%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : KLE032+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n018.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 121.96s 122.16s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KLE032+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : otter-tptp-script %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Jul 27 06:32:01 EDT 2022 % 0.13/0.34 % CPUTime : % 1.73/1.94 ----- Otter 3.3f, August 2004 ----- % 1.73/1.94 The process was started by sandbox2 on n018.cluster.edu, % 1.73/1.94 Wed Jul 27 06:32:01 2022 % 1.73/1.94 The command was "./otter". The process ID is 31531. % 1.73/1.94 % 1.73/1.94 set(prolog_style_variables). % 1.73/1.94 set(auto). % 1.73/1.94 dependent: set(auto1). % 1.73/1.94 dependent: set(process_input). % 1.73/1.94 dependent: clear(print_kept). % 1.73/1.94 dependent: clear(print_new_demod). % 1.73/1.94 dependent: clear(print_back_demod). % 1.73/1.94 dependent: clear(print_back_sub). % 1.73/1.94 dependent: set(control_memory). % 1.73/1.94 dependent: assign(max_mem, 12000). % 1.73/1.94 dependent: assign(pick_given_ratio, 4). % 1.73/1.94 dependent: assign(stats_level, 1). % 1.73/1.94 dependent: assign(max_seconds, 10800). % 1.73/1.94 clear(print_given). % 1.73/1.94 % 1.73/1.94 formula_list(usable). % 1.73/1.94 all A (A=A). % 1.73/1.94 all A B (addition(A,B)=addition(B,A)). % 1.73/1.94 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)). % 1.73/1.94 all A (addition(A,zero)=A). % 1.73/1.94 all A (addition(A,A)=A). % 1.73/1.94 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)). % 1.73/1.94 all A (multiplication(A,one)=A). % 1.73/1.94 all A (multiplication(one,A)=A). % 1.73/1.94 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))). % 1.73/1.94 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))). % 1.73/1.94 all A (multiplication(A,zero)=zero). % 1.73/1.94 all A (multiplication(zero,A)=zero). % 1.73/1.94 all A B (le_q(A,B)<->addition(A,B)=B). % 1.73/1.94 all X0 (test(X0)<-> (exists X1 complement(X1,X0))). % 1.73/1.94 all X0 X1 (complement(X1,X0)<->multiplication(X0,X1)=zero&multiplication(X1,X0)=zero&addition(X0,X1)=one). % 1.73/1.94 all X0 X1 (test(X0)-> (c(X0)=X1<->complement(X0,X1))). % 1.73/1.94 all X0 (-test(X0)->c(X0)=zero). % 1.73/1.94 all X0 X1 X2 (ismeet(X2,X0,X1)<->le_q(X2,X0)&le_q(X2,X1)& (all X3 (le_q(X3,X0)&le_q(X3,X1)->le_q(X3,X2)))). % 1.73/1.94 all X0 X1 X2 (ismeetu(X2,X0,X1)<-> (all X3 (le_q(X3,X0)&le_q(X3,X1)<->le_q(X3,X2)))). % 1.73/1.94 -(all X0 X1 X2 (test(X2)&test(X1)->ismeet(multiplication(multiplication(X1,X2),X0),multiplication(X1,X0),multiplication(X2,X0)))). % 1.73/1.94 end_of_list. % 1.73/1.94 % 1.73/1.94 -------> usable clausifies to: % 1.73/1.94 % 1.73/1.94 list(usable). % 1.73/1.94 0 [] A=A. % 1.73/1.94 0 [] addition(A,B)=addition(B,A). % 1.73/1.94 0 [] addition(A,addition(B,C))=addition(addition(A,B),C). % 1.73/1.94 0 [] addition(A,zero)=A. % 1.73/1.94 0 [] addition(A,A)=A. % 1.73/1.94 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C). % 1.73/1.94 0 [] multiplication(A,one)=A. % 1.73/1.94 0 [] multiplication(one,A)=A. % 1.73/1.94 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.73/1.94 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 1.73/1.94 0 [] multiplication(A,zero)=zero. % 1.73/1.94 0 [] multiplication(zero,A)=zero. % 1.73/1.94 0 [] -le_q(A,B)|addition(A,B)=B. % 1.73/1.94 0 [] le_q(A,B)|addition(A,B)!=B. % 1.73/1.94 0 [] -test(X0)|complement($f1(X0),X0). % 1.73/1.94 0 [] test(X0)| -complement(X1,X0). % 1.73/1.94 0 [] -complement(X1,X0)|multiplication(X0,X1)=zero. % 1.73/1.94 0 [] -complement(X1,X0)|multiplication(X1,X0)=zero. % 1.73/1.94 0 [] -complement(X1,X0)|addition(X0,X1)=one. % 1.73/1.94 0 [] complement(X1,X0)|multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero|addition(X0,X1)!=one. % 1.73/1.94 0 [] -test(X0)|c(X0)!=X1|complement(X0,X1). % 1.73/1.94 0 [] -test(X0)|c(X0)=X1| -complement(X0,X1). % 1.73/1.94 0 [] test(X0)|c(X0)=zero. % 1.73/1.94 0 [] -ismeet(X2,X0,X1)|le_q(X2,X0). % 1.73/1.94 0 [] -ismeet(X2,X0,X1)|le_q(X2,X1). % 1.73/1.94 0 [] -ismeet(X2,X0,X1)| -le_q(X3,X0)| -le_q(X3,X1)|le_q(X3,X2). % 1.73/1.94 0 [] ismeet(X2,X0,X1)| -le_q(X2,X0)| -le_q(X2,X1)|le_q($f2(X0,X1,X2),X0). % 1.73/1.94 0 [] ismeet(X2,X0,X1)| -le_q(X2,X0)| -le_q(X2,X1)|le_q($f2(X0,X1,X2),X1). % 1.73/1.94 0 [] ismeet(X2,X0,X1)| -le_q(X2,X0)| -le_q(X2,X1)| -le_q($f2(X0,X1,X2),X2). % 1.73/1.94 0 [] -ismeetu(X2,X0,X1)| -le_q(X3,X0)| -le_q(X3,X1)|le_q(X3,X2). % 1.73/1.94 0 [] -ismeetu(X2,X0,X1)|le_q(X3,X0)| -le_q(X3,X2). % 1.73/1.94 0 [] -ismeetu(X2,X0,X1)|le_q(X3,X1)| -le_q(X3,X2). % 1.73/1.94 0 [] ismeetu(X2,X0,X1)|le_q($f3(X0,X1,X2),X0)|le_q($f3(X0,X1,X2),X2). % 1.73/1.94 0 [] ismeetu(X2,X0,X1)|le_q($f3(X0,X1,X2),X1)|le_q($f3(X0,X1,X2),X2). % 1.73/1.94 0 [] ismeetu(X2,X0,X1)| -le_q($f3(X0,X1,X2),X0)| -le_q($f3(X0,X1,X2),X1)| -le_q($f3(X0,X1,X2),X2). % 1.73/1.94 0 [] test($c1). % 1.73/1.94 0 [] test($c2). % 1.73/1.94 0 [] -ismeet(multiplication(multiplication($c2,$c1),$c3),multiplication($c2,$c3),multiplication($c1,$c3)). % 1.73/1.94 end_of_list. % 1.73/1.94 % 1.73/1.94 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4. % 1.73/1.94 % 1.73/1.94 This ia a non-Horn set with equality. The strategy will be % 1.73/1.94 Knuth-Bendix, ordered hyper_res, factoring, and unit % 1.73/1.94 deletion, with positive clauses in sos and nonpositive % 1.73/1.94 clauses in usable. % 1.73/1.94 % 1.73/1.94 dependent: set(knuth_bendix). % 1.73/1.94 dependent: set(anl_eq). % 1.73/1.94 dependent: set(para_from). % 1.73/1.94 dependent: set(para_into). % 1.73/1.94 dependent: clear(para_from_right). % 1.73/1.94 dependent: clear(para_into_right). % 1.73/1.94 dependent: set(para_from_vars). % 1.73/1.94 dependent: set(eq_units_both_ways). % 1.73/1.94 dependent: set(dynamic_demod_all). % 1.73/1.94 dependent: set(dynamic_demod). % 1.73/1.94 dependent: set(order_eq). % 1.73/1.94 dependent: set(back_demod). % 1.73/1.94 dependent: set(lrpo). % 1.73/1.94 dependent: set(hyper_res). % 1.73/1.94 dependent: set(unit_deletion). % 1.73/1.94 dependent: set(factor). % 1.73/1.94 % 1.73/1.94 ------------> process usable: % 1.73/1.94 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B. % 1.73/1.94 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B. % 1.73/1.94 ** KEPT (pick-wt=6): 3 [] -test(A)|complement($f1(A),A). % 1.73/1.94 ** KEPT (pick-wt=5): 4 [] test(A)| -complement(B,A). % 1.73/1.94 ** KEPT (pick-wt=8): 5 [] -complement(A,B)|multiplication(B,A)=zero. % 1.73/1.94 ** KEPT (pick-wt=8): 6 [] -complement(A,B)|multiplication(A,B)=zero. % 1.73/1.94 ** KEPT (pick-wt=8): 7 [] -complement(A,B)|addition(B,A)=one. % 1.73/1.94 ** KEPT (pick-wt=18): 8 [] complement(A,B)|multiplication(B,A)!=zero|multiplication(A,B)!=zero|addition(B,A)!=one. % 1.73/1.94 ** KEPT (pick-wt=9): 9 [] -test(A)|c(A)!=B|complement(A,B). % 1.73/1.94 ** KEPT (pick-wt=9): 10 [] -test(A)|c(A)=B| -complement(A,B). % 1.73/1.94 ** KEPT (pick-wt=7): 11 [] -ismeet(A,B,C)|le_q(A,B). % 1.73/1.94 ** KEPT (pick-wt=7): 12 [] -ismeet(A,B,C)|le_q(A,C). % 1.73/1.94 ** KEPT (pick-wt=13): 13 [] -ismeet(A,B,C)| -le_q(D,B)| -le_q(D,C)|le_q(D,A). % 1.73/1.94 ** KEPT (pick-wt=16): 14 [] ismeet(A,B,C)| -le_q(A,B)| -le_q(A,C)|le_q($f2(B,C,A),B). % 1.73/1.94 ** KEPT (pick-wt=16): 15 [] ismeet(A,B,C)| -le_q(A,B)| -le_q(A,C)|le_q($f2(B,C,A),C). % 1.73/1.94 ** KEPT (pick-wt=16): 16 [] ismeet(A,B,C)| -le_q(A,B)| -le_q(A,C)| -le_q($f2(B,C,A),A). % 1.73/1.94 ** KEPT (pick-wt=13): 17 [] -ismeetu(A,B,C)| -le_q(D,B)| -le_q(D,C)|le_q(D,A). % 1.73/1.94 ** KEPT (pick-wt=10): 18 [] -ismeetu(A,B,C)|le_q(D,B)| -le_q(D,A). % 1.73/1.94 ** KEPT (pick-wt=10): 19 [] -ismeetu(A,B,C)|le_q(D,C)| -le_q(D,A). % 1.73/1.94 ** KEPT (pick-wt=22): 20 [] ismeetu(A,B,C)| -le_q($f3(B,C,A),B)| -le_q($f3(B,C,A),C)| -le_q($f3(B,C,A),A). % 1.73/1.94 ** KEPT (pick-wt=12): 21 [] -ismeet(multiplication(multiplication($c2,$c1),$c3),multiplication($c2,$c3),multiplication($c1,$c3)). % 1.73/1.94 % 1.73/1.94 ------------> process sos: % 1.73/1.94 ** KEPT (pick-wt=3): 31 [] A=A. % 1.73/1.94 ** KEPT (pick-wt=7): 32 [] addition(A,B)=addition(B,A). % 1.73/1.94 ** KEPT (pick-wt=11): 34 [copy,33,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)). % 1.73/1.94 ---> New Demodulator: 35 [new_demod,34] addition(addition(A,B),C)=addition(A,addition(B,C)). % 1.73/1.94 ** KEPT (pick-wt=5): 36 [] addition(A,zero)=A. % 1.73/1.94 ---> New Demodulator: 37 [new_demod,36] addition(A,zero)=A. % 1.73/1.94 ** KEPT (pick-wt=5): 38 [] addition(A,A)=A. % 1.73/1.94 ---> New Demodulator: 39 [new_demod,38] addition(A,A)=A. % 1.73/1.94 ** KEPT (pick-wt=11): 41 [copy,40,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)). % 1.73/1.94 ---> New Demodulator: 42 [new_demod,41] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)). % 1.73/1.94 ** KEPT (pick-wt=5): 43 [] multiplication(A,one)=A. % 1.73/1.94 ---> New Demodulator: 44 [new_demod,43] multiplication(A,one)=A. % 1.73/1.94 ** KEPT (pick-wt=5): 45 [] multiplication(one,A)=A. % 1.73/1.94 ---> New Demodulator: 46 [new_demod,45] multiplication(one,A)=A. % 1.73/1.94 ** KEPT (pick-wt=13): 47 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.73/1.94 ---> New Demodulator: 48 [new_demod,47] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)). % 1.73/1.94 ** KEPT (pick-wt=13): 49 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 1.73/1.94 ---> New Demodulator: 50 [new_demod,49] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)). % 1.73/1.94 ** KEPT (pick-wt=5): 51 [] multiplication(A,zero)=zero. % 1.73/1.94 ---> New Demodulator: 52 [new_demod,51] multiplication(A,zero)=zero. % 1.73/1.94 ** KEPT (pick-wt=5): 53 [] multiplication(zero,A)=zero. % 1.73/1.94 ---> New Demodulator: 54 [new_demod,53] multiplication(zero,A)=zero. % 1.73/1.94 ** KEPT (pick-wt=6): 55 [] test(A)|c(A)=zero. % 1.73/1.94 ** KEPT (pick-wt=16): 56 [] ismeetu(A,B,C)|le_q($f3(B,C,A),B)|le_q($f3(B,C,A),A). % 1.73/1.94 ** KEPT (pick-wt=16): 57 [] ismeetu(A,B,C)|le_q($f3(B,C,A),C)|le_q($f3(B,C,A),A). % 1.73/1.94 ** KEPT (pick-wt=2): 58 [] test($c1). % 1.73/1.94 ** KEPT (pick-wt=2): 59 [] test($c2). % 121.96/122.16 Following clause subsumed by 31 during input processing: 0 [copy,31,flip.1] A=A. % 121.96/122.16 Following clause subsumed by 32 during input processing: 0 [copy,32,flip.1] addition(A,B)=addition(B,A). % 121.96/122.16 >>>> Starting back demodulation with 35. % 121.96/122.16 >>>> Starting back demodulation with 37. % 121.96/122.16 >>>> Starting back demodulation with 39. % 121.96/122.16 >> back demodulating 22 with 39. % 121.96/122.16 >>>> Starting back demodulation with 42. % 121.96/122.16 >> back demodulating 21 with 42. % 121.96/122.16 >>>> Starting back demodulation with 44. % 121.96/122.16 >>>> Starting back demodulation with 46. % 121.96/122.16 >>>> Starting back demodulation with 48. % 121.96/122.16 >>>> Starting back demodulation with 50. % 121.96/122.16 >>>> Starting back demodulation with 52. % 121.96/122.16 >>>> Starting back demodulation with 54. % 121.96/122.16 % 121.96/122.16 ======= end of input processing ======= % 121.96/122.16 % 121.96/122.16 =========== start of search =========== % 121.96/122.16 % 121.96/122.16 % 121.96/122.16 Resetting weight limit to 7. % 121.96/122.16 % 121.96/122.16 % 121.96/122.16 Resetting weight limit to 7. % 121.96/122.16 % 121.96/122.16 sos_size=2072 % 121.96/122.16 % 121.96/122.16 Search stopped because sos empty. % 121.96/122.16 % 121.96/122.16 % 121.96/122.16 Search stopped because sos empty. % 121.96/122.16 % 121.96/122.16 ============ end of search ============ % 121.96/122.16 % 121.96/122.16 -------------- statistics ------------- % 121.96/122.16 clauses given 2343 % 121.96/122.16 clauses generated 4220907 % 121.96/122.16 clauses kept 3571 % 121.96/122.16 clauses forward subsumed 68542 % 121.96/122.16 clauses back subsumed 1404 % 121.96/122.16 Kbytes malloced 5859 % 121.96/122.16 % 121.96/122.16 ----------- times (seconds) ----------- % 121.96/122.16 user CPU time 120.22 (0 hr, 2 min, 0 sec) % 121.96/122.16 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 121.96/122.16 wall-clock time 122 (0 hr, 2 min, 2 sec) % 121.96/122.16 % 121.96/122.16 Process 31531 finished Wed Jul 27 06:34:03 2022 % 121.96/122.16 Otter interrupted % 121.96/122.16 PROOF NOT FOUND %------------------------------------------------------------------------------