TSTP Solution File: KLE033+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE033+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 126.61s 126.80s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE033+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 06:40:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.04/2.21 ----- Otter 3.3f, August 2004 -----
% 2.04/2.21 The process was started by sandbox2 on n026.cluster.edu,
% 2.04/2.21 Wed Jul 27 06:40:54 2022
% 2.04/2.21 The command was "./otter". The process ID is 27547.
% 2.04/2.21
% 2.04/2.21 set(prolog_style_variables).
% 2.04/2.21 set(auto).
% 2.04/2.21 dependent: set(auto1).
% 2.04/2.21 dependent: set(process_input).
% 2.04/2.21 dependent: clear(print_kept).
% 2.04/2.21 dependent: clear(print_new_demod).
% 2.04/2.21 dependent: clear(print_back_demod).
% 2.04/2.21 dependent: clear(print_back_sub).
% 2.04/2.21 dependent: set(control_memory).
% 2.04/2.21 dependent: assign(max_mem, 12000).
% 2.04/2.21 dependent: assign(pick_given_ratio, 4).
% 2.04/2.21 dependent: assign(stats_level, 1).
% 2.04/2.21 dependent: assign(max_seconds, 10800).
% 2.04/2.21 clear(print_given).
% 2.04/2.21
% 2.04/2.21 formula_list(usable).
% 2.04/2.21 all A (A=A).
% 2.04/2.21 all A B (addition(A,B)=addition(B,A)).
% 2.04/2.21 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 2.04/2.21 all A (addition(A,zero)=A).
% 2.04/2.21 all A (addition(A,A)=A).
% 2.04/2.21 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 2.04/2.21 all A (multiplication(A,one)=A).
% 2.04/2.21 all A (multiplication(one,A)=A).
% 2.04/2.21 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 2.04/2.21 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 2.04/2.21 all A (multiplication(A,zero)=zero).
% 2.04/2.21 all A (multiplication(zero,A)=zero).
% 2.04/2.21 all A B (le_q(A,B)<->addition(A,B)=B).
% 2.04/2.21 all X0 (test(X0)<-> (exists X1 complement(X1,X0))).
% 2.04/2.21 all X0 X1 (complement(X1,X0)<->multiplication(X0,X1)=zero&multiplication(X1,X0)=zero&addition(X0,X1)=one).
% 2.04/2.21 all X0 X1 (test(X0)-> (c(X0)=X1<->complement(X0,X1))).
% 2.04/2.21 all X0 (-test(X0)->c(X0)=zero).
% 2.04/2.21 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)))).
% 2.04/2.21 all X0 X1 X2 (ismeetu(X2,X0,X1)<-> (all X3 (le_q(X3,X0)&le_q(X3,X1)<->le_q(X3,X2)))).
% 2.04/2.21 -(all X0 X1 X2 (test(X2)&test(X1)&ismeet(zero,X1,X2)->ismeet(zero,multiplication(X1,X0),multiplication(X2,X0)))).
% 2.04/2.21 end_of_list.
% 2.04/2.21
% 2.04/2.21 -------> usable clausifies to:
% 2.04/2.21
% 2.04/2.21 list(usable).
% 2.04/2.21 0 [] A=A.
% 2.04/2.21 0 [] addition(A,B)=addition(B,A).
% 2.04/2.21 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 2.04/2.21 0 [] addition(A,zero)=A.
% 2.04/2.21 0 [] addition(A,A)=A.
% 2.04/2.22 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 2.04/2.22 0 [] multiplication(A,one)=A.
% 2.04/2.22 0 [] multiplication(one,A)=A.
% 2.04/2.22 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 2.04/2.22 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 2.04/2.22 0 [] multiplication(A,zero)=zero.
% 2.04/2.22 0 [] multiplication(zero,A)=zero.
% 2.04/2.22 0 [] -le_q(A,B)|addition(A,B)=B.
% 2.04/2.22 0 [] le_q(A,B)|addition(A,B)!=B.
% 2.04/2.22 0 [] -test(X0)|complement($f1(X0),X0).
% 2.04/2.22 0 [] test(X0)| -complement(X1,X0).
% 2.04/2.22 0 [] -complement(X1,X0)|multiplication(X0,X1)=zero.
% 2.04/2.22 0 [] -complement(X1,X0)|multiplication(X1,X0)=zero.
% 2.04/2.22 0 [] -complement(X1,X0)|addition(X0,X1)=one.
% 2.04/2.22 0 [] complement(X1,X0)|multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero|addition(X0,X1)!=one.
% 2.04/2.22 0 [] -test(X0)|c(X0)!=X1|complement(X0,X1).
% 2.04/2.22 0 [] -test(X0)|c(X0)=X1| -complement(X0,X1).
% 2.04/2.22 0 [] test(X0)|c(X0)=zero.
% 2.04/2.22 0 [] -ismeet(X2,X0,X1)|le_q(X2,X0).
% 2.04/2.22 0 [] -ismeet(X2,X0,X1)|le_q(X2,X1).
% 2.04/2.22 0 [] -ismeet(X2,X0,X1)| -le_q(X3,X0)| -le_q(X3,X1)|le_q(X3,X2).
% 2.04/2.22 0 [] ismeet(X2,X0,X1)| -le_q(X2,X0)| -le_q(X2,X1)|le_q($f2(X0,X1,X2),X0).
% 2.04/2.22 0 [] ismeet(X2,X0,X1)| -le_q(X2,X0)| -le_q(X2,X1)|le_q($f2(X0,X1,X2),X1).
% 2.04/2.22 0 [] ismeet(X2,X0,X1)| -le_q(X2,X0)| -le_q(X2,X1)| -le_q($f2(X0,X1,X2),X2).
% 2.04/2.22 0 [] -ismeetu(X2,X0,X1)| -le_q(X3,X0)| -le_q(X3,X1)|le_q(X3,X2).
% 2.04/2.22 0 [] -ismeetu(X2,X0,X1)|le_q(X3,X0)| -le_q(X3,X2).
% 2.04/2.22 0 [] -ismeetu(X2,X0,X1)|le_q(X3,X1)| -le_q(X3,X2).
% 2.04/2.22 0 [] ismeetu(X2,X0,X1)|le_q($f3(X0,X1,X2),X0)|le_q($f3(X0,X1,X2),X2).
% 2.04/2.22 0 [] ismeetu(X2,X0,X1)|le_q($f3(X0,X1,X2),X1)|le_q($f3(X0,X1,X2),X2).
% 2.04/2.22 0 [] ismeetu(X2,X0,X1)| -le_q($f3(X0,X1,X2),X0)| -le_q($f3(X0,X1,X2),X1)| -le_q($f3(X0,X1,X2),X2).
% 2.04/2.22 0 [] test($c1).
% 2.04/2.22 0 [] test($c2).
% 2.04/2.22 0 [] ismeet(zero,$c2,$c1).
% 2.04/2.22 0 [] -ismeet(zero,multiplication($c2,$c3),multiplication($c1,$c3)).
% 2.04/2.22 end_of_list.
% 2.04/2.22
% 2.04/2.22 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 2.04/2.22
% 2.04/2.22 This ia a non-Horn set with equality. The strategy will be
% 2.04/2.22 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.04/2.22 deletion, with positive clauses in sos and nonpositive
% 2.04/2.22 clauses in usable.
% 2.04/2.22
% 2.04/2.22 dependent: set(knuth_bendix).
% 2.04/2.22 dependent: set(anl_eq).
% 2.04/2.22 dependent: set(para_from).
% 2.04/2.22 dependent: set(para_into).
% 2.04/2.22 dependent: clear(para_from_right).
% 2.04/2.22 dependent: clear(para_into_right).
% 2.04/2.22 dependent: set(para_from_vars).
% 2.04/2.22 dependent: set(eq_units_both_ways).
% 2.04/2.22 dependent: set(dynamic_demod_all).
% 2.04/2.22 dependent: set(dynamic_demod).
% 2.04/2.22 dependent: set(order_eq).
% 2.04/2.22 dependent: set(back_demod).
% 2.04/2.22 dependent: set(lrpo).
% 2.04/2.22 dependent: set(hyper_res).
% 2.04/2.22 dependent: set(unit_deletion).
% 2.04/2.22 dependent: set(factor).
% 2.04/2.22
% 2.04/2.22 ------------> process usable:
% 2.04/2.22 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 2.04/2.22 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 2.04/2.22 ** KEPT (pick-wt=6): 3 [] -test(A)|complement($f1(A),A).
% 2.04/2.22 ** KEPT (pick-wt=5): 4 [] test(A)| -complement(B,A).
% 2.04/2.22 ** KEPT (pick-wt=8): 5 [] -complement(A,B)|multiplication(B,A)=zero.
% 2.04/2.22 ** KEPT (pick-wt=8): 6 [] -complement(A,B)|multiplication(A,B)=zero.
% 2.04/2.22 ** KEPT (pick-wt=8): 7 [] -complement(A,B)|addition(B,A)=one.
% 2.04/2.22 ** KEPT (pick-wt=18): 8 [] complement(A,B)|multiplication(B,A)!=zero|multiplication(A,B)!=zero|addition(B,A)!=one.
% 2.04/2.22 ** KEPT (pick-wt=9): 9 [] -test(A)|c(A)!=B|complement(A,B).
% 2.04/2.22 ** KEPT (pick-wt=9): 10 [] -test(A)|c(A)=B| -complement(A,B).
% 2.04/2.22 ** KEPT (pick-wt=7): 11 [] -ismeet(A,B,C)|le_q(A,B).
% 2.04/2.22 ** KEPT (pick-wt=7): 12 [] -ismeet(A,B,C)|le_q(A,C).
% 2.04/2.22 ** KEPT (pick-wt=13): 13 [] -ismeet(A,B,C)| -le_q(D,B)| -le_q(D,C)|le_q(D,A).
% 2.04/2.22 ** KEPT (pick-wt=16): 14 [] ismeet(A,B,C)| -le_q(A,B)| -le_q(A,C)|le_q($f2(B,C,A),B).
% 2.04/2.22 ** KEPT (pick-wt=16): 15 [] ismeet(A,B,C)| -le_q(A,B)| -le_q(A,C)|le_q($f2(B,C,A),C).
% 2.04/2.22 ** KEPT (pick-wt=16): 16 [] ismeet(A,B,C)| -le_q(A,B)| -le_q(A,C)| -le_q($f2(B,C,A),A).
% 2.04/2.22 ** KEPT (pick-wt=13): 17 [] -ismeetu(A,B,C)| -le_q(D,B)| -le_q(D,C)|le_q(D,A).
% 2.04/2.22 ** KEPT (pick-wt=10): 18 [] -ismeetu(A,B,C)|le_q(D,B)| -le_q(D,A).
% 2.04/2.22 ** KEPT (pick-wt=10): 19 [] -ismeetu(A,B,C)|le_q(D,C)| -le_q(D,A).
% 2.04/2.22 ** KEPT (pick-wt=22): 20 [] ismeetu(A,B,C)| -le_q($f3(B,C,A),B)| -le_q($f3(B,C,A),C)| -le_q($f3(B,C,A),A).
% 2.04/2.22 ** KEPT (pick-wt=8): 21 [] -ismeet(zero,multiplication($c2,$c3),multiplication($c1,$c3)).
% 2.04/2.22
% 2.04/2.22 ------------> process sos:
% 2.04/2.22 ** KEPT (pick-wt=3): 31 [] A=A.
% 2.04/2.22 ** KEPT (pick-wt=7): 32 [] addition(A,B)=addition(B,A).
% 2.04/2.22 ** KEPT (pick-wt=11): 34 [copy,33,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 2.04/2.22 ---> New Demodulator: 35 [new_demod,34] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 2.04/2.22 ** KEPT (pick-wt=5): 36 [] addition(A,zero)=A.
% 2.04/2.22 ---> New Demodulator: 37 [new_demod,36] addition(A,zero)=A.
% 2.04/2.22 ** KEPT (pick-wt=5): 38 [] addition(A,A)=A.
% 2.04/2.22 ---> New Demodulator: 39 [new_demod,38] addition(A,A)=A.
% 2.04/2.22 ** KEPT (pick-wt=11): 41 [copy,40,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 2.04/2.22 ---> New Demodulator: 42 [new_demod,41] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 2.04/2.22 ** KEPT (pick-wt=5): 43 [] multiplication(A,one)=A.
% 2.04/2.22 ---> New Demodulator: 44 [new_demod,43] multiplication(A,one)=A.
% 2.04/2.22 ** KEPT (pick-wt=5): 45 [] multiplication(one,A)=A.
% 2.04/2.22 ---> New Demodulator: 46 [new_demod,45] multiplication(one,A)=A.
% 2.04/2.22 ** KEPT (pick-wt=13): 47 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 2.04/2.22 ---> New Demodulator: 48 [new_demod,47] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 2.04/2.22 ** KEPT (pick-wt=13): 49 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 2.04/2.22 ---> New Demodulator: 50 [new_demod,49] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 2.04/2.22 ** KEPT (pick-wt=5): 51 [] multiplication(A,zero)=zero.
% 2.04/2.22 ---> New Demodulator: 52 [new_demod,51] multiplication(A,zero)=zero.
% 2.04/2.22 ** KEPT (pick-wt=5): 53 [] multiplication(zero,A)=zero.
% 2.04/2.22 ---> New Demodulator: 54 [new_demod,53] multiplication(zero,A)=zero.
% 2.04/2.22 ** KEPT (pick-wt=6): 55 [] test(A)|c(A)=zero.
% 2.04/2.22 ** KEPT (pick-wt=16): 56 [] ismeetu(A,B,C)|le_q($f3(B,C,A),B)|le_q($f3(B,C,A),A).
% 2.04/2.22 ** KEPT (pick-wt=16): 57 [] ismeetu(A,B,C)|le_q($f3(B,C,A),C)|le_q($f3(B,C,A),A).
% 2.04/2.22 ** KEPT (pick-wt=2): 58 [] test($c1).
% 2.04/2.22 ** KEPT (pick-wt=2): 59 [] test($c2).
% 2.04/2.22 ** KEPT (pick-wt=4): 60 [] ismeet(zero,$c2,$c1).
% 126.61/126.80 Following clause subsumed by 31 during input processing: 0 [copy,31,flip.1] A=A.
% 126.61/126.80 Following clause subsumed by 32 during input processing: 0 [copy,32,flip.1] addition(A,B)=addition(B,A).
% 126.61/126.80 >>>> Starting back demodulation with 35.
% 126.61/126.80 >>>> Starting back demodulation with 37.
% 126.61/126.80 >>>> Starting back demodulation with 39.
% 126.61/126.80 >> back demodulating 22 with 39.
% 126.61/126.80 >>>> Starting back demodulation with 42.
% 126.61/126.80 >>>> Starting back demodulation with 44.
% 126.61/126.80 >>>> Starting back demodulation with 46.
% 126.61/126.80 >>>> Starting back demodulation with 48.
% 126.61/126.80 >>>> Starting back demodulation with 50.
% 126.61/126.80 >>>> Starting back demodulation with 52.
% 126.61/126.80 >>>> Starting back demodulation with 54.
% 126.61/126.80
% 126.61/126.80 ======= end of input processing =======
% 126.61/126.80
% 126.61/126.80 =========== start of search ===========
% 126.61/126.80
% 126.61/126.80
% 126.61/126.80 Resetting weight limit to 7.
% 126.61/126.80
% 126.61/126.80
% 126.61/126.80 Resetting weight limit to 7.
% 126.61/126.80
% 126.61/126.80 sos_size=2126
% 126.61/126.80
% 126.61/126.80
% 126.61/126.80 Resetting weight limit to 6.
% 126.61/126.80
% 126.61/126.80
% 126.61/126.80 Resetting weight limit to 6.
% 126.61/126.80
% 126.61/126.80 sos_size=1326
% 126.61/126.80
% 126.61/126.80 Search stopped because sos empty.
% 126.61/126.80
% 126.61/126.80
% 126.61/126.80 Search stopped because sos empty.
% 126.61/126.80
% 126.61/126.80 ============ end of search ============
% 126.61/126.80
% 126.61/126.80 -------------- statistics -------------
% 126.61/126.80 clauses given 2203
% 126.61/126.80 clauses generated 4136876
% 126.61/126.80 clauses kept 3501
% 126.61/126.80 clauses forward subsumed 54084
% 126.61/126.80 clauses back subsumed 1511
% 126.61/126.80 Kbytes malloced 5859
% 126.61/126.80
% 126.61/126.80 ----------- times (seconds) -----------
% 126.61/126.80 user CPU time 124.57 (0 hr, 2 min, 4 sec)
% 126.61/126.80 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 126.61/126.80 wall-clock time 126 (0 hr, 2 min, 6 sec)
% 126.61/126.80
% 126.61/126.80 Process 27547 finished Wed Jul 27 06:43:00 2022
% 126.61/126.80 Otter interrupted
% 126.61/126.80 PROOF NOT FOUND
%------------------------------------------------------------------------------