multiplication(X0,X1))=addition(c(X0),c(X1)).
% 1.71/1.94 0 [] test($c2).
% 1.71/1.94 0 [] test($c1).
% 1.71/1.94 0 [] le_q(multiplication(multiplication(multiplication($c1,$c2),$c3),c($c1)),zero).
% 1.71/1.94 0 [] -le_q(multiplication(multiplication(multiplication($c1,star(multiplication($c2,$c3))),c($c2)),c($c1)),zero).
% 1.71/1.94 end_of_list.
% 1.71/1.94
% 1.71/1.94 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.71/1.94
% 1.71/1.94 This ia a non-Horn set with equality. The strategy will be
% 1.71/1.94 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.71/1.94 deletion, with positive clauses in sos and nonpositive
% 1.71/1.94 clauses in usable.
% 1.71/1.94
% 1.71/1.94 dependent: set(knuth_bendix).
% 1.71/1.94 dependent: set(anl_eq).
% 1.71/1.94 dependent: set(para_from).
% 1.71/1.94 dependent: set(para_into).
% 1.71/1.94 dependent: clear(para_from_right).
% 1.71/1.94 dependent: clear(para_into_right).
% 1.71/1.94 dependent: set(para_from_vars).
% 1.71/1.94 dependent: set(eq_units_both_ways).
% 1.71/1.94 dependent: set(dynamic_demod_all).
% 1.71/1.94 dependent: set(dynamic_demod).
% 1.71/1.94 dependent: set(order_eq).
% 1.71/1.94 dependent: set(back_demod).
% 1.71/1.94 dependent: set(lrpo).
% 1.71/1.94 dependent: set(hyper_res).
% 1.71/1.94 dependent: set(unit_deletion).
% 1.71/1.94 dependent: set(factor).
% 1.71/1.94
% 1.71/1.94 ------------> process usable:
% 1.71/1.94 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 1.71/1.94 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 1.71/1.94 ** KEPT (pick-wt=13): 3 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.71/1.94 ** KEPT (pick-wt=13): 4 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.71/1.94 ** KEPT (pick-wt=6): 5 [] -test(A)|complement($f1(A),A).
% 1.71/1.94 ** KEPT (pick-wt=5): 6 [] test(A)| -complement(B,A).
% 1.71/1.94 ** KEPT (pick-wt=8): 7 [] -complement(A,B)|multiplication(B,A)=zero.
% 1.71/1.94 ** KEPT (pick-wt=8): 8 [] -complement(A,B)|multiplication(A,B)=zero.
% 1.71/1.94 ** KEPT (pick-wt=8): 9 [] -complement(A,B)|addition(B,A)=one.
% 1.71/1.94 ** KEPT (pick-wt=18): 10 [] complement(A,B)|multiplication(B,A)!=zero|multiplication(A,B)!=zero|addition(B,A)!=one.
% 1.71/1.94 ** KEPT (pick-wt=9): 11 [] -test(A)|c(A)!=B|complement(A,B).
% 1.71/1.94 ** KEPT (pick-wt=9): 12 [] -test(A)|c(A)=B| -complement(A,B).
% 1.71/1.94 ** KEPT (pick-wt=14): 13 [] -test(A)| -test(B)|c(addition(A,B))=multiplication(c(A),c(B)).
% 1.71/1.94 ** KEPT (pick-wt=14): 14 [] -test(A)| -test(B)|c(multiplication(A,B))=addition(c(A),c(B)).
% 1.71/1.94 ** KEPT (pick-wt=14): 15 [] -le_q(multiplication(multiplication(multiplication($c1,star(multiplication($c2,$c3))),c($c2)),c($c1)),zero).
% 1.71/1.94
% 1.71/1.94 ------------> process sos:
% 1.71/1.94 ** KEPT (pick-wt=3): 19 [] A=A.
% 1.71/1.94 ** KEPT (pick-wt=7): 20 [] addition(A,B)=addition(B,A).
% 1.71/1.94 ** KEPT (pick-wt=11): 22 [copy,21,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.71/1.94 ---> New Demodulator: 23 [new_demod,22] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.71/1.94 ** KEPT (pick-wt=5): 24 [] addition(A,zero)=A.
% 1.71/1.94 ---> New Demodulator: 25 [new_demod,24] addition(A,zero)=A.
% 1.71/1.94 ** KEPT (pick-wt=5): 26 [] addition(A,A)=A.
% 1.71/1.94 ---> New Demodulator: 27 [new_demod,26] addition(A,A)=A.
% 1.71/1.94 ** KEPT (pick-wt=11): 29 [copy,28,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.71/1.94 ---> New Demodulator: 30 [new_demod,29] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.71/1.94 ** KEPT (pick-wt=5): 31 [] multiplication(A,one)=A.
% 1.71/1.94 ---> New Demodulator: 32 [new_demod,31] multiplication(A,one)=A.
% 1.71/1.94 ** KEPT (pick-wt=5): 33 [] multiplication(one,A)=A.
% 1.71/1.94 ---> New Demodulator: 34 [new_demod,33] multiplication(one,A)=A.
% 1.71/1.94 ** KEPT (pick-wt=13): 35 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.71/1.94 ---> New Demodulator: 36 [new_demod,35] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.71/1.94 ** KEPT (pick-wt=13): 37 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.71/1.94 ---> New Demodulator: 38 [new_demod,37] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.71/1.94 ** KEPT (pick-wt=5): 39 [] multiplication(A,zero)=zero.
% 1.71/1.94 ---> New Demodulator: 40 [new_demod,39] multiplication(A,zero)=zero.
% 1.71/1.94 ** KEPT (pick-wt=5): 41 [] multiplication(zero,A)=zero.
% 1.71/1.94 ---> New Demodulator: 42 [new_demod,41] multiplication(zero,A)=zero.
% 1.71/1.94 ** KEPT (pick-wt=9): 43 [] le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.71/1.94 ** KEPT (pick-wt=9): 44 [] le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.71/1.94 ** KEPT (pick-wt=6): 45 [] test(A)|c(A)=zero.
% 1.71/1.94 ** KEPT (pick-wt=2): 46 [] test($c2).
% 1.71/1.94 ** KEPT (pick-wt=2): 47 [] test($c1).
% 1.71/1.94 ** KEPT (pick-wt=10): 49 [copy,48,demod,30,30,30] le_q(multiplication($c1,multiplication($c2,multiplication($c3,c($c1)))),zero).
% 1.71/1.94 Following clause subsumed by 19 during input processing: 0 [copy,19,flip.1] A=A.
% 1.71/1.94 Following clause subsumed by 20 during input processing: 0 [copy,20,flip.1] addition(A,B)=addition(B,A).
% 24.81/25.05 >>>> Starting back demodulation with 23.
% 24.81/25.05 >>>> Starting back demodulation with 25.
% 24.81/25.05 >>>> Starting back demodulation with 27.
% 24.81/25.05 >> back demodulating 18 with 27.
% 24.81/25.05 >> back demodulating 17 with 27.
% 24.81/25.05 >> back demodulating 16 with 27.
% 24.81/25.05 >>>> Starting back demodulation with 30.
% 24.81/25.05 >> back demodulating 15 with 30.
% 24.81/25.05 >>>> Starting back demodulation with 32.
% 24.81/25.05 >>>> Starting back demodulation with 34.
% 24.81/25.05 >>>> Starting back demodulation with 36.
% 24.81/25.05 >>>> Starting back demodulation with 38.
% 24.81/25.05 >>>> Starting back demodulation with 40.
% 24.81/25.05 >>>> Starting back demodulation with 42.
% 24.81/25.05
% 24.81/25.05 ======= end of input processing =======
% 24.81/25.05
% 24.81/25.05 =========== start of search ===========
% 24.81/25.05
% 24.81/25.05
% 24.81/25.05 Resetting weight limit to 7.
% 24.81/25.05
% 24.81/25.05
% 24.81/25.05 Resetting weight limit to 7.
% 24.81/25.05
% 24.81/25.05 sos_size=1681
% 24.81/25.05
% 24.81/25.05
% 24.81/25.05 Resetting weight limit to 4.
% 24.81/25.05
% 24.81/25.05
% 24.81/25.05 Resetting weight limit to 4.
% 24.81/25.05
% 24.81/25.05 sos_size=544
% 24.81/25.05
% 24.81/25.05 Search stopped because sos empty.
% 24.81/25.05
% 24.81/25.05
% 24.81/25.05 Search stopped because sos empty.
% 24.81/25.05
% 24.81/25.05 ============ end of search ============
% 24.81/25.05
% 24.81/25.05 -------------- statistics -------------
% 24.81/25.05 clauses given 1948
% 24.81/25.05 clauses generated 1328124
% 24.81/25.05 clauses kept 2833
% 24.81/25.05 clauses forward subsumed 50494
% 24.81/25.05 clauses back subsumed 876
% 24.81/25.05 Kbytes malloced 6835
% 24.81/25.05
% 24.81/25.05 ----------- times (seconds) -----------
% 24.81/25.05 user CPU time 23.10 (0 hr, 0 min, 23 sec)
% 24.81/25.05 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 24.81/25.05 wall-clock time 25 (0 hr, 0 min, 25 sec)
% 24.81/25.05
% 24.81/25.05 Process 31588 finished Wed Jul 27 06:41:24 2022
% 24.81/25.05 Otter interrupted
% 24.81/25.05 PROOF NOT FOUND
%------------------------------------------------------------------------------