TSTP Solution File: SEU248+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SEU248+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 13:30:21 EDT 2022

% Result   : Timeout 300.02s 300.28s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU248+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n004.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 : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 13:05:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.43/0.99  ============================== Prover9 ===============================
% 0.43/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.99  Process 22832 was started by sandbox2 on n004.cluster.edu,
% 0.43/0.99  Sun Jun 19 13:05:54 2022
% 0.43/0.99  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_22679_n004.cluster.edu".
% 0.43/0.99  ============================== end of head ===========================
% 0.43/0.99  
% 0.43/0.99  ============================== INPUT =================================
% 0.43/0.99  
% 0.43/0.99  % Reading from file /tmp/Prover9_22679_n004.cluster.edu
% 0.43/0.99  
% 0.43/0.99  set(prolog_style_variables).
% 0.43/0.99  set(auto2).
% 0.43/0.99      % set(auto2) -> set(auto).
% 0.43/0.99      % set(auto) -> set(auto_inference).
% 0.43/0.99      % set(auto) -> set(auto_setup).
% 0.43/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.43/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.99      % set(auto) -> set(auto_limits).
% 0.43/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.99      % set(auto) -> set(auto_denials).
% 0.43/0.99      % set(auto) -> set(auto_process).
% 0.43/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.43/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.43/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.43/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.43/0.99      % set(auto2) -> assign(stats, some).
% 0.43/0.99      % set(auto2) -> clear(echo_input).
% 0.43/0.99      % set(auto2) -> set(quiet).
% 0.43/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.99      % set(auto2) -> clear(print_given).
% 0.43/0.99  assign(lrs_ticks,-1).
% 0.43/0.99  assign(sos_limit,10000).
% 0.43/0.99  assign(order,kbo).
% 0.43/0.99  set(lex_order_vars).
% 0.43/0.99  clear(print_given).
% 0.43/0.99  
% 0.43/0.99  % formulas(sos).  % not echoed (35 formulas)
% 0.43/0.99  
% 0.43/0.99  ============================== end of input ==========================
% 0.43/0.99  
% 0.43/0.99  % From the command line: assign(max_seconds, 300).
% 0.43/0.99  
% 0.43/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.99  
% 0.43/0.99  % Formulas that are not ordinary clauses:
% 0.43/0.99  1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  2 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  3 (all A (relation(A) & empty(A) & function(A) -> relation(A) & function(A) & one_to_one(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  4 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  5 (all A all B (relation(B) -> (all C (relation(C) -> (C = relation_rng_restriction(A,B) <-> (all D all E (in(ordered_pair(D,E),C) <-> in(E,A) & in(ordered_pair(D,E),B)))))))) # label(d12_relat_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  6 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  7 (all A (relation(A) -> (all B (B = relation_dom(A) <-> (all C (in(C,B) <-> (exists D in(ordered_pair(C,D),A)))))))) # label(d4_relat_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  8 (all A all B ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A))) # label(d5_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  9 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  10 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  11 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  12 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  13 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  14 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  15 (all A all B (relation(B) -> relation(relation_rng_restriction(A,B)))) # label(dt_k8_relat_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  16 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  17 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  18 (all A all B -empty(ordered_pair(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  19 (all A all B (relation(B) & function(B) -> relation(relation_rng_restriction(A,B)) & function(relation_rng_restriction(A,B)))) # label(fc5_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  20 (exists A (relation(A) & function(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  21 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  22 (exists A (relation(A) & empty(A) & function(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  23 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  24 (exists A (relation(A) & function(A) & one_to_one(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  25 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  26 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  27 (all A all B (element(A,B) -> empty(B) | in(A,B))) # label(t2_subset) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  28 (all A all B (element(A,powerset(B)) <-> subset(A,B))) # label(t3_subset) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  29 (all A all B all C (in(A,B) & element(B,powerset(C)) -> element(A,C))) # label(t4_subset) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  30 (all A all B all C -(in(A,B) & element(B,powerset(C)) & empty(C))) # label(t5_subset) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  31 (all A (empty(A) -> A = empty_set)) # label(t6_boole) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  32 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  33 (all A all B -(empty(A) & A != B & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause).  [assumption].
% 7.22/7.52  34 -(all A all B (relation(B) -> subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)))) # label(l29_wellord1) # label(negated_conjecture) # label(non_clause).  [assumption].
% 7.22/7.52  
% 7.22/7.52  ============================== end of process non-clausal formulas ===
% 7.22/7.52  
% 7.22/7.52  ============================== PROCESS INITIAL CLAUSES ===============
% 7.22/7.52  
% 7.22/7.52  ============================== PREDICATE ELIMINATION =================
% 7.22/7.52  
% 7.22/7.52  ============================== end predicate elimination =============
% 7.22/7.52  
% 7.22/7.52  Auto_denials:  (non-Horn, no changes).
% 7.22/7.52  
% 7.22/7.52  Term ordering decisions:
% 7.22/7.52  Function symbol KB weights:  empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. ordered_pair=1. relation_rng_restriction=1. unordered_pair=1. f3=1. f5=1. f6=1. relation_dom=1. powerset=1. singleton=1. f7=1. f1=1. f2=1. f4=1.
% 7.22/7.52  
% 7.22/7.52  ============================== end of process initial clauses ========
% 7.22/7.52  
% 7.22/7.52  ============================== CLAUSES FOR SEARCH ====================
% 7.22/7.52  
% 7.22/7.52  ============================== end of clauses for search =============
% 7.22/7.52  
% 7.22/7.52  ============================== SEARCH ================================
% 7.22/7.52  
% 7.22/7.52  % Starting search at 0.02 seconds.
% 7.22/7.52  
% 7.22/7.52  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 317 (0.00 of 1.32 sec).
% 7.22/7.52  
% 7.22/7.52  Low Water (keep): wt=29.000, iters=3333
% 7.22/7.52  
% 7.22/7.52  Low Water (keep): wt=28.000, iters=3418
% 7.22/7.52  
% 7.22/7.52  Low Water (keep): wt=27.000, iters=3366
% 7.22/7.52  
% 7.22/7.52  Low Water (keep): wt=26.000, iters=3340
% 7.22/7.52  
% 7.22/7.52  Low Water (keep): wt=25.000, iters=3345
% 7.22/7.52  
% 7.22/7.52  Low Water (keep): wt=24.000, iters=3355
% 7.22/7.52  
% 7.22/7.52  Low Water (keep): wt=23.000, iters=3358
% 7.22/7.52  
% 7.22/7.52  Low Water (keep): wt=22.000, iters=3368
% 7.22/7.52  
% 7.22/7.52  Low Water (keep): wt=21.000, iters=3344
% 7.22/7.52  
% 7.22/7.52  Low Water (displace): id=8080, wt=152.000
% 7.22/7.52  
% 7.22/7.52  Low Water (displace): id=7052, wt=151.000
% 7.22/7.52  
% 7.22/7.52  Low Water (displace): id=7055, wt=135.000
% 7.22/7.52  
% 7.22/7.52  Low Water (displace): id=3556, wt=121.000
% 7.22/7.52  
% 7.22/7.52  Low Water (displace): id=8170, wt=119.000
% 7.22/7.52  
% 7.22/7.52  Low Water (displace): id=8078, wt=118.000
% 7.22/7.52  
% 7.22/7.52  Low Water (displace): id=3554, wt=112.000
% 7.22/7.52  
% 7.22/7.52  Low Water (displace): id=7405, wt=111.000
% 7.22/7.52  
% 7.22/7.52  Low Water (displace): id=7273, wt=108.000
% 7.22/7.52  
% 7.22/7.52  Low Water (displace): id=3687, wt=40.000
% 7.22/7.52  
% 7.22/7.52  Low Water (Cputime limit exceeded (core dumped)
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