%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWX185-1 : TPTP v9.3.0. Released v9.3.0. % 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 : Tue May 5 07:05:22 PM UTC 2026 % Result : Unknown 2.04s 2.24s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX185-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.12 % Command : otter-tptp-script %s % 0.16/0.33 % Computer : n016.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue May 5 09:36:51 EDT 2026 % 0.16/0.33 % CPUTime : % 1.97/2.17 ----- Otter 3.3f, August 2004 ----- % 1.97/2.17 The process was started by sandbox2 on n016.cluster.edu, % 1.97/2.17 Tue May 5 09:36:51 2026 % 1.97/2.17 The command was "./otter". The process ID is 26979. % 1.97/2.17 % 1.97/2.17 set(prolog_style_variables). % 1.97/2.17 set(auto). % 1.97/2.17 dependent: set(auto1). % 1.97/2.17 dependent: set(process_input). % 1.97/2.17 dependent: clear(print_kept). % 1.97/2.17 dependent: clear(print_new_demod). % 1.97/2.17 dependent: clear(print_back_demod). % 1.97/2.17 dependent: clear(print_back_sub). % 1.97/2.17 dependent: set(control_memory). % 1.97/2.17 dependent: assign(max_mem, 12000). % 1.97/2.17 dependent: assign(pick_given_ratio, 4). % 1.97/2.17 dependent: assign(stats_level, 1). % 1.97/2.17 dependent: assign(max_seconds, 10800). % 1.97/2.17 clear(print_given). % 1.97/2.17 % 1.97/2.17 list(usable). % 1.97/2.17 0 [] A=A. % 1.97/2.17 0 [] impl(btrue,Q)=Q. % 1.97/2.17 0 [] impl(bfalse,Q)=btrue. % 1.97/2.17 0 [] assoc(z(z(A,B),C))=assoc(z(A,z(B,C))). % 1.97/2.17 0 [] assoc(z(x2(X,X2),C))=z(assoc(x2(X,X2)),assoc(C)). % 1.97/2.17 0 [] assoc(z(eX,C))=z(assoc(eX),assoc(C)). % 1.97/2.17 0 [] assoc(z(eY,C))=z(assoc(eY),assoc(C)). % 1.97/2.17 0 [] assoc(x2(A2,B2))=x2(assoc(A2),assoc(B2)). % 1.97/2.17 0 [] assoc(eX)=eX. % 1.97/2.17 0 [] assoc(eY)=eY. % 1.97/2.17 0 [] append(nil,Y)=Y. % 1.97/2.17 0 [] append(cons(Z,Xs),Y)=cons(Z,append(Xs,Y)). % 1.97/2.17 0 [] linTerm(x2(A,B))=append(cons(c,nil),append(lin(z(A,B)),cons(d,nil))). % 1.97/2.17 0 [] linTerm(z(X,X2))=lin(z(X,X2)). % 1.97/2.17 0 [] linTerm(eX)=lin(eX). % 1.97/2.17 0 [] linTerm(eY)=lin(eY). % 1.97/2.17 0 [] lin(z(A,B))=append(linTerm(A),append(cons(plus,nil),linTerm(B))). % 1.97/2.17 0 [] lin(x2(A3,B2))=append(lin(A3),append(cons(mul,nil),lin(B2))). % 1.97/2.17 0 [] lin(eX)=cons(x,nil). % 1.97/2.17 0 [] lin(eY)=cons(y,nil). % 1.97/2.17 0 [] prop_unambig(X,Y)=impl(e_q(lin(X),lin(Y)),e_q3(assoc(X),assoc(Y))). % 1.97/2.17 0 [] e_q2(c,d)=bfalse. % 1.97/2.17 0 [] e_q2(c,x)=bfalse. % 1.97/2.17 0 [] e_q2(c,y)=bfalse. % 1.97/2.17 0 [] e_q2(c,plus)=bfalse. % 1.97/2.17 0 [] e_q2(c,mul)=bfalse. % 1.97/2.17 0 [] e_q2(d,c)=bfalse. % 1.97/2.17 0 [] e_q2(d,x)=bfalse. % 1.97/2.17 0 [] e_q2(d,y)=bfalse. % 1.97/2.17 0 [] e_q2(d,plus)=bfalse. % 1.97/2.17 0 [] e_q2(d,mul)=bfalse. % 1.97/2.17 0 [] e_q2(x,c)=bfalse. % 1.97/2.17 0 [] e_q2(x,d)=bfalse. % 1.97/2.17 0 [] e_q2(x,y)=bfalse. % 1.97/2.17 0 [] e_q2(x,plus)=bfalse. % 1.97/2.17 0 [] e_q2(x,mul)=bfalse. % 1.97/2.17 0 [] e_q2(y,c)=bfalse. % 1.97/2.17 0 [] e_q2(y,d)=bfalse. % 1.97/2.17 0 [] e_q2(y,x)=bfalse. % 1.97/2.17 0 [] e_q2(y,plus)=bfalse. % 1.97/2.17 0 [] e_q2(y,mul)=bfalse. % 1.97/2.17 0 [] e_q2(plus,c)=bfalse. % 1.97/2.17 0 [] e_q2(plus,d)=bfalse. % 1.97/2.17 0 [] e_q2(plus,x)=bfalse. % 1.97/2.17 0 [] e_q2(plus,y)=bfalse. % 1.97/2.18 0 [] e_q2(plus,mul)=bfalse. % 1.97/2.18 0 [] e_q2(mul,c)=bfalse. % 1.97/2.18 0 [] e_q2(mul,d)=bfalse. % 1.97/2.18 0 [] e_q2(mul,x)=bfalse. % 1.97/2.18 0 [] e_q2(mul,y)=bfalse. % 1.97/2.18 0 [] e_q2(mul,plus)=bfalse. % 1.97/2.18 0 [] e_q3(eX,eY)=bfalse. % 1.97/2.18 0 [] e_q3(eY,eX)=bfalse. % 1.97/2.18 0 [] e_q4(bfalse,btrue)=bfalse. % 1.97/2.18 0 [] e_q4(btrue,bfalse)=bfalse. % 1.97/2.18 0 [] e_q3(X,Z)!=bfalse|e_q3(z(X,Y),z(Z,X2))=bfalse. % 1.97/2.18 0 [] e_q3(X,Z)!=btrue|e_q3(z(X,Y),z(Z,X2))=e_q3(Y,X2). % 1.97/2.18 0 [] e_q3(X,Z)!=bfalse|e_q3(x2(X,Y),x2(Z,X2))=bfalse. % 1.97/2.18 0 [] e_q3(X,Z)!=btrue|e_q3(x2(X,Y),x2(Z,X2))=e_q3(Y,X2). % 1.97/2.18 0 [] e_q3(z(X,Y),x2(Z,X2))=bfalse. % 1.97/2.18 0 [] e_q3(z(X,Y),eX)=bfalse. % 1.97/2.18 0 [] e_q3(z(X,Y),eY)=bfalse. % 1.97/2.18 0 [] e_q3(x2(X,Y),z(Z,X2))=bfalse. % 1.97/2.18 0 [] e_q3(x2(X,Y),eX)=bfalse. % 1.97/2.18 0 [] e_q3(x2(X,Y),eY)=bfalse. % 1.97/2.18 0 [] e_q3(eX,z(X,Y))=bfalse. % 1.97/2.18 0 [] e_q3(eX,x2(X,Y))=bfalse. % 1.97/2.18 0 [] e_q3(eY,z(X,Y))=bfalse. % 1.97/2.18 0 [] e_q3(eY,x2(X,Y))=bfalse. % 1.97/2.18 0 [] e_q(X,X)=btrue. % 1.97/2.18 0 [] e_q2(X,X)=btrue. % 1.97/2.18 0 [] e_q3(X,X)=btrue. % 1.97/2.18 0 [] e_q4(X,X)=btrue. % 1.97/2.18 0 [] e_q2(X,Z)!=bfalse|e_q(cons(X,Y),cons(Z,X2))=bfalse. % 1.97/2.18 0 [] e_q2(X,Z)!=btrue|e_q(cons(X,Y),cons(Z,X2))=e_q(Y,X2). % 1.97/2.18 0 [] e_q(nil,cons(X,Y))=bfalse. % 1.97/2.18 0 [] e_q(cons(X,Y),nil)=bfalse. % 1.97/2.18 0 [] e_q4(prop_unambig(X,Y),bfalse)!=btrue. % 1.97/2.18 end_of_list. % 1.97/2.18 % 1.97/2.18 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2. % 1.97/2.18 % 1.97/2.18 This is a Horn set with equality. The strategy will be % 1.97/2.18 Knuth-Bendix and hyper_res, with positive clauses in % 1.97/2.18 sos and nonpositive clauses in usable. % 1.97/2.18 % 1.97/2.18 dependent: set(knuth_bendix). % 1.97/2.18 dependent: set(anl_eq). % 1.97/2.18 dependent: set(para_from). % 1.97/2.18 dependent: set(para_into). % 1.97/2.18 dependent: clear(para_from_right). % 1.97/2.18 dependent: clear(para_into_right). % 1.97/2.18 dependent: set(para_from_vars). % 1.97/2.18 dependent: set(eq_units_both_ways). % 1.97/2.18 dependent: set(dynamic_demod_all). % 1.97/2.18 dependent: set(dynamic_demod). % 1.97/2.18 dependent: set(order_eq). % 1.97/2.18 dependent: set(back_demod). % 1.97/2.18 dependent: set(lrpo). % 1.97/2.18 dependent: set(hyper_res). % 1.97/2.18 dependent: clear(order_hyper). % 1.97/2.18 % 1.97/2.18 ------------> process usable: % 1.97/2.18 ** KEPT (pick-wt=14): 1 [] e_q3(A,B)!=bfalse|e_q3(z(A,C),z(B,D))=bfalse. % 1.97/2.18 ** KEPT (pick-wt=16): 2 [] e_q3(A,B)!=btrue|e_q3(z(A,C),z(B,D))=e_q3(C,D). % 1.97/2.18 ** KEPT (pick-wt=14): 3 [] e_q3(A,B)!=bfalse|e_q3(x2(A,C),x2(B,D))=bfalse. % 1.97/2.18 ** KEPT (pick-wt=16): 4 [] e_q3(A,B)!=btrue|e_q3(x2(A,C),x2(B,D))=e_q3(C,D). % 1.97/2.18 ** KEPT (pick-wt=14): 5 [] e_q2(A,B)!=bfalse|e_q(cons(A,C),cons(B,D))=bfalse. % 1.97/2.18 ** KEPT (pick-wt=16): 6 [] e_q2(A,B)!=btrue|e_q(cons(A,C),cons(B,D))=e_q(C,D). % 1.97/2.18 ** KEPT (pick-wt=7): 7 [] e_q4(prop_unambig(A,B),bfalse)!=btrue. % 1.97/2.18 % 1.97/2.18 ------------> process sos: % 1.97/2.18 ** KEPT (pick-wt=3): 8 [] A=A. % 1.97/2.18 ** KEPT (pick-wt=5): 9 [] impl(btrue,A)=A. % 1.97/2.18 ---> New Demodulator: 10 [new_demod,9] impl(btrue,A)=A. % 1.97/2.18 ** KEPT (pick-wt=5): 11 [] impl(bfalse,A)=btrue. % 1.97/2.18 ---> New Demodulator: 12 [new_demod,11] impl(bfalse,A)=btrue. % 1.97/2.18 ** KEPT (pick-wt=13): 13 [] assoc(z(z(A,B),C))=assoc(z(A,z(B,C))). % 1.97/2.18 ---> New Demodulator: 14 [new_demod,13] assoc(z(z(A,B),C))=assoc(z(A,z(B,C))). % 1.97/2.18 ** KEPT (pick-wt=14): 15 [] assoc(z(x2(A,B),C))=z(assoc(x2(A,B)),assoc(C)). % 1.97/2.18 ---> New Demodulator: 16 [new_demod,15] assoc(z(x2(A,B),C))=z(assoc(x2(A,B)),assoc(C)). % 1.97/2.18 ** KEPT (pick-wt=10): 17 [] assoc(z(eX,A))=z(assoc(eX),assoc(A)). % 1.97/2.18 ---> New Demodulator: 18 [new_demod,17] assoc(z(eX,A))=z(assoc(eX),assoc(A)). % 1.97/2.18 ** KEPT (pick-wt=10): 19 [] assoc(z(eY,A))=z(assoc(eY),assoc(A)). % 1.97/2.18 ---> New Demodulator: 20 [new_demod,19] assoc(z(eY,A))=z(assoc(eY),assoc(A)). % 1.97/2.18 ** KEPT (pick-wt=10): 21 [] assoc(x2(A,B))=x2(assoc(A),assoc(B)). % 1.97/2.18 ---> New Demodulator: 22 [new_demod,21] assoc(x2(A,B))=x2(assoc(A),assoc(B)). % 1.97/2.18 ** KEPT (pick-wt=4): 23 [] assoc(eX)=eX. % 1.97/2.18 ---> New Demodulator: 24 [new_demod,23] assoc(eX)=eX. % 1.97/2.18 ** KEPT (pick-wt=4): 25 [] assoc(eY)=eY. % 1.97/2.18 ---> New Demodulator: 26 [new_demod,25] assoc(eY)=eY. % 1.97/2.18 ** KEPT (pick-wt=5): 27 [] append(nil,A)=A. % 1.97/2.18 ---> New Demodulator: 28 [new_demod,27] append(nil,A)=A. % 1.97/2.18 ** KEPT (pick-wt=11): 30 [copy,29,flip.1] cons(A,append(B,C))=append(cons(A,B),C). % 1.97/2.18 ---> New Demodulator: 31 [new_demod,30] cons(A,append(B,C))=append(cons(A,B),C). % 1.97/2.18 ** KEPT (pick-wt=17): 32 [] linTerm(x2(A,B))=append(cons(c,nil),append(lin(z(A,B)),cons(d,nil))). % 1.97/2.18 ---> New Demodulator: 33 [new_demod,32] linTerm(x2(A,B))=append(cons(c,nil),append(lin(z(A,B)),cons(d,nil))). % 1.97/2.18 ** KEPT (pick-wt=9): 34 [] linTerm(z(A,B))=lin(z(A,B)). % 1.97/2.18 ---> New Demodulator: 35 [new_demod,34] linTerm(z(A,B))=lin(z(A,B)). % 1.97/2.18 ** KEPT (pick-wt=5): 36 [] linTerm(eX)=lin(eX). % 1.97/2.18 ---> New Demodulator: 37 [new_demod,36] linTerm(eX)=lin(eX). % 1.97/2.18 ** KEPT (pick-wt=5): 38 [] linTerm(eY)=lin(eY). % 1.97/2.18 ---> New Demodulator: 39 [new_demod,38] linTerm(eY)=lin(eY). % 1.97/2.18 ** KEPT (pick-wt=14): 40 [] lin(z(A,B))=append(linTerm(A),append(cons(plus,nil),linTerm(B))). % 1.97/2.18 ** KEPT (pick-wt=14): 41 [] lin(x2(A,B))=append(lin(A),append(cons(mul,nil),lin(B))). % 1.97/2.18 ---> New Demodulator: 42 [new_demod,41] lin(x2(A,B))=append(lin(A),append(cons(mul,nil),lin(B))). % 1.97/2.18 ** KEPT (pick-wt=6): 43 [] lin(eX)=cons(x,nil). % 1.97/2.18 ---> New Demodulator: 44 [new_demod,43] lin(eX)=cons(x,nil). % 1.97/2.18 ** KEPT (pick-wt=6): 45 [] lin(eY)=cons(y,nil). % 1.97/2.18 ---> New Demodulator: 46 [new_demod,45] lin(eY)=cons(y,nil). % 1.97/2.18 ** KEPT (pick-wt=15): 47 [] prop_unambig(A,B)=impl(e_q(lin(A),lin(B)),e_q3(assoc(A),assoc(B))). % 1.97/2.18 ** KEPT (pick-wt=5): 48 [] e_q2(c,d)=bfalse. % 1.97/2.18 ---> New Demodulator: 49 [new_demod,48] e_q2(c,d)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 50 [] e_q2(c,x)=bfalse. % 1.97/2.18 ---> New Demodulator: 51 [new_demod,50] e_q2(c,x)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 52 [] e_q2(c,y)=bfalse. % 1.97/2.18 ---> New Demodulator: 53 [new_demod,52] e_q2(c,y)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 54 [] e_q2(c,plus)=bfalse. % 1.97/2.18 ---> New Demodulator: 55 [new_demod,54] e_q2(c,plus)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 56 [] e_q2(c,mul)=bfalse. % 1.97/2.18 ---> New Demodulator: 57 [new_demod,56] e_q2(c,mul)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 58 [] e_q2(d,c)=bfalse. % 1.97/2.18 ---> New Demodulator: 59 [new_demod,58] e_q2(d,c)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 60 [] e_q2(d,x)=bfalse. % 1.97/2.18 ---> New Demodulator: 61 [new_demod,60] e_q2(d,x)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 62 [] e_q2(d,y)=bfalse. % 1.97/2.18 ---> New Demodulator: 63 [new_demod,62] e_q2(d,y)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 64 [] e_q2(d,plus)=bfalse. % 1.97/2.18 ---> New Demodulator: 65 [new_demod,64] e_q2(d,plus)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 66 [] e_q2(d,mul)=bfalse. % 1.97/2.18 ---> New Demodulator: 67 [new_demod,66] e_q2(d,mul)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 68 [] e_q2(x,c)=bfalse. % 1.97/2.18 ---> New Demodulator: 69 [new_demod,68] e_q2(x,c)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 70 [] e_q2(x,d)=bfalse. % 1.97/2.18 ---> New Demodulator: 71 [new_demod,70] e_q2(x,d)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 72 [] e_q2(x,y)=bfalse. % 1.97/2.18 ---> New Demodulator: 73 [new_demod,72] e_q2(x,y)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 74 [] e_q2(x,plus)=bfalse. % 1.97/2.18 ---> New Demodulator: 75 [new_demod,74] e_q2(x,plus)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 76 [] e_q2(x,mul)=bfalse. % 1.97/2.18 ---> New Demodulator: 77 [new_demod,76] e_q2(x,mul)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 78 [] e_q2(y,c)=bfalse. % 1.97/2.18 ---> New Demodulator: 79 [new_demod,78] e_q2(y,c)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 80 [] e_q2(y,d)=bfalse. % 1.97/2.18 ---> New Demodulator: 81 [new_demod,80] e_q2(y,d)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 82 [] e_q2(y,x)=bfalse. % 1.97/2.18 ---> New Demodulator: 83 [new_demod,82] e_q2(y,x)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 84 [] e_q2(y,plus)=bfalse. % 1.97/2.18 ---> New Demodulator: 85 [new_demod,84] e_q2(y,plus)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 86 [] e_q2(y,mul)=bfalse. % 1.97/2.18 ---> New Demodulator: 87 [new_demod,86] e_q2(y,mul)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 88 [] e_q2(plus,c)=bfalse. % 1.97/2.18 ---> New Demodulator: 89 [new_demod,88] e_q2(plus,c)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 90 [] e_q2(plus,d)=bfalse. % 1.97/2.18 ---> New Demodulator: 91 [new_demod,90] e_q2(plus,d)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 92 [] e_q2(plus,x)=bfalse. % 1.97/2.18 ---> New Demodulator: 93 [new_demod,92] e_q2(plus,x)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 94 [] e_q2(plus,y)=bfalse. % 1.97/2.18 ---> New Demodulator: 95 [new_demod,94] e_q2(plus,y)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 96 [] e_q2(plus,mul)=bfalse. % 1.97/2.18 ---> New Demodulator: 97 [new_demod,96] e_q2(plus,mul)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 98 [] e_q2(mul,c)=bfalse. % 1.97/2.18 ---> New Demodulator: 99 [new_demod,98] e_q2(mul,c)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 100 [] e_q2(mul,d)=bfalse. % 1.97/2.18 ---> New Demodulator: 101 [new_demod,100] e_q2(mul,d)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 102 [] e_q2(mul,x)=bfalse. % 1.97/2.18 ---> New Demodulator: 103 [new_demod,102] e_q2(mul,x)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 104 [] e_q2(mul,y)=bfalse. % 1.97/2.18 ---> New Demodulator: 105 [new_demod,104] e_q2(mul,y)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 106 [] e_q2(mul,plus)=bfalse. % 1.97/2.18 ---> New Demodulator: 107 [new_demod,106] e_q2(mul,plus)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 108 [] e_q3(eX,eY)=bfalse. % 1.97/2.18 ---> New Demodulator: 109 [new_demod,108] e_q3(eX,eY)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 110 [] e_q3(eY,eX)=bfalse. % 1.97/2.18 ---> New Demodulator: 111 [new_demod,110] e_q3(eY,eX)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 112 [] e_q4(bfalse,btrue)=bfalse. % 1.97/2.18 ---> New Demodulator: 113 [new_demod,112] e_q4(bfalse,btrue)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 114 [] e_q4(btrue,bfalse)=bfalse. % 1.97/2.18 ---> New Demodulator: 115 [new_demod,114] e_q4(btrue,bfalse)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=9): 116 [] e_q3(z(A,B),x2(C,D))=bfalse. % 1.97/2.18 ---> New Demodulator: 117 [new_demod,116] e_q3(z(A,B),x2(C,D))=bfalse. % 1.97/2.18 ** KEPT (pick-wt=7): 118 [] e_q3(z(A,B),eX)=bfalse. % 1.97/2.18 ---> New Demodulator: 119 [new_demod,118] e_q3(z(A,B),eX)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=7): 120 [] e_q3(z(A,B),eY)=bfalse. % 1.97/2.18 ---> New Demodulator: 121 [new_demod,120] e_q3(z(A,B),eY)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=9): 122 [] e_q3(x2(A,B),z(C,D))=bfalse. % 1.97/2.18 ---> New Demodulator: 123 [new_demod,122] e_q3(x2(A,B),z(C,D))=bfalse. % 1.97/2.18 ** KEPT (pick-wt=7): 124 [] e_q3(x2(A,B),eX)=bfalse. % 1.97/2.18 ---> New Demodulator: 125 [new_demod,124] e_q3(x2(A,B),eX)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=7): 126 [] e_q3(x2(A,B),eY)=bfalse. % 1.97/2.18 ---> New Demodulator: 127 [new_demod,126] e_q3(x2(A,B),eY)=bfalse. % 1.97/2.18 ** KEPT (pick-wt=7): 128 [] e_q3(eX,z(A,B))=bfalse. % 1.97/2.18 ---> New Demodulator: 129 [new_demod,128] e_q3(eX,z(A,B))=bfalse. % 1.97/2.18 ** KEPT (pick-wt=7): 130 [] e_q3(eX,x2(A,B))=bfalse. % 1.97/2.18 ---> New Demodulator: 131 [new_demod,130] e_q3(eX,x2(A,B))=bfalse. % 1.97/2.18 ** KEPT (pick-wt=7): 132 [] e_q3(eY,z(A,B))=bfalse. % 1.97/2.18 ---> New Demodulator: 133 [new_demod,132] e_q3(eY,z(A,B))=bfalse. % 1.97/2.18 ** KEPT (pick-wt=7): 134 [] e_q3(eY,x2(A,B))=bfalse. % 1.97/2.18 ---> New Demodulator: 135 [new_demod,134] e_q3(eY,x2(A,B))=bfalse. % 1.97/2.18 ** KEPT (pick-wt=5): 136 [] e_q(A,A)=btrue. % 1.97/2.18 ---> New Demodulator: 137 [new_demod,136] e_q(A,A)=btrue. % 1.97/2.18 ** KEPT (pick-wt=5): 138 [] e_q2(A,A)=btrue. % 1.97/2.18 ---> New Demodulator: 139 [new_demod,138] e_q2(A,A)=btrue. % 1.97/2.18 ** KEPT (pick-wt=5): 140 [] e_q3(A,A)=btrue. % 1.97/2.18 ---> New Demodulator: 141 [new_demod,140] e_q3(A,A)=btrue. % 1.97/2.18 ** KEPT (pick-wt=5): 142 [] e_q4(A,A)=btrue. % 1.97/2.18 ---> New Demodulator: 143 [new_demod,142] e_q4(A,A)=btrue. % 1.97/2.18 ** KEPT (pick-wt=7): 144 [] e_q(nil,cons(A,B))=bfalse. % 1.97/2.18 ---> New Demodulator: 145 [new_demod,144] e_q(nil,cons(A,B))=bfalse. % 1.97/2.18 ** KEPT (pick-wt=7): 146 [] e_q(cons(A,B),nil)=bfalse. % 1.97/2.18 ---> New Demodulator: 147 [new_demod,146] e_q(cons(A,B),nil)=bfalse. % 1.97/2.18 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] A=A. % 1.97/2.18 >>>> Starting back demodulation with 10. % 1.97/2.18 >>>> Starting back demodulation with 12. % 1.97/2.18 >>>> Starting back demodulation with 14. % 1.97/2.18 >>>> Starting back demodulation with 16. % 1.97/2.18 >>>> Starting back demodulation with 18. % 1.97/2.18 >>>> Starting back demodulation with 20. % 1.97/2.18 >>>> Starting back demodulation with 22. % 1.97/2.18 >> back demodulating 15 with 22. % 1.97/2.18 >>>> Starting back demodulation with 24. % 1.97/2.18 >> back demodulating 17 with 24. % 1.97/2.18 >>>> Starting back demodulation with 26. % 1.97/2.18 >> back demodulating 19 with 26. % 1.97/2.18 >>>> Starting back demodulation with 28. % 1.97/2.18 >>>> Starting back demodulation with 31. % 1.97/2.18 >>>> Starting back demodulation with 33. % 1.97/2.18 >>>> Starting back demodulation with 35. % 1.97/2.18 >>>> Starting back demodulation with 37. % 1.97/2.18 >>>> Starting back demodulation with 39. % 1.97/2.18 ** KEPT (pick-wt=14): 154 [copy,40,flip.1] append(linTerm(A),append(cons(plus,nil),linTerm(B)))=lin(z(A,B)). % 1.97/2.18 >>>> Starting back demodulation with 42. % 1.97/2.18 >>>> Starting back demodulation with 44. % 1.97/2.18 >> back demodulating 36 with 44. % 1.97/2.18 >>>> Starting back demodulation with 46. % 1.97/2.18 >> back demodulating 38 with 46. % 1.97/2.18 ** KEPT (pick-wt=15): 159 [copy,47,flip.1] impl(e_q(lin(A),lin(B)),e_q3(assoc(A),assoc(B)))=prop_unambig(A,B). % 1.97/2.18 >>>> Starting back demodulation with 49. % 1.97/2.18 >>>> Starting back demodulation with 51. % 1.97/2.18 >>>> Starting back demodulation with 53. % 1.97/2.18 >>>> Starting back demodulation with 55. % 1.97/2.18 >>>> Starting back demodulation with 57. % 1.97/2.18 >>>> Starting back demodulation with 59. % 1.97/2.18 >>>> Starting back demodulation with 61. % 1.97/2.18 >>>> Starting back demodulation with 63. % 1.97/2.18 >>>> Starting back demodulation with 65. % 1.97/2.18 >>>> Starting back demodulation with 67. % 1.97/2.18 >>>> Starting back demodulation with 69. % 1.97/2.18 >>>> Starting back demodulation with 71. % 1.97/2.18 >>>> Starting back demodulation with 73. % 1.97/2.18 >>>> Starting back demodulation with 75. % 1.97/2.18 >>>> Starting back demodulation with 77. % 1.97/2.18 >>>> Starting back demodulation with 79. % 1.97/2.18 >>>> Starting back demodulation with 81. % 1.97/2.18 >>>> Starting back demodulation with 83. % 1.97/2.18 >>>> Starting back demodulation with 85. % 1.97/2.18 >>>> Starting back demodulation with 87. % 1.97/2.18 >>>> Starting back demodulation with 89. % 1.97/2.18 >>>> Starting back demodulation with 91. % 1.97/2.18 >>>> Starting back demodulation with 93. % 1.97/2.18 >>>> Starting back demodulation with 95. % 1.97/2.18 >>>> Starting back demodulation with 97. % 1.97/2.18 >>>> Starting back demodulation with 99. % 1.97/2.18 >>>> Starting back demodulation with 101. % 1.97/2.18 >>>> Starting back demodulation with 103. % 1.97/2.18 >>>> Starting back demodulation with 105. % 1.97/2.18 >>>> Starting back demodulation with 107. % 1.97/2.18 >>>> Starting back demodulation with 109. % 1.97/2.18 >>>> Starting back demodulation with 111. % 1.97/2.18 >>>> Starting back demodulation with 113. % 1.97/2.18 >>>> Starting back demodulation with 115. % 1.97/2.18 >>>> Starting back demodulation with 117. % 1.97/2.18 >>>> Starting back demodulation with 119. % 1.97/2.18 >>>> Starting back demodulation with 121. % 1.97/2.18 >>>> Starting back demodulation with 123. % 1.97/2.18 >>>> Starting back demodulation with 125. % 1.97/2.18 >>>> Starting back demodulation with 127. % 1.97/2.18 >>>> Starting back demodulation with 129. % 1.97/2.18 >>>> Starting back demodulation with 131. % 1.97/2.18 >>>> Starting back demodulation with 133. % 1.97/2.18 >>>> Starting back demodulation with 135. % 1.97/2.18 >>>> Starting back demodulation with 137. % 1.97/2.18 >>>> Starting back demodulation with 139. % 1.97/2.18 >>>> Starting back demodulation with 141. % 1.97/2.18 >>>> Starting back demodulation with 143. % 1.97/2.18 >>>> Starting back demodulation with 145. % 1.97/2.18 >>>> Starting back demodulation with 147. % 1.97/2.18 >>>> Starting back demodulation with 149. % 1.97/2.18 >>>> Starting back demodulation with 151. % 1.97/2.18 >>>> Starting back demodulation with 153. % 1.97/2.18 Following clause subsumed by 40 during input processing: 0 [copy,154,flip.1] lin(z(A,B))=append(linTerm(A),append(cons(plus,nil),linTerm(B))). % 1.97/2.18 >>>> Starting back demodulation with 156. % 1.97/2.18 >>>> Starting back demodulation with 158. % 1.97/2.18 Following clause subsumed by 47 during input processing: 0 [copy,159,flip.1] prop_unambig(A,B)=impl(e_q(lin(A),lin(B)),e_q3(assoc(A),assoc(B))). % 2.04/2.24 % 2.04/2.24 ======= end of input processing ======= % 2.04/2.24 % 2.04/2.24 =========== start of search =========== % 2.04/2.24 % 2.04/2.24 % 2.04/2.24 Resetting weight limit to 11. % 2.04/2.24 % 2.04/2.24 % 2.04/2.24 Resetting weight limit to 11. % 2.04/2.24 % 2.04/2.24 sos_size=171 % 2.04/2.24 % 2.04/2.24 Search stopped because sos empty. % 2.04/2.24 % 2.04/2.24 % 2.04/2.24 Search stopped because sos empty. % 2.04/2.24 % 2.04/2.24 ============ end of search ============ % 2.04/2.24 % 2.04/2.24 -------------- statistics ------------- % 2.04/2.24 clauses given 333 % 2.04/2.24 clauses generated 6235 % 2.04/2.24 clauses kept 378 % 2.04/2.24 clauses forward subsumed 2143 % 2.04/2.24 clauses back subsumed 9 % 2.04/2.24 Kbytes malloced 6835 % 2.04/2.24 % 2.04/2.24 ----------- times (seconds) ----------- % 2.04/2.24 user CPU time 0.06 (0 hr, 0 min, 0 sec) % 2.04/2.24 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 2.04/2.24 wall-clock time 2 (0 hr, 0 min, 2 sec) % 2.04/2.24 % 2.04/2.24 Process 26979 finished Tue May 5 09:36:53 2026 % 2.04/2.24 Otter interrupted % 2.04/2.24 PROOF NOT FOUND %------------------------------------------------------------------------------