%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : REL009+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n010.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 13:11:48 EDT 2022 % Result : Unknown 1.90s 2.08s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : REL009+2 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.12 % Command : otter-tptp-script %s % 0.12/0.33 % Computer : n010.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 09:58:55 EDT 2022 % 0.12/0.33 % CPUTime : % 1.79/2.00 ----- Otter 3.3f, August 2004 ----- % 1.79/2.00 The process was started by sandbox2 on n010.cluster.edu, % 1.79/2.00 Wed Jul 27 09:58:55 2022 % 1.79/2.00 The command was "./otter". The process ID is 3844. % 1.79/2.00 % 1.79/2.00 set(prolog_style_variables). % 1.79/2.00 set(auto). % 1.79/2.00 dependent: set(auto1). % 1.79/2.00 dependent: set(process_input). % 1.79/2.00 dependent: clear(print_kept). % 1.79/2.00 dependent: clear(print_new_demod). % 1.79/2.00 dependent: clear(print_back_demod). % 1.79/2.00 dependent: clear(print_back_sub). % 1.79/2.00 dependent: set(control_memory). % 1.79/2.00 dependent: assign(max_mem, 12000). % 1.79/2.00 dependent: assign(pick_given_ratio, 4). % 1.79/2.00 dependent: assign(stats_level, 1). % 1.79/2.00 dependent: assign(max_seconds, 10800). % 1.79/2.00 clear(print_given). % 1.79/2.00 % 1.79/2.00 formula_list(usable). % 1.79/2.00 all A (A=A). % 1.79/2.00 all X0 X1 (join(X0,X1)=join(X1,X0)). % 1.79/2.00 all X0 X1 X2 (join(X0,join(X1,X2))=join(join(X0,X1),X2)). % 1.79/2.00 all X0 X1 (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))). % 1.79/2.00 all X0 X1 (meet(X0,X1)=complement(join(complement(X0),complement(X1)))). % 1.79/2.00 all X0 X1 X2 (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2)). % 1.79/2.00 all X0 (composition(X0,one)=X0). % 1.79/2.00 all X0 X1 X2 (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2))). % 1.79/2.00 all X0 (converse(converse(X0))=X0). % 1.79/2.00 all X0 X1 (converse(join(X0,X1))=join(converse(X0),converse(X1))). % 1.79/2.00 all X0 X1 (converse(composition(X0,X1))=composition(converse(X1),converse(X0))). % 1.79/2.00 all X0 X1 (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1)). % 1.79/2.00 all X0 (top=join(X0,complement(X0))). % 1.79/2.00 all X0 (zero=meet(X0,complement(X0))). % 1.79/2.00 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)))). % 1.79/2.00 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)). % 1.79/2.00 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)). % 1.79/2.00 -(all X0 X1 X2 (join(X0,X1)=X1->join(composition(X0,X2),composition(X1,X2))=composition(X1,X2)&join(composition(X2,X0),composition(X2,X1))=composition(X2,X1))). % 1.79/2.00 end_of_list. % 1.79/2.00 % 1.79/2.00 -------> usable clausifies to: % 1.79/2.00 % 1.79/2.00 list(usable). % 1.79/2.00 0 [] A=A. % 1.79/2.00 0 [] join(X0,X1)=join(X1,X0). % 1.79/2.00 0 [] join(X0,join(X1,X2))=join(join(X0,X1),X2). % 1.79/2.00 0 [] X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))). % 1.79/2.00 0 [] meet(X0,X1)=complement(join(complement(X0),complement(X1))). % 1.79/2.00 0 [] composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2). % 1.79/2.00 0 [] composition(X0,one)=X0. % 1.79/2.00 0 [] composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)). % 1.79/2.00 0 [] converse(converse(X0))=X0. % 1.79/2.00 0 [] converse(join(X0,X1))=join(converse(X0),converse(X1)). % 1.79/2.00 0 [] converse(composition(X0,X1))=composition(converse(X1),converse(X0)). % 1.79/2.00 0 [] join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1). % 1.79/2.00 0 [] top=join(X0,complement(X0)). % 1.79/2.00 0 [] zero=meet(X0,complement(X0)). % 1.79/2.00 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))). % 1.79/2.00 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). % 1.79/2.00 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). % 1.79/2.00 0 [] join($c3,$c2)=$c2. % 1.79/2.00 0 [] join(composition($c3,$c1),composition($c2,$c1))!=composition($c2,$c1)|join(composition($c1,$c3),composition($c1,$c2))!=composition($c1,$c2). % 1.79/2.00 end_of_list. % 1.79/2.00 % 1.79/2.00 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2. % 1.79/2.00 % 1.79/2.00 This is a Horn set with equality. The strategy will be % 1.79/2.00 Knuth-Bendix and hyper_res, with positive clauses in % 1.79/2.00 sos and nonpositive clauses in usable. % 1.79/2.00 % 1.79/2.00 dependent: set(knuth_bendix). % 1.79/2.00 dependent: set(anl_eq). % 1.79/2.00 dependent: set(para_from). % 1.79/2.00 dependent: set(para_into). % 1.79/2.00 dependent: clear(para_from_right). % 1.79/2.00 dependent: clear(para_into_right). % 1.79/2.00 dependent: set(para_from_vars). % 1.79/2.00 dependent: set(eq_units_both_ways). % 1.79/2.00 dependent: set(dynamic_demod_all). % 1.79/2.00 dependent: set(dynamic_demod). % 1.79/2.00 dependent: set(order_eq). % 1.79/2.00 dependent: set(back_demod). % 1.79/2.00 dependent: set(lrpo). % 1.79/2.00 dependent: set(hyper_res). % 1.79/2.00 dependent: clear(order_hyper). % 1.79/2.00 % 1.79/2.00 ------------> process usable: % 1.79/2.00 ** KEPT (pick-wt=22): 1 [] join(composition($c3,$c1),composition($c2,$c1))!=composition($c2,$c1)|join(composition($c1,$c3),composition($c1,$c2))!=composition($c1,$c2). % 1.79/2.00 % 1.79/2.00 ------------> process sos: % 1.79/2.00 ** KEPT (pick-wt=3): 2 [] A=A. % 1.79/2.00 ** KEPT (pick-wt=7): 3 [] join(A,B)=join(B,A). % 1.79/2.00 ** KEPT (pick-wt=11): 5 [copy,4,flip.1] join(join(A,B),C)=join(A,join(B,C)). % 1.79/2.00 ---> New Demodulator: 6 [new_demod,5] join(join(A,B),C)=join(A,join(B,C)). % 1.79/2.00 ** KEPT (pick-wt=14): 8 [copy,7,flip.1] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A. % 1.79/2.00 ---> New Demodulator: 9 [new_demod,8] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A. % 1.79/2.00 ** KEPT (pick-wt=10): 11 [copy,10,flip.1] complement(join(complement(A),complement(B)))=meet(A,B). % 1.79/2.00 ---> New Demodulator: 12 [new_demod,11] complement(join(complement(A),complement(B)))=meet(A,B). % 1.79/2.00 ** KEPT (pick-wt=11): 14 [copy,13,flip.1] composition(composition(A,B),C)=composition(A,composition(B,C)). % 1.79/2.00 ---> New Demodulator: 15 [new_demod,14] composition(composition(A,B),C)=composition(A,composition(B,C)). % 1.79/2.00 ** KEPT (pick-wt=5): 16 [] composition(A,one)=A. % 1.79/2.00 ---> New Demodulator: 17 [new_demod,16] composition(A,one)=A. % 1.79/2.00 ** KEPT (pick-wt=13): 19 [copy,18,flip.1] join(composition(A,B),composition(C,B))=composition(join(A,C),B). % 1.79/2.00 ---> New Demodulator: 20 [new_demod,19] join(composition(A,B),composition(C,B))=composition(join(A,C),B). % 1.79/2.00 ** KEPT (pick-wt=5): 21 [] converse(converse(A))=A. % 1.79/2.00 ---> New Demodulator: 22 [new_demod,21] converse(converse(A))=A. % 1.79/2.00 ** KEPT (pick-wt=10): 23 [] converse(join(A,B))=join(converse(A),converse(B)). % 1.79/2.00 ---> New Demodulator: 24 [new_demod,23] converse(join(A,B))=join(converse(A),converse(B)). % 1.79/2.00 ** KEPT (pick-wt=10): 25 [] converse(composition(A,B))=composition(converse(B),converse(A)). % 1.79/2.00 ---> New Demodulator: 26 [new_demod,25] converse(composition(A,B))=composition(converse(B),converse(A)). % 1.79/2.00 ** KEPT (pick-wt=13): 27 [] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B). % 1.79/2.00 ---> New Demodulator: 28 [new_demod,27] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B). % 1.79/2.00 ** KEPT (pick-wt=6): 30 [copy,29,flip.1] join(A,complement(A))=top. % 1.79/2.00 ---> New Demodulator: 31 [new_demod,30] join(A,complement(A))=top. % 1.79/2.00 ** KEPT (pick-wt=6): 33 [copy,32,flip.1] meet(A,complement(A))=zero. % 1.79/2.00 ---> New Demodulator: 34 [new_demod,33] meet(A,complement(A))=zero. % 1.79/2.00 ** 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))). % 1.79/2.00 ---> 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))). % 1.79/2.00 ** 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). % 1.79/2.00 ---> 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). % 1.79/2.00 ** 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). % 1.79/2.00 ---> 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). % 1.79/2.00 ** KEPT (pick-wt=5): 41 [] join($c3,$c2)=$c2. % 1.90/2.08 ---> New Demodulator: 42 [new_demod,41] join($c3,$c2)=$c2. % 1.90/2.08 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A. % 1.90/2.08 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] join(A,B)=join(B,A). % 1.90/2.08 >>>> Starting back demodulation with 6. % 1.90/2.08 >>>> Starting back demodulation with 9. % 1.90/2.08 >>>> Starting back demodulation with 12. % 1.90/2.08 >> back demodulating 8 with 12. % 1.90/2.08 >>>> Starting back demodulation with 15. % 1.90/2.08 >>>> Starting back demodulation with 17. % 1.90/2.08 >>>> Starting back demodulation with 20. % 1.90/2.08 >> back demodulating 1 with 20. % 1.90/2.08 >>>> Starting back demodulation with 22. % 1.90/2.08 >>>> Starting back demodulation with 24. % 1.90/2.08 >>>> Starting back demodulation with 26. % 1.90/2.08 >>>> Starting back demodulation with 28. % 1.90/2.08 >>>> Starting back demodulation with 31. % 1.90/2.08 >>>> Starting back demodulation with 34. % 1.90/2.08 >>>> Starting back demodulation with 36. % 1.90/2.08 >>>> Starting back demodulation with 38. % 1.90/2.08 >>>> Starting back demodulation with 40. % 1.90/2.08 >>>> Starting back demodulation with 42. % 1.90/2.08 >>>> Starting back demodulation with 44. % 1.90/2.08 % 1.90/2.08 ======= end of input processing ======= % 1.90/2.08 % 1.90/2.08 =========== start of search =========== % 1.90/2.08 % 1.90/2.08 % 1.90/2.08 Resetting weight limit to 9. % 1.90/2.08 % 1.90/2.08 % 1.90/2.08 Resetting weight limit to 9. % 1.90/2.08 % 1.90/2.08 sos_size=112 % 1.90/2.08 % 1.90/2.08 % 1.90/2.08 Resetting weight limit to 8. % 1.90/2.08 % 1.90/2.08 % 1.90/2.08 Resetting weight limit to 8. % 1.90/2.08 % 1.90/2.08 sos_size=84 % 1.90/2.08 % 1.90/2.08 % 1.90/2.08 Resetting weight limit to 7. % 1.90/2.08 % 1.90/2.08 % 1.90/2.08 Resetting weight limit to 7. % 1.90/2.08 % 1.90/2.08 sos_size=41 % 1.90/2.08 % 1.90/2.08 Search stopped because sos empty. % 1.90/2.08 % 1.90/2.08 % 1.90/2.08 Search stopped because sos empty. % 1.90/2.08 % 1.90/2.08 ============ end of search ============ % 1.90/2.08 % 1.90/2.08 -------------- statistics ------------- % 1.90/2.08 clauses given 237 % 1.90/2.08 clauses generated 10147 % 1.90/2.08 clauses kept 343 % 1.90/2.08 clauses forward subsumed 4496 % 1.90/2.08 clauses back subsumed 0 % 1.90/2.08 Kbytes malloced 7812 % 1.90/2.08 % 1.90/2.08 ----------- times (seconds) ----------- % 1.90/2.08 user CPU time 0.07 (0 hr, 0 min, 0 sec) % 1.90/2.08 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 1.90/2.08 wall-clock time 1 (0 hr, 0 min, 1 sec) % 1.90/2.08 % 1.90/2.08 Process 3844 finished Wed Jul 27 09:58:56 2022 % 1.90/2.08 Otter interrupted % 1.90/2.08 PROOF NOT FOUND %------------------------------------------------------------------------------