0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command  : tptp2X_and_run_prover9 %d %s
0.12/0.33	% Computer : n026.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 : 960
0.12/0.33	% WCLimit  : 120
0.12/0.33	% DateTime : Tue Aug  9 05:36:04 EDT 2022
0.12/0.33	% CPUTime  : 
0.86/1.15	============================== Prover9 ===============================
0.86/1.15	Prover9 (32) version 2009-11A, November 2009.
0.86/1.15	Process 18490 was started by sandbox2 on n026.cluster.edu,
0.86/1.15	Tue Aug  9 05:36:04 2022
0.86/1.15	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_18319_n026.cluster.edu".
0.86/1.15	============================== end of head ===========================
0.86/1.15	
0.86/1.15	============================== INPUT =================================
0.86/1.15	
0.86/1.15	% Reading from file /tmp/Prover9_18319_n026.cluster.edu
0.86/1.15	
0.86/1.15	set(prolog_style_variables).
0.86/1.15	set(auto2).
0.86/1.15	    % set(auto2) -> set(auto).
0.86/1.15	    % set(auto) -> set(auto_inference).
0.86/1.15	    % set(auto) -> set(auto_setup).
0.86/1.15	    % set(auto_setup) -> set(predicate_elim).
0.86/1.15	    % set(auto_setup) -> assign(eq_defs, unfold).
0.86/1.15	    % set(auto) -> set(auto_limits).
0.86/1.15	    % set(auto_limits) -> assign(max_weight, "100.000").
0.86/1.15	    % set(auto_limits) -> assign(sos_limit, 20000).
0.86/1.15	    % set(auto) -> set(auto_denials).
0.86/1.15	    % set(auto) -> set(auto_process).
0.86/1.15	    % set(auto2) -> assign(new_constants, 1).
0.86/1.15	    % set(auto2) -> assign(fold_denial_max, 3).
0.86/1.15	    % set(auto2) -> assign(max_weight, "200.000").
0.86/1.15	    % set(auto2) -> assign(max_hours, 1).
0.86/1.15	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.86/1.15	    % set(auto2) -> assign(max_seconds, 0).
0.86/1.15	    % set(auto2) -> assign(max_minutes, 5).
0.86/1.15	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.86/1.15	    % set(auto2) -> set(sort_initial_sos).
0.86/1.15	    % set(auto2) -> assign(sos_limit, -1).
0.86/1.15	    % set(auto2) -> assign(lrs_ticks, 3000).
0.86/1.15	    % set(auto2) -> assign(max_megs, 400).
0.86/1.15	    % set(auto2) -> assign(stats, some).
0.86/1.15	    % set(auto2) -> clear(echo_input).
0.86/1.15	    % set(auto2) -> set(quiet).
0.86/1.15	    % set(auto2) -> clear(print_initial_clauses).
0.86/1.15	    % set(auto2) -> clear(print_given).
0.86/1.15	assign(lrs_ticks,-1).
0.86/1.15	assign(sos_limit,10000).
0.86/1.15	assign(order,kbo).
0.86/1.15	set(lex_order_vars).
0.86/1.15	clear(print_given).
0.86/1.15	
0.86/1.15	% formulas(sos).  % not echoed (54 formulas)
0.86/1.15	
0.86/1.15	============================== end of input ==========================
0.86/1.15	
0.86/1.15	% From the command line: assign(max_seconds, 960).
0.86/1.15	
0.86/1.15	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.86/1.15	
0.86/1.15	% Formulas that are not ordinary clauses:
0.86/1.15	1 (all V0t_2E0 (--p(s(tyop_2Emin_2Ebool,V0t_2E0)) <-> p(s(tyop_2Emin_2Ebool,V0t_2E0)))) # label(thm_2Esat_2ENOT__NOT) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	2 (all X0_2E0 s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X0_2E0))) = s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),c_2Einteger_2Eint__neg_2E0),s(tyop_2Einteger_2Eint,X0_2E0)))) # label(arityeq1_2Ec_2Einteger_2Eint__neg_2E1) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	3 (all V0A_2E0 (p(s(tyop_2Emin_2Ebool,V0A_2E0)) -> (-p(s(tyop_2Emin_2Ebool,V0A_2E0)) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))))) # label(thm_2Esat_2EAND__INV__IMP) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	4 (all A_27a all V0P_2E0 (-(all V1x_2E0 p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V1x_2E0))))) <-> (exists V2x_2E0 -p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V2x_2E0))))))) # label(thm_2Ebool_2ENOT__FORALL__THM) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	5 (all V0_2E0 all V1_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) <-> p(s(tyop_2Emin_2Ebool,V0_2E0)) | p(s(tyop_2Emin_2Ebool,V1_2E0)))) # label(reserved_2Elogic_2E_5C_2F) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	6 (all V0t_2E0 ((s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) <-> p(s(tyop_2Emin_2Ebool,V0t_2E0))) & (s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) <-> -p(s(tyop_2Emin_2Ebool,V0t_2E0))) & (-p(s(tyop_2Emin_2Ebool,V0t_2E0)) <-> s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) & (p(s(tyop_2Emin_2Ebool,V0t_2E0)) <-> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)))) # label(thm_2Ebool_2EEQ__CLAUSES) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	7 (all A_27a all A_27b all A_27c all V0f_2E0 all V1g_2E0 all V2x_2E0 s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0)))) # label(reserved_2Eho_2Es__thm) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	8 (all V0t_2E0 ((p(s(tyop_2Emin_2Ebool,V0t_2E0)) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))) -> -p(s(tyop_2Emin_2Ebool,V0t_2E0)))) # label(thm_2Ebool_2EIMP__F) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	9 (all X0_2E0 all X1_2E0 (p(s(tyop_2Emin_2Ebool,X0_2E0)) & p(s(tyop_2Emin_2Ebool,X1_2E0)) <-> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))) # label(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	10 (all A_27a all V0f_2E0 ((exists V1x_2E0 p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0))))) <-> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))))) # label(reserved_2Equant_2E_3F) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	11 (all X0_2E0 all X1_2E0 (p(s(tyop_2Emin_2Ebool,X1_2E0)) | p(s(tyop_2Emin_2Ebool,X0_2E0)) <-> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))))) # label(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	12 (all V0A_2E0 all V1B_2E0 (p(s(tyop_2Emin_2Ebool,V1B_2E0)) | p(s(tyop_2Emin_2Ebool,V0A_2E0)) <-> p(s(tyop_2Emin_2Ebool,V1B_2E0)) | p(s(tyop_2Emin_2Ebool,V0A_2E0)))) # label(thm_2Ebool_2EDISJ__SYM) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	13 (all A_27a all X0_2E0 all X1_2E0 (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) <-> s(A_27a,X0_2E0) = s(A_27a,X1_2E0))) # label(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	14 (all V0t1_2E0 all V1t2_2E0 ((p(s(tyop_2Emin_2Ebool,V0t1_2E0)) -> p(s(tyop_2Emin_2Ebool,V1t2_2E0))) -> ((p(s(tyop_2Emin_2Ebool,V1t2_2E0)) -> p(s(tyop_2Emin_2Ebool,V0t1_2E0))) -> s(tyop_2Emin_2Ebool,V1t2_2E0) = s(tyop_2Emin_2Ebool,V0t1_2E0)))) # label(thm_2Ebool_2EIMP__ANTISYM__AX) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	15 (all V0r_2E0 all V1q_2E0 all V2p_2E0 ((-p(s(tyop_2Emin_2Ebool,V0r_2E0)) | -p(s(tyop_2Emin_2Ebool,V2p_2E0)) | p(s(tyop_2Emin_2Ebool,V1q_2E0))) & (p(s(tyop_2Emin_2Ebool,V0r_2E0)) | -p(s(tyop_2Emin_2Ebool,V2p_2E0)) | -p(s(tyop_2Emin_2Ebool,V1q_2E0))) & (-p(s(tyop_2Emin_2Ebool,V0r_2E0)) | -p(s(tyop_2Emin_2Ebool,V1q_2E0)) | p(s(tyop_2Emin_2Ebool,V2p_2E0))) & (p(s(tyop_2Emin_2Ebool,V0r_2E0)) | p(s(tyop_2Emin_2Ebool,V1q_2E0)) | p(s(tyop_2Emin_2Ebool,V2p_2E0))) <-> (p(s(tyop_2Emin_2Ebool,V2p_2E0)) <-> s(tyop_2Emin_2Ebool,V1q_2E0) = s(tyop_2Emin_2Ebool,V0r_2E0)))) # label(thm_2Esat_2Edc__eq) # label(axiom) # label(non_clause).  [assumption].
0.86/1.15	16 (all V0_2E0 all V1_2E0 ((p(s(tyop_2Emin_2Ebool,V0_2E0)) -> p(s(tyop_2Emin_2Ebool,V1_2E0))) <-> p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))))) # label(reserved_2Elogic_2E_3D_3D_3E) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	17 (all V0_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0)))) <-> -p(s(tyop_2Emin_2Ebool,V0_2E0)))) # label(reserved_2Elogic_2E_7E) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	18 (all A_27a all V0x_2E0 s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0)) # label(reserved_2Eho_2Ei__thm) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	19 (all V0t_2E0 ((p(s(tyop_2Emin_2Ebool,V0t_2E0)) <-> (p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) -> p(s(tyop_2Emin_2Ebool,V0t_2E0)))) & (p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) <-> (p(s(tyop_2Emin_2Ebool,V0t_2E0)) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))) & ((p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) -> p(s(tyop_2Emin_2Ebool,V0t_2E0))) <-> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))) & ((p(s(tyop_2Emin_2Ebool,V0t_2E0)) -> p(s(tyop_2Emin_2Ebool,V0t_2E0))) <-> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))) & (-p(s(tyop_2Emin_2Ebool,V0t_2E0)) <-> (p(s(tyop_2Emin_2Ebool,V0t_2E0)) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))))) # label(thm_2Ebool_2EIMP__CLAUSES) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	20 (all V0t_2E0 (-p(s(tyop_2Emin_2Ebool,V0t_2E0)) -> (p(s(tyop_2Emin_2Ebool,V0t_2E0)) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))))) # label(thm_2Ebool_2EF__IMP) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	21 (all X0_2E0 all X1_2E0 s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),c_2Einteger_2Eint__sub_2E0),s(tyop_2Einteger_2Eint,X0_2E0))),s(tyop_2Einteger_2Eint,X1_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X0_2E0),s(tyop_2Einteger_2Eint,X1_2E0)))) # label(arityeq2_2Ec_2Einteger_2Eint__sub_2E2) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	22 (all V0B_2E0 all V1A_2E0 ((p(s(tyop_2Emin_2Ebool,V1A_2E0)) -> (-p(s(tyop_2Emin_2Ebool,V0B_2E0)) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))) <-> (-(-p(s(tyop_2Emin_2Ebool,V1A_2E0)) | p(s(tyop_2Emin_2Ebool,V0B_2E0))) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))))) # label(thm_2Esat_2EOR__DUAL3) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	23 (all V0r_2E0 all V1q_2E0 all V2p_2E0 ((p(s(tyop_2Emin_2Ebool,V2p_2E0)) <-> p(s(tyop_2Emin_2Ebool,V0r_2E0)) | p(s(tyop_2Emin_2Ebool,V1q_2E0))) <-> (p(s(tyop_2Emin_2Ebool,V1q_2E0)) | -p(s(tyop_2Emin_2Ebool,V2p_2E0)) | p(s(tyop_2Emin_2Ebool,V0r_2E0))) & (p(s(tyop_2Emin_2Ebool,V2p_2E0)) | -p(s(tyop_2Emin_2Ebool,V0r_2E0))) & (p(s(tyop_2Emin_2Ebool,V2p_2E0)) | -p(s(tyop_2Emin_2Ebool,V1q_2E0))))) # label(thm_2Esat_2Edc__disj) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	24 (all A_27a all V0P_2E0 all V1Q_2E0 ((all V2x_2E0 (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1Q_2E0),s(A_27a,V2x_2E0)))) & p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V2x_2E0)))))) <-> (all V4x_2E0 p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1Q_2E0),s(A_27a,V4x_2E0))))) & (all V3x_2E0 p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V3x_2E0))))))) # label(thm_2Ebool_2EFORALL__AND__THM) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	25 (all V0r_2E0 all V1q_2E0 all V2p_2E0 ((-p(s(tyop_2Emin_2Ebool,V2p_2E0)) | p(s(tyop_2Emin_2Ebool,V1q_2E0))) & (-p(s(tyop_2Emin_2Ebool,V2p_2E0)) | p(s(tyop_2Emin_2Ebool,V0r_2E0))) & (p(s(tyop_2Emin_2Ebool,V2p_2E0)) | -p(s(tyop_2Emin_2Ebool,V0r_2E0)) | -p(s(tyop_2Emin_2Ebool,V1q_2E0))) <-> (p(s(tyop_2Emin_2Ebool,V1q_2E0)) & p(s(tyop_2Emin_2Ebool,V0r_2E0)) <-> p(s(tyop_2Emin_2Ebool,V2p_2E0))))) # label(thm_2Esat_2Edc__conj) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	26 (all V0q_2E0 all V1p_2E0 ((p(s(tyop_2Emin_2Ebool,V0q_2E0)) | p(s(tyop_2Emin_2Ebool,V1p_2E0))) & (-p(s(tyop_2Emin_2Ebool,V0q_2E0)) | -p(s(tyop_2Emin_2Ebool,V1p_2E0))) <-> (p(s(tyop_2Emin_2Ebool,V1p_2E0)) <-> -p(s(tyop_2Emin_2Ebool,V0q_2E0))))) # label(thm_2Esat_2Edc__neg) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	27 (all V0p_2E0 all V1q_2E0 (s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,V0p_2E0),s(tyop_2Einteger_2Eint,V1q_2E0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,V0p_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1q_2E0))))) & s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,V0p_2E0),s(tyop_2Einteger_2Eint,V1q_2E0))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V0p_2E0))),s(tyop_2Einteger_2Eint,V1q_2E0))))) # label(thm_2Einteger_2EINT__DIVIDES__NEG) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	28 (all V0A_2E0 ((-p(s(tyop_2Emin_2Ebool,V0A_2E0)) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))) -> ((p(s(tyop_2Emin_2Ebool,V0A_2E0)) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))))) # label(thm_2Esat_2EAND__INV2) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	29 (all A_27a all A_27b all V0x_2E0 all V1y_2E0 s(A_27a,V0x_2E0) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0)))) # label(reserved_2Eho_2Ek__thm) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	30 (all V0_2E0 all V1_2E0 ((p(s(tyop_2Emin_2Ebool,V0_2E0)) <-> p(s(tyop_2Emin_2Ebool,V1_2E0))) -> s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0))) # label(reserved_2Eho_2Eboolext) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	31 (all V0A_2E0 all V1B_2E0 ((-p(s(tyop_2Emin_2Ebool,V1B_2E0)) | -p(s(tyop_2Emin_2Ebool,V0A_2E0)) <-> -(p(s(tyop_2Emin_2Ebool,V0A_2E0)) & p(s(tyop_2Emin_2Ebool,V1B_2E0)))) & (-(p(s(tyop_2Emin_2Ebool,V0A_2E0)) | p(s(tyop_2Emin_2Ebool,V1B_2E0))) <-> -p(s(tyop_2Emin_2Ebool,V0A_2E0)) & -p(s(tyop_2Emin_2Ebool,V1B_2E0))))) # label(thm_2Ebool_2EDE__MORGAN__THM) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	32 (all V0_2E0 all V1_2E0 (p(s(tyop_2Emin_2Ebool,V1_2E0)) & p(s(tyop_2Emin_2Ebool,V0_2E0)) <-> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))))) # label(reserved_2Elogic_2E_2F_5C) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	33 (all A_27a all V0f_2E0 (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) <-> (all V1x_2E0 p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0))))))) # label(reserved_2Equant_2E_21) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	34 (all X0_2E0 (-p(s(tyop_2Emin_2Ebool,X0_2E0)) <-> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))))) # label(arityeq1_2Ec_2Ebool_2E_7E_2E1) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	35 (all V0x_2E0 all V1y_2E0 s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,V1y_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V0x_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,V1y_2E0)))))) # label(thm_2Einteger_2Eint__sub) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	36 (all V0t_2E0 (s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) | s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))) # label(reserved_2Eho_2Ebool__cases__ax) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	37 (all X0_2E0 all X1_2E0 s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X0_2E0),s(tyop_2Einteger_2Eint,X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)),c_2Einteger_2Eint__divides_2E0),s(tyop_2Einteger_2Eint,X0_2E0))),s(tyop_2Einteger_2Eint,X1_2E0)))) # label(arityeq2_2Ec_2Einteger_2Eint__divides_2E2) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	38 (all A_27a all X0_2E0 s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) # label(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	39 (all V0A_2E0 all V1B_2E0 all V2C_2E0 (p(s(tyop_2Emin_2Ebool,V0A_2E0)) | p(s(tyop_2Emin_2Ebool,V2C_2E0)) | p(s(tyop_2Emin_2Ebool,V1B_2E0)) <-> p(s(tyop_2Emin_2Ebool,V0A_2E0)) | p(s(tyop_2Emin_2Ebool,V1B_2E0)) | p(s(tyop_2Emin_2Ebool,V2C_2E0)))) # label(thm_2Ebool_2EDISJ__ASSOC) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	40 (all V0B_2E0 all V1A_2E0 ((-(p(s(tyop_2Emin_2Ebool,V1A_2E0)) | p(s(tyop_2Emin_2Ebool,V0B_2E0))) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))) <-> ((p(s(tyop_2Emin_2Ebool,V1A_2E0)) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))) -> (-p(s(tyop_2Emin_2Ebool,V0B_2E0)) -> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))))) # label(thm_2Esat_2EOR__DUAL2) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	41 (all X0_2E0 all X1_2E0 s(tyop_2Einteger_2Eint,app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint),app_2E2(s(tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)),c_2Einteger_2Eint__add_2E0),s(tyop_2Einteger_2Eint,X0_2E0))),s(tyop_2Einteger_2Eint,X1_2E0))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X0_2E0),s(tyop_2Einteger_2Eint,X1_2E0)))) # label(arityeq2_2Ec_2Einteger_2Eint__add_2E2) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	42 (all A_27a all A_27b all V0f_2E0 all V1g_2E0 ((all V2x_2E0 s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))) -> s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0))) # label(reserved_2Eho_2Eeq__ext) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	43 (all A_27a all V0_2E0 all V1_2E0 (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0)))) <-> s(A_27a,V0_2E0) = s(A_27a,V1_2E0))) # label(reserved_2Elogic_2E_3D) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	44 (all V0p_2E0 all V1q_2E0 all V2r_2E0 (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,V0p_2E0),s(tyop_2Einteger_2Eint,V1q_2E0)))) -> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,V0p_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,V2r_2E0),s(tyop_2Einteger_2Eint,V1q_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,V0p_2E0),s(tyop_2Einteger_2Eint,V2r_2E0))))) # label(thm_2Einteger_2EINT__DIVIDES__RADD) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	45 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) <-> -p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) # label(thm_2Ebool_2ENOT__CLAUSES_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	46 p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) <-> -p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) # label(thm_2Ebool_2ENOT__CLAUSES_AndRHS_AndLHS) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	47 (all V0t_2E0 (--p(s(tyop_2Emin_2Ebool,V0t_2E0)) <-> p(s(tyop_2Emin_2Ebool,V0t_2E0)))) # label(thm_2Ebool_2ENOT__CLAUSES_AndRHS_AndRHS) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	48 (all V0r_2E0 all V1q_2E0 all V2p_2E0 ((-p(s(tyop_2Emin_2Ebool,V1q_2E0)) | p(s(tyop_2Emin_2Ebool,V0r_2E0)) | -p(s(tyop_2Emin_2Ebool,V2p_2E0))) & (p(s(tyop_2Emin_2Ebool,V2p_2E0)) | -p(s(tyop_2Emin_2Ebool,V0r_2E0))) & (p(s(tyop_2Emin_2Ebool,V2p_2E0)) | p(s(tyop_2Emin_2Ebool,V1q_2E0))) <-> ((p(s(tyop_2Emin_2Ebool,V1q_2E0)) -> p(s(tyop_2Emin_2Ebool,V0r_2E0))) <-> p(s(tyop_2Emin_2Ebool,V2p_2E0))))) # label(thm_2Esat_2Edc__imp) # label(axiom) # label(non_clause).  [assumption].
0.86/1.16	49 (all X0_2E0 all X1_2E0 (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) <-> (p(s(tyop_2Emin_2Ebool,X0_2E0)) -> p(s(tyop_2Emin_2Ebool,X1_2E0))))) # label(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2) # label(axiom) # label(non_clause).  [assumption].
7.93/8.27	50 (all A_27a all X0_2E0 s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))) # label(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a) # label(axiom) # label(non_clause).  [assumption].
7.93/8.27	51 -(all V0p_2E0 all V1q_2E0 all V2r_2E0 (p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,V0p_2E0),s(tyop_2Einteger_2Eint,V1q_2E0)))) -> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,V0p_2E0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,V2r_2E0),s(tyop_2Einteger_2Eint,V1q_2E0))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,V0p_2E0),s(tyop_2Einteger_2Eint,V2r_2E0))))) # label(thm_2Einteger_2EINT__DIVIDES__RSUB) # label(negated_conjecture) # label(non_clause).  [assumption].
7.93/8.27	
7.93/8.27	============================== end of process non-clausal formulas ===
7.93/8.27	
7.93/8.27	============================== PROCESS INITIAL CLAUSES ===============
7.93/8.27	
7.93/8.27	============================== PREDICATE ELIMINATION =================
7.93/8.27	
7.93/8.27	============================== end predicate elimination =============
7.93/8.27	
7.93/8.27	Auto_denials:  (non-Horn, no changes).
7.93/8.27	
7.93/8.27	Term ordering decisions:
7.93/8.27	Function symbol KB weights:  tyop_2Emin_2Ebool=1. tyop_2Einteger_2Eint=1. c_2Ebool_2ET_2E0=1. c_2Ebool_2EF_2E0=1. c_2Ebool_2E_2F_5C_2E0=1. c_2Ebool_2E_5C_2F_2E0=1. c_2Emin_2E_3D_3D_3E_2E0=1. c_2Emin_2E_3D_2E0=1. c_2Ebool_2E_21_2E0=1. c_2Ebool_2E_3F_2E0=1. c_2Ebool_2E_7E_2E0=1. c_2Einteger_2Eint__add_2E0=1. c_2Einteger_2Eint__divides_2E0=1. c_2Einteger_2Eint__neg_2E0=1. c_2Einteger_2Eint__sub_2E0=1. combin_i_2E0=1. combin_k_2E0=1. combin_s_2E0=1. c1=1. c2=1. c3=1. s=1. tyop_2Emin_2Efun=1. app_2E2=1. c_2Einteger_2Eint__divides_2E2=1. c_2Ebool_2E_2F_5C_2E2=1. c_2Ebool_2E_5C_2F_2E2=1. c_2Einteger_2Eint__add_2E2=1. c_2Emin_2E_3D_3D_3E_2E2=1. c_2Einteger_2Eint__sub_2E2=1. c_2Emin_2E_3D_2E2=1. f1=1. f2=1. f3=1. f7=1. c_2Einteger_2Eint__neg_2E1=1. c_2Ebool_2E_21_2E1=1. c_2Ebool_2E_3F_2E1=1. c_2Ebool_2E_7E_2E1=1. f4=1. f5=1. f6=1. f8=1.
7.93/8.27	
7.93/8.27	============================== end of process initial clauses ========
7.93/8.27	
7.93/8.27	============================== CLAUSES FOR SEARCH ====================
7.93/8.27	
7.93/8.27	============================== end of clauses for search =============
7.93/8.27	
7.93/8.27	============================== SEARCH ================================
7.93/8.27	
7.93/8.27	% Starting search at 0.02 seconds.
7.93/8.27	
7.93/8.27	Low Water (keep): wt=113.000, iters=3495
7.93/8.27	
7.93/8.27	Low Water (keep): wt=97.000, iters=3340
7.93/8.27	
7.93/8.27	Low Water (keep): wt=87.000, iters=3343
7.93/8.27	
7.93/8.27	Low Water (keep): wt=84.000, iters=3595
7.93/8.27	
7.93/8.27	Low Water (keep): wt=76.000, iters=3526
7.93/8.27	
7.93/8.27	Low Water (keep): wt=66.000, iters=3442
7.93/8.27	
7.93/8.27	Low Water (keep): wt=62.000, iters=3416
7.93/8.27	
7.93/8.27	Low Water (keep): wt=60.000, iters=3353
7.93/8.27	
7.93/8.27	Low Water (keep): wt=59.000, iters=3351
7.93/8.27	
7.93/8.27	Low Water (keep): wt=57.000, iters=3334
7.93/8.27	
7.93/8.27	Low Water (keep): wt=56.000, iters=3337
7.93/8.27	
7.93/8.27	Low Water (keep): wt=55.000, iters=3357
7.93/8.27	
7.93/8.27	Low Water (keep): wt=53.000, iters=3359
7.93/8.27	
7.93/8.27	Low Water (keep): wt=52.000, iters=3400
7.93/8.27	
7.93/8.27	Low Water (keep): wt=51.000, iters=3381
7.93/8.27	
7.93/8.27	Low Water (keep): wt=50.000, iters=3355
7.93/8.27	
7.93/8.27	Low Water (keep): wt=48.000, iters=3378
7.93/8.27	
7.93/8.27	Low Water (keep): wt=47.000, iters=3424
7.93/8.27	
7.93/8.27	Low Water (keep): wt=44.000, iters=3477
7.93/8.27	
7.93/8.27	Low Water (keep): wt=42.000, iters=3403
7.93/8.27	
7.93/8.27	Low Water (keep): wt=41.000, iters=3414
7.93/8.27	
7.93/8.27	Low Water (keep): wt=40.000, iters=3341
7.93/8.27	
7.93/8.27	Low Water (keep): wt=39.000, iters=3381
7.93/8.27	
7.93/8.27	Low Water (keep): wt=38.000, iters=3334
7.93/8.27	
7.93/8.27	Low Water (keep): wt=37.000, iters=3340
7.93/8.27	
7.93/8.27	Low Water (displace): id=4275, wt=198.000
7.93/8.27	
7.93/8.27	Low Water (displace): id=2901, wt=159.000
7.93/8.27	
7.93/8.27	Low Water (displace): id=5580, wt=150.000
7.93/8.27	
7.93/8.27	Low Water (displace): id=9072, wt=142.000
7.93/8.27	
7.93/8.27	Low Water (keep): wt=35.000, iters=3348
7.93/8.27	
7.93/8.27	Low Water (displacAlarm clock 
119.45/120.07	Prover9 interrupted
119.45/120.07	EOF