%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : KLE050+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n016.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 13:00:37 EDT 2022 % Result : Unknown 28.39s 28.60s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : KLE050+2 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : otter-tptp-script %s % 0.12/0.33 % Computer : n016.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 06:52:07 EDT 2022 % 0.12/0.33 % CPUTime : % 1.74/1.96 ----- Otter 3.3f, August 2004 ----- % 1.74/1.96 The process was started by sandbox on n016.cluster.edu, % 1.74/1.96 Wed Jul 27 06:52:07 2022 % 1.74/1.96 The command was "./otter". The process ID is 9917. % 1.74/1.96 % 1.74/1.96 set(prolog_style_variables). % 1.74/1.96 set(auto). % 1.74/1.96 dependent: set(auto1). % 1.74/1.96 dependent: set(process_input). % 1.74/1.96 dependent: clear(print_kept). % 1.74/1.96 dependent: clear(print_new_demod). % 1.74/1.96 dependent: clear(print_back_demod). % 1.74/1.96 dependent: clear(print_back_sub). % 1.74/1.96 dependent: set(control_memory). % 1.74/1.96 dependent: assign(max_mem, 12000). % 1.74/1.96 dependent: assign(pick_given_ratio, 4). % 1.74/1.96 dependent: assign(stats_level, 1). % 1.74/1.96 dependent: assign(max_seconds, 10800). % 1.74/1.96 clear(print_given). % 1.74/1.96 % 1.74/1.96 formula_list(usable). % 1.74/1.96 all A (A=A). % 1.74/1.96 all A B (addition(A,B)=addition(B,A)). % 1.74/1.96 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)). % 1.74/1.96 all A (addition(A,zero)=A). % 1.74/1.96 all A (addition(A,A)=A). % 1.74/1.96 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)). % 1.74/1.96 all A (multiplication(A,one)=A). % 1.74/1.96 all A (multiplication(one,A)=A). % 1.74/1.96 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))). % 1.74/1.96 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))). % 1.74/1.96 all A (multiplication(A,zero)=zero). % 1.74/1.96 all A (multiplication(zero,A)=zero). % 1.74/1.96 all A B (le_q(A,B)<->addition(A,B)=B). % 1.74/1.96 all A le_q(addition(one,multiplication(A,star(A))),star(A)). % 1.74/1.96 all A le_q(addition(one,multiplication(star(A),A)),star(A)). % 1.74/1.96 all A B C (le_q(addition(multiplication(A,B),C),B)->le_q(multiplication(star(A),C),B)). % 1.74/1.96 all A B C (le_q(addition(multiplication(A,B),C),A)->le_q(multiplication(C,star(B)),A)). % 1.74/1.96 all X0 (test(X0)<-> (exists X1 complement(X1,X0))). % 1.74/1.96 all X0 X1 (complement(X1,X0)<->multiplication(X0,X1)=zero&multiplication(X1,X0)=zero&addition(X0,X1)=one). % 1.74/1.96 all X0 X1 (test(X0)-> (c(X0)=X1<->complement(X0,X1))). % 1.74/1.96 all X0 (-test(X0)->c(X0)=zero). % 1.74/1.96 -(all X0 X1 X2 X3 (test(X2)&test(X3)->le_q(multiplication(star(multiplication(multiplication(multiplication(X2,X0),star(multiplication(X3,X1))),c(X3))),c(X2)),addition(multiplication(multiplication(multiplication(multiplication(X2,X0),addition(X2,X3)),star(addition(multiplication(X3,X1),multiplication(c(X3),X0)))),c(addition(X2,X3))),c(X2)))&le_q(addition(multiplication(multiplication(multiplication(multiplication(X2,X0),addition(X2,X3)),star(addition(multiplication(X3,X1),multiplication(c(X3),X0)))),c(addition(X2,X3))),c(X2)),multiplication(star(multiplication(multiplication(multiplication(X2,X0),star(multiplication(X3,X1))),c(X3))),c(X2))))). % 1.74/1.97 end_of_list. % 1.74/1.97 % 1.74/1.97 -------> usable clausifies to: % 1.74/1.97 % 1.74/1.97 list(usable). % 1.74/1.97 0 [] A=A. % 1.74/1.97 0 [] addition(A,B)=addition(B,A). % 1.74/1.97 0 [] addition(A,addition(B,C))=addition(addition(A,B),C). % 1.74/1.97 0 [] addition(A,zero)=A. % 1.74/1.97 0 [] addition(A,A)=A. % 1.74/1.97 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C). % 1.74/1.97 0 [] multiplication(A,one)=A. % 1.74/1.97 0 [] multiplication(one,A)=A. % 1.74/1.97 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.74/1.97 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 1.74/1.97 0 [] multiplication(A,zero)=zero. % 1.74/1.97 0 [] multiplication(zero,A)=zero. % 1.74/1.97 0 [] -le_q(A,B)|addition(A,B)=B. % 1.74/1.97 0 [] le_q(A,B)|addition(A,B)!=B. % 1.74/1.97 0 [] le_q(addition(one,multiplication(A,star(A))),star(A)). % 1.74/1.97 0 [] le_q(addition(one,multiplication(star(A),A)),star(A)). % 1.74/1.97 0 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B). % 1.74/1.97 0 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A). % 1.74/1.97 0 [] -test(X0)|complement($f1(X0),X0). % 1.74/1.97 0 [] test(X0)| -complement(X1,X0). % 1.74/1.97 0 [] -complement(X1,X0)|multiplication(X0,X1)=zero. % 1.74/1.97 0 [] -complement(X1,X0)|multiplication(X1,X0)=zero. % 1.74/1.97 0 [] -complement(X1,X0)|addition(X0,X1)=one. % 1.74/1.97 0 [] complement(X1,X0)|multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero|addition(X0,X1)!=one. % 1.74/1.97 0 [] -test(X0)|c(X0)!=X1|complement(X0,X1). % 1.74/1.97 0 [] -test(X0)|c(X0)=X1| -complement(X0,X1). % 1.74/1.97 0 [] test(X0)|c(X0)=zero. % 1.74/1.97 0 [] test($c2). % 1.74/1.97 0 [] test($c1). % 1.74/1.97 0 [] -le_q(multiplication(star(multiplication(multiplication(multiplication($c2,$c4),star(multiplication($c1,$c3))),c($c1))),c($c2)),addition(multiplication(multiplication(multiplication(multiplication($c2,$c4),addition($c2,$c1)),star(addition(multiplication($c1,$c3),multiplication(c($c1),$c4)))),c(addition($c2,$c1))),c($c2)))| -le_q(addition(multiplication(multiplication(multiplication(multiplication($c2,$c4),addition($c2,$c1)),star(addition(multiplication($c1,$c3),multiplication(c($c1),$c4)))),c(addition($c2,$c1))),c($c2)),multiplication(star(multiplication(multiplication(multiplication($c2,$c4),star(multiplication($c1,$c3))),c($c1))),c($c2))). % 1.74/1.97 end_of_list. % 1.74/1.97 % 1.74/1.97 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4. % 1.74/1.97 % 1.74/1.97 This ia a non-Horn set with equality. The strategy will be % 1.74/1.97 Knuth-Bendix, ordered hyper_res, factoring, and unit % 1.74/1.97 deletion, with positive clauses in sos and nonpositive % 1.74/1.97 clauses in usable. % 1.74/1.97 % 1.74/1.97 dependent: set(knuth_bendix). % 1.74/1.97 dependent: set(anl_eq). % 1.74/1.97 dependent: set(para_from). % 1.74/1.97 dependent: set(para_into). % 1.74/1.97 dependent: clear(para_from_right). % 1.74/1.97 dependent: clear(para_into_right). % 1.74/1.97 dependent: set(para_from_vars). % 1.74/1.97 dependent: set(eq_units_both_ways). % 1.74/1.97 dependent: set(dynamic_demod_all). % 1.74/1.97 dependent: set(dynamic_demod). % 1.74/1.97 dependent: set(order_eq). % 1.74/1.97 dependent: set(back_demod). % 1.74/1.97 dependent: set(lrpo). % 1.74/1.97 dependent: set(hyper_res). % 1.74/1.97 dependent: set(unit_deletion). % 1.74/1.97 dependent: set(factor). % 1.74/1.97 % 1.74/1.97 ------------> process usable: % 1.74/1.97 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B. % 1.74/1.97 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B. % 1.74/1.97 ** KEPT (pick-wt=13): 3 [] -le_q(addition(multiplication(A,B),C),B)|le_q(multiplication(star(A),C),B). % 1.74/1.97 ** KEPT (pick-wt=13): 4 [] -le_q(addition(multiplication(A,B),C),A)|le_q(multiplication(C,star(B)),A). % 1.74/1.97 ** KEPT (pick-wt=6): 5 [] -test(A)|complement($f1(A),A). % 1.74/1.97 ** KEPT (pick-wt=5): 6 [] test(A)| -complement(B,A). % 1.74/1.97 ** KEPT (pick-wt=8): 7 [] -complement(A,B)|multiplication(B,A)=zero. % 1.74/1.97 ** KEPT (pick-wt=8): 8 [] -complement(A,B)|multiplication(A,B)=zero. % 1.74/1.97 ** KEPT (pick-wt=8): 9 [] -complement(A,B)|addition(B,A)=one. % 1.74/1.97 ** KEPT (pick-wt=18): 10 [] complement(A,B)|multiplication(B,A)!=zero|multiplication(A,B)!=zero|addition(B,A)!=one. % 1.74/1.97 ** KEPT (pick-wt=9): 11 [] -test(A)|c(A)!=B|complement(A,B). % 1.74/1.97 ** KEPT (pick-wt=9): 12 [] -test(A)|c(A)=B| -complement(A,B). % 1.74/1.97 ** KEPT (pick-wt=82): 13 [] -le_q(multiplication(star(multiplication(multiplication(multiplication($c2,$c4),star(multiplication($c1,$c3))),c($c1))),c($c2)),addition(multiplication(multiplication(multiplication(multiplication($c2,$c4),addition($c2,$c1)),star(addition(multiplication($c1,$c3),multiplication(c($c1),$c4)))),c(addition($c2,$c1))),c($c2)))| -le_q(addition(multiplication(multiplication(multiplication(multiplication($c2,$c4),addition($c2,$c1)),star(addition(multiplication($c1,$c3),multiplication(c($c1),$c4)))),c(addition($c2,$c1))),c($c2)),multiplication(star(multiplication(multiplication(multiplication($c2,$c4),star(multiplication($c1,$c3))),c($c1))),c($c2))). % 1.74/1.97 % 1.74/1.97 ------------> process sos: % 1.74/1.97 ** KEPT (pick-wt=3): 15 [] A=A. % 1.74/1.97 ** KEPT (pick-wt=7): 16 [] addition(A,B)=addition(B,A). % 1.74/1.97 ** KEPT (pick-wt=11): 18 [copy,17,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)). % 1.74/1.97 ---> New Demodulator: 19 [new_demod,18] addition(addition(A,B),C)=addition(A,addition(B,C)). % 1.74/1.97 ** KEPT (pick-wt=5): 20 [] addition(A,zero)=A. % 1.74/1.97 ---> New Demodulator: 21 [new_demod,20] addition(A,zero)=A. % 1.74/1.97 ** KEPT (pick-wt=5): 22 [] addition(A,A)=A. % 1.74/1.97 ---> New Demodulator: 23 [new_demod,22] addition(A,A)=A. % 1.74/1.97 ** KEPT (pick-wt=11): 25 [copy,24,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)). % 1.74/1.97 ---> New Demodulator: 26 [new_demod,25] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)). % 1.74/1.97 ** KEPT (pick-wt=5): 27 [] multiplication(A,one)=A. % 1.74/1.97 ---> New Demodulator: 28 [new_demod,27] multiplication(A,one)=A. % 1.74/1.97 ** KEPT (pick-wt=5): 29 [] multiplication(one,A)=A. % 1.74/1.97 ---> New Demodulator: 30 [new_demod,29] multiplication(one,A)=A. % 1.74/1.97 ** KEPT (pick-wt=13): 31 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.74/1.97 ---> New Demodulator: 32 [new_demod,31] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.74/1.97 ** KEPT (pick-wt=13): 33 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 28.39/28.60 ---> New Demodulator: 34 [new_demod,33] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 28.39/28.60 ** KEPT (pick-wt=5): 35 [] multiplication(A,zero)=zero. % 28.39/28.60 ---> New Demodulator: 36 [new_demod,35] multiplication(A,zero)=zero. % 28.39/28.60 ** KEPT (pick-wt=5): 37 [] multiplication(zero,A)=zero. % 28.39/28.60 ---> New Demodulator: 38 [new_demod,37] multiplication(zero,A)=zero. % 28.39/28.60 ** KEPT (pick-wt=9): 39 [] le_q(addition(one,multiplication(A,star(A))),star(A)). % 28.39/28.60 ** KEPT (pick-wt=9): 40 [] le_q(addition(one,multiplication(star(A),A)),star(A)). % 28.39/28.60 ** KEPT (pick-wt=6): 41 [] test(A)|c(A)=zero. % 28.39/28.60 ** KEPT (pick-wt=2): 42 [] test($c2). % 28.39/28.60 ** KEPT (pick-wt=2): 43 [] test($c1). % 28.39/28.60 Following clause subsumed by 15 during input processing: 0 [copy,15,flip.1] A=A. % 28.39/28.60 Following clause subsumed by 16 during input processing: 0 [copy,16,flip.1] addition(A,B)=addition(B,A). % 28.39/28.60 >>>> Starting back demodulation with 19. % 28.39/28.60 >>>> Starting back demodulation with 21. % 28.39/28.60 >>>> Starting back demodulation with 23. % 28.39/28.60 >> back demodulating 14 with 23. % 28.39/28.60 >>>> Starting back demodulation with 26. % 28.39/28.60 >> back demodulating 13 with 26. % 28.39/28.60 >>>> Starting back demodulation with 28. % 28.39/28.60 >>>> Starting back demodulation with 30. % 28.39/28.60 >>>> Starting back demodulation with 32. % 28.39/28.60 >>>> Starting back demodulation with 34. % 28.39/28.60 >>>> Starting back demodulation with 36. % 28.39/28.60 >>>> Starting back demodulation with 38. % 28.39/28.60 % 28.39/28.60 ======= end of input processing ======= % 28.39/28.60 % 28.39/28.60 =========== start of search =========== % 28.39/28.60 % 28.39/28.60 % 28.39/28.60 Resetting weight limit to 7. % 28.39/28.60 % 28.39/28.60 % 28.39/28.60 Resetting weight limit to 7. % 28.39/28.60 % 28.39/28.60 sos_size=1661 % 28.39/28.60 % 28.39/28.60 Search stopped because sos empty. % 28.39/28.60 % 28.39/28.60 % 28.39/28.60 Search stopped because sos empty. % 28.39/28.60 % 28.39/28.60 ============ end of search ============ % 28.39/28.60 % 28.39/28.60 -------------- statistics ------------- % 28.39/28.60 clauses given 1714 % 28.39/28.60 clauses generated 1280053 % 28.39/28.60 clauses kept 2510 % 28.39/28.60 clauses forward subsumed 49385 % 28.39/28.60 clauses back subsumed 639 % 28.39/28.60 Kbytes malloced 5859 % 28.39/28.60 % 28.39/28.60 ----------- times (seconds) ----------- % 28.39/28.60 user CPU time 26.63 (0 hr, 0 min, 26 sec) % 28.39/28.60 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 28.39/28.60 wall-clock time 28 (0 hr, 0 min, 28 sec) % 28.39/28.60 % 28.39/28.60 Process 9917 finished Wed Jul 27 06:52:35 2022 % 28.39/28.60 Otter interrupted % 28.39/28.60 PROOF NOT FOUND %------------------------------------------------------------------------------