0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : tptp2X_and_run_prover9 %d %s
0.12/0.33	% Computer   : n021.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   : 1200
0.12/0.33	% DateTime   : Wed Jul 14 14:35:11 EDT 2021
0.12/0.34	% CPUTime    : 
0.81/1.08	============================== Prover9 ===============================
0.81/1.08	Prover9 (32) version 2009-11A, November 2009.
0.81/1.08	Process 26411 was started by sandbox on n021.cluster.edu,
0.81/1.08	Wed Jul 14 14:35:12 2021
0.81/1.08	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_26256_n021.cluster.edu".
0.81/1.08	============================== end of head ===========================
0.81/1.08	
0.81/1.08	============================== INPUT =================================
0.81/1.08	
0.81/1.08	% Reading from file /tmp/Prover9_26256_n021.cluster.edu
0.81/1.08	
0.81/1.08	set(prolog_style_variables).
0.81/1.08	set(auto2).
0.81/1.08	    % set(auto2) -> set(auto).
0.81/1.08	    % set(auto) -> set(auto_inference).
0.81/1.08	    % set(auto) -> set(auto_setup).
0.81/1.08	    % set(auto_setup) -> set(predicate_elim).
0.81/1.08	    % set(auto_setup) -> assign(eq_defs, unfold).
0.81/1.08	    % set(auto) -> set(auto_limits).
0.81/1.08	    % set(auto_limits) -> assign(max_weight, "100.000").
0.81/1.08	    % set(auto_limits) -> assign(sos_limit, 20000).
0.81/1.08	    % set(auto) -> set(auto_denials).
0.81/1.08	    % set(auto) -> set(auto_process).
0.81/1.08	    % set(auto2) -> assign(new_constants, 1).
0.81/1.08	    % set(auto2) -> assign(fold_denial_max, 3).
0.81/1.08	    % set(auto2) -> assign(max_weight, "200.000").
0.81/1.08	    % set(auto2) -> assign(max_hours, 1).
0.81/1.08	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.81/1.08	    % set(auto2) -> assign(max_seconds, 0).
0.81/1.08	    % set(auto2) -> assign(max_minutes, 5).
0.81/1.08	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.81/1.08	    % set(auto2) -> set(sort_initial_sos).
0.81/1.08	    % set(auto2) -> assign(sos_limit, -1).
0.81/1.08	    % set(auto2) -> assign(lrs_ticks, 3000).
0.81/1.08	    % set(auto2) -> assign(max_megs, 400).
0.81/1.08	    % set(auto2) -> assign(stats, some).
0.81/1.08	    % set(auto2) -> clear(echo_input).
0.81/1.08	    % set(auto2) -> set(quiet).
0.81/1.08	    % set(auto2) -> clear(print_initial_clauses).
0.81/1.08	    % set(auto2) -> clear(print_given).
0.81/1.08	assign(lrs_ticks,-1).
0.81/1.08	assign(sos_limit,10000).
0.81/1.08	assign(order,kbo).
0.81/1.08	set(lex_order_vars).
0.81/1.08	clear(print_given).
0.81/1.08	
0.81/1.08	% formulas(sos).  % not echoed (65 formulas)
0.81/1.08	
0.81/1.08	============================== end of input ==========================
0.81/1.08	
0.81/1.08	% From the command line: assign(max_seconds, 1200).
0.81/1.08	
0.81/1.08	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.81/1.08	
0.81/1.08	% Formulas that are not ordinary clauses:
0.81/1.08	1 (all U less_than(U,U)) # label(reflexivity) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	2 (all U all V all W (less_than(U,V) & less_than(V,W) -> less_than(U,W))) # label(transitivity) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	3 (all U all V (strictly_less_than(U,V) <-> less_than(U,V) & -less_than(V,U))) # label(stricly_smaller_definition) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	4 (all U all V (less_than(V,U) | less_than(U,V))) # label(totality) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	5 (all U less_than(bottom,U)) # label(bottom_smallest) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	6 (all U all V all W (contains_pq(insert_pq(U,V),W) <-> contains_pq(U,W) | W = V)) # label(ax9) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	7 (all U all V U = remove_pq(insert_pq(U,V),V)) # label(ax11) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	8 (all U all V (issmallestelement_pq(U,V) & contains_pq(U,V) -> removemin_pq_res(U,V) = V)) # label(ax16) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	9 (all U all V (contains_pq(U,V) & issmallestelement_pq(U,V) -> findmin_pq_eff(U,V) = U)) # label(ax13) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	10 (all U all V isnonempty_pq(insert_pq(U,V))) # label(ax7) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	11 (all U all V all W (contains_pq(U,W) & W != V -> insert_pq(remove_pq(U,W),V) = remove_pq(insert_pq(U,V),W))) # label(ax12) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	12 (all U all V all W insert_pq(insert_pq(U,V),W) = insert_pq(insert_pq(U,W),V)) # label(ax17) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	13 (all U all V (issmallestelement_pq(U,V) & contains_pq(U,V) -> remove_pq(U,V) = removemin_pq_eff(U,V))) # label(ax15) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	14 (all U -contains_pq(create_pq,U)) # label(ax8) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	15 (all U all V (issmallestelement_pq(U,V) <-> (all W (contains_pq(U,W) -> less_than(V,W))))) # label(ax10) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	16 (all U all V (contains_pq(U,V) & issmallestelement_pq(U,V) -> findmin_pq_res(U,V) = V)) # label(ax14) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	17 (all U all V all W all X (contains_slb(U,W) & V != W -> insert_slb(remove_slb(U,W),pair(V,X)) = remove_slb(insert_slb(U,pair(V,X)),W))) # label(ax25) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	18 (all U all V all W W = lookup_slb(insert_slb(U,pair(V,W)),V)) # label(ax26) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	19 (all U all V -pair_in_list(create_slb,U,V)) # label(ax22) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	20 (all U all V all W all X (V != W & contains_slb(U,W) -> lookup_slb(insert_slb(U,pair(V,X)),W) = lookup_slb(U,W))) # label(ax27) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	21 (all U all V all W all X (strictly_less_than(X,W) -> insert_slb(update_slb(U,W),pair(V,W)) = update_slb(insert_slb(U,pair(V,X)),W))) # label(ax29) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	22 (all U update_slb(create_slb,U) = create_slb) # label(ax28) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	23 (all U all V all W isnonempty_slb(insert_slb(U,pair(V,W)))) # label(ax19) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	24 (all U all V all W all X all Y (pair_in_list(U,W,Y) | W = V & Y = X <-> pair_in_list(insert_slb(U,pair(V,X)),W,Y))) # label(ax23) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	25 (all U all V all W remove_slb(insert_slb(U,pair(V,W)),V) = U) # label(ax24) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	26 (all U all V all W all X (W = V | contains_slb(U,W) <-> contains_slb(insert_slb(U,pair(V,X)),W))) # label(ax21) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	27 (all U -contains_slb(create_slb,U)) # label(ax20) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	28 (all U all V all W all X (less_than(W,X) -> update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,X)))) # label(ax30) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	29 (all U all V all W (succ_cpq(U,V) -> succ_cpq(U,remove_cpq(V,W)))) # label(ax33) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	30 (all U all V bottom = findmin_cpq_res(triple(U,create_slb,V))) # label(ax50) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	31 (all U all V all W all X (-contains_slb(V,X) -> triple(U,V,bad) = remove_cpq(triple(U,V,W),X))) # label(ax43) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	32 (all U all V all W (-ok(triple(U,V,W)) -> bad = W)) # label(ax41) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	33 (all U all V findmin_cpq_eff(triple(U,create_slb,V)) = triple(U,create_slb,bad)) # label(ax46) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	34 (all U all V all W all X triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W) = insert_cpq(triple(U,V,W),X)) # label(ax42) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	35 (all U succ_cpq(U,U)) # label(ax31) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	36 (all U all V all W all X all Y (strictly_less_than(X,Y) -> (check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) <-> $F))) # label(ax38) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	37 (all U all V ($F <-> ok(triple(U,V,bad)))) # label(ax40) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	38 (all U all V all W (succ_cpq(U,V) -> succ_cpq(U,insert_cpq(V,W)))) # label(ax32) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	39 (all U all V all W all X (strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U))) & contains_slb(V,findmin_pqp_res(U)) & V != create_slb -> triple(U,update_slb(V,findmin_pqp_res(U)),bad) = findmin_cpq_eff(triple(U,V,W)))) # label(ax48) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	40 (all U all V check_cpq(triple(U,create_slb,V))) # label(ax36) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	41 (all U all V all W all X all Y (less_than(Y,X) -> (check_cpq(triple(U,V,W)) <-> check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))))) # label(ax37) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	42 (all U all V all W all X (contains_slb(V,X) <-> contains_cpq(triple(U,V,W),X))) # label(ax39) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	43 (all U removemin_cpq_eff(U) = remove_cpq(findmin_cpq_eff(U),findmin_cpq_res(U))) # label(ax52) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	44 (all U all V (succ_cpq(U,V) -> succ_cpq(U,findmin_cpq_eff(V)))) # label(ax34) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	45 (all U all V all W all X (strictly_less_than(X,lookup_slb(V,X)) & contains_slb(V,X) -> triple(remove_pqp(U,X),remove_slb(V,X),bad) = remove_cpq(triple(U,V,W),X))) # label(ax45) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	46 (all U all V all W all X (less_than(lookup_slb(V,X),X) & contains_slb(V,X) -> remove_cpq(triple(U,V,W),X) = triple(remove_pqp(U,X),remove_slb(V,X),W))) # label(ax44) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	47 (all U all V (succ_cpq(U,V) -> succ_cpq(U,removemin_cpq_eff(V)))) # label(ax35) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	48 (all U all V all W all X (create_slb != V -> findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U))) # label(ax51) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	49 (all U removemin_cpq_res(U) = findmin_cpq_res(U)) # label(ax53) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	50 (all U all V all W all X (create_slb != V & -contains_slb(V,findmin_pqp_res(U)) -> triple(U,update_slb(V,findmin_pqp_res(U)),bad) = findmin_cpq_eff(triple(U,V,W)))) # label(ax47) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	51 (all U all V all W all X (less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) & contains_slb(V,findmin_pqp_res(U)) & V != create_slb -> triple(U,update_slb(V,findmin_pqp_res(U)),W) = findmin_cpq_eff(triple(U,V,W)))) # label(ax49) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	52 (all U all V (pi_sharp_remove(U,V) <-> contains_pq(U,V))) # label(ax56) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	53 (all U all V (contains_pq(U,V) & issmallestelement_pq(U,V) <-> pi_sharp_removemin(U,V))) # label(ax60) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	54 (all U all V create_pq = i(triple(U,create_slb,V))) # label(ax54) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	55 (all U all V (pi_sharp_find_min(U,V) <-> issmallestelement_pq(U,V) & contains_pq(U,V))) # label(ax58) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	56 (all U (pi_removemin(U) <-> (exists V pi_sharp_find_min(i(U),V)))) # label(ax61) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	57 (all U all V all W all X all Y i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X)) # label(ax55) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	58 (all U all V (pi_remove(U,V) <-> pi_sharp_remove(i(U),V))) # label(ax57) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	59 (all U (pi_find_min(U) <-> (exists V pi_sharp_find_min(i(U),V)))) # label(ax59) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	60 (all U (phi(U) <-> (exists V (succ_cpq(U,V) & ok(V) & check_cpq(V))))) # label(ax62) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	61 (all U all V all W all X (contains_pq(i(triple(U,V,W)),X) -> i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X))) # label(main3_li34) # label(lemma) # label(non_clause).  [assumption].
0.81/1.08	62 (all U all V all W all X all Y i(triple(U,W,X)) = i(triple(V,W,Y))) # label(main3_li12) # label(lemma) # label(non_clause).  [assumption].
0.81/1.08	63 -(all U all V all W all X (pi_remove(triple(U,V,W),X) -> (phi(remove_cpq(triple(U,V,W),X)) -> i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X) & pi_sharp_remove(i(triple(U,V,W)),X)))) # label(co3) # label(negated_conjecture) # label(non_clause).  [assumption].
0.81/1.08	
0.81/1.08	============================== end of process non-clausal formulas ===
0.81/1.08	
0.81/1.08	============================== PROCESS INITIAL CLAUSES ===============
0.81/1.08	
0.81/1.08	============================== PREDICATE ELIMINATION =================
0.81/1.08	64 -pi_remove(A,B) | pi_sharp_remove(i(A),B) # label(ax57) # label(axiom).  [clausify(58)].
0.81/1.08	65 pi_remove(triple(c1,c2,c3),c4) # label(co3) # label(negated_conjecture).  [clausify(63)].
0.81/1.09	Derived: pi_sharp_remove(i(triple(c1,c2,c3)),c4).  [resolve(64,a,65,a)].
0.81/1.09	66 pi_remove(A,B) | -pi_sharp_remove(i(A),B) # label(ax57) # label(axiom).  [clausify(58)].
0.81/1.09	67 -phi(A) | ok(f4(A)) # label(ax62) # label(axiom).  [clausify(60)].
0.81/1.09	68 phi(remove_cpq(triple(c1,c2,c3),c4)) # label(co3) # label(negated_conjecture).  [clausify(63)].
0.81/1.09	Derived: ok(f4(remove_cpq(triple(c1,c2,c3),c4))).  [resolve(67,a,68,a)].
0.81/1.09	69 -phi(A) | check_cpq(f4(A)) # label(ax62) # label(axiom).  [clausify(60)].
0.81/1.09	Derived: check_cpq(f4(remove_cpq(triple(c1,c2,c3),c4))).  [resolve(69,a,68,a)].
0.81/1.09	70 -phi(A) | succ_cpq(A,f4(A)) # label(ax62) # label(axiom).  [clausify(60)].
0.81/1.09	Derived: succ_cpq(remove_cpq(triple(c1,c2,c3),c4),f4(remove_cpq(triple(c1,c2,c3),c4))).  [resolve(70,a,68,a)].
0.81/1.09	71 phi(A) | -succ_cpq(A,B) | -ok(B) | -check_cpq(B) # label(ax62) # label(axiom).  [clausify(60)].
0.81/1.09	Derived: -succ_cpq(A,B) | -ok(B) | -check_cpq(B) | ok(f4(A)).  [resolve(71,a,67,a)].
0.81/1.09	Derived: -succ_cpq(A,B) | -ok(B) | -check_cpq(B) | check_cpq(f4(A)).  [resolve(71,a,69,a)].
0.81/1.09	Derived: -succ_cpq(A,B) | -ok(B) | -check_cpq(B) | succ_cpq(A,f4(A)).  [resolve(71,a,70,a)].
0.81/1.09	72 -issmallestelement_pq(A,B) | -contains_pq(A,C) | less_than(B,C) # label(ax10) # label(axiom).  [clausify(15)].
0.81/1.09	73 issmallestelement_pq(A,B) | contains_pq(A,f1(A,B)) # label(ax10) # label(axiom).  [clausify(15)].
0.81/1.09	74 issmallestelement_pq(A,B) | -pi_sharp_removemin(A,B) # label(ax60) # label(axiom).  [clausify(53)].
0.81/1.09	75 -pi_sharp_find_min(A,B) | issmallestelement_pq(A,B) # label(ax58) # label(axiom).  [clausify(55)].
0.81/1.09	76 issmallestelement_pq(A,B) | -less_than(B,f1(A,B)) # label(ax10) # label(axiom).  [clausify(15)].
0.81/1.09	Derived: -contains_pq(A,B) | less_than(C,B) | contains_pq(A,f1(A,C)).  [resolve(72,a,73,a)].
0.81/1.09	Derived: -contains_pq(A,B) | less_than(C,B) | -pi_sharp_removemin(A,C).  [resolve(72,a,74,a)].
0.81/1.09	Derived: -contains_pq(A,B) | less_than(C,B) | -pi_sharp_find_min(A,C).  [resolve(72,a,75,b)].
0.81/1.09	Derived: -contains_pq(A,B) | less_than(C,B) | -less_than(C,f1(A,C)).  [resolve(72,a,76,a)].
0.81/1.09	77 -contains_pq(A,B) | -issmallestelement_pq(A,B) | pi_sharp_removemin(A,B) # label(ax60) # label(axiom).  [clausify(53)].
0.81/1.09	Derived: -contains_pq(A,B) | pi_sharp_removemin(A,B) | contains_pq(A,f1(A,B)).  [resolve(77,b,73,a)].
0.81/1.09	Derived: -contains_pq(A,B) | pi_sharp_removemin(A,B) | -pi_sharp_find_min(A,B).  [resolve(77,b,75,b)].
0.81/1.09	Derived: -contains_pq(A,B) | pi_sharp_removemin(A,B) | -less_than(B,f1(A,B)).  [resolve(77,b,76,a)].
0.81/1.09	78 pi_sharp_find_min(A,B) | -issmallestelement_pq(A,B) | -contains_pq(A,B) # label(ax58) # label(axiom).  [clausify(55)].
0.81/1.09	Derived: pi_sharp_find_min(A,B) | -contains_pq(A,B) | contains_pq(A,f1(A,B)).  [resolve(78,b,73,a)].
0.81/1.09	Derived: pi_sharp_find_min(A,B) | -contains_pq(A,B) | -pi_sharp_removemin(A,B).  [resolve(78,b,74,a)].
0.81/1.09	Derived: pi_sharp_find_min(A,B) | -contains_pq(A,B) | -less_than(B,f1(A,B)).  [resolve(78,b,76,a)].
0.81/1.09	79 -issmallestelement_pq(A,B) | -contains_pq(A,B) | removemin_pq_res(A,B) = B # label(ax16) # label(axiom).  [clausify(8)].
0.81/1.09	Derived: -contains_pq(A,B) | removemin_pq_res(A,B) = B | contains_pq(A,f1(A,B)).  [resolve(79,a,73,a)].
0.81/1.09	Derived: -contains_pq(A,B) | removemin_pq_res(A,B) = B | -pi_sharp_removemin(A,B).  [resolve(79,a,74,a)].
0.81/1.09	Derived: -contains_pq(A,B) | removemin_pq_res(A,B) = B | -pi_sharp_find_min(A,B).  [resolve(79,a,75,b)].
0.81/1.09	Derived: -contains_pq(A,B) | removemin_pq_res(A,B) = B | -less_than(B,f1(A,B)).  [resolve(79,a,76,a)].
0.81/1.09	80 -contains_pq(A,B) | -issmallestelement_pq(A,B) | findmin_pq_eff(A,B) = A # label(ax13) # label(axiom).  [clausify(9)].
0.81/1.09	Derived: -contains_pq(A,B) | findmin_pq_eff(A,B) = A | contains_pq(A,f1(A,B)).  [resolve(80,b,73,a)].
0.81/1.09	Derived: -contains_pq(A,B) | findmin_pq_eff(A,B) = A | -pi_sharp_removemin(A,B).  [resolve(80,b,74,a)].
0.81/1.09	Derived: -contains_pq(A,B) | findmin_pq_eff(A,B) = A | -pi_sharp_find_min(A,B).  [resolve(80,b,75,b)].
0.81/1.09	Derived: -contains_pq(A,B) | findmin_pq_eff(A,B) = A | -less_than(B,f1(A,B)).  [resolve(80,b,76,a)].
0.81/1.09	81 -contains_pq(A,B) | -issmallestelement_pq(A,B) | findmin_pq_res(A,B) = B # label(ax14) # label(axiom).  [clausify(16)].
0.81/1.10	Derived: -contains_pq(A,B) | findmin_pq_res(A,B) = B | contains_pq(A,f1(A,B)).  [resolve(81,b,73,a)].
0.81/1.10	Derived: -contains_pq(A,B) | findmin_pq_res(A,B) = B | -pi_sharp_removemin(A,B).  [resolve(81,b,74,a)].
0.81/1.10	Derived: -contains_pq(A,B) | findmin_pq_res(A,B) = B | -pi_sharp_find_min(A,B).  [resolve(81,b,75,b)].
0.81/1.10	Derived: -contains_pq(A,B) | findmin_pq_res(A,B) = B | -less_than(B,f1(A,B)).  [resolve(81,b,76,a)].
0.81/1.10	82 -issmallestelement_pq(A,B) | -contains_pq(A,B) | removemin_pq_eff(A,B) = remove_pq(A,B) # label(ax15) # label(axiom).  [clausify(13)].
0.81/1.10	Derived: -contains_pq(A,B) | removemin_pq_eff(A,B) = remove_pq(A,B) | contains_pq(A,f1(A,B)).  [resolve(82,a,73,a)].
0.81/1.10	Derived: -contains_pq(A,B) | removemin_pq_eff(A,B) = remove_pq(A,B) | -pi_sharp_removemin(A,B).  [resolve(82,a,74,a)].
0.81/1.10	Derived: -contains_pq(A,B) | removemin_pq_eff(A,B) = remove_pq(A,B) | -pi_sharp_find_min(A,B).  [resolve(82,a,75,b)].
0.81/1.10	Derived: -contains_pq(A,B) | removemin_pq_eff(A,B) = remove_pq(A,B) | -less_than(B,f1(A,B)).  [resolve(82,a,76,a)].
0.81/1.10	83 -contains_pq(A,B) | pi_sharp_removemin(A,B) | contains_pq(A,f1(A,B)).  [resolve(77,b,73,a)].
0.81/1.10	84 contains_pq(A,B) | -pi_sharp_removemin(A,B) # label(ax60) # label(axiom).  [clausify(53)].
0.81/1.10	85 -contains_pq(A,B) | less_than(C,B) | -pi_sharp_removemin(A,C).  [resolve(72,a,74,a)].
0.81/1.10	Derived: -contains_pq(A,B) | contains_pq(A,f1(A,B)) | -contains_pq(A,C) | less_than(B,C).  [resolve(83,b,85,c)].
0.81/1.10	86 -contains_pq(A,B) | pi_sharp_removemin(A,B) | -pi_sharp_find_min(A,B).  [resolve(77,b,75,b)].
0.81/1.10	Derived: -contains_pq(A,B) | -pi_sharp_find_min(A,B) | -contains_pq(A,C) | less_than(B,C).  [resolve(86,b,85,c)].
0.81/1.10	87 -contains_pq(A,B) | pi_sharp_removemin(A,B) | -less_than(B,f1(A,B)).  [resolve(77,b,76,a)].
0.81/1.10	Derived: -contains_pq(A,B) | -less_than(B,f1(A,B)) | -contains_pq(A,C) | less_than(B,C).  [resolve(87,b,85,c)].
0.81/1.10	88 pi_sharp_find_min(A,B) | -contains_pq(A,B) | -pi_sharp_removemin(A,B).  [resolve(78,b,74,a)].
0.81/1.10	Derived: pi_sharp_find_min(A,B) | -contains_pq(A,B) | -contains_pq(A,B) | contains_pq(A,f1(A,B)).  [resolve(88,c,83,b)].
0.81/1.10	89 -contains_pq(A,B) | removemin_pq_res(A,B) = B | -pi_sharp_removemin(A,B).  [resolve(79,a,74,a)].
0.81/1.10	Derived: -contains_pq(A,B) | removemin_pq_res(A,B) = B | -contains_pq(A,B) | contains_pq(A,f1(A,B)).  [resolve(89,c,83,b)].
0.81/1.10	90 -contains_pq(A,B) | findmin_pq_eff(A,B) = A | -pi_sharp_removemin(A,B).  [resolve(80,b,74,a)].
0.81/1.10	Derived: -contains_pq(A,B) | findmin_pq_eff(A,B) = A | -contains_pq(A,B) | contains_pq(A,f1(A,B)).  [resolve(90,c,83,b)].
0.81/1.10	91 -contains_pq(A,B) | findmin_pq_res(A,B) = B | -pi_sharp_removemin(A,B).  [resolve(81,b,74,a)].
0.81/1.10	Derived: -contains_pq(A,B) | findmin_pq_res(A,B) = B | -contains_pq(A,B) | contains_pq(A,f1(A,B)).  [resolve(91,c,83,b)].
0.81/1.10	92 -contains_pq(A,B) | removemin_pq_eff(A,B) = remove_pq(A,B) | -pi_sharp_removemin(A,B).  [resolve(82,a,74,a)].
0.81/1.10	Derived: -contains_pq(A,B) | removemin_pq_eff(A,B) = remove_pq(A,B) | -contains_pq(A,B) | contains_pq(A,f1(A,B)).  [resolve(92,c,83,b)].
0.81/1.10	93 -pi_removemin(A) | pi_sharp_find_min(i(A),f2(A)) # label(ax61) # label(axiom).  [clausify(56)].
0.81/1.10	94 pi_removemin(A) | -pi_sharp_find_min(i(A),B) # label(ax61) # label(axiom).  [clausify(56)].
0.81/1.10	Derived: pi_sharp_find_min(i(A),f2(A)) | -pi_sharp_find_min(i(A),B).  [resolve(93,a,94,a)].
0.81/1.10	95 -pi_find_min(A) | pi_sharp_find_min(i(A),f3(A)) # label(ax59) # label(axiom).  [clausify(59)].
0.81/1.10	96 pi_find_min(A) | -pi_sharp_find_min(i(A),B) # label(ax59) # label(axiom).  [clausify(59)].
0.81/1.10	Derived: pi_sharp_find_min(i(A),f3(A)) | -pi_sharp_find_min(i(A),B).  [resolve(95,a,96,a)].
0.81/1.10	
0.81/1.10	============================== end predicate elimination =============
0.81/1.10	
0.81/1.10	Auto_denials:  (non-Horn, no changes).
0.81/1.10	
0.81/1.10	Term ordering decisions:
0.81/1.10	Function symbol KB weights:  create_slb=1. bad=1. bottom=1. create_pq=1. c1=1. c2=1. c3=1. c4=1. insert_slb=1. pair=1. insert_pq=1. remove_cpq=1. remove_pq=1. update_slb=1. lookup_slb=1. remove_slb=1. findmin_pq_eff=1. findmin_pq_res=1. removemin_pq_eff=1. removemin_pq_res=1. insert_cpq=1. remove_pqp=1. insert_pqp=1. f1=1. i=1. findmin_pqp_res=1. findmin_cpq_eff=1. findmin_cpq_res=1. removemin_cpq_
1.04/1.34	Fatal error:  renum_vars_recurse: too many variables
1.04/1.34	
1.04/1.34	eff=1. removemin_cpq_res=1. f2=1. f3=1. f4=1. triple=1.
1.04/1.34	
1.04/1.34	============================== end of process initial clauses ========
1.04/1.34	
1.04/1.34	============================== CLAUSES FOR SEARCH ====================
1.04/1.34	
1.04/1.34	============================== end of clauses for search =============
1.04/1.34	
1.04/1.34	============================== SEARCH ================================
1.04/1.34	
1.04/1.34	% Starting search at 0.03 seconds.
1.04/1.34	
1.04/1.34	Fatal error:  renum_vars_recurse: too many variables
1.04/1.34	
1.04/1.34	Prover9 interrupted
1.04/1.34	EOF