TSTP Solution File: KLE179+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE179+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 29.55s 29.80s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE179+1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.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 06:32:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.80/2.02 ----- Otter 3.3f, August 2004 -----
% 1.80/2.02 The process was started by sandbox on n018.cluster.edu,
% 1.80/2.02 Wed Jul 27 06:32:16 2022
% 1.80/2.02 The command was "./otter". The process ID is 32435.
% 1.80/2.02
% 1.80/2.02 set(prolog_style_variables).
% 1.80/2.02 set(auto).
% 1.80/2.02 dependent: set(auto1).
% 1.80/2.02 dependent: set(process_input).
% 1.80/2.02 dependent: clear(print_kept).
% 1.80/2.02 dependent: clear(print_new_demod).
% 1.80/2.02 dependent: clear(print_back_demod).
% 1.80/2.02 dependent: clear(print_back_sub).
% 1.80/2.02 dependent: set(control_memory).
% 1.80/2.02 dependent: assign(max_mem, 12000).
% 1.80/2.02 dependent: assign(pick_given_ratio, 4).
% 1.80/2.02 dependent: assign(stats_level, 1).
% 1.80/2.02 dependent: assign(max_seconds, 10800).
% 1.80/2.02 clear(print_given).
% 1.80/2.02
% 1.80/2.02 formula_list(usable).
% 1.80/2.02 all A (A=A).
% 1.80/2.02 all A B (addition(A,B)=addition(B,A)).
% 1.80/2.02 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.80/2.02 all A (addition(A,zero)=A).
% 1.80/2.02 all A (addition(A,A)=A).
% 1.80/2.02 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.80/2.02 all A (multiplication(A,one)=A).
% 1.80/2.02 all A (multiplication(one,A)=A).
% 1.80/2.02 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.80/2.02 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.80/2.02 all A (multiplication(A,zero)=zero).
% 1.80/2.02 all A (multiplication(zero,A)=zero).
% 1.80/2.02 all A B (le_q(A,B)<->addition(A,B)=B).
% 1.80/2.02 all A le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.80/2.02 all A le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.80/2.02 all A B C (le_q(addition(multiplication(A,B),C),B)->le_q(multiplication(star(A),C),B)).
% 1.80/2.02 all A B C (le_q(addition(multiplication(A,B),C),A)->le_q(multiplication(C,star(B)),A)).
% 1.80/2.02 all A (multiplication(A,omega(A))=omega(A)).
% 1.80/2.02 all A B C (le_q(A,addition(multiplication(B,A),C))->le_q(A,addition(omega(B),multiplication(star(B),C)))).
% 1.80/2.02 all X0 (test(X0)<-> (exists X1 complement(X1,X0))).
% 1.80/2.02 all X0 X1 (complement(X1,X0)<->multiplication(X0,X1)=zero&multiplication(X1,X0)=zero&addition(X0,X1)=one).
% 1.80/2.02 all X0 X1 (test(X0)-> (c(X0)=X1<->complement(X0,X1))).
% 1.80/2.02 all X0 (-test(X0)->c(X0)=zero).
% 1.80/2.02 all X0 X1 (test(X0)&test(X1)->c(addition(X0,X1))=multiplication(c(X0),c(X1))).
% 1.80/2.02 all X0 X1 (test(X0)&test(X1)->c(multiplication(X0,X1))=addition(c(X0),c(X1))).
% 1.80/2.02 all X0 X1 X2 (ismeet(X2,X0,X1)<->le_q(X2,X0)&le_q(X2,X1)& (all X3 (le_q(X3,X0)&le_q(X3,X1)->le_q(X3,X2)))).
% 1.80/2.02 all X0 X1 X2 (ismeetu(X2,X0,X1)<-> (all X3 (le_q(X3,X0)&le_q(X3,X1)<->le_q(X3,X2)))).
% 1.80/2.02 end_of_list.
% 1.80/2.02
% 1.80/2.02 -------> usable clausifies to:
% 1.80/2.02
% 1.80/2.02 list(usable).
% 1.80/2.02 0 [] A=A.
% 1.80/2.02 0 [] addition(A,B)=addition(B,A).
% 1.80/2.02 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.80/2.02 0 [] addition(A,zero)=A.
% 1.80/2.02 0 [] addition(A,A)=A.
% 1.80/2.02 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.80/2.02 0 [] multiplication(A,one)=A.
% 1.80/2.02 0 [] multiplication(one,A)=A.
% 1.80/2.02 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.80/2.02 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.80/2.02 0 [] multiplication(A,zero)=zero.
% 1.80/2.02 0 [] multiplication(zero,A)=zero.
% 1.80/2.02 0 [] -le_q(A,B)|addition(A,B)=B.
% 1.80/2.02 0 [] le_q(A,B)|addition(A,B)!=B.
% 1.80/2.02 0 [] le_q(addition(one,multiplication(A,star(A))),star(A)).
% 1.80/2.02 0 [] le_q(addition(one,multiplication(star(A),A)),star(A)).
% 1.80/2.02 0 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.80/2.02 0 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.80/2.02 0 [] multiplication(A,omega(A))=omega(A).
% 1.80/2.02 0 [] -le_q(A,addition(multiplication(B,A),C))|le_q(A,addition(omega(B),multiplication(star(B),C))).
% 1.80/2.02 0 [] -test(X0)|complement($f1(X0),X0).
% 1.80/2.02 0 [] test(X0)| -complement(X1,X0).
% 1.80/2.02 0 [] -complement(X1,X0)|multiplication(X0,X1)=zero.
% 1.80/2.02 0 [] -complement(X1,X0)|multiplication(X1,X0)=zero.
% 1.80/2.02 0 [] -complement(X1,X0)|addition(X0,X1)=one.
% 1.80/2.02 0 [] complement(X1,X0)|multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero|addition(X0,X1)!=one.
% 1.80/2.02 0 [] -test(X0)|c(X0)!=X1|complement(X0,X1).
% 1.80/2.02 0 [] -test(X0)|c(X0)=X1| -complement(X0,X1).
% 1.80/2.02 0 [] test(X0)|c(X0)=zero.
% 1.80/2.02 0 [] -test(X0)| -test(X1)|c(addition(X0,X1))=multiplication(c(X0),c(X1)).
% 1.80/2.02 0 [] -test(X0)| -test(X1)|c(multiplication(X0,X1))=addition(c(X0),c(X1)).
% 1.80/2.02 0 [] -ismeet(X2,X0,X1)|le_q(X2,X0).
% 1.80/2.02 0 [] -ismeet(X2,X0,X1)|le_q(X2,X1).
% 1.80/2.02 0 [] -ismeet(X2,X0,X1)| -le_q(X3,X0)| -le_q(X3,X1)|le_q(X3,X2).
% 1.80/2.02 0 [] ismeet(X2,X0,X1)| -le_q(X2,X0)| -le_q(X2,X1)|le_q($f2(X0,X1,X2),X0).
% 1.80/2.02 0 [] ismeet(X2,X0,X1)| -le_q(X2,X0)| -le_q(X2,X1)|le_q($f2(X0,X1,X2),X1).
% 1.80/2.02 0 [] ismeet(X2,X0,X1)| -le_q(X2,X0)| -le_q(X2,X1)| -le_q($f2(X0,X1,X2),X2).
% 1.80/2.02 0 [] -ismeetu(X2,X0,X1)| -le_q(X3,X0)| -le_q(X3,X1)|le_q(X3,X2).
% 1.80/2.02 0 [] -ismeetu(X2,X0,X1)|le_q(X3,X0)| -le_q(X3,X2).
% 1.80/2.02 0 [] -ismeetu(X2,X0,X1)|le_q(X3,X1)| -le_q(X3,X2).
% 1.80/2.02 0 [] ismeetu(X2,X0,X1)|le_q($f3(X0,X1,X2),X0)|le_q($f3(X0,X1,X2),X2).
% 1.80/2.02 0 [] ismeetu(X2,X0,X1)|le_q($f3(X0,X1,X2),X1)|le_q($f3(X0,X1,X2),X2).
% 1.80/2.02 0 [] ismeetu(X2,X0,X1)| -le_q($f3(X0,X1,X2),X0)| -le_q($f3(X0,X1,X2),X1)| -le_q($f3(X0,X1,X2),X2).
% 1.80/2.02 end_of_list.
% 1.80/2.02
% 1.80/2.02 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.80/2.02
% 1.80/2.02 This ia a non-Horn set with equality. The strategy will be
% 1.80/2.02 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.80/2.02 deletion, with positive clauses in sos and nonpositive
% 1.80/2.02 clauses in usable.
% 1.80/2.02
% 1.80/2.02 dependent: set(knuth_bendix).
% 1.80/2.02 dependent: set(anl_eq).
% 1.80/2.02 dependent: set(para_from).
% 1.80/2.02 dependent: set(para_into).
% 1.80/2.02 dependent: clear(para_from_right).
% 1.80/2.02 dependent: clear(para_into_right).
% 1.80/2.02 dependent: set(para_from_vars).
% 1.80/2.02 dependent: set(eq_units_both_ways).
% 1.80/2.02 dependent: set(dynamic_demod_all).
% 1.80/2.02 dependent: set(dynamic_demod).
% 1.80/2.02 dependent: set(order_eq).
% 1.80/2.02 dependent: set(back_demod).
% 1.80/2.02 dependent: set(lrpo).
% 1.80/2.02 dependent: set(hyper_res).
% 1.80/2.02 dependent: set(unit_deletion).
% 1.80/2.02 dependent: set(factor).
% 1.80/2.02
% 1.80/2.02 ------------> process usable:
% 1.80/2.02 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 1.80/2.02 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 1.80/2.02 ** KEPT (pick-wt=13): 3 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B).
% 1.80/2.02 ** KEPT (pick-wt=13): 4 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A).
% 1.80/2.02 ** KEPT (pick-wt=16): 5 [] -le_q(A,addition(multiplication(B,A),C))|le_q(A,addition(omega(B),multiplication(star(B),C))).
% 1.80/2.02 ** KEPT (pick-wt=6): 6 [] -test(A)|complement($f1(A),A).
% 1.80/2.02 ** KEPT (pick-wt=5): 7 [] test(A)| -complement(B,A).
% 1.80/2.02 ** KEPT (pick-wt=8): 8 [] -complement(A,B)|multiplication(B,A)=zero.
% 1.80/2.02 ** KEPT (pick-wt=8): 9 [] -complement(A,B)|multiplication(A,B)=zero.
% 1.80/2.02 ** KEPT (pick-wt=8): 10 [] -complement(A,B)|addition(B,A)=one.
% 1.80/2.02 ** KEPT (pick-wt=18): 11 [] complement(A,B)|multiplication(B,A)!=zero|multiplication(A,B)!=zero|addition(B,A)!=one.
% 1.80/2.02 ** KEPT (pick-wt=9): 12 [] -test(A)|c(A)!=B|complement(A,B).
% 1.80/2.02 ** KEPT (pick-wt=9): 13 [] -test(A)|c(A)=B| -complement(A,B).
% 1.80/2.02 ** KEPT (pick-wt=14): 14 [] -test(A)| -test(B)|c(addition(A,B))=multiplication(c(A),c(B)).
% 1.80/2.02 ** KEPT (pick-wt=14): 15 [] -test(A)| -test(B)|c(multiplication(A,B))=addition(c(A),c(B)).
% 1.80/2.02 ** KEPT (pick-wt=7): 16 [] -ismeet(A,B,C)|le_q(A,B).
% 1.80/2.02 ** KEPT (pick-wt=7): 17 [] -ismeet(A,B,C)|le_q(A,C).
% 1.80/2.02 ** KEPT (pick-wt=13): 18 [] -ismeet(A,B,C)| -le_q(D,B)| -le_q(D,C)|le_q(D,A).
% 1.80/2.02 ** KEPT (pick-wt=16): 19 [] ismeet(A,B,C)| -le_q(A,B)| -le_q(A,C)|le_q($f2(B,C,A),B).
% 1.80/2.02 ** KEPT (pick-wt=16): 20 [] ismeet(A,B,C)| -le_q(A,B)| -le_q(A,C)|le_q($f2(B,C,A),C).
% 1.80/2.02 ** KEPT (pick-wt=16): 21 [] ismeet(A,B,C)| -le_q(A,B)| -le_q(A,C)| -le_q($f2(B,C,A),A).
% 1.80/2.02 ** KEPT (pick-wt=13): 22 [] -ismeetu(A,B,C)| -le_q(D,B)| -le_q(D,C)|le_q(D,A).
% 1.80/2.02 ** KEPT (pick-wt=10): 23 [] -ismeetu(A,B,C)|le_q(D,B)| -le_q(D,A).
% 1.80/2.02 ** KEPT (pick-wt=10): 24 [] -ismeetu(A,B,C)|le_q(D,C)| -le_q(D,A).
% 1.80/2.02 ** KEPT (pick-wt=22): 25 [] ismeetu(A,B,C)| -le_q($f3(B,C,A),B)| -le_q($f3(B,C,A),C)| -le_q($f3(B,C,A),A).
% 1.80/2.02
% 1.80/2.02 ------------> process sos:
% 1.80/2.02 ** KEPT (pick-wt=3): 37 [] A=A.
% 1.80/2.02 ** KEPT (pick-wt=7): 38 [] addition(A,B)=addition(B,A).
% 1.80/2.02 ** KEPT (pick-wt=11): 40 [copy,39,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.80/2.02 ---> New Demodulator: 41 [new_demod,40] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.80/2.02 ** KEPT (pick-wt=5): 42 [] addition(A,zero)=A.
% 1.80/2.02 ---> New Demodulator: 43 [new_demod,42] addition(A,zero)=A.
% 1.80/2.02 ** KEPT (pick-wt=5): 44 [] addition(A,A)=A.
% 1.80/2.02 ---> New Demodulator: 45 [new_demod,44] addition(A,A)=A.
% 1.80/2.02 ** KEPT (pick-wt=11): 47 [copy,46,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.80/2.02 ---> New Demodulator: 48 [new_demod,47] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 29.55/29.80 ** KEPT (pick-wt=5): 49 [] multiplication(A,one)=A.
% 29.55/29.80 ---> New Demodulator: 50 [new_demod,49] multiplication(A,one)=A.
% 29.55/29.80 ** KEPT (pick-wt=5): 51 [] multiplication(one,A)=A.
% 29.55/29.80 ---> New Demodulator: 52 [new_demod,51] multiplication(one,A)=A.
% 29.55/29.80 ** KEPT (pick-wt=13): 53 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 29.55/29.80 ---> New Demodulator: 54 [new_demod,53] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 29.55/29.80 ** KEPT (pick-wt=13): 55 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 29.55/29.80 ---> New Demodulator: 56 [new_demod,55] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 29.55/29.80 ** KEPT (pick-wt=5): 57 [] multiplication(A,zero)=zero.
% 29.55/29.80 ---> New Demodulator: 58 [new_demod,57] multiplication(A,zero)=zero.
% 29.55/29.80 ** KEPT (pick-wt=5): 59 [] multiplication(zero,A)=zero.
% 29.55/29.80 ---> New Demodulator: 60 [new_demod,59] multiplication(zero,A)=zero.
% 29.55/29.80 ** KEPT (pick-wt=9): 61 [] le_q(addition(one,multiplication(A,star(A))),star(A)).
% 29.55/29.80 ** KEPT (pick-wt=9): 62 [] le_q(addition(one,multiplication(star(A),A)),star(A)).
% 29.55/29.80 ** KEPT (pick-wt=7): 63 [] multiplication(A,omega(A))=omega(A).
% 29.55/29.80 ---> New Demodulator: 64 [new_demod,63] multiplication(A,omega(A))=omega(A).
% 29.55/29.80 ** KEPT (pick-wt=6): 65 [] test(A)|c(A)=zero.
% 29.55/29.80 ** KEPT (pick-wt=16): 66 [] ismeetu(A,B,C)|le_q($f3(B,C,A),B)|le_q($f3(B,C,A),A).
% 29.55/29.80 ** KEPT (pick-wt=16): 67 [] ismeetu(A,B,C)|le_q($f3(B,C,A),C)|le_q($f3(B,C,A),A).
% 29.55/29.80 Following clause subsumed by 37 during input processing: 0 [copy,37,flip.1] A=A.
% 29.55/29.80 Following clause subsumed by 38 during input processing: 0 [copy,38,flip.1] addition(A,B)=addition(B,A).
% 29.55/29.80 >>>> Starting back demodulation with 41.
% 29.55/29.80 >>>> Starting back demodulation with 43.
% 29.55/29.80 >>>> Starting back demodulation with 45.
% 29.55/29.80 >> back demodulating 28 with 45.
% 29.55/29.80 >> back demodulating 27 with 45.
% 29.55/29.80 >> back demodulating 26 with 45.
% 29.55/29.80 >>>> Starting back demodulation with 48.
% 29.55/29.80 >>>> Starting back demodulation with 50.
% 29.55/29.80 >>>> Starting back demodulation with 52.
% 29.55/29.80 >>>> Starting back demodulation with 54.
% 29.55/29.80 >>>> Starting back demodulation with 56.
% 29.55/29.80 >>>> Starting back demodulation with 58.
% 29.55/29.80 >>>> Starting back demodulation with 60.
% 29.55/29.80 >>>> Starting back demodulation with 64.
% 29.55/29.80
% 29.55/29.80 ======= end of input processing =======
% 29.55/29.80
% 29.55/29.80 =========== start of search ===========
% 29.55/29.80
% 29.55/29.80
% 29.55/29.80 Resetting weight limit to 7.
% 29.55/29.80
% 29.55/29.80
% 29.55/29.80 Resetting weight limit to 7.
% 29.55/29.80
% 29.55/29.80 sos_size=1155
% 29.55/29.80
% 29.55/29.80 Search stopped because sos empty.
% 29.55/29.80
% 29.55/29.80
% 29.55/29.80 Search stopped because sos empty.
% 29.55/29.80
% 29.55/29.80 ============ end of search ============
% 29.55/29.80
% 29.55/29.80 -------------- statistics -------------
% 29.55/29.80 clauses given 1078
% 29.55/29.80 clauses generated 1194877
% 29.55/29.80 clauses kept 1757
% 29.55/29.80 clauses forward subsumed 17402
% 29.55/29.80 clauses back subsumed 664
% 29.55/29.80 Kbytes malloced 6835
% 29.55/29.80
% 29.55/29.80 ----------- times (seconds) -----------
% 29.55/29.80 user CPU time 27.78 (0 hr, 0 min, 27 sec)
% 29.55/29.80 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 29.55/29.80 wall-clock time 29 (0 hr, 0 min, 29 sec)
% 29.55/29.80
% 29.55/29.80 Process 32435 finished Wed Jul 27 06:32:45 2022
% 29.55/29.80 Otter interrupted
% 29.55/29.80 PROOF NOT FOUND
%------------------------------------------------------------------------------