0.05/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.11	% Command  : tptp2X_and_run_prover9 %d %s
0.10/0.31	% Computer : n024.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 : 960
0.10/0.31	% WCLimit  : 120
0.10/0.31	% DateTime : Tue Aug  9 06:48:22 EDT 2022
0.10/0.32	% CPUTime  : 
0.76/1.07	============================== Prover9 ===============================
0.76/1.07	Prover9 (32) version 2009-11A, November 2009.
0.76/1.07	Process 19393 was started by sandbox2 on n024.cluster.edu,
0.76/1.07	Tue Aug  9 06:48:23 2022
0.76/1.07	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_19239_n024.cluster.edu".
0.76/1.07	============================== end of head ===========================
0.76/1.07	
0.76/1.07	============================== INPUT =================================
0.76/1.07	
0.76/1.07	% Reading from file /tmp/Prover9_19239_n024.cluster.edu
0.76/1.07	
0.76/1.07	set(prolog_style_variables).
0.76/1.07	set(auto2).
0.76/1.07	    % set(auto2) -> set(auto).
0.76/1.07	    % set(auto) -> set(auto_inference).
0.76/1.07	    % set(auto) -> set(auto_setup).
0.76/1.07	    % set(auto_setup) -> set(predicate_elim).
0.76/1.07	    % set(auto_setup) -> assign(eq_defs, unfold).
0.76/1.07	    % set(auto) -> set(auto_limits).
0.76/1.07	    % set(auto_limits) -> assign(max_weight, "100.000").
0.76/1.07	    % set(auto_limits) -> assign(sos_limit, 20000).
0.76/1.07	    % set(auto) -> set(auto_denials).
0.76/1.07	    % set(auto) -> set(auto_process).
0.76/1.07	    % set(auto2) -> assign(new_constants, 1).
0.76/1.07	    % set(auto2) -> assign(fold_denial_max, 3).
0.76/1.07	    % set(auto2) -> assign(max_weight, "200.000").
0.76/1.07	    % set(auto2) -> assign(max_hours, 1).
0.76/1.07	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.76/1.07	    % set(auto2) -> assign(max_seconds, 0).
0.76/1.07	    % set(auto2) -> assign(max_minutes, 5).
0.76/1.07	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.76/1.07	    % set(auto2) -> set(sort_initial_sos).
0.76/1.07	    % set(auto2) -> assign(sos_limit, -1).
0.76/1.07	    % set(auto2) -> assign(lrs_ticks, 3000).
0.76/1.07	    % set(auto2) -> assign(max_megs, 400).
0.76/1.07	    % set(auto2) -> assign(stats, some).
0.76/1.07	    % set(auto2) -> clear(echo_input).
0.76/1.07	    % set(auto2) -> set(quiet).
0.76/1.07	    % set(auto2) -> clear(print_initial_clauses).
0.76/1.07	    % set(auto2) -> clear(print_given).
0.76/1.07	assign(lrs_ticks,-1).
0.76/1.07	assign(sos_limit,10000).
0.76/1.07	assign(order,kbo).
0.76/1.07	set(lex_order_vars).
0.76/1.07	clear(print_given).
0.76/1.07	
0.76/1.07	% formulas(sos).  % not echoed (65 formulas)
0.76/1.07	
0.76/1.07	============================== end of input ==========================
0.76/1.07	
0.76/1.07	% From the command line: assign(max_seconds, 960).
0.76/1.07	
0.76/1.07	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.76/1.07	
0.76/1.07	% Formulas that are not ordinary clauses:
0.76/1.07	1 (all A all B all C all D all E (m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> m2_relset_1(k9_relset_2(A,B,C,D,E),A,C))) # label(dt_k9_relset_2) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	2 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	3 (all A (v1_xboole_0(A) -> k1_xboole_0 = A)) # label(t6_boole) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	4 (all A (v1_relat_1(A) & -v1_xboole_0(A) -> -v1_xboole_0(k1_relat_1(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	5 (all A all B -(B != A & v1_xboole_0(B) & v1_xboole_0(A))) # label(t8_boole) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	6 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	7 (all A all B all C -(v1_xboole_0(C) & m1_subset_1(B,k1_zfmisc_1(C)) & r2_hidden(A,B))) # label(t5_subset) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	8 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> v1_relat_1(k5_relat_1(A,B)))) # label(dt_k5_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	9 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B))))) # label(t156_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	10 (all A all B all C (m1_relset_1(C,A,B) -> k6_relset_1(A,B,C) = k4_relat_1(C))) # label(redefinition_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	11 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	12 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	13 (all A all B all C all D (m1_relset_1(C,A,B) -> k9_relat_1(C,D) = k10_relset_1(A,B,C,D))) # label(redefinition_k10_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	14 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	15 (all A (v1_xboole_0(A) -> v1_relat_1(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	16 (all A (v1_relat_1(A) & -v1_xboole_0(A) -> -v1_xboole_0(k2_relat_1(A)))) # label(fc6_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	17 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(C)) & r2_hidden(A,B) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	18 (all A (-v1_xboole_0(A) -> (exists B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)))))) # label(rc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	19 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	20 (all A all B all C all D (m1_relset_1(C,A,B) -> m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B)))) # label(dt_k10_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	21 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	22 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	23 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	24 (all A (v1_relat_1(A) -> v1_relat_1(k4_relat_1(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	25 (all A all B (r1_tarski(A,B) <-> m1_subset_1(A,k1_zfmisc_1(B)))) # label(t3_subset) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	26 (all A all B all C (m1_relset_1(C,A,B) -> k1_relat_1(C) = k4_relset_1(A,B,C))) # label(redefinition_k4_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	27 $T # label(dt_k1_funct_5) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	28 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	29 (all A (v1_relat_1(A) -> k4_relat_1(k4_relat_1(A)) = A)) # label(involutiveness_k4_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	30 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	31 (all A all B all C (m1_relset_1(C,A,B) <-> m2_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	32 (exists A (v1_relat_1(A) & v3_relat_1(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	33 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	34 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	35 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k4_relat_1(k5_relat_1(A,B)) = k5_relat_1(k4_relat_1(B),k4_relat_1(A)))))) # label(t54_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	36 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	37 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	38 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	39 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k9_relat_1(C,k9_relat_1(B,A)) = k9_relat_1(k5_relat_1(B,C),A))))) # label(t159_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	40 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(fc1_sysrel) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	41 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	42 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	43 (all A (v1_relat_1(A) -> k1_relat_1(A) = k1_funct_5(A) & k2_funct_5(A) = k2_relat_1(A))) # label(t21_funct_5) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	44 (all A all B all C (m1_relset_1(C,A,B) -> m2_relset_1(k6_relset_1(A,B,C),B,A))) # label(dt_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	45 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	46 (all A all B (v1_xboole_0(A) & v1_relat_1(B) -> v1_xboole_0(k5_relat_1(A,B)) & v1_relat_1(k5_relat_1(A,B)))) # label(fc9_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	47 (all A all B all C all D all E (m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C))) -> k5_relat_1(D,E) = k9_relset_2(A,B,C,D,E))) # label(redefinition_k9_relset_2) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	48 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	49 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	50 (all A all B all C (m1_relset_1(C,A,B) -> m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k4_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	51 (all A all B all C (m2_relset_1(C,B,A) -> k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A) & k2_funct_5(C) = k10_relset_1(B,A,C,B))) # label(t51_relset_2) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	52 (all A all B (v1_relat_1(B) & v1_xboole_0(A) -> v1_xboole_0(k5_relat_1(B,A)) & v1_relat_1(k5_relat_1(B,A)))) # label(fc10_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	53 (exists A (v1_xboole_0(A) & v1_relat_1(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	54 $T # label(dt_k2_funct_5) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	55 (all A (v1_xboole_0(A) -> v1_relat_1(k2_relat_1(A)) & v1_xboole_0(k2_relat_1(A)))) # label(fc8_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	56 (exists A (-v1_xboole_0(A) & v1_relat_1(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	57 (all A (v1_xboole_0(A) -> v1_relat_1(k1_relat_1(A)) & v1_xboole_0(k1_relat_1(A)))) # label(fc7_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	58 (all A (v1_xboole_0(A) -> v1_xboole_0(k4_relat_1(A)) & v1_relat_1(k4_relat_1(A)))) # label(fc11_relat_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	59 (all A all B all C (m1_relset_1(C,A,B) -> C = k6_relset_1(A,B,k6_relset_1(A,B,C)))) # label(involutiveness_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
0.76/1.07	60 -(all A all B all C all D (m2_relset_1(D,A,B) -> (all E (m2_relset_1(E,B,C) -> r1_tarski(k1_funct_5(k9_relset_2(A,B,C,D,E)),k1_funct_5(D)) & k1_funct_5(k9_relset_2(A,B,C,D,E)) = k10_relset_1(B,A,k6_relset_1(A,B,D),k1_funct_5(E)))))) # label(t52_relset_2) # label(negated_conjecture) # label(non_clause).  [assumption].
0.76/1.07	
0.76/1.07	============================== end of process non-clausal formulas ===
0.76/1.07	
0.76/1.07	============================== PROCESS INITIAL CLAUSES ===============
0.76/1.07	
0.76/1.07	============================== PREDICATE ELIMINATION =================
0.76/1.07	61 m1_relset_1(A,B,C) | -m2_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom).  [clausify(31)].
0.76/1.07	62 m2_relset_1(c7,c4,c5) # label(t52_relset_2) # label(negated_conjecture).  [clausify(60)].
0.76/1.07	63 m2_relset_1(c8,c5,c6) # label(t52_relset_2) # label(negated_conjecture).  [clausify(60)].
0.76/1.07	64 m2_relset_1(f5(A,B),A,B) # label(existence_m2_relset_1) # label(axiom).  [clausify(38)].
0.76/1.07	65 -m1_relset_1(A,B,C) | m2_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom).  [clausify(31)].
0.76/1.07	Derived: m1_relset_1(c7,c4,c5).  [resolve(61,b,62,a)].
0.76/1.07	Derived: m1_relset_1(c8,c5,c6).  [resolve(61,b,63,a)].
0.76/1.07	Derived: m1_relset_1(f5(A,B),A,B).  [resolve(61,b,64,a)].
0.76/1.07	66 -m2_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) # label(dt_m2_relset_1) # label(axiom).  [clausify(33)].
0.76/1.07	Derived: m1_subset_1(c7,k1_zfmisc_1(k2_zfmisc_1(c4,c5))).  [resolve(66,a,62,a)].
0.76/1.07	Derived: m1_subset_1(c8,k1_zfmisc_1(k2_zfmisc_1(c5,c6))).  [resolve(66,a,63,a)].
0.76/1.07	Derived: m1_subset_1(f5(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))).  [resolve(66,a,64,a)].
0.76/1.07	Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | -m1_relset_1(A,B,C).  [resolve(66,a,65,b)].
0.76/1.07	67 -m1_relset_1(A,B,C) | m2_relset_1(k6_relset_1(B,C,A),C,B) # label(dt_k6_relset_1) # laAlarm clock 
119.66/120.02	Prover9 interrupted
119.66/120.03	EOF