0.02/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.11	% Command    : tptp2X_and_run_prover9 %d %s
0.10/0.31	% Computer   : n004.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 1200
0.10/0.31	% DateTime   : Tue Jul 13 15:18:24 EDT 2021
0.10/0.31	% CPUTime    : 
0.76/1.05	============================== Prover9 ===============================
0.76/1.05	Prover9 (32) version 2009-11A, November 2009.
0.76/1.05	Process 19063 was started by sandbox2 on n004.cluster.edu,
0.76/1.05	Tue Jul 13 15:18:24 2021
0.76/1.05	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_18910_n004.cluster.edu".
0.76/1.05	============================== end of head ===========================
0.76/1.05	
0.76/1.05	============================== INPUT =================================
0.76/1.05	
0.76/1.05	% Reading from file /tmp/Prover9_18910_n004.cluster.edu
0.76/1.05	
0.76/1.05	set(prolog_style_variables).
0.76/1.05	set(auto2).
0.76/1.05	    % set(auto2) -> set(auto).
0.76/1.05	    % set(auto) -> set(auto_inference).
0.76/1.05	    % set(auto) -> set(auto_setup).
0.76/1.05	    % set(auto_setup) -> set(predicate_elim).
0.76/1.05	    % set(auto_setup) -> assign(eq_defs, unfold).
0.76/1.05	    % set(auto) -> set(auto_limits).
0.76/1.05	    % set(auto_limits) -> assign(max_weight, "100.000").
0.76/1.05	    % set(auto_limits) -> assign(sos_limit, 20000).
0.76/1.05	    % set(auto) -> set(auto_denials).
0.76/1.05	    % set(auto) -> set(auto_process).
0.76/1.05	    % set(auto2) -> assign(new_constants, 1).
0.76/1.05	    % set(auto2) -> assign(fold_denial_max, 3).
0.76/1.05	    % set(auto2) -> assign(max_weight, "200.000").
0.76/1.05	    % set(auto2) -> assign(max_hours, 1).
0.76/1.05	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.76/1.05	    % set(auto2) -> assign(max_seconds, 0).
0.76/1.05	    % set(auto2) -> assign(max_minutes, 5).
0.76/1.05	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.76/1.05	    % set(auto2) -> set(sort_initial_sos).
0.76/1.05	    % set(auto2) -> assign(sos_limit, -1).
0.76/1.05	    % set(auto2) -> assign(lrs_ticks, 3000).
0.76/1.05	    % set(auto2) -> assign(max_megs, 400).
0.76/1.05	    % set(auto2) -> assign(stats, some).
0.76/1.05	    % set(auto2) -> clear(echo_input).
0.76/1.05	    % set(auto2) -> set(quiet).
0.76/1.05	    % set(auto2) -> clear(print_initial_clauses).
0.76/1.05	    % set(auto2) -> clear(print_given).
0.76/1.05	assign(lrs_ticks,-1).
0.76/1.05	assign(sos_limit,10000).
0.76/1.05	assign(order,kbo).
0.76/1.05	set(lex_order_vars).
0.76/1.05	clear(print_given).
0.76/1.05	
0.76/1.05	% formulas(sos).  % not echoed (34 formulas)
0.76/1.05	
0.76/1.05	============================== end of input ==========================
0.76/1.05	
0.76/1.05	% From the command line: assign(max_seconds, 1200).
0.76/1.05	
0.76/1.05	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.76/1.05	
0.76/1.05	% Formulas that are not ordinary clauses:
0.76/1.05	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].
0.76/1.05	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].
0.76/1.05	3 (all A (ne(A) -> (all B (ne(B) -> ne(arr(A,B)))))) # label(arr_ne) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	4 (all A all X (mem(X,A) -> ap(i(A),X) = X)) # label(ibeta) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	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].
0.76/1.05	6 (all A all Y all X (mem(X,A) -> ap(k(A,Y),X) = Y)) # label(kbeta) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	7 (all A_27a (ne(A_27a) -> (all V0x (mem(V0x,A_27a) -> ($T <-> V0x = V0x))))) # label(conj_thm_2Ebool_2EREFL__CLAUSE) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	8 (all Q (mem(Q,bool) -> (all R (mem(R,bool) -> (p(Q) & p(R) <-> p(ap(ap(c_2Ebool_2E_2F_5C,Q),R))))))) # label(ax_and_p) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	9 (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 & ap(ap(ap(c_2Ebool_2ECOND(A_27a),c_2Ebool_2EF),V0t1),V1t2) = V1t2)))))) # label(conj_thm_2Ebool_2ECOND__CLAUSES) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	10 $T # label(conj_thm_2Ebool_2ETRUTH) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	11 (all A_27a (ne(A_27a) -> (all V0x (mem(V0x,A_27a) -> (all V1y (mem(V1y,A_27a) -> (V1y = V0x <-> ap(c_2Eoption_2ESOME(A_27a),V1y) = ap(c_2Eoption_2ESOME(A_27a),V0x)))))))) # label(conj_thm_2Eoption_2ESOME__11) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	12 (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].
0.76/1.05	13 (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].
0.76/1.05	14 (all A_27a (ne(A_27a) -> (all V0x (mem(V0x,A_27a) -> V0x = ap(c_2Eoption_2ETHE(A_27a),ap(c_2Eoption_2ESOME(A_27a),V0x)))))) # label(ax_thm_2Eoption_2ETHE__DEF) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	15 (all A0 (ne(A0) -> ne(ty_2Eoption_2Eoption(A0)))) # label(ne_ty_2Eoption_2Eoption) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	16 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> (all A_27c (ne(A_27c) -> (all V0f (mem(V0f,arr(A_27b,arr(A_27c,A_27a))) -> (all V1x (mem(V1x,ty_2Eoption_2Eoption(A_27b)) -> (all V2y (mem(V2y,ty_2Eoption_2Eoption(A_27c)) -> ap(ap(ap(c_2Eoption_2EOPTION__MAP2(A_27a,A_27b,A_27c),V0f),V1x),V2y) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(A_27a)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(A_27b),V1x)),ap(c_2Eoption_2EIS__SOME(A_27c),V2y))),ap(c_2Eoption_2ESOME(A_27a),ap(ap(V0f,ap(c_2Eoption_2ETHE(A_27b),V1x)),ap(c_2Eoption_2ETHE(A_27c),V2y)))),c_2Eoption_2ENONE(A_27a)))))))))))))) # label(ax_thm_2Eoption_2EOPTION__MAP2__DEF) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	17 (all A_27a (ne(A_27a) -> (all V0x (mem(V0x,A_27a) -> (p(ap(c_2Eoption_2EIS__SOME(A_27a),ap(c_2Eoption_2ESOME(A_27a),V0x))) <-> $T))) & (p(ap(c_2Eoption_2EIS__SOME(A_27a),c_2Eoption_2ENONE(A_27a))) <-> $F))) # label(ax_thm_2Eoption_2EIS__SOME__DEF) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	18 (all A_27a (ne(A_27a) -> mem(c_2Eoption_2EIS__SOME(A_27a),arr(ty_2Eoption_2Eoption(A_27a),bool)))) # label(mem_c_2Eoption_2EIS__SOME) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	19 (all A_27a (ne(A_27a) -> mem(c_2Ebool_2ECOND(A_27a),arr(bool,arr(A_27a,arr(A_27a,A_27a)))))) # label(mem_c_2Ebool_2ECOND) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	20 (all A_27a (ne(A_27a) -> mem(c_2Eoption_2ETHE(A_27a),arr(ty_2Eoption_2Eoption(A_27a),A_27a)))) # label(mem_c_2Eoption_2ETHE) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	21 (all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> (all A_27c (ne(A_27c) -> mem(c_2Eoption_2EOPTION__MAP2(A_27a,A_27b,A_27c),arr(arr(A_27b,arr(A_27c,A_27a)),arr(ty_2Eoption_2Eoption(A_27b),arr(ty_2Eoption_2Eoption(A_27c),ty_2Eoption_2Eoption(A_27a))))))))))) # label(mem_c_2Eoption_2EOPTION__MAP2) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	22 (all V0t (mem(V0t,bool) -> (p(V0t) <-> p(V0t)) & ($F <-> p(V0t) & $F) & (p(V0t) <-> p(V0t) & p(V0t)) & ($F & p(V0t) <-> $F) & (p(V0t) <-> p(V0t)))) # label(conj_thm_2Ebool_2EAND__CLAUSES) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	23 (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].
0.76/1.05	24 (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].
0.76/1.05	25 (all A_27a (ne(A_27a) -> mem(c_2Eoption_2ESOME(A_27a),arr(A_27a,ty_2Eoption_2Eoption(A_27a))))) # label(mem_c_2Eoption_2ESOME) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	26 (all A_27a (ne(A_27a) -> mem(c_2Eoption_2ENONE(A_27a),ty_2Eoption_2Eoption(A_27a)))) # label(mem_c_2Eoption_2ENONE) # label(axiom) # label(non_clause).  [assumption].
0.76/1.05	27 -(all A_27a (ne(A_27a) -> (all A_27b (ne(A_27b) -> (all A_27c (ne(A_27c) -> (all V0f (mem(V0f,arr(A_27b,arr(A_27c,A_27a))) -> (all V1x (mem(V1x,A_27b) -> (all V2y (mem(V2y,A_27c) -> ap(c_2Eoption_2ESOME(A_27a),ap(ap(V0f,V1x),V2y)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(A_27a,A_27b,A_27c),V0f),ap(c_2Eoption_2ESOME(A_27b),V1x)),ap(c_2Eoption_2ESOME(A_27c),V2y)) & ap(ap(ap(c_2Eoption_2EOPTION__MAP2(A_27a,A_27b,A_27c),V0f),c_2Eoption_2ENONE(A_27b)),c_2Eoption_2ENONE(A_27c)) = c_2Eoption_2ENONE(A_27a) & ap(ap(ap(c_2Eoption_2EOPTION__MAP2(A_27a,A_27b,A_27c),V0f),c_2Eoption_2ENONE(A_27b)),ap(c_2Eoption_2ESOME(A_27c),V2y)) = c_2Eoption_2ENONE(A_27a) & ap(ap(ap(c_2Eoption_2EOPTION__MAAlarm clock 
119.71/120.03	Prover9 interrupted
119.71/120.03	EOF