%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : REL040+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n004.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 13:11:57 EDT 2022 % Result : Unknown 1.90s 2.10s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : REL040+3 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : otter-tptp-script %s % 0.12/0.34 % Computer : n004.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 10:01:51 EDT 2022 % 0.12/0.34 % CPUTime : % 1.81/1.99 ----- Otter 3.3f, August 2004 ----- % 1.81/1.99 The process was started by sandbox2 on n004.cluster.edu, % 1.81/1.99 Wed Jul 27 10:01:51 2022 % 1.81/1.99 The command was "./otter". The process ID is 4539. % 1.81/1.99 % 1.81/1.99 set(prolog_style_variables). % 1.81/1.99 set(auto). % 1.81/1.99 dependent: set(auto1). % 1.81/1.99 dependent: set(process_input). % 1.81/1.99 dependent: clear(print_kept). % 1.81/1.99 dependent: clear(print_new_demod). % 1.81/1.99 dependent: clear(print_back_demod). % 1.81/1.99 dependent: clear(print_back_sub). % 1.81/1.99 dependent: set(control_memory). % 1.81/1.99 dependent: assign(max_mem, 12000). % 1.81/1.99 dependent: assign(pick_given_ratio, 4). % 1.81/1.99 dependent: assign(stats_level, 1). % 1.81/1.99 dependent: assign(max_seconds, 10800). % 1.81/1.99 clear(print_given). % 1.81/1.99 % 1.81/1.99 formula_list(usable). % 1.81/1.99 all A (A=A). % 1.81/1.99 all X0 X1 (join(X0,X1)=join(X1,X0)). % 1.81/1.99 all X0 X1 X2 (join(X0,join(X1,X2))=join(join(X0,X1),X2)). % 1.81/1.99 all X0 X1 (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))). % 1.81/1.99 all X0 X1 (meet(X0,X1)=complement(join(complement(X0),complement(X1)))). % 1.81/1.99 all X0 X1 X2 (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2)). % 1.81/1.99 all X0 (composition(X0,one)=X0). % 1.81/1.99 all X0 X1 X2 (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2))). % 1.81/1.99 all X0 (converse(converse(X0))=X0). % 1.81/1.99 all X0 X1 (converse(join(X0,X1))=join(converse(X0),converse(X1))). % 1.81/1.99 all X0 X1 (converse(composition(X0,X1))=composition(converse(X1),converse(X0))). % 1.81/1.99 all X0 X1 (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1)). % 1.81/1.99 all X0 (top=join(X0,complement(X0))). % 1.81/1.99 all X0 (zero=meet(X0,complement(X0))). % 1.81/1.99 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)))). % 1.81/1.99 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)). % 1.81/1.99 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)). % 1.81/1.99 -(all X0 X1 X2 (join(composition(converse(X0),X0),one)=one->composition(X0,meet(X1,X2))=meet(composition(X0,X1),composition(X0,X2)))). % 1.81/1.99 end_of_list. % 1.81/1.99 % 1.81/1.99 -------> usable clausifies to: % 1.81/1.99 % 1.81/1.99 list(usable). % 1.81/1.99 0 [] A=A. % 1.81/1.99 0 [] join(X0,X1)=join(X1,X0). % 1.81/1.99 0 [] join(X0,join(X1,X2))=join(join(X0,X1),X2). % 1.81/1.99 0 [] X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))). % 1.81/1.99 0 [] meet(X0,X1)=complement(join(complement(X0),complement(X1))). % 1.81/1.99 0 [] composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2). % 1.81/1.99 0 [] composition(X0,one)=X0. % 1.81/1.99 0 [] composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)). % 1.81/1.99 0 [] converse(converse(X0))=X0. % 1.81/1.99 0 [] converse(join(X0,X1))=join(converse(X0),converse(X1)). % 1.81/1.99 0 [] converse(composition(X0,X1))=composition(converse(X1),converse(X0)). % 1.81/1.99 0 [] join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1). % 1.81/1.99 0 [] top=join(X0,complement(X0)). % 1.81/1.99 0 [] zero=meet(X0,complement(X0)). % 1.81/1.99 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))). % 1.81/1.99 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). % 1.81/1.99 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). % 1.81/1.99 0 [] join(composition(converse($c3),$c3),one)=one. % 1.81/1.99 0 [] composition($c3,meet($c2,$c1))!=meet(composition($c3,$c2),composition($c3,$c1)). % 1.81/1.99 end_of_list. % 1.81/1.99 % 1.81/1.99 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1. % 1.81/1.99 % 1.81/1.99 All clauses are units, and equality is present; the % 1.81/1.99 strategy will be Knuth-Bendix with positive clauses in sos. % 1.81/1.99 % 1.81/1.99 dependent: set(knuth_bendix). % 1.81/1.99 dependent: set(anl_eq). % 1.81/1.99 dependent: set(para_from). % 1.81/1.99 dependent: set(para_into). % 1.81/1.99 dependent: clear(para_from_right). % 1.81/1.99 dependent: clear(para_into_right). % 1.81/1.99 dependent: set(para_from_vars). % 1.81/1.99 dependent: set(eq_units_both_ways). % 1.81/1.99 dependent: set(dynamic_demod_all). % 1.81/1.99 dependent: set(dynamic_demod). % 1.81/1.99 dependent: set(order_eq). % 1.81/1.99 dependent: set(back_demod). % 1.81/1.99 dependent: set(lrpo). % 1.81/1.99 % 1.81/1.99 ------------> process usable: % 1.81/1.99 ** KEPT (pick-wt=13): 2 [copy,1,flip.1] meet(composition($c3,$c2),composition($c3,$c1))!=composition($c3,meet($c2,$c1)). % 1.81/1.99 % 1.81/1.99 ------------> process sos: % 1.81/1.99 ** KEPT (pick-wt=3): 3 [] A=A. % 1.81/1.99 ** KEPT (pick-wt=7): 4 [] join(A,B)=join(B,A). % 1.81/1.99 ** KEPT (pick-wt=11): 6 [copy,5,flip.1] join(join(A,B),C)=join(A,join(B,C)). % 1.81/1.99 ---> New Demodulator: 7 [new_demod,6] join(join(A,B),C)=join(A,join(B,C)). % 1.81/1.99 ** KEPT (pick-wt=14): 9 [copy,8,flip.1] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A. % 1.81/1.99 ---> New Demodulator: 10 [new_demod,9] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A. % 1.81/1.99 ** KEPT (pick-wt=10): 12 [copy,11,flip.1] complement(join(complement(A),complement(B)))=meet(A,B). % 1.81/1.99 ---> New Demodulator: 13 [new_demod,12] complement(join(complement(A),complement(B)))=meet(A,B). % 1.81/1.99 ** KEPT (pick-wt=11): 15 [copy,14,flip.1] composition(composition(A,B),C)=composition(A,composition(B,C)). % 1.81/1.99 ---> New Demodulator: 16 [new_demod,15] composition(composition(A,B),C)=composition(A,composition(B,C)). % 1.81/1.99 ** KEPT (pick-wt=5): 17 [] composition(A,one)=A. % 1.81/1.99 ---> New Demodulator: 18 [new_demod,17] composition(A,one)=A. % 1.81/1.99 ** KEPT (pick-wt=13): 20 [copy,19,flip.1] join(composition(A,B),composition(C,B))=composition(join(A,C),B). % 1.81/1.99 ---> New Demodulator: 21 [new_demod,20] join(composition(A,B),composition(C,B))=composition(join(A,C),B). % 1.81/1.99 ** KEPT (pick-wt=5): 22 [] converse(converse(A))=A. % 1.81/1.99 ---> New Demodulator: 23 [new_demod,22] converse(converse(A))=A. % 1.81/1.99 ** KEPT (pick-wt=10): 24 [] converse(join(A,B))=join(converse(A),converse(B)). % 1.81/1.99 ---> New Demodulator: 25 [new_demod,24] converse(join(A,B))=join(converse(A),converse(B)). % 1.81/1.99 ** KEPT (pick-wt=10): 26 [] converse(composition(A,B))=composition(converse(B),converse(A)). % 1.81/1.99 ---> New Demodulator: 27 [new_demod,26] converse(composition(A,B))=composition(converse(B),converse(A)). % 1.81/1.99 ** KEPT (pick-wt=13): 28 [] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B). % 1.81/1.99 ---> New Demodulator: 29 [new_demod,28] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B). % 1.81/1.99 ** KEPT (pick-wt=6): 31 [copy,30,flip.1] join(A,complement(A))=top. % 1.81/1.99 ---> New Demodulator: 32 [new_demod,31] join(A,complement(A))=top. % 1.81/1.99 ** KEPT (pick-wt=6): 34 [copy,33,flip.1] meet(A,complement(A))=zero. % 1.81/1.99 ---> New Demodulator: 35 [new_demod,34] meet(A,complement(A))=zero. % 1.81/1.99 ** KEPT (pick-wt=33): 36 [] 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))). % 1.81/1.99 ---> New Demodulator: 37 [new_demod,36] 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))). % 1.81/1.99 ** KEPT (pick-wt=27): 38 [] 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). % 1.81/1.99 ---> New Demodulator: 39 [new_demod,38] 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). % 1.81/1.99 ** KEPT (pick-wt=27): 40 [] 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). % 1.81/1.99 ---> New Demodulator: 41 [new_demod,40] 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). % 1.81/1.99 ** KEPT (pick-wt=8): 42 [] join(composition(converse($c3),$c3),one)=one. % 1.81/1.99 ---> New Demodulator: 43 [new_demod,42] join(composition(converse($c3),$c3),one)=one. % 1.81/1.99 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A. % 1.90/2.10 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] join(A,B)=join(B,A). % 1.90/2.10 >>>> Starting back demodulation with 7. % 1.90/2.10 >>>> Starting back demodulation with 10. % 1.90/2.10 >>>> Starting back demodulation with 13. % 1.90/2.10 >> back demodulating 9 with 13. % 1.90/2.10 >>>> Starting back demodulation with 16. % 1.90/2.10 >>>> Starting back demodulation with 18. % 1.90/2.10 >>>> Starting back demodulation with 21. % 1.90/2.10 >>>> Starting back demodulation with 23. % 1.90/2.10 >>>> Starting back demodulation with 25. % 1.90/2.10 >>>> Starting back demodulation with 27. % 1.90/2.10 >>>> Starting back demodulation with 29. % 1.90/2.10 >>>> Starting back demodulation with 32. % 1.90/2.10 >>>> Starting back demodulation with 35. % 1.90/2.10 >>>> Starting back demodulation with 37. % 1.90/2.10 >>>> Starting back demodulation with 39. % 1.90/2.10 >>>> Starting back demodulation with 41. % 1.90/2.10 >>>> Starting back demodulation with 43. % 1.90/2.10 >>>> Starting back demodulation with 45. % 1.90/2.10 % 1.90/2.10 ======= end of input processing ======= % 1.90/2.10 % 1.90/2.10 =========== start of search =========== % 1.90/2.10 % 1.90/2.10 % 1.90/2.10 Resetting weight limit to 9. % 1.90/2.10 % 1.90/2.10 % 1.90/2.10 Resetting weight limit to 9. % 1.90/2.10 % 1.90/2.10 sos_size=120 % 1.90/2.10 % 1.90/2.10 % 1.90/2.10 Resetting weight limit to 8. % 1.90/2.10 % 1.90/2.10 % 1.90/2.10 Resetting weight limit to 8. % 1.90/2.10 % 1.90/2.10 sos_size=62 % 1.90/2.10 % 1.90/2.10 Search stopped because sos empty. % 1.90/2.10 % 1.90/2.10 % 1.90/2.10 Search stopped because sos empty. % 1.90/2.10 % 1.90/2.10 ============ end of search ============ % 1.90/2.10 % 1.90/2.10 -------------- statistics ------------- % 1.90/2.10 clauses given 201 % 1.90/2.10 clauses generated 7889 % 1.90/2.10 clauses kept 334 % 1.90/2.10 clauses forward subsumed 3291 % 1.90/2.10 clauses back subsumed 0 % 1.90/2.10 Kbytes malloced 6835 % 1.90/2.10 % 1.90/2.10 ----------- times (seconds) ----------- % 1.90/2.10 user CPU time 0.11 (0 hr, 0 min, 0 sec) % 1.90/2.10 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 1.90/2.10 wall-clock time 2 (0 hr, 0 min, 2 sec) % 1.90/2.10 % 1.90/2.10 Process 4539 finished Wed Jul 27 10:01:53 2022 % 1.90/2.10 Otter interrupted % 1.90/2.10 PROOF NOT FOUND 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