%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : KLE028+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 13:00:33 EDT 2022 % Result : Unknown 73.58s 73.80s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : KLE028+2 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.12 % 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 06:49:07 EDT 2022 % 0.12/0.33 % CPUTime : % 1.79/1.99 ----- Otter 3.3f, August 2004 ----- % 1.79/1.99 The process was started by sandbox on n016.cluster.edu, % 1.79/1.99 Wed Jul 27 06:49:07 2022 % 1.79/1.99 The command was "./otter". The process ID is 7201. % 1.79/1.99 % 1.79/1.99 set(prolog_style_variables). % 1.79/1.99 set(auto). % 1.79/1.99 dependent: set(auto1). % 1.79/1.99 dependent: set(process_input). % 1.79/1.99 dependent: clear(print_kept). % 1.79/1.99 dependent: clear(print_new_demod). % 1.79/1.99 dependent: clear(print_back_demod). % 1.79/1.99 dependent: clear(print_back_sub). % 1.79/1.99 dependent: set(control_memory). % 1.79/1.99 dependent: assign(max_mem, 12000). % 1.79/1.99 dependent: assign(pick_given_ratio, 4). % 1.79/1.99 dependent: assign(stats_level, 1). % 1.79/1.99 dependent: assign(max_seconds, 10800). % 1.79/1.99 clear(print_given). % 1.79/1.99 % 1.79/1.99 formula_list(usable). % 1.79/1.99 all A (A=A). % 1.79/1.99 all A B (addition(A,B)=addition(B,A)). % 1.79/1.99 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)). % 1.79/1.99 all A (addition(A,zero)=A). % 1.79/1.99 all A (addition(A,A)=A). % 1.79/1.99 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)). % 1.79/1.99 all A (multiplication(A,one)=A). % 1.79/1.99 all A (multiplication(one,A)=A). % 1.79/1.99 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))). % 1.79/1.99 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))). % 1.79/1.99 all A (multiplication(A,zero)=zero). % 1.79/1.99 all A (multiplication(zero,A)=zero). % 1.79/1.99 all A B (le_q(A,B)<->addition(A,B)=B). % 1.79/1.99 all X0 (test(X0)<-> (exists X1 complement(X1,X0))). % 1.79/1.99 all X0 X1 (complement(X1,X0)<->multiplication(X0,X1)=zero&multiplication(X1,X0)=zero&addition(X0,X1)=one). % 1.79/1.99 all X0 X1 (test(X0)-> (c(X0)=X1<->complement(X0,X1))). % 1.79/1.99 all X0 (-test(X0)->c(X0)=zero). % 1.79/1.99 -(all X0 X1 X2 X3 X4 X5 (test(X4)&test(X5)->le_q(addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3)))),addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))))&le_q(addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))),addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3))))))). % 1.79/1.99 end_of_list. % 1.79/1.99 % 1.79/1.99 -------> usable clausifies to: % 1.79/1.99 % 1.79/1.99 list(usable). % 1.79/1.99 0 [] A=A. % 1.79/1.99 0 [] addition(A,B)=addition(B,A). % 1.79/1.99 0 [] addition(A,addition(B,C))=addition(addition(A,B),C). % 1.79/1.99 0 [] addition(A,zero)=A. % 1.79/1.99 0 [] addition(A,A)=A. % 1.79/1.99 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C). % 1.79/1.99 0 [] multiplication(A,one)=A. % 1.79/1.99 0 [] multiplication(one,A)=A. % 1.79/1.99 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.79/1.99 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 1.79/1.99 0 [] multiplication(A,zero)=zero. % 1.79/1.99 0 [] multiplication(zero,A)=zero. % 1.79/1.99 0 [] -le_q(A,B)|addition(A,B)=B. % 1.79/1.99 0 [] le_q(A,B)|addition(A,B)!=B. % 1.79/1.99 0 [] -test(X0)|complement($f1(X0),X0). % 1.79/1.99 0 [] test(X0)| -complement(X1,X0). % 1.79/1.99 0 [] -complement(X1,X0)|multiplication(X0,X1)=zero. % 1.79/1.99 0 [] -complement(X1,X0)|multiplication(X1,X0)=zero. % 1.79/1.99 0 [] -complement(X1,X0)|addition(X0,X1)=one. % 1.79/1.99 0 [] complement(X1,X0)|multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero|addition(X0,X1)!=one. % 1.79/1.99 0 [] -test(X0)|c(X0)!=X1|complement(X0,X1). % 1.79/1.99 0 [] -test(X0)|c(X0)=X1| -complement(X0,X1). % 1.79/1.99 0 [] test(X0)|c(X0)=zero. % 1.79/1.99 0 [] test($c2). % 1.79/1.99 0 [] test($c1). % 1.79/1.99 0 [] -le_q(addition(multiplication($c2,addition(multiplication($c1,$c6),multiplication(c($c1),$c5))),multiplication(c($c2),addition(multiplication($c1,$c4),multiplication(c($c1),$c3)))),addition(multiplication($c1,addition(multiplication($c2,$c6),multiplication(c($c2),$c4))),multiplication(c($c1),addition(multiplication($c2,$c5),multiplication(c($c2),$c3)))))| -le_q(addition(multiplication($c1,addition(multiplication($c2,$c6),multiplication(c($c2),$c4))),multiplication(c($c1),addition(multiplication($c2,$c5),multiplication(c($c2),$c3)))),addition(multiplication($c2,addition(multiplication($c1,$c6),multiplication(c($c1),$c5))),multiplication(c($c2),addition(multiplication($c1,$c4),multiplication(c($c1),$c3))))). % 1.79/1.99 end_of_list. % 1.79/1.99 % 1.79/1.99 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4. % 1.79/1.99 % 1.79/1.99 This ia a non-Horn set with equality. The strategy will be % 1.79/1.99 Knuth-Bendix, ordered hyper_res, factoring, and unit % 1.79/1.99 deletion, with positive clauses in sos and nonpositive % 1.79/1.99 clauses in usable. % 1.79/1.99 % 1.79/1.99 dependent: set(knuth_bendix). % 1.79/1.99 dependent: set(anl_eq). % 1.79/1.99 dependent: set(para_from). % 1.79/1.99 dependent: set(para_into). % 1.79/1.99 dependent: clear(para_from_right). % 1.79/1.99 dependent: clear(para_into_right). % 1.79/1.99 dependent: set(para_from_vars). % 1.79/1.99 dependent: set(eq_units_both_ways). % 1.79/1.99 dependent: set(dynamic_demod_all). % 1.79/1.99 dependent: set(dynamic_demod). % 1.79/1.99 dependent: set(order_eq). % 1.79/1.99 dependent: set(back_demod). % 1.79/1.99 dependent: set(lrpo). % 1.79/1.99 dependent: set(hyper_res). % 1.79/1.99 dependent: set(unit_deletion). % 1.79/1.99 dependent: set(factor). % 1.79/1.99 % 1.79/1.99 ------------> process usable: % 1.79/1.99 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B. % 1.79/1.99 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B. % 1.79/1.99 ** KEPT (pick-wt=6): 3 [] -test(A)|complement($f1(A),A). % 1.79/1.99 ** KEPT (pick-wt=5): 4 [] test(A)| -complement(B,A). % 1.79/1.99 ** KEPT (pick-wt=8): 5 [] -complement(A,B)|multiplication(B,A)=zero. % 1.79/1.99 ** KEPT (pick-wt=8): 6 [] -complement(A,B)|multiplication(A,B)=zero. % 1.79/1.99 ** KEPT (pick-wt=8): 7 [] -complement(A,B)|addition(B,A)=one. % 1.79/1.99 ** KEPT (pick-wt=18): 8 [] complement(A,B)|multiplication(B,A)!=zero|multiplication(A,B)!=zero|addition(B,A)!=one. % 1.79/1.99 ** KEPT (pick-wt=9): 9 [] -test(A)|c(A)!=B|complement(A,B). % 1.79/1.99 ** KEPT (pick-wt=9): 10 [] -test(A)|c(A)=B| -complement(A,B). % 1.79/1.99 ** KEPT (pick-wt=90): 11 [] -le_q(addition(multiplication($c2,addition(multiplication($c1,$c6),multiplication(c($c1),$c5))),multiplication(c($c2),addition(multiplication($c1,$c4),multiplication(c($c1),$c3)))),addition(multiplication($c1,addition(multiplication($c2,$c6),multiplication(c($c2),$c4))),multiplication(c($c1),addition(multiplication($c2,$c5),multiplication(c($c2),$c3)))))| -le_q(addition(multiplication($c1,addition(multiplication($c2,$c6),multiplication(c($c2),$c4))),multiplication(c($c1),addition(multiplication($c2,$c5),multiplication(c($c2),$c3)))),addition(multiplication($c2,addition(multiplication($c1,$c6),multiplication(c($c1),$c5))),multiplication(c($c2),addition(multiplication($c1,$c4),multiplication(c($c1),$c3))))). % 1.79/1.99 % 1.79/1.99 ------------> process sos: % 1.79/1.99 ** KEPT (pick-wt=3): 13 [] A=A. % 1.79/1.99 ** KEPT (pick-wt=7): 14 [] addition(A,B)=addition(B,A). % 1.79/1.99 ** KEPT (pick-wt=11): 16 [copy,15,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)). % 1.79/1.99 ---> New Demodulator: 17 [new_demod,16] addition(addition(A,B),C)=addition(A,addition(B,C)). % 1.79/1.99 ** KEPT (pick-wt=5): 18 [] addition(A,zero)=A. % 1.79/1.99 ---> New Demodulator: 19 [new_demod,18] addition(A,zero)=A. % 1.79/1.99 ** KEPT (pick-wt=5): 20 [] addition(A,A)=A. % 1.79/1.99 ---> New Demodulator: 21 [new_demod,20] addition(A,A)=A. % 1.79/1.99 ** KEPT (pick-wt=11): 23 [copy,22,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)). % 1.79/1.99 ---> New Demodulator: 24 [new_demod,23] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)). % 1.79/1.99 ** KEPT (pick-wt=5): 25 [] multiplication(A,one)=A. % 1.79/1.99 ---> New Demodulator: 26 [new_demod,25] multiplication(A,one)=A. % 1.79/1.99 ** KEPT (pick-wt=5): 27 [] multiplication(one,A)=A. % 1.79/1.99 ---> New Demodulator: 28 [new_demod,27] multiplication(one,A)=A. % 1.79/1.99 ** KEPT (pick-wt=13): 29 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.79/1.99 ---> New Demodulator: 30 [new_demod,29] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.79/1.99 ** KEPT (pick-wt=13): 31 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 1.79/1.99 ---> New Demodulator: 32 [new_demod,31] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 1.79/1.99 ** KEPT (pick-wt=5): 33 [] multiplication(A,zero)=zero. % 1.79/1.99 ---> New Demodulator: 34 [new_demod,33] multiplication(A,zero)=zero. % 1.79/1.99 ** KEPT (pick-wt=5): 35 [] multiplication(zero,A)=zero. % 1.79/1.99 ---> New Demodulator: 36 [new_demod,35] multiplication(zero,A)=zero. % 1.79/1.99 ** KEPT (pick-wt=6): 37 [] test(A)|c(A)=zero. % 1.79/1.99 ** KEPT (pick-wt=2): 38 [] test($c2). % 1.79/1.99 ** KEPT (pick-wt=2): 39 [] test($c1). % 1.79/1.99 Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] A=A. % 73.58/73.80 Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] addition(A,B)=addition(B,A). % 73.58/73.80 >>>> Starting back demodulation with 17. % 73.58/73.80 >>>> Starting back demodulation with 19. % 73.58/73.80 >>>> Starting back demodulation with 21. % 73.58/73.80 >> back demodulating 12 with 21. % 73.58/73.80 >>>> Starting back demodulation with 24. % 73.58/73.80 >>>> Starting back demodulation with 26. % 73.58/73.80 >>>> Starting back demodulation with 28. % 73.58/73.80 >>>> Starting back demodulation with 30. % 73.58/73.80 >> back demodulating 11 with 30. % 73.58/73.80 >>>> Starting back demodulation with 32. % 73.58/73.80 >>>> Starting back demodulation with 34. % 73.58/73.80 >>>> Starting back demodulation with 36. % 73.58/73.80 % 73.58/73.80 ======= end of input processing ======= % 73.58/73.80 % 73.58/73.80 =========== start of search =========== % 73.58/73.80 % 73.58/73.80 % 73.58/73.80 Resetting weight limit to 7. % 73.58/73.80 % 73.58/73.80 % 73.58/73.80 Resetting weight limit to 7. % 73.58/73.80 % 73.58/73.80 sos_size=1831 % 73.58/73.80 % 73.58/73.80 Search stopped because sos empty. % 73.58/73.80 % 73.58/73.80 % 73.58/73.80 Search stopped because sos empty. % 73.58/73.80 % 73.58/73.80 ============ end of search ============ % 73.58/73.80 % 73.58/73.80 -------------- statistics ------------- % 73.58/73.80 clauses given 1764 % 73.58/73.80 clauses generated 2555282 % 73.58/73.80 clauses kept 2694 % 73.58/73.80 clauses forward subsumed 40648 % 73.58/73.80 clauses back subsumed 601 % 73.58/73.80 Kbytes malloced 5859 % 73.58/73.80 % 73.58/73.80 ----------- times (seconds) ----------- % 73.58/73.80 user CPU time 71.79 (0 hr, 1 min, 11 sec) % 73.58/73.80 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 73.58/73.80 wall-clock time 73 (0 hr, 1 min, 13 sec) % 73.58/73.80 % 73.58/73.80 Process 7201 finished Wed Jul 27 06:50:20 2022 % 73.58/73.80 Otter interrupted % 73.58/73.80 PROOF NOT FOUND 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