0.08/0.15	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.14/0.16	% Command    : tptp2X_and_run_prover9 %d %s
0.16/0.38	% Computer   : n015.cluster.edu
0.16/0.38	% Model      : x86_64 x86_64
0.16/0.38	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.16/0.38	% Memory     : 8042.1875MB
0.16/0.38	% OS         : Linux 3.10.0-693.el7.x86_64
0.16/0.38	% CPULimit   : 1200
0.16/0.38	% DateTime   : Tue Jul 13 15:40:49 EDT 2021
0.16/0.38	% CPUTime    : 
0.96/1.22	============================== Prover9 ===============================
0.96/1.22	Prover9 (32) version 2009-11A, November 2009.
0.96/1.22	Process 26097 was started by sandbox2 on n015.cluster.edu,
0.96/1.22	Tue Jul 13 15:40:50 2021
0.96/1.22	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_25904_n015.cluster.edu".
0.96/1.22	============================== end of head ===========================
0.96/1.22	
0.96/1.22	============================== INPUT =================================
0.96/1.22	
0.96/1.22	% Reading from file /tmp/Prover9_25904_n015.cluster.edu
0.96/1.22	
0.96/1.22	set(prolog_style_variables).
0.96/1.22	set(auto2).
0.96/1.22	    % set(auto2) -> set(auto).
0.96/1.22	    % set(auto) -> set(auto_inference).
0.96/1.22	    % set(auto) -> set(auto_setup).
0.96/1.22	    % set(auto_setup) -> set(predicate_elim).
0.96/1.22	    % set(auto_setup) -> assign(eq_defs, unfold).
0.96/1.22	    % set(auto) -> set(auto_limits).
0.96/1.22	    % set(auto_limits) -> assign(max_weight, "100.000").
0.96/1.22	    % set(auto_limits) -> assign(sos_limit, 20000).
0.96/1.22	    % set(auto) -> set(auto_denials).
0.96/1.22	    % set(auto) -> set(auto_process).
0.96/1.22	    % set(auto2) -> assign(new_constants, 1).
0.96/1.22	    % set(auto2) -> assign(fold_denial_max, 3).
0.96/1.22	    % set(auto2) -> assign(max_weight, "200.000").
0.96/1.22	    % set(auto2) -> assign(max_hours, 1).
0.96/1.22	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.96/1.22	    % set(auto2) -> assign(max_seconds, 0).
0.96/1.22	    % set(auto2) -> assign(max_minutes, 5).
0.96/1.22	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.96/1.22	    % set(auto2) -> set(sort_initial_sos).
0.96/1.22	    % set(auto2) -> assign(sos_limit, -1).
0.96/1.22	    % set(auto2) -> assign(lrs_ticks, 3000).
0.96/1.22	    % set(auto2) -> assign(max_megs, 400).
0.96/1.22	    % set(auto2) -> assign(stats, some).
0.96/1.22	    % set(auto2) -> clear(echo_input).
0.96/1.22	    % set(auto2) -> set(quiet).
0.96/1.22	    % set(auto2) -> clear(print_initial_clauses).
0.96/1.22	    % set(auto2) -> clear(print_given).
0.96/1.22	assign(lrs_ticks,-1).
0.96/1.22	assign(sos_limit,10000).
0.96/1.22	assign(order,kbo).
0.96/1.22	set(lex_order_vars).
0.96/1.22	clear(print_given).
0.96/1.22	
0.96/1.22	% formulas(sos).  % not echoed (168 formulas)
0.96/1.22	
0.96/1.22	============================== end of input ==========================
0.96/1.22	
0.96/1.22	% From the command line: assign(max_seconds, 1200).
0.96/1.22	
0.96/1.22	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.96/1.22	
0.96/1.22	% Formulas that are not ordinary clauses:
0.96/1.22	1 (all Q (mem(Q,bool) -> (all R (mem(R,bool) -> ((p(R) <-> p(Q)) -> Q = R))))) # label(boolext) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	2 (all A all B all F (mem(F,arr(A,B)) -> (all G (mem(G,arr(A,B)) -> ((all X (mem(X,A) -> ap(G,X) = ap(F,X))) -> F = G))))) # label(funcext) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	3 (all A (ne(A) -> (all B (ne(B) -> ne(arr(A,B)))))) # label(arr_ne) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	4 (all A all X (mem(X,A) -> ap(i(A),X) = X)) # label(ibeta) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	5 (all A all B all F (mem(F,arr(A,B)) -> (all X (mem(X,A) -> mem(ap(F,X),B))))) # label(ap_tp) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	6 (all A all Y all X (mem(X,A) -> ap(k(A,Y),X) = Y)) # label(kbeta) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	7 (all A_27a (ne(A_27a) -> mem(c_2Ecombin_2EI(A_27a),arr(A_27a,A_27a)))) # label(mem_c_2Ecombin_2EI) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	8 (all V0x (mem(V0x,bool) -> (all V1x_27 (mem(V1x_27,bool) -> (all V2y (mem(V2y,bool) -> (all V3y_27 (mem(V3y_27,bool) -> ((p(V0x) <-> p(V1x_27)) & (p(V1x_27) -> (p(V2y) <-> p(V3y_27))) -> ((p(V0x) -> p(V2y)) <-> (p(V1x_27) -> p(V3y_27)))))))))))) # label(conj_thm_2Ebool_2EIMP__CONG) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	9 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (all V2p (mem(V2p,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3C_3D,V1n),V2p)) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(ap(c_2Earithmetic_2E_2B,V0m),V1n)),ap(ap(c_2Earithmetic_2E_2B,V0m),V2p)))))))))) # label(conj_thm_2Earithmetic_2EADD__MONO__LESS__EQ) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	10 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2E_2B,V0m),V1n) = ap(ap(c_2Earithmetic_2E_2B,V1n),V0m))))) # label(conj_thm_2Earithmetic_2EADD__SYM) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	11 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (all V2p (mem(V2p,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3C_3D,V1n),V2p)) & p(ap(ap(c_2Earithmetic_2E_3C_3D,V0m),V1n)) -> p(ap(ap(c_2Earithmetic_2E_3C_3D,V0m),V2p))))))))) # label(conj_thm_2Earithmetic_2ELESS__EQ__TRANS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	12 (all A_27a (ne(A_27a) -> mem(c_2Emin_2E_3D(A_27a),arr(A_27a,arr(A_27a,bool))))) # label(mem_c_2Emin_2E_3D) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	13 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (all V2p (mem(V2p,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3C_3D,V0m),c_2Enum_2E0)) | p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(ap(c_2Earithmetic_2E_2B,V0m),V2p)),V1n)) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,V0m),ap(ap(c_2Earithmetic_2E_2D,V1n),V2p)))))))))) # label(conj_thm_2Earithmetic_2ESUB__LEFT__LESS__EQ) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	14 (all V0t1 (mem(V0t1,bool) -> (all V1t2 (mem(V1t2,bool) -> ((p(V0t1) -> p(V1t2)) -> ((p(V1t2) -> p(V0t1)) -> (p(V0t1) <-> p(V1t2)))))))) # label(conj_thm_2Ebool_2EIMP__ANTISYM__AX) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	15 (all A_27a (ne(A_27a) -> (all V0v (mem(V0v,ty_2Elist_2Elist(bool)) -> ap(c_2Efcp_2EFCP(bool,A_27a),f2293(V0v)) = ap(c_2Ebitstring_2Ev2w(A_27a),V0v))))) # label(ax_thm_2Ebitstring_2Ev2w__def) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	16 (all V0A (mem(V0A,bool) -> (all V1B (mem(V1B,bool) -> (-(p(V1B) | p(V0A)) <-> -p(V1B) & -p(V0A)) & (-p(V0A) | -p(V1B) <-> -(p(V0A) & p(V1B))))))) # label(conj_thm_2Ebool_2EDE__MORGAN__THM) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	17 (all V0n (mem(V0n,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2E_2B,c_2Enum_2E0),V0n) = V0n)) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	18 (all V1n (mem(V1n,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2E_2B,V1n),c_2Enum_2E0) = V1n)) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	19 (all V2n (mem(V2n,ty_2Enum_2Enum) -> (all V3m (mem(V3m,ty_2Enum_2Enum) -> ap(c_2Earithmetic_2ENUMERAL,ap(c_2Enumeral_2EiZ,ap(ap(c_2Earithmetic_2E_2B,V2n),V3m))) = ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2ENUMERAL,V2n)),ap(c_2Earithmetic_2ENUMERAL,V3m)))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	20 (all V4n (mem(V4n,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2E_2A,c_2Enum_2E0),V4n) = c_2Enum_2E0)) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	21 (all V5n (mem(V5n,ty_2Enum_2Enum) -> c_2Enum_2E0 = ap(ap(c_2Earithmetic_2E_2A,V5n),c_2Enum_2E0))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	22 (all V6n (mem(V6n,ty_2Enum_2Enum) -> (all V7m (mem(V7m,ty_2Enum_2Enum) -> ap(c_2Earithmetic_2ENUMERAL,ap(ap(c_2Earithmetic_2E_2A,V6n),V7m)) = ap(ap(c_2Earithmetic_2E_2A,ap(c_2Earithmetic_2ENUMERAL,V6n)),ap(c_2Earithmetic_2ENUMERAL,V7m)))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	23 (all V8n (mem(V8n,ty_2Enum_2Enum) -> c_2Enum_2E0 = ap(ap(c_2Earithmetic_2E_2D,c_2Enum_2E0),V8n))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	24 (all V9n (mem(V9n,ty_2Enum_2Enum) -> V9n = ap(ap(c_2Earithmetic_2E_2D,V9n),c_2Enum_2E0))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	25 (all V12n (mem(V12n,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2EEXP,c_2Enum_2E0),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,V12n))) = c_2Enum_2E0)) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	26 (all V13n (mem(V13n,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2EEXP,c_2Enum_2E0),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT2,V13n))) = c_2Enum_2E0)) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	27 (all V14n (mem(V14n,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2EEXP,V14n),c_2Enum_2E0) = ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO)))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	28 (all V20n (mem(V20n,ty_2Enum_2Enum) -> (c_2Earithmetic_2EZERO = V20n <-> ap(c_2Earithmetic_2ENUMERAL,V20n) = c_2Enum_2E0))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	29 (all V24n (mem(V24n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Eprim__rec_2E_3C,c_2Earithmetic_2EZERO),V24n)) <-> p(ap(ap(c_2Eprim__rec_2E_3C,c_2Enum_2E0),ap(c_2Earithmetic_2ENUMERAL,V24n)))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	30 (all V28n (mem(V28n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Eprim__rec_2E_3C,c_2Earithmetic_2EZERO),V28n)) <-> p(ap(ap(c_2Earithmetic_2E_3E,ap(c_2Earithmetic_2ENUMERAL,V28n)),c_2Enum_2E0))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	31 (all V31n (mem(V31n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3C_3D,c_2Enum_2E0),V31n)) <-> $T))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	32 (all V33n (mem(V33n,ty_2Enum_2Enum) -> (all V34m (mem(V34m,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Earithmetic_2ENUMERAL,V33n)),ap(c_2Earithmetic_2ENUMERAL,V34m))) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,V33n),V34m))))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	33 (all V35n (mem(V35n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3E_3D,V35n),c_2Enum_2E0)) <-> $T))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	34 (all V40n (mem(V40n,ty_2Enum_2Enum) -> (p(ap(c_2Earithmetic_2EEVEN,V40n)) <-> p(ap(c_2Earithmetic_2EEVEN,ap(c_2Earithmetic_2ENUMERAL,V40n)))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	35 (all V39n (mem(V39n,ty_2Enum_2Enum) -> (p(ap(c_2Earithmetic_2EODD,ap(c_2Earithmetic_2ENUMERAL,V39n))) <-> p(ap(c_2Earithmetic_2EODD,V39n))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	36 (all V37n (mem(V37n,ty_2Enum_2Enum) -> (all V38m (mem(V38m,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3E_3D,ap(c_2Earithmetic_2ENUMERAL,V37n)),ap(c_2Earithmetic_2ENUMERAL,V38m))) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,V38m),V37n))))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	37 (all V36n (mem(V36n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3E_3D,c_2Enum_2E0),V36n)) <-> c_2Enum_2E0 = V36n))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	38 (all V32n (mem(V32n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Earithmetic_2ENUMERAL,V32n)),c_2Enum_2E0)) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,V32n),c_2Earithmetic_2EZERO))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	39 (all V29n (mem(V29n,ty_2Enum_2Enum) -> (all V30m (mem(V30m,ty_2Enum_2Enum) -> (p(ap(ap(c_2Eprim__rec_2E_3C,V30m),V29n)) <-> p(ap(ap(c_2Earithmetic_2E_3E,ap(c_2Earithmetic_2ENUMERAL,V29n)),ap(c_2Earithmetic_2ENUMERAL,V30m)))))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	40 (all V27n (mem(V27n,ty_2Enum_2Enum) -> ($F <-> p(ap(ap(c_2Earithmetic_2E_3E,c_2Enum_2E0),V27n))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	41 (all V25n (mem(V25n,ty_2Enum_2Enum) -> (all V26m (mem(V26m,ty_2Enum_2Enum) -> (p(ap(ap(c_2Eprim__rec_2E_3C,V25n),V26m)) <-> p(ap(ap(c_2Eprim__rec_2E_3C,ap(c_2Earithmetic_2ENUMERAL,V25n)),ap(c_2Earithmetic_2ENUMERAL,V26m)))))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	42 (all V23n (mem(V23n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Eprim__rec_2E_3C,V23n),c_2Enum_2E0)) <-> $F))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	43 (all V21n (mem(V21n,ty_2Enum_2Enum) -> (all V22m (mem(V22m,ty_2Enum_2Enum) -> (V22m = V21n <-> ap(c_2Earithmetic_2ENUMERAL,V22m) = ap(c_2Earithmetic_2ENUMERAL,V21n)))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	44 (all V19n (mem(V19n,ty_2Enum_2Enum) -> (c_2Enum_2E0 = ap(c_2Earithmetic_2ENUMERAL,V19n) <-> V19n = c_2Earithmetic_2EZERO))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	45 (all V18n (mem(V18n,ty_2Enum_2Enum) -> ap(c_2Earithmetic_2ENUMERAL,ap(c_2Eprim__rec_2EPRE,V18n)) = ap(c_2Eprim__rec_2EPRE,ap(c_2Earithmetic_2ENUMERAL,V18n)))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	46 (all V17n (mem(V17n,ty_2Enum_2Enum) -> ap(c_2Earithmetic_2ENUMERAL,ap(c_2Enum_2ESUC,V17n)) = ap(c_2Enum_2ESUC,ap(c_2Earithmetic_2ENUMERAL,V17n)))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	47 (all V15n (mem(V15n,ty_2Enum_2Enum) -> (all V16m (mem(V16m,ty_2Enum_2Enum) -> ap(c_2Earithmetic_2ENUMERAL,ap(ap(c_2Earithmetic_2EEXP,V15n),V16m)) = ap(ap(c_2Earithmetic_2EEXP,ap(c_2Earithmetic_2ENUMERAL,V15n)),ap(c_2Earithmetic_2ENUMERAL,V16m)))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	48 (all V10n (mem(V10n,ty_2Enum_2Enum) -> (all V11m (mem(V11m,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2E_2D,ap(c_2Earithmetic_2ENUMERAL,V10n)),ap(c_2Earithmetic_2ENUMERAL,V11m)) = ap(c_2Earithmetic_2ENUMERAL,ap(ap(c_2Earithmetic_2E_2D,V10n),V11m)))))) # label(conj_thm_2Enumeral_2Enumeral__distrib_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS_AndRHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	49 (all A0 (ne(A0) -> ne(ty_2Ebool_2Eitself(A0)))) # label(ne_ty_2Ebool_2Eitself) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	50 (all V0n (mem(V0n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3C_3D,V0n),c_2Enum_2E0)) <-> V0n = c_2Enum_2E0))) # label(conj_thm_2Earithmetic_2ELESS__EQ__0) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	51 (all V0t (mem(V0t,bool) -> ($T <-> p(V0t) | $T) & (p(V0t) | $T <-> $T) & (p(V0t) <-> p(V0t)) & (p(V0t) <-> p(V0t)) & (p(V0t) <-> p(V0t) | p(V0t)))) # label(conj_thm_2Ebool_2EOR__CLAUSES) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	52 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2E_2B,V0m),c_2Enum_2E0) = V0m & ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,V0m),V1n)) = ap(ap(c_2Earithmetic_2E_2B,ap(c_2Enum_2ESUC,V0m)),V1n) & ap(ap(c_2Earithmetic_2E_2B,V0m),ap(c_2Enum_2ESUC,V1n)) = ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,V0m),V1n)) & V0m = ap(ap(c_2Earithmetic_2E_2B,c_2Enum_2E0),V0m))))) # label(conj_thm_2Earithmetic_2EADD__CLAUSES) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	53 (all A0 (ne(A0) -> (all A1 (ne(A1) -> ne(ty_2Efcp_2Ecart(A0,A1)))))) # label(ne_ty_2Efcp_2Ecart) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	54 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Eprim__rec_2E_3C,V0m),V1n)) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Enum_2ESUC,V0m)),V1n))))))) # label(conj_thm_2Earithmetic_2ELESS__EQ) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	55 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> (all V0n (mem(V0n,ty_2Enum_2Enum) -> (all V1l (mem(V1l,ty_2Elist_2Elist(A_27a)) -> (p(ap(ap(c_2Eprim__rec_2E_3C,V0n),ap(c_2Elist_2ELENGTH(A_27a),V1l))) -> (all V2f (mem(V2f,arr(A_27a,A_27b)) -> ap(ap(c_2Elist_2EEL(A_27b),V0n),ap(ap(c_2Elist_2EMAP(A_27a,A_27b),V2f),V1l)) = ap(V2f,ap(ap(c_2Elist_2EEL(A_27a),V0n),V1l))))))))))))) # label(conj_thm_2Elist_2EEL__MAP) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	56 (all A_27a (ne(A_27a) -> mem(c_2Ebitstring_2Ev2w(A_27a),arr(ty_2Elist_2Elist(bool),ty_2Efcp_2Ecart(bool,A_27a))))) # label(mem_c_2Ebitstring_2Ev2w) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	57 (all Q (mem(Q,bool) -> (p(ap(c_2Ebool_2E_7E,Q)) <-> -p(Q)))) # label(ax_neg_p) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	58 (all V0t1 (mem(V0t1,bool) -> (all V1t2 (mem(V1t2,bool) -> (all V2t3 (mem(V2t3,bool) -> ((p(V0t1) -> (p(V1t2) -> p(V2t3))) <-> (p(V0t1) & p(V1t2) -> p(V2t3))))))))) # label(conj_thm_2Ebool_2EAND__IMP__INTRO) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	59 -$F <-> $T # label(conj_thm_2Ebool_2ENOT__CLAUSES_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	60 -$T <-> $F # label(conj_thm_2Ebool_2ENOT__CLAUSES_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	61 (all V0t (mem(V0t,bool) -> (--p(V0t) <-> p(V0t)))) # label(conj_thm_2Ebool_2ENOT__CLAUSES_AndRHS_AndRHS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	62 (all A_27a (ne(A_27a) -> (all V0x (mem(V0x,A_27a) -> (all V1y (mem(V1y,A_27a) -> (V1y = V0x <-> V1y = V0x))))))) # label(conj_thm_2Ebool_2EEQ__SYM__EQ) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	63 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> mem(c_2Efcp_2EFCP(A_27a,A_27b),arr(arr(ty_2Enum_2Enum,A_27a),ty_2Efcp_2Ecart(A_27a,A_27b))))))) # label(mem_c_2Efcp_2EFCP) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	64 (all A_27a (ne(A_27a) -> p(ap(ap(c_2Eprim__rec_2E_3C,c_2Enum_2E0),ap(c_2Efcp_2Edimindex(A_27a),c_2Ebool_2Ethe__value(A_27a)))))) # label(conj_thm_2Ewords_2EDIMINDEX__GT__0) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	65 (all A_27a (ne(A_27a) -> mem(c_2Efcp_2Edimindex(A_27a),arr(ty_2Ebool_2Eitself(A_27a),ty_2Enum_2Enum)))) # label(mem_c_2Efcp_2Edimindex) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	66 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (all V2p (mem(V2p,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2E_2D,ap(ap(c_2Earithmetic_2E_2D,V0m),V1n)),V2p) = ap(ap(c_2Earithmetic_2E_2D,V0m),ap(ap(c_2Earithmetic_2E_2B,V1n),V2p)))))))) # label(conj_thm_2Earithmetic_2ESUB__RIGHT__SUB) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	67 (all V0p (mem(V0p,bool) -> (all V1q (mem(V1q,bool) -> (all V2r (mem(V2r,bool) -> ((-p(V1q) | -p(V2r) | p(V0p)) & (-p(V0p) | p(V1q)) & (-p(V0p) | p(V2r)) <-> (p(V2r) & p(V1q) <-> p(V0p))))))))) # label(conj_thm_2Esat_2Edc__conj) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	68 (all A0 (ne(A0) -> ne(ty_2Elist_2Elist(A0)))) # label(ne_ty_2Elist_2Elist) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	69 (all V0p (mem(V0p,bool) -> (all V1q (mem(V1q,bool) -> (all V2r (mem(V2r,bool) -> ((p(V0p) <-> (p(V2r) <-> p(V1q))) <-> (p(V0p) | p(V2r) | p(V1q)) & (-p(V1q) | -p(V2r) | p(V0p)) & (-p(V0p) | -p(V1q) | p(V2r)) & (-p(V2r) | -p(V0p) | p(V1q))))))))) # label(conj_thm_2Esat_2Edc__eq) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	70 (all V0b (mem(V0b,ty_2Enum_2Enum) -> (all V1v (mem(V1v,ty_2Elist_2Elist(bool)) -> (p(ap(ap(c_2Ebool_2ELET(ty_2Enum_2Enum,bool),f2305(V1v,V0b)),ap(c_2Elist_2ELENGTH(bool),V1v))) <-> p(ap(ap(c_2Ebitstring_2Etestbit,V0b),V1v))))))) # label(conj_thm_2Ebitstring_2Etestbit) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	71 (all V0t1 (mem(V0t1,bool) -> (all V1t2 (mem(V1t2,bool) -> ((p(V1t2) <-> p(V0t1)) <-> p(V0t1) & p(V1t2) | -p(V0t1) & -p(V1t2)))))) # label(conj_thm_2Ebool_2EEQ__EXPAND) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	72 (all A_27a (ne(A_27a) -> (all V0t (mem(V0t,bool) -> (p(V0t) <-> (all V1x (mem(V1x,A_27a) -> p(V0t)))))))) # label(conj_thm_2Ebool_2EFORALL__SIMP) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	73 (all A_27a (ne(A_27a) -> mem(c_2Ebool_2ECOND(A_27a),arr(bool,arr(A_27a,arr(A_27a,A_27a)))))) # label(mem_c_2Ebool_2ECOND) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	74 (all V0p (mem(V0p,bool) -> (all V1q (mem(V1q,bool) -> ((p(V0p) <-> -p(V1q)) <-> (p(V1q) | p(V0p)) & (-p(V0p) | -p(V1q))))))) # label(conj_thm_2Esat_2Edc__neg) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	75 (all V0t (mem(V0t,bool) -> (p(V0t) <-> p(V0t)) & (p(V0t) & $F <-> $F) & ($F <-> $F & p(V0t)) & (p(V0t) & p(V0t) <-> p(V0t)) & (p(V0t) <-> p(V0t)))) # label(conj_thm_2Ebool_2EAND__CLAUSES) # label(axiom) # label(non_clause).  [assumption].
0.96/1.22	76 (all V0A (mem(V0A,bool) -> (all V1B (mem(V1B,bool) -> ((p(V0A) -> --p(V1B)) <-> --(-p(V0A) | p(V1B))))))) # label(conj_thm_2Esat_2EOR__DUAL3) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	77 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Enum_2ESUC,V1n)),V0m)) <-> -p(ap(ap(c_2Earithmetic_2E_3C_3D,V0m),V1n))))))) # label(conj_thm_2Earithmetic_2ENOT__LEQ) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	78 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (all V2p (mem(V2p,ty_2Enum_2Enum) -> (p(ap(ap(c_2Eprim__rec_2E_3C,ap(ap(c_2Earithmetic_2E_2D,V0m),V1n)),V2p)) <-> p(ap(ap(c_2Eprim__rec_2E_3C,V0m),ap(ap(c_2Earithmetic_2E_2B,V1n),V2p))) & p(ap(ap(c_2Eprim__rec_2E_3C,c_2Enum_2E0),V2p))))))))) # label(conj_thm_2Earithmetic_2ESUB__RIGHT__LESS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	79 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> (all V0x (mem(V0x,ty_2Efcp_2Ecart(A_27a,A_27b)) -> (all V1y (mem(V1y,ty_2Efcp_2Ecart(A_27a,A_27b)) -> (V0x = V1y <-> (all V2i (mem(V2i,ty_2Enum_2Enum) -> (p(ap(ap(c_2Eprim__rec_2E_3C,V2i),ap(c_2Efcp_2Edimindex(A_27b),c_2Ebool_2Ethe__value(A_27b)))) -> ap(ap(c_2Efcp_2Efcp__index(A_27a,A_27b),V1y),V2i) = ap(ap(c_2Efcp_2Efcp__index(A_27a,A_27b),V0x),V2i))))))))))))) # label(conj_thm_2Efcp_2ECART__EQ) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	80 (all V0A (mem(V0A,bool) -> (all V1B (mem(V1B,bool) -> ((p(V0A) -> p(V1B)) <-> p(V1B) | -p(V0A)))))) # label(conj_thm_2Ebool_2EIMP__DISJ__THM) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	81 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> mem(c_2Elist_2EMAP(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(ty_2Elist_2Elist(A_27a),ty_2Elist_2Elist(A_27b)))))))) # label(mem_c_2Elist_2EMAP) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	82 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> mem(c_2Efcp_2Efcp__index(A_27a,A_27b),arr(ty_2Efcp_2Ecart(A_27a,A_27b),arr(ty_2Enum_2Enum,A_27a))))))) # label(mem_c_2Efcp_2Efcp__index) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	83 (all A_27a (ne(A_27a) -> mem(c_2Elist_2EEL(A_27a),arr(ty_2Enum_2Enum,arr(ty_2Elist_2Elist(A_27a),A_27a))))) # label(mem_c_2Elist_2EEL) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	84 (all V0p (mem(V0p,bool) -> (all V1q (mem(V1q,bool) -> (all V2r (mem(V2r,bool) -> ((-p(V1q) | p(V0p)) & (p(V2r) | -p(V0p) | p(V1q)) & (p(V0p) | -p(V2r)) <-> (p(V0p) <-> p(V1q) | p(V2r))))))))) # label(conj_thm_2Esat_2Edc__disj) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	85 (all Q (mem(Q,bool) -> (all R (mem(R,bool) -> (p(R) | p(Q) <-> p(ap(ap(c_2Ebool_2E_5C_2F,Q),R))))))) # label(ax_or_p) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	86 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> (all V0l (mem(V0l,ty_2Elist_2Elist(A_27a)) -> (all V1f (mem(V1f,arr(A_27a,A_27b)) -> ap(c_2Elist_2ELENGTH(A_27a),V0l) = ap(c_2Elist_2ELENGTH(A_27b),ap(ap(c_2Elist_2EMAP(A_27a,A_27b),V1f),V0l)))))))))) # label(conj_thm_2Elist_2ELENGTH__MAP) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	87 (all V0A (mem(V0A,bool) -> (all V1B (mem(V1B,bool) -> ((-p(V0A) -> --p(V1B)) <-> --(p(V1B) | p(V0A))))))) # label(conj_thm_2Esat_2EOR__DUAL2) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	88 (all V0n (mem(V0n,ty_2Enum_2Enum) -> (all V1m (mem(V1m,ty_2Enum_2Enum) -> ($T <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,c_2Earithmetic_2EZERO),V0n))) & ($F <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Earithmetic_2EBIT1,V0n)),c_2Earithmetic_2EZERO))) & (p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Earithmetic_2EBIT2,V0n)),c_2Earithmetic_2EZERO)) <-> $F) & (p(ap(ap(c_2Earithmetic_2E_3C_3D,V0n),V1m)) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Earithmetic_2EBIT2,V0n)),ap(c_2Earithmetic_2EBIT2,V1m)))) & (p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Earithmetic_2EBIT2,V0n)),ap(c_2Earithmetic_2EBIT1,V1m))) <-> -p(ap(ap(c_2Earithmetic_2E_3C_3D,V1m),V0n))) & (p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Earithmetic_2EBIT1,V0n)),ap(c_2Earithmetic_2EBIT2,V1m))) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,V0n),V1m))) & (p(ap(ap(c_2Earithmetic_2E_3C_3D,V0n),V1m)) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Earithmetic_2EBIT1,V0n)),ap(c_2Earithmetic_2EBIT1,V1m)))))))) # label(conj_thm_2Enumeral_2Enumeral__lte) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	89 (all V0n (mem(V0n,ty_2Enum_2Enum) -> (all V1m (mem(V1m,ty_2Enum_2Enum) -> V0n = ap(c_2Enumeral_2EiZ,ap(ap(c_2Earithmetic_2E_2B,V0n),c_2Earithmetic_2EZERO)) & ap(c_2Earithmetic_2EBIT2,ap(c_2Enumeral_2EiZ,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) = ap(c_2Enumeral_2EiZ,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT1,V0n)),ap(c_2Earithmetic_2EBIT1,V1m))) & ap(c_2Enumeral_2EiZ,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT1,V0n)),ap(c_2Earithmetic_2EBIT2,V1m))) = ap(c_2Earithmetic_2EBIT1,ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) & ap(c_2Enumeral_2EiiSUC,V0n) = ap(c_2Enumeral_2EiiSUC,ap(ap(c_2Earithmetic_2E_2B,c_2Earithmetic_2EZERO),V0n)) & ap(c_2Earithmetic_2EBIT2,ap(c_2Enumeral_2EiiSUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) = ap(c_2Enumeral_2EiiSUC,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT2,V0n)),ap(c_2Earithmetic_2EBIT2,V1m))) & ap(c_2Enumeral_2EiiSUC,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT2,V0n)),ap(c_2Earithmetic_2EBIT1,V1m))) = ap(c_2Earithmetic_2EBIT1,ap(c_2Enumeral_2EiiSUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) & ap(c_2Earithmetic_2EBIT1,ap(c_2Enumeral_2EiiSUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) = ap(c_2Enumeral_2EiiSUC,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT1,V0n)),ap(c_2Earithmetic_2EBIT2,V1m))) & ap(c_2Enumeral_2EiiSUC,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT1,V0n)),ap(c_2Earithmetic_2EBIT1,V1m))) = ap(c_2Earithmetic_2EBIT2,ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) & ap(c_2Enumeral_2EiiSUC,V0n) = ap(c_2Enumeral_2EiiSUC,ap(ap(c_2Earithmetic_2E_2B,V0n),c_2Earithmetic_2EZERO)) & ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT2,V0n)),ap(c_2Earithmetic_2EBIT2,V1m))) = ap(c_2Earithmetic_2EBIT1,ap(c_2Enumeral_2EiiSUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) & ap(c_2Earithmetic_2EBIT2,ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) = ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT2,V0n)),ap(c_2Earithmetic_2EBIT1,V1m))) & ap(c_2Earithmetic_2EBIT2,ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) = ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT1,V0n)),ap(c_2Earithmetic_2EBIT2,V1m))) & ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT1,V0n)),ap(c_2Earithmetic_2EBIT1,V1m))) = ap(c_2Earithmetic_2EBIT1,ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) & ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,V0n),c_2Earithmetic_2EZERO)) = ap(c_2Enum_2ESUC,V0n) & ap(c_2Enum_2ESUC,V0n) = ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,c_2Earithmetic_2EZERO),V0n)) & ap(c_2Enumeral_2EiZ,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT2,V0n)),ap(c_2Earithmetic_2EBIT2,V1m))) = ap(c_2Earithmetic_2EBIT2,ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) & ap(c_2Enumeral_2EiZ,ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2EBIT2,V0n)),ap(c_2Earithmetic_2EBIT1,V1m))) = ap(c_2Earithmetic_2EBIT1,ap(c_2Enum_2ESUC,ap(ap(c_2Earithmetic_2E_2B,V0n),V1m))) & V0n = ap(c_2Enumeral_2EiZ,ap(ap(c_2Earithmetic_2E_2B,c_2Earithmetic_2EZERO),V0n)))))) # label(conj_thm_2Enumeral_2Enumeral__add) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	90 (all A_27a (ne(A_27a) -> mem(c_2Ewords_2Eword__1comp(A_27a),arr(ty_2Efcp_2Ecart(bool,A_27a),ty_2Efcp_2Ecart(bool,A_27a))))) # label(mem_c_2Ewords_2Eword__1comp) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	91 (all V0A (mem(V0A,bool) -> (p(V0A) -> --p(V0A)))) # label(conj_thm_2Esat_2EAND__INV__IMP) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	92 (all Q (mem(Q,bool) -> (all R (mem(R,bool) -> ((p(Q) -> p(R)) <-> p(ap(ap(c_2Emin_2E_3D_3D_3E,Q),R))))))) # label(ax_imp_p) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	93 (all V0t1 (mem(V0t1,bool) -> (all V1t2 (mem(V1t2,bool) -> (all V2t3 (mem(V2t3,bool) -> (p(V2t3) & p(V1t2) & p(V0t1) <-> p(V2t3) & p(V1t2) & p(V0t1)))))))) # label(conj_thm_2Ebool_2ECONJ__ASSOC) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	94 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> (all V0f (mem(V0f,arr(A_27a,A_27b)) -> (all V1x (mem(V1x,A_27a) -> ap(ap(c_2Ebool_2ELET(A_27a,A_27b),V0f),V1x) = ap(V0f,V1x))))))))) # label(conj_thm_2Ebool_2ELET__THM) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	95 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (all V2p (mem(V2p,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2E_2B,V0m),ap(ap(c_2Earithmetic_2E_2B,V1n),V2p)) = ap(ap(c_2Earithmetic_2E_2B,ap(ap(c_2Earithmetic_2E_2B,V0m),V1n)),V2p))))))) # label(conj_thm_2Earithmetic_2EADD__ASSOC) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	96 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2E_2A,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))),V0m) = V0m & ap(ap(c_2Earithmetic_2E_2B,V0m),ap(ap(c_2Earithmetic_2E_2A,V0m),V1n)) = ap(ap(c_2Earithmetic_2E_2A,V0m),ap(c_2Enum_2ESUC,V1n)) & ap(ap(c_2Earithmetic_2E_2A,ap(c_2Enum_2ESUC,V0m)),V1n) = ap(ap(c_2Earithmetic_2E_2B,ap(ap(c_2Earithmetic_2E_2A,V0m),V1n)),V1n) & V0m = ap(ap(c_2Earithmetic_2E_2A,V0m),ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))) & ap(ap(c_2Earithmetic_2E_2A,V0m),c_2Enum_2E0) = c_2Enum_2E0 & ap(ap(c_2Earithmetic_2E_2A,c_2Enum_2E0),V0m) = c_2Enum_2E0)))) # label(conj_thm_2Earithmetic_2EMULT__CLAUSES) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	97 (all A (ne(A) -> (all Q (mem(Q,arr(A,bool)) -> (p(ap(c_2Ebool_2E_21(A),Q)) <-> (all X (mem(X,A) -> p(ap(Q,X))))))))) # label(ax_all_p) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	98 (all V0i (mem(V0i,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (all V2w (mem(V2w,ty_2Elist_2Elist(bool)) -> (p(ap(ap(c_2Eprim__rec_2E_3C,V0i),V1n)) -> (p(ap(ap(ap(c_2Ebool_2ECOND(bool),ap(ap(c_2Eprim__rec_2E_3C,ap(c_2Elist_2ELENGTH(bool),V2w)),V1n)),ap(ap(c_2Ebool_2E_2F_5C,ap(ap(c_2Earithmetic_2E_3C_3D,ap(ap(c_2Earithmetic_2E_2D,V1n),ap(c_2Elist_2ELENGTH(bool),V2w))),V0i)),ap(ap(c_2Elist_2EEL(bool),ap(ap(c_2Earithmetic_2E_2D,V0i),ap(ap(c_2Earithmetic_2E_2D,V1n),ap(c_2Elist_2ELENGTH(bool),V2w)))),V2w))),ap(ap(c_2Elist_2EEL(bool),ap(ap(c_2Earithmetic_2E_2B,V0i),ap(ap(c_2Earithmetic_2E_2D,ap(c_2Elist_2ELENGTH(bool),V2w)),V1n))),V2w))) <-> p(ap(ap(c_2Elist_2EEL(bool),V0i),ap(ap(c_2Ebitstring_2Efixwidth,V1n),V2w))))))))))) # label(conj_thm_2Ebitstring_2Eel__fixwidth) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	99 (all A (ne(A) -> (all X (mem(X,A) -> (all Y (mem(Y,A) -> (Y = X <-> p(ap(ap(c_2Emin_2E_3D(A),X),Y))))))))) # label(ax_eq_p) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	100 (all A_27a (ne(A_27a) -> mem(c_2Ebool_2Ethe__value(A_27a),ty_2Ebool_2Eitself(A_27a)))) # label(mem_c_2Ebool_2Ethe__value) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	101 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (V0m = V1n <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,V0m),V1n)) & p(ap(ap(c_2Earithmetic_2E_3C_3D,V1n),V0m))))))) # label(conj_thm_2Earithmetic_2EEQ__LESS__EQ) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	102 (all Q (mem(Q,bool) -> (all R (mem(R,bool) -> (p(ap(ap(c_2Ebool_2E_2F_5C,Q),R)) <-> p(Q) & p(R)))))) # label(ax_and_p) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	103 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Enum_2ESUC,V0m)),V1n)) | p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(c_2Enum_2ESUC,V1n)),V0m)) <-> V1n != V0m))))) # label(conj_thm_2Earithmetic_2ENOT__NUM__EQ) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	104 (all A_27a (ne(A_27a) -> (all V0b (mem(V0b,bool) -> (all V1t (mem(V1t,A_27a) -> ap(ap(ap(c_2Ebool_2ECOND(A_27a),V0b),V1t),V1t) = V1t)))))) # label(conj_thm_2Ebool_2ECOND__ID) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	105 (all A_27a (ne(A_27a) -> (all V0w (mem(V0w,ty_2Efcp_2Ecart(bool,A_27a)) -> ap(c_2Efcp_2EFCP(bool,A_27a),f2161(A_27a,V0w)) = ap(c_2Ewords_2Eword__1comp(A_27a),V0w))))) # label(ax_thm_2Ewords_2Eword__1comp__def) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	106 (all V0t (mem(V0t,bool) -> (--p(V0t) <-> p(V0t)))) # label(conj_thm_2Esat_2ENOT__NOT) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	107 (all A_27a (ne(A_27a) -> (all V0t1 (mem(V0t1,A_27a) -> (all V1t2 (mem(V1t2,A_27a) -> ap(ap(ap(c_2Ebool_2ECOND(A_27a),c_2Ebool_2ET),V0t1),V1t2) = V0t1)))) & (all V2t1 (mem(V2t1,A_27a) -> (all V3t2 (mem(V3t2,A_27a) -> ap(ap(ap(c_2Ebool_2ECOND(A_27a),c_2Ebool_2EF),V2t1),V3t2) = V3t2)))))) # label(conj_thm_2Ebool_2Ebool__case__thm) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	108 (all A_27a (ne(A_27a) -> mem(c_2Ebool_2E_21(A_27a),arr(arr(A_27a,bool),bool)))) # label(mem_c_2Ebool_2E_21) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	109 (all V0A (mem(V0A,bool) -> (--p(V0A) -> --p(V0A)))) # label(conj_thm_2Esat_2EAND__INV2) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	110 (all V0t (mem(V0t,bool) -> (($T <-> p(V0t)) <-> p(V0t)) & ((p(V0t) <-> $T) <-> p(V0t)) & (-p(V0t) <-> ($F <-> p(V0t))) & (-p(V0t) <-> (p(V0t) <-> $F)))) # label(conj_thm_2Ebool_2EEQ__CLAUSES) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	111 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> ap(ap(c_2Earithmetic_2E_2B,V1n),V0m) = ap(ap(c_2Earithmetic_2E_2B,V0m),V1n))))) # label(conj_thm_2Earithmetic_2EADD__COMM) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	112 (all V0n (mem(V0n,ty_2Enum_2Enum) -> p(ap(ap(c_2Earithmetic_2E_3C_3D,c_2Enum_2E0),V0n)))) # label(conj_thm_2Earithmetic_2EZERO__LESS__EQ) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	113 (all V0t (mem(V0t,bool) -> ($F -> p(V0t)))) # label(conj_thm_2Ebool_2EFALSITY) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	114 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> mem(c_2Ebool_2ELET(A_27a,A_27b),arr(arr(A_27a,A_27b),arr(A_27a,A_27b))))))) # label(mem_c_2Ebool_2ELET) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	115 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> (all V0g (mem(V0g,arr(ty_2Enum_2Enum,A_27a)) -> (all V1i (mem(V1i,ty_2Enum_2Enum) -> (p(ap(ap(c_2Eprim__rec_2E_3C,V1i),ap(c_2Efcp_2Edimindex(A_27b),c_2Ebool_2Ethe__value(A_27b)))) -> ap(ap(c_2Efcp_2Efcp__index(A_27a,A_27b),ap(c_2Efcp_2EFCP(A_27a,A_27b),V0g)),V1i) = ap(V0g,V1i)))))))))) # label(conj_thm_2Efcp_2EFCP__BETA) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	116 (all V0t (mem(V0t,bool) -> (-p(V0t) <-> (p(V0t) <-> $F)))) # label(conj_thm_2Ebool_2EIMP__F__EQ__F) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	117 $T # label(conj_thm_2Ebool_2ETRUTH) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	118 (all A_27a (ne(A_27a) -> (all V0P (mem(V0P,bool) -> (all V1Q (mem(V1Q,bool) -> (all V2x (mem(V2x,A_27a) -> (all V3x_27 (mem(V3x_27,A_27a) -> (all V4y (mem(V4y,A_27a) -> (all V5y_27 (mem(V5y_27,A_27a) -> ((p(V0P) <-> p(V1Q)) & (p(V1Q) -> V2x = V3x_27) & (-p(V1Q) -> V4y = V5y_27) -> ap(ap(ap(c_2Ebool_2ECOND(A_27a),V1Q),V3x_27),V5y_27) = ap(ap(ap(c_2Ebool_2ECOND(A_27a),V0P),V2x),V4y)))))))))))))))) # label(conj_thm_2Ebool_2ECOND__CONG) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	119 (all A_27a (ne(A_27a) -> mem(c_2Elist_2ELENGTH(A_27a),arr(ty_2Elist_2Elist(A_27a),ty_2Enum_2Enum)))) # label(mem_c_2Elist_2ELENGTH) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	120 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (-p(ap(ap(c_2Eprim__rec_2E_3C,V0m),V1n)) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,V1n),V0m))))))) # label(conj_thm_2Earithmetic_2ENOT__LESS) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	121 (all V0n (mem(V0n,ty_2Enum_2Enum) -> (all V1v (mem(V1v,ty_2Elist_2Elist(bool)) -> V0n = ap(c_2Elist_2ELENGTH(bool),ap(ap(c_2Ebitstring_2Efixwidth,V0n),V1v)))))) # label(conj_thm_2Ebitstring_2Elength__fixwidth) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	122 (all V0A (mem(V0A,bool) -> (all V1B (mem(V1B,bool) -> (all V2C (mem(V2C,bool) -> (p(V2C) | p(V1B) | p(V0A) <-> p(V0A) | p(V2C) | p(V1B)))))))) # label(conj_thm_2Ebool_2EDISJ__ASSOC) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	123 (all V0t (mem(V0t,bool) -> ($T <-> ($F -> p(V0t))) & ((p(V0t) -> p(V0t)) <-> $T) & (-p(V0t) <-> -p(V0t)) & ((p(V0t) -> $T) <-> $T) & (p(V0t) <-> p(V0t)))) # label(conj_thm_2Ebool_2EIMP__CLAUSES) # label(axiom) # label(non_clause).  [assumption].
0.96/1.23	124 (all V0t (mem(V0t,bool) -> p(V0t) | -p(V0t))) # label(conj_thm_2Ebool_2EEXCLUDED__MIDDLE) # label(axiom) # label(non_clause).  [assumption].
5.62/5.93	125 (all V0P (mem(V0P,arr(ty_2Enum_2Enum,bool)) -> (all V1a (mem(V1a,ty_2Enum_2Enum) -> (all V2b (mem(V2b,ty_2Enum_2Enum) -> ((all V3d (mem(V3d,ty_2Enum_2Enum) -> (ap(ap(c_2Earithmetic_2E_2B,V2b),V3d) = V1a -> p(ap(V0P,V3d))) & (ap(ap(c_2Earithmetic_2E_2B,V1a),V3d) = V2b -> p(ap(V0P,c_2Enum_2E0))))) <-> p(ap(V0P,ap(ap(c_2Earithmetic_2E_2D,V1a),V2b)))))))))) # label(conj_thm_2Earithmetic_2ESUB__ELIM__THM) # label(axiom) # label(non_clause).  [assumption].
5.62/5.93	126 (all A_27a (ne(A_27a) -> (all V0x (mem(V0x,A_27a) -> ap(c_2Ecombin_2EI(A_27a),V0x) = V0x)))) # label(conj_thm_2Ecombin_2EI__THM) # label(axiom) # label(non_clause).  [assumption].
5.62/5.93	127 (all V0n (mem(V0n,ty_2Enum_2Enum) -> ap(c_2Enum_2ESUC,V0n) = ap(ap(c_2Earithmetic_2E_2B,ap(c_2Earithmetic_2ENUMERAL,ap(c_2Earithmetic_2EBIT1,c_2Earithmetic_2EZERO))),V0n))) # label(conj_thm_2Earithmetic_2ESUC__ONE__ADD) # label(axiom) # label(non_clause).  [assumption].
5.62/5.93	128 (all V0m (mem(V0m,ty_2Enum_2Enum) -> (all V1n (mem(V1n,ty_2Enum_2Enum) -> (all V2p (mem(V2p,ty_2Enum_2Enum) -> (p(ap(ap(c_2Earithmetic_2E_3C_3D,V0m),ap(ap(c_2Earithmetic_2E_2B,V1n),V2p))) <-> p(ap(ap(c_2Earithmetic_2E_3C_3D,ap(ap(c_2Earithmetic_2E_2D,V0m),V1n)),V2p))))))))) # label(conj_thm_2Earithmetic_2ESUB__RIGHT__LESS__EQ) # label(axiom) # label(non_clause).  [assumption].
5.62/5.93	129 (all A_27a (ne(A_27a) -> (all V0x (mem(V0x,A_27a) -> (V0x = V0x <-> $T))))) # label(conj_thm_2Ebool_2EREFL__CLAUSE) # label(axiom) # label(non_clause).  [assumption].
5.62/5.93	130 -(all A_27a (ne(A_27a) -> (all V0v (mem(V0v,ty_2Elist_2Elist(bool)) -> ap(c_2Ewords_2Eword__1comp(A_27a),ap(c_2Ebitstring_2Ev2w(A_27a),V0v)) = ap(c_2Ebitstring_2Ev2w(A_27a),ap(c_2Ebitstring_2Ebnot,ap(ap(c_2Ebitstring_2Efixwidth,ap(c_2Efcp_2Edimindex(A_27a),c_2Ebool_2Ethe__value(A_27a))),V0v))))))) # label(conj_thm_2Ebitstring_2Eword__1comp__v2w) # label(negated_conjecture) # label(non_clause).  [assumption].
5.62/5.93	
5.62/5.93	============================== end of process non-clausal formulas ===
5.62/5.93	
5.62/5.93	============================== PROCESS INITIAL CLAUSES ===============
5.62/5.93	
5.62/5.93	============================== PREDICATE ELIMINATION =================
5.62/5.93	
5.62/5.93	============================== end predicate elimination =============
5.62/5.93	
5.62/5.93	Auto_denials:  (non-Horn, no changes).
5.62/5.93	
5.62/5.93	Term ordering decisions:
5.62/5.93	Function symbol KB weights:  ty_2Enum_2Enum=1. bool=1. c_2Earithmetic_2E_2B=1. c_2Earithmetic_2E_3C_3D=1. c_2Earithmetic_2ENUMERAL=1. c_2Enum_2E0=1. c_2Earithmetic_2EBIT1=1. c_2Eprim__rec_2E_3C=1. c_2Earithmetic_2E_2D=1. c_2Enum_2ESUC=1. c_2Earithmetic_2EBIT2=1. c_2Earithmetic_2EZERO=1. c_2Earithmetic_2E_2A=1. c_2Enumeral_2EiiSUC=1. c_2Enumeral_2EiZ=1. c_2Earithmetic_2EEVEN=1. c_2Earithmetic_2EEXP=1. c_2Earithmetic_2E_3E_3D=1. c_2Ebool_2E_2F_5C=1. c_2Earithmetic_2EODD=1. c_2Earithmetic_2E_3E=1. c_2Ebitstring_2Efixwidth=1. c_2Ebool_2E_5C_2F=1. c_2Emin_2E_3D_3D_3E=1. c_2Eprim__rec_2EPRE=1. c_2Ebitstring_2Etestbit=1. c_2Ebool_2ET=1. c_2Ebool_2E_7E=1. c_2Ebitstring_2Ebnot=1. c_2Ebool_2EF=1. ind=1. c1=1. c2=1. ap=1. arr=1. ty_2Efcp_2Ecart=1. c_2Efcp_2Efcp__index=1. c_2Ebool_2ELET=1. c_2Efcp_2EFCP=1. c_2Elist_2EMAP=1. f2305=1. f2161=1. k=1. f2=1. f4=1. ty_2Elist_2Elist=1. c_2Elist_2ELENGTH=1. c_2Ebool_2ECOND=1. c_2Elist_2EEL=1. c_2Ebool_2Ethe__value=1. c_2Efcp_2Edimindex=1. c_2Ebool_2E_21=1. c_2Emin_2E_3D=1. ty_2Ebool_2Eitself=1. c_2Ebitstring_2Ev2w=1. c_2Ecombin_2EI=1. c_2Ewords_2Eword__1comp=1. f2293=1. i=1. f5=1. f1=1. f3=1.
5.62/5.93	
5.62/5.93	============================== end of process initial clauses ========
5.62/5.93	
5.62/5.93	============================== CLAUSES FOR SEARCH ====================
5.62/5.93	
5.62/5.93	============================== end of clauses for search =============
5.62/5.93	
5.62/5.93	============================== SEARCH ================================
5.62/5.93	
5.62/5.93	% Starting search at 1.06 seconds.
5.62/5.93	
5.62/5.93	Low Water (keep): wt=53.000, iters=3527
5.62/5.93	
5.62/5.93	Low Water (keep): wt=51.000, iters=3476
5.62/5.93	
5.62/5.93	Low Water (keep): wt=48.000, iters=3348
5.62/5.93	
5.62/5.93	Low Water (keep): wt=44.000, iters=3387
5.62/5.93	
5.62/5.93	Low Water (keep): wt=40.000, iters=3335
5.62/5.93	
5.62/5.93	Low Water (keep): wt=39.000, iters=3355
5.62/5.93	
119.92/120.15	Alarm clock 
119.92/120.15	Prover9 interrupted
119.92/120.16	EOF