%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM374+3 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n012.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 13:08:10 EDT 2022 % Result : Unknown 2.73s 3.00s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : NUM374+3 : TPTP v8.1.0. Released v3.2.0. % 0.10/0.12 % Command : otter-tptp-script %s % 0.12/0.33 % Computer : n012.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 09:44:35 EDT 2022 % 0.12/0.33 % CPUTime : % 1.75/1.95 ----- Otter 3.3f, August 2004 ----- % 1.75/1.95 The process was started by sandbox2 on n012.cluster.edu, % 1.75/1.95 Wed Jul 27 09:44:35 2022 % 1.75/1.95 The command was "./otter". The process ID is 13359. % 1.75/1.95 % 1.75/1.95 set(prolog_style_variables). % 1.75/1.95 set(auto). % 1.75/1.95 dependent: set(auto1). % 1.75/1.95 dependent: set(process_input). % 1.75/1.95 dependent: clear(print_kept). % 1.75/1.95 dependent: clear(print_new_demod). % 1.75/1.95 dependent: clear(print_back_demod). % 1.75/1.95 dependent: clear(print_back_sub). % 1.75/1.95 dependent: set(control_memory). % 1.75/1.95 dependent: assign(max_mem, 12000). % 1.75/1.95 dependent: assign(pick_given_ratio, 4). % 1.75/1.95 dependent: assign(stats_level, 1). % 1.75/1.95 dependent: assign(max_seconds, 10800). % 1.75/1.95 clear(print_given). % 1.75/1.95 % 1.75/1.95 formula_list(usable). % 1.75/1.95 all A (A=A). % 1.75/1.95 all X Y (sum(X,Y)=sum(Y,X)). % 1.75/1.95 all X Y Z (sum(X,sum(Y,Z))=sum(sum(X,Y),Z)). % 1.75/1.95 all X (product(X,n1)=X). % 1.75/1.95 all X Y (product(X,Y)=product(Y,X)). % 1.75/1.95 all X Y Z (product(X,product(Y,Z))=product(product(X,Y),Z)). % 1.75/1.95 all X Y Z (product(X,sum(Y,Z))=sum(product(X,Y),product(X,Z))). % 1.75/1.95 all X (exponent(n1,X)=n1). % 1.75/1.95 all X (exponent(X,n1)=X). % 1.75/1.95 all X Y Z (exponent(X,sum(Y,Z))=product(exponent(X,Y),exponent(X,Z))). % 1.75/1.95 all X Y Z (exponent(product(X,Y),Z)=product(exponent(X,Z),exponent(Y,Z))). % 1.75/1.95 all X Y Z (exponent(exponent(X,Y),Z)=exponent(X,product(Y,Z))). % 1.75/1.95 n0!=n1. % 1.75/1.95 -(all C P Q R S B (C=product(n0,n0)&P=sum(n1,n0)&Q=sum(P,C)&R=sum(n1,product(n0,C))&S=sum(sum(n1,C),product(C,C))->product(exponent(sum(exponent(P,n0),exponent(Q,n0)),B),exponent(sum(exponent(R,B),exponent(S,B)),n0))=product(exponent(sum(exponent(P,B),exponent(Q,B)),n0),exponent(sum(exponent(R,n0),exponent(S,n0)),B)))). % 1.75/1.95 end_of_list. % 1.75/1.95 % 1.75/1.95 -------> usable clausifies to: % 1.75/1.95 % 1.75/1.95 list(usable). % 1.75/1.95 0 [] A=A. % 1.75/1.95 0 [] sum(X,Y)=sum(Y,X). % 1.75/1.95 0 [] sum(X,sum(Y,Z))=sum(sum(X,Y),Z). % 1.75/1.95 0 [] product(X,n1)=X. % 1.75/1.95 0 [] product(X,Y)=product(Y,X). % 1.75/1.95 0 [] product(X,product(Y,Z))=product(product(X,Y),Z). % 1.75/1.95 0 [] product(X,sum(Y,Z))=sum(product(X,Y),product(X,Z)). % 1.75/1.95 0 [] exponent(n1,X)=n1. % 1.75/1.95 0 [] exponent(X,n1)=X. % 1.75/1.95 0 [] exponent(X,sum(Y,Z))=product(exponent(X,Y),exponent(X,Z)). % 1.75/1.95 0 [] exponent(product(X,Y),Z)=product(exponent(X,Z),exponent(Y,Z)). % 1.75/1.95 0 [] exponent(exponent(X,Y),Z)=exponent(X,product(Y,Z)). % 1.75/1.95 0 [] n0!=n1. % 1.75/1.95 0 [] $c6=product(n0,n0). % 1.75/1.95 0 [] $c5=sum(n1,n0). % 1.75/1.95 0 [] $c4=sum($c5,$c6). % 1.75/1.95 0 [] $c3=sum(n1,product(n0,$c6)). % 1.75/1.95 0 [] $c2=sum(sum(n1,$c6),product($c6,$c6)). % 1.75/1.95 0 [] product(exponent(sum(exponent($c5,n0),exponent($c4,n0)),$c1),exponent(sum(exponent($c3,$c1),exponent($c2,$c1)),n0))!=product(exponent(sum(exponent($c5,$c1),exponent($c4,$c1)),n0),exponent(sum(exponent($c3,n0),exponent($c2,n0)),$c1)). % 1.75/1.95 end_of_list. % 1.75/1.95 % 1.75/1.95 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1. % 1.75/1.95 % 1.75/1.95 All clauses are units, and equality is present; the % 1.75/1.95 strategy will be Knuth-Bendix with positive clauses in sos. % 1.75/1.95 % 1.75/1.95 dependent: set(knuth_bendix). % 1.75/1.95 dependent: set(anl_eq). % 1.75/1.95 dependent: set(para_from). % 1.75/1.95 dependent: set(para_into). % 1.75/1.95 dependent: clear(para_from_right). % 1.75/1.95 dependent: clear(para_into_right). % 1.75/1.95 dependent: set(para_from_vars). % 1.75/1.95 dependent: set(eq_units_both_ways). % 1.75/1.95 dependent: set(dynamic_demod_all). % 1.75/1.95 dependent: set(dynamic_demod). % 1.75/1.95 dependent: set(order_eq). % 1.75/1.95 dependent: set(back_demod). % 1.75/1.95 dependent: set(lrpo). % 1.75/1.95 % 1.75/1.95 ------------> process usable: % 1.75/1.95 ** KEPT (pick-wt=3): 2 [copy,1,flip.1] n1!=n0. % 1.75/1.95 ** KEPT (pick-wt=39): 3 [] product(exponent(sum(exponent($c5,n0),exponent($c4,n0)),$c1),exponent(sum(exponent($c3,$c1),exponent($c2,$c1)),n0))!=product(exponent(sum(exponent($c5,$c1),exponent($c4,$c1)),n0),exponent(sum(exponent($c3,n0),exponent($c2,n0)),$c1)). % 1.75/1.95 % 1.75/1.95 ------------> process sos: % 1.75/1.95 ** KEPT (pick-wt=3): 4 [] A=A. % 1.75/1.95 ** KEPT (pick-wt=7): 5 [] sum(A,B)=sum(B,A). % 1.75/1.95 ** KEPT (pick-wt=11): 7 [copy,6,flip.1] sum(sum(A,B),C)=sum(A,sum(B,C)). % 1.75/1.95 ---> New Demodulator: 8 [new_demod,7] sum(sum(A,B),C)=sum(A,sum(B,C)). % 1.75/1.95 ** KEPT (pick-wt=5): 9 [] product(A,n1)=A. % 1.75/1.95 ---> New Demodulator: 10 [new_demod,9] product(A,n1)=A. % 1.75/1.95 ** KEPT (pick-wt=7): 11 [] product(A,B)=product(B,A). % 1.75/1.95 ** KEPT (pick-wt=11): 13 [copy,12,flip.1] product(product(A,B),C)=product(A,product(B,C)). % 1.75/1.95 ---> New Demodulator: 14 [new_demod,13] product(product(A,B),C)=product(A,product(B,C)). % 1.75/1.95 ** KEPT (pick-wt=13): 16 [copy,15,flip.1] sum(product(A,B),product(A,C))=product(A,sum(B,C)). % 1.75/1.95 ---> New Demodulator: 17 [new_demod,16] sum(product(A,B),product(A,C))=product(A,sum(B,C)). % 2.73/3.00 ** KEPT (pick-wt=5): 18 [] exponent(n1,A)=n1. % 2.73/3.00 ---> New Demodulator: 19 [new_demod,18] exponent(n1,A)=n1. % 2.73/3.00 ** KEPT (pick-wt=5): 20 [] exponent(A,n1)=A. % 2.73/3.00 ---> New Demodulator: 21 [new_demod,20] exponent(A,n1)=A. % 2.73/3.00 ** KEPT (pick-wt=13): 22 [] exponent(A,sum(B,C))=product(exponent(A,B),exponent(A,C)). % 2.73/3.00 ** KEPT (pick-wt=13): 24 [copy,23,flip.1] product(exponent(A,B),exponent(C,B))=exponent(product(A,C),B). % 2.73/3.00 ---> New Demodulator: 25 [new_demod,24] product(exponent(A,B),exponent(C,B))=exponent(product(A,C),B). % 2.73/3.00 ** KEPT (pick-wt=11): 26 [] exponent(exponent(A,B),C)=exponent(A,product(B,C)). % 2.73/3.00 ** KEPT (pick-wt=5): 28 [copy,27,flip.1] product(n0,n0)=$c6. % 2.73/3.00 ---> New Demodulator: 29 [new_demod,28] product(n0,n0)=$c6. % 2.73/3.00 ** KEPT (pick-wt=5): 31 [copy,30,flip.1] sum(n1,n0)=$c5. % 2.73/3.00 ---> New Demodulator: 32 [new_demod,31] sum(n1,n0)=$c5. % 2.73/3.00 ** KEPT (pick-wt=5): 34 [copy,33,flip.1] sum($c5,$c6)=$c4. % 2.73/3.00 ---> New Demodulator: 35 [new_demod,34] sum($c5,$c6)=$c4. % 2.73/3.00 ** KEPT (pick-wt=7): 37 [copy,36,flip.1] sum(n1,product(n0,$c6))=$c3. % 2.73/3.00 ---> New Demodulator: 38 [new_demod,37] sum(n1,product(n0,$c6))=$c3. % 2.73/3.00 ** KEPT (pick-wt=9): 40 [copy,39,demod,8,flip.1] sum(n1,sum($c6,product($c6,$c6)))=$c2. % 2.73/3.00 ---> New Demodulator: 41 [new_demod,40] sum(n1,sum($c6,product($c6,$c6)))=$c2. % 2.73/3.00 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A. % 2.73/3.00 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] sum(A,B)=sum(B,A). % 2.73/3.00 >>>> Starting back demodulation with 8. % 2.73/3.00 >>>> Starting back demodulation with 10. % 2.73/3.00 Following clause subsumed by 11 during input processing: 0 [copy,11,flip.1] product(A,B)=product(B,A). % 2.73/3.00 >>>> Starting back demodulation with 14. % 2.73/3.00 >>>> Starting back demodulation with 17. % 2.73/3.00 >>>> Starting back demodulation with 19. % 2.73/3.00 >>>> Starting back demodulation with 21. % 2.73/3.00 ** KEPT (pick-wt=13): 42 [copy,22,flip.1] product(exponent(A,B),exponent(A,C))=exponent(A,sum(B,C)). % 2.73/3.00 >>>> Starting back demodulation with 25. % 2.73/3.00 ** KEPT (pick-wt=11): 43 [copy,26,flip.1] exponent(A,product(B,C))=exponent(exponent(A,B),C). % 2.73/3.00 >>>> Starting back demodulation with 29. % 2.73/3.00 >>>> Starting back demodulation with 32. % 2.73/3.00 >>>> Starting back demodulation with 35. % 2.73/3.00 >>>> Starting back demodulation with 38. % 2.73/3.00 >>>> Starting back demodulation with 41. % 2.73/3.00 Following clause subsumed by 22 during input processing: 0 [copy,42,flip.1] exponent(A,sum(B,C))=product(exponent(A,B),exponent(A,C)). % 2.73/3.00 Following clause subsumed by 26 during input processing: 0 [copy,43,flip.1] exponent(exponent(A,B),C)=exponent(A,product(B,C)). % 2.73/3.00 % 2.73/3.00 ======= end of input processing ======= % 2.73/3.00 % 2.73/3.00 =========== start of search =========== % 2.73/3.00 % 2.73/3.00 % 2.73/3.00 Resetting weight limit to 11. % 2.73/3.00 % 2.73/3.00 % 2.73/3.00 Resetting weight limit to 11. % 2.73/3.00 % 2.73/3.00 sos_size=590 % 2.73/3.00 % 2.73/3.00 Search stopped because sos empty. % 2.73/3.00 % 2.73/3.00 % 2.73/3.00 Search stopped because sos empty. % 2.73/3.00 % 2.73/3.00 ============ end of search ============ % 2.73/3.00 % 2.73/3.00 -------------- statistics ------------- % 2.73/3.00 clauses given 883 % 2.73/3.00 clauses generated 200551 % 2.73/3.00 clauses kept 977 % 2.73/3.00 clauses forward subsumed 24523 % 2.73/3.00 clauses back subsumed 77 % 2.73/3.00 Kbytes malloced 7812 % 2.73/3.00 % 2.73/3.00 ----------- times (seconds) ----------- % 2.73/3.00 user CPU time 1.04 (0 hr, 0 min, 1 sec) % 2.73/3.00 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 2.73/3.00 wall-clock time 3 (0 hr, 0 min, 3 sec) % 2.73/3.00 % 2.73/3.00 Process 13359 finished Wed Jul 27 09:44:38 2022 % 2.73/3.00 Otter interrupted % 2.73/3.00 PROOF NOT FOUND %------------------------------------------------------------------------------