%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWX187+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n025.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 : Tue May 5 07:05:22 PM UTC 2026 % Result : Timeout 299.78s 300.02s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX187+1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.12 % Command : otter-tptp-script %s % 0.15/0.33 % Computer : n025.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue May 5 09:40:28 EDT 2026 % 0.15/0.33 % CPUTime : % 1.83/2.05 ----- Otter 3.3f, August 2004 ----- % 1.83/2.05 The process was started by sandbox on n025.cluster.edu, % 1.83/2.05 Tue May 5 09:40:28 2026 % 1.83/2.05 The command was "./otter". The process ID is 22323. % 1.83/2.05 % 1.83/2.05 set(prolog_style_variables). % 1.83/2.05 set(auto). % 1.83/2.05 dependent: set(auto1). % 1.83/2.05 dependent: set(process_input). % 1.83/2.05 dependent: clear(print_kept). % 1.83/2.05 dependent: clear(print_new_demod). % 1.83/2.05 dependent: clear(print_back_demod). % 1.83/2.05 dependent: clear(print_back_sub). % 1.83/2.05 dependent: set(control_memory). % 1.83/2.05 dependent: assign(max_mem, 12000). % 1.83/2.05 dependent: assign(pick_given_ratio, 4). % 1.83/2.05 dependent: assign(stats_level, 1). % 1.83/2.05 dependent: assign(max_seconds, 10800). % 1.83/2.05 clear(print_given). % 1.83/2.05 % 1.83/2.05 formula_list(usable). % 1.83/2.05 all A (A=A). % 1.83/2.05 all X X2 (head(cons(X,X2))=X). % 1.83/2.05 all X X2 (tail(cons(X,X2))=X2). % 1.83/2.05 all X X2 (nil!=cons(X,X2)). % 1.83/2.05 all X (proj1S(s(X))=X). % 1.83/2.05 all X (s(X)!=z). % 1.83/2.05 length(nil)=z. % 1.83/2.05 all Y Xs (length(cons(Y,Xs))=s(length(Xs))). % 1.83/2.05 all Z Y2 (x2(s(Z),s(Y2))<->x2(Z,Y2)). % 1.83/2.05 all Z (-x2(s(Z),z)). % 1.83/2.05 all X2 x2(z,s(X2)). % 1.83/2.05 -x2(z,z). % 1.83/2.05 all Y (x(nil,Y)=Y). % 1.83/2.05 all Y Z Xs (x(cons(Z,Xs),Y)=cons(Z,x(Xs,Y))). % 1.83/2.05 all Z (rotate(s(Z),nil)=nil). % 1.83/2.05 all Z X2 X3 (rotate(s(Z),cons(X2,X3))=rotate(Z,x(X3,cons(X2,nil)))). % 1.83/2.05 all Y (rotate(z,Y)=Y). % 1.83/2.05 -(exists N M Ys Xs (-(x2(N,length(Xs))-> (x2(M,length(Ys))-> (Xs=Ys-> (rotate(s(z),Xs)!=Xs-> (rotate(N,Xs)=rotate(M,Ys)->N=M))))))). % 1.83/2.05 end_of_list. % 1.83/2.05 % 1.83/2.05 -------> usable clausifies to: % 1.83/2.05 % 1.83/2.05 list(usable). % 1.83/2.05 0 [] A=A. % 1.83/2.05 0 [] head(cons(X,X2))=X. % 1.83/2.05 0 [] tail(cons(X,X2))=X2. % 1.83/2.05 0 [] nil!=cons(X,X2). % 1.83/2.05 0 [] proj1S(s(X))=X. % 1.83/2.05 0 [] s(X)!=z. % 1.83/2.05 0 [] length(nil)=z. % 1.83/2.05 0 [] length(cons(Y,Xs))=s(length(Xs)). % 1.83/2.05 0 [] -x2(s(Z),s(Y2))|x2(Z,Y2). % 1.83/2.05 0 [] x2(s(Z),s(Y2))| -x2(Z,Y2). % 1.83/2.05 0 [] -x2(s(Z),z). % 1.83/2.05 0 [] x2(z,s(X2)). % 1.83/2.05 0 [] -x2(z,z). % 1.83/2.05 0 [] x(nil,Y)=Y. % 1.83/2.05 0 [] x(cons(Z,Xs),Y)=cons(Z,x(Xs,Y)). % 1.83/2.05 0 [] rotate(s(Z),nil)=nil. % 1.83/2.05 0 [] rotate(s(Z),cons(X2,X3))=rotate(Z,x(X3,cons(X2,nil))). % 1.83/2.05 0 [] rotate(z,Y)=Y. % 1.83/2.05 0 [] -x2(N,length(Xs))| -x2(M,length(Ys))|Xs!=Ys|rotate(s(z),Xs)=Xs|rotate(N,Xs)!=rotate(M,Ys)|N=M. % 1.83/2.05 end_of_list. % 1.83/2.05 % 1.83/2.05 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6. % 1.83/2.05 % 1.83/2.05 This ia a non-Horn set with equality. The strategy will be % 1.83/2.05 Knuth-Bendix, ordered hyper_res, factoring, and unit % 1.83/2.05 deletion, with positive clauses in sos and nonpositive % 1.83/2.05 clauses in usable. % 1.83/2.05 % 1.83/2.05 dependent: set(knuth_bendix). % 1.83/2.05 dependent: set(anl_eq). % 1.83/2.05 dependent: set(para_from). % 1.83/2.05 dependent: set(para_into). % 1.83/2.05 dependent: clear(para_from_right). % 1.83/2.05 dependent: clear(para_into_right). % 1.83/2.05 dependent: set(para_from_vars). % 1.83/2.05 dependent: set(eq_units_both_ways). % 1.83/2.05 dependent: set(dynamic_demod_all). % 1.83/2.05 dependent: set(dynamic_demod). % 1.83/2.05 dependent: set(order_eq). % 1.83/2.05 dependent: set(back_demod). % 1.83/2.05 dependent: set(lrpo). % 1.83/2.05 dependent: set(hyper_res). % 1.83/2.05 dependent: set(unit_deletion). % 1.83/2.05 dependent: set(factor). % 1.83/2.05 % 1.83/2.05 ------------> process usable: % 1.83/2.05 ** KEPT (pick-wt=5): 2 [copy,1,flip.1] cons(A,B)!=nil. % 1.83/2.05 ** KEPT (pick-wt=4): 3 [] s(A)!=z. % 1.83/2.05 ** KEPT (pick-wt=8): 4 [] -x2(s(A),s(B))|x2(A,B). % 1.83/2.05 ** KEPT (pick-wt=8): 5 [] x2(s(A),s(B))| -x2(A,B). % 1.83/2.05 ** KEPT (pick-wt=4): 6 [] -x2(s(A),z). % 1.83/2.05 ** KEPT (pick-wt=3): 7 [] -x2(z,z). % 1.83/2.05 ** KEPT (pick-wt=27): 8 [] -x2(A,length(B))| -x2(C,length(D))|B!=D|rotate(s(z),B)=B|rotate(A,B)!=rotate(C,D)|A=C. % 1.83/2.05 % 1.83/2.05 ------------> process sos: % 1.83/2.05 ** KEPT (pick-wt=3): 11 [] A=A. % 1.83/2.05 ** KEPT (pick-wt=6): 12 [] head(cons(A,B))=A. % 1.83/2.05 ---> New Demodulator: 13 [new_demod,12] head(cons(A,B))=A. % 1.83/2.05 ** KEPT (pick-wt=6): 14 [] tail(cons(A,B))=B. % 1.83/2.05 ---> New Demodulator: 15 [new_demod,14] tail(cons(A,B))=B. % 1.83/2.05 ** KEPT (pick-wt=5): 16 [] proj1S(s(A))=A. % 1.83/2.05 ---> New Demodulator: 17 [new_demod,16] proj1S(s(A))=A. % 1.83/2.05 ** KEPT (pick-wt=4): 18 [] length(nil)=z. % 1.83/2.05 ---> New Demodulator: 19 [new_demod,18] length(nil)=z. % 1.83/2.05 ** KEPT (pick-wt=8): 20 [] length(cons(A,B))=s(length(B)). % 1.83/2.05 ** KEPT (pick-wt=4): 21 [] x2(z,s(A)). % 1.83/2.05 ** KEPT (pick-wt=5): 22 [] x(nil,A)=A. % 1.83/2.05 ---> New Demodulator: 23 [new_demod,22] x(nil,A)=A. % 1.83/2.05 ** KEPT (pick-wt=11): 24 [] x(cons(A,B),C)=cons(A,x(B,C)). % 1.83/2.05 ---> New Demodulator: 25 [new_demod,24] x(cons(A,B),C)=cons(A,x(B,C)). % 1.83/2.05 ** KEPT (pick-wt=6): 26 [] rotate(s(A),nil)=nil. % 1.83/2.05 ---> New Demodulator: 27 [new_demod,26] rotate(s(A),nil)=nil. % 1.83/2.05 ** KEPT (pick-wt=14): 28 [] rotate(s(A),cons(B,C))=rotate(A,x(C,cons(B,nil))). % 1.83/2.05 ** KEPT (pick-wt=5): 29 [] rotate(z,A)=ATerminated % 299.78/300.02 Otter interrupted % 299.78/300.02 PROOF NOT FOUND %------------------------------------------------------------------------------