TSTP Solution File: KLE096-10 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE096-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 13:00:43 EDT 2022
% Result : Unknown 2.09s 2.24s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE096-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n013.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 06:29:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.99/2.17 ----- Otter 3.3f, August 2004 -----
% 1.99/2.17 The process was started by sandbox2 on n013.cluster.edu,
% 1.99/2.17 Wed Jul 27 06:29:00 2022
% 1.99/2.17 The command was "./otter". The process ID is 1897.
% 1.99/2.17
% 1.99/2.17 set(prolog_style_variables).
% 1.99/2.17 set(auto).
% 1.99/2.17 dependent: set(auto1).
% 1.99/2.17 dependent: set(process_input).
% 1.99/2.17 dependent: clear(print_kept).
% 1.99/2.17 dependent: clear(print_new_demod).
% 1.99/2.17 dependent: clear(print_back_demod).
% 1.99/2.17 dependent: clear(print_back_sub).
% 1.99/2.17 dependent: set(control_memory).
% 1.99/2.17 dependent: assign(max_mem, 12000).
% 1.99/2.17 dependent: assign(pick_given_ratio, 4).
% 1.99/2.17 dependent: assign(stats_level, 1).
% 1.99/2.17 dependent: assign(max_seconds, 10800).
% 1.99/2.17 clear(print_given).
% 1.99/2.17
% 1.99/2.17 list(usable).
% 1.99/2.17 0 [] A=A.
% 1.99/2.17 0 [] ife_q3(A,A,B,C)=B.
% 1.99/2.17 0 [] ife_q2(A,A,B,C)=B.
% 1.99/2.17 0 [] ife_q(A,A,B,C)=B.
% 1.99/2.17 0 [] addition(A,B)=addition(B,A).
% 1.99/2.17 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.99/2.17 0 [] addition(A,zero)=A.
% 1.99/2.17 0 [] addition(A,A)=A.
% 1.99/2.17 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.99/2.17 0 [] multiplication(A,one)=A.
% 1.99/2.17 0 [] multiplication(one,A)=A.
% 1.99/2.17 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.99/2.17 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.99/2.17 0 [] multiplication(A,zero)=zero.
% 1.99/2.17 0 [] multiplication(zero,A)=zero.
% 1.99/2.17 0 [] ife_q2(le_q(A,B),true,addition(A,B),B)=B.
% 1.99/2.17 0 [] ife_q3(addition(A,B),B,le_q(A,B),true)=true.
% 1.99/2.17 0 [] le_q(addition(one,multiplication(A,star(A))),star(A))=true.
% 1.99/2.17 0 [] le_q(addition(one,multiplication(star(A),A)),star(A))=true.
% 1.99/2.17 0 [] ife_q(le_q(addition(multiplication(A,B),C),B),true,le_q(multiplication(star(A),C),B),true)=true.
% 1.99/2.17 0 [] ife_q(le_q(addition(multiplication(A,B),C),A),true,le_q(multiplication(C,star(B)),A),true)=true.
% 1.99/2.17 0 [] multiplication(antidomain(X0),X0)=zero.
% 1.99/2.17 0 [] addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))=antidomain(multiplication(X0,antidomain(antidomain(X1)))).
% 1.99/2.17 0 [] addition(antidomain(antidomain(X0)),antidomain(X0))=one.
% 1.99/2.17 0 [] domain(X0)=antidomain(antidomain(X0)).
% 1.99/2.17 0 [] multiplication(X0,coantidomain(X0))=zero.
% 1.99/2.17 0 [] addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))=coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)).
% 1.99/2.17 0 [] addition(coantidomain(coantidomain(X0)),coantidomain(X0))=one.
% 1.99/2.17 0 [] codomain(X0)=coantidomain(coantidomain(X0)).
% 1.99/2.17 0 [] c(X0)=antidomain(domain(X0)).
% 1.99/2.17 0 [] domain_difference(X0,X1)=multiplication(domain(X0),antidomain(X1)).
% 1.99/2.17 0 [] forward_diamond(X0,X1)=domain(multiplication(X0,domain(X1))).
% 1.99/2.17 0 [] backward_diamond(X0,X1)=codomain(multiplication(codomain(X1),X0)).
% 1.99/2.17 0 [] forward_box(X0,X1)=c(forward_diamond(X0,c(X1))).
% 1.99/2.17 0 [] backward_box(X0,X1)=c(backward_diamond(X0,c(X1))).
% 1.99/2.17 0 [] addition(domain(sK2_goals_X0),forward_diamond(star(sK1_goals_X1),forward_diamond(sK1_goals_X1,domain(sK2_goals_X0))))!=forward_diamond(star(sK1_goals_X1),domain(sK2_goals_X0)).
% 1.99/2.17 end_of_list.
% 1.99/2.17
% 1.99/2.17 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.99/2.17
% 1.99/2.17 All clauses are units, and equality is present; the
% 1.99/2.17 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.99/2.17
% 1.99/2.17 dependent: set(knuth_bendix).
% 1.99/2.17 dependent: set(anl_eq).
% 1.99/2.17 dependent: set(para_from).
% 1.99/2.17 dependent: set(para_into).
% 1.99/2.17 dependent: clear(para_from_right).
% 1.99/2.17 dependent: clear(para_into_right).
% 1.99/2.17 dependent: set(para_from_vars).
% 1.99/2.17 dependent: set(eq_units_both_ways).
% 1.99/2.17 dependent: set(dynamic_demod_all).
% 1.99/2.17 dependent: set(dynamic_demod).
% 1.99/2.17 dependent: set(order_eq).
% 1.99/2.17 dependent: set(back_demod).
% 1.99/2.17 dependent: set(lrpo).
% 1.99/2.17
% 1.99/2.17 ------------> process usable:
% 1.99/2.17 ** KEPT (pick-wt=16): 1 [] addition(domain(sK2_goals_X0),forward_diamond(star(sK1_goals_X1),forward_diamond(sK1_goals_X1,domain(sK2_goals_X0))))!=forward_diamond(star(sK1_goals_X1),domain(sK2_goals_X0)).
% 1.99/2.17
% 1.99/2.17 ------------> process sos:
% 1.99/2.17 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.99/2.17 ** KEPT (pick-wt=7): 3 [] ife_q3(A,A,B,C)=B.
% 1.99/2.17 ---> New Demodulator: 4 [new_demod,3] ife_q3(A,A,B,C)=B.
% 1.99/2.17 ** KEPT (pick-wt=7): 5 [] ife_q2(A,A,B,C)=B.
% 1.99/2.17 ---> New Demodulator: 6 [new_demod,5] ife_q2(A,A,B,C)=B.
% 1.99/2.17 ** KEPT (pick-wt=7): 7 [] ife_q(A,A,B,C)=B.
% 1.99/2.17 ---> New Demodulator: 8 [new_demod,7] ife_q(A,A,B,C)=B.
% 1.99/2.17 ** KEPT (pick-wt=7): 9 [] addition(A,B)=addition(B,A).
% 1.99/2.17 ** KEPT (pick-wt=11): 11 [copy,10,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.99/2.17 ---> New Demodulator: 12 [new_demod,11] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 1.99/2.17 ** KEPT (pick-wt=5): 13 [] addition(A,zero)=A.
% 1.99/2.17 ---> New Demodulator: 14 [new_demod,13] addition(A,zero)=A.
% 1.99/2.17 ** KEPT (pick-wt=5): 15 [] addition(A,A)=A.
% 1.99/2.17 ---> New Demodulator: 16 [new_demod,15] addition(A,A)=A.
% 1.99/2.17 ** KEPT (pick-wt=11): 18 [copy,17,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.99/2.17 ---> New Demodulator: 19 [new_demod,18] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 1.99/2.17 ** KEPT (pick-wt=5): 20 [] multiplication(A,one)=A.
% 1.99/2.17 ---> New Demodulator: 21 [new_demod,20] multiplication(A,one)=A.
% 1.99/2.17 ** KEPT (pick-wt=5): 22 [] multiplication(one,A)=A.
% 1.99/2.17 ---> New Demodulator: 23 [new_demod,22] multiplication(one,A)=A.
% 1.99/2.17 ** KEPT (pick-wt=13): 24 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.99/2.17 ---> New Demodulator: 25 [new_demod,24] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.99/2.17 ** KEPT (pick-wt=13): 26 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.99/2.17 ---> New Demodulator: 27 [new_demod,26] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.99/2.17 ** KEPT (pick-wt=5): 28 [] multiplication(A,zero)=zero.
% 1.99/2.17 ---> New Demodulator: 29 [new_demod,28] multiplication(A,zero)=zero.
% 1.99/2.17 ** KEPT (pick-wt=5): 30 [] multiplication(zero,A)=zero.
% 1.99/2.17 ---> New Demodulator: 31 [new_demod,30] multiplication(zero,A)=zero.
% 1.99/2.17 ** KEPT (pick-wt=11): 32 [] ife_q2(le_q(A,B),true,addition(A,B),B)=B.
% 1.99/2.17 ---> New Demodulator: 33 [new_demod,32] ife_q2(le_q(A,B),true,addition(A,B),B)=B.
% 1.99/2.17 ** KEPT (pick-wt=11): 34 [] ife_q3(addition(A,B),B,le_q(A,B),true)=true.
% 1.99/2.17 ---> New Demodulator: 35 [new_demod,34] ife_q3(addition(A,B),B,le_q(A,B),true)=true.
% 1.99/2.17 ** KEPT (pick-wt=11): 36 [] le_q(addition(one,multiplication(A,star(A))),star(A))=true.
% 1.99/2.17 ---> New Demodulator: 37 [new_demod,36] le_q(addition(one,multiplication(A,star(A))),star(A))=true.
% 1.99/2.17 ** KEPT (pick-wt=11): 38 [] le_q(addition(one,multiplication(star(A),A)),star(A))=true.
% 1.99/2.17 ---> New Demodulator: 39 [new_demod,38] le_q(addition(one,multiplication(star(A),A)),star(A))=true.
% 1.99/2.17 ** KEPT (pick-wt=18): 40 [] ife_q(le_q(addition(multiplication(A,B),C),B),true,le_q(multiplication(star(A),C),B),true)=true.
% 1.99/2.17 ---> New Demodulator: 41 [new_demod,40] ife_q(le_q(addition(multiplication(A,B),C),B),true,le_q(multiplication(star(A),C),B),true)=true.
% 1.99/2.17 ** KEPT (pick-wt=18): 42 [] ife_q(le_q(addition(multiplication(A,B),C),A),true,le_q(multiplication(C,star(B)),A),true)=true.
% 1.99/2.17 ---> New Demodulator: 43 [new_demod,42] ife_q(le_q(addition(multiplication(A,B),C),A),true,le_q(multiplication(C,star(B)),A),true)=true.
% 1.99/2.17 ** KEPT (pick-wt=6): 44 [] multiplication(antidomain(A),A)=zero.
% 1.99/2.17 ---> New Demodulator: 45 [new_demod,44] multiplication(antidomain(A),A)=zero.
% 1.99/2.17 ** KEPT (pick-wt=18): 46 [] addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B)))))=antidomain(multiplication(A,antidomain(antidomain(B)))).
% 1.99/2.17 ---> New Demodulator: 47 [new_demod,46] addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B)))))=antidomain(multiplication(A,antidomain(antidomain(B)))).
% 1.99/2.17 ** KEPT (pick-wt=8): 48 [] addition(antidomain(antidomain(A)),antidomain(A))=one.
% 1.99/2.17 ---> New Demodulator: 49 [new_demod,48] addition(antidomain(antidomain(A)),antidomain(A))=one.
% 1.99/2.17 ** KEPT (pick-wt=6): 50 [] domain(A)=antidomain(antidomain(A)).
% 1.99/2.17 ---> New Demodulator: 51 [new_demod,50] domain(A)=antidomain(antidomain(A)).
% 1.99/2.17 ** KEPT (pick-wt=6): 52 [] multiplication(A,coantidomain(A))=zero.
% 1.99/2.17 ---> New Demodulator: 53 [new_demod,52] multiplication(A,coantidomain(A))=zero.
% 1.99/2.17 ** KEPT (pick-wt=18): 54 [] addition(coantidomain(multiplication(A,B)),coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=coantidomain(multiplication(coantidomain(coantidomain(A)),B)).
% 1.99/2.17 ---> New Demodulator: 55 [new_demod,54] addition(coantidomain(multiplication(A,B)),coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=coantidomain(multiplication(coantidomain(coantidomain(A)),B)).
% 2.09/2.24 ** KEPT (pick-wt=8): 56 [] addition(coantidomain(coantidomain(A)),coantidomain(A))=one.
% 2.09/2.24 ---> New Demodulator: 57 [new_demod,56] addition(coantidomain(coantidomain(A)),coantidomain(A))=one.
% 2.09/2.24 ** KEPT (pick-wt=6): 58 [] codomain(A)=coantidomain(coantidomain(A)).
% 2.09/2.24 ---> New Demodulator: 59 [new_demod,58] codomain(A)=coantidomain(coantidomain(A)).
% 2.09/2.24 ** KEPT (pick-wt=7): 61 [copy,60,demod,51] c(A)=antidomain(antidomain(antidomain(A))).
% 2.09/2.24 ---> New Demodulator: 62 [new_demod,61] c(A)=antidomain(antidomain(antidomain(A))).
% 2.09/2.24 ** KEPT (pick-wt=10): 64 [copy,63,demod,51,flip.1] multiplication(antidomain(antidomain(A)),antidomain(B))=domain_difference(A,B).
% 2.09/2.24 ---> New Demodulator: 65 [new_demod,64] multiplication(antidomain(antidomain(A)),antidomain(B))=domain_difference(A,B).
% 2.09/2.24 ** KEPT (pick-wt=11): 67 [copy,66,demod,51,51,flip.1] antidomain(antidomain(multiplication(A,antidomain(antidomain(B)))))=forward_diamond(A,B).
% 2.09/2.24 ---> New Demodulator: 68 [new_demod,67] antidomain(antidomain(multiplication(A,antidomain(antidomain(B)))))=forward_diamond(A,B).
% 2.09/2.24 ** KEPT (pick-wt=11): 70 [copy,69,demod,59,59,flip.1] coantidomain(coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=backward_diamond(B,A).
% 2.09/2.24 ---> New Demodulator: 71 [new_demod,70] coantidomain(coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=backward_diamond(B,A).
% 2.09/2.24 ** KEPT (pick-wt=13): 73 [copy,72,demod,62,62,flip.1] antidomain(antidomain(antidomain(forward_diamond(A,antidomain(antidomain(antidomain(B)))))))=forward_box(A,B).
% 2.09/2.24 ---> New Demodulator: 74 [new_demod,73] antidomain(antidomain(antidomain(forward_diamond(A,antidomain(antidomain(antidomain(B)))))))=forward_box(A,B).
% 2.09/2.24 ** KEPT (pick-wt=13): 76 [copy,75,demod,62,62,flip.1] antidomain(antidomain(antidomain(backward_diamond(A,antidomain(antidomain(antidomain(B)))))))=backward_box(A,B).
% 2.09/2.24 ---> New Demodulator: 77 [new_demod,76] antidomain(antidomain(antidomain(backward_diamond(A,antidomain(antidomain(antidomain(B)))))))=backward_box(A,B).
% 2.09/2.24 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 2.09/2.24 >>>> Starting back demodulation with 4.
% 2.09/2.24 >>>> Starting back demodulation with 6.
% 2.09/2.24 >>>> Starting back demodulation with 8.
% 2.09/2.24 Following clause subsumed by 9 during input processing: 0 [copy,9,flip.1] addition(A,B)=addition(B,A).
% 2.09/2.24 >>>> Starting back demodulation with 12.
% 2.09/2.24 >>>> Starting back demodulation with 14.
% 2.09/2.24 >>>> Starting back demodulation with 16.
% 2.09/2.24 >>>> Starting back demodulation with 19.
% 2.09/2.24 >>>> Starting back demodulation with 21.
% 2.09/2.24 >>>> Starting back demodulation with 23.
% 2.09/2.24 >>>> Starting back demodulation with 25.
% 2.09/2.24 >>>> Starting back demodulation with 27.
% 2.09/2.24 >>>> Starting back demodulation with 29.
% 2.09/2.24 >>>> Starting back demodulation with 31.
% 2.09/2.24 >>>> Starting back demodulation with 33.
% 2.09/2.24 >>>> Starting back demodulation with 35.
% 2.09/2.24 >>>> Starting back demodulation with 37.
% 2.09/2.24 >>>> Starting back demodulation with 39.
% 2.09/2.24 >>>> Starting back demodulation with 41.
% 2.09/2.24 >>>> Starting back demodulation with 43.
% 2.09/2.24 >>>> Starting back demodulation with 45.
% 2.09/2.24 >>>> Starting back demodulation with 47.
% 2.09/2.24 >>>> Starting back demodulation with 49.
% 2.09/2.24 >>>> Starting back demodulation with 51.
% 2.09/2.24 >> back demodulating 1 with 51.
% 2.09/2.24 >>>> Starting back demodulation with 53.
% 2.09/2.24 >>>> Starting back demodulation with 55.
% 2.09/2.24 >>>> Starting back demodulation with 57.
% 2.09/2.24 >>>> Starting back demodulation with 59.
% 2.09/2.24 >>>> Starting back demodulation with 62.
% 2.09/2.24 >>>> Starting back demodulation with 65.
% 2.09/2.24 >>>> Starting back demodulation with 68.
% 2.09/2.24 >>>> Starting back demodulation with 71.
% 2.09/2.24 >>>> Starting back demodulation with 74.
% 2.09/2.24 >>>> Starting back demodulation with 77.
% 2.09/2.24
% 2.09/2.24 ======= end of input processing =======
% 2.09/2.24
% 2.09/2.24 =========== start of search ===========
% 2.09/2.24
% 2.09/2.24
% 2.09/2.24 Resetting weight limit to 10.
% 2.09/2.24
% 2.09/2.24
% 2.09/2.24 Resetting weight limit to 10.
% 2.09/2.24
% 2.09/2.24 sos_size=143
% 2.09/2.24
% 2.09/2.24
% 2.09/2.24 Resetting weight limit to 7.
% 2.09/2.24
% 2.09/2.24
% 2.09/2.24 Resetting weight limit to 7.
% 2.09/2.24
% 2.09/2.24 sos_size=130
% 2.09/2.24
% 2.09/2.24 Search stopped because sos empty.
% 2.09/2.24
% 2.09/2.24
% 2.09/2.24 Search stopped because sos empty.
% 2.09/2.24
% 2.09/2.24 ============ end of search ============
% 2.09/2.24
% 2.09/2.24 -------------- statistics -------------
% 2.09/2.24 clauses given 209
% 2.09/2.24 clauses generated 7092
% 2.09/2.24 clauses kept 311
% 2.09/2.24 clauses forward subsumed 3497
% 2.09/2.24 clauses back subsumed 0
% 2.09/2.24 Kbytes malloced 6835
% 2.09/2.24
% 2.09/2.24 ----------- times (seconds) -----------
% 2.09/2.24 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 2.09/2.24 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.09/2.24 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.09/2.24
% 2.09/2.24 Process 1897 finished Wed Jul 27 06:29:02 2022
% 2.09/2.24 Otter interrupted
% 2.09/2.24 PROOF NOT FOUND
%------------------------------------------------------------------------------