TSTP Solution File: REL029+3 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : REL029+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:11:54 EDT 2022
% Result : Unknown 1.81s 2.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL029+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 10:06:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.75/1.95 ----- Otter 3.3f, August 2004 -----
% 1.75/1.95 The process was started by sandbox on n003.cluster.edu,
% 1.75/1.95 Wed Jul 27 10:06:11 2022
% 1.75/1.95 The command was "./otter". The process ID is 6264.
% 1.75/1.95
% 1.75/1.95 set(prolog_style_variables).
% 1.75/1.95 set(auto).
% 1.75/1.95 dependent: set(auto1).
% 1.75/1.95 dependent: set(process_input).
% 1.75/1.95 dependent: clear(print_kept).
% 1.75/1.95 dependent: clear(print_new_demod).
% 1.75/1.95 dependent: clear(print_back_demod).
% 1.75/1.95 dependent: clear(print_back_sub).
% 1.75/1.95 dependent: set(control_memory).
% 1.75/1.95 dependent: assign(max_mem, 12000).
% 1.75/1.95 dependent: assign(pick_given_ratio, 4).
% 1.75/1.95 dependent: assign(stats_level, 1).
% 1.75/1.95 dependent: assign(max_seconds, 10800).
% 1.75/1.95 clear(print_given).
% 1.75/1.95
% 1.75/1.95 formula_list(usable).
% 1.75/1.95 all A (A=A).
% 1.75/1.95 all X0 X1 (join(X0,X1)=join(X1,X0)).
% 1.75/1.95 all X0 X1 X2 (join(X0,join(X1,X2))=join(join(X0,X1),X2)).
% 1.75/1.95 all X0 X1 (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))).
% 1.75/1.95 all X0 X1 (meet(X0,X1)=complement(join(complement(X0),complement(X1)))).
% 1.75/1.95 all X0 X1 X2 (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2)).
% 1.75/1.95 all X0 (composition(X0,one)=X0).
% 1.75/1.95 all X0 X1 X2 (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2))).
% 1.75/1.95 all X0 (converse(converse(X0))=X0).
% 1.75/1.95 all X0 X1 (converse(join(X0,X1))=join(converse(X0),converse(X1))).
% 1.75/1.95 all X0 X1 (converse(composition(X0,X1))=composition(converse(X1),converse(X0))).
% 1.75/1.95 all X0 X1 (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1)).
% 1.75/1.95 all X0 (top=join(X0,complement(X0))).
% 1.75/1.95 all X0 (zero=meet(X0,complement(X0))).
% 1.75/1.95 all X0 X1 X2 (join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))))=composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))).
% 1.75/1.95 all X0 X1 X2 (join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))=meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)).
% 1.75/1.95 all X0 X1 X2 (join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))=meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)).
% 1.75/1.95 -(all X0 X1 X2 (join(X0,one)=one&join(X1,one)=one->meet(composition(X0,X2),composition(X1,X2))=composition(meet(X0,X1),X2))).
% 1.75/1.95 end_of_list.
% 1.75/1.95
% 1.75/1.95 -------> usable clausifies to:
% 1.75/1.95
% 1.75/1.95 list(usable).
% 1.75/1.95 0 [] A=A.
% 1.75/1.95 0 [] join(X0,X1)=join(X1,X0).
% 1.75/1.95 0 [] join(X0,join(X1,X2))=join(join(X0,X1),X2).
% 1.75/1.95 0 [] X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))).
% 1.75/1.95 0 [] meet(X0,X1)=complement(join(complement(X0),complement(X1))).
% 1.75/1.95 0 [] composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2).
% 1.75/1.95 0 [] composition(X0,one)=X0.
% 1.75/1.95 0 [] composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)).
% 1.75/1.95 0 [] converse(converse(X0))=X0.
% 1.75/1.95 0 [] converse(join(X0,X1))=join(converse(X0),converse(X1)).
% 1.75/1.95 0 [] converse(composition(X0,X1))=composition(converse(X1),converse(X0)).
% 1.75/1.95 0 [] join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1).
% 1.75/1.95 0 [] top=join(X0,complement(X0)).
% 1.75/1.95 0 [] zero=meet(X0,complement(X0)).
% 1.75/1.95 0 [] join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))))=composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))).
% 1.75/1.95 0 [] join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))=meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2).
% 1.75/1.95 0 [] join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))=meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2).
% 1.75/1.95 0 [] join($c3,one)=one.
% 1.75/1.95 0 [] join($c2,one)=one.
% 1.75/1.95 0 [] meet(composition($c3,$c1),composition($c2,$c1))!=composition(meet($c3,$c2),$c1).
% 1.75/1.95 end_of_list.
% 1.75/1.95
% 1.75/1.95 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.75/1.95
% 1.75/1.95 All clauses are units, and equality is present; the
% 1.75/1.95 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.75/1.95
% 1.75/1.95 dependent: set(knuth_bendix).
% 1.75/1.95 dependent: set(anl_eq).
% 1.75/1.95 dependent: set(para_from).
% 1.75/1.95 dependent: set(para_into).
% 1.75/1.95 dependent: clear(para_from_right).
% 1.75/1.95 dependent: clear(para_into_right).
% 1.75/1.95 dependent: set(para_from_vars).
% 1.75/1.95 dependent: set(eq_units_both_ways).
% 1.75/1.95 dependent: set(dynamic_demod_all).
% 1.75/1.95 dependent: set(dynamic_demod).
% 1.75/1.95 dependent: set(order_eq).
% 1.75/1.95 dependent: set(back_demod).
% 1.75/1.95 dependent: set(lrpo).
% 1.75/1.95
% 1.75/1.95 ------------> process usable:
% 1.75/1.95 ** KEPT (pick-wt=13): 1 [] meet(composition($c3,$c1),composition($c2,$c1))!=composition(meet($c3,$c2),$c1).
% 1.75/1.95
% 1.75/1.95 ------------> process sos:
% 1.75/1.95 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.75/1.95 ** KEPT (pick-wt=7): 3 [] join(A,B)=join(B,A).
% 1.75/1.95 ** KEPT (pick-wt=11): 5 [copy,4,flip.1] join(join(A,B),C)=join(A,join(B,C)).
% 1.75/1.95 ---> New Demodulator: 6 [new_demod,5] join(join(A,B),C)=join(A,join(B,C)).
% 1.75/1.95 ** KEPT (pick-wt=14): 8 [copy,7,flip.1] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A.
% 1.75/1.95 ---> New Demodulator: 9 [new_demod,8] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A.
% 1.75/1.95 ** KEPT (pick-wt=10): 11 [copy,10,flip.1] complement(join(complement(A),complement(B)))=meet(A,B).
% 1.75/1.95 ---> New Demodulator: 12 [new_demod,11] complement(join(complement(A),complement(B)))=meet(A,B).
% 1.75/1.95 ** KEPT (pick-wt=11): 14 [copy,13,flip.1] composition(composition(A,B),C)=composition(A,composition(B,C)).
% 1.75/1.95 ---> New Demodulator: 15 [new_demod,14] composition(composition(A,B),C)=composition(A,composition(B,C)).
% 1.75/1.95 ** KEPT (pick-wt=5): 16 [] composition(A,one)=A.
% 1.75/1.95 ---> New Demodulator: 17 [new_demod,16] composition(A,one)=A.
% 1.75/1.95 ** KEPT (pick-wt=13): 19 [copy,18,flip.1] join(composition(A,B),composition(C,B))=composition(join(A,C),B).
% 1.75/1.95 ---> New Demodulator: 20 [new_demod,19] join(composition(A,B),composition(C,B))=composition(join(A,C),B).
% 1.75/1.95 ** KEPT (pick-wt=5): 21 [] converse(converse(A))=A.
% 1.75/1.95 ---> New Demodulator: 22 [new_demod,21] converse(converse(A))=A.
% 1.75/1.95 ** KEPT (pick-wt=10): 23 [] converse(join(A,B))=join(converse(A),converse(B)).
% 1.75/1.95 ---> New Demodulator: 24 [new_demod,23] converse(join(A,B))=join(converse(A),converse(B)).
% 1.75/1.95 ** KEPT (pick-wt=10): 25 [] converse(composition(A,B))=composition(converse(B),converse(A)).
% 1.75/1.95 ---> New Demodulator: 26 [new_demod,25] converse(composition(A,B))=composition(converse(B),converse(A)).
% 1.75/1.96 ** KEPT (pick-wt=13): 27 [] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B).
% 1.75/1.96 ---> New Demodulator: 28 [new_demod,27] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B).
% 1.75/1.96 ** KEPT (pick-wt=6): 30 [copy,29,flip.1] join(A,complement(A))=top.
% 1.75/1.96 ---> New Demodulator: 31 [new_demod,30] join(A,complement(A))=top.
% 1.75/1.96 ** KEPT (pick-wt=6): 33 [copy,32,flip.1] meet(A,complement(A))=zero.
% 1.75/1.96 ---> New Demodulator: 34 [new_demod,33] meet(A,complement(A))=zero.
% 1.75/1.96 ** KEPT (pick-wt=33): 35 [] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))))=composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 1.75/1.96 ---> New Demodulator: 36 [new_demod,35] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))))=composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 1.75/1.96 ** KEPT (pick-wt=27): 37 [] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C))=meet(composition(A,meet(B,composition(converse(A),C))),C).
% 1.75/1.96 ---> New Demodulator: 38 [new_demod,37] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C))=meet(composition(A,meet(B,composition(converse(A),C))),C).
% 1.75/1.96 ** KEPT (pick-wt=27): 39 [] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C))=meet(composition(meet(A,composition(C,converse(B))),B),C).
% 1.75/1.96 ---> New Demodulator: 40 [new_demod,39] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C))=meet(composition(meet(A,composition(C,converse(B))),B),C).
% 1.75/1.96 ** KEPT (pick-wt=5): 41 [] join($c3,one)=one.
% 1.75/1.96 ---> New Demodulator: 42 [new_demod,41] join($c3,one)=one.
% 1.75/1.96 ** KEPT (pick-wt=5): 43 [] join($c2,one)=one.
% 1.75/1.96 ---> New Demodulator: 44 [new_demod,43] join($c2,one)=one.
% 1.75/1.96 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.81/2.03 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] join(A,B)=join(B,A).
% 1.81/2.03 >>>> Starting back demodulation with 6.
% 1.81/2.03 >>>> Starting back demodulation with 9.
% 1.81/2.03 >>>> Starting back demodulation with 12.
% 1.81/2.03 >> back demodulating 8 with 12.
% 1.81/2.03 >>>> Starting back demodulation with 15.
% 1.81/2.03 >>>> Starting back demodulation with 17.
% 1.81/2.03 >>>> Starting back demodulation with 20.
% 1.81/2.03 >>>> Starting back demodulation with 22.
% 1.81/2.03 >>>> Starting back demodulation with 24.
% 1.81/2.03 >>>> Starting back demodulation with 26.
% 1.81/2.03 >>>> Starting back demodulation with 28.
% 1.81/2.03 >>>> Starting back demodulation with 31.
% 1.81/2.03 >>>> Starting back demodulation with 34.
% 1.81/2.03 >>>> Starting back demodulation with 36.
% 1.81/2.03 >>>> Starting back demodulation with 38.
% 1.81/2.03 >>>> Starting back demodulation with 40.
% 1.81/2.03 >>>> Starting back demodulation with 42.
% 1.81/2.03 >>>> Starting back demodulation with 44.
% 1.81/2.03 >>>> Starting back demodulation with 46.
% 1.81/2.03
% 1.81/2.03 ======= end of input processing =======
% 1.81/2.03
% 1.81/2.03 =========== start of search ===========
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03 Resetting weight limit to 9.
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03 Resetting weight limit to 9.
% 1.81/2.03
% 1.81/2.03 sos_size=119
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03 Resetting weight limit to 8.
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03 Resetting weight limit to 8.
% 1.81/2.03
% 1.81/2.03 sos_size=121
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03 Resetting weight limit to 5.
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03 Resetting weight limit to 5.
% 1.81/2.03
% 1.81/2.03 sos_size=90
% 1.81/2.03
% 1.81/2.03 Search stopped because sos empty.
% 1.81/2.03
% 1.81/2.03
% 1.81/2.03 Search stopped because sos empty.
% 1.81/2.03
% 1.81/2.03 ============ end of search ============
% 1.81/2.03
% 1.81/2.03 -------------- statistics -------------
% 1.81/2.03 clauses given 226
% 1.81/2.03 clauses generated 7637
% 1.81/2.03 clauses kept 316
% 1.81/2.03 clauses forward subsumed 2284
% 1.81/2.03 clauses back subsumed 0
% 1.81/2.03 Kbytes malloced 7812
% 1.81/2.03
% 1.81/2.03 ----------- times (seconds) -----------
% 1.81/2.03 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.81/2.03 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.81/2.03 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.81/2.03
% 1.81/2.03 Process 6264 finished Wed Jul 27 10:06:13 2022
% 1.81/2.03 Otter interrupted
% 1.81/2.03 PROOF NOT FOUND
%------------------------------------------------------------------------------