%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : KLE166+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n020.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 13:00:54 EDT 2022 % Result : Unknown 108.13s 108.30s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : KLE166+1 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : otter-tptp-script %s % 0.12/0.33 % Computer : n020.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 06:31:23 EDT 2022 % 0.12/0.33 % CPUTime : % 1.93/2.11 ----- Otter 3.3f, August 2004 ----- % 1.93/2.11 The process was started by sandbox on n020.cluster.edu, % 1.93/2.11 Wed Jul 27 06:31:23 2022 % 1.93/2.11 The command was "./otter". The process ID is 20100. % 1.93/2.11 % 1.93/2.11 set(prolog_style_variables). % 1.93/2.11 set(auto). % 1.93/2.11 dependent: set(auto1). % 1.93/2.11 dependent: set(process_input). % 1.93/2.11 dependent: clear(print_kept). % 1.93/2.11 dependent: clear(print_new_demod). % 1.93/2.11 dependent: clear(print_back_demod). % 1.93/2.11 dependent: clear(print_back_sub). % 1.93/2.11 dependent: set(control_memory). % 1.93/2.11 dependent: assign(max_mem, 12000). % 1.93/2.11 dependent: assign(pick_given_ratio, 4). % 1.93/2.11 dependent: assign(stats_level, 1). % 1.93/2.11 dependent: assign(max_seconds, 10800). % 1.93/2.11 clear(print_given). % 1.93/2.11 % 1.93/2.11 formula_list(usable). % 1.93/2.11 all A (A=A). % 1.93/2.11 all A B (addition(A,B)=addition(B,A)). % 1.93/2.11 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)). % 1.93/2.11 all A (addition(A,zero)=A). % 1.93/2.11 all A (addition(A,A)=A). % 1.93/2.11 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)). % 1.93/2.11 all A (multiplication(A,one)=A). % 1.93/2.11 all A (multiplication(one,A)=A). % 1.93/2.11 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))). % 1.93/2.11 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))). % 1.93/2.11 all A (multiplication(zero,A)=zero). % 1.93/2.11 all A (addition(one,multiplication(A,star(A)))=star(A)). % 1.93/2.11 all A (addition(one,multiplication(star(A),A))=star(A)). % 1.93/2.11 all A B C (le_q(addition(multiplication(A,C),B),C)->le_q(multiplication(star(A),B),C)). % 1.93/2.11 all A B C (le_q(addition(multiplication(C,A),B),C)->le_q(multiplication(B,star(A)),C)). % 1.93/2.11 all A (strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one)). % 1.93/2.11 all A B C (le_q(C,addition(multiplication(A,C),B))->le_q(C,multiplication(strong_iteration(A),B))). % 1.93/2.11 all A (strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero))). % 1.93/2.11 all A B (le_q(A,B)<->addition(A,B)=B). % 1.93/2.11 -(all X0 X1 (le_q(multiplication(X0,X1),multiplication(X1,strong_iteration(addition(X1,X0))))-> (multiplication(strong_iteration(addition(X1,X0)),zero)=zero<->addition(multiplication(strong_iteration(X1),zero),multiplication(strong_iteration(X0),zero))=zero))). % 1.93/2.11 end_of_list. % 1.93/2.11 % 1.93/2.11 -------> usable clausifies to: % 1.93/2.11 % 1.93/2.11 list(usable). % 1.93/2.11 0 [] A=A. % 1.93/2.11 0 [] addition(A,B)=addition(B,A). % 1.93/2.11 0 [] addition(A,addition(B,C))=addition(addition(A,B),C). % 1.93/2.11 0 [] addition(A,zero)=A. % 1.93/2.11 0 [] addition(A,A)=A. % 1.93/2.11 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C). % 1.93/2.11 0 [] multiplication(A,one)=A. % 1.93/2.11 0 [] multiplication(one,A)=A. % 1.93/2.11 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.93/2.11 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 1.93/2.11 0 [] multiplication(zero,A)=zero. % 1.93/2.11 0 [] addition(one,multiplication(A,star(A)))=star(A). % 1.93/2.11 0 [] addition(one,multiplication(star(A),A))=star(A). % 1.93/2.11 0 [] -le_q(addition(multiplication(A,C),B),C)|le_q(multiplication(star(A),B),C). % 1.93/2.11 0 [] -le_q(addition(multiplication(C,A),B),C)|le_q(multiplication(B,star(A)),C). % 1.93/2.11 0 [] strong_iteration(A)=addition(multiplication(A,strong_iteration(A)),one). % 1.93/2.11 0 [] -le_q(C,addition(multiplication(A,C),B))|le_q(C,multiplication(strong_iteration(A),B)). % 1.93/2.11 0 [] strong_iteration(A)=addition(star(A),multiplication(strong_iteration(A),zero)). % 1.93/2.11 0 [] -le_q(A,B)|addition(A,B)=B. % 1.93/2.11 0 [] le_q(A,B)|addition(A,B)!=B. % 1.93/2.11 0 [] le_q(multiplication($c2,$c1),multiplication($c1,strong_iteration(addition($c1,$c2)))). % 1.93/2.11 0 [] multiplication(strong_iteration(addition($c1,$c2)),zero)=zero|addition(multiplication(strong_iteration($c1),zero),multiplication(strong_iteration($c2),zero))=zero. % 1.93/2.11 0 [] multiplication(strong_iteration(addition($c1,$c2)),zero)!=zero|addition(multiplication(strong_iteration($c1),zero),multiplication(strong_iteration($c2),zero))!=zero. % 1.93/2.11 end_of_list. % 1.93/2.11 % 1.93/2.11 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=2. % 1.93/2.11 % 1.93/2.11 This ia a non-Horn set with equality. The strategy will be % 1.93/2.11 Knuth-Bendix, ordered hyper_res, factoring, and unit % 1.93/2.11 deletion, with positive clauses in sos and nonpositive % 1.93/2.11 clauses in usable. % 1.93/2.11 % 1.93/2.11 dependent: set(knuth_bendix). % 1.93/2.11 dependent: set(anl_eq). % 1.93/2.11 dependent: set(para_from). % 1.93/2.11 dependent: set(para_into). % 1.93/2.11 dependent: clear(para_from_right). % 1.93/2.11 dependent: clear(para_into_right). % 1.93/2.11 dependent: set(para_from_vars). % 1.93/2.11 dependent: set(eq_units_both_ways). % 1.93/2.11 dependent: set(dynamic_demod_all). % 1.93/2.11 dependent: set(dynamic_demod). % 1.93/2.11 dependent: set(order_eq). % 1.93/2.11 dependent: set(back_demod). % 1.93/2.11 dependent: set(lrpo). % 1.93/2.11 dependent: set(hyper_res). % 1.93/2.11 dependent: set(unit_deletion). % 1.93/2.11 dependent: set(factor). % 1.93/2.11 % 1.93/2.11 ------------> process usable: % 1.93/2.11 ** KEPT (pick-wt=13): 1 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B). % 1.93/2.11 ** KEPT (pick-wt=13): 2 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A). % 1.93/2.11 ** KEPT (pick-wt=13): 3 [] -le_q(A,addition(multiplication(B,A),C))|le_q(A,multiplication(strong_iteration(B),C)). % 1.93/2.11 ** KEPT (pick-wt=8): 4 [] -le_q(A,B)|addition(A,B)=B. % 1.93/2.11 ** KEPT (pick-wt=8): 5 [] le_q(A,B)|addition(A,B)!=B. % 1.93/2.11 ** KEPT (pick-wt=19): 6 [] multiplication(strong_iteration(addition($c1,$c2)),zero)!=zero|addition(multiplication(strong_iteration($c1),zero),multiplication(strong_iteration($c2),zero))!=zero. % 1.93/2.11 % 1.93/2.11 ------------> process sos: % 1.93/2.11 ** KEPT (pick-wt=3): 7 [] A=A. % 1.93/2.11 ** KEPT (pick-wt=7): 8 [] addition(A,B)=addition(B,A). % 1.93/2.11 ** KEPT (pick-wt=11): 10 [copy,9,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)). % 1.93/2.11 ---> New Demodulator: 11 [new_demod,10] addition(addition(A,B),C)=addition(A,addition(B,C)). % 1.93/2.11 ** KEPT (pick-wt=5): 12 [] addition(A,zero)=A. % 1.93/2.11 ---> New Demodulator: 13 [new_demod,12] addition(A,zero)=A. % 1.93/2.11 ** KEPT (pick-wt=5): 14 [] addition(A,A)=A. % 1.93/2.11 ---> New Demodulator: 15 [new_demod,14] addition(A,A)=A. % 1.93/2.11 ** KEPT (pick-wt=11): 17 [copy,16,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)). % 1.93/2.11 ---> New Demodulator: 18 [new_demod,17] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)). % 1.93/2.11 ** KEPT (pick-wt=5): 19 [] multiplication(A,one)=A. % 1.93/2.11 ---> New Demodulator: 20 [new_demod,19] multiplication(A,one)=A. % 1.93/2.11 ** KEPT (pick-wt=5): 21 [] multiplication(one,A)=A. % 1.93/2.11 ---> New Demodulator: 22 [new_demod,21] multiplication(one,A)=A. % 1.93/2.11 ** KEPT (pick-wt=13): 23 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.93/2.11 ---> New Demodulator: 24 [new_demod,23] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.93/2.11 ** KEPT (pick-wt=13): 25 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 1.93/2.11 ---> New Demodulator: 26 [new_demod,25] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 1.93/2.11 ** KEPT (pick-wt=5): 27 [] multiplication(zero,A)=zero. % 1.93/2.11 ---> New Demodulator: 28 [new_demod,27] multiplication(zero,A)=zero. % 1.93/2.11 ** KEPT (pick-wt=9): 29 [] addition(one,multiplication(A,star(A)))=star(A). % 1.93/2.11 ---> New Demodulator: 30 [new_demod,29] addition(one,multiplication(A,star(A)))=star(A). % 1.93/2.11 ** KEPT (pick-wt=9): 31 [] addition(one,multiplication(star(A),A))=star(A). % 1.93/2.11 ---> New Demodulator: 32 [new_demod,31] addition(one,multiplication(star(A),A))=star(A). % 1.93/2.11 ** KEPT (pick-wt=9): 34 [copy,33,flip.1] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A). % 1.93/2.11 ---> New Demodulator: 35 [new_demod,34] addition(multiplication(A,strong_iteration(A)),one)=strong_iteration(A). % 1.93/2.11 ** KEPT (pick-wt=10): 37 [copy,36,flip.1] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A). % 1.93/2.11 ---> New Demodulator: 38 [new_demod,37] addition(star(A),multiplication(strong_iteration(A),zero))=strong_iteration(A). % 1.93/2.11 ** KEPT (pick-wt=10): 39 [] le_q(multiplication($c2,$c1),multiplication($c1,strong_iteration(addition($c1,$c2)))). % 1.93/2.11 ** KEPT (pick-wt=19): 40 [] multiplication(strong_iteration(addition($c1,$c2)),zero)=zero|addition(multiplication(strong_iteration($c1),zero),multiplication(strong_iteration($c2),zero))=zero. % 1.93/2.11 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A. % 1.93/2.11 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] addition(A,B)=addition(B,A). % 1.93/2.11 >>>> Starting back demodulation with 11. % 1.93/2.11 >>>> Starting back demodulation with 13. % 1.93/2.11 >>>> Starting back demodulation with 15. % 1.93/2.11 >>>> Starting back demodulation with 18. % 1.93/2.11 >>>> Starting back demodulation with 20. % 1.93/2.11 >>>> Starting back demodulation with 22. % 108.13/108.30 >>>> Starting back demodulation with 24. % 108.13/108.30 >>>> Starting back demodulation with 26. % 108.13/108.30 >>>> Starting back demodulation with 28. % 108.13/108.30 >>>> Starting back demodulation with 30. % 108.13/108.30 >>>> Starting back demodulation with 32. % 108.13/108.30 >>>> Starting back demodulation with 35. % 108.13/108.30 >>>> Starting back demodulation with 38. % 108.13/108.30 % 108.13/108.30 ======= end of input processing ======= % 108.13/108.30 % 108.13/108.30 =========== start of search =========== % 108.13/108.30 % 108.13/108.30 % 108.13/108.30 Resetting weight limit to 9. % 108.13/108.30 % 108.13/108.30 % 108.13/108.30 Resetting weight limit to 9. % 108.13/108.30 % 108.13/108.30 sos_size=1174 % 108.13/108.30 % 108.13/108.30 % 108.13/108.30 Resetting weight limit to 8. % 108.13/108.30 % 108.13/108.30 % 108.13/108.30 Resetting weight limit to 8. % 108.13/108.30 % 108.13/108.30 sos_size=1153 % 108.13/108.30 % 108.13/108.30 Search stopped because sos empty. % 108.13/108.30 % 108.13/108.30 % 108.13/108.30 Search stopped because sos empty. % 108.13/108.30 % 108.13/108.30 ============ end of search ============ % 108.13/108.30 % 108.13/108.30 -------------- statistics ------------- % 108.13/108.30 clauses given 1932 % 108.13/108.30 clauses generated 1867858 % 108.13/108.30 clauses kept 2543 % 108.13/108.30 clauses forward subsumed 295385 % 108.13/108.30 clauses back subsumed 609 % 108.13/108.30 Kbytes malloced 7812 % 108.13/108.30 % 108.13/108.30 ----------- times (seconds) ----------- % 108.13/108.30 user CPU time 106.19 (0 hr, 1 min, 46 sec) % 108.13/108.30 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 108.13/108.30 wall-clock time 108 (0 hr, 1 min, 48 sec) % 108.13/108.30 % 108.13/108.30 Process 20100 finished Wed Jul 27 06:33:11 2022 % 108.13/108.30 Otter interrupted % 108.13/108.30 PROOF NOT FOUND %------------------------------------------------------------------------------